An operation @ is defined by the equation a@b = (a – b) / (a…

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Last Updated on May 5, 2023

GMAT OFFICIAL GUIDE PS

Solution:

We are given that operation Ө is defined by aӨb = (a-b)/(a+b).

We are also given that aӨc = 0; thus, according to the operation, all instances of a can remain and all instances of b will be replaced with variable c. We then set that entire expression to zero.

(a-c)/(a+c) = 0

We can multiply both sides of the equation by a+c and then solve for a:

a – c = 0

a = c

Answer: E

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