Latest self Aptitude Question SOLUTION: 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

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(#M40008427) SELF question self Keep an EYE

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

niru (12 years ago)

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Vignesh  (12 years ago)

B. 1683

In simple words, a number which want to divisible by 9 without any remainder means,addition of the digits would be divisible by 9.

So, by the given option,
1677 = 1+6+7+7 ->21(not divisible by 9)
1683 = 1+6+8+3 ->18(divisible by 9)
2523 = 2+5+2+3 ->12(not divisible by 9)
3363 = 3+3+6+3 ->15(not divisible by 9)

So, answer would be B.1683

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Laxmi Sindhu  (9 years ago)

(5*6*7*8)+3=1683

now, 1683/9=187 with 0 remainder.. so answer is B.1683.

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