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

The correct answer is: C)
To satisfy the conditions of the problem, x must be a factor of 72 less than 10, which are 1, 2, 3, 4, 6, 8, and 9.
1:721−12:722−23:723−34:724−46:726−68:728−89:729−9=71=34=21=14=6=1=−1
Therefore, 6 integer values less than 10 for x produce positive integer values for y.

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

The correct answer is: C)
Three-quarters or 75% of 200 dozen is 150 dozen cookies that were sold by 3 in the afternoon, leaving 50 dozen unsold.
10 percent of 50 dozen is 5 dozen, so 10 dozen were sold between 3 in the afternoon and closing time, leaving 200 – 150 – 10 = 40 dozen unsold at closing time.

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

The correct answer is: B)
(1) To find the value of x requires a single value for x or y. This statement only provides a minimum value, and so the question cannot be answered; NOT SUFFICIENT.
(2) Substitute the given value of y in terms of x, which is y=43x, to produce the equation 43x–x=45 which can be solved for the single variable of x as equal to 105; SUFFICIENT.
The correct answer is B; statement 2 alone is 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

The correct answer is: A)
(1) That x2+y2=16 indicates that both x and y must be between – 4 and 4 inclusive as all squares must be positive values; SUFFICIENT.
(2) Subtract y from each side of the inequality to produce x2≤16–y. Because there is no limit on the value of y, there is no limit on the value of x, and so the answer cannot be answered definitively; NOT SUFFICIENT.
The correct answer is A; statement 1 alone is 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

The correct answer is: E)
Area of the curved surface = 2πrh where r and h are the radius of the base and the height of the cylinder respectively and the area of the base touching water is πr2.
(1) 13h=d=2r hence r=16h or h=6r, but no values are provided for either variable; NOT sufficient.
(2) The ratio = πr22πrh=r2h=112, and r in terms of h is r=h6; NOT SUFFICIENT.
(Together) Both statements produce the same equation r=h6 for two unknowns; NOT sufficient.
The correct answer is E; both statements together are still not sufficient.

EA - Executive Assesment Practice Test

EA - Executive Assesment Practice Test

Free EA Quantitative Problems Question and Answers