GRE Test Exam Questions and Answers | Exam-Dumps (Page: 14)

QUESTION: 105

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The circle shown has center O and radius 11. If PR = 12, what is the area of triangle PQR?

Give your answer to the nearest 10. (Enter your answer as an integer or a decimal in the answer box.
Backspace to erase.)

110

Answer(s): A

Explanation:

Radius of the circle = 11

Diameter (QR) = 2 × 11 = 22

Leg PR = 12

Since QR is the diameter, and PQR is a right triangle, we can use the Pythagorean Theorem to find PQ.

Compute the Area of Triangle PQR:

Area 110

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QUESTION: 106

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The sequence a1, a2, a3, ..., ak, ... is defined by a1 = 1 and ak = ak-1 +3 for all integers k 2.
What is the remainder when a2009 is divided by 9? (Enter your answer as an integer or a decimal in the answer box.
Backspace to erase.)

4

Answer(s): A

Explanation:

The recurrence relation ak = ak-1 + 3 means each term increases by 3 from the previous one. Starting from a1 = 1, we have:

a2 = a1 + 3 = 1 + 3 = 4
a3 = a2 + 3 = 4 + 3 = 7
a4 = a3 + 3 = 7 + 3 = 10
a5 = a4 + 3 = 10 + 3 = 13
...
In general, the k-th term of the sequence is:

ak = 1 + (k - 1) × 3 = 3k - 2

Using the formula ak = 3k - 2, we calculate a2009:

a2009 = 3 × 2009 - 2 = 6027 - 2 = 6025

To find the remainder when 6025 is divided by 9, we perform the division:

6025 ÷ 9 = 669 remainder 4

Thus, the remainder when a2009 = 6025 is divided by 9 is 4.

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QUESTION: 107

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The admission price for each child at a certain zoo is of the admission price for each adult. If the admission price for 10 adults and 3 children is $210.80, what is the admission price for each adult? (Enter your answer as an integer or a decimal in the answer box. Backspace to erase.)

17

Answer(s): A

Explanation:

The equation for the total cost can be written as:

To combine these terms, we need a common denominator. The common denominator between 1 and 5 is 5, so rewrite 10x as

Now, combine the terms on the left-hand side:

62x = 210.80 × 5
62x = 1054

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QUESTION: 108

What was the range of the average amounts spent per visit at Mall Q in 1998 for the seven age-groups?

$9
$10
$22
$31
$33

Answer(s): E

Explanation:

From the graph, the seven average amounts spent per visit are 39, 51, 60, 70, 72, 62, 48 dollars.
Maximum = 72
Minimum = 39
Range = 72 - 39 = 33 dollars.

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QUESTION: 109

For the 45-54 age-group, the average amount spent per visit at Mall Q in 1998 was what percent greater than the corresponding amount for the 25-34 age-group?

12%
17%
20%
25%
30%

Answer(s): C

Explanation:

For the 45 - 54 age-group the average spent per visit was $72.
For the 25 - 34 age-group it was $60.
Difference = 72 - 60 = $12.
Percent greater = 12 ÷ 60 = 0.20 = 20%.

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QUESTION: 110

For the 18-24 age-group, the average amount spent per person at Mall Q in 1998 was closest to which of the following fractions of the corresponding amount for the 25-34 age-group?

Answer(s): D

Explanation:

Average per person = (average visits per person) × (average amount per visit)

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QUESTION: 111

In 2003, what was the ratio of the number of in-store purchases paid for either by check or by credit card to the number of in-store purchases paid for in cash?

52 to 33
36 to 31
33 to 31
31 to 21
12 to 11

Answer(s): E

Explanation:

Get the percentages from the graph (for 2003):
Check = 15%
Credit Card = 21%
Cash = 33%
Add check and credit card:
15% + 21% = 36%
So we are comparing:
36 (check + credit)
33 (cash)
Write the ratio:
36 : 33, or 12 : 11

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QUESTION: 112

If the distribution of the number of in-store purchases in 2003 by method of payment is to be represented by a circle graph with a radius of 3.2 centimeters, approximately what will be the length, in centimeters, of the area of the sector representing payment by credit card?

4.2
4.8
5.4
6.0
6.4

Answer(s): A

Explanation:

From the graph, in 2003:

Credit card purchases = 21% = 0.21
Use arc length formula:
Arc length = (fraction of circle) × (circumference)
Circumference of a circle = 2r r = 3.2 cm 2(3.2) = 6.4 6.4 × 3.14 = 20.1 cm
Arc length = 0.21 × 20.1 4.221 cm

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GRE GRE Test Exam (page: 14) GRE Graduate Record Examination Test: Verbal, Quantitative, Analytical Writing Updated on: 15-Feb-2026

QUESTION: 105

Explanation:

QUESTION: 106

Explanation:

QUESTION: 107

Explanation:

QUESTION: 108

Explanation:

QUESTION: 109

Explanation:

QUESTION: 110

Explanation:

QUESTION: 111

Explanation:

QUESTION: 112

Explanation:

GRE GRE Test Exam (page: 14)
GRE Graduate Record Examination Test: Verbal, Quantitative, Analytical Writing
Updated on: 15-Feb-2026