5 men can complete a work in 52 days. In how many days will 13 men finish the same work?
- A)52
- B)26
- C)20✓
- D)30
Why C is correct
The work is 5 x 52 = 260 man-days. With 13 men, the time = 260/13 = 20 days.
M04
Arithmetic, ratios, mensuration, data interpretation, logical reasoning
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Every served question is explained like this — including why each wrong option is wrong.
5 men can complete a work in 52 days. In how many days will 13 men finish the same work?
Why C is correct
The work is 5 x 52 = 260 man-days. With 13 men, the time = 260/13 = 20 days.
A bag contains one rupee, 50 paise and 25 paise coins in the ratio 5:6:7. If the total amount is ₹390, find the number of coins of each kind.
Why C is correct
Let the counts be 5x, 6x, 7x. Value = 5x(1) + 6x(0.50) + 7x(0.25) = 5x + 3x + 1.75x = 9.75x = 390, so x = 40. The counts are 200, 240 and 280.
A constable is 114 m behind a thief. The constable runs 21 m and the thief 15 m in a minute. In what time will the constable catch the thief?
Why D is correct
The constable gains 21 − 15 = 6 m every minute, so closing the 114 m gap takes 114/6 = 19 minutes.
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