**If 4 people can do a piece of work in 16 days working 5 hours each day. In how many the same work will be completed by 20 people working 4 hours each day?**

A) 10

B) 8

C) 4

D) 6

Answer

Option (c) is correct

**Explanation –**

M1xH1xD1 = M2xH2xD2

4x5x16 = 20x4xD2

Solve D2 = 4

**If 20 people can complete 2/5th of a work in 6 days working 4 hours each day, then how much work will be completed by 30 people in 2 days working 8 hours each day? **

A) 1

B) 4/5

C) 3/5

D) 2/5

Answer

Option (d) is correct

**Explanation –**

M1xD1xH1xW2 = M2xD2xH2xW1

20x6x4xW2 = 30x2x8x(2/5)

Solve W2 = 2/5

**10 people complete 2/5th of work in 8 days working 5 hours each day. How many additional men are needed to complete the work in a total of 14 days working same number of hours each day as earlier?**

A) 12

B) 10

C) 30

D) 20

Answer

Option (b) is correct

**Explanation –**

Total work to be completed in 14 days,

so (additional men+10 men already employed) will have to complete remaining work (1 – 2/5 ) = 3/5 of work in (14-8) = 6 days..

let X is additional men

M1xD1xH1xW2 = M2xD2xH2xW1

10x8x5x(3/5) = (10+X)x6x5x(2/5)

Solve X = 10

**A certain number of answer sheets can be checked in 12 days working 5 hours each day by 9 examiners. For how many hours a day should 4 examiners work to check twice the number of answer sheets in 30 days? **

A) 4 hours

B) 8 hours

C) 7 hours

D) 9 hours

Answer

Option (d) is correct

**Explanation –**

Answer sheets are work here. So

M1xD1xH1xW2 = M2xD2xH2xW1

9x12x5x2 = 4x30xH2x1

Solve, H2 = 9

**A camp can provide food to 150 men for 45 days. After 10 days, 25 left the camp. What is the number of days for which the remaining food will last now? **

A) 42

B) 48

C) 40

D) 30

Answer

Option (a) is correct

**Explanation –**

After 10 days, there is (45-10) = 35 days food for 150 men.

But 25 men left, so there are 125 men left, and let now the same food is for X days for 125 men.

So

M1xD1 = M2xD2

150×35 = 125xX

Solve, X = 42

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