- B It might be tempting to use your calculator to determine the value of both
columns. However, it is important to recognize that Quantitative Comparison
questions will almost never require such time-intensive calculations. The more
efficient approach is to see how the factors in the two columns differ. Rewrite
the following as:
Quantity A → (20 × 21 × 22... 72) × 73
Quantity B → 18 × 19 × (20 × 21 × 22... 72)
Note that the two quantities share the factors of 20–72, inclusive. Thus the
real quantities to be compared are 73 in Column A and 18 × 19 in Column B.
(18 × 19) is greater than 73. - A To determine the y-intercept of the line, substitute 0 for x and solve for y.
Thus:
2 y + 3(0) = 6
2 y = 6
y = 3
To determine the x-intercept of the line, substitute 0 for y and solve for x. Thus:
2(0) + 3x = 6
3 x = 6
x = 2
The y-intercept of the line is 3 and the x-intercept is 2. Quantity A is greater. - B Substitute values. Let the length of rectangle y = 10. The length of rectangle
x is thus 1.2(10) = 12. Let the width of rectangle y = 10. The width of rectangle
x is thus 0.8(10) = 8. The area of rectangle x is thus 12 × 8 = 96. The area of
rectangle y is thus 10 × 10 = 100. The area of rectangle y is greater. - B Substitute (a − 2) for x in the function and arrive at:
f(a − 2) = 3(a − 2 + 2) + 5
= 3a + 5 - B If the ratio of stocks to bonds is 5:3, then you can represent the number of
stocks as 5x, where x is an integer, and the number of bonds as 3x. Therefore,
the total number of stocks and bonds will be 8x. Since x is an integer, the
sum must be a multiple of 8. Of the choices, 50 is the only value that is not a
multiple of 8. - 3 Since you are solving for x, isolate the variable by multiplying both sides of
the inequality by 25^6. The inequality now reads:^125
x
256 < 1. Next, rewrite 125
x as
(5^3 )x = 5^3 x, and rewrite 25^6 a s (5^2 )^6 = 5^12. The inequality now reads: 125x < 25^6.
Because the bases are the same:
3 x < 12
x < 4
If x < 4, the greatest possible integer value for x is 3.CHAPTER 2 ■ GRE DIAGNOSTIC TEST 6501-GRE-Test-2018_001-106.indd 65 12/05/17 11:38 am