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The MCQs below are drawn from the Mathematics subject category.
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7801
If a tap can fill a 500-liter tank in 2 hours, how much time will it take to fill an 800-liter tank at the same flow rate?
A. 3 hours
B. 3.2 hours
C. 3.5 hours
D. 4 hours
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Explanation
Direct proportion. 500 / 2 = 800 / x. 250 = 800 / x. x = 800 / 250 = 3.2 hours.
7802
If 25 kg of rice can feed 40 students for 10 days, how many kg of rice is required to feed 60 students for 15 days?
A. 45 kg
B. 50 kg
C. 56.25 kg
D. 60 kg
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Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (40 * 10) / 25 = (60 * 15) / x. 400 / 25 = 900 / x. 16 = 900 / x. x = 900 / 16 = 56.25 kg.
7803
A team of 30 workers can build a road in 40 days. After 10 days, 10 workers leave the team. How many more days will the remaining workers take to complete the rest of the road?
A. 35 days
B. 40 days
C. 45 days
D. 50 days
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Explanation
Work left = 30 workers for 30 days. Remaining workers = 20. M1 * D1 = M2 * D2. 30 * 30 = 20 * x. 900 = 20x. x = 45 days.
7804
If 15 painters can paint a building in 30 days, how many additional painters are needed to finish the job in 18 days?
A. 10
B. 15
C. 20
D. 25
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Explanation
M1 * D1 = M2 * D2. 15 * 30 = M2 * 18. M2 = 450 / 18 = 25 painters. Additional painters needed = 25 - 15 = 10.
7805
If the cost of printing a 200-page book is Rs. 150, what will be the cost of printing a 450-page book of the same size?
A. Rs. 300
B. Rs. 325
C. Rs. 337.5
D. Rs. 350
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Explanation
Direct proportion. 200 / 150 = 450 / x. 4/3 = 450 / x. 4x = 1350. x = 337.5.
7806
A map uses a scale of 1 cm = 50 km. If two cities are 4.5 cm apart on the map, what is their actual distance?
A. 200 km
B. 225 km
C. 250 km
D. 275 km
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Explanation
Direct proportion. 1 / 50 = 4.5 / x. x = 4.5 * 50 = 225 km.
7807
If 5 persons can weave 10 mats in 5 days, how many mats will 10 persons weave in 10 days?
A. 20
B. 30
C. 40
D. 50
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Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (5 * 5) / 10 = (10 * 10) / x. 25 / 10 = 100 / x. 2.5 = 100 / x. x = 100 / 2.5 = 40 mats.
7808
If 12 men or 18 women can reap a field in 14 days, then 8 men and 16 women can reap the same field in:
A. 7 days
B. 8 days
C. 9 days
D. 10 days
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Explanation
12 men = 18 women => 2 men = 3 women. Work = 18 women * 14 days. 8 men + 16 women = (4*3) women + 16 women = 12 + 16 = 28 women. Days = Total Work / Group = (18 * 14) / 28 = 252 / 28 = 9 days.
7809
If 8 men can build a room in 15 days, how many men are required to build a similar room in 10 days?
A. 10
B. 12
C. 14
D. 16
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Explanation
Inverse proportion: M1 * D1 = M2 * D2. 8 * 15 = x * 10. x = (8 * 15) / 10 = 120 / 10 = 12 men.
7810
If 5 spiders can catch 5 flies in 5 minutes, how many flies can 100 spiders catch in 100 minutes?
A. 100
B. 500
C. 1000
D. 2000
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Explanation
(M1 * T1) / W1 = (M2 * T2) / W2. (5 * 5) / 5 = (100 * 100) / x. 5 = 10000 / x. x = 10000 / 5 = 2000 flies.
