GATE (GA) Textile 2013 Question Paper Solution | GATE/2013/GA/62

Question 62 (General Aptitude)

If \left | 4X-7 \right |=5 then the values of 2\left | X \right | - \left | -X \right | is:

(A)2, 1/3
(B)1/2, 3
(C)3/2, 9
(D)2/3, 9
Answer / Solution
\left | 4X-7 \right |=5
-5<(4x-7)<5
i.e. x=1/2 and 3
Then,value of 2\left | X \right | - \left | -X \right |
When x=1/2
1)2\left | X \right | - \left | -X \right |=2\left | \frac{1}{2} \right | - \left | -\frac{1}{2} \right |
=1/2
2)2\left | X \right | - \left | -X \right |=2\left | 3 \right | - \left | -3 \right |
=3

Ans is (1/2 . 3)
Option B is correct.
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