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Quantitative Aptitude

Successive Division

What is the l...

Question

What is the least possible number which when divided by 18, 35, 42 it leaves the 2, 19, 26 as the remainders respectively? ___

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Solution

Since the difference between the divisors and the respective remainders is same.
Hence the least possible number
= (LCM of 18, 35 and 42) - 16
= 630 - 16 [ $∵$ (18 - 2) = (35 - 19) = (42 - 26) = 16]
= 614

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