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Q: What is the least number which when divided by 12, 18, 24 and 28 we obtain 5 as the remainder in each case?
  • A. 89
  • B. 504
  • C. 84
  • D. 509
Correct Answer: Option D - On taking L.C.M of 12, 18, 24 and 28 LCM = 2×2×2×3×3×7 LCM = 8×9×7 = 72×7 = 504 ∴ The required number = 504 + 5 = 509
D. On taking L.C.M of 12, 18, 24 and 28 LCM = 2×2×2×3×3×7 LCM = 8×9×7 = 72×7 = 504 ∴ The required number = 504 + 5 = 509

Explanations:

On taking L.C.M of 12, 18, 24 and 28 LCM = 2×2×2×3×3×7 LCM = 8×9×7 = 72×7 = 504 ∴ The required number = 504 + 5 = 509