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CAT-2003-Previous Years Paper

Question
36 out of 50
 

Let n (>1) be a composite integer such that √n is not an integer. Consider the following statements:

A: n has a perfect integer-valued divisor which is greater than 1 and less than

B: n has a perfect integer-valued divisor which is greater thanbut less than n



A Both A and B are false

B A is true but B is false

C A is false but B is true

D Both A and B are true

Ans. D

Let n = 6

Therefore,

Therefore, divisors of 6 are 1, 2, 3.

If we take 2 as divisor, then

Statement A is true

If we take 3 as divisor, then 6 > 3 > 2.4, i.e., n > 3 >

Therefore, statement B is true.

CAT-2003-Previous Years Paper Flashcard List

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