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The MCQs below are drawn from the Mathematics subject category.
Showing 7761–7770
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7761
If 35 men can repair a road in 12 days, how many men will repair it in 15 days?
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Explanation
Inverse proportion. 35 * 12 = x * 15. 420 = 15x. x = 28 men.
7762
If the price of printing 50 banners is Rs. 2000, what is the price for 120 banners?
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Explanation
Direct proportion. 50 / 2000 = 120 / x. 1/40 = 120/x. x = 4800.
7763
If 20 birds eat 40 insects in 2 hours, how many insects will 30 birds eat in 3 hours?
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Correct Option
Explanation
(M1 * T1) / W1 = (M2 * T2) / W2. (20 * 2) / 40 = (30 * 3) / x. 40 / 40 = 90 / x. 1 = 90 / x. x = 90 insects.
7764
If a tap fills a 300-liter tub in 15 minutes, how many liters will it fill in 45 minutes?
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Explanation
Direct proportion. 300 / 15 = x / 45. 20 = x / 45. x = 900 liters.
7765
If 4 engineers design 8 prototypes in 12 days, how many prototypes will 6 engineers design in 18 days?
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Correct Option
Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (4 * 12) / 8 = (6 * 18) / x. 48 / 8 = 108 / x. 6 = 108 / x. x = 108 / 6 = 18 prototypes.
7766
If 15 masons can lay 1200 bricks in 4 days, how many bricks can 20 masons lay in 6 days?
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Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (15 * 4) / 1200 = (20 * 6) / x. 60 / 1200 = 120 / x. 1/20 = 120/x. x = 2400 bricks.
7767
If 12 machines can harvest a farm in 14 hours, how many machines will harvest it in 8 hours?
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Explanation
Inverse proportion. 12 * 14 = x * 8. 168 = 8x. x = 21 machines.
7768
If a train covering 80 km/h takes 4 hours to reach a destination, how long will it take if the speed is 100 km/h?
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Explanation
Inverse proportion. Speed1 * Time1 = Speed2 * Time2. 80 * 4 = 100 * x. 320 = 100x. x = 3.2 hours.
7769
If 5 men earn Rs. 500 in 2 days, how much will 8 men earn in 5 days?
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Correct Option
Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (5 * 2) / 500 = (8 * 5) / x. 10 / 500 = 40 / x. 1/50 = 40/x. x = 40 * 50 = 2000.
7770
If 30 cows graze a field in 15 days, how many cows will graze it in 10 days?
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Correct Option
Explanation
Inverse proportion. M1 * D1 = M2 * D2. 30 * 15 = x * 10. 450 = 10x. x = 45 cows.
