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The MCQs below are drawn from the Mathematics subject category.
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7791
A recipe for 4 people requires 200g of flour. How much flour is needed for 10 people?
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Correct Option
Explanation
Direct proportion. 4 / 200 = 10 / x. x = (200 * 10) / 4 = 2000 / 4 = 500g.
7792
If 16 tractors can plough a field in 24 days, in how many days will 12 tractors plough the same field?
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Correct Option
Explanation
Inverse proportion. M1 * D1 = M2 * D2. 16 * 24 = 12 * x. x = (16 * 24) / 12 = 384 / 12 = 32 days.
7793
If 10 machines consume 300 units of electricity in 5 hours, how many units will 8 machines consume in 12 hours?
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Correct Option
Explanation
(M1 * H1) / E1 = (M2 * H2) / E2. (10 * 5) / 300 = (8 * 12) / x. 50 / 300 = 96 / x. 1/6 = 96/x. x = 96 * 6 = 576 units.
7794
If 20 typists can type a manuscript of 400 pages in 5 days, how many pages can 15 typists type in 8 days?
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Correct Option
Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (20 * 5) / 400 = (15 * 8) / x. 100 / 400 = 120 / x. 1/4 = 120/x. x = 120 * 4 = 480 pages.
7795
A car travels 450 km on 30 liters of petrol. How much petrol is needed to travel 750 km?
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Correct Option
Explanation
Direct proportion. 450 / 30 = 750 / x. 15 = 750 / x. x = 750 / 15 = 50 liters.
7796
If 3 dozen apples cost Rs. 180, what will be the cost of 5 dozen apples?
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Correct Option
Explanation
Direct proportion. 3 / 180 = 5 / x. x = (180 * 5) / 3 = 60 * 5 = 300.
7797
If 5 men can catch 5 fish in 5 hours, how many fish can 10 men catch in 10 hours?
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Correct Option
Explanation
(M1 * H1) / W1 = (M2 * H2) / W2. (5 * 5) / 5 = (10 * 10) / x. 5 = 100 / x. x = 100 / 5 = 20 fish.
7798
If 40 bags of cement are needed to build a wall measuring 20m x 2m, how many bags are needed for a wall measuring 30m x 3m of the same thickness?
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Correct Option
Explanation
Number of bags is directly proportional to area. Area1 = 40 m^2, Area2 = 90 m^2. 40 / 40 = x / 90. x = 90 bags.
7799
If 8 pipes of equal cross-section can fill a tank in 24 minutes, how long will 6 such pipes take to fill the same tank?
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Correct Option
Explanation
Inverse proportion. M1 * T1 = M2 * T2. 8 * 24 = 6 * x. x = (8 * 24) / 6 = 192 / 6 = 32 minutes.
7800
If the shadow of a 5 m tall tree is 8 m long at a certain time of day, what is the length of the shadow of an 8 m tall pole at the same time?
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Correct Option
Explanation
Direct proportion between height and shadow length. 5 / 8 = 8 / x. 5x = 64. x = 64 / 5 = 12.8 m.
