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Question

What least number must be subtracted from 1294 so that the remainder when divided by 9,11,13 will leave in each case the remainder 6?

A
0
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B
1
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C
2
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D
3
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Solution

The correct option is B 1
The LCM of 9,11 and 13 is 1287.
The number which will leave a remainder 6 is 1287+6=1293.
The difference between 1294 and 1293 is 1 which is the least number must be subtracted from 1294 so that the remainder when divided by 9,11,13 will leave in each case the remainder 6.

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