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### Discussion :: Numbers

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 ?

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

Explanation :

x = 13p + 11 and x = 17q + 9

13p + 11 = 17q + 9

17q - 13p = 2

q =$$\frac { 2+13p } {17 }$$

The least value of p for which q =$$\frac { 2+13p } {17 }$$is a whole number is p = 26

x = (13 x 26 + 11)

= (338 + 11)

= 349

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