Multiple Choice Questions

The least multiple of 7 which leaves a remainder of 4 when divided by 6 9 15 and 18 is ........

Quantitative Aptitude (Punjab Allied ) LCM, HCF

The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:

724

354

364

L.C.M. of 6, 9, 15 and 18 is 90.

Let required number be 90k + 4, which is multiple of 7.

Least value of k for which (90k + 4) is divisible by 7 is k = 4.

=>Required number = (90 x 4) + 4 = 364.

Hence, option 4 is the correct answer.

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