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Successive Division

Find the grea...

Question

Find the greatest number of four digits which when divided by 10, 11, 15, and 22 leaves 3, 4, 8 and 15 as remainders respectively.

9893

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9900

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9903

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8900

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Solution

The correct option is A
9893

First find the greatest 4 digit multiple of the LCM of 10, 11, 15 and 22. In this case, it is 9900. Now subtract 7 from 9900 to obtain the answer.

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