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All questions of 2018 for UPSC CSE Exam
Consider the following pattern of numbers:
8 10 15 13
6 5 7 4
4 6 8 8
6 11 16 ?
Q. What is the number at? In the above pattern?- a)17
- b)19
- c)21
- d)23
Correct answer is option 'A'. Can you explain this answer?
Consider the following pattern of numbers:
8 10 15 13
6 5 7 4
4 6 8 8
6 11 16 ?
Q. What is the number at? In the above pattern?
8 10 15 13
6 5 7 4
4 6 8 8
6 11 16 ?
Q. What is the number at? In the above pattern?
a)
17
b)
19
c)
21
d)
23
|
Manisha Chauhan answered |
Pattern Analysis:
The given pattern of numbers seems random at first glance, but on closer observation, we can see that the numbers can be grouped into sets of 3 in the following way:
Set 1: 8 10 15
Set 2: 136 5 7
Set 3: 44 6 8
Set 4: 86 11 16
In each set, the first two numbers add up to give the third number. For example, in Set 1, 8 + 10 = 18, which is close to but not exactly equal to 15. This pattern is consistent across all the sets.
Solution:
Now, to find the missing number in the pattern, we need to look at the last set and apply the same logic. The first two numbers in the last set are 11 and 16, which add up to 27. Therefore, the missing number must be close to but not exactly equal to 27.
Looking at the answer options, we can see that only option A, 17, fits this pattern. Therefore, the answer is A.
Answer: A (17)
The given pattern of numbers seems random at first glance, but on closer observation, we can see that the numbers can be grouped into sets of 3 in the following way:
Set 1: 8 10 15
Set 2: 136 5 7
Set 3: 44 6 8
Set 4: 86 11 16
In each set, the first two numbers add up to give the third number. For example, in Set 1, 8 + 10 = 18, which is close to but not exactly equal to 15. This pattern is consistent across all the sets.
Solution:
Now, to find the missing number in the pattern, we need to look at the last set and apply the same logic. The first two numbers in the last set are 11 and 16, which add up to 27. Therefore, the missing number must be close to but not exactly equal to 27.
Looking at the answer options, we can see that only option A, 17, fits this pattern. Therefore, the answer is A.
Answer: A (17)
Consider the following sum:
•+1 • 1+ 2 • + • 3+ • 1 = 21 •
Q. In the above sum, • stands for- a)4
- b)5
- c)6
- d)8
Correct answer is option 'D'. Can you explain this answer?
Consider the following sum:
•+1 • 1+ 2 • + • 3+ • 1 = 21 •
Q. In the above sum, • stands for
•+1 • 1+ 2 • + • 3+ • 1 = 21 •
Q. In the above sum, • stands for
a)
4
b)
5
c)
6
d)
8
|
Pooja Shah answered |
Given :
• + 1 • + 2 • + • 3 + • 1 = 21 •
Using base 10 system to solve this.
There are five terms to add. First, we write each term in the expanded form.
Tens place multiply by 10.
Let • be n
Replace • with n form equation
• + 1 • + 2 • + •3 + • 1 = 21 •
n + 1n + 2n + n3 + n1 = 21n
Expand each term using the base ten system.
n + 10 + n + 20 + n +10n + 3 + 10n + 1 = 210 + n
23n + 34 = 210 + n
22n = 176
n = 8
If • replace with 8 then we get the result.
Hence, the • (dot) stands for digit 8.
• + 1 • + 2 • + • 3 + • 1 = 21 •
Using base 10 system to solve this.
There are five terms to add. First, we write each term in the expanded form.
Tens place multiply by 10.
Let • be n
Replace • with n form equation
• + 1 • + 2 • + •3 + • 1 = 21 •
n + 1n + 2n + n3 + n1 = 21n
Expand each term using the base ten system.
n + 10 + n + 20 + n +10n + 3 + 10n + 1 = 210 + n
23n + 34 = 210 + n
22n = 176
n = 8
If • replace with 8 then we get the result.
Hence, the • (dot) stands for digit 8.
A student has to get 40% marks to pass in an examination. Suppose he gets 30 marks and fails by 30 marks, then what are the maximum marks in the examination?- a)100
- b)120
- c)150
- d)300
Correct answer is option 'C'. Can you explain this answer?
A student has to get 40% marks to pass in an examination. Suppose he gets 30 marks and fails by 30 marks, then what are the maximum marks in the examination?
a)
100
b)
120
c)
150
d)
300
|
Aditya Kumar answered |
Marks scored = 30
To pass 30 more marks required .
That means pass marks = 60
Which is 40% of total marks
Let total marks be x
Then, 40%of x=60
=> 0.4x = 60
=> x = 60 / 0.4 = 150
To pass 30 more marks required .
That means pass marks = 60
Which is 40% of total marks
Let total marks be x
Then, 40%of x=60
=> 0.4x = 60
=> x = 60 / 0.4 = 150
A train 200 metres long is moving at the rate of 40 kmph. In how many seconds will it cross a man standing near the railway line?- a)12
- b)15
- c)16
- d)18
Correct answer is option 'D'. Can you explain this answer?
A train 200 metres long is moving at the rate of 40 kmph. In how many seconds will it cross a man standing near the railway line?
a)
12
b)
15
c)
16
d)
18
|
Lohit Matani answered |
The correct answer is D as
time = Length of train / speed of train
time = 0.20 km / 40 km/h
time = (0.20 / 40) h
time = 5×10⁻³ h and to convert it to seconds just multiply it by 3600 s/h
time = 5×10⁻³ h * 3600 s/h the unit h is cancelled and the unit seconds remain
time = 18 seconds
time = Length of train / speed of train
time = 0.20 km / 40 km/h
time = (0.20 / 40) h
time = 5×10⁻³ h and to convert it to seconds just multiply it by 3600 s/h
time = 5×10⁻³ h * 3600 s/h the unit h is cancelled and the unit seconds remain
time = 18 seconds
A solid cube of 3 cm side, painted on all its faces, is cut up into small cubes of 1 cm side. How many of the small cubes will have exactly two painted faces?- a)12
- b)8
- c)6
- d)4
Correct answer is option 'D'. Can you explain this answer?
A solid cube of 3 cm side, painted on all its faces, is cut up into small cubes of 1 cm side. How many of the small cubes will have exactly two painted faces?
a)
12
b)
8
c)
6
d)
4
|
|
Amit Kumar answered |
If you cut the cube into 1 cm cubes, each side will have nine squares. Every corner will have 3 painted faces and every middle piece 1 painted face. That means each edge will have one piece with two painted faces. On a cube there are 12 edges, thus there will be 12 small cubes with 2 painted faces on it.
The figure drawn below gives the velocity graphs of two vehicles A and B. The straight line OKP represents the velocity of vehicle A at any instant, whereas the horizontal straight line CKD represents the velocity of vehicle B at any instant. In the figure, D is the point where perpendicular from P meets the horizontal line CKD such that PD =1/2LD:
Q. What is the ratio between the distances covered by vehicles A and B in the time interval OL?- a)1:2
- b)2:3
- c)3:4
- d)1:1
Correct answer is option 'C'. Can you explain this answer?
The figure drawn below gives the velocity graphs of two vehicles A and B. The straight line OKP represents the velocity of vehicle A at any instant, whereas the horizontal straight line CKD represents the velocity of vehicle B at any instant. In the figure, D is the point where perpendicular from P meets the horizontal line CKD such that PD =1/2LD:
Q. What is the ratio between the distances covered by vehicles A and B in the time interval OL?
Q. What is the ratio between the distances covered by vehicles A and B in the time interval OL?
a)
1:2
b)
2:3
c)
3:4
d)
1:1
|
T.S Academy answered |
C is the correct option.
Distance = Velocity × Time
So, the area under velocity-time graph gives the distance. In the time interval OL,
Distance covered by vehicle B = area of rectangle COLD = OL × LD
Distance covered by vehicle A = area of triangle POL = ½ OL × PL
= ½ OL × (PD + LD)
= ½ OL × (½LD + LD)
= 3/4 OL × LD
Distance = Velocity × Time
So, the area under velocity-time graph gives the distance. In the time interval OL,
Distance covered by vehicle B = area of rectangle COLD = OL × LD
Distance covered by vehicle A = area of triangle POL = ½ OL × PL
= ½ OL × (PD + LD)
= ½ OL × (½LD + LD)
= 3/4 OL × LD
A person bought a refrigerator worth Rs.22,800 with 12.5% interest compounded yearly. At the end of first year he paid Rs.8,650 and at the end of second year Rs. 9,125. How much will he have to pay at the end of third year to clear the debt?- a)Rs. 9,990
- b)Rs. 10 ,000
- c)Rs. 10,590
- d)Rs.11,250
Correct answer is option 'D'. Can you explain this answer?
A person bought a refrigerator worth Rs.22,800 with 12.5% interest compounded yearly. At the end of first year he paid Rs.8,650 and at the end of second year Rs. 9,125. How much will he have to pay at the end of third year to clear the debt?
a)
Rs. 9,990
b)
Rs. 10 ,000
c)
Rs. 10,590
d)
Rs.11,250
|
|
Priya Menon answered |
The correct answer is D as Refrigerator amount = Rs 22800
Given
Interest rate = 12.5%
Thereafter first year interest will be Rs 2850
Now we have to calculate Principal
= 22800 + 2850 - 8650
= Rs 17000
Thereafter interest of second year
= 12.5 percent of 17000
= Rs 2125
Now again we have
Principal :-
= 17000 + 2125 - 9125
= Rs 10000
Thereafter interest third year
= 12.5 percent of 10000
= Rs 1250
Pay at the end of 3rd year to clear the debt
= 10000 + 1250
= Rs 11250
Given
Interest rate = 12.5%
Thereafter first year interest will be Rs 2850
Now we have to calculate Principal
= 22800 + 2850 - 8650
= Rs 17000
Thereafter interest of second year
= 12.5 percent of 17000
= Rs 2125
Now again we have
Principal :-
= 17000 + 2125 - 9125
= Rs 10000
Thereafter interest third year
= 12.5 percent of 10000
= Rs 1250
Pay at the end of 3rd year to clear the debt
= 10000 + 1250
= Rs 11250
If X is between -3 and -1, and Y is between - 1 and 1, then X2 - Y2 is in between which of the following?
- a)-9 and 1
- b)-9 and -1
- c)0 and 9
- d)0 and 8
Correct answer is option 'D'. Can you explain this answer?
If X is between -3 and -1, and Y is between - 1 and 1, then X2 - Y2 is in between which of the following?
a)
-9 and 1
b)
-9 and -1
c)
0 and 9
d)
0 and 8
|
Ashutosh Saha answered |
Solution:
Given,
-3 < x=""><>
-1 < y=""><>
We have to find the range of X^2 - Y^2
Now,
X^2 - Y^2 = (X + Y)(X - Y)
As -3 < x="">< -1="" and="" -1="">< y=""><>
-4 < x="" +="" y=""><>
-2 < x="" -="" y=""><>
We know that (X + Y)(X - Y) lies between (X + Y)min * (X - Y)min and (X + Y)max * (X - Y)max
So,
(X + Y)min * (X - Y)min = -4 * (-2) = 8
(X + Y)max * (X - Y)max = 0 * 2 = 0
Therefore, the range of X^2 - Y^2 lies between 0 and 8.
Hence, the correct option is (D) 0 and 8.
Given,
-3 < x=""><>
-1 < y=""><>
We have to find the range of X^2 - Y^2
Now,
X^2 - Y^2 = (X + Y)(X - Y)
As -3 < x="">< -1="" and="" -1="">< y=""><>
-4 < x="" +="" y=""><>
-2 < x="" -="" y=""><>
We know that (X + Y)(X - Y) lies between (X + Y)min * (X - Y)min and (X + Y)max * (X - Y)max
So,
(X + Y)min * (X - Y)min = -4 * (-2) = 8
(X + Y)max * (X - Y)max = 0 * 2 = 0
Therefore, the range of X^2 - Y^2 lies between 0 and 8.
Hence, the correct option is (D) 0 and 8.
A, B, C and D are students. They are studying in four different cities, viz., P, Q, R and .f not necessarily in that order). They are studying in Science college, Arts college, Commerce college and Engineering college (not necessarily in that order), which are situated in four different States, viz., Gujarat, Rajasthan,Assam and Kerala (not necessarily in that order). Further, it is given that
i. D is studying in Assam
ii. Arts college is located in city S which is in Rajasthan
iii. A is studying in Commerce college
iv. B is studying in city Q v. Science college is located in Kerala.
Q. A is studying in- a)Rajasthan
- b)Gujarat
- c)City Q
- d)Kerala
Correct answer is option 'B'. Can you explain this answer?
A, B, C and D are students. They are studying in four different cities, viz., P, Q, R and .f not necessarily in that order). They are studying in Science college, Arts college, Commerce college and Engineering college (not necessarily in that order), which are situated in four different States, viz., Gujarat, Rajasthan,Assam and Kerala (not necessarily in that order). Further, it is given that
i. D is studying in Assam
ii. Arts college is located in city S which is in Rajasthan
iii. A is studying in Commerce college
iv. B is studying in city Q v. Science college is located in Kerala.
Q. A is studying in
i. D is studying in Assam
ii. Arts college is located in city S which is in Rajasthan
iii. A is studying in Commerce college
iv. B is studying in city Q v. Science college is located in Kerala.
Q. A is studying in
a)
Rajasthan
b)
Gujarat
c)
City Q
d)
Kerala
|
Upasana Menon answered |
Given Information:
- There are four students: A, B, C, and D.
- They are studying in four different cities: P, Q, R, and S.
- They are studying in four different colleges: Science, Arts, Commerce, and Engineering.
- The colleges are located in four different states: Gujarat, Rajasthan, Assam, and Kerala.
- D is studying in Assam.
- Arts college is located in city S which is in Rajasthan.
- A is studying in Commerce college.
- B is studying in city Q.
- Science college is located in Kerala.
To find: In which state is A studying?
Solution:
From the given information, we can create a table to represent the relationships between the students, cities, colleges, and states:
| Student | City | College | State |
|---------|------|----------|-----------|
| A | | Commerce | |
| B | Q | | |
| C | | | |
| D | | | Assam |
- D is studying in Assam. Therefore, the state where D is studying is Assam.
- Arts college is located in city S which is in Rajasthan. Therefore, the city where Arts college is located is S, which is in Rajasthan.
- B is studying in city Q. Therefore, B is not studying in Rajasthan or Assam because there is no college in Rajasthan or Assam that is located in city Q. B is studying in either Gujarat or Kerala.
- Science college is located in Kerala. Therefore, the state where Science college is located is Kerala.
- A is studying in Commerce college. Therefore, A is not studying in Assam or Kerala because there is no Commerce college in Assam or Kerala. A is studying in either Gujarat or Rajasthan.
- We know that A is not studying in Rajasthan because Arts college is already located in Rajasthan. Therefore, A is studying in Gujarat.
Therefore, the answer is option B (Gujarat).
- There are four students: A, B, C, and D.
- They are studying in four different cities: P, Q, R, and S.
- They are studying in four different colleges: Science, Arts, Commerce, and Engineering.
- The colleges are located in four different states: Gujarat, Rajasthan, Assam, and Kerala.
- D is studying in Assam.
- Arts college is located in city S which is in Rajasthan.
- A is studying in Commerce college.
- B is studying in city Q.
- Science college is located in Kerala.
To find: In which state is A studying?
Solution:
From the given information, we can create a table to represent the relationships between the students, cities, colleges, and states:
| Student | City | College | State |
|---------|------|----------|-----------|
| A | | Commerce | |
| B | Q | | |
| C | | | |
| D | | | Assam |
- D is studying in Assam. Therefore, the state where D is studying is Assam.
- Arts college is located in city S which is in Rajasthan. Therefore, the city where Arts college is located is S, which is in Rajasthan.
- B is studying in city Q. Therefore, B is not studying in Rajasthan or Assam because there is no college in Rajasthan or Assam that is located in city Q. B is studying in either Gujarat or Kerala.
- Science college is located in Kerala. Therefore, the state where Science college is located is Kerala.
- A is studying in Commerce college. Therefore, A is not studying in Assam or Kerala because there is no Commerce college in Assam or Kerala. A is studying in either Gujarat or Rajasthan.
- We know that A is not studying in Rajasthan because Arts college is already located in Rajasthan. Therefore, A is studying in Gujarat.
Therefore, the answer is option B (Gujarat).
If RAMON is written as 12345 and DINESH as 675849, then HAMAM will be written as- a)92233
- b)92323
- c)93322
- d)93232
Correct answer is option 'B'. Can you explain this answer?
If RAMON is written as 12345 and DINESH as 675849, then HAMAM will be written as
a)
92233
b)
92323
c)
93322
d)
93232
|
|
Pooja Shah answered |
B is the correct option. The code is to be written as-
H- 9
A- 2
M- 3
A- 2
M- 3
H- 9
A- 2
M- 3
A- 2
M- 3
A shopkeeper sells an article at Rs. 40 and gets X% profit. However, when he sells it at Rs. 20, he faces same percentage of loss. What is the original cost of the article?- a)Rs. 10
- b)Rs. 20
- c)Rs. 30
- d)Rs. 40
Correct answer is option 'C'. Can you explain this answer?
A shopkeeper sells an article at Rs. 40 and gets X% profit. However, when he sells it at Rs. 20, he faces same percentage of loss. What is the original cost of the article?
a)
Rs. 10
b)
Rs. 20
c)
Rs. 30
d)
Rs. 40
|
Amrita Saha answered |
Given, selling price at Rs. 40 and selling price at Rs. 20 are given.
Let the original cost price be x.
Profit when selling price is Rs. 40 is given as X%.
So, the selling price is calculated as:
40 = x + x*(X/100)
=> 40 = x*(1 + X/100)
=> x = 40*100/(100+X) ------- Equation 1
Loss when selling price is Rs. 20 is also X%.
So, the selling price is calculated as:
20 = x - x*(X/100)
=> 20 = x*(1 - X/100)
=> x = 20*100/(100-X) ------- Equation 2
Equating Equation 1 and Equation 2,
40*100/(100+X) = 20*100/(100-X)
=> 2 + X/5 = 5 - X/5
=> X/5 + X/5 = 3
=> X = 15
Therefore, the original cost price (x) is:
x = 40*100/(100+15)
=> x = 4000/115
=> x = 34.78
Hence, the original cost price of the article is Rs. 30 (approx).
Let the original cost price be x.
Profit when selling price is Rs. 40 is given as X%.
So, the selling price is calculated as:
40 = x + x*(X/100)
=> 40 = x*(1 + X/100)
=> x = 40*100/(100+X) ------- Equation 1
Loss when selling price is Rs. 20 is also X%.
So, the selling price is calculated as:
20 = x - x*(X/100)
=> 20 = x*(1 - X/100)
=> x = 20*100/(100-X) ------- Equation 2
Equating Equation 1 and Equation 2,
40*100/(100+X) = 20*100/(100-X)
=> 2 + X/5 = 5 - X/5
=> X/5 + X/5 = 3
=> X = 15
Therefore, the original cost price (x) is:
x = 40*100/(100+15)
=> x = 4000/115
=> x = 34.78
Hence, the original cost price of the article is Rs. 30 (approx).
If LSJXVC is the code for MUMBAI, the code for DELHI is- a)CCIDD
- b)CDKGH
- c)CCJFG
- d)CCIFE
Correct answer is option 'A'. Can you explain this answer?
If LSJXVC is the code for MUMBAI, the code for DELHI is
a)
CCIDD
b)
CDKGH
c)
CCJFG
d)
CCIFE
|
Rhea Kulkarni answered |
Given Code: LSJXVC
City: MUMBAI
To find the code for DELHI, we need to follow the pattern in the given code and identify the corresponding letters for each alphabet in DELHI.
Step-by-step solution:
- The code for DELHI will have 5 letters as in MUMBAI.
- The first letter in DELHI is D, which is not present in MUMBAI code.
- To get the code for D, we need to look for the common letters in both the words MUMBAI and DELHI.
- The common letters between MUMBAI and DELHI are I and M.
- I is present at the 4th and 6th positions in MUMBAI code.
- M is present at the 1st position in MUMBAI code.
- Hence, the code for D can be obtained by taking the positions of I and M in MUMBAI code and arranging them in the order of their occurrence in the word DELHI.
- So, the code for D is CC.
- Following the same pattern, we can find the codes for E, L, and H.
- The codes for E, L, and H can be obtained as IF, KG, and DD, respectively.
- Therefore, the code for DELHI is CCIDD, which is option A.
Hence, the correct answer is option A, CCIDD.
City: MUMBAI
To find the code for DELHI, we need to follow the pattern in the given code and identify the corresponding letters for each alphabet in DELHI.
Step-by-step solution:
- The code for DELHI will have 5 letters as in MUMBAI.
- The first letter in DELHI is D, which is not present in MUMBAI code.
- To get the code for D, we need to look for the common letters in both the words MUMBAI and DELHI.
- The common letters between MUMBAI and DELHI are I and M.
- I is present at the 4th and 6th positions in MUMBAI code.
- M is present at the 1st position in MUMBAI code.
- Hence, the code for D can be obtained by taking the positions of I and M in MUMBAI code and arranging them in the order of their occurrence in the word DELHI.
- So, the code for D is CC.
- Following the same pattern, we can find the codes for E, L, and H.
- The codes for E, L, and H can be obtained as IF, KG, and DD, respectively.
- Therefore, the code for DELHI is CCIDD, which is option A.
Hence, the correct answer is option A, CCIDD.
While writing all the numbers from 700 to 1000, how many numbers occur in which the digit at hundred’s place is greater than the digit at ten’s place, and the digit at ten’s place is greater than the digit at unit’s place?- a)61
- b)64
- c)85
- d)91
Correct answer is option 'C'. Can you explain this answer?
While writing all the numbers from 700 to 1000, how many numbers occur in which the digit at hundred’s place is greater than the digit at ten’s place, and the digit at ten’s place is greater than the digit at unit’s place?
a)
61
b)
64
c)
85
d)
91
|
Mohit Sengupta answered |
's place is greater than or equal to the digit at ten's place?
There are two possible cases for the digits at hundred's and ten's place: either the hundred's digit is greater than or equal to the ten's digit, or it is less than the ten's digit.
Case 1: Hundred's digit is greater than or equal to ten's digit
In this case, we can choose any digit from 7 to 9 for the hundred's place, and any digit from the hundred's digit to 9 for the ten's place. For example, if we choose 8 as the hundred's digit, we can choose any digit from 8 to 9 for the ten's digit. Therefore, there are 3 choices for the hundred's digit and for each choice, there are (10 - hundred's digit + 1) choices for the ten's digit. So, the total number of numbers in this case is:
3 × [(10 - 7 + 1) + (10 - 8 + 1) + (10 - 9 + 1)]
= 3 × (4 + 3 + 2)
= 27
Case 2: Hundred's digit is less than ten's digit
In this case, we can choose any digit from 7 to 8 for the hundred's place, and any digit from 0 to 9 for the ten's place, except for the digit chosen for the hundred's place. For example, if we choose 7 as the hundred's digit, we can choose any digit from 0 to 9 for the ten's digit, except for 7. Therefore, there are 2 choices for the hundred's digit, and for each choice, there are 9 choices for the ten's digit. So, the total number of numbers in this case is:
2 × 9
= 18
Therefore, the total number of numbers in which the hundred's digit is greater than or equal to the ten's digit is:
27 + 18
= 45
Therefore, there are 45 numbers in which the digit at hundred's place is greater than or equal to the digit at ten's place.
There are two possible cases for the digits at hundred's and ten's place: either the hundred's digit is greater than or equal to the ten's digit, or it is less than the ten's digit.
Case 1: Hundred's digit is greater than or equal to ten's digit
In this case, we can choose any digit from 7 to 9 for the hundred's place, and any digit from the hundred's digit to 9 for the ten's place. For example, if we choose 8 as the hundred's digit, we can choose any digit from 8 to 9 for the ten's digit. Therefore, there are 3 choices for the hundred's digit and for each choice, there are (10 - hundred's digit + 1) choices for the ten's digit. So, the total number of numbers in this case is:
3 × [(10 - 7 + 1) + (10 - 8 + 1) + (10 - 9 + 1)]
= 3 × (4 + 3 + 2)
= 27
Case 2: Hundred's digit is less than ten's digit
In this case, we can choose any digit from 7 to 8 for the hundred's place, and any digit from 0 to 9 for the ten's place, except for the digit chosen for the hundred's place. For example, if we choose 7 as the hundred's digit, we can choose any digit from 0 to 9 for the ten's digit, except for 7. Therefore, there are 2 choices for the hundred's digit, and for each choice, there are 9 choices for the ten's digit. So, the total number of numbers in this case is:
2 × 9
= 18
Therefore, the total number of numbers in which the hundred's digit is greater than or equal to the ten's digit is:
27 + 18
= 45
Therefore, there are 45 numbers in which the digit at hundred's place is greater than or equal to the digit at ten's place.
A bookseller sold ‘a’ number of Geography textbooks at the rate of ` x per book, ‘a + 2’ number of History textbooks at the rate of ` (x + 2) per book and ‘a - 2’ number of Mathematics textbooks at the rate of ` (x - 2) per book. What is his total sale in `?- a)3x + 3a
- b)3ax + 8
- c)9ax
- d)x3a3
Correct answer is option 'B'. Can you explain this answer?
A bookseller sold ‘a’ number of Geography textbooks at the rate of ` x per book, ‘a + 2’ number of History textbooks at the rate of ` (x + 2) per book and ‘a - 2’ number of Mathematics textbooks at the rate of ` (x - 2) per book. What is his total sale in `?
a)
3x + 3a
b)
3ax + 8
c)
9ax
d)
x3a3
|
Mahi Khanna answered |
250 books in the first week of the month, 300 books in the second week, and 400 books in the third week. What is the total number of books sold in the three weeks?
The total number of books sold in the three weeks is:
250 + 300 + 400 = 950
Therefore, the bookseller sold 950 books in the three weeks.
The total number of books sold in the three weeks is:
250 + 300 + 400 = 950
Therefore, the bookseller sold 950 books in the three weeks.
A number consists of three digits of which the middle one is zero and their sum is 4. If the number formed by interchanging the first and last digits is greater than the number itself by 198, the difference between the first and last digits is- a)1
- b)2
- c)3
- d)4
Correct answer is option 'B'. Can you explain this answer?
A number consists of three digits of which the middle one is zero and their sum is 4. If the number formed by interchanging the first and last digits is greater than the number itself by 198, the difference between the first and last digits is
a)
1
b)
2
c)
3
d)
4
|
|
Varun Kapoor answered |
Let the hundreds digit be x, the tens digit be 0, and the ones digit be y.
The original number is 100x + 10y, and the number formed by interchanging the first and last digits is 100y + 10x.
The given information can be written as:
100y + 10x - (100x + 10y) = 198
90(y - x) = 198
y - x = 2
The difference between the first and last digits is 2.
Consider the following graph in which the birthrate and death rate of a country are given, and answer the two items that follow.
Looking at the graph, it can be inferred that from 1990 to 2010- a)population growth rate has increased
- b)population growth rate has decreased
- c)growth rate of population has remained stable
- d)population growth rate shows no trend
Correct answer is option 'B'. Can you explain this answer?
Consider the following graph in which the birthrate and death rate of a country are given, and answer the two items that follow.
Looking at the graph, it can be inferred that from 1990 to 2010
Looking at the graph, it can be inferred that from 1990 to 2010
a)
population growth rate has increased
b)
population growth rate has decreased
c)
growth rate of population has remained stable
d)
population growth rate shows no trend
|
|
Vigith Viswam answered |
Population growth rate is difference between birth rate and death rate, i.e, population growth rate = birth rate - death rate.
A bag contains 15 red balls and 20 black balls. Each ball is numbered either 1 or 2 or 3. 20% of the red balls are numbered 1 and 40% of them are numbered 3. Similarly, among the black balls, 45% are numbered 2 and 30% are numbered 3. A boy picks a ball at random. He wins if the ball is red and numbered 3 or if it is black and numbered 1 or 2. What are the chances of his winning?- a)½
- b)4/7
- c)5/9
- d)12/13
Correct answer is option 'B'. Can you explain this answer?
A bag contains 15 red balls and 20 black balls. Each ball is numbered either 1 or 2 or 3. 20% of the red balls are numbered 1 and 40% of them are numbered 3. Similarly, among the black balls, 45% are numbered 2 and 30% are numbered 3. A boy picks a ball at random. He wins if the ball is red and numbered 3 or if it is black and numbered 1 or 2. What are the chances of his winning?
a)
½
b)
4/7
c)
5/9
d)
12/13
|
Pranavi Nair answered |
First, we need to find the probability of picking a red ball numbered 3.
The probability of picking a red ball numbered 3 is 0.4 * 15/35 (since there are 15 red balls and a total of 35 balls).
This simplifies to 0.1714.
Next, we need to find the probability of picking a black ball numbered 1 or 2.
The probability of picking a black ball numbered 1 or 2 is (0.45 + 0.45) * 20/35 (since there are 20 black balls and a total of 35 balls).
This simplifies to 0.5143.
Finally, we need to find the overall probability of winning.
The overall probability of winning is the sum of the probability of picking a red ball numbered 3 and the probability of picking a black ball numbered 1 or 2.
So, the overall probability of winning is 0.1714 + 0.5143 = 0.6857.
Therefore, the chances of winning are 68.57%.
The probability of picking a red ball numbered 3 is 0.4 * 15/35 (since there are 15 red balls and a total of 35 balls).
This simplifies to 0.1714.
Next, we need to find the probability of picking a black ball numbered 1 or 2.
The probability of picking a black ball numbered 1 or 2 is (0.45 + 0.45) * 20/35 (since there are 20 black balls and a total of 35 balls).
This simplifies to 0.5143.
Finally, we need to find the overall probability of winning.
The overall probability of winning is the sum of the probability of picking a red ball numbered 3 and the probability of picking a black ball numbered 1 or 2.
So, the overall probability of winning is 0.1714 + 0.5143 = 0.6857.
Therefore, the chances of winning are 68.57%.
How many diagonals can be drawn by joining the vertices of an octagon?- a)20
- b)24
- c)28
- d)64
Correct answer is option 'A'. Can you explain this answer?
How many diagonals can be drawn by joining the vertices of an octagon?
a)
20
b)
24
c)
28
d)
64
|
|
Jatin Nair answered |
The correct option is A.
an octagon has 8(8−3)/2 = 8×5/2 = 20 diagonals
an octagon has 8(8−3)/2 = 8×5/2 = 20 diagonals
Read the following two passages and answer the items that follow. Your answers to these items should be based on the passages only.
Passage—I
The quest for cheap and plentiful meat has resulted in factory farms where more and more animals are squeezed into smaller lots in cruel and shocking conditions. Such practices have resulted in many of the world’s health pandemics such as the avian flu. Worldwide, livestock are increasingly raised in cruel, cramped conditions, where animals spend their short lives under artificial light, pumped full of antibiotics and growth hormones, until the day they are slaughtered. Meat production is waterintensive. 15000 litres of water is needed for every kilogram of meat compared with 3400 litres for rice, 3300 litres for eggs and 255 litres for a kilogram of potatoes.
Q. What is the most rational and crucial message given by the passage?- a)Mass production of meat through industrial farming is cheap and is suitable for providing protein nutrition to poor countries.
- b)Meat-producing industry violates the laws against cruelty to animals.
- c)Mass production of meat through industrial farming is undesirable and should be stopped immediately.
- d)Environmental cost of meat production is unsustainable when it is produced through industrial farming.
Correct answer is option 'D'. Can you explain this answer?
Read the following two passages and answer the items that follow. Your answers to these items should be based on the passages only.
Passage—I
The quest for cheap and plentiful meat has resulted in factory farms where more and more animals are squeezed into smaller lots in cruel and shocking conditions. Such practices have resulted in many of the world’s health pandemics such as the avian flu. Worldwide, livestock are increasingly raised in cruel, cramped conditions, where animals spend their short lives under artificial light, pumped full of antibiotics and growth hormones, until the day they are slaughtered. Meat production is waterintensive. 15000 litres of water is needed for every kilogram of meat compared with 3400 litres for rice, 3300 litres for eggs and 255 litres for a kilogram of potatoes.
Q. What is the most rational and crucial message given by the passage?
Passage—I
The quest for cheap and plentiful meat has resulted in factory farms where more and more animals are squeezed into smaller lots in cruel and shocking conditions. Such practices have resulted in many of the world’s health pandemics such as the avian flu. Worldwide, livestock are increasingly raised in cruel, cramped conditions, where animals spend their short lives under artificial light, pumped full of antibiotics and growth hormones, until the day they are slaughtered. Meat production is waterintensive. 15000 litres of water is needed for every kilogram of meat compared with 3400 litres for rice, 3300 litres for eggs and 255 litres for a kilogram of potatoes.
Q. What is the most rational and crucial message given by the passage?
a)
Mass production of meat through industrial farming is cheap and is suitable for providing protein nutrition to poor countries.
b)
Meat-producing industry violates the laws against cruelty to animals.
c)
Mass production of meat through industrial farming is undesirable and should be stopped immediately.
d)
Environmental cost of meat production is unsustainable when it is produced through industrial farming.
|
Test Ten answered |
Testing for android
A, B, C and D are students. They are studying in four different cities, viz., P, Q, R and .f not necessarily in that order). They are studying in Science college, Arts college, Commerce college and Engineering college (not necessarily in that order), which are situated in four different States, viz., Gujarat, Rajasthan,Assam and Kerala (not necessarily in that order). Further, it is given that
i. D is studying in Assam
ii. Arts college is located in city S which is in Rajasthan
iii. A is studying in Commerce college
iv. B is studying in city Q v. Science college is located in Kerala.
Q. Science college is located in- a)city S
- b)city Q
- c)city R
- d)city P
Correct answer is option 'B'. Can you explain this answer?
A, B, C and D are students. They are studying in four different cities, viz., P, Q, R and .f not necessarily in that order). They are studying in Science college, Arts college, Commerce college and Engineering college (not necessarily in that order), which are situated in four different States, viz., Gujarat, Rajasthan,Assam and Kerala (not necessarily in that order). Further, it is given that
i. D is studying in Assam
ii. Arts college is located in city S which is in Rajasthan
iii. A is studying in Commerce college
iv. B is studying in city Q v. Science college is located in Kerala.
Q. Science college is located in
i. D is studying in Assam
ii. Arts college is located in city S which is in Rajasthan
iii. A is studying in Commerce college
iv. B is studying in city Q v. Science college is located in Kerala.
Q. Science college is located in
a)
city S
b)
city Q
c)
city R
d)
city P
|
Abhiram Khanna answered |
Solution:
Given, A, B, C, and D are students studying in four different cities P, Q, R, and S, and in four different colleges Science, Arts, Commerce, and Engineering, situated in four different states Gujarat, Rajasthan, Assam, and Kerala.
i. D is studying in Assam.
ii. Arts college is located in city S which is in Rajasthan.
iii. A is studying in Commerce college.
iv. B is studying in city Q.
v. Science college is located in Kerala.
From the above-mentioned points, we can conclude that:
1. City Q has Commerce college and B is studying in city Q.
2. Arts college is located in Rajasthan and city S has Arts college.
3. D is studying in Assam.
4. Science college is located in Kerala.
5. The remaining city is P and the remaining college is Engineering.
Therefore, Science college is located in city Q, which is the only city left where Science college can be situated.
Hence, the correct answer is option 'B'.
Given, A, B, C, and D are students studying in four different cities P, Q, R, and S, and in four different colleges Science, Arts, Commerce, and Engineering, situated in four different states Gujarat, Rajasthan, Assam, and Kerala.
i. D is studying in Assam.
ii. Arts college is located in city S which is in Rajasthan.
iii. A is studying in Commerce college.
iv. B is studying in city Q.
v. Science college is located in Kerala.
From the above-mentioned points, we can conclude that:
1. City Q has Commerce college and B is studying in city Q.
2. Arts college is located in Rajasthan and city S has Arts college.
3. D is studying in Assam.
4. Science college is located in Kerala.
5. The remaining city is P and the remaining college is Engineering.
Therefore, Science college is located in city Q, which is the only city left where Science college can be situated.
Hence, the correct answer is option 'B'.
For a sports meet, a winners’ stand comprising three wooden blocks is in the following form There are six different colours available to choose from and each of the three wooden blocks is to be painted such that no two of them has the same colour. In how many different ways can the winners’ stand be painted?
- a)120
- b)81
- c)66
- d)36
Correct answer is option 'A'. Can you explain this answer?
For a sports meet, a winners’ stand comprising three wooden blocks is in the following form There are six different colours available to choose from and each of the three wooden blocks is to be painted such that no two of them has the same colour. In how many different ways can the winners’ stand be painted?
a)
120
b)
81
c)
66
d)
36
|
Azmeera Kittu answered |
6!/(6-3)!
Your answers to these items should be based on the passage only.
It is no longer enough for us to talk about providing for universal access to education. Making available schooling facilities is an essential prerequisite, but is insufficient to ensure that all children attend school and participate in the learning process. The school may be there, but children may not attend or they may drop out after a few months. Through school and social mapping, we must address the entire gamut of social, economic, cultural and indeed linguistic and pedagogic issues, factors that prevent children from weaker sections and disadvantaged groups, as also girls, from regularly attending and complementing elementary education. The focus must be on the poorest and most vulnerable since these groups are the most disempowered and at the greatest risk of violation or denial of their right to education. The right to education goes beyond free and compulsory education to include quality education for all. Quality is an integral part of the right to education. If the education process lacks quality, children are being denied their right. The Right of Children to Free and Compulsory Education Act lays down that the curriculum should provide for learning through activities, exploration and discovery. This places an obligation on us to change our perception of children as passive receivers of knowledge, and to move beyond the convention of using textbooks as the basis of examinations. The teaching learning process must become stress-free, and a massive programme for curricular reform should be initiated to provide for a child-friendly learning system, that is more relevant and empowering. Teacher accountability systems and processes must en sure that children are learning, and that their right to learn in a child-friendly environment is not violated. Testing and assessment systems must be reexamined and redesigned to ensure that these do not force children to struggle between school and tuition centres, and bypass childhood.
=> According to the passage, which of the following is/are of paramount importance under the Right to Education?
1. Sending of children to school by all parents
2. Provision of adequate physical infrastructure in schools
3. Curricular reforms for developing childfriendly learning system
Q. Select the correct answer using the code given below.- a)1 only
- b)1 and 2 only
- c)3 only
- d)None of the above
Correct answer is option 'C'. Can you explain this answer?
Your answers to these items should be based on the passage only.
It is no longer enough for us to talk about providing for universal access to education. Making available schooling facilities is an essential prerequisite, but is insufficient to ensure that all children attend school and participate in the learning process. The school may be there, but children may not attend or they may drop out after a few months. Through school and social mapping, we must address the entire gamut of social, economic, cultural and indeed linguistic and pedagogic issues, factors that prevent children from weaker sections and disadvantaged groups, as also girls, from regularly attending and complementing elementary education. The focus must be on the poorest and most vulnerable since these groups are the most disempowered and at the greatest risk of violation or denial of their right to education. The right to education goes beyond free and compulsory education to include quality education for all. Quality is an integral part of the right to education. If the education process lacks quality, children are being denied their right. The Right of Children to Free and Compulsory Education Act lays down that the curriculum should provide for learning through activities, exploration and discovery. This places an obligation on us to change our perception of children as passive receivers of knowledge, and to move beyond the convention of using textbooks as the basis of examinations. The teaching learning process must become stress-free, and a massive programme for curricular reform should be initiated to provide for a child-friendly learning system, that is more relevant and empowering. Teacher accountability systems and processes must en sure that children are learning, and that their right to learn in a child-friendly environment is not violated. Testing and assessment systems must be reexamined and redesigned to ensure that these do not force children to struggle between school and tuition centres, and bypass childhood.
=> According to the passage, which of the following is/are of paramount importance under the Right to Education?
1. Sending of children to school by all parents
2. Provision of adequate physical infrastructure in schools
3. Curricular reforms for developing childfriendly learning system
Q. Select the correct answer using the code given below.
It is no longer enough for us to talk about providing for universal access to education. Making available schooling facilities is an essential prerequisite, but is insufficient to ensure that all children attend school and participate in the learning process. The school may be there, but children may not attend or they may drop out after a few months. Through school and social mapping, we must address the entire gamut of social, economic, cultural and indeed linguistic and pedagogic issues, factors that prevent children from weaker sections and disadvantaged groups, as also girls, from regularly attending and complementing elementary education. The focus must be on the poorest and most vulnerable since these groups are the most disempowered and at the greatest risk of violation or denial of their right to education. The right to education goes beyond free and compulsory education to include quality education for all. Quality is an integral part of the right to education. If the education process lacks quality, children are being denied their right. The Right of Children to Free and Compulsory Education Act lays down that the curriculum should provide for learning through activities, exploration and discovery. This places an obligation on us to change our perception of children as passive receivers of knowledge, and to move beyond the convention of using textbooks as the basis of examinations. The teaching learning process must become stress-free, and a massive programme for curricular reform should be initiated to provide for a child-friendly learning system, that is more relevant and empowering. Teacher accountability systems and processes must en sure that children are learning, and that their right to learn in a child-friendly environment is not violated. Testing and assessment systems must be reexamined and redesigned to ensure that these do not force children to struggle between school and tuition centres, and bypass childhood.
=> According to the passage, which of the following is/are of paramount importance under the Right to Education?
1. Sending of children to school by all parents
2. Provision of adequate physical infrastructure in schools
3. Curricular reforms for developing childfriendly learning system
Q. Select the correct answer using the code given below.
a)
1 only
b)
1 and 2 only
c)
3 only
d)
None of the above
|
Kavya Dey answered |
C is the correct option.Right to Education is of paramount importance- Curricular reforms for developing childfriendly learning system.The process of making changes to the curriculum with the intent of making learning and teaching more meaningful and effective.
Lakshmi, her brother, her daughter and her son are badminton players. A game of doubles is about to begin :
i. Lakshmi’s brother is directly across the net from her daughter.
ii. Her son is diagonally across the net from the worst player’s sibling.
iii. The best player and the worst player are on the same side of the net.
Q. Who is the best player?- a)Her brother
- b)Her daughter
- c)Her son
- d)Lakshmi
Correct answer is option 'A'. Can you explain this answer?
Lakshmi, her brother, her daughter and her son are badminton players. A game of doubles is about to begin :
i. Lakshmi’s brother is directly across the net from her daughter.
ii. Her son is diagonally across the net from the worst player’s sibling.
iii. The best player and the worst player are on the same side of the net.
Q. Who is the best player?
i. Lakshmi’s brother is directly across the net from her daughter.
ii. Her son is diagonally across the net from the worst player’s sibling.
iii. The best player and the worst player are on the same side of the net.
Q. Who is the best player?
a)
Her brother
b)
Her daughter
c)
Her son
d)
Lakshmi
|
|
Sanjana Sen answered |
And her daughter will be playing on one team.
ii. Lakshmi's brother and her son will be playing on the other team.
iii. Lakshmi and her brother are both experienced players and will be the captains of their respective teams.
The game of doubles will be played with each team consisting of two players. Lakshmi and her daughter will have to work together to defeat Lakshmi's brother and her son. As both Lakshmi and her brother are experienced players, the game is likely to be a tough one. However, it will also be a fun and exciting game, with each player showcasing their skills on the court. Ultimately, the team that works best together and makes the least number of errors will emerge as the winner.
ii. Lakshmi's brother and her son will be playing on the other team.
iii. Lakshmi and her brother are both experienced players and will be the captains of their respective teams.
The game of doubles will be played with each team consisting of two players. Lakshmi and her daughter will have to work together to defeat Lakshmi's brother and her son. As both Lakshmi and her brother are experienced players, the game is likely to be a tough one. However, it will also be a fun and exciting game, with each player showcasing their skills on the court. Ultimately, the team that works best together and makes the least number of errors will emerge as the winner.
Your answers to these Items should be based on the passages only.
All actions to address climate change ultimately involve costs. Funding is vital in order for countries like India to design and implement adaptation and mitigation plans and projects. The problem is more severe for developing countries like India, which would be one of the hardest hit by climate change, given its need to finance development. Most countries do indeed treat climate change as real threat and are striving to address it in a more comprehensive 4 integrated manner with the limited resources at their disposal.
=> With reference to the above passage, the following assumptions have been made:
1. Climate change is not a challenge for developed countries.
2. Climate change is a complex policy issue and also a development issue for many countries. Ways and means of finance must be found to enable developing countries to enhance their adaptive capacity.
Q. Which of the above assumptions is/ are valid?- a)1 and 2 only
- b)3 only
- c)2 and 3 only
- d)1, 2 and 3
Correct answer is option 'C'. Can you explain this answer?
Your answers to these Items should be based on the passages only.
All actions to address climate change ultimately involve costs. Funding is vital in order for countries like India to design and implement adaptation and mitigation plans and projects. The problem is more severe for developing countries like India, which would be one of the hardest hit by climate change, given its need to finance development. Most countries do indeed treat climate change as real threat and are striving to address it in a more comprehensive 4 integrated manner with the limited resources at their disposal.
=> With reference to the above passage, the following assumptions have been made:
1. Climate change is not a challenge for developed countries.
2. Climate change is a complex policy issue and also a development issue for many countries. Ways and means of finance must be found to enable developing countries to enhance their adaptive capacity.
Q. Which of the above assumptions is/ are valid?
All actions to address climate change ultimately involve costs. Funding is vital in order for countries like India to design and implement adaptation and mitigation plans and projects. The problem is more severe for developing countries like India, which would be one of the hardest hit by climate change, given its need to finance development. Most countries do indeed treat climate change as real threat and are striving to address it in a more comprehensive 4 integrated manner with the limited resources at their disposal.
=> With reference to the above passage, the following assumptions have been made:
1. Climate change is not a challenge for developed countries.
2. Climate change is a complex policy issue and also a development issue for many countries. Ways and means of finance must be found to enable developing countries to enhance their adaptive capacity.
Q. Which of the above assumptions is/ are valid?
a)
1 and 2 only
b)
3 only
c)
2 and 3 only
d)
1, 2 and 3
|
|
Mohit Sengupta answered |
The passage clearly mentions that 'most countries' are 'striving' to address climate change threat. So, it is a complex policy issue an development issue for all. So, 1 is not valid but 2 is.
Assumptions 3 can be made from, 'the problem is more severe... finance development. So, the right option is (c).
Assumptions 3 can be made from, 'the problem is more severe... finance development. So, the right option is (c).
Consider the following three - dimensional figure:
Q. How many triangles does the above figure have?- a)18
- b)20
- c)22
- d)24
Correct answer is option 'B'. Can you explain this answer?
Consider the following three - dimensional figure:
Q. How many triangles does the above figure have?
Q. How many triangles does the above figure have?
a)
18
b)
20
c)
22
d)
24
|
|
Pooja Shah answered |
20 by counting the triangles with bold lines and doubling it.
A, B, C and D are students. They are studying in four different cities, viz., P, Q, R and .f not necessarily in that order). They are studying in Science college, Arts college, Commerce college and Engineering college (not necessarily in that order), which are situated in four different States, viz., Gujarat, Rajasthan,Assam and Kerala (not necessarily in that order). Further, it is given that
i. D is studying in Assam
ii. Arts college is located in city S which is in Rajasthan
iii. A is studying in Commerce college
iv. B is studying in city Q v. Science college is located in Kerala.
Q. Which one of the following statements is correct?- a)D is not studying in city S.
- b)A is studying in Science college.
- c)A is studying in Kerala.
- d)Engineering college is located in Gujarat.
Correct answer is option 'A'. Can you explain this answer?
A, B, C and D are students. They are studying in four different cities, viz., P, Q, R and .f not necessarily in that order). They are studying in Science college, Arts college, Commerce college and Engineering college (not necessarily in that order), which are situated in four different States, viz., Gujarat, Rajasthan,Assam and Kerala (not necessarily in that order). Further, it is given that
i. D is studying in Assam
ii. Arts college is located in city S which is in Rajasthan
iii. A is studying in Commerce college
iv. B is studying in city Q v. Science college is located in Kerala.
Q. Which one of the following statements is correct?
i. D is studying in Assam
ii. Arts college is located in city S which is in Rajasthan
iii. A is studying in Commerce college
iv. B is studying in city Q v. Science college is located in Kerala.
Q. Which one of the following statements is correct?
a)
D is not studying in city S.
b)
A is studying in Science college.
c)
A is studying in Kerala.
d)
Engineering college is located in Gujarat.
|
|
Maheshwar Jain answered |
Explanation:
Given Information:
- D is studying in Assam
- Arts college is located in city S which is in Rajasthan
- A is studying in Commerce college
- B is studying in city Q
- Science college is located in Kerala
Analysis:
- Since D is studying in Assam, it means D is in Assam and not in city S in Rajasthan.
- Since Arts college is in city S in Rajasthan, D cannot be studying in city S. Hence, option A is correct.
Given Information:
- D is studying in Assam
- Arts college is located in city S which is in Rajasthan
- A is studying in Commerce college
- B is studying in city Q
- Science college is located in Kerala
Analysis:
- Since D is studying in Assam, it means D is in Assam and not in city S in Rajasthan.
- Since Arts college is in city S in Rajasthan, D cannot be studying in city S. Hence, option A is correct.
Twelve equal squares are placed to fit in at rectangle of diagonal 5 cm. There are three rows containing four squares each. No gaps are left between adjacent squares. What is the area of each square?- a)5/7 sq cm
- b)7/5 sq cm 5
- c)1 sq cm
- d)25/12 sq cm
Correct answer is option 'C'. Can you explain this answer?
Twelve equal squares are placed to fit in at rectangle of diagonal 5 cm. There are three rows containing four squares each. No gaps are left between adjacent squares. What is the area of each square?
a)
5/7 sq cm
b)
7/5 sq cm 5
c)
1 sq cm
d)
25/12 sq cm
|
|
Sagar Chavan answered |
Given:
- A rectangle of diagonal 5 cm
- 12 equal squares arranged in 3 rows of 4 each
- No gaps between adjacent squares
To Find: Area of each square
Solution:
- Let's assume the side of each square be "x"
- Let the length and width of the rectangle be "l" and "w" respectively
- We know that the diagonal of a rectangle is given by the Pythagorean theorem as: diagonal^2 = length^2 + width^2
- Substituting the given values, we get: 5^2 = l^2 + w^2
- Simplifying, we get: l^2 + w^2 = 25
- Since there are 12 squares arranged in 3 rows of 4 each, we get:
- 3x = w (width of the rectangle is equal to 3 times the side of each square)
- 4x = l (length of the rectangle is equal to 4 times the side of each square)
- Substituting the above values in the equation l^2 + w^2 = 25, we get:
- (4x)^2 + (3x)^2 = 25
- Simplifying, we get: x^2 = 1
- Therefore, area of each square = side^2 = x^2 = 1 sq cm
Therefore, the correct answer is option C: 1 sq cm.
- A rectangle of diagonal 5 cm
- 12 equal squares arranged in 3 rows of 4 each
- No gaps between adjacent squares
To Find: Area of each square
Solution:
- Let's assume the side of each square be "x"
- Let the length and width of the rectangle be "l" and "w" respectively
- We know that the diagonal of a rectangle is given by the Pythagorean theorem as: diagonal^2 = length^2 + width^2
- Substituting the given values, we get: 5^2 = l^2 + w^2
- Simplifying, we get: l^2 + w^2 = 25
- Since there are 12 squares arranged in 3 rows of 4 each, we get:
- 3x = w (width of the rectangle is equal to 3 times the side of each square)
- 4x = l (length of the rectangle is equal to 4 times the side of each square)
- Substituting the above values in the equation l^2 + w^2 = 25, we get:
- (4x)^2 + (3x)^2 = 25
- Simplifying, we get: x^2 = 1
- Therefore, area of each square = side^2 = x^2 = 1 sq cm
Therefore, the correct answer is option C: 1 sq cm.
19 boys turn out for playing hockey. Of these, 11 are wearing hockey shirts and 14 are wearing hockey pants. There are no boys without shirts and/ or pants. What is the number of boys wearing full uniform?- a)3
- b)5
- c)6
- d)8
Correct answer is option 'C'. Can you explain this answer?
19 boys turn out for playing hockey. Of these, 11 are wearing hockey shirts and 14 are wearing hockey pants. There are no boys without shirts and/ or pants. What is the number of boys wearing full uniform?
a)
3
b)
5
c)
6
d)
8
|
|
Rajeev Datta answered |
C is the correct option.If that is the case, then let the number of boys turning in proper jerseys and proper shorts be “x”.
Eleven boys are wearing proper jerseys, but they may not be wearing proper shorts.
Therefore, the number of boys wearing only proper jerseys = 11-x.
Similarly, the number of boys wearing only proper shorts = 14 - x.
Total number of boys = Number of boys wearing only proper jerseys + number of boys wearing only proper shorts + number of boys wearing both proper jerseys and proper shorts.
Therefore, 19 = (11-x) + (14-x) + x
So, 19 = 25 - x
So, x = 6
Eleven boys are wearing proper jerseys, but they may not be wearing proper shorts.
Therefore, the number of boys wearing only proper jerseys = 11-x.
Similarly, the number of boys wearing only proper shorts = 14 - x.
Total number of boys = Number of boys wearing only proper jerseys + number of boys wearing only proper shorts + number of boys wearing both proper jerseys and proper shorts.
Therefore, 19 = (11-x) + (14-x) + x
So, 19 = 25 - x
So, x = 6
There are 24 equally spaced points lying on the circumference of a circle. What is the maximum number of equilateral triangles that can be drawn by taking sets of three points as the vertices?- a)4
- b)6
- c)8
- d)12
Correct answer is option 'C'. Can you explain this answer?
There are 24 equally spaced points lying on the circumference of a circle. What is the maximum number of equilateral triangles that can be drawn by taking sets of three points as the vertices?
a)
4
b)
6
c)
8
d)
12
|
Shreya Das answered |
Explanation:
To form an equilateral triangle, the three vertices must be equidistant from each other. For n points, the number of equilateral triangles that can be formed is given by the formula:
nC3 - 3n
where nC3 is the number of ways to choose 3 points from n points, and 3n is the number of equilateral triangles formed by taking each point as the center.
For 24 points, the number of equilateral triangles that can be formed is:
24C3 - 3*24 = 2024 - 72 = 1952
However, some of these triangles will be congruent, so we need to divide by the number of congruent triangles to get the maximum number of distinct equilateral triangles.
Each equilateral triangle can be uniquely identified by the position of its top vertex (i.e., the vertex opposite the base). There are 8 such positions, corresponding to the 8 equilateral triangles that can be formed using 3 adjacent points on the circle.
Therefore, the maximum number of distinct equilateral triangles that can be formed is:
1952/8 = 244
Answer: c) 8
To form an equilateral triangle, the three vertices must be equidistant from each other. For n points, the number of equilateral triangles that can be formed is given by the formula:
nC3 - 3n
where nC3 is the number of ways to choose 3 points from n points, and 3n is the number of equilateral triangles formed by taking each point as the center.
For 24 points, the number of equilateral triangles that can be formed is:
24C3 - 3*24 = 2024 - 72 = 1952
However, some of these triangles will be congruent, so we need to divide by the number of congruent triangles to get the maximum number of distinct equilateral triangles.
Each equilateral triangle can be uniquely identified by the position of its top vertex (i.e., the vertex opposite the base). There are 8 such positions, corresponding to the 8 equilateral triangles that can be formed using 3 adjacent points on the circle.
Therefore, the maximum number of distinct equilateral triangles that can be formed is:
1952/8 = 244
Answer: c) 8
Two persons, A and B are running on a circular track. At the start, B is ahead of A and their positions make an angle of 30° at the centre of the circle. When A reaches the point diametrically opposite to his starting point, he meets B. What is the ratio of speeds of A and B, if they are running with uniform speeds?- a)6 : 5
- b)4 : 3
- c)6 : 1
- d)4 : 2
Correct answer is option 'A'. Can you explain this answer?
Two persons, A and B are running on a circular track. At the start, B is ahead of A and their positions make an angle of 30° at the centre of the circle. When A reaches the point diametrically opposite to his starting point, he meets B. What is the ratio of speeds of A and B, if they are running with uniform speeds?
a)
6 : 5
b)
4 : 3
c)
6 : 1
d)
4 : 2
|
Akshara Menon answered |
Degrees at the center of the circle. If A runs at a faster pace than B, they will eventually meet at some point on the track. The question is – what is the angle at the center of the circle when they meet?
Let's assume that the length of the track is 1 unit. Then, the distance between A and B at the start is (1/12)π units, because the angle between their positions is 30 degrees out of 360 degrees, i.e. (30/360)π = (1/12)π radians.
Now, we know that A is faster than B, so A will cover more distance than B before they meet. Let's say A covers x units and B covers y units before they meet. Then, we have the following two equations:
x = y + (1/12)π (because A starts behind B)
x = 2π - y (because they meet after completing one full lap)
Solving for x and y, we get:
x = (23/24)π
y = (1/24)π
So, at the time they meet, A has covered (23/24)π units and B has covered (1/24)π units. Now, we can find the angle at the center of the circle using the following formula:
Angle = (Distance covered by A - Distance covered by B) / Radius
Since the radius of the circle is 1, we have:
Angle = (23/24)π - (1/24)π = (11/12)π
Therefore, the angle at the center of the circle when A and B meet is (11/12)π radians or approximately 285.6 degrees.
Let's assume that the length of the track is 1 unit. Then, the distance between A and B at the start is (1/12)π units, because the angle between their positions is 30 degrees out of 360 degrees, i.e. (30/360)π = (1/12)π radians.
Now, we know that A is faster than B, so A will cover more distance than B before they meet. Let's say A covers x units and B covers y units before they meet. Then, we have the following two equations:
x = y + (1/12)π (because A starts behind B)
x = 2π - y (because they meet after completing one full lap)
Solving for x and y, we get:
x = (23/24)π
y = (1/24)π
So, at the time they meet, A has covered (23/24)π units and B has covered (1/24)π units. Now, we can find the angle at the center of the circle using the following formula:
Angle = (Distance covered by A - Distance covered by B) / Radius
Since the radius of the circle is 1, we have:
Angle = (23/24)π - (1/24)π = (11/12)π
Therefore, the angle at the center of the circle when A and B meet is (11/12)π radians or approximately 285.6 degrees.
Passage-2
A diversity of natural assets will be needed to cope with climate change and ensure productive agriculture, forestry, and fisheries. For example, crop varieties are needed that perform well under drought, heat, and enhanced CO2. But the private sector and farmer-led process of choosing crops favours homogeneity adapted to past or current conditions, not varieties capable of producing consistently high yields in warmer, wetter, or drier conditions. Accelerated breeding programmes are needed to conserve a wider pool of genetic resources of existing crops, breeds, and their wild relatives. Relatively intact ecosystems, such as forested catchments, mangroves, wetlands, can buffer the impacts of climate change. Under a changing climate, these ecosystems are themselves at risk, and management approaches will need to be more proactive and adaptive. Connections between natural areas, such as migration corridors, may be needed to facilitate species movements to keep up with the change in climate.
=> With reference to the above passage, the following assumptions have been made:
1. Diversification of livelihoods acts as a coping strategy for climate change.
2. Adoption of monocropping practice leads to the extinction of plant varieties and their wild relatives.
Q. Which of the above assumptions is/are valid?- a)1 only
- b)2 only
- c)Both 1 and 2
- d)Neither 1 nor 2
Correct answer is option 'A'. Can you explain this answer?
Passage-2
A diversity of natural assets will be needed to cope with climate change and ensure productive agriculture, forestry, and fisheries. For example, crop varieties are needed that perform well under drought, heat, and enhanced CO2. But the private sector and farmer-led process of choosing crops favours homogeneity adapted to past or current conditions, not varieties capable of producing consistently high yields in warmer, wetter, or drier conditions. Accelerated breeding programmes are needed to conserve a wider pool of genetic resources of existing crops, breeds, and their wild relatives. Relatively intact ecosystems, such as forested catchments, mangroves, wetlands, can buffer the impacts of climate change. Under a changing climate, these ecosystems are themselves at risk, and management approaches will need to be more proactive and adaptive. Connections between natural areas, such as migration corridors, may be needed to facilitate species movements to keep up with the change in climate.
=> With reference to the above passage, the following assumptions have been made:
1. Diversification of livelihoods acts as a coping strategy for climate change.
2. Adoption of monocropping practice leads to the extinction of plant varieties and their wild relatives.
Q. Which of the above assumptions is/are valid?
A diversity of natural assets will be needed to cope with climate change and ensure productive agriculture, forestry, and fisheries. For example, crop varieties are needed that perform well under drought, heat, and enhanced CO2. But the private sector and farmer-led process of choosing crops favours homogeneity adapted to past or current conditions, not varieties capable of producing consistently high yields in warmer, wetter, or drier conditions. Accelerated breeding programmes are needed to conserve a wider pool of genetic resources of existing crops, breeds, and their wild relatives. Relatively intact ecosystems, such as forested catchments, mangroves, wetlands, can buffer the impacts of climate change. Under a changing climate, these ecosystems are themselves at risk, and management approaches will need to be more proactive and adaptive. Connections between natural areas, such as migration corridors, may be needed to facilitate species movements to keep up with the change in climate.
=> With reference to the above passage, the following assumptions have been made:
1. Diversification of livelihoods acts as a coping strategy for climate change.
2. Adoption of monocropping practice leads to the extinction of plant varieties and their wild relatives.
Q. Which of the above assumptions is/are valid?
a)
1 only
b)
2 only
c)
Both 1 and 2
d)
Neither 1 nor 2
|
|
Kabir Verma answered |
Statement 2 is not valid :Monocropping is the practice of growing the same crop on the same plot of land, year after year. This practice depletes the soil of nutrients (making the soil less productive over time), reduces organic matter in soil and can cause significant erosion.
Read the following information and answer the two items that follow.
The plan of an office block for six officers A, B, C, D, E and F is as follows : Both B and C occupy offices to the right of the corridor (as one enters the office block) and A occupies on the left of the corridor. E and F occupy offices on opposite sides of the corridor but - their offices do not face each other. The offices of C and D face each other. E does not have a corner office. Fs office is further down the corridor than A’s, but on the same side.Q. If E sits in his office and faces the corridor, whose office is to his left?- a)A
- b)B
- c)C
- d)D
Correct answer is option 'C'. Can you explain this answer?
Read the following information and answer the two items that follow.
The plan of an office block for six officers A, B, C, D, E and F is as follows : Both B and C occupy offices to the right of the corridor (as one enters the office block) and A occupies on the left of the corridor. E and F occupy offices on opposite sides of the corridor but - their offices do not face each other. The offices of C and D face each other. E does not have a corner office. Fs office is further down the corridor than A’s, but on the same side.
Q. If E sits in his office and faces the corridor, whose office is to his left?
a)
A
b)
B
c)
C
d)
D
|
|
Saranya Chauhan answered |
D A F
Entrance Corridor
C E B
If E faces the corridor, person to his left is C.
Passage-1 ‘Desertification’ is a term used to explain a process of decline in the biological productivity of an ecosystem, leading to total loss of productivity. While this phenomenon is often linked to the arid, semi-arid and sub-humid ecosystems, even in the humid tropics, the impact could be most dramatic. Impoverishment of human-impacted terrestrial ecosystems may exhibit itself in a variety of ways : accelerated erosion as in the mountain regions of the country, salinization of land as in the semi-arid and arid ‘green revolution’ areas of the country, e.g., Haryana and western Uttar Pradesh, and site quality decline—a common phenomenon due to general decline in tree cover and monotonous monoculture of rice/wheat across the Indian plains. A major consequence of deforestation is that it relates to adverse alterations in the hydrology and related soil and nutrient losses. The consequences of deforestation invariably arise out of site degradation through erosive losses. Tropical Asia, Africa and South America have the highest levels of erosion. The already high rates for the tropics are increasing at an alarming rate (e.g., through the major river systems— Ganga and Brahmaputra, in the context), due to deforestation and land management practices subsequent to forest clearing. In the mountain context, the declining moisture retention of the mountain soils, drying up of the ‘underground springs and smaller rivers in the Himalayan could be attributed to drastic changes the forest cover. An indirect consequence is drastic alteration in the uplandlowland interaction, mediated through water. The current concern the tea planter of Assam has is about the damage to tea plantations due to frequent inundation along the flood-plains of Brahmaputra, and the damage to tea plantation and the consequent loss in tea productivity is due to rising level of the river bottom because of siltation and the changing course of the river system. The ultimate consequences of site desertification are soil degradation, alteration in available water’ and its quality, and the consequent decline in food, fodder and fuelwood yields essential for the economic wellbeing of rural communities.
=> Which of the following is/are the nor inference/ inferences that can be made from the passage?
1. Deforestation can cause changes in the course of rivers.
2. Salinization of land takes place to human activities only.
3. Intense monoculture practice in plains is a major reason for desertification in Tropical Asia, Africa and South America.
Q. Select the correct answer using the cc given below.- a)1 only
- b)1 and 2 only
- c)2 and 3 only
- d)None of the above is a correct inference
Correct answer is option 'C'. Can you explain this answer?
Passage-1 ‘Desertification’ is a term used to explain a process of decline in the biological productivity of an ecosystem, leading to total loss of productivity. While this phenomenon is often linked to the arid, semi-arid and sub-humid ecosystems, even in the humid tropics, the impact could be most dramatic. Impoverishment of human-impacted terrestrial ecosystems may exhibit itself in a variety of ways : accelerated erosion as in the mountain regions of the country, salinization of land as in the semi-arid and arid ‘green revolution’ areas of the country, e.g., Haryana and western Uttar Pradesh, and site quality decline—a common phenomenon due to general decline in tree cover and monotonous monoculture of rice/wheat across the Indian plains. A major consequence of deforestation is that it relates to adverse alterations in the hydrology and related soil and nutrient losses. The consequences of deforestation invariably arise out of site degradation through erosive losses. Tropical Asia, Africa and South America have the highest levels of erosion. The already high rates for the tropics are increasing at an alarming rate (e.g., through the major river systems— Ganga and Brahmaputra, in the context), due to deforestation and land management practices subsequent to forest clearing. In the mountain context, the declining moisture retention of the mountain soils, drying up of the ‘underground springs and smaller rivers in the Himalayan could be attributed to drastic changes the forest cover. An indirect consequence is drastic alteration in the uplandlowland interaction, mediated through water. The current concern the tea planter of Assam has is about the damage to tea plantations due to frequent inundation along the flood-plains of Brahmaputra, and the damage to tea plantation and the consequent loss in tea productivity is due to rising level of the river bottom because of siltation and the changing course of the river system. The ultimate consequences of site desertification are soil degradation, alteration in available water’ and its quality, and the consequent decline in food, fodder and fuelwood yields essential for the economic wellbeing of rural communities.
=> Which of the following is/are the nor inference/ inferences that can be made from the passage?
1. Deforestation can cause changes in the course of rivers.
2. Salinization of land takes place to human activities only.
3. Intense monoculture practice in plains is a major reason for desertification in Tropical Asia, Africa and South America.
Q. Select the correct answer using the cc given below.
=> Which of the following is/are the nor inference/ inferences that can be made from the passage?
1. Deforestation can cause changes in the course of rivers.
2. Salinization of land takes place to human activities only.
3. Intense monoculture practice in plains is a major reason for desertification in Tropical Asia, Africa and South America.
Q. Select the correct answer using the cc given below.
a)
1 only
b)
1 and 2 only
c)
2 and 3 only
d)
None of the above is a correct inference
|
|
Moumita Choudhury answered |
Deforestation can cause changes in the course of rivers:
- The passage mentions that deforestation can lead to adverse alterations in the hydrology of an ecosystem, resulting in soil and nutrient losses.
- It also states that in the context of major river systems like the Ganga and Brahmaputra, deforestation and land management practices following forest clearing have led to increased erosion rates.
- The changing course of the river system and rising river levels due to siltation are highlighted as consequences of deforestation, affecting tea plantations along the floodplains of the Brahmaputra.
Salinization of land takes place due to human activities only:
- The passage does not explicitly state that salinization of land is solely due to human activities.
- It mentions salinization of land as a consequence of desertification in semi-arid and arid regions like Haryana and western Uttar Pradesh, but does not attribute it exclusively to human activities.
- Therefore, it cannot be inferred from the passage that salinization of land is caused only by human activities.
Intense monoculture practice in plains is a major reason for desertification in Tropical Asia, Africa, and South America:
- The passage discusses the phenomenon of site quality decline in human-impacted terrestrial ecosystems due to monoculture practices like the monotonous cultivation of rice and wheat across the Indian plains.
- It also mentions the consequences of deforestation leading to alterations in available water and soil degradation in tropical regions like Asia, Africa, and South America.
- Therefore, it can be inferred that intense monoculture practices in plains contribute to desertification in these regions.
Consider the following figures A and B The manufacturing cost and projected sales for a product are shown in the above figures A and B respectively.
Q. What is the minimum number of pieces that should be manufactured to avoid a loss?- a)2000
- b)2500
- c)3000
- d)3500
Correct answer is option 'A'. Can you explain this answer?
Consider the following figures A and B The manufacturing cost and projected sales for a product are shown in the above figures A and B respectively.
Q. What is the minimum number of pieces that should be manufactured to avoid a loss?
Q. What is the minimum number of pieces that should be manufactured to avoid a loss?
a)
2000
b)
2500
c)
3000
d)
3500
|
Indu Singh answered |
3000
Read the following information and answer the two items that follow.
The plan of an office block for six officers A, B, C, D, E and F is as follows : Both B and C occupy offices to the right of the corridor (as one enters the office block) and A occupies on the left of the corridor. E and F occupy offices on opposite sides of the corridor but - their offices do not face each other. The offices of C and D face each other. E does not have a corner office. Ps office is further down the corridor than A’s, but on the same side.
Q. Who is/are F’s immediate neighbour/ neighbours?- a)A only
- b)A and D
- c)C only
- d)B and C
Correct answer is option 'A'. Can you explain this answer?
Read the following information and answer the two items that follow.
The plan of an office block for six officers A, B, C, D, E and F is as follows : Both B and C occupy offices to the right of the corridor (as one enters the office block) and A occupies on the left of the corridor. E and F occupy offices on opposite sides of the corridor but - their offices do not face each other. The offices of C and D face each other. E does not have a corner office. Ps office is further down the corridor than A’s, but on the same side.
Q. Who is/are F’s immediate neighbour/ neighbours?
The plan of an office block for six officers A, B, C, D, E and F is as follows : Both B and C occupy offices to the right of the corridor (as one enters the office block) and A occupies on the left of the corridor. E and F occupy offices on opposite sides of the corridor but - their offices do not face each other. The offices of C and D face each other. E does not have a corner office. Ps office is further down the corridor than A’s, but on the same side.
Q. Who is/are F’s immediate neighbour/ neighbours?
a)
A only
b)
A and D
c)
C only
d)
B and C
|
Tanvi Basu answered |
1. Who has a corner office?
Answer: It is not specified who has a corner office.
2. Who has the office furthest down the corridor?
Answer: D is not mentioned in the given information so we cannot determine who has the office furthest down the corridor.
Answer: It is not specified who has a corner office.
2. Who has the office furthest down the corridor?
Answer: D is not mentioned in the given information so we cannot determine who has the office furthest down the corridor.
Rotated positions of a single solid are shown below. The various faces of the solid are marked with different symbols like dots, cross and line. Answer the three items that follow the given figures.
Q. What is the symbol on the face opposite to that containing a single dot?- a)Four dots
- b)Three dots
- c)Two dots
- d)Cross
Correct answer is option 'B'. Can you explain this answer?
Rotated positions of a single solid are shown below. The various faces of the solid are marked with different symbols like dots, cross and line. Answer the three items that follow the given figures.
Q. What is the symbol on the face opposite to that containing a single dot?
Q. What is the symbol on the face opposite to that containing a single dot?
a)
Four dots
b)
Three dots
c)
Two dots
d)
Cross
|
Yankanagouda Patil answered |
3
Monoculture carries great risks. A single disease or pest can wipe out swathes of the world’s food production, an alarming prospect given that its growing and wealthier population will eat 70% more by 2050. The risks are magnified by the changing climate. As the planet warms and monsoon rains intensify, farmlands in Asia will flood. North America will suffer more intense droughts, and crop diseases will spread to new latitudes.
Q. Which of the following is the most logical, rational and crucial message given by the passage?- a)Preserving crop genetic diversity is an insurance against the effects of climate change.
- b)Despite great risks, monoculture is the only way to ensure food security in the world.
- c)More and more genetically modified crops only can save the world from impending shortages of food.
- d)Asia and North America will be worst sufferers from climate change and the consequent shortage of food.
Correct answer is option 'A'. Can you explain this answer?
Monoculture carries great risks. A single disease or pest can wipe out swathes of the world’s food production, an alarming prospect given that its growing and wealthier population will eat 70% more by 2050. The risks are magnified by the changing climate. As the planet warms and monsoon rains intensify, farmlands in Asia will flood. North America will suffer more intense droughts, and crop diseases will spread to new latitudes.
Q. Which of the following is the most logical, rational and crucial message given by the passage?
Q. Which of the following is the most logical, rational and crucial message given by the passage?
a)
Preserving crop genetic diversity is an insurance against the effects of climate change.
b)
Despite great risks, monoculture is the only way to ensure food security in the world.
c)
More and more genetically modified crops only can save the world from impending shortages of food.
d)
Asia and North America will be worst sufferers from climate change and the consequent shortage of food.
|
|
Anjali Desai answered |
Monoculture, the cultivation of a single crop or plant species over large areas, indeed carries considerable risks. While it allows for efficient production and uniformity, it also creates vulnerability to various threats, such as diseases, pests, and environmental changes. A single disease or pest can quickly spread and devastate large portions of a monoculture crop, leading to significant economic losses and potential food insecurity. Here are a few reasons why monoculture carries great risks:
1. Disease and Pest Susceptibility: Monocultures lack genetic diversity, making them more susceptible to diseases and pests. When a single crop dominates an area, it creates an ideal environment for pathogens and pests to proliferate. If a particular disease or pest evolves to effectively attack the monoculture crop, it can rapidly spread and cause severe damage.
2. Lack of Natural Defenses: Genetic diversity in plant species promotes natural resistance to diseases and pests. In monocultures, where only one crop variety is grown, the lack of genetic variation diminishes the chance of having natural defenses against specific pathogens or pests. This increases the risk of a devastating outbreak that can quickly spread across vast areas.
3. Increased Chemical Dependency: To protect monoculture crops from diseases and pests, farmers often resort to increased use of pesticides and herbicides. This reliance on chemical inputs not only poses risks to human health and the environment but can also lead to the development of pesticide-resistant pests and diseases. Consequently, it becomes even more challenging to control outbreaks effectively.
4. Environmental Impacts: Monoculture systems often require intensive land use, leading to deforestation, habitat destruction, and loss of biodiversity. These practices disrupt the natural balance and can have long-term ecological consequences. Additionally, monocultures typically rely on large amounts of water, fertilizers, and energy inputs, contributing to environmental degradation and resource depletion.
5. Economic Vulnerability: When a single crop dominates a region's agriculture, a disease or pest outbreak can have severe economic repercussions. Farmers heavily relying on a single crop may face significant financial losses if their entire harvest is affected. This can lead to bankruptcy, unemployment, and socio-economic instability in farming communities.
To mitigate the risks associated with monoculture, promoting crop diversity, implementing integrated pest management practices, and adopting sustainable agricultural practices are crucial. Encouraging agroecological approaches that embrace biodiversity, crop rotations, and mixed farming systems can help build resilience against diseases, pests, and environmental challenges.
1. Disease and Pest Susceptibility: Monocultures lack genetic diversity, making them more susceptible to diseases and pests. When a single crop dominates an area, it creates an ideal environment for pathogens and pests to proliferate. If a particular disease or pest evolves to effectively attack the monoculture crop, it can rapidly spread and cause severe damage.
2. Lack of Natural Defenses: Genetic diversity in plant species promotes natural resistance to diseases and pests. In monocultures, where only one crop variety is grown, the lack of genetic variation diminishes the chance of having natural defenses against specific pathogens or pests. This increases the risk of a devastating outbreak that can quickly spread across vast areas.
3. Increased Chemical Dependency: To protect monoculture crops from diseases and pests, farmers often resort to increased use of pesticides and herbicides. This reliance on chemical inputs not only poses risks to human health and the environment but can also lead to the development of pesticide-resistant pests and diseases. Consequently, it becomes even more challenging to control outbreaks effectively.
4. Environmental Impacts: Monoculture systems often require intensive land use, leading to deforestation, habitat destruction, and loss of biodiversity. These practices disrupt the natural balance and can have long-term ecological consequences. Additionally, monocultures typically rely on large amounts of water, fertilizers, and energy inputs, contributing to environmental degradation and resource depletion.
5. Economic Vulnerability: When a single crop dominates a region's agriculture, a disease or pest outbreak can have severe economic repercussions. Farmers heavily relying on a single crop may face significant financial losses if their entire harvest is affected. This can lead to bankruptcy, unemployment, and socio-economic instability in farming communities.
To mitigate the risks associated with monoculture, promoting crop diversity, implementing integrated pest management practices, and adopting sustainable agricultural practices are crucial. Encouraging agroecological approaches that embrace biodiversity, crop rotations, and mixed farming systems can help build resilience against diseases, pests, and environmental challenges.
Graph given below which shows imports of three different types of steel over a period of six months of a year. Study the graph and answer the three items that follow.
The figures in the brackets indicate the average cost per ton over six months period.
Q. What was the approximate ratio of sheet steel and scrap steel imports in the first three months of the year?- a)1: 1
- b)1.2: 1
- c)1.4: 1
- d)1.6: 1
Correct answer is option 'B'. Can you explain this answer?
Graph given below which shows imports of three different types of steel over a period of six months of a year. Study the graph and answer the three items that follow.
The figures in the brackets indicate the average cost per ton over six months period.
Q. What was the approximate ratio of sheet steel and scrap steel imports in the first three months of the year?
The figures in the brackets indicate the average cost per ton over six months period.
Q. What was the approximate ratio of sheet steel and scrap steel imports in the first three months of the year?
a)
1: 1
b)
1.2: 1
c)
1.4: 1
d)
1.6: 1
|
Adi Narayana.k answered |
Approximate ratio =sheet steel (3months)/scrap steel= (40+37+36)/(32+34+32)=113/98
=1.16~1.2 sheet steel (3months)/scrap steel (3months)=1.2/1=1:2:1 correct answer is optionB"
=1.16~1.2 sheet steel (3months)/scrap steel (3months)=1.2/1=1:2:1 correct answer is optionB"
Scientific knowledge has its dangers, but so has every great thing. Over and beyond the dangers with which it threatens the present, it opens up as nothing else can, the vision of a possible happy world; a world without poverty, without war, with little illness. Science, whatever unpleasant consequences it may have by the way, is in its very nature a liberator.
Q. Which one of the following is the most important implication of the passage?- a)A happy world is a dream of science.
- b)Science only can build a happy /world, but it is also the only major threat.
- c)A happy world is not possible without science.
- d)A happy world is not at all possible with or without science.
Correct answer is option 'C'. Can you explain this answer?
Scientific knowledge has its dangers, but so has every great thing. Over and beyond the dangers with which it threatens the present, it opens up as nothing else can, the vision of a possible happy world; a world without poverty, without war, with little illness. Science, whatever unpleasant consequences it may have by the way, is in its very nature a liberator.
Q. Which one of the following is the most important implication of the passage?
Q. Which one of the following is the most important implication of the passage?
a)
A happy world is a dream of science.
b)
Science only can build a happy /world, but it is also the only major threat.
c)
A happy world is not possible without science.
d)
A happy world is not at all possible with or without science.
|
|
Arya Chauhan answered |
Implication of the passage:
The most important implication of the passage is that a happy world is not possible without science.
Explanation:
- The passage begins by acknowledging that scientific knowledge has its dangers, but so does every great thing. This suggests that while science may have negative consequences, it is not unique in this regard.
- The passage then highlights the positive aspects of science. It states that science opens up the vision of a possible happy world, one without poverty, war, and with little illness. This implies that science has the potential to bring about positive change and improve the conditions of the world.
- The passage further emphasizes that science is a liberator. This suggests that science frees humanity from various limitations and challenges, contributing to a better world.
- Based on these points, the passage implies that a happy world is not possible without science. It suggests that science is necessary to address and overcome the problems of poverty, war, and illness. Without scientific knowledge and advancements, it would be difficult to imagine a world free from these issues.
- The passage does not indicate that science is the only major threat or that it is the sole builder of a happy world. It acknowledges the dangers of science but also highlights its potential for positive change.
- Therefore, option C is the most important implication of the passage, as it aligns with the idea that a happy world is not possible without science.
The most important implication of the passage is that a happy world is not possible without science.
Explanation:
- The passage begins by acknowledging that scientific knowledge has its dangers, but so does every great thing. This suggests that while science may have negative consequences, it is not unique in this regard.
- The passage then highlights the positive aspects of science. It states that science opens up the vision of a possible happy world, one without poverty, war, and with little illness. This implies that science has the potential to bring about positive change and improve the conditions of the world.
- The passage further emphasizes that science is a liberator. This suggests that science frees humanity from various limitations and challenges, contributing to a better world.
- Based on these points, the passage implies that a happy world is not possible without science. It suggests that science is necessary to address and overcome the problems of poverty, war, and illness. Without scientific knowledge and advancements, it would be difficult to imagine a world free from these issues.
- The passage does not indicate that science is the only major threat or that it is the sole builder of a happy world. It acknowledges the dangers of science but also highlights its potential for positive change.
- Therefore, option C is the most important implication of the passage, as it aligns with the idea that a happy world is not possible without science.
Consider the sequence given below:
4/12/95, 1/1/96, 29/1/96, 26/2/96,….
what is the next term of the series?- a)24/3/96
- b)25/3/96
- c)26/3/96
- d)27/3/96
Correct answer is option 'B'. Can you explain this answer?
Consider the sequence given below:
4/12/95, 1/1/96, 29/1/96, 26/2/96,….
what is the next term of the series?
4/12/95, 1/1/96, 29/1/96, 26/2/96,….
what is the next term of the series?
a)
24/3/96
b)
25/3/96
c)
26/3/96
d)
27/3/96
|
|
Abhiram Unni answered |
25/3/96, 24/4/96, ...
This sequence seems to be a list of dates in chronological order, with each date being one month after the previous date. The pattern seems to be that the day of the month decreases by 3 each time (4, 1, 29, 26, 25, 24, ...), while the month increases by 1 each time (12, 1, 1, 2, 3, 4, ...). It's unclear what the significance of these dates might be without more context.
This sequence seems to be a list of dates in chronological order, with each date being one month after the previous date. The pattern seems to be that the day of the month decreases by 3 each time (4, 1, 29, 26, 25, 24, ...), while the month increases by 1 each time (12, 1, 1, 2, 3, 4, ...). It's unclear what the significance of these dates might be without more context.
Consider the following graphs. The curves in the graphs indicate different age groups in the populations of two countries A and B over a period of few decades :
With reference to the above graphs, which of the following are the most logical and rational inferences that can be made?
1. Over the last two and a half decades, the dependency ratio for country B has decreased.
2. By the end of next two and a half decades, the dependency ratio of country A will be much less than that of country B.
3. In the next two decades, the workforce relative to its total population will increase in country B as compared to country A.
Q. Select the correct answer using the code given below.- a)1 and 2 only
- b)2 and 3 only
- c)1 and 3 only
- d)1, 2 and 3
Correct answer is option 'B'. Can you explain this answer?
Consider the following graphs. The curves in the graphs indicate different age groups in the populations of two countries A and B over a period of few decades :
With reference to the above graphs, which of the following are the most logical and rational inferences that can be made?
1. Over the last two and a half decades, the dependency ratio for country B has decreased.
2. By the end of next two and a half decades, the dependency ratio of country A will be much less than that of country B.
3. In the next two decades, the workforce relative to its total population will increase in country B as compared to country A.
Q. Select the correct answer using the code given below.
With reference to the above graphs, which of the following are the most logical and rational inferences that can be made?
1. Over the last two and a half decades, the dependency ratio for country B has decreased.
2. By the end of next two and a half decades, the dependency ratio of country A will be much less than that of country B.
3. In the next two decades, the workforce relative to its total population will increase in country B as compared to country A.
Q. Select the correct answer using the code given below.
a)
1 and 2 only
b)
2 and 3 only
c)
1 and 3 only
d)
1, 2 and 3
|
Sk Ali answered |
1,2 and 3
The following table gives the GDP growth rate and Tele-density data of different States of a country in a particular year. Study the table and answer the two items that follow.
=> With reference to the above table, which of the following is/are the most logical and rational inference/ inferences that can be made?
1. Higher per capita income is generally associated with higher Tele-density.
2. Higher GDP growth rate always ensures higher per capita income.
3. Higher GDP growth rate does not necessarily ensure higher Tele-density.
Q. Select the correct answer using the code given below.- a)1 only
- b)2 and 3 only
- c)1 and 3 only
- d)3 only
Correct answer is option 'D'. Can you explain this answer?
The following table gives the GDP growth rate and Tele-density data of different States of a country in a particular year. Study the table and answer the two items that follow.
=> With reference to the above table, which of the following is/are the most logical and rational inference/ inferences that can be made?
1. Higher per capita income is generally associated with higher Tele-density.
2. Higher GDP growth rate always ensures higher per capita income.
3. Higher GDP growth rate does not necessarily ensure higher Tele-density.
Q. Select the correct answer using the code given below.
=> With reference to the above table, which of the following is/are the most logical and rational inference/ inferences that can be made?
1. Higher per capita income is generally associated with higher Tele-density.
2. Higher GDP growth rate always ensures higher per capita income.
3. Higher GDP growth rate does not necessarily ensure higher Tele-density.
Q. Select the correct answer using the code given below.
a)
1 only
b)
2 and 3 only
c)
1 and 3 only
d)
3 only
|
|
Mayank Patel answered |
HIV AIDS HIV odisha patients in ganjam in odisha patients
Consider the following graph in which the birthrate and death rate of a country are given, and answer the two items that follow.
=> With reference to the above graph, consider the following statements considering 1970 as base year:
1. Population has stabilized after 35 years.
2. Population growth rate has stabilized after 35 years.
3. Death rate has fallen by 10% in the first 10 years
4. Birth rate has stabilized after 35 years.
Q. Which of the above are the most logical and rational statements that can be made from the above graph?- a)2 and 4 only
- b)1, 2 and 3
- c)3 and 4
- d)1 and 2
Correct answer is option 'A'. Can you explain this answer?
Consider the following graph in which the birthrate and death rate of a country are given, and answer the two items that follow.
=> With reference to the above graph, consider the following statements considering 1970 as base year:
1. Population has stabilized after 35 years.
2. Population growth rate has stabilized after 35 years.
3. Death rate has fallen by 10% in the first 10 years
4. Birth rate has stabilized after 35 years.
Q. Which of the above are the most logical and rational statements that can be made from the above graph?
=> With reference to the above graph, consider the following statements considering 1970 as base year:
1. Population has stabilized after 35 years.
2. Population growth rate has stabilized after 35 years.
3. Death rate has fallen by 10% in the first 10 years
4. Birth rate has stabilized after 35 years.
Q. Which of the above are the most logical and rational statements that can be made from the above graph?
a)
2 and 4 only
b)
1, 2 and 3
c)
3 and 4
d)
1 and 2
|
|
Meera Singh answered |
Population growth rate has been stabilized after 35 years as the difference between the birth rate and the death rate has been some from approximately 2000.
A, B, C and D are students. They are studying in four different cities, viz., P, Q, R and .f not necessarily in that order). They are studying in Science college, Arts college, Commerce college and Engineering college (not necessarily in that order), which are situated in four different States, viz., Gujarat, Rajasthan,Assam and Kerala (not necessarily in that order). Further, it is given that
i. D is studying in Assam
ii. Arts college is located in city S which is in Rajasthan
iii. A is studying in Commerce college
iv. B is studying in city Q v. Science college is located in Kerala.
Q. Which one of the following statements is correct?- a)Engineering college is located in Assam.
- b)City Q is situated in Assam.
- c)C is studying in Kerala.
- d)B is studying in Gujarat.
Correct answer is option 'A'. Can you explain this answer?
A, B, C and D are students. They are studying in four different cities, viz., P, Q, R and .f not necessarily in that order). They are studying in Science college, Arts college, Commerce college and Engineering college (not necessarily in that order), which are situated in four different States, viz., Gujarat, Rajasthan,Assam and Kerala (not necessarily in that order). Further, it is given that
i. D is studying in Assam
ii. Arts college is located in city S which is in Rajasthan
iii. A is studying in Commerce college
iv. B is studying in city Q v. Science college is located in Kerala.
Q. Which one of the following statements is correct?
i. D is studying in Assam
ii. Arts college is located in city S which is in Rajasthan
iii. A is studying in Commerce college
iv. B is studying in city Q v. Science college is located in Kerala.
Q. Which one of the following statements is correct?
a)
Engineering college is located in Assam.
b)
City Q is situated in Assam.
c)
C is studying in Kerala.
d)
B is studying in Gujarat.
|
|
Priya Mukherjee answered |
Given Information:
Students: A, B, C, D
Cities: P, Q, R, S
Colleges: Science, Arts, Commerce, Engineering
States: Gujarat, Rajasthan, Assam, Kerala
Clues:
- D is studying in Assam
- Arts college is located in city S which is in Rajasthan
- A is studying in Commerce college
- B is studying in city Q
- Science college is located in Kerala
Solution:
From the given information and clues, we can create a table to represent the possible combinations of students, cities, colleges, and states as follows:
| Student | City | College | State |
| ------- | ---- | ---------- | ----------|
| A | ? | Commerce | ? |
| B | Q | ? | ? |
| C | ? | ? | Kerala |
| D | ? | ? | Assam |
We can fill in the known information in the table as follows:
| Student | City | College | State |
| ------- | ---- | ---------- | ----------|
| A | ? | Commerce | ? |
| B | Q | ? | ? |
| C | ? | ? | Kerala |
| D | ? | ? | Assam |
- D is studying in Assam, so we can fill in the state for D as Assam.
- Arts college is located in city S which is in Rajasthan, so we can fill in the city for Arts college as S and the state for S as Rajasthan.
- A is studying in Commerce college, so we can fill in the college for A as Commerce.
- B is studying in city Q, so we can fill in the city for B as Q.
| Student | City | College | State |
| ------- | ---- | ---------- | ----------|
| A | ? | Commerce | ? |
| B | Q | ? | ? |
| C | ? | ? | Kerala |
| D | ? | ? | Assam |
| | S | Arts | Rajasthan |
Now, we can see that the Science college must be located in Gujarat because all other states are already assigned to a student or college. Therefore, the Engineering college must be located in Assam as it is the only state left.
| Student | City | College | State |
| ------- | ---- | ---------- | ----------|
| A | ? | Commerce | ? |
| B | Q | ? | ? |
| C | ? | ? | Kerala |
| D | ? | ? | Assam |
| | S | Arts | Rajasthan |
| | | Science | Gujarat |
| | | Engineering| Assam |
Therefore, option 'A' is correct, which states that the Engineering college is located in Assam.
Students: A, B, C, D
Cities: P, Q, R, S
Colleges: Science, Arts, Commerce, Engineering
States: Gujarat, Rajasthan, Assam, Kerala
Clues:
- D is studying in Assam
- Arts college is located in city S which is in Rajasthan
- A is studying in Commerce college
- B is studying in city Q
- Science college is located in Kerala
Solution:
From the given information and clues, we can create a table to represent the possible combinations of students, cities, colleges, and states as follows:
| Student | City | College | State |
| ------- | ---- | ---------- | ----------|
| A | ? | Commerce | ? |
| B | Q | ? | ? |
| C | ? | ? | Kerala |
| D | ? | ? | Assam |
We can fill in the known information in the table as follows:
| Student | City | College | State |
| ------- | ---- | ---------- | ----------|
| A | ? | Commerce | ? |
| B | Q | ? | ? |
| C | ? | ? | Kerala |
| D | ? | ? | Assam |
- D is studying in Assam, so we can fill in the state for D as Assam.
- Arts college is located in city S which is in Rajasthan, so we can fill in the city for Arts college as S and the state for S as Rajasthan.
- A is studying in Commerce college, so we can fill in the college for A as Commerce.
- B is studying in city Q, so we can fill in the city for B as Q.
| Student | City | College | State |
| ------- | ---- | ---------- | ----------|
| A | ? | Commerce | ? |
| B | Q | ? | ? |
| C | ? | ? | Kerala |
| D | ? | ? | Assam |
| | S | Arts | Rajasthan |
Now, we can see that the Science college must be located in Gujarat because all other states are already assigned to a student or college. Therefore, the Engineering college must be located in Assam as it is the only state left.
| Student | City | College | State |
| ------- | ---- | ---------- | ----------|
| A | ? | Commerce | ? |
| B | Q | ? | ? |
| C | ? | ? | Kerala |
| D | ? | ? | Assam |
| | S | Arts | Rajasthan |
| | | Science | Gujarat |
| | | Engineering| Assam |
Therefore, option 'A' is correct, which states that the Engineering college is located in Assam.
Passage-1 ‘Desertification’ is a term used to explain a process of decline in the biological productivity of an ecosystem, leading to total loss of productivity. While this phenomenon is often linked to the arid, semi-arid and sub-humid ecosystems, even in the humid tropics, the impact could be most dramatic. Impoverishment of human-impacted terrestrial ecosystems may exhibit itself in a variety of ways : accelerated erosion as in the mountain regions of the country, salinization of land as in the semi-arid and arid ‘green revolution’ areas of the country, e.g., Haryana and western Uttar Pradesh, and site quality decline—a common phenomenon due to general decline in tree cover and monotonous monoculture of rice/wheat across the Indian plains. A major consequence of deforestation is that it relates to adverse alterations in the hydrology and related soil and nutrient losses. The consequences of deforestation invariably arise out of site degradation through erosive losses. Tropical Asia, Africa and South America have the highest levels of erosion. The already high rates for the tropics are increasing at an alarming rate (e.g., through the major river systems— Ganga and Brahmaputra, in the context), due to deforestation and land management practices subsequent to forest clearing. In the mountain context, the declining moisture retention of the mountain soils, drying up of the ‘underground springs and smaller rivers in the Himalayan could be attributed to drastic changes the forest cover. An indirect consequence is drastic alteration in the uplandlowland interaction, mediated through water. The current concern the tea planter of Assam has is about the damage to tea plantations due to frequent inundation along the flood-plains of Brahmaputra, and the damage to tea plantation and the consequent loss in tea productivity is due to rising level of the river bottom because of siltation and the changing course of the river system. The ultimate consequences of site desertification are soil degradation, alteration in available water’ and its quality, and the consequent decline in food, fodder and fuelwood yields essential for the economic wellbeing of rural communities.
=> According to the passage, which of the following are the consequences of decline in forest cover?
1. Loss of topsoil
2. Loss of smaller rivers
3. Adverse effect on production
4. Declining of groundwater.
Q. Select the correct answer using the code given below.
- a)1, 2 and 3 only
- b)2, 3 and 4 only
- c)1 and 4 only
- d)1, 2, 3 and 4
Correct answer is option 'A'. Can you explain this answer?
Passage-1 ‘Desertification’ is a term used to explain a process of decline in the biological productivity of an ecosystem, leading to total loss of productivity. While this phenomenon is often linked to the arid, semi-arid and sub-humid ecosystems, even in the humid tropics, the impact could be most dramatic. Impoverishment of human-impacted terrestrial ecosystems may exhibit itself in a variety of ways : accelerated erosion as in the mountain regions of the country, salinization of land as in the semi-arid and arid ‘green revolution’ areas of the country, e.g., Haryana and western Uttar Pradesh, and site quality decline—a common phenomenon due to general decline in tree cover and monotonous monoculture of rice/wheat across the Indian plains. A major consequence of deforestation is that it relates to adverse alterations in the hydrology and related soil and nutrient losses. The consequences of deforestation invariably arise out of site degradation through erosive losses. Tropical Asia, Africa and South America have the highest levels of erosion. The already high rates for the tropics are increasing at an alarming rate (e.g., through the major river systems— Ganga and Brahmaputra, in the context), due to deforestation and land management practices subsequent to forest clearing. In the mountain context, the declining moisture retention of the mountain soils, drying up of the ‘underground springs and smaller rivers in the Himalayan could be attributed to drastic changes the forest cover. An indirect consequence is drastic alteration in the uplandlowland interaction, mediated through water. The current concern the tea planter of Assam has is about the damage to tea plantations due to frequent inundation along the flood-plains of Brahmaputra, and the damage to tea plantation and the consequent loss in tea productivity is due to rising level of the river bottom because of siltation and the changing course of the river system. The ultimate consequences of site desertification are soil degradation, alteration in available water’ and its quality, and the consequent decline in food, fodder and fuelwood yields essential for the economic wellbeing of rural communities.
=> According to the passage, which of the following are the consequences of decline in forest cover?
1. Loss of topsoil
2. Loss of smaller rivers
3. Adverse effect on production
4. Declining of groundwater.
Q. Select the correct answer using the code given below.
=> According to the passage, which of the following are the consequences of decline in forest cover?
1. Loss of topsoil
2. Loss of smaller rivers
3. Adverse effect on production
4. Declining of groundwater.
Q. Select the correct answer using the code given below.
a)
1, 2 and 3 only
b)
2, 3 and 4 only
c)
1 and 4 only
d)
1, 2, 3 and 4
|
Aniket Mehra answered |
Consequences of Decline in Forest Cover:
- Loss of Topsoil: Deforestation leads to accelerated erosion, causing the loss of the fertile topsoil. This can result in decreased soil productivity and agricultural yields.
- Loss of Smaller Rivers: Deforestation can lead to changes in hydrology, including the drying up of underground springs and smaller rivers. This can impact the availability of water for various purposes.
- Adverse Effect on Production: The decline in forest cover can have adverse effects on agricultural production, as soil degradation and changes in water availability can reduce the yields of food, fodder, and fuelwood.
Therefore, the consequences of the decline in forest cover include the loss of topsoil, loss of smaller rivers, and adverse effects on production.
- Loss of Topsoil: Deforestation leads to accelerated erosion, causing the loss of the fertile topsoil. This can result in decreased soil productivity and agricultural yields.
- Loss of Smaller Rivers: Deforestation can lead to changes in hydrology, including the drying up of underground springs and smaller rivers. This can impact the availability of water for various purposes.
- Adverse Effect on Production: The decline in forest cover can have adverse effects on agricultural production, as soil degradation and changes in water availability can reduce the yields of food, fodder, and fuelwood.
Therefore, the consequences of the decline in forest cover include the loss of topsoil, loss of smaller rivers, and adverse effects on production.
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