SOLUTION: Based on Property 4, you should multiply the average and the
number of items in the set. From Property 2, you know that the average of
an evenly spaced set equals the average of the endpoints: 180 + 4 2 = 92. Using
Property 3, you can determine the number of items:
180 – 4
2 + 1 = 89
SOLUTION: A × N = S, so 92 × 89 = S = 8,188.
Quantitative Comparison Strategy: Evenly Spaced Sets
Many Quantitative Comparison questions testing evenly spaced sets will give you
large sets of values. As is always the case with Quantitative Comparison questions,
you should minimize calculations by comparing the quantities and identifying
what terms they have in common:
QUANTITY A QUANTITY B
A B C D
SOLUTION: Instead of calculating, identify similarities between the two
columns.
Quantity A can be rewritten as: (1 + 2 + 3... 6) + (7 + 8... 28).
Quantity B can be rewritten as: (7 + 8... 28) + 29.
SOLUTION: The two quantities share the sum of the terms from 7–28, inclusive.
You can thus subtract this sum from both quantities. The new comparison is:
QUANTITY A QUANTITY B
1 + 2 + 3 + 4 + 5 + 6 29 A B C D
SOLUTION: The value in Quantity A = 21. 21 < 29, so Quantity B is greater.
The sum of the
in tegers from 1–28,
inclusive
The sum of the
integers from 7–29,
inclusive
200 PART 4 ■ MATH REVIEW
03-GRE-Test-2018_173-312.indd 200 23/01/18 11:03 AM