53rd to 55th B.P.S.C. (Pre) 2011

Find the value of $x - [y - \{z - (x - \overline{y-z})\}]$

a$x + y + z$
b$x - y - z$
c1
d0✓ Correct

Explanation

$x - [y - \{z - (x - \overline{y-z})\}]$ $= x - [y - \{z - (x - y + z)\}]$ $= x - [y - \{z - x + y - z\}]$ $= x - [y - z + x - y + z]$ $= x - y + z - x + y - z]$ $= 0$

general-mental-ability