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The MCQs below are drawn from the Mathematics subject category.
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7731
Simplify the expression: 45 + 15 / 3.
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Explanation
According to BODMAS, division is performed first. So, 15 / 3 = 5. Then, add 45 + 5 = 50.
7732
If 18 machines produce 360 items in 5 hours, how many items will 24 machines produce in 8 hours?
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Explanation
(M1 * H1) / W1 = (M2 * H2) / W2. (18 * 5) / 360 = (24 * 8) / x. 90 / 360 = 192 / x. 1/4 = 192/x. x = 192 * 4 = 768 items.
7733
If 8 workers can paint 4 houses in 6 days, how many days will 10 workers take to paint 5 houses?
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Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (8 * 6) / 4 = (10 * x) / 5. 48 / 4 = 10x / 5. 12 = 2x. x = 6 days.
7734
If a man walks 15 km in 3 hours, how far will he walk in 7 hours at the same speed?
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Explanation
Direct proportion. 15 / 3 = x / 7. 5 = x / 7. x = 35 km.
7735
If 25 students eat 100 apples in 4 days, how many apples will 40 students eat in 5 days?
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Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (25 * 4) / 100 = (40 * 5) / x. 100 / 100 = 200 / x. 1 = 200 / x. x = 200 apples.
7736
If 10 men cut 15 trees in 2 hours, how many trees can 20 men cut in 4 hours?
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Explanation
(M1 * H1) / W1 = (M2 * H2) / W2. (10 * 2) / 15 = (20 * 4) / x. 20 / 15 = 80 / x. 4/3 = 80/x. 4x = 240. x = 60 trees.
7737
If 5 pumps can empty a pool in 12 hours, how many pumps are needed to empty it in 10 hours?
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Explanation
Inverse proportion. 5 * 12 = x * 10. 60 = 10x. x = 6 pumps.
7738
If 14 men can construct a shed in 28 days, how many days will 8 men take to construct it?
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Explanation
Inverse proportion. M1 * D1 = M2 * D2. 14 * 28 = 8 * x. 392 = 8x. x = 49 days.
7739
If 6 tailors can sew 30 dresses in 4 days, how many tailors can sew 45 dresses in 6 days?
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Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (6 * 4) / 30 = (x * 6) / 45. 24 / 30 = 6x / 45. 4/5 = 2x/15. 60 = 10x. x = 6 tailors.
7740
If 12 kg of rice serves 40 people, how many kg of rice is required to serve 150 people?
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Explanation
Direct proportion. 12 / 40 = x / 150. 0.3 = x / 150. x = 45 kg.
