McGraw-Hill Education GRE 2019

The price of home x is 80% of the price of home y.

QUANTITY A QUANTITY B

8. A B C D

Exercise Answers

Discrete Quantitative Questions

1. C To calculate percent, use the following formula: (part/whole) = 100 p. In this
   question, 3.4 is the part and 1,000 is the whole. Plug these values into the
   formula and arrive at 0.34.


2. 450 Since this question has variables in the choices, a good strategy is to plug
   in a value for y. To make the math simpler, choose a value for y that will divide
   evenly by 50, 25, and 75: 150. After plugging in 150 for y, the question is 3 + 6
   is what percent of 2? Use the percent formula:
   92 = 100 p
   92 × 100 = p
   450 = p


3. C Since this question gives only percents and no actual amounts, plugging
   in is a useful strategy. Choose a value for the original price of the shirt: 100.
   After a 20% reduction, the price of the shirt is 80. Taking 40% away from 80
   is the same as keeping 60% of 80, so to calculate the price of the shirt after the
   second reduction, do 0.6(80) = 48. 48 is 48% of 100.


4. E Solution: Plug in values. Let b = 100. If b = 100, then
   10% of a = 25% of 100 = 25
   ↓
   0.1a = 25
   a = 0.1^25
   a = 250
   Now use the percent formula: 250 is the part and 150 is the whole:
   250100 = 100 p
   250100 × 100 = p
   p = 250


5. D Let the price of the home in 1927 = $100. The price of the home in 1957 is
   therefore $100 + 3($100) = $400. The price of the home in 1997 is therefore
   $400 + 2($400) = $1,200. Now, we need to determine 1,200 is what percent
   greater than 100. Use the percent greater formula: % greater = % of – 100% =
   (^1200100 ) × 100 – 100% = 1,100%.

The price of home x

after a 20% increase

The price of home y

238 PART 4 ■ MATH REVIEW

03-GRE-Test-2018_173-312.indd 238 12/05/17 11:52 am