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The MCQs below are drawn from the Mathematics subject category.
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7821
A contract is to be completed in 56 days. 104 men were set to work, each working 8 hours a day. After 30 days, 2/5 of the work is completed. How many additional men may be employed so that the work may be completed in time, each man now working 9 hours a day?
A. 56
B. 60
C. 64
D. 70
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Explanation
Work done = 2/5, Work left = 3/5. Days left = 56 - 30 = 26. (M1 * D1 * H1) / W1 = (M2 * D2 * H2) / W2. (104 * 30 * 8) / (2/5) = (M2 * 26 * 9) / (3/5). 24960 / 2 = (234 * M2) / 3. 12480 = 78 * M2. M2 = 12480 / 78 = 160. Additional men = 160 - 104 = 56.
7822
If 12 men can paint 10 identical rooms in 16 days, how many men are needed to paint 20 such rooms in 8 days?
A. 36
B. 40
C. 48
D. 64
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Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (12 * 16) / 10 = (x * 8) / 20. 192 / 10 = 8x / 20. 19.2 = 0.4x. x = 19.2 / 0.4 = 48 men.
7823
If the freight of 65 kg of goods for 50 km is Rs. 32.50, what will be the freight of 100 kg for 80 km?
A. Rs. 60
B. Rs. 75
C. Rs. 80
D. Rs. 100
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Explanation
Freight is directly proportional to Weight * Distance. (W1 * D1) / F1 = (W2 * D2) / F2. (65 * 50) / 32.50 = (100 * 80) / x. 3250 / 32.50 = 8000 / x. 100 = 8000 / x. x = 80.
7824
If 6 boys can collect 18 boxes of apples in 2 hours, how many boxes can 8 boys collect in 3 hours?
A. 24
B. 30
C. 36
D. 42
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Explanation
(M1 * H1) / W1 = (M2 * H2) / W2. (6 * 2) / 18 = (8 * 3) / x. 12 / 18 = 24 / x. 2/3 = 24 / x. 2x = 72. x = 36 boxes.
7825
If 7 workers can build 7 cars in 7 days, how many days will it take 5 workers to build 5 cars?
A. 1 day
B. 5 days
C. 7 days
D. 35 days
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Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (7 * 7) / 7 = (5 * x) / 5. 7 = x. So, it will take 7 days.
7826
If a man walks 20 km in 5 hours, how long will it take him to walk 32 km at the same pace?
A. 6 hours
B. 7 hours
C. 8 hours
D. 9 hours
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Explanation
Direct proportion. Distance / Time = constant. 20 / 5 = 32 / x. 4 = 32 / x. x = 32 / 4 = 8 hours.
7827
If 4 men can weave 4 mats in 4 days, how many mats will 8 men weave in 8 days?
A. 8
B. 16
C. 32
D. 64
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Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (4 * 4) / 4 = (8 * 8) / x. 4 = 64 / x. x = 64 / 4 = 16 mats.
7828
If 10 spiders catch 10 flies in 10 minutes, how many flies will 200 spiders catch in 200 minutes?
A. 2000
B. 4000
C. 400
D. 200
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Explanation
Using (M1 * T1) / W1 = (M2 * T2) / W2. (10 * 10) / 10 = (200 * 200) / x. 10 = 40000 / x. x = 40000 / 10 = 4000 flies.
7829
A certain number of men complete a piece of work in 45 days. If there were 5 men less, it could be finished in 15 days more. How many men were originally there?
A. 15
B. 20
C. 25
D. 30
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Explanation
Let initial men be M. M * 45 = (M - 5) * (45 + 15). 45M = 60(M - 5). 45M = 60M - 300. 15M = 300. M = 20.
7830
A certain number of men can do a work in 60 days. If there were 8 men more, it could be finished in 10 days less. How many men were there initially?
A. 30
B. 35
C. 40
D. 45
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Explanation
Let initial men be M. M * 60 = (M + 8) * (60 - 10). 60M = 50(M + 8). 60M = 50M + 400. 10M = 400. M = 40.
