Problems on H.C.F and L.C.M - Quantitative Aptitude (MCQ) questions for Q. 699

Q.  The least number which is a multiple of 11 and when divided by 3, 5 and 9 leaves 2 as remainder:
- Published on 06 Jul 15

a. 297
b. 319
c. 407
d. None of these

ANSWER: 407
 
The L.C.M. of 3, 5 and 9 is 45.
Hence, the number is of the form (45a + 2).
The least value of ‘a’ for which (45a + 2) is multiple of 11 is 9.
Therefore, the number is 407.

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