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Question

What is the greatest number of 4 digits that which when divided by any of the numbers 6, 9, 12 and 17 leaves a remainder of 1?

A
9997
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B
9793
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C
9895
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D
9487
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Solution

The correct option is B 9793
L.C.Mof6,9,12,17=612
Largest 4 digit number which is divisible by 612 is 9792
Now adding reminder 1 will get Largest 4 digit number will be 9792+1 = 9793

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