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Quantitative Aptitude

Successive Division

511 and 667 w...

Question

511 and 667 when divided by the same number, leave the same remainder. How many numbers can be used as the divisor in order to make this occur?

A

14

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B

12

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C

10

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D

8

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Solution

The correct option is B 12
The numbers that can do so are going to be factors of the difference between 511 and 667 i.e. 156. The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156. There are 12 such numbers. Option (b) is correct.

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