GMAT Quantitative Section Practice 4

Question 1: If x⁴ = 2y² and 4y = 8, what is the value of x⁴ + 2y?

8
10
12
14
16

Question 2: The numbers drawn by a state lottery are 2, 3, a, b, 6, 7. What is the number a, if:

(1) the average of all numbers is 5.

(2) a < b

Statement (1) ALONE is sufficient, but statement (2) is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.

Question 3: What is the circumference of circle O from the figure below if the length of the sides of the ABCD square is 5 inches?

10·¶ inches
15/¶ inches
1/¶ inches
8·¶ inches
10 inches

Question 4: A number is increased 50% and the resulting number is decreased 50%. The final number is what percentage of the original number?

50%
80%
100%
75%
105%

Question 5: $100,000 are shared between John, Michael and Ed. How much did Michael receive?

(1) John received 3 times more than Ed.

(2) Ed received 4 times more than Michael.

(a) Statement (1) ALONE is sufficient, but statement (2) is not sufficient.
(b) Statement (2) ALONE is sufficient, but statement (1) is not sufficient.
(c) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
(d) EACH statement ALONE is sufficient.
(e) Statements (1) and (2) TOGETHER are NOT sufficient.

Question 6: Does 2m - 3n = 0?

(1) m ≠ n

(2) 6m = 9n

(a) Statement (1) ALONE is sufficient, but statement (2) is not sufficient.
(b) Statement (2) ALONE is sufficient, but statement (1) is not sufficient.
(c) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
(d) EACH statement ALONE is sufficient.
(e) Statements (1) and (2) TOGETHER are NOT sufficient.

Question 7: If two of the edges of a triangle are 5 inches and 8 inches, which of the following can be the length of the third edge?

2 inches
3 inches
6 inches
13 inches
17 inches

Question 8: Is x < 0?

(1) -2x > 0

(2) x³ < 0

(a) Statement (1) ALONE is sufficient, but statement (2) is not sufficient.
(b) Statement (2) ALONE is sufficient, but statement (1) is not sufficient.
(c) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
(d) EACH statement ALONE is sufficient.
(e) Statements (1) and (2) TOGETHER are NOT sufficient.

Question 9: If half of the money in a mutual fund was invested in stocks, one fifth in bonds and the remaining $300,000 in cash, what was the total amount of the mutual fund?

$1,800,000
$2,200,000
$2,600,000
$1,000,000
$4,000,000

Question 10: In the figure below, what is the value of angle a?

(1) Angle b is 120^o

(2) The triangle created by the 3 lines is equilateral.

(a) Statement (1) ALONE is sufficient, but statement (2) is not sufficient.
(b) Statement (2) ALONE is sufficient, but statement (1) is not sufficient.
(c) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
(d) EACH statement ALONE is sufficient.
(e) Statements (1) and (2) TOGETHER are NOT sufficient.

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