Sectional Test on Quantitative Techniques for CLAT UG [Part 10]
1. The average of 12 numbers is 48. If one number is replaced by another number which is 24 more than the original, what is the new average?
a) 50
b) 48
c) 49
d) 52
b) 48
c) 49
d) 52
2. An article is sold for ₹2,160 at a profit of 20%. What is its cost price?
a) ₹1,700
b) ₹1,800
c) ₹1,900
d) ₹2,000
b) ₹1,800
c) ₹1,900
d) ₹2,000
3. The ratio of boys to girls in a school is 3 : 5. If there are 640 students in total, how many girls are there?
a) 200
b) 300
c) 400
d) 500
b) 300
c) 400
d) 500
4. A train covers 420 km in 7 hours. What is its speed in m/s?
a) 15 m/s
b) 16.67 m/s
c) 18 m/s
d) 20 m/s
b) 16.67 m/s
c) 18 m/s
d) 20 m/s
5. The perimeter of a rectangle is 100 m. If its length is 3 times its breadth, find its area.
a) 600 sq m
b) 625 sq m
c) 700 sq m
d) 750 sq m
b) 625 sq m
c) 700 sq m
d) 750 sq m
6. What is the overall change in a town’s population if it grows by 10% in the first year and then declines by 10% in the subsequent year?
a) No change
b) 1% decrease
c) 2% increase
d) 1% increase
b) 1% decrease
c) 2% increase
d) 1% increase
7. A single ball is randomly selected from a container holding 5 red, 7 blue, and 8 green balls. Calculate the probability that the chosen ball is green.
a) ⅖
b) ⅘
c) 8/20
d) ¼
b) ⅘
c) 8/20
d) ¼
8. A group of six individuals has an average age of 34 years. If a seventh person is added to the group, the new average age increases to 36 years. Determine the age of the newly joined person.
a) 42 years
b) 48 years
c) 46 years
d) 50 years
b) 48 years
c) 46 years
d) 50 years
9. Two numbers are in the ratio 4 : 9. If their difference is 55, what is the larger number?
a) 80
b) 90
c) 99
d) 110
b) 90
c) 99
d) 110
10. The marked price of an article is ₹2,500. A shopkeeper offers a 20% discount on this price, yet still achieves a 25% profit. Determine the original cost price of the article.
a) ₹1,500
b) ₹1,600
c) ₹1,700
d) ₹1,800
b) ₹1,600
c) ₹1,700
d) ₹1,800
11. How long would it take 15 workers to complete a job that 9 workers can finish in 20 days?
a) 10 days
b) 12 days
c) 14 days
d) 15 days
b) 12 days
c) 14 days
d) 15 days
12. Given a set of 15 observations with an average of 28, and knowing that the average of the initial 9 of these observations is 24, determine the average value of the last 6 observations.
a) 30
b) 32
c) 34
d) 36
b) 32
c) 34
d) 36
13. A man saves 30% of his income. If his savings are ₹9,000, what is his income?
a) ₹27,000
b) ₹30,000
c) ₹32,000
d) ₹35,000
b) ₹30,000
c) ₹32,000
d) ₹35,000
14. What is the average speed of a car that completes the first half of a trip at 40 km/h and the remaining half at 80 km/h?
a) 53.3 km/h
b) 55 km/h
c) 58 km/h
d) 60 km/h
b) 55 km/h
c) 58 km/h
d) 60 km/h
15. The cost price of an article is ₹1,200. It is sold at a loss of 15%. What is the selling price?
a) ₹980
b) ₹1,000
c) ₹1,020
d) ₹1,050
b) ₹1,000
c) ₹1,020
d) ₹1,050
Answers
1. Correct Answer: A
Increase in total = 24
New avg = (48×12 + 24)/12 = 50
Increase in total = 24
New avg = (48×12 + 24)/12 = 50
2. Correct Answer: B
CP = 2160/120 × 100 = ₹1800
CP = 2160/120 × 100 = ₹1800
3. Correct Answer: C
Girls = (5/8) × 640 = 400
Girls = (5/8) × 640 = 400
4. Correct Answer: B
Speed = 420/7 = 60 km/h = 16.67 m/s
Speed = 420/7 = 60 km/h = 16.67 m/s
5. Correct Answer: B
Given Length = 3 × Breadth
So, 4 Breadth = 50
Breadth = 12.5 m
Length = 3 × 12.5 = 37.5 m
Area = Length × Breadth = 37.5 × 12.5 = 625 sq m
Given Length = 3 × Breadth
So, 4 Breadth = 50
Breadth = 12.5 m
Length = 3 × 12.5 = 37.5 m
Area = Length × Breadth = 37.5 × 12.5 = 625 sq m
6. Correct Answer: B
Net % = −(10×10)/100 = −1%
Net % = −(10×10)/100 = −1%
7. Correct Answer: A
Green = 8
Total = 20
Probability = 8/20 = ⅖
Green = 8
Total = 20
Probability = 8/20 = ⅖
8. Correct Answer: B
Original total = 6 × 34 = 204
New total = 7 × 36 = 252
Age added = 48 years
Original total = 6 × 34 = 204
New total = 7 × 36 = 252
Age added = 48 years
9. Correct Answer: C
5x = 55
x = 11
larger = 99
5x = 55
x = 11
larger = 99
10. Correct Answer: B
SP = 2000
CP = 2000/125×100 = ₹1600
SP = 2000
CP = 2000/125×100 = ₹1600
11. Correct Answer: B
9×20 = 15×x
x = 12 days
9×20 = 15×x
x = 12 days
12. Correct Answer: C
Remaining avg = (420 − 216)/6 = 34
Remaining avg = (420 − 216)/6 = 34
13. Correct Answer: B
Income = 9000 × 100/30 = ₹30,000
Income = 9000 × 100/30 = ₹30,000
14. Correct Answer: A
Avg speed = 2ab/(a+b) = 53.3 km/h
Avg speed = 2ab/(a+b) = 53.3 km/h
15. Correct Answer: C
SP = 85% of 1200 = ₹1020
SP = 85% of 1200 = ₹1020
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Adtiya Aryan
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