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Admission Tests GMAT - Graduate Management Admission Test (2022)

Page: 5 / 11
Total 465 questions

If x, y, and z are positive integers and x3y4 = z, what is the value of x?

(1)

y = 2

(2)

z = 2,000

A.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B.

Statement (2) ALONE is sufficient, but statement (1) alone 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.

If r and m are positive integers,

what is the value of?

(1)

r – m = 2

(2)

r = 2m

A.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B.

Statement (2) ALONE is sufficient, but statement (1) alone 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.

(1) x is an even integer. (2)* Is greater than 0.

A.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B.

Statement (2) ALONE is sufficient, but statement (1) alone 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.

A.

50

B.

60

C.

70

D.

80

E.

90

If x, y, and z are integers greater than 1, what is the value of x + y + z?

(1)

xyz = 154

(2)

x – y – z = 2

A.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B.

Statement (2) ALONE is sufficient, but statement (1) alone 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.

Akira’s monthly income consists of his monthly salary of $3,200 plus a 6 percent commission on the portion of his monthly sales that is in excess of $3,000. If Akira’s monthly income was $3,320 in March and $3,620 in April, what was the total amount of his sales in March and April?

A.

$9,900

B.

$10,500

C.

$12,000

D.

$15,000

E.

$18,900

A.

2

B.

4

C.

6

D.

8

E.

10

The average (arithmetic mean) of the 5 numbers in set *is greater than the median of the 5 numbers in set X, and the average of the 7 numbers in set Yis greater than the median of the 7 numbers In set Y. If the two sets have no numbers in common and If they are combined to form set Z, Is the average of the 12 numbers In set /greater than Hie median of the 12 numbers in set Z?

(1) The average of the numbers in set Kis greater than the average of the numbers in set X.

(2) The median of the numbers in set Y\s greater than the median of the numbers in set X,

A.

Statement (1) ALONE is sufficient, but statement (2) alone Is not sufficient.

B.

Statement (2) ALONE is sufficient, but statement (1) alone 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.

A certain state charges no sales tax on food, but charges a sales tax of 2 percent on clothing and a sales tax of 6 percent on all other items. In this state Sarah purchased items with a total price, before tax, of $210, which Included $45 for food items and $90 for dothing items. The total sales tax on the items Sarah purchased was what percent of the total price of $210 ?

A.

2.7%

B.

3.0%

C.

3.4%

D.

3.6%

E.

4.0%

Was the median height of the 25 children in a certain class at least 2 percent greater than the average (arithmetic mean) height of the 25 children?

(1) The median height of the 25 children was 2 centimetefs greater than their average height.

(2) The sun of the heights of the 25 children was less than 2,550 centimeters.

A.

Statement (1) ALONE is sufficient but statement (2) alone Is not sufficient.

B.

Statement (2) ALONE is sufficient, but statement (1) alone is not suf ficient.

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.