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The MCQs below are drawn from the Mathematics subject category.
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7771
If 5 kg of wheat is sufficient for a family of 4 for 10 days, how many days will 10 kg of wheat last for a family of 8?
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Correct Option
Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (4 * 10) / 5 = (8 * x) / 10. 40 / 5 = 8x / 10. 8 = 0.8x. x = 10 days.
7772
If 9 women can weave 45 baskets in 3 days, how many baskets will 12 women weave in 4 days?
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Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (9 * 3) / 45 = (12 * 4) / x. 27 / 45 = 48 / x. 3/5 = 48 / x. 3x = 240. x = 80 baskets.
7773
If 14 workers can dig a pond in 20 days, how many workers are needed to dig it in 8 days?
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Explanation
Inverse proportion. M1 * D1 = M2 * D2. 14 * 20 = x * 8. 280 = 8x. x = 35 workers.
7774
If a factory produces 600 cars in 15 days, how many cars will it produce in 25 days?
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Explanation
Direct proportion. 600 / 15 = x / 25. 40 = x / 25. x = 1000 cars.
7775
If 6 men can pack 120 boxes in 4 hours, how many boxes can 8 men pack in 5 hours?
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Explanation
(M1 * H1) / W1 = (M2 * H2) / W2. (6 * 4) / 120 = (8 * 5) / x. 24 / 120 = 40 / x. 1/5 = 40 / x. x = 200 boxes.
7776
If 10 engines consume 80 liters of fuel in 4 hours, how many liters of fuel will 6 engines consume in 8 hours?
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Explanation
(M1 * H1) / W1 = (M2 * H2) / W2. (10 * 4) / 80 = (6 * 8) / x. 40 / 80 = 48 / x. 0.5 = 48 / x. x = 48 / 0.5 = 96 liters.
7777
If 20 carpenters build 10 tables in 5 days, how many carpenters are required to build 25 tables in 10 days?
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Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (20 * 5) / 10 = (x * 10) / 25. 100 / 10 = 10x / 25. 10 = 10x / 25. 250 = 10x. x = 25 carpenters.
7778
If a man earns Rs. 4200 in 15 days, what will be his earnings in 24 days?
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Explanation
Direct proportion. 4200 / 15 = x / 24. x = (4200 * 24) / 15 = 280 * 24 = 6720.
7779
If 18 men can clear a field in 36 days, how many days will 27 men take?
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Explanation
Inverse proportion. M1 * D1 = M2 * D2. 18 * 36 = 27 * x. x = (18 * 36) / 27 = 648 / 27 = 24 days.
7780
If 4 tailors make 20 dresses in 5 days, how many dresses will 6 tailors make in 8 days?
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Correct Option
Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (4 * 5) / 20 = (6 * 8) / x. 20 / 20 = 48 / x. 1 = 48 / x. x = 48 dresses.
