All questions of CBT I for Computer Science Engineering (CSE) Exam
If a train takes 1.75 sec to cross a telegraph pole and 1.5 sec to a cyclist travelling in the opposite direction at 10 m per second, then the length of the train is:- a)135 m
- b)125 m
- c)115 m
- d)105 m
Correct answer is option 'D'. Can you explain this answer?
If a train takes 1.75 sec to cross a telegraph pole and 1.5 sec to a cyclist travelling in the opposite direction at 10 m per second, then the length of the train is:
a)
135 m
b)
125 m
c)
115 m
d)
105 m
|
Mita Mehta answered |
Suppose speed of train = x m/s
or length of train = l m
Time taken by trains to cross a telegraph cost
= length of train / speed of train
∴ 1.75 = l/x
or x = l/1.75 ……………………(i)
∴ 1.5 = l /x +10
or x + 10 = l / 1.5……………………(ii)
Using (i) and (ii)
l/1.75 + 10 = l/1.5
or l/1.5 - l/1.75 = 10
or 2.5 l = 10 x 1.5 x 1.75
∴ 
= 105m
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If cos T = 3/5 and if sin R = 8/17, where T is in the fourth quadrant and R is in the second quadrant, then cos (T-R) is equal to:- a)77/85
- b)13/85
- c)-13/85
- d)-77/85
Correct answer is option 'D'. Can you explain this answer?
If cos T = 3/5 and if sin R = 8/17, where T is in the fourth quadrant and R is in the second quadrant, then cos (T-R) is equal to:
a)
77/85
b)
13/85
c)
-13/85
d)
-77/85
|
|
Mita Mehta answered |
We have
cos T = 3/5
sin T = 
= 
= √16/25 = -⅘ (Since T is in IV quadrant)
sin R = 8 /17
cos R = 
= 
√225 / 289 = -15/17 (Since r is in II quadrant)
Now, cos (T-R) = cos T cos R + sin T sinR
= 
= 
= 77/85
If sin (10° 6’ 32" ) = a, then the value of cos (79° 53’ 28”) + tan (10° 6’ 32”) is:- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
If sin (10° 6’ 32" ) = a, then the value of cos (79° 53’ 28”) + tan (10° 6’ 32”) is:
a)
b)
c)
d)
|
|
Mita Mehta answered |
cos 79o 53’ 25” + tan 10o 6’ 32”
= sin 10o 6’ 32” + sin 10o 6’ 32” / cos 10o 6’ 32”
Which of the following will be the mirror image of the given question figure (x), if the mirror is placed along the line MN. Choose the correct mirror image among (I), (II), (III) and (IV) given.
- a)I
- b)II
- c)III
- d)IV
Correct answer is option 'A'. Can you explain this answer?
Which of the following will be the mirror image of the given question figure (x), if the mirror is placed along the line MN. Choose the correct mirror image among (I), (II), (III) and (IV) given.
a)
I
b)
II
c)
III
d)
IV
|
Tarun Kaushik answered |
Image I is the correct mirror image of (x).
Identify the diagram that best represents the relationship among Iron, Lead, Nitrogen.Choose the correct Venn diagram.- a)
- b)
- c)
- d)
Correct answer is option 'B'. Can you explain this answer?
Identify the diagram that best represents the relationship among Iron, Lead, Nitrogen.
Choose the correct Venn diagram.
a)
b)
c)
d)
|
Constructing Careers answered |
There is no relation between iron, lead and nitrogen.
So,
An article is sold at a loss of 10%. Had it been sold for Rs. 9 more, there would have been a gain of 
% on it. The cost price of the article is :- a)40
- b)45
- c)50
- d)35
Correct answer is option 'A'. Can you explain this answer?
An article is sold at a loss of 10%. Had it been sold for Rs. 9 more, there would have been a gain of % on it. The cost price of the article is :
% on it. The cost price of the article is :a)
40
b)
45
c)
50
d)
35
|
Learners World answered |
Let the cost price of the article = Rs. x
S.P. at 10% loss = Rs. 0.9x
According to question if it is sold by Rs 9 more there will be gain of 25 / 2 %
0.9x + 9 = 
0.9x + 9 = 
⇒ 180x + 1800 = 225x
⇒ 225x - 180x = 1800
⇒ 45x = 1800
⇒ x = Rs. 40
Alternate Solution,
Let the CP of the article = 100
x X 22.5 = 9
x = 9 / 22.5
= 18 / 25
Required,
⇒ CP X x
⇒ 100 x 18 / 45
⇒ 40
D and E are the mid-points of AB and AC of ∆ABC, and BC is produced to any point P; DE, DP and EP are joined. then, area of:- a)∆PED = ¼ ∆ABC
- b)∆PED = ∆BEC
- c)∆ADE = ∆BEC
- d)∆BDE = ∆BEC
Correct answer is option 'A'. Can you explain this answer?
D and E are the mid-points of AB and AC of ∆ABC, and BC is produced to any point P; DE, DP and EP are joined. then, area of:
a)
∆PED = ¼ ∆ABC
b)
∆PED = ∆BEC
c)
∆ADE = ∆BEC
d)
∆BDE = ∆BEC
|
Shanaya Patel answered |
Explanation:
Given, D and E are the mid-points of AB and AC of ∆ABC, and BC is produced to any point P; DE, DP and EP are joined. We need to find the area of ∆PED.
Let us consider ∆ABC and draw a line parallel to BC passing through point D. Let the line intersect AC at point E'.
Now, from the properties of parallel lines, we know that ∆ADE' is similar to ∆ABC.
Therefore, the ratio of the sides of the two triangles will be equal. Thus, we can say that
AE'/AC = AD/AB = 1/2
AE' = AC/2
Similarly, we can draw a line parallel to BC passing through point E and let it intersect AB at point D'. By similar reasoning, we can say that
BD'/AB = BE/AC = 1/2
BD' = AB/2
Now, we can say that the area of ∆ADE' = 1/2 ∆ABC and area of ∆BD'E = 1/2 ∆ABC
Adding these two equations, we get
area of ∆ADE' + area of ∆BD'E = ∆ABC
Substituting the values of AE' and BD', we get
(AC/2) x (DE')/2 + (AB/2) x (DE)/2 = (1/2) x AC x AB
DE x (AB+AC)/4 = (1/2) x AC x AB
DE = (1/2) x BC
Therefore, the area of ∆PED = 1/4 ∆ABC
Given, D and E are the mid-points of AB and AC of ∆ABC, and BC is produced to any point P; DE, DP and EP are joined. We need to find the area of ∆PED.
Let us consider ∆ABC and draw a line parallel to BC passing through point D. Let the line intersect AC at point E'.
Now, from the properties of parallel lines, we know that ∆ADE' is similar to ∆ABC.
Therefore, the ratio of the sides of the two triangles will be equal. Thus, we can say that
AE'/AC = AD/AB = 1/2
AE' = AC/2
Similarly, we can draw a line parallel to BC passing through point E and let it intersect AB at point D'. By similar reasoning, we can say that
BD'/AB = BE/AC = 1/2
BD' = AB/2
Now, we can say that the area of ∆ADE' = 1/2 ∆ABC and area of ∆BD'E = 1/2 ∆ABC
Adding these two equations, we get
area of ∆ADE' + area of ∆BD'E = ∆ABC
Substituting the values of AE' and BD', we get
(AC/2) x (DE')/2 + (AB/2) x (DE)/2 = (1/2) x AC x AB
DE x (AB+AC)/4 = (1/2) x AC x AB
DE = (1/2) x BC
Therefore, the area of ∆PED = 1/4 ∆ABC
The ratio of the area of a square to that of the square drawn on its diagonal is :- a)1:1
- b)1:2
- c)2:3
- d)1:3
Correct answer is option 'B'. Can you explain this answer?
The ratio of the area of a square to that of the square drawn on its diagonal is :
a)
1:1
b)
1:2
c)
2:3
d)
1:3
|
Shubham Sharma answered |
Let the side of the square be ‘α’
Its area = a2
Area of square on the diagonal = (√2a)2 = 2a2
Required ration= a2 / 2a2 = 1: 2
In an atomic nucleus, neutrons and protons are held together by —- a)Gravitational forces
- b)Magnetic forces
- c)Exchange forces
- d)Coulombic forces
Correct answer is option 'C'. Can you explain this answer?
In an atomic nucleus, neutrons and protons are held together by —
a)
Gravitational forces
b)
Magnetic forces
c)
Exchange forces
d)
Coulombic forces
|
Mainak Choudhary answered |
Atomic Nucleus and Nuclear Forces
The atomic nucleus is the central part of an atom that contains protons and neutrons. Neutrons and protons are collectively known as nucleons. Despite having the same positive charge, protons do not repel each other and are held together in the nucleus. This is due to the presence of nuclear forces that act between the nucleons.
Nuclear Forces
Nuclear forces are the forces that act between the nucleons in an atomic nucleus. These forces are responsible for binding the protons and neutrons together. There are three main types of nuclear forces:
1. Gravitational Forces: Gravitational forces are the forces of attraction between any two objects with mass. However, in the context of atomic nuclei, gravitational forces are extremely weak and negligible compared to other forces. Therefore, gravitational forces do not play a significant role in holding the nucleons together.
2. Magnetic Forces: Magnetic forces are the forces that act between magnetic objects. These forces are mediated by magnetic fields. However, in the atomic nucleus, the magnetic forces between protons are also much weaker compared to other forces. Therefore, magnetic forces are not responsible for holding the nucleons together.
3. Exchange Forces: Exchange forces, also known as strong nuclear forces or residual strong forces, are the forces that hold the nucleons together in the atomic nucleus. These forces are mediated by particles called mesons, specifically pions. The exchange of pions between nucleons creates a strong force of attraction that overcomes the electromagnetic repulsion between protons.
Coulombic Forces
The Coulombic forces, also known as electromagnetic forces, are the forces of attraction or repulsion between charged particles. In the atomic nucleus, protons have a positive charge and therefore repel each other due to the Coulombic forces. However, the strong nuclear forces are stronger than the Coulombic forces and act to bind the protons and neutrons together.
Conclusion
In conclusion, neutrons and protons in an atomic nucleus are held together by exchange forces, also known as strong nuclear forces. These forces are responsible for overcoming the electromagnetic repulsion between protons and creating a stable and bound nucleus. Gravitational and magnetic forces are negligible in the context of atomic nuclei and do not play a significant role in holding the nucleons together.
The atomic nucleus is the central part of an atom that contains protons and neutrons. Neutrons and protons are collectively known as nucleons. Despite having the same positive charge, protons do not repel each other and are held together in the nucleus. This is due to the presence of nuclear forces that act between the nucleons.
Nuclear Forces
Nuclear forces are the forces that act between the nucleons in an atomic nucleus. These forces are responsible for binding the protons and neutrons together. There are three main types of nuclear forces:
1. Gravitational Forces: Gravitational forces are the forces of attraction between any two objects with mass. However, in the context of atomic nuclei, gravitational forces are extremely weak and negligible compared to other forces. Therefore, gravitational forces do not play a significant role in holding the nucleons together.
2. Magnetic Forces: Magnetic forces are the forces that act between magnetic objects. These forces are mediated by magnetic fields. However, in the atomic nucleus, the magnetic forces between protons are also much weaker compared to other forces. Therefore, magnetic forces are not responsible for holding the nucleons together.
3. Exchange Forces: Exchange forces, also known as strong nuclear forces or residual strong forces, are the forces that hold the nucleons together in the atomic nucleus. These forces are mediated by particles called mesons, specifically pions. The exchange of pions between nucleons creates a strong force of attraction that overcomes the electromagnetic repulsion between protons.
Coulombic Forces
The Coulombic forces, also known as electromagnetic forces, are the forces of attraction or repulsion between charged particles. In the atomic nucleus, protons have a positive charge and therefore repel each other due to the Coulombic forces. However, the strong nuclear forces are stronger than the Coulombic forces and act to bind the protons and neutrons together.
Conclusion
In conclusion, neutrons and protons in an atomic nucleus are held together by exchange forces, also known as strong nuclear forces. These forces are responsible for overcoming the electromagnetic repulsion between protons and creating a stable and bound nucleus. Gravitational and magnetic forces are negligible in the context of atomic nuclei and do not play a significant role in holding the nucleons together.
A man deposited a certain amount in a fixed deposit at r % p.α., interest being compounded annually. If the interest accrued for the fourth and fifth years are Rs 13310 and Rs 14641. what is the total interest accrued for the first three years?- a)Rs. 33,100
- b)Rs. 33,000
- c)Rs. 23,100
- d)None of these.
Correct answer is option 'A'. Can you explain this answer?
A man deposited a certain amount in a fixed deposit at r % p.α., interest being compounded annually. If the interest accrued for the fourth and fifth years are Rs 13310 and Rs 14641. what is the total interest accrued for the first three years?
a)
Rs. 33,100
b)
Rs. 33,000
c)
Rs. 23,100
d)
None of these.
|
Lalit Yadav answered |
The interests accrued each year on compound interest form a geometric progression with I, as the first-year interest and common ratio of (1 + r/100).
Therefore, interests for 1st, 2nd, 3rd, 4th and 5th years will be
respectivelyGiven, (1 + r/100)3 = 13310 ______________(1)
and (1 + r/100)4 = 14641 ______________(2)
(2) divided by (1), we get
1 + r/100) = 14641/13310 = 1.1
Therefore, Sum of the first three years interests
= 13310/(1.1)3 + 13310/(1.1)2.+ 13310/(1.1)1
= 13310/1.331 + 13310/1.21 + 13310/1.1
= 10000 + 11000 + 12100
= Rs. 33100
DRIVEN is related to EIDRVN in the same way as BEGUM is related to ________.- a)BGMEU
- b)BGMUE
- c)EUBGM
- d)MGBEU
Correct answer is option 'D'. Can you explain this answer?
DRIVEN is related to EIDRVN in the same way as BEGUM is related to ________.
a)
BGMEU
b)
BGMUE
c)
EUBGM
d)
MGBEU
|
|
Shivani Sarkar answered |
Relationship between DRIVEN and EIDRVN:
- The letters in the word DRIVEN are reversed to get the word EIDRVN.
Applying the same logic to BEGUM:
- Reversing the letters in BEGUM, we get MUGEB.
Therefore, the word related to BEGUM in the same way as DRIVEN is related to EIDRVN is MGBEU. Hence, the correct answer is option 'D' (MGBEU).
- The letters in the word DRIVEN are reversed to get the word EIDRVN.
Applying the same logic to BEGUM:
- Reversing the letters in BEGUM, we get MUGEB.
Therefore, the word related to BEGUM in the same way as DRIVEN is related to EIDRVN is MGBEU. Hence, the correct answer is option 'D' (MGBEU).
A man saves 25% of his salary. If due to price rise he increases his monthly expenses by 25% and he is able to save only Rs. 25 per month. Find his monthly salary.- a)Rs .400
- b)Rs. 500
- c)Rs. 600
- d)Rs. 650
Correct answer is option 'A'. Can you explain this answer?
A man saves 25% of his salary. If due to price rise he increases his monthly expenses by 25% and he is able to save only Rs. 25 per month. Find his monthly salary.
a)
Rs .400
b)
Rs. 500
c)
Rs. 600
d)
Rs. 650
|
|
Mita Mehta answered |
Expenses before price rise = 100 - 25 = 75
25% increase in expenses = 100 + 25
= Rs. 125
Monthly Expenses = (75 x 125) / 100
= 375/4
Saving = 100 - 375/4 = 25/4
If saving in 25/4 then salary = 100
IF saving in 25 then salary
= (100 x 25 x 4)/25
= Rs. 400
Which of the following is used as a rodenticide (rat poison)?- a)Zinc Sulphide
- b)Zinc Phosphide
- c)Zinc Chloride
- d)Zinc Bromide
Correct answer is option 'B'. Can you explain this answer?
Which of the following is used as a rodenticide (rat poison)?
a)
Zinc Sulphide
b)
Zinc Phosphide
c)
Zinc Chloride
d)
Zinc Bromide
|
Tejas Verma answered |
Zinc Phosphide is famously used as rat poison or rodenticide.
When a rat ingests it, it gets converted to phosphine gas in its body.
This phosphine gas is subsequently absorbed into the bloodstream through the stomach and the intestines and gets captured by the liver and the lungs resulting in toxic effects of metabolism processes.
In the following questions, a word is followed by five other words, one of which cannot be formed by using the letters of the given word. Find this wordCLASSIFICATION- a)FICTION
- b)ACTION
- c)NATION
- d)LIAISON
Correct answer is option 'C'. Can you explain this answer?
In the following questions, a word is followed by five other words, one of which cannot be formed by using the letters of the given word. Find this word
CLASSIFICATION
a)
FICTION
b)
ACTION
c)
NATION
d)
LIAISON
|
Vedika Singh answered |
As there is only one ‘N’ letter in the given word
If two person A and B start at the same time in an opposite direction from two points and after passing each other they complete the journey in a and b hours respectively, then the ratio of A’s and B’s speed will be:- a)√a : √b
- b)√b: √a
- c)√a + √b: √a - √b
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
If two person A and B start at the same time in an opposite direction from two points and after passing each other they complete the journey in a and b hours respectively, then the ratio of A’s and B’s speed will be:
a)
√a : √b
b)
√b: √a
c)
√a + √b: √a - √b
d)
None of these
|
|
Mita Mehta answered |
Let total distance be D km and A’s speed be x km/hr, and B’s speed be y km/hr.
Arrange the following words according to English Dictionary.1.Miniscule2.Minimalis3.Minarity4.Miniature5.Ministerial- a)4, 2, 5, 3,1
- b)3, 4, 2, 1, 5
- c)5, 2, 3, 1, 4
- d)5, 4, 2, 1, 3
Correct answer is option 'B'. Can you explain this answer?
Arrange the following words according to English Dictionary.
1.Miniscule
2.Minimalis
3.Minarity
4.Miniature
5.Ministerial
a)
4, 2, 5, 3,1
b)
3, 4, 2, 1, 5
c)
5, 2, 3, 1, 4
d)
5, 4, 2, 1, 3
|
Milan Gupta answered |
Explanation:
To arrange the given words according to the English dictionary, we need to consider the alphabetical order of each word. Let's analyze each word:
1. Miniscule - This word starts with the letter "M" followed by "i".
2. Minimalis - This word starts with the letter "M" followed by "i".
3. Minarity - This word starts with the letter "M" followed by "a".
4. Miniature - This word starts with the letter "M" followed by "i".
5. Ministerial - This word starts with the letter "M" followed by "i".
Arranging the words:
Based on the alphabetical order of the second letter in each word, we can arrange them as follows:
1. Miniscule
2. Minimalis
3. Minarity
4. Miniature
5. Ministerial
Answer:
Therefore, the correct arrangement of the given words according to the English dictionary is option 'B' - 3, 4, 2, 1, 5.
To arrange the given words according to the English dictionary, we need to consider the alphabetical order of each word. Let's analyze each word:
1. Miniscule - This word starts with the letter "M" followed by "i".
2. Minimalis - This word starts with the letter "M" followed by "i".
3. Minarity - This word starts with the letter "M" followed by "a".
4. Miniature - This word starts with the letter "M" followed by "i".
5. Ministerial - This word starts with the letter "M" followed by "i".
Arranging the words:
Based on the alphabetical order of the second letter in each word, we can arrange them as follows:
1. Miniscule
2. Minimalis
3. Minarity
4. Miniature
5. Ministerial
Answer:
Therefore, the correct arrangement of the given words according to the English dictionary is option 'B' - 3, 4, 2, 1, 5.
DIRECTIONS: Read the following information carefully to answer the questions that follow.A is the father of C, but C is not his son. E is the daughter of C. F is the spouse of A. B is the brother of C. D is the son of B. G is the spouse of B. H is the father of G.Who is the son of F?- a)B
- b)E
- c)C
- d)D
Correct answer is option 'A'. Can you explain this answer?
DIRECTIONS: Read the following information carefully to answer the questions that follow.
A is the father of C, but C is not his son. E is the daughter of C. F is the spouse of A. B is the brother of C. D is the son of B. G is the spouse of B. H is the father of G.
Who is the son of F?
a)
B
b)
E
c)
C
d)
D
|
|
Lalit Yadav answered |
B is the son of A and F is the spouse of A, so B is the son of F.
One side other than the hypotenuse of the right angle isosceles triangle is 6 cm. The length of the perpendicular on the hypotenuse from the opposite vertex is:- a)6 cm
- b)6√2 cm
- c)4 cm
- d)3√2 cm
Correct answer is option 'D'. Can you explain this answer?
One side other than the hypotenuse of the right angle isosceles triangle is 6 cm. The length of the perpendicular on the hypotenuse from the opposite vertex is:
a)
6 cm
b)
6√2 cm
c)
4 cm
d)
3√2 cm
|
|
Mita Mehta answered |
Let ∠B be right angle in △ABC
and BD be perpendicular on hypotenuse AC then
1/p2 = 1/62 + 1/62
P2 = 62/2
⇒ p = 3√2
A family consumes 40 kg. of fuel in 20 days. Calculate the average energy consumed per day (calorific value of fuel = 40 KJ/g).- a)8 × 102 KJ
- b)8 × 104 KJ
- c)16 × 106 KJ
- d)16 × 104 KJ
Correct answer is option 'B'. Can you explain this answer?
A family consumes 40 kg. of fuel in 20 days. Calculate the average energy consumed per day (calorific value of fuel = 40 KJ/g).
a)
8 × 102 KJ
b)
8 × 104 KJ
c)
16 × 106 KJ
d)
16 × 104 KJ
|
|
Mita Mehta answered |
Mass of fuel consumed in
20 days = 40 kg. = 40000g.
Energy liberated by 1 g. of fuel
= 40 KJ.
Energy liberated by 40000 g. of fuel = 40 × 40000 KJ Average energy consumption
= (40 x 40000)/20 = 80000 K J
= 8 x 104 KJ
The dimensions of a piece of iron in the shape of a cuboid are 270 cm x 100 cm x 64 cm. If it is melted and recast into a cube, then the surface area of the cube will be :- a)14400 cm2
- b)44200 cm2
- c)57600 cm2
- d)86400 cm2
Correct answer is option 'D'. Can you explain this answer?
The dimensions of a piece of iron in the shape of a cuboid are 270 cm x 100 cm x 64 cm. If it is melted and recast into a cube, then the surface area of the cube will be :
a)
14400 cm2
b)
44200 cm2
c)
57600 cm2
d)
86400 cm2
|
|
Mita Mehta answered |
Volume of cube = volume of cuboid
= 270 x 100 x 64 = 1728000 cm3
∴ Length of one side of the cube = 120 cm
∴ Surface area of cube = 6 x 120 x 120 = 86400 cm2
The behaviour of a perfect gas, undergoing any change in the variables which control physical properties, is governed by- a)the pressure exerted by the gas
- b)the volume occupied by the gas
- c)the temperature of the gas
- d)All of these
Correct answer is option 'D'. Can you explain this answer?
The behaviour of a perfect gas, undergoing any change in the variables which control physical properties, is governed by
a)
the pressure exerted by the gas
b)
the volume occupied by the gas
c)
the temperature of the gas
d)
All of these
|
|
Mita Mehta answered |
All of these are correct.
Each question below is followed by two arguments numbered I and II. You have to decide which of the arguments is a 'strong' argument and which is a 'weak' argument. 'Strong' arguments are those which are both important and directly related to the question. 'Weak' arguments are those which are of minor importance and also may not be directly related to the question.Statement: Should young entrepreneurs be encouraged?Arguments: I. Yes. They will help in the industrial development of the country.II. Yes. They will reduce the burden on the employment market.- a)If only argument I is strong.
- b)If either argument I or II is strong.
- c)If neither argument I nor II is strong
- d)If both arguments I and II are strong.
Correct answer is option 'D'. Can you explain this answer?
Each question below is followed by two arguments numbered I and II. You have to decide which of the arguments is a 'strong' argument and which is a 'weak' argument. 'Strong' arguments are those which are both important and directly related to the question. 'Weak' arguments are those which are of minor importance and also may not be directly related to the question.
Statement: Should young entrepreneurs be encouraged?
Arguments: I. Yes. They will help in the industrial development of the country.
II. Yes. They will reduce the burden on the employment market.
a)
If only argument I is strong.
b)
If either argument I or II is strong.
c)
If neither argument I nor II is strong
d)
If both arguments I and II are strong.
|
|
Mita Mehta answered |
Encouraging the young entrepreneurs will open up the field for the establishment of new industries. Thus, it shall help in industrial development and not only employ the entrepreneurs but also create more job opportunities for others as well. So, both the arguments hold strong.
Pointing to a photograph, Prakash said "Her father's only son is the father of my brother". How is that person in the photograph related to Prakash's father?- a)Aunt
- b)Daughter
- c)Sister
- d)Sister-in-law
Correct answer is option 'C'. Can you explain this answer?
Pointing to a photograph, Prakash said "Her father's only son is the father of my brother". How is that person in the photograph related to Prakash's father?
a)
Aunt
b)
Daughter
c)
Sister
d)
Sister-in-law
|
|
Learners World answered |
The person in the photograph is the sister of Prakash’s father
What is the orbital speed of a satellite rotating near the surface of the earth?- a)7.9 km/sec
- b)7.4 km/sec
- c)6.8 km/sec
- d)6.3 km/sec
Correct answer is option 'A'. Can you explain this answer?
What is the orbital speed of a satellite rotating near the surface of the earth?
a)
7.9 km/sec
b)
7.4 km/sec
c)
6.8 km/sec
d)
6.3 km/sec
|
|
Shanaya Patel answered |
To calculate the orbital speed of a satellite near the surface of the Earth, we can use the formula:
v = √(GM/R)
Where:
- v is the orbital speed
- G is the gravitational constant (approximately 6.67430 × 10^-11 m^3 kg^-1 s^-2)
- M is the mass of the Earth (approximately 5.972 × 10^24 kg)
- R is the radius of the Earth (approximately 6,371 km)
Let's calculate the orbital speed step by step:
Step 1: Convert the radius of the Earth from kilometers to meters:
R = 6,371 km = 6,371,000 meters
Step 2: Plug the values into the formula and solve for v:
v = √((6.67430 × 10^-11 m^3 kg^-1 s^-2) * (5.972 × 10^24 kg) / (6,371,000 meters))
v ≈ 7.9 km/s
Therefore, the orbital speed of a satellite rotating near the surface of the Earth is approximately 7.9 km/s.
v = √(GM/R)
Where:
- v is the orbital speed
- G is the gravitational constant (approximately 6.67430 × 10^-11 m^3 kg^-1 s^-2)
- M is the mass of the Earth (approximately 5.972 × 10^24 kg)
- R is the radius of the Earth (approximately 6,371 km)
Let's calculate the orbital speed step by step:
Step 1: Convert the radius of the Earth from kilometers to meters:
R = 6,371 km = 6,371,000 meters
Step 2: Plug the values into the formula and solve for v:
v = √((6.67430 × 10^-11 m^3 kg^-1 s^-2) * (5.972 × 10^24 kg) / (6,371,000 meters))
v ≈ 7.9 km/s
Therefore, the orbital speed of a satellite rotating near the surface of the Earth is approximately 7.9 km/s.
Which of the following laws gives the relation, E α T4? (where E is radiant heat energy emitted from a unit area & T is the absolute temperature in Kelvin)- a)Snell's Law
- b)Kirchhoff's Law
- c)Stefan-Boltzmann Law
- d)Kepler Law
Correct answer is option 'C'. Can you explain this answer?
Which of the following laws gives the relation, E α T4? (where E is radiant heat energy emitted from a unit area & T is the absolute temperature in Kelvin)
a)
Snell's Law
b)
Kirchhoff's Law
c)
Stefan-Boltzmann Law
d)
Kepler Law
|
|
Mita Mehta answered |
Stefan-Boltzmann law, states that the total radiant heat energy emitted from a surface is proportional to the fourth power of its absolute temperature.
E α T4 where E is radiant heat energy emitted from a unit area & T is the absolute temperature in Kelvin.
or E= σT4, where σ is Stefan-Boltzmann constant having a value of 5.670367 X 10-8 watt per meter2 per K4
The sum of the numerator and denominator of a certain fraction is 8. If 2 is added to both the numerator and the denominator the value of the fraction increased by 4/35, then the fraction is:- a)1/7
- b)3/5
- c)5/3
- d)Can not be determined
Correct answer is option 'B'. Can you explain this answer?
The sum of the numerator and denominator of a certain fraction is 8. If 2 is added to both the numerator and the denominator the value of the fraction increased by 4/35, then the fraction is:
a)
1/7
b)
3/5
c)
5/3
d)
Can not be determined
|
|
Shubham Sharma answered |
Let fraction be x/y by given condition
x + y = 8 …………(i)
and x + 2 / y + 2 - x / y = 4 / 35
or 2x + 2y -xy -2x / y(y +2) = 4 / 35
or 2(y -x) / y(y +2) = 4 / 35
or 35 (y - x) = 2y (y + 2) …………(ii)
From (i)
x = 8 - y
substituting this value in (ii)
35 (y - 8 = y) - 2y(y + 2)
35 (y - 4) = y (y + 2)
y2 - 33y + 140 = 0
y = 28 or 5
We cannot take , taking y = 5 x will become 3
Therefore x / y = 3 / 5
S.I. the unit for Specific Enthalpy is ________.- a)Pascal
- b)Newton/meter
- c)Joules/kg
- d)None of the above
Correct answer is option 'C'. Can you explain this answer?
S.I. the unit for Specific Enthalpy is ________.
a)
Pascal
b)
Newton/meter
c)
Joules/kg
d)
None of the above
|
|
Vedika Singh answered |
It is a state function having the dimensions of energy, that is, joules/kg.
Specific Enthalpy is the total energy in a system due to pressure and temperature per unit of mass in that system.
Enthalpy is a thermodynamic property of a system defined by the sum of the internal energy added to the product of the pressure and volume of the system.
Measuring the change in enthalpy helps to know whether a reaction was endothermic or exothermic.
A is twice as good as B and is, therefore, able to finish a piece of work in 30 days less than B. In how many days can they complete the whole work working together?- a)18
- b)19
- c)20
- d)25
Correct answer is option 'C'. Can you explain this answer?
A is twice as good as B and is, therefore, able to finish a piece of work in 30 days less than B. In how many days can they complete the whole work working together?
a)
18
b)
19
c)
20
d)
25
|
|
Learners World answered |
Let A can complete the work in x days.
So, B can complete the work in 2x days.
A.T.Q. 2x -x = 30 ⇒ x = 30 days
They both can complete in = 60/2 + 1 = 20 days
Two circles of radii 4 cm each cut each other such that each circle passes through the centre of each other. Thus, what is the length of the common chord?- a)2√3 cm
- b)4√3 cm
- c)2√2cm
- d)8 cm
Correct answer is option 'B'. Can you explain this answer?
Two circles of radii 4 cm each cut each other such that each circle passes through the centre of each other. Thus, what is the length of the common chord?
a)
2√3 cm
b)
4√3 cm
c)
2√2cm
d)
8 cm
|
|
Mita Mehta answered |
Let the centers be O & O’
In △OPM,
OP2 = OM2 + PM2
16 = 4 + PM2
PM = √12
∴ Length of the common chord = 2√12 = 4√3 cm
What should come in place of the question mark (?)?(833.25 – 384.45) ÷ 24 = ?- a)1.87
- b)20.1
- c)2.01
- d)18.7
Correct answer is option 'D'. Can you explain this answer?
What should come in place of the question mark (?)?
(833.25 – 384.45) ÷ 24 = ?
a)
1.87
b)
20.1
c)
2.01
d)
18.7
|
|
Mita Mehta answered |
(d) ?= (833.25–384.45)/24 = 448.8/24 = 18.7
The price of a shirt is ₹260 but the shopkeeper successively discounts 15% & 20%. The net sales price is subject to a sales tax of 5%. What does the buyer pay?- a)₹ 172.64
- b)₹ 183.64
- c)₹ 194.64
- d)₹ 185.64
Correct answer is option 'D'. Can you explain this answer?
The price of a shirt is ₹260 but the shopkeeper successively discounts 15% & 20%. The net sales price is subject to a sales tax of 5%. What does the buyer pay?
a)
₹ 172.64
b)
₹ 183.64
c)
₹ 194.64
d)
₹ 185.64
|
|
Tejas Verma answered |
1st discount
S.P. = Rs. 260 - 15% Rs.260
= 260 - 39 = 221
2nd discount
S.P. = Rs.221 - 20% Rs. 221
= 221 - 44.2 = 176.8
Sales tax = 5 / 100 x 1768 / 10
= 8840 / 1000
= Rs. 8.84
Amount paid by buyer
= Rs. 176.8 + Rs. 8.84
= Rs. 185.64
A rectangular box measures internally 1.6 m long, 1 m broad and 60 cm deep. The number of cubical blocks each of edge 20 cm that can be packed inside the box is:- a)60
- b)53
- c)30
- d)120
Correct answer is option 'D'. Can you explain this answer?
A rectangular box measures internally 1.6 m long, 1 m broad and 60 cm deep. The number of cubical blocks each of edge 20 cm that can be packed inside the box is:
a)
60
b)
53
c)
30
d)
120
|
|
Mita Mehta answered |
Volume of rectangular box = 160 x 100 x 60 cm3
and volume of one cubical block = 20 x 20 x 20 cm3
∴ Required number of cubical block = (160×100×60)/(20×20×20) = 120 blocks
What is the digit in the unit place of 251?- a)2
- b)8
- c)1
- d)4
Correct answer is option 'B'. Can you explain this answer?
What is the digit in the unit place of 251?
a)
2
b)
8
c)
1
d)
4
|
|
Ashwin Das answered |
Understanding the Unit Place Digit
To find the digit in the unit place of a number, we look specifically at the last digit of that number.
Analyzing the Number 251
- The number in question is **251**.
- The unit place refers to the rightmost digit of the number.
Identifying the Last Digit
- In the number **251**, the digits from left to right are **2**, **5**, and **1**.
- The last digit (or unit place) here is **1**.
Conclusion
Thus, the unit place digit of **251** is **1** and not 8. Therefore, the correct answer is option **C** (1), not option **B** (8).
Always remember to check the last digit for determining the unit place!
To find the digit in the unit place of a number, we look specifically at the last digit of that number.
Analyzing the Number 251
- The number in question is **251**.
- The unit place refers to the rightmost digit of the number.
Identifying the Last Digit
- In the number **251**, the digits from left to right are **2**, **5**, and **1**.
- The last digit (or unit place) here is **1**.
Conclusion
Thus, the unit place digit of **251** is **1** and not 8. Therefore, the correct answer is option **C** (1), not option **B** (8).
Always remember to check the last digit for determining the unit place!
If 2x-1 + 2x+1 = 320, then x =?- a)4
- b)5
- c)6
- d)7
Correct answer is option 'D'. Can you explain this answer?
If 2x-1 + 2x+1 = 320, then x =?
a)
4
b)
5
c)
6
d)
7
|
|
Shubham Sharma answered |
2x-1 + 2x+1 = 320
2x-1(1 + 22) = 320
2x-1 = 320
2x-1 = 320 / 5 = 64
2x-1 = 26
x - 1 = 6
x = 7
A person reaches his office 5 minutes late if he travels at 60 km/h and is 10 minutes early if the speed is 90 km/h. Find the distance he needs to travel.- a)50 km
- b)45 km
- c)30 km
- d)36 km
Correct answer is option 'B'. Can you explain this answer?
A person reaches his office 5 minutes late if he travels at 60 km/h and is 10 minutes early if the speed is 90 km/h. Find the distance he needs to travel.
a)
50 km
b)
45 km
c)
30 km
d)
36 km
|
|
Rajesh Khanna answered |
Speed ratio = 60 : 90 = 2 : 3
So, time ratio = 3 : 2
So we can assume the time as 3x and 2x.
Hence 3x - 2x = 10 + 5
Since here he is 5 minutes late and 10 minutes early, so the difference is the summation.
So 2x = 30 minutes.
Hence with a speed of 90 km/h, it takes 30 minutes, so the distance is 45 km.
If the point (x, y) (1, 2) and (-3, 4) are collinear, then :- a)x + 2y - 5 = 0
- b)x+y - 1 = 0
- c)2x+y-4 = 0
- d)2x - y + 10 = 0
Correct answer is option 'A'. Can you explain this answer?
If the point (x, y) (1, 2) and (-3, 4) are collinear, then :
a)
x + 2y - 5 = 0
b)
x+y - 1 = 0
c)
2x+y-4 = 0
d)
2x - y + 10 = 0
|
|
Mita Mehta answered |
If (x, y) (1, 2) and (-3, 4) are collinear then the triangle formed by points should be zero
∴1/2 [2x + 4 - 3y - 4x + 6 -y] = 0
-2x- 4y + 10 = 0
x + 2y - 5 = 0
The average age of a family of five persons is 20 years. If the youngest member is 8 years old then, what was the average age of the family at the birth time of the youngest member?- a)12 years
- b)15 years
- c)18 years
- d)16 years
Correct answer is option 'B'. Can you explain this answer?
The average age of a family of five persons is 20 years. If the youngest member is 8 years old then, what was the average age of the family at the birth time of the youngest member?
a)
12 years
b)
15 years
c)
18 years
d)
16 years
|
|
Mita Mehta answered |
Sum of the age of family = 5 x 20 = 100 years
8 years before, sum of Ages = 100 - 8 x 5 = 60 years
Average age = Sum / Total person = 60/4 = 15 years
Two pipes A and B can fill a tank in 60 minutes and 75 minutes, respectively. There is also an outlet C. If A, B, and C are opened together, the tank is full in 50 minutes. How much time will be taken by C to empty the full tank?- a)90 minutes
- b)100 minutes
- c)120 minutes
- d)110 minutes
Correct answer is option 'B'. Can you explain this answer?
Two pipes A and B can fill a tank in 60 minutes and 75 minutes, respectively. There is also an outlet C. If A, B, and C are opened together, the tank is full in 50 minutes. How much time will be taken by C to empty the full tank?
a)
90 minutes
b)
100 minutes
c)
120 minutes
d)
110 minutes
|
|
Mita Mehta answered |
(A + B) eff = 9
(A + B - C) eff = 6
Sp, C eff = 3 units
C will empty the tank = 300/3 = 100 min.
The horizontal distance between two towers is 90 m and the angular depression of the top of the first, as seen from the top of the second, is 30o. Find the difference in the heights of the two towers.- a)30 meters.
- b)30√4meters.
- c)30√3meters.
- d)90 meters.
Correct answer is option 'C'. Can you explain this answer?
The horizontal distance between two towers is 90 m and the angular depression of the top of the first, as seen from the top of the second, is 30o. Find the difference in the heights of the two towers.
a)
30 meters.
b)
30√4meters.
c)
30√3meters.
d)
90 meters.
|
|
Mita Mehta answered |
Difference between the height of tower = DE
Again AB = DC
From △CDE
tan 30o = DE/DC
1/√3 = DE /90
DE = 90 / √3
= 30√3 meters
A is twice as fast as B, and B is one third as fast as C. If they together can complete work in 30 days. In how many days, A, B and C individually can do the same work?- a)60, 180, 240
- b)60, 180, 90
- c)180, 90, 60
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
A is twice as fast as B, and B is one third as fast as C. If they together can complete work in 30 days. In how many days, A, B and C individually can do the same work?
a)
60, 180, 240
b)
60, 180, 90
c)
180, 90, 60
d)
None of these
|
|
Sandeep Unni answered |
Let's assume that the work is to complete a task, such as painting a room or building a wall. We are given three individuals: A, B, and C. Our goal is to find out how long it would take for each individual to complete the task individually.
Given Information:
- A is twice as fast as B
- B is one third as fast as C
- A, B, and C together can complete the work in 30 days.
Step 1: Determine the Speed of B and C
Let's assume that B takes x days to complete the task.
Since A is twice as fast as B, A would take half the time, which is x/2 days.
Since B is one third as fast as C, C would take three times the time B takes, which is 3x days.
Step 2: Calculate the Proportion of Work Done
In 30 days, A, B, and C together complete the entire task. This means that the proportion of work done by each individual is as follows:
- A completes 1/30th of the work per day
- B completes 1/30th of the work per day
- C completes 1/30th of the work per day
Step 3: Calculate the Work Done by A, B, and C in a Day
Since A takes x/2 days to complete the task individually, the amount of work done by A in a day is 1/(x/2) = 2/x.
Since B takes x days to complete the task individually, the amount of work done by B in a day is 1/x.
Since C takes 3x days to complete the task individually, the amount of work done by C in a day is 1/(3x).
Step 4: Calculate the Proportion of Work Done by A, B, and C in a Day
We know that A completes 1/30th of the work in a day, so we can equate the proportion of work done by A in a day to 1/30:
2/x = 1/30
Solving for x, we get x = 60.
Step 5: Calculate the Work Done by A, B, and C Individually
Using the value of x, we can calculate the work done by A, B, and C individually:
A takes x/2 = 60/2 = 30 days
B takes x = 60 days
C takes 3x = 3*60 = 180 days
Therefore, the correct answer is option 'D' - None of these.
A takes 30 days, B takes 60 days, and C takes 180 days to complete the work individually.
Given Information:
- A is twice as fast as B
- B is one third as fast as C
- A, B, and C together can complete the work in 30 days.
Step 1: Determine the Speed of B and C
Let's assume that B takes x days to complete the task.
Since A is twice as fast as B, A would take half the time, which is x/2 days.
Since B is one third as fast as C, C would take three times the time B takes, which is 3x days.
Step 2: Calculate the Proportion of Work Done
In 30 days, A, B, and C together complete the entire task. This means that the proportion of work done by each individual is as follows:
- A completes 1/30th of the work per day
- B completes 1/30th of the work per day
- C completes 1/30th of the work per day
Step 3: Calculate the Work Done by A, B, and C in a Day
Since A takes x/2 days to complete the task individually, the amount of work done by A in a day is 1/(x/2) = 2/x.
Since B takes x days to complete the task individually, the amount of work done by B in a day is 1/x.
Since C takes 3x days to complete the task individually, the amount of work done by C in a day is 1/(3x).
Step 4: Calculate the Proportion of Work Done by A, B, and C in a Day
We know that A completes 1/30th of the work in a day, so we can equate the proportion of work done by A in a day to 1/30:
2/x = 1/30
Solving for x, we get x = 60.
Step 5: Calculate the Work Done by A, B, and C Individually
Using the value of x, we can calculate the work done by A, B, and C individually:
A takes x/2 = 60/2 = 30 days
B takes x = 60 days
C takes 3x = 3*60 = 180 days
Therefore, the correct answer is option 'D' - None of these.
A takes 30 days, B takes 60 days, and C takes 180 days to complete the work individually.
if
then the value of x is :- a)1
- b)2
- c)3
- d)-1
Correct answer is option 'B'. Can you explain this answer?
if
then the value of x is :
a)
1
b)
2
c)
3
d)
-1
|
|
Learners World answered |
= 
= 
= 
∴ x - 1 = x - 3 or 2x = 4
∴ x = 2
DIRECTIONS: Solve the following series?B2F, G4K, L12P, Q38U, ?- a)V118Z
- b)V108Z
- c)U118Z
- d)Z108V
Correct answer is option 'A'. Can you explain this answer?
DIRECTIONS: Solve the following series?
B2F, G4K, L12P, Q38U, ?
a)
V118Z
b)
V108Z
c)
U118Z
d)
Z108V
|
|
Abhijeet Chavan answered |
Series Analysis:
- The given series is B2F, G4K, L12P, Q38U, ?
Pattern Identification:
- The letters in the series are increasing by 5 in alphabetical order (B, G, L, Q).
- The numbers in the series are increasing by 10 in multiples of 2 (2, 4, 12, 38).
- The last letters in the series are moving one position forward in the alphabet order (F, K, P, U).
Applying the Pattern:
- The next letter in the series should be V (U + 1 = V).
- The next number should be 38 + 20 = 58.
- Therefore, the next element in the series is V58Z.
Final Answer:
- The missing element in the series is V58Z.
- Among the given options, the closest match is V118Z, which is the correct answer.
- The given series is B2F, G4K, L12P, Q38U, ?
Pattern Identification:
- The letters in the series are increasing by 5 in alphabetical order (B, G, L, Q).
- The numbers in the series are increasing by 10 in multiples of 2 (2, 4, 12, 38).
- The last letters in the series are moving one position forward in the alphabet order (F, K, P, U).
Applying the Pattern:
- The next letter in the series should be V (U + 1 = V).
- The next number should be 38 + 20 = 58.
- Therefore, the next element in the series is V58Z.
Final Answer:
- The missing element in the series is V58Z.
- Among the given options, the closest match is V118Z, which is the correct answer.
In a family of Six members, A, B, C, D, E and F. A and B are married, A is a male member. D is the son of C, who is the brother of A. E is the sister of D. B is the daughter-in-law of F, whose husband has died.How is C related to B?- a)Brother
- b)Brother-in-law
- c)Father-in-law
- d)Father
Correct answer is option 'B'. Can you explain this answer?
In a family of Six members, A, B, C, D, E and F. A and B are married, A is a male member. D is the son of C, who is the brother of A. E is the sister of D. B is the daughter-in-law of F, whose husband has died.
How is C related to B?
a)
Brother
b)
Brother-in-law
c)
Father-in-law
d)
Father
|
|
Lekshmi Datta answered |
Explanation:
Given Information:
- A and B are married.
- A is a male member.
- D is the son of C.
- C is the brother of A.
- E is the sister of D.
- B is the daughter-in-law of F.
- F's husband has died.
Relationship between C and B:
- Since A and B are married, C is the brother of A, which makes C the brother-in-law of B.
- Therefore, C is related to B as Brother-in-law.
In the following problems, there is one question and some statements given below the question. You have to decide whether the data given in the statements are sufficient to answer the question. Read all the statements carefully and find out which of the statements is/are sufficient to answer the given question. Choose the correct alternative for each question.How is Monika related to Praveen?Statement I: Ramesh is the father of Praveen and Monika is the Granddaughter of Sima.Statement II: Ramesh is only one son of Sima- a)Statement I alone is sufficient to answer the question
- b)Statement II alone is sufficient to answer the question
- c)Statement I and II together required to answer the question
- d)The data given in both statements are not sufficient to answer the question.
Correct answer is option 'C'. Can you explain this answer?
In the following problems, there is one question and some statements given below the question. You have to decide whether the data given in the statements are sufficient to answer the question. Read all the statements carefully and find out which of the statements is/are sufficient to answer the given question. Choose the correct alternative for each question.
How is Monika related to Praveen?
Statement I: Ramesh is the father of Praveen and Monika is the Granddaughter of Sima.
Statement II: Ramesh is only one son of Sima
a)
Statement I alone is sufficient to answer the question
b)
Statement II alone is sufficient to answer the question
c)
Statement I and II together required to answer the question
d)
The data given in both statements are not sufficient to answer the question.
|
|
Mita Mehta answered |
Statement I and II together required to answer the question
In these questions, statements are given followed by two conclusions I and II. You have to consider both the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions is/are definitely drawn from the given statements. Select answer as (a) If only I follows (b) If only II follows (c) If neither I nor II follows (d) If both I and II followStatements : All goats are wolves.Some wolves are tigers.Conclusions :I. Some goats are tigers.II. Some tigers which are wolves are not goats.- a)A
- b)B
- c)D
- d)C
Correct answer is option 'D'. Can you explain this answer?
In these questions, statements are given followed by two conclusions I and II. You have to consider both the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions is/are definitely drawn from the given statements. Select answer as (a) If only I follows (b) If only II follows (c) If neither I nor II follows (d) If both I and II follow
Statements :
All goats are wolves.
Some wolves are tigers.
Conclusions :
I. Some goats are tigers.
II. Some tigers which are wolves are not goats.
a)
A
b)
B
c)
D
d)
C
|
|
Constructing Careers answered |
Neither I nor II follow.
The height of an equilateral triangle is 4√3 cm, then what will be the area of the equilateral triangle?- a)16 √3
- b)16
- c)48√3
- d)50
Correct answer is option 'A'. Can you explain this answer?
The height of an equilateral triangle is 4√3 cm, then what will be the area of the equilateral triangle?
a)
16 √3
b)
16
c)
48√3
d)
50
|
Crack Gate answered |
Height = 4√3 cm
Thus, side of equilateral triangle = 8 cm
Area of equilateral triangle = √3 / 4 x 82 = 16 √3 cm2
How many hexagons are there in the figure given below?
- a)4
- b)5
- c)11
- d)8
Correct answer is option 'B'. Can you explain this answer?
How many hexagons are there in the figure given below?
a)
4
b)
5
c)
11
d)
8
|
|
Mita Mehta answered |
∴ Total hexagons= CDEKLM, CEUKMQ, CFHJMQ, BEUKNP, BFHJNP = 5
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