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1. When a number is divided by **13**, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?

**Answer: **349

x = 13p + 11 and x = 17q + 9

Workspace

Accenture Adobe Amazon

2. A' and 'B' complete a work togather in 8 days.If 'A' alone can do it in 12 days.Then how many day 'B' will take to complete the work?

**Answer: **24 days

A & B one day work = 1/8

A alone one day work = 1/12

B alone one day work = (1/8 - 1/12) = ( 3/24 - 2/24)

=> B one day work = 1/24

so B can complete the work in 24 days.

Workspace

Accenture Adobe Alcatel-Lucent Aricent Amazon Wipro

3. If A alone can do a piece of work in 8 days and B alone can do the same work in 12 days. How many days A and B required to finish the same work if they work togather?

**Answer: **24/5 days

A alone one day work = 1/8

B alone one day work = 1/12

Both A and B one day work = (1/8 + 1/12) = (3/24 + 2/24)

= 5/24

so A and B together finish the work in 24/5 day

or 4 4/5 days.

Workspace

Broadcom Ltd Accenture Adobe Amazon

4. A can finish a piece work in 18 days and B can do the same work in half the time taken by A. So if they working together, what part of the same work can finished in a day?

**Answer: **1/6

First find the 1 day work of both (A & B)

A's 1 day's work = 1/18

and

B's 1 day's work = 1/9

(A + B)'s 1 day's work = (1/18+1/9)

= (1+2)/18 = 3/18 = 1/6

so A & B together can do 1/6 of work in 1 day.

Workspace

Accenture