Question

7. Find the least number which when divided

by 33, 44 and 55 leaves remainders 31, 42
and 53, respectively.

Answer 1

3/33

11/11

/1

2/44

2/22

11/11

/1

5/55

11/11

/1

33=3×11

44=2×2×11

55=5×11

now,

33-31=2

44-42=2

55-53=2

So,

2 is the least number which when divided by 33,44 and 55 leaves remainder 31,42 and 53.

Explanation:

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