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Q. The least number, which when divided by 4, 5 and 6 leaves remainder 1, 2 and 3 respectively, is

  • (A) 63
  • (B) 61
  • (C) 59
  • (D) 57
  • Correct Answer - Option(D)
  • Views: 12
  • Filed under category Math
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Explanation by: Admin

When a number is divided by P, Q or R leaving remainders X, Y or Z respectively such that the difference between divisor and remainder in each case is same i.e., (P – X) = (Q – Y) = (R – Z) = T (say) then that (least) number must be in the form of (K – T), where K is LCM of P, Q and R

Here 4 – 1 = 3, 5 – 2 = 3, 6 – 3 = 3

∴ The required number = LCM of (4, 5, 6) – 3

= 60 – 3 = 57

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