2 x < 100
QUANTITY A QUANTITY B
A B C DSOLUTION: Instead of solving for x, you should see whether the value in
Column B will satisfy the given information, and make inferences about
x from that relationship. If x = 6, then 2^6 = 64. Since 64 < 100, you know
that 6 is a possible value for x. The correct answer is Choice C or D. Now to
determine whether you can identify a counterexample, plug in an integer
value larger than 6 for x. If x = 7, then 2x = 2^7 = 128. 128 > 100, so 7 is too
large of a value for x. Thus the greatest integer value for x must be 6. The
answer is Choice C.After a 20% reduction, the price of a shirt is more than $100.
QUANTITY A QUANTITY B
A B C DSOLUTION: Doing this question algebraically is certainly an option, but an
alternative approach is to plug the value in Quantity B into the original
equation and see how it compares to the given information. If the original
price of the shirt was $120, then after a 20% reduction, the price of the shirt
would be 0.8(120) = $96. Since the reduced price of the shirt must be more
than $100, the original price of the shirt must be more than $120. Thus the
value in Quantity A is greater.The greatest integer
value for x6
The original price of
the shirt120
CHAPTER 8 ■ QUANTITATIVE COMPARISON STRATEGIES 16702-GRE-Test-2018_107-172.indd 167 13/05/17 11:06 am