LCM with Remainder

CAT 1993 Slot 1 · QA · Easy · QA

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The smallest number which when divided by 44, 66 or 77 leaves a remainder of 22, is

  1. A.

    44

  2. B.

    62

  3. C.

    80

  4. D.

    86

Answer

D

Explanation

The required number is LCM(4,6,7)+2=84+2=86\text{LCM}(4, 6, 7) + 2 = 84 + 2 = 86.

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