As x increases from 165 to 166, which of the statement/s must increase ?
1) 2x-5
2) 1-1/x
3) 1/(xsquare - x )
1) 2x-5
2) 1-1/x
3) 1/(xsquare - x )
The numbers given in the question are irrelevant.gmat_action wrote:As x increases from 165 to 166, which of the following must increase ?
I) 2x-5
II) 1-1/x
III) 1/(x^2 - x)
A. I only
B. II only
C. I and II
D. I and III
E. II and III
Answer the following:
As x increases from 2 to 3, which of the following must increase?
I. 2x-5
When x=2, 2x-5 = (2*2)-5 = -1.
When x=3, 2x-5= (2*3)-5 = 1.
Since the value of 2x-5 increases, eliminate any answer that does not include I.
Eliminate B and E.
II. 1-(1/x)
When x=2, 1-(1/x) = 1-(1/2) = 1/2.
When x=3, 1-(1/x)= 1-(1/3) = 2/3.
Since the value of 1-(1/x) increases, eliminate any answer that does not include II.
Eliminate A and D.
The correct answer is C.
