1. The average of 16 numbers is 35. If the average of 6 of them is 30, what is the average of the remaining numbers?
a. 36
b. 37
c. 38
d. 39
b. 37
c. 38
d. 39
2. A sum amounts to ₹5,400 in 2 years and ₹6,300 in 4 years at simple interest. Find the principal.
a. ₹3,600
b. ₹3,900
c. ₹4,200
d. ₹4,500
b. ₹3,900
c. ₹4,200
d. ₹4,500
3. The ratio of two numbers is 5 : 8 and their difference is 36. Find the smaller number.
a. 45
b. 50
c. 60
d. 72
b. 50
c. 60
d. 72
4. A train covers 300 km in 5 hours. How long will it take to cover 420 km at the same speed?
a. 6 hours
b. 7 hours
c. 7.5 hours
d. 8 hours
b. 7 hours
c. 7.5 hours
d. 8 hours
5. If the cost price of 12 articles equals the selling price of 10 articles, find the profit percentage.
a. 10%
b. 15%
c. 20%
d. 25%
b. 15%
c. 20%
d. 25%
6. Calculate the net percentage change of a value that is first increased by 30% and subsequently reduced by 20%.
a. 4% increase
b. 2% increase
c. 4% decrease
d. No change
b. 2% increase
c. 4% decrease
d. No change
7. A bag contains 4 red, 6 blue, and 10 green balls. What is the probability of drawing a green ball?
a. ½
b. ⅖
c. ⅗
d. ¼
b. ⅖
c. ⅗
d. ¼
8. Milk and water are mixed in the ratio 3 : 2. If 10 litres of water are added, the ratio becomes 3 : 4. Find the original quantity.
a. 25 L
b. 30 L
c. 40 L
d. 50 L
b. 30 L
c. 40 L
d. 50 L
9. Two numbers are in the ratio 7 : 9. If their sum is 256, find the larger number.
a. 112
b. 126
c. 144
d. 168
b. 126
c. 144
d. 168
10. A boat travels 24 km downstream in 2 hours and the same distance upstream in 3 hours. Find the speed of the stream.
a. 1 km/h
b. 2 km/h
c. 3 km/h
d. 4 km/h
b. 2 km/h
c. 3 km/h
d. 4 km/h
11. The length of a rectangle increases by 20% and breadth decreases by 10%. Find the net change in area.
a. 8% increase
b. 10% increase
c. 5% decrease
d. No change
b. 10% increase
c. 5% decrease
d. No change
12. The average of 10 numbers is 25. If one number 45 is replaced by 15, what is the new average?
a. 22
b. 23
c. 24
d. 25
b. 23
c. 24
d. 25
13. A man spends 60% of his income. If his savings are ₹8,000, find his income.
a. ₹16,000
b. ₹18,000
c. ₹20,000
d. ₹22,000
b. ₹18,000
c. ₹20,000
d. ₹22,000
14. If the radius of a circle is doubled, by what percentage does the area increase?
a. 100%
b. 200%
c. 300%
d. 400%
b. 200%
c. 300%
d. 400%
15. The present ages of A and B are in the ratio 3 : 4. After 5 years, the ratio becomes 4 : 5. Find A’s present age.
a. 15 years
b. 18 years
c. 20 years
d. 24 years
b. 18 years
c. 20 years
d. 24 years
Answers
1. Correct Answer: B
Total = 16×35 = 560
6 numbers = 180
Remaining = 380
Avg = 380/10 = 37
Total = 16×35 = 560
6 numbers = 180
Remaining = 380
Avg = 380/10 = 37
2. Correct Answer: B
Difference = 900 (2 yrs)
1 yr = 45
Principal = 5400 − 900 = ₹3900
Difference = 900 (2 yrs)
1 yr = 45
Principal = 5400 − 900 = ₹3900
3. Correct Answer: C
3 parts = 36 → 1 part = 12
Smaller = 5×12 = 60
3 parts = 36 → 1 part = 12
Smaller = 5×12 = 60
4. Correct Answer: B
Speed = 300/5 = 60
Time = 420/60 = 7 hrs
Speed = 300/5 = 60
Time = 420/60 = 7 hrs
5. Correct Answer: C
CP/SP = 10/12
Profit = 20%
CP/SP = 10/12
Profit = 20%
6. Correct Answer: A
100 → 130 → 104
Increase = 4%
100 → 130 → 104
Increase = 4%
7. Correct Answer: A
Green = 10
Total = 20
Probability = 10/20 = ½
Green = 10
Total = 20
Probability = 10/20 = ½
8. Correct Answer: A
Water ↑ 2 parts = 10
1 part = 5
Total = 5×5 = 25 L
Water ↑ 2 parts = 10
1 part = 5
Total = 5×5 = 25 L
9. Correct Answer: C
Total parts = 16
1 part = 16
Larger = 9×16 = 144
Total parts = 16
1 part = 16
Larger = 9×16 = 144
10. Correct Answer: B
Down = 12
Up = 8
Stream = (12−8)/2 = 2 km/h
Down = 12
Up = 8
Stream = (12−8)/2 = 2 km/h
11. Correct Answer: A
1.2 × 0.9 = 1.08 → 8% increase
1.2 × 0.9 = 1.08 → 8% increase
12. Correct Answer: A
Total = 250
New total = 250 − 30 = 220
Avg = 22
Total = 250
New total = 250 − 30 = 220
Avg = 22
13. Correct Answer: C
Savings = 40%
Income = 8000×100/40 = ₹20000
Savings = 40%
Income = 8000×100/40 = ₹20000
14. Correct Answer: C
Area ∝ r²
2² = 4 → increase = 300%
Area ∝ r²
2² = 4 → increase = 300%
15. Correct Answer: A
(3x+5)/(4x+5)=4/5
x=5
A = 3×5 = 15 years
(3x+5)/(4x+5)=4/5
x=5
A = 3×5 = 15 years
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Adtiya Aryan
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