kushal.adhia wrote:If x is a positive integer greater than 1, does x have any integer factor n such that 1 < n < x?
(1) x is even.
(2) 47 < x < 53
OA is B
Can someone help me out with this please??
Kushal
(1) If x is even, x can be equal to 2. 2 has only two integer factors 1 and 2. Thus there is no integer factor n of 2, such that 1 < n < 2.
Not SUFFICIENT.
(2) If 47 < x < 53, x can have the values 48, 49, 50, 51 and 52.
48 = 2*2*2*2*3
49 = 7*7
50 = 2*5*5
51 = 3*17
52 = 2*2*13
Therefore in each of these 5 cases the x have integer factors n (= 2 0r 3 or 5 or 7 etc or their multiples in some cases) such that 1 < n < x.
SUFFICIENT.
The correct answer is B.
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