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Q.
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
View Answer
Correct choice: B
Explanation:
L.C.M of 5, 6, 7, 8 = 840 Therefore, Required Number is of the form 840k+3. Least value of k for which (840k+3) is divisible by 9 is k = 2 Therefore, Required Number = (840 x 2+3)=1683
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