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When a number is divided by 17, the remainder is 9. When the same number is divided by 23, the remainder is 4. Find the number?

  • A.20
  • B.349
  • C.329
  • D.60

Answer: B

\(x = 17p + 9\) and \(x = 23q + 4\)
i.e. \(17p + 9 = 23q + 4\)
Therefore, \(q = \frac{(17p + 5)}{23}\)
Least value of p for which q is a whole number is \(p = 20\)
\(x = 17p + 9\)
\(= 17 \times 20 + 9\)
\(= 349\)

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