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The MCQs below are drawn from the Mathematics subject category.
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7781
If 24 boys can assemble 36 computers in 12 days, how many days will 16 boys take to assemble 48 computers?
A. 20
B. 24
C. 27
D. 30
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Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (24 * 12) / 36 = (16 * x) / 48. 288 / 36 = 16x / 48. 8 = x / 3. x = 24 days.
7782
If 15 cows eat 45 bales of hay in 3 days, how many bales will 10 cows eat in 5 days?
A. 40
B. 50
C. 60
D. 75
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Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (15 * 3) / 45 = (10 * 5) / x. 45 / 45 = 50 / x. 1 = 50 / x. x = 50 bales.
7783
If a printing press prints 4000 newspapers in 4 hours, how many newspapers will it print in 10 hours?
A. 8000
B. 9000
C. 10000
D. 12000
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Explanation
Direct proportion. 4000 / 4 = x / 10. 1000 = x / 10. x = 10000.
7784
If 10 people can paint a fence in 2 days, how long will it take 4 people to paint the same fence?
A. 4 days
B. 5 days
C. 6 days
D. 8 days
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Explanation
Inverse proportion. M1 * D1 = M2 * D2. 10 * 2 = 4 * x. 20 = 4x. x = 5 days.
7785
If 12 machines take 5 hours to produce a batch of items, how many machines of exactly the same type are needed to produce the same batch in 3 hours?
A. 15
B. 18
C. 20
D. 24
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Explanation
Inverse proportion. M1 * H1 = M2 * H2. 12 * 5 = x * 3. 60 = 3x. x = 20 machines.
7786
A wheel rotates 200 times to cover a distance of 800m. How many rotations are needed to cover 1.5 km?
A. 300
B. 350
C. 375
D. 400
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Explanation
Direct proportion. 1.5 km = 1500m. 200 / 800 = x / 1500. 1/4 = x / 1500. x = 1500 / 4 = 375 rotations.
7787
If 7 monkeys eat 7 bananas in 7 minutes, how many monkeys eat 14 bananas in 14 minutes?
A. 7
B. 14
C. 21
D. 28
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Explanation
(M1 * T1) / W1 = (M2 * T2) / W2. (7 * 7) / 7 = (x * 14) / 14. 7 = x. So, 7 monkeys.
7788
If 15 men can build a wall in 24 days, how many men are required to build a wall half as long in 9 days?
A. 18
B. 20
C. 25
D. 30
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Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (15 * 24) / 1 = (x * 9) / 0.5. 360 = 18x. x = 360 / 18 = 20 men.
7789
If the interest on Rs. 1500 for 2 years is Rs. 180, what will be the interest on Rs. 2500 for 3 years at the same rate?
A. Rs. 350
B. Rs. 400
C. Rs. 450
D. Rs. 500
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Explanation
Interest is directly proportional to Principal * Time. (P1 * T1) / I1 = (P2 * T2) / I2. (1500 * 2) / 180 = (2500 * 3) / x. 3000 / 180 = 7500 / x. 100 / 6 = 7500 / x. 100x = 45000. x = 450.
7790
If 24 men can dig a trench 50m long, 4m wide, and 2m deep in 10 days, working 8 hours a day, how many days will 30 men take to dig a trench 80m long, 5m wide, and 3m deep, working 6 hours a day?
A. 30
B. 32
C. 35
D. 40
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Explanation
Volume 1 = 50*4*2 = 400 m^3. Volume 2 = 80*5*3 = 1200 m^3. (M1 * D1 * H1) / V1 = (M2 * D2 * H2) / V2. (24 * 10 * 8) / 400 = (30 * x * 6) / 1200. 1920 / 400 = 180x / 1200. 4.8 = 0.15x. x = 4.8 / 0.15 = 32 days.
