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Exercise:

Exercise 1

Q: The least number which is a multiple of 11 and when divided by 3, 5 and 9 leaves 2 as remainder:
A. 297 B. 319
C. 407 D. None of these

Answer and Explanation

Answer:407

Explanation:
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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