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Question

I + f + f' is an even integer, where I is an integer, f and f' are proper positive

fractions (0 < f, f' < 1). Then the integer I is an odd number.


A

True

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B

False

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Solution

The correct option is A

True


I + f + f' is an even integer

I is also an integer. For I + f + f' to be an integer, f + f' should also be an integer. The

only integer value it can take is 1, because 0 < f + f' < 2.

⇒ f + f' = 1

⇒ I is an odd integer


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