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Integers

Let a, b, c, ...

Question

Let a, b, c, d and e be integers such that a = 6b = 12c, and 2b = 9d = 12e. Then which of the following pairs contains a number that is not an integer ?(CAT 2003)

A

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B

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C

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D

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Solution

The correct option is D | |
Option (d)
Assumption
Start with e. if e=12, then c=36, d=16, b=72 and a=432
Now you can eliminate answer options. All the options, other than option (d) give integral values.

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