the least number which when divided by 5 6 7 and..., HCF & LCM, General Mathematics

Question:The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is :

/49

+ AnswerB

+ Explanationsolution:
L.C.M. of `5, 6, 7, 8 = 840`.
`:.` Required number is of the from` 840k + 3`.
Least value of k for which `(840k +3)` is divisible by 9 is k = 2.
`:.` Required number = `(840 xx 2+3) = 1683`.

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Question:The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is :

A 1677

B 1683

C 2523

D 3363

B