Last Updated on May 11, 2023
GMAT OFFICIAL GUIDE DS
Solution:
We need to determine the value of c. Following our table, we have:
a x c = f
b x c = h
and
c^2 = j
Statement One Alone:
c = f
Since c = f, we have:
a x c = c
ac – c = 0
c(a – 1) = 0
c = 0 or a = 1
We see that either c = 0 or a = 1 (if c ≠ 0). Since we don’t know whether c is 0, we cannot determine the value of c. Statement one alone is not sufficient to answer the question.
Statement Two Alone:
h ≠ 0
Since h is not zero, neither b nor c is zero. However, we still can’t determine the value of c. Statement two alone is not sufficient to answer the question.
Statements One and Two Together:
Using statement two, we know that c ≠ 0, and thus from statement one, a = 1. However, c can be any nonzero number, so we still cannot determine a value for c.
Answer: E
