ankur.agrawal wrote:If a and b are integers, and |a| > |b|, is a · |b| < a - b?
(1) a < 0
(2) ab>= 0.
HOW DO WE DO THIS SAY IN 2.5 MIN.?
Try to plug in values that satisfy all the conditions given.
Let a = -2, b = -1.
Given condition: |a| > |b| -->
|-2| > |-1|
Statement 1: a < 0 -->
-2 < 0
Statement 2: ab ≥ 0 -->
(-2)(-1) ≥ 0
Is a · |b| < a - b?
-2*|-1|< -2 - (-1)
-2 < -1. Yes.
Let a = -2, b = 0.
Given condition: |a| > |b| -->
|-2| > |0|
Statement 1: a < 0 -->
-2 < 0
Statement 2: ab ≥ 0 -->
(-2)(0) ≥ 0
Is a · |b| < a - b?
-2*|0|< -2 - (0)
0 < -2. No.
Since the values above satisfy both statements, and in the first case the answer is Yes and in the second case the answer is No, INSUFFICIENT.
The correct answer is
E.
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