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Number System

What is the g...

Question

What is the greatest number of 4 digits that which divided by any of the numbers 6, 9, 12, 17 leave 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
LCM of 6, 9, 12, 17 = 612
greatest number of 4 digit divisible by 612 is 9792
to get remainder 1 number should be 9792+1 =9793

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