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karthikpandian19
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Statement 1: x/|x| < xkarthikpandian19 wrote:If x is not equal to 0, is |x| less than 1?
(1) x/|x| < x
(2) |x| > x
For x = 2, x/|x| = 1 < 2 ----> No
For x = -0.5, x/|x| = -1 < -0.5 ----> Yes
Not sufficient
Statement 2: |x| > x
For x > 0, |x| = x and for x < 0, |x| = -x > x
Hence, x must be negative but |x| may or may not be less than 1.
Not sufficient
1 & 2 Together: x is negative and x/|x| < x
As x is negative, |x| = -x
Hence, x/|x| = -1
Hence, x > -1
Hence, |x| < 1
Sufficient
The correct answer is C.
