14. 26.8% To determine the average revenue per t-shirt in a given year,
use the formula: total revenue/number of t-shirts. For 2012, this comes
out to $2.4 million/43,000 = ~$55.81. For 2011, this comes out to
$1.1 million/25,000 = $44. Now, use the percent greater formula:
(larger – smaller)/smaller ∗ 100. Plugging in the values, we arrive at:
[(55.81 – 44)/44] ∗ 100 = ~26. 8%.- B A 50% increase in the 2012 revenue would equal 0.5($2.4 million) =
$1.2 million. To determine how this increase would affect the average for all
6 years, divide the total increase by the number of years: $1.2 million/6 years =
$200,000. - B The total revenue from the shirts priced at $30 was 0.75(48,000)($30) =
$1.08 million. The total revenue from the other 12,000 shirts thus equals
$2.6 million – $1.08 million = $1.52 million. The revenue per shirt for the
remaining 25% of the shirts thus equals total revenue/ number of shirts =
$1.52 million/12,000 = $126.66. The closest answer is B. - C A simple way to answer this question is to choose values. Let x = 20, and
let y = 100. Based on these values, her income last week was $2,000. If she
reduces her hours by 20%, then the new number of hours worked will equal
20(0.8) = 16. The new hourly wage, h, will be such that 16h = 2,000. Solve for h:
2,000/16 = $125. $125 is 25% greater than $100. Her hourly wage will thus
have to increase by 25%. - B The prime numbers from 1‒6 are 2, 3, and 5. The probability that the die
will land on a prime number on any one roll is thus^36 = 12. For the die to land
on a prime number on 3 consecutive rolls, multiply the probability that each
individual event will occur: 0.5 ∗ 0.5 ∗ 0.5 = 0.125. - 27 The fastest way to answer this question is to choose a value for the edge
of the original cube. Let’s assign the value 2. In that case, the volume of
the original cube = 23 = 8. If the edge length of the original cube was 2, then
the edge length of the new cube = 2 ∗ 3 = 6. The volume of the new cube thus =
63 = 216. Finally, to determine how many times greater the volume of the new
cube is, divide 216 by 8 to arrive at 27. - E Let the number of apples and bananas removed = x. In that case, we
can create the proportion: (new number apples)/(new number bananas) =
(50 – x)/(30 – x) = 51. Cross-multiply to arrive at:
50 – x = 150 – 5x. Isolate x: 4x = 100 →x = 25.
CHAPTER 2 ■ GRE DIAGNOSTIC TEST 7101-GRE-Test-2018_001-106.indd 71 12/05/17 11:38 am