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Q: A number when divided by 10, 9 and 8 separately leaves remainders 9, 8, and 7 respectively. What is the least of such numbers?
  • A. 353
  • B. 719
  • C. 1359
  • D. 359
Correct Answer: Option D - According to the questions, (10–9) = (9–8) = (8–7) = 1 ∴ The required number = (LCM of 10, 9 and 8) – 1 = 360–1 = 359
D. According to the questions, (10–9) = (9–8) = (8–7) = 1 ∴ The required number = (LCM of 10, 9 and 8) – 1 = 360–1 = 359

Explanations:

According to the questions, (10–9) = (9–8) = (8–7) = 1 ∴ The required number = (LCM of 10, 9 and 8) – 1 = 360–1 = 359