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If x and y are integers and x < y, what is the value of x + y?
(1) x^y = 4
(2) |x| = |y|
Edited for typo
The question has very simple fundamentals but it is still tricky, mainly because it gives you a part of the information in the question stem. We often forget to consider that when we are busy analyzing the statements.
x and y are integers x < y Question: (x + y) = ?
(1) x^y = 4 This can happen in a number of ways: x= 2, y = 2 x = -2, y = 2 x = 4, y = 1 But in only one case, x < y. x must be -2 and y must be 2. x + y = 0 Sufficient
(2) |x| = |y| This can happen in two ways: x = y (x and y have same sign and absolute value) or x = -y (x and y have opposite signs and same absolute value) Since x < y, x must be negative and y must be positive. (they both cannot be positive since their absolute value is the same but x < y) In that case x = -y x+y = -y+y = 0 Sufficient
Re: If x and y are integers and x<y, what is the value of x+y? [#permalink]
25 Dec 2014, 10:09
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