Class 6 · Olympiad Prep

A number leaves remainder 2 when divided by 5 and remainder 3 when divided by 4. Which is the smallest possible number greater than 10?

  • A.13
  • B.17
  • C.22
  • D.27 ✓
Explanation: Numbers leaving remainder 2 mod 5: 7, 12, 17, 22, 27... Checking which also leaves remainder 3 mod 4: 27÷4=6 remainder 3. 27 is the smallest such number greater than 10.

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