FREE EA Quantitative Problems Question and Answers

Question 1

Division & Factoring
If 72x−x=y and x is a positive integer less than 10, how many positive integer values are possible for y?

Accepted Answer

6

Answer

A )9

Answer

7

Answer

2

Answer

1

Question 2

Fractions and Decimals
A pastry shop began yesterday with 200 dozen cookies available for sale. Three-quarters of the cookies were sold by 3 in the afternoon, and 20 percent of the remaining cookies were sold between then and closing time.
How many dozen cookies had not been sold when the pastry shop closed yesterday?

Accepted Answer

40

Answer

10

Answer

20

Answer

50

Answer

600

Question 3

Percentages (Data Sufficiency)
If x is 75 percent of y, what is the value of x ?
(1) y>300
(2) y–x=45

Accepted Answer

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

Answer

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

Answer

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

Answer

EACH statement ALONE is sufficient.

Answer

Statements (1) and (2) TOGETHER are not sufficient.

Question 4

Exponents & Radicals (Data Sufficiency)
Is –4≤x≤4 ?
(1) x2+y2=16
(2) x2+y≤16

Accepted Answer

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

Answer

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

Answer

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

Answer

EACH statement ALONE is sufficient.

Answer

Statements (1) and (2) TOGETHER are not sufficient.

Question 5

Geometry (Data Sufficiency)
Three-quarters of a cylindrical tank is filled with water.
What is the area of the tank’s surface that is in contact with the water?
(1) The diameter of the tank is a third of the height of the tank.
(2) The ratio of the base area to that of the curved surface is 1 to 12.

Accepted Answer

Statements (1) and (2) TOGETHER are not sufficient.

Answer

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

Answer

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

Answer

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

Answer

EACH statement ALONE is sufficient.

Question 6

Inequalities
How many integers n are there such that 1<4n+4<24?

Accepted Answer

5

Answer

1

Answer

2

Answer

3

Answer

4

Question 7

Verbal – Sentence Correction
Bees play important roles in the environment, including germinating agricultural crops, such as apples, melons, and cranberries; supporting food supplies of wild animals by pollinating berry-, seed-, and nut-bearing plants; and produce honey, a nutritious food for animals, insects, and humans alike.

Accepted Answer

supporting food supplies of wild animals by pollinating berry-, seed-, and nut-bearing plants; and producing

Answer

supporting food supplies of wild animals by pollinating berry-, seed-, and nut-bearing plants; and produce

Answer

supporting food supplies of wild animals by pollinating berry-, seed-, and nut-bearing plants; and they produced

Answer

they support food supplies of wild animals by pollinating berry-, seed-, and nut-bearing plants; yet producing

Answer

they support food supplies of wild animals by pollinating berry-, seed-, and nut-bearing plants; producing

Question 8

Verbal – Sentence Correction
This is an age where ephemeral work will likely even endure far longer than was once possible, at least in some form.

Accepted Answer

in which even ephemeral work will likely endure far longer

Answer

where ephemeral work will likely even endure far longer

Answer

where even ephemeral work will likely endure more

Answer

in which ephemeral work will likely even endure more

Answer

where ephemeral work likely will endure far more

Question 9

Question 1: Which of the following best describes the trajectory of the passage?

Accepted Answer

Attention is called to a disconnect between the way in which a crisis has been memorialized and the reality of that crisis; steps are taken to resolve that disconnect.

Answer

A series of proposals are put forward concerning the best way to address a crisis; one such proposal is approved and acted upon.

Answer

An oversight is detected and quickly addressed; the way in which the oversight is resolved is questioned.

Answer

Several possible responses to a crisis are evaluated; no solution is immediately reached.

Answer

Conventional wisdom about a national tragedy is discussed; new research confirms that perspective.

Question 10

If neither x nor y is equal to 0, is 3x−2y=0?
(1) 27x3−8y3=0
(2) 9x2−4y2=0

Accepted Answer

Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient to answer the question asked.

Answer

Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient to answer the question asked.

Answer

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

Answer

EACH statement ALONE is sufficient to answer the question asked.

Answer

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.