Bunuel wrote:
For all numbers x, the operation <> is defined by <x> = x - x/5. If <<w>> = 32, then what is the value of w ?
(A) 15
(B) 25
(C) 35
(D) 50
(E) 60
Instead of solving explicitly, we'll just try the different answers.
This is an Alternative approach.
Let's start with the median - C.
If w = 35 then <w> = 35 - 7 = 28 so <<w>> must be smaller than 28.
Impossible! (C) is eliminated along with the smaller (A) and (B).
Let's try (D): if w=50 then <w> = 50 - 10 = 40 and <<w>> = 40 - 8 = 32.
Yes!
(D) is our answer.
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