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 30 numbers is 52. If the average of 10 numbers is 60 and that of another 12 numbers is 50, find the average of the remaining numbers.
a. 40
b. 45
c. 50
d. 55
b. 45
c. 50
d. 55
2. A sum becomes ₹8,400 in 2 years and ₹9,600 in 4 years at simple interest. Find the rate.
a. 10%
b. 12%
c. 15%
d. 20%
b. 12%
c. 15%
d. 20%
3. The ratio of two numbers is 8:11 and their difference is 33. Find the smaller number.
a. 88
b. 82
c. 80
d. 84
b. 82
c. 80
d. 84
4. A train 180 m long crosses a pole in 9 seconds. Find its speed in km/h.
a. 60 km/h
b. 72 km/h
c. 80 km/h
d. 90 km/h
b. 72 km/h
c. 80 km/h
d. 90 km/h
5. If CP of 24 articles = SP of 20 articles, find profit %.
a. 15%
b. 20%
c. 25%
d. 30%
b. 20%
c. 25%
d. 30%
6. A number is increased by 50% and then decreased by 20%. What is the net change?
a. 20% increase
b. 10% increase
c. No change
d. 5% increase
b. 10% increase
c. No change
d. 5% increase
7. Two balls are drawn without replacement from 4 red, 6 blue balls. Find probability both are red.
a. 1/5
b. 2/15
c. 1/3
d. 4/15
b. 2/15
c. 1/3
d. 4/15
8. Milk = 3:2. If 10 L water is added, the ratio becomes 3:4. Find the original 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 ratio 7:9 and their sum is 128. Find the larger number.
a. 56
b. 64
c. 72
d. 80
b. 64
c. 72
d. 80
10. A boat goes 24 km downstream in 2 hrs and upstream in 4 hrs. Find the stream speed.
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 is increased by 20% and its breadth is decreased by 25%. Find the net change in its area.
a. No change
b. 5% decrease
c. 10% decrease
d. 15% decrease
b. 5% decrease
c. 10% decrease
d. 15% decrease
12. The average of 16 numbers is 40. Removing 2 numbers (30, 50), find the new average.
a. 40
b. 39
c. 41
d. 38
b. 39
c. 41
d. 38
13. A trader marks his goods 25% above the CP and allows a discount of 20%. Find the profit %.
a. 0%
b. 5%
c. 10%
d. 8%
b. 5%
c. 10%
d. 8%
14. If a circle’s radius is increased by 10%, what will be the percentage increase in its area?
a. 10%
b. 20%
c. 21%
d. 25%
b. 20%
c. 21%
d. 25%
15. The ratio of the ages of A and B is 3:4. After 5 years, the ratio becomes 4:5. Find A’s present age.
a. 15
b. 20
c. 25
d. 30
b. 20
c. 25
d. 30
Answers
1. Correct Answer: B
Total = 30×52 = 1560
Known = 600 + 600 = 1200
Remaining = 360 → Avg = 360/8 = 45
Total = 30×52 = 1560
Known = 600 + 600 = 1200
Remaining = 360 → Avg = 360/8 = 45
2. Correct Answer: C
2-year SI = 1200 → yearly = 600
Principal = 8400 − 1200 = 7200
Rate = (600×100)/7200 = 15%
2-year SI = 1200 → yearly = 600
Principal = 8400 − 1200 = 7200
Rate = (600×100)/7200 = 15%
3. Correct Answer: A
3 parts = 33 → 1 part = 11
Smaller = 8×11 = 88
3 parts = 33 → 1 part = 11
Smaller = 8×11 = 88
4. Correct Answer: B
Speed = 180/9 = 20 m/s = 72 km/h
Speed = 180/9 = 20 m/s = 72 km/h
5. Correct Answer: B
SP/CP = 24/20 = 1.2 → 20% profit
SP/CP = 24/20 = 1.2 → 20% profit
6. Correct Answer: A
100 → 150 → 120 → 20% increase
100 → 150 → 120 → 20% increase
7. Correct Answer: B
(4/10)×(3/9) = 12/90 = 2/15
(4/10)×(3/9) = 12/90 = 2/15
8. Correct Answer: A
Water ↑ 2 parts = 10 → 1 part = 5
Total = 5 parts → 25 L
Water ↑ 2 parts = 10 → 1 part = 5
Total = 5 parts → 25 L
9. Correct Answer: C
16 parts = 128 → 1 part = 8
Larger = 9×8 = 72
16 parts = 128 → 1 part = 8
Larger = 9×8 = 72
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: C
1.2 × 0.75 = 0.9 → 10% decrease
1.2 × 0.75 = 0.9 → 10% decrease
12. Correct Answer: A
Total = 640
Remove = 80 → new total = 560
Avg = 560/14 = 40
Total = 640
Remove = 80 → new total = 560
Avg = 560/14 = 40
13. Correct Answer: A
1.25 × 0.8 = 1 → no profit (0%)
1.25 × 0.8 = 1 → no profit (0%)
14. Correct Answer: C
(1.1)² = 1.21 → 21%
(1.1)² = 1.21 → 21%
15. Correct Answer: A
(3x+5)/(4x+5)=⅘
15x+25=16x+20 → x=5
A = 3×5 = 15
(3x+5)/(4x+5)=⅘
15x+25=16x+20 → x=5
A = 3×5 = 15
Subscribe for updates
Join 10,000+ subscribers.
AD
Adtiya Aryan
Contributing author
Have a doubt about this?Ask Doubts
