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The MCQs below are drawn from the Mathematics subject category.
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7741
If 10 men can do a piece of work in 25 days, in how many days can 25 men do the same work?
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Correct Option
Explanation
Inverse proportion. M1 * D1 = M2 * D2. 10 * 25 = 25 * x. x = 10 days.
7742
If the cost of 8 books is Rs. 960, what will be the cost of 15 books?
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Correct Option
Explanation
Direct proportion. 8 / 960 = 15 / x. 1/120 = 15/x. x = 120 * 15 = 1800.
7743
If 30 workers can lay 150 km of tracks in 20 days, how many workers can lay 225 km of tracks in 25 days?
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Correct Option
Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (30 * 20) / 150 = (x * 25) / 225. 600 / 150 = 25x / 225. 4 = x / 9. x = 36 workers.
7744
If 5 persons print 5 books in 5 days, how many days will 10 persons take to print 20 books?
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Correct Option
Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (5 * 5) / 5 = (10 * x) / 20. 5 = 10x / 20. 5 = x / 2. x = 10 days.
7745
If a train running at 60 km/h reaches its destination in 5 hours, what should be its speed to reach the destination in 4 hours?
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Explanation
Inverse proportion. S1 * T1 = S2 * T2. 60 * 5 = x * 4. 300 = 4x. x = 75 km/h.
7746
If 20 men take 15 days to dig a trench, how many men will it take to dig the same trench in 12 days?
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Correct Option
Explanation
Inverse proportion. 20 * 15 = x * 12. 300 = 12x. x = 25 men.
7747
If 12 machines can pack 600 boxes in 8 hours, how many machines are required to pack 900 boxes in 6 hours?
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Correct Option
Explanation
(M1 * H1) / W1 = (M2 * H2) / W2. (12 * 8) / 600 = (x * 6) / 900. 96 / 600 = 6x / 900. 0.16 = 6x / 900. 6x = 144. x = 24 machines.
7748
If 45 students consume 180 liters of milk in 10 days, how much milk will 60 students consume in 15 days?
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Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (45 * 10) / 180 = (60 * 15) / x. 450 / 180 = 900 / x. 2.5 = 900 / x. x = 900 / 2.5 = 360 liters.
7749
If 8 men can build a 12m wall in 5 days, how many days will 10 men take to build a 15m wall?
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Correct Option
Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (8 * 5) / 12 = (10 * x) / 15. 40 / 12 = 10x / 15. 10/3 = 2x/3. 10 = 2x. x = 5 days.
7750
If a man completes 2/3 of a job in 8 days, how many days will he take to complete the whole job?
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Correct Option
Explanation
Direct proportion between work and days. (2/3) / 8 = 1 / x. x = 8 / (2/3) = 8 * 3/2 = 12 days.
