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Find the number lying between 900 and 1000 which when divided by 38 and 57, leaves in each case a remainder 23?

Correct Answer: 935

Explanation:

The least common multiple of 38 and 57 is 114 and the multiple which is between 900 and 1000 is 912.
Now, 912 + 23 i,e 935 lies between 900 and 1000 and when divided by 38 and 57 leaves in each case 23 as the remainder.
Therefore, 935 is number required.

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