- B Let t = total games played. The number of games won = 107 (50) + (^12 )(t – 50).
Since the team won^58 of all games played, we can create the equation:
7
10 (50) + (
1
2 )(t – 50) =5
8 (t)
Simplify:
35 + t 2 – 25 =^58 (t) → 10 + t 2 =^58 (t) → 10 =^58 (t) – 2 t → 10 =^58 (t) –^48 (t) → 10 = 8 t
→ 80 = t.- D To yield an even sum, the terms being added must both be odd or both be
even. Since 4bc has a factor of 4, it must be even. Therefore, 3a must be even.
For 3a to be even, a must be even. If a is even, then it is not possible for ac to
be odd. - 192 Let w = the width. Thus, the length is w + 4. Since the diagonal of a
rectangle forms a right triangle whose legs are the sides of the rectangle, we
can use the Pythagorean theorem: w^2 + (w + 4)^2 = 202 → w^2 + w^2 + 8w + 16 =
400 → 2 w^2 + 8w + 16 = 400 → w^2 + 4w + 8 = 200 → w^2 + 4 w − 192 = 0 →
(w + 16)(w − 12) = 0 → w = 12 (since w must be positive), and the length = 16.
Therefore, the rectangle’s area is 16 × 12 = 192. - D Wheel A makes 4 more revolutions each minute than does Wheel B. Thus:
4t = 480 → t = 120. 120 minutes = 2 hours. - D and E Assume that^34 of the employees were women. In this case, the average
salary for all employees would be^34 × 60,000 + (^14 ) × 50,000 = $57,500. Since
the number of female employees accounts for more than^34 of all employees, the
average for all employees must be greater than $57,500. - B In 2003, computer sales accounted for approximately 27% of all revenues.
If laptop computers accounted for^34 of these sales, then non-laptop computers
accounted for^14 of these sales.^14 (27%) = 6.75%. Among the choices, the value
closest to 6.75% is 7%. - B Since phones represented 27.5% of all revenue in 2013, you can create the
equation: $25 million = .275x, where x = the total revenue in 2013. Solve for
x: $25 million/.275 = $90.9 million. Finally, since revenue from computers
account for approximately 36% of all revenue in 2013, take 36% of $90.9
million: .36(90.9) = $32.7 million. Among the choices, the value closest to 32.7
million is 32 million. - C In 2003, music players accounted for approximately 22% of all revenue. In
2013, music players accounted for approximately 13% of all revenue. 13 is what
percent less than 22? Use the percent decrease formula:
(differenceoriginal) × 100 = ( 229 ) × 100 = 40.9%
Among the choices, the value closest to 40.9% is 40%.”
CHAPTER 16 ■ PRACTICE TEST 2 57305-GRE-Test-2018_463-582.indd 573 12/05/17 12:14 pm