All Exams >
CLAT >
4 Months Preparation Course for CLAT UG >
All Questions
All questions of Unitary Method for CLAT Exam
If (12n + 1) is divisible by 13 then n is - a) Any even integer
- b)Any odd integer
- c)1 only
- d)12 only
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
If (12n + 1) is divisible by 13 then n is
a)
Any even integer
b)
Any odd integer
c)
1 only
d)
12 only
e)
None of these
|
Nishant Upadhyay answered |
the answer should be B I guess because for odd values of N the expression gets divisible by 13.
10 men or 18 women can do a piece of work in 38 days. In how many days will 6 men and 12 women do it.- a)24 days
- b)30 days
- c)36 days
- d)40 days
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
10 men or 18 women can do a piece of work in 38 days. In how many days will 6 men and 12 women do it.
a)
24 days
b)
30 days
c)
36 days
d)
40 days
e)
None of these
|
Suyash Kant answered |
10 men take 38 days, so the total work is 10x38=380 man days
18 women take the same time. Total work: 18x38=684 woman-days
6 men do 6/380, or 3/190 of the work per day
12 women do 12/684, or 1/57 of the work per day
Together, they do:
171/10830 +190/10830=361/10,830 per day
Total time: 10830/361=30 days
If 12 men get Rs. 4200 for 30 days as their wages, find out the wages of 18 men for 24 days.- a)Rs. 5000
- b)Rs. 4650
- c)Rs. 4040
- d)Rs. 5400
- e)None of these
Correct answer is option 'E'. Can you explain this answer?
If 12 men get Rs. 4200 for 30 days as their wages, find out the wages of 18 men for 24 days.
a)
Rs. 5000
b)
Rs. 4650
c)
Rs. 4040
d)
Rs. 5400
e)
None of these
|
Amulya Elluru answered |
1 men wage for 1 day is 35/3
So ans is 18*24*35/3=5040
A man is paid Rs. 20 for each day he works and forfeits Rs. 3 for each day he is idle. At the end of 60 days he gets Rs. 280. Then he was idle for- a)20 days
- b)25 days
- c)30 days
- d)40 days
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
A man is paid Rs. 20 for each day he works and forfeits Rs. 3 for each day he is idle. At the end of 60 days he gets Rs. 280. Then he was idle for
a)
20 days
b)
25 days
c)
30 days
d)
40 days
e)
None of these
|
Sounak Malik answered |
Suppose the worker remained idle for x days. Then,
he worked for (60 – x) days.
20 (60 – x) – 3x = 280 � 1200 – 23x = 280
23x = 920 => x = 40
So, the worker remained idle for 40 days.
If 30 men working 18 hours a day can reap a field in 32 days, how many days will 36 men take to reap the same field working 16 hours a day.- a)24 days
- b)28 days
- c)30 days
- d)32 days
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
If 30 men working 18 hours a day can reap a field in 32 days, how many days will 36 men take to reap the same field working 16 hours a day.
a)
24 days
b)
28 days
c)
30 days
d)
32 days
e)
None of these
|
Aishwarya Rajput answered |
M1 × T1 × D1 = M2 × T2 × D2
30×18×32 = 36×26×D2
D2 = 17280/576
D2 = 30days
therefore option 'C' is correct
30×18×32 = 36×26×D2
D2 = 17280/576
D2 = 30days
therefore option 'C' is correct
Naveen purchased two oranges, 3 apples and 5 bananas and paid Rs 40. Had Naveen purchased 3 oranges, 5 apples and 9 bananas, He would have to pay Rs 64. Gagan demanded only 1 orange, 1 apple and 1 banana. If Naveen purchased only what was demanded by Gagan, then how much would he have paid (in Rs)?- a)16
- b)28
- c)36
- d)24
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
Naveen purchased two oranges, 3 apples and 5 bananas and paid Rs 40. Had Naveen purchased 3 oranges, 5 apples and 9 bananas, He would have to pay Rs 64. Gagan demanded only 1 orange, 1 apple and 1 banana. If Naveen purchased only what was demanded by Gagan, then how much would he have paid (in Rs)?
a)
16
b)
28
c)
36
d)
24
e)
None of these
|
Arya Roy answered |
Let the cost of each orange, apple and banana be o, a and b respectively.
Given, 2(o)+3a+5b=40 -------- (i)
3(o)+5a+9b=64-------- (ii)
From 2(i) - (ii):
⇒ o+a+b= 16
Three fourth of two third of a number is 782. What is three fourth of one fourth of the same number- a)293.25
- b)432.6
- c)342.6
- d)243
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
Three fourth of two third of a number is 782. What is three fourth of one fourth of the same number
a)
293.25
b)
432.6
c)
342.6
d)
243
e)
None of these
|
Nikita Singh answered |
Acc to given data,
let the no. be y,
3/4×2/3y = 782
y = 1564
3/4×1/4×1564 = 293.25
let the no. be y,
3/4×2/3y = 782
y = 1564
3/4×1/4×1564 = 293.25
A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is- a)220030
- b)22030
- c)1220
- d)1250
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is
a)
220030
b)
22030
c)
1220
d)
1250
e)
None of these
|
Nishant Upadhyay answered |
Let the number be N
the quotient, in this case, would be = 2(555-445)= 2 x 110 = 220
The Divisor would be = 555+445 = 1000
Remainder = 30
therefore number N would be = Divisor x Quotient + Remainder
which would be = 1000 x 220 + 30 = 220030
If 15 chair cost Rs. 234, what will be the cost of 70 chairs.- a)Rs. 1092
- b)Rs. 1225
- c)Rs. 1050
- d)Rs. 546
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
If 15 chair cost Rs. 234, what will be the cost of 70 chairs.
a)
Rs. 1092
b)
Rs. 1225
c)
Rs. 1050
d)
Rs. 546
e)
None of these
|
Aishwarya Rajput answered |
Price of 15 chairs = ₹234
So, Price of 1 chair = 234/15 => ₹15.6
Price of 70 chairs will be 15.6 × 70 = ₹1092
Given that the number of factors of 12 are 6. The number of factors of 24 must be- a)7
- b)8
- c)9
- d)12
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
Given that the number of factors of 12 are 6. The number of factors of 24 must be
a)
7
b)
8
c)
9
d)
12
e)
None of these
|
Aishwarya Rajput answered |
Factors of 12 are - 1, 2,3,4,6,12 hence total factors are 6 in number. Same in case of 12...Factors of 12 - 1,2,3,4,6,8,12,24 so they are all 8 in number therefore option 'B' is correct
If 36 men can do a piece of work in 25 days , in how days will 15 men do it ?- a)50
- b)56
- c)60
- d)72
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
If 36 men can do a piece of work in 25 days , in how days will 15 men do it ?
a)
50
b)
56
c)
60
d)
72
e)
None of these
|
Rohan Chauhan answered |
Number of days taken by 36 min =25
Number of days taken by 15 min = x
=> 15xX=36X2515xX=36X25
x=36X2515x=36X2515
x=60x=60
Hence 15 men can do it in 60 hours .
A number divided by 68 gives the quotient 269 and remainder zero. If the same number is divided by 67, the remainder is- a)0
- b)1
- c)2
- d)3
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
A number divided by 68 gives the quotient 269 and remainder zero. If the same number is divided by 67, the remainder is
a)
0
b)
1
c)
2
d)
3
e)
None of these
|
Richa Bharti answered |
269×68=18292
18292÷67=273(quotient) and 1(remainder)
18292÷67=273(quotient) and 1(remainder)
A uniform rod of length 45 m weights 171 kg. what will be the weight of 12 m of the same rod- a)45.6 kg
- b)45 kg
- c)42.5 kg
- d)49 kg
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
A uniform rod of length 45 m weights 171 kg. what will be the weight of 12 m of the same rod
a)
45.6 kg
b)
45 kg
c)
42.5 kg
d)
49 kg
e)
None of these
|
|
Prakhya Shrivastava answered |
Given, weight of 45m rod is 171kg
Then weight of 1m rod = 171/45 = 3.8kg
Now weight of 12m same rod should be 12×3.8 = 45.6
Hence option (a) is correct.
A number consists of two digits whose sum is 8. If 18 is subtracted from the number, the digits inter change their places. What is the number.- a)62
- b)26
- c)35
- d)53
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
A number consists of two digits whose sum is 8. If 18 is subtracted from the number, the digits inter change their places. What is the number.
a)
62
b)
26
c)
35
d)
53
e)
None of these
|
Aarav Sharma answered |
Problem Statement:
A number consists of two digits whose sum is 8. If 18 is subtracted from the number, the digits interchange their places. What is the number?
Approach:
Let's assume that the number is 10x + y, where x and y are the digits of the number.
According to the problem statement, x + y = 8 and (10x + y) - 18 = 10y + x.
Simplifying the second equation, we get 9x - 9y = 18, which further simplifies to x - y = 2.
Now we have two equations:
x + y = 8
x - y = 2
Solving these equations, we get x = 5 and y = 3.
Therefore, the number is 53.
Answer: Option D) 53.
A number consists of two digits whose sum is 8. If 18 is subtracted from the number, the digits interchange their places. What is the number?
Approach:
Let's assume that the number is 10x + y, where x and y are the digits of the number.
According to the problem statement, x + y = 8 and (10x + y) - 18 = 10y + x.
Simplifying the second equation, we get 9x - 9y = 18, which further simplifies to x - y = 2.
Now we have two equations:
x + y = 8
x - y = 2
Solving these equations, we get x = 5 and y = 3.
Therefore, the number is 53.
Answer: Option D) 53.
The product of two numbers is 24 times the difference of these numbers. If the sum of these numbers is 14, find the larger number.- a)8
- b)56
- c)18
- d)6
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
The product of two numbers is 24 times the difference of these numbers. If the sum of these numbers is 14, find the larger number.
a)
8
b)
56
c)
18
d)
6
e)
None of these
|
Shanaya Sharma answered |
Xy = 24(x - y) and. x+y = 14
xy = 24x - 24y => x(y - 24) = -24y
=> x= 24y / (24 - y)
24y / (24 - y) +y = 14
24y + 24y - y^2 = 14(24 - y)
48y - y^2 = 336 - 14y
y^2 - 48y - 14y + 336 = 0
y^2 - 62y + 336 = 0
y^2 - 56y - 6y + 336 = 0
y(y - 56) - 6(y - 56) = 0
y=6 or 56
then x=8 or -42
but x>y so x=8.
correct ans - a)8.
xy = 24x - 24y => x(y - 24) = -24y
=> x= 24y / (24 - y)
24y / (24 - y) +y = 14
24y + 24y - y^2 = 14(24 - y)
48y - y^2 = 336 - 14y
y^2 - 48y - 14y + 336 = 0
y^2 - 62y + 336 = 0
y^2 - 56y - 6y + 336 = 0
y(y - 56) - 6(y - 56) = 0
y=6 or 56
then x=8 or -42
but x>y so x=8.
correct ans - a)8.
One fourth of a number exceeds its one – seventh by 24. What is the number- a)422
- b)112
- c)242
- d)224
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
One fourth of a number exceeds its one – seventh by 24. What is the number
a)
422
b)
112
c)
242
d)
224
e)
None of these
|
|
Rohan Chauhan answered |
Let the number be ‘x’.
According to the conditions given one by four of ‘x’ is greater than one by seven of ‘x’ by 24.
Which means if we add 24 to one by seven of ‘x’ we get one by four of ‘x’.
x/4 = x/7 + 24
x/4 - x/7 = 24
(7x - 4x)/7(4) = 24
3x/28 = 24
x = 28(24)/3
x = 8(28)
x = 224
The sum and product of two numbers is 12 and 35 respectively. What is the sum of their reciprocals?- a)12
- b)35
- c)12/35
- d)35/12
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
The sum and product of two numbers is 12 and 35 respectively. What is the sum of their reciprocals?
a)
12
b)
35
c)
12/35
d)
35/12
e)
None of these
|
|
Kunal Vats answered |
Simple, x+y = 12 and xy = 35.
now 2xy= 70, and (x+y)²=144.
x²+y²=(x+y)² -2xy=74. so, x=7 &y=5.
now, 1/x +1/y= 1/7+1/5 = 12/35 Ans.
now 2xy= 70, and (x+y)²=144.
x²+y²=(x+y)² -2xy=74. so, x=7 &y=5.
now, 1/x +1/y= 1/7+1/5 = 12/35 Ans.
What is the value of two – fifth of 60 % of 320?- a)37.4
- b)38.4
- c)78.6
- d)76.6
- e)None of these
Correct answer is option 'E'. Can you explain this answer?
What is the value of two – fifth of 60 % of 320?
a)
37.4
b)
38.4
c)
78.6
d)
76.6
e)
None of these
|
Shanaya Sharma answered |
(2/5) * 60% * 320
= (2/5) * (60/100) * 320
= (2/5) * 6 * 32
= (2*6*32)/5
= 384/5
= 76.8
thus, e) none of these is the right ans.
= (2/5) * (60/100) * 320
= (2/5) * 6 * 32
= (2*6*32)/5
= 384/5
= 76.8
thus, e) none of these is the right ans.
The numerator of a certain fraction is increased by 100% and the denominator is increased by 200%. The new fraction thus farmed is 4/21. What is the original fraction?- a)2/7
- b)3/7
- c)2/5
- d)4/7
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
The numerator of a certain fraction is increased by 100% and the denominator is increased by 200%. The new fraction thus farmed is 4/21. What is the original fraction?
a)
2/7
b)
3/7
c)
2/5
d)
4/7
e)
None of these
|
Sangey Lhamu answered |
Let the fraction be x/y
A/Q,
numerator increased by 100%, i.e, x
and denominator increased be 200%, i.e, 2y
so the fraction is (x+x)/( y+2y)= 4/21
solving this we get ,x/y =2/7
A/Q,
numerator increased by 100%, i.e, x
and denominator increased be 200%, i.e, 2y
so the fraction is (x+x)/( y+2y)= 4/21
solving this we get ,x/y =2/7
If a number is multiplied by three – fourth of itself, value so obtained is 1728. What is the number.- a)38
- b)44
- c)46
- d)58
- e)None of these
Correct answer is option 'E'. Can you explain this answer?
If a number is multiplied by three – fourth of itself, value so obtained is 1728. What is the number.
a)
38
b)
44
c)
46
d)
58
e)
None of these
|
Sagar Sharma answered |
Problem Analysis:
Let's assume the number we are looking for is x. According to the given condition, if we multiply x by three fourth of itself, we get 1728. Mathematically, this can be represented as:
x * (3/4) * x = 1728
Solution:
To solve the equation, we need to follow these steps:
Step 1: Simplify the equation
To simplify the equation, we can multiply the coefficients and variables:
(3/4) * x^2 = 1728
Step 2: Remove the fraction
To remove the fraction, we can multiply both sides of the equation by 4:
4 * (3/4) * x^2 = 4 * 1728
3 * x^2 = 6912
Step 3: Solve for x
To solve for x, we can divide both sides of the equation by 3:
(3 * x^2) / 3 = 6912 / 3
x^2 = 2304
Step 4: Take the square root
To find the value of x, we can take the square root of both sides of the equation:
√(x^2) = √2304
x = ±48
Step 5: Check the solution
We obtained two solutions for x: +48 and -48. However, the question specifies that the number is positive, so the correct solution is x = 48.
Conclusion:
The number that satisfies the given condition is 48. Therefore, the correct answer is option E) None of these.
Let's assume the number we are looking for is x. According to the given condition, if we multiply x by three fourth of itself, we get 1728. Mathematically, this can be represented as:
x * (3/4) * x = 1728
Solution:
To solve the equation, we need to follow these steps:
Step 1: Simplify the equation
To simplify the equation, we can multiply the coefficients and variables:
(3/4) * x^2 = 1728
Step 2: Remove the fraction
To remove the fraction, we can multiply both sides of the equation by 4:
4 * (3/4) * x^2 = 4 * 1728
3 * x^2 = 6912
Step 3: Solve for x
To solve for x, we can divide both sides of the equation by 3:
(3 * x^2) / 3 = 6912 / 3
x^2 = 2304
Step 4: Take the square root
To find the value of x, we can take the square root of both sides of the equation:
√(x^2) = √2304
x = ±48
Step 5: Check the solution
We obtained two solutions for x: +48 and -48. However, the question specifies that the number is positive, so the correct solution is x = 48.
Conclusion:
The number that satisfies the given condition is 48. Therefore, the correct answer is option E) None of these.
The sum of 18 % of a number and 6% of the same number is 492. What is 12% of that number?- a)234
- b)242
- c)256
- d)264
- e)None of these
Correct answer is option 'E'. Can you explain this answer?
The sum of 18 % of a number and 6% of the same number is 492. What is 12% of that number?
a)
234
b)
242
c)
256
d)
264
e)
None of these
|
|
Aarav Sharma answered |
To solve this problem, let's assume the number as 'x'.
Given:
18% of the number + 6% of the number = 492
Let's calculate the equation step by step.
Step 1: Convert percentages to decimals
We know that 18% is equivalent to 0.18 (18/100) and 6% is equivalent to 0.06 (6/100).
Step 2: Write the equation
0.18x + 0.06x = 492
Step 3: Combine like terms
0.24x = 492
Step 4: Solve for x
Divide both sides of the equation by 0.24 to isolate x:
x = 492 / 0.24
x ≈ 2050
Therefore, the number is approximately 2050.
Now, we need to find 12% of this number.
Step 5: Calculate 12% of the number
To find 12% of 2050, we multiply the number by 0.12 (12/100):
0.12 * 2050 ≈ 246
Hence, 12% of the number is approximately 246.
Therefore, the correct answer is option 'E' (None of these), as none of the given options match the calculated value of 246.
Given:
18% of the number + 6% of the number = 492
Let's calculate the equation step by step.
Step 1: Convert percentages to decimals
We know that 18% is equivalent to 0.18 (18/100) and 6% is equivalent to 0.06 (6/100).
Step 2: Write the equation
0.18x + 0.06x = 492
Step 3: Combine like terms
0.24x = 492
Step 4: Solve for x
Divide both sides of the equation by 0.24 to isolate x:
x = 492 / 0.24
x ≈ 2050
Therefore, the number is approximately 2050.
Now, we need to find 12% of this number.
Step 5: Calculate 12% of the number
To find 12% of 2050, we multiply the number by 0.12 (12/100):
0.12 * 2050 ≈ 246
Hence, 12% of the number is approximately 246.
Therefore, the correct answer is option 'E' (None of these), as none of the given options match the calculated value of 246.
The difference between two numbers is 18. If 4 times the second number is less than three times the first number by 18, what is the sum of these two numbers.- a)100
- b)80
- c)86
- d)92
- e)None of these
Correct answer is option 'E'. Can you explain this answer?
The difference between two numbers is 18. If 4 times the second number is less than three times the first number by 18, what is the sum of these two numbers.
a)
100
b)
80
c)
86
d)
92
e)
None of these
|
|
Aarav Sharma answered |
Given:
- The difference between two numbers is 18.
- 4 times the second number is less than three times the first number by 18.
To find: The sum of these two numbers.
Let's assume the first number as x and the second number as y.
According to the first condition,
x - y = 18 ---- (1)
According to the second condition,
3x - 4y = 18
3x = 4y + 18
x = (4y + 18)/3
Substituting the value of x in equation (1),
(4y + 18)/3 - y = 18
4y + 18 - 3y = 54
y = 36
Substituting the value of y in equation (1),
x - 36 = 18
x = 54
Therefore, the sum of these two numbers is x + y = 54 + 36 = 90.
Hence, the correct answer is option (E) None of these.
- The difference between two numbers is 18.
- 4 times the second number is less than three times the first number by 18.
To find: The sum of these two numbers.
Let's assume the first number as x and the second number as y.
According to the first condition,
x - y = 18 ---- (1)
According to the second condition,
3x - 4y = 18
3x = 4y + 18
x = (4y + 18)/3
Substituting the value of x in equation (1),
(4y + 18)/3 - y = 18
4y + 18 - 3y = 54
y = 36
Substituting the value of y in equation (1),
x - 36 = 18
x = 54
Therefore, the sum of these two numbers is x + y = 54 + 36 = 90.
Hence, the correct answer is option (E) None of these.
is equal toChapter doubts & questions for Unitary Method - 4 Months Preparation Course for CLAT UG 2025 is part of CLAT exam preparation. The chapters have been prepared according to the CLAT exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for CLAT 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
Chapter doubts & questions of Unitary Method - 4 Months Preparation Course for CLAT UG in English & Hindi are available as part of CLAT exam.
Download more important topics, notes, lectures and mock test series for CLAT Exam by signing up for free.
4 Months Preparation Course for CLAT UG
283 videos|1003 docs|331 tests
|
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup