Unitary Method
- If 10 spiders can catch 10 files in 10 min, then how many flies can 200 spiders catch in 200 min ?
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Let the required number of flies be N.
More spiders, More flies (Direct proportion)
More time, More flies (Direct proportion)Correct Option: C
Let the required number of flies be N.
More spiders, More flies (Direct proportion)
More time, More flies (Direct proportion)
∴ 10 x 10 x N = 200 x 200 x 10
∴ N = (200 x 200 x 10)/(10 x 10) = 4000 flies
- If 12 persons working 16 h per day earn ₹ 33600 per week, then how much will 18 persons earn working 12 h per day ?
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M1 = 12 H1 = 16, W1 = 33600
M2 = 18, H2 = 12, W2 = ?
By formula, M1H1/W1 = M2H2/W2
(12 x 16)/33600 = (18 x 12)/W2
⇒ W2 = (33600 x 18)/16Correct Option: D
M1 = 12 H1 = 16, W1 = 33600
M2 = 18, H2 = 12, W2 = ?
By formula, M1H1/W1 = M2H2/W2
(12 x 16)/33600 = (18 x 12)/W2
⇒ W2 = (33600 x 18)/16
⇒ W2 = 2100 x 8
∴ W2 = 37800
- A garrison of 1000 men had provisions for 48 days. However, a reinforcement of 600 men arrived. How long will now food last for ?
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∵ For 1000 men, provision lasts for 48 days.
∴ For 1 men, provision lasts for (48 x 1000) days.
∴ For (1000 + 600) men, provision will last for (48 x 1000)/1600 days.Correct Option: B
∵ For 1000 men, provision lasts for 48 days.
∴ For 1 men, provision lasts for (48 x 1000) days.
∴ For (1000 + 600) men, provision will last for (48 x 1000)/1600 days.
∴ Required number of days = (48 x 1000)/1600 = 3 x 10 = 30
- If 30 men working 9 h per day can reap a field in 16 days, in how many days, will 36 men reap the field working 8 h per day ?
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Here M1 = 30, D1 = 16,
T1 = 9, M2 = 36 and T2 = 8
By formula, M1D1T1 = M2D2T2Correct Option: A
Here M1 = 30, D1 = 16,
T1 = 9, M2 = 36 and T2 = 8
By formula, M1D1T1 = M2D2T2
30 x 16 x 9 = 36 x D2 x 8
∴ D2 = (30 x 16 x 9)/(36 x 8) = 15 days
- 22 men can complete a job in 16 days. In how many days, will 32 men complete that job ?
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∵ 22 men do the work in 16 days.
∴ 1 man will do the work in 16 x 22 days.Correct Option: D
∵ 22 men do the work in 16 days.
∴ 1 man will do the work in 16 x 22 days.
∴ 32 men will do the job in = (16 x 22)/32 days
∴ Required number of days = (16 x 22)/32 = 11 days