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 ?
A. 339
B. 349
C. 369
D. Data inadequate

Answer: Option B

Explanation:

x = 13p + 11 and x = 17q + 9

 13p + 11 = 17q + 9

 17q - 13p = 2

 q =2 + 13p
17

The least value of p for which q =2 + 13p 



17

is a whole number is p = 26

 x = (13 x 26 + 11)

   = (338 + 11)

   = 349