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Question

Let x=4+4x Then x equals : (CAT 2005)
  1. 3


Solution

The correct option is C
Ans :(c)

x=4+4x
x2=4+4x;(x24)=4x
Only option c satisfies this condition.
Shortcut : Reverse Gear
X=4+a small value ( note the minus signs inbetween )
the answer is something slightly greater than 2 .
Look for an answer option, which is slightly greater than 2
(a) 3 is much greater than 2
(b) (131)2  1.1 (this can never be the answer)
(c) (13+1)2  2.2 (this is a possible answer)
(d) 13= something greater than 3. this is also not possible, as the value is too high

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