Question 103

Find the least number which when divided by 12, 18, 36 and 45 leaves the remainder 8, 14, 32 and 41 respectively.

Solution

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Since, (12-8) = (18-14) = (36-32) = (45-41) = 4

we, need to find the L.C.M. of 12,18,36,45 and subtract 4 from it to get the required answer.

=> L.C.M. of 12, 18, 36 and 45 = 180

=> 180 - 4 = 176

Ans - (B)

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