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The MCQs below are drawn from the Mathematics subject category.
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7751
If 15 painters paint 6 houses in 10 days, how many houses can 25 painters paint in 12 days?
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Correct Option
Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (15 * 10) / 6 = (25 * 12) / x. 150 / 6 = 300 / x. 25 = 300 / x. x = 12 houses.
7752
If 16 monkeys eat 16 bananas in 16 minutes, how many monkeys will eat 48 bananas in 48 minutes?
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Explanation
(M1 * T1) / W1 = (M2 * T2) / W2. (16 * 16) / 16 = (x * 48) / 48. 16 = x. So, 16 monkeys.
7753
If the cost of 18 kg of pulses is Rs. 1440, what is the cost of 22 kg?
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Explanation
Direct proportion. 18 / 1440 = 22 / x. 1/80 = 22/x. x = 22 * 80 = 1760.
7754
If 50 men can dig a well in 20 days, how many days will 40 men take to dig the same well?
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Explanation
Inverse proportion. M1 * D1 = M2 * D2. 50 * 20 = 40 * x. 1000 = 40x. x = 25 days.
7755
If 12 bakers bake 144 cakes in 6 hours, how many cakes will 8 bakers bake in 9 hours?
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Explanation
(M1 * H1) / W1 = (M2 * H2) / W2. (12 * 6) / 144 = (8 * 9) / x. 72 / 144 = 72 / x. 1/2 = 72/x. x = 144 cakes.
7756
If 5 computers download 5 files in 5 seconds, how many seconds will 100 computers take to download 100 files?
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Explanation
(M1 * T1) / W1 = (M2 * T2) / W2. (5 * 5) / 5 = (100 * x) / 100. 5 = x. So, 5 seconds.
7757
A garrison of 600 men has enough food for 40 days. If 200 men leave, how long will the food last?
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Explanation
Remaining men = 400. M1 * D1 = M2 * D2. 600 * 40 = 400 * x. 24000 = 400x. x = 60 days.
7758
If 24 workers can weave 60 rugs in 10 days, how many workers can weave 90 rugs in 12 days?
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Explanation
(M1 * D1) / W1 = (M2 * D2) / W2. (24 * 10) / 60 = (x * 12) / 90. 240 / 60 = 12x / 90. 4 = 12x / 90. 360 = 12x. x = 30 workers.
7759
If a man can type 45 words per minute, he finishes a document in 60 minutes. If he types 54 words per minute, how long will it take?
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Explanation
Inverse proportion. Speed1 * Time1 = Speed2 * Time2. 45 * 60 = 54 * x. 2700 = 54x. x = 50 mins.
7760
If 8 pipes can empty a tank in 40 minutes, how long will 10 pipes take?
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Explanation
Inverse proportion. 8 * 40 = 10 * x. 320 = 10x. x = 32 mins.