# The greatest 5-digit number, which leaves 7 as remainder when divided

| The greatest 5-digit number, which leaves 7 as remainder when divided by 12, 15, 21 & 34 is

A. 92867

B. 92827

C. 99987

D. 99967

### Right Answer is: D

#### SOLUTION

LCM of 12, 15, 21 & 34 is 7140

Form of number = 7140x + 7, where x = 1,2,3,4,…

Now greatest 5-digit number is 99999 but it is not in the form of 7140x + 5,

99999/7140 leaves remainder 39.

Hence the required number is 99999 – 39 + 7 = 99967

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The greatest 5-digit number, which leaves 7 as remainder when divided