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Numbers

Q1:

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

ANS:B - 349

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 is a whole number is p = 26
17
 x = (13 x 26 + 11)    = (338 + 11)    = 349



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