what is the greatest number of three digits which when divided by..., HCF & LCM, General Mathematics

Question:What  is the greatest number of three digits which when divided by 6, 9 and 12 leaves a remainder of 3 in each case  ?

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+ AnswerA

+ Explanationsolution:
Greatest number of 3 digits is 999.
L.C.M. of `6, 9 and 12 =36`.
On dividing 999 by 36, remainder obtained is 27.
`:.` Greatest number of 3 digits divisible by `6, 9, 12 = (999 - 27) = 972`.
`:.` Required number = `(972 + 30) = 975`.

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Question:What is the greatest number of three digits which when divided by 6, 9 and 12 leaves a remainder of 3 in each case ?

A 975

B 996

C 939

D 903

A