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The MCQs below are drawn from the Mathematics subject category.
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7811
A rope makes 70 rounds of a cylinder with base radius 14 cm. How many times can it go round a cylinder with base radius 20 cm?
A. 40
B. 45
C. 49
D. 50
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Explanation
Length of rope = Rounds * Circumference = N * 2*pi*R. Since length is constant, N1 * R1 = N2 * R2. 70 * 14 = x * 20. x = (70 * 14) / 20 = 49.
7812
If 20 pumps can empty a reservoir in 12 hours, how many hours will it take 15 pumps to empty the same reservoir?
A. 15 hours
B. 16 hours
C. 18 hours
D. 20 hours
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Explanation
Inverse proportion: M1 * H1 = M2 * H2. 20 * 12 = 15 * x. x = (20 * 12) / 15 = 240 / 15 = 16 hours.
7813
If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:
A. 4 days
B. 5 days
C. 6 days
D. 8 days
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Explanation
(6M + 8B) * 10 = (26M + 48B) * 2. 60M + 80B = 52M + 96B. 8M = 16B => 1M = 2B. Work = (6*2 + 8)*10 = 200 boy-days. 15M + 20B = 30B + 20B = 50 boys. Days = 200 / 50 = 4 days.
7814
A garrison has provision for 1000 men for 30 days. If 200 more men join them, the provision will last for:
A. 20 days
B. 22 days
C. 25 days
D. 28 days
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Explanation
M1 * D1 = M2 * D2. 1000 * 30 = 1200 * x. x = (1000 * 30) / 1200 = 30000 / 1200 = 25 days.
7815
If 42 persons consume 144 kg of wheat in 15 days, in how many days will 30 persons consume 48 kg of wheat?
A. 6 days
B. 7 days
C. 8 days
D. 9 days
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Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (42 * 15) / 144 = (30 * x) / 48. 630 / 144 = 30x / 48. 35/8 = 5x/8. 5x = 35. x = 7 days.
7816
If 18 binders bind 900 books in 10 days, how many binders will be required to bind 660 books in 12 days?
A. 9
B. 11
C. 13
D. 15
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Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (18 * 10) / 900 = (x * 12) / 660. 180 / 900 = 12x / 660. 1/5 = 12x / 660. 12x = 660 / 5 = 132. x = 132 / 12 = 11 binders.
7817
If a man can read 20 pages in 15 minutes, how many pages can he read in 2 hours at the same speed?
A. 120
B. 140
C. 150
D. 160
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Explanation
2 hours = 120 minutes. Direct proportion: 20 / 15 = x / 120. x = (20 * 120) / 15 = 20 * 8 = 160 pages.
7818
If the wages of 12 women for 5 days is Rs. 1500, find the wages of 8 women for 10 days.
A. Rs. 1800
B. Rs. 2000
C. Rs. 2200
D. Rs. 2400
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Explanation
(W1 * D1) / R1 = (W2 * D2) / R2. (12 * 5) / 1500 = (8 * 10) / x. 60 / 1500 = 80 / x. 1/25 = 80/x. x = 25 * 80 = 2000.
7819
If 15 men can dig a trench 35m long in 12 days, how many men can dig a trench 84m long in 18 days?
A. 20
B. 24
C. 28
D. 32
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Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (15 * 12) / 35 = (x * 18) / 84. 180 / 35 = 18x / 84. 36/7 = 3x/14. 3x = (36 * 14) / 7 = 72. x = 24 men.
7820
If 30 men working 7 hours a day can do a piece of work in 18 days, in how many days will 21 men working 8 hours a day do the same work?
A. 22.5
B. 24
C. 25
D. 28
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Explanation
M1 * D1 * H1 = M2 * D2 * H2. 30 * 18 * 7 = 21 * x * 8. 3780 = 168x. x = 3780 / 168 = 22.5 days.
