The Quantitative Techniques section of the CLAT UG typically comprises 10–14 questions, making up 10–12% of the total paper. It evaluates data interpretation skills through passage-based sets on ratios, percentages, and basic algebra, demanding accuracy, logic, and time efficiency, including quick calculations.
Questions
1. The average of 24 numbers is 50. If the average of 8 numbers is 42 and that of 10 numbers is 56, find the average of the remaining numbers.
a) 48
b) 49.3
c) 50.67
d) 54
b) 49.3
c) 50.67
d) 54
2. A sum amounts to ₹7,200 in 2 years and ₹9,000 in 5 years at simple interest. Find the rate of interest.
a) 10%
b) 12%
c) 15%
d) 20%
b) 12%
c) 15%
d) 20%
3. The ratio of two numbers is 5 : 9 and their HCF is 7. Find the larger number.
a) 45
b) 56
c) 59
d) 63
b) 56
c) 59
d) 63
4. A train covers a distance of 300 km. If its speed were increased by 20 km/h, it would take 1 hour less. Find the original speed.
a) 40 km/h
b) 50 km/h
c) 60 km/h
d) 75 km/h
b) 50 km/h
c) 60 km/h
d) 75 km/h
5. If the cost price of 20 articles equals the selling price of 16 articles, find the profit percentage.
a) 20%
b) 25%
c) 30%
d) 35%
b) 25%
c) 30%
d) 35%
6. A number is increased by 25%, decreased by 20%, and then increased by 20%. Find the net percentage change.
a) 20% increase
b) 25% increase
c) 30% increase
d) 28% increase
b) 25% increase
c) 30% increase
d) 28% increase
7. A box contains 4 red, 6 blue, and 10 green balls. Two balls are drawn without replacement. Find the probability that both are green.
a) 9/38
b) 18/95
c) 5/19
d) 10/19
b) 18/95
c) 5/19
d) 10/19
8. Milk and water are mixed in the ratio 3 : 2. If 15 litres of water are added, the ratio becomes 3 : 5. Find the original quantity of the mixture.
a) 25 L
b) 30 L
c) 35 L
d) 40 L
b) 30 L
c) 35 L
d) 40 L
9. Two numbers are in the ratio 7 : 11 and their difference is 48. Find the larger number.
a) 84
b) 96
c) 132
d) 168
b) 96
c) 132
d) 168
10. A boat travels 36 km downstream in 3 hours and 24 km upstream in 4 hours. Find the speed of the stream.
a) 2 km/h
b) 3 km/h
c) 4 km/h
d) 5 km/h
b) 3 km/h
c) 4 km/h
d) 5 km/h
11. The length of a rectangle increases by 25% and breadth decreases by 20%. Find the percentage change in area.
a) No change
b) 5% increase
c) 4% decrease
d) 10% decrease
b) 5% increase
c) 4% decrease
d) 10% decrease
12. The average of 15 numbers is 40. If 3 numbers 30, 40, and 50 are removed, find the new average.
a) 38
b) 39
c) 40
d) 41
b) 39
c) 40
d) 41
13. A trader marks his goods 50% above cost price and allows successive discounts of 20% and 10%. Find the profit percentage.
a) 8%
b) 10%
c) 12%
d) 15%
b) 10%
c) 12%
d) 15%
14. If the radius of a circle increases by 20%, find the percentage increase in its area.
a) 40%
b) 42%
c) 44%
d) 48%
b) 42%
c) 44%
d) 48%
15. The present ages of A and B are in the ratio 4 : 5. After 8 years, the ratio becomes 5 : 6. Find A’s present age.
a) 24
b) 32
c) 40
d) 48
b) 32
c) 40
d) 48
Answers
1. Correct Answer: C
Total = 24×50 = 1200
8 → 336, 10 → 560
Remaining = 1200 − (336+560) = 304
Avg = 304/6 = 50.67
Total = 24×50 = 1200
8 → 336, 10 → 560
Remaining = 1200 − (336+560) = 304
Avg = 304/6 = 50.67
2. Correct Answer: A
Difference = 9000 − 7200 = 1800 (3 yrs)
1 yr = 600
Principal = 7200 − 1200 = 6000
Rate = (600×100)/6000 = 10%
Difference = 9000 − 7200 = 1800 (3 yrs)
1 yr = 600
Principal = 7200 − 1200 = 6000
Rate = (600×100)/6000 = 10%
3. Correct Answer: D
Numbers = 5×7 = 35, 9×7 = 63
Larger = 63
Numbers = 5×7 = 35, 9×7 = 63
Larger = 63
4. Correct Answer: C
300/x − 300/(x+20) = 1
x = 60 km/h
300/x − 300/(x+20) = 1
x = 60 km/h
5. Correct Answer: B
CP/SP = 16/20
Profit = 25%
CP/SP = 16/20
Profit = 25%
6. Correct Answer: A
100 → 125 → 100 → 120
Increase = 20%
100 → 125 → 100 → 120
Increase = 20%
7. Correct Answer: A
(10/20)(9/19) = 90/380 = 18/76 = 9/38
(10/20)(9/19) = 90/380 = 18/76 = 9/38
8. Correct Answer: A
Original parts = 5
1 part = 5 → total = 25 L
Original parts = 5
1 part = 5 → total = 25 L
9. Correct Answer: C
4 parts = 48
1 part = 12
Larger = 11×12 = 132
4 parts = 48
1 part = 12
Larger = 11×12 = 132
10. Correct Answer: B
Down = 12
Up = 6
Stream = (12−6)/2 = 3 km/h
Down = 12
Up = 6
Stream = (12−6)/2 = 3 km/h
11. Correct Answer: A
1.25 × 0.8 = 1 → No change
1.25 × 0.8 = 1 → No change
12. Correct Answer: C
Total = 600
Remove = 120
Remaining = 480
Avg = 480/12 = 40
Total = 600
Remove = 120
Remaining = 480
Avg = 480/12 = 40
13. Correct Answer: A
100 → 150
After 20% → 120
After 10% → 108
SP = 108
Profit = 108 − 100 = 8
Profit % = (8/100) × 100 = 8%
100 → 150
After 20% → 120
After 10% → 108
SP = 108
Profit = 108 − 100 = 8
Profit % = (8/100) × 100 = 8%
14. Correct Answer: C
(1.2)² = 1.44 → 44%
(1.2)² = 1.44 → 44%
15. Correct Answer: B
(4x+8)/(5x+8)=5/6
x=8
A = 4×8 = 32
(4x+8)/(5x+8)=5/6
x=8
A = 4×8 = 32
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Adtiya Aryan
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