Numbers - Arithmetic Aptitude Questions and Answers

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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 ?

339

349

369

Data inadequate

Answer : Option B

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