Question
When a number is divided by 13, the remainder is 11, when the same number is divided by17, the remainder is 9. What is the number ?
Answer: Option B
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`x` = 13p + 11 and `x` = 17q + 9.
`:.` 13p + 11 = 17q + 9 `rArr` 17q - 13p = 2 `rArr` 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
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