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Mahesh Chandra • 6.28K Points
Tutor III Math

Q. The least number which when divided by 12,16 and 18 leaves 5 as remainder in each case. Find the number.

  • (A) 139
  • (B) 144
  • (C) 149
  • (D) 154
  • Correct Answer - Option(C)
  • Views: 309
  • Filed under category Math
Explanation by: Mahesh Chandra
Given, a = 12, b =16 , c =18, k = 5
According to the formula,
Required number =(LCM of a, b and c) + k
= (LCM Of 12, 16, 18) + 5

LCM of 12, 16, 18 is
∴ LCM = 2 x 2 x 3 x 4 x 3 = 144

∴ Required number =144 + 5 = 149

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