Quant. Reasoning Test #1

C. 50 minutes

A 3000-gallon tank has a valve at the top that takes in gasoline at a rate of 50 gallons per minute, and a spigot at the bottom that empties it at a rate of 20 gallons per minute. If the tank is initially empty, and the valve and the spigot are open, how long it will take to fill half the tank? A. 30 minutes B. 45 minutes C. 50 minutes D. 55 minutes E. 65 minutes

C. The two quantities are equal.

A and B are two independent events. A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.

B. 126

A committee of 4 people is to be selected from a group of 9. If the selection is made randomly, how many different groups can be made? A. 24 B. 126 C. 3024 D. 6561 E. 15120

A. μ = 200 g, σ = 14 g

A lab researcher weighed 50 lab mice and found the mean to be 100 g and the standard deviation to be 7 g. To adjust for inaccuracies, the researcher multiplied each weight by 2. What is the new mean and standard deviation of the new set of data? A. μ = 200 g, σ = 14 g B. μ = 200 g, σ = 7 g C. μ = 200 g, σ = 9 g D. μ = 200 g, σ = 9 g E. μ = 100 g, σ = 14 g

C. Both statements 1) and 2) together are sufficient to answer the question but neither statement is sufficient alone.

A poll was taken of 82 people on their favorite ice cream flavors. How many people chose strawberry as their favorite flavor? 1) Twenty-one people chose chocolate as their favorite flavor, and twice as many chose vanilla. 2) Seven times more people chose vanilla than mango. A. Statement 1) alone is sufficient but statement 2) alone is NOT sufficient to answer the question. B. Statement 2) alone is sufficient but statement 1) alone is NOT sufficient to answer the question. C. Both statements 1) and 2) together are sufficient to answer the question but neither statement is sufficient alone. D. Each statement alone is sufficient to answer the question. E. Statements 1) and 2) together are not sufficient to answer the question.

C. 7/26

A sock drawer contains 7 red socks, 4 blue socks and 2 yellow socks. What is the probability that two socks selected at random, without replacement, are both red? A. 1/4 B. 49/169 C. 7/26 D. 49/156 E. 5/26

A. Quantity A is greater.

A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.

B. Quantity B is greater.

A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.

A. Quantity A is greater.

After the final exam, the teacher of the Physics 101 class graphed the score distribution of the class. A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.

D. 36√3

An equilateral triangle has sides of length 12. What is its area? A. 24√2 B. 24√3 C. 36 D. 36√3 E. 72

E. 40

Currently, Tommy is five times as old as Bianca. In eight years, Tommy will only be three times as old as Bianca. How old is Tommy right now? A. 8 B. 16 C. 24 D. 32 E. 40

E. $9.50

Dany has one $5 bill, ten quarters, and twice as many dimes as quarters. How much money does Dany have? A. $11.25 B. $7.50 C. $11.75 D. $10.50 E. $9.50

B. 25

Evaluate 5log2(32) A. 10 B. 25 C. 64/5 D. 64 E. 160

E. 0

Evaluate: A. 3 B. -3/2 C. 4 D. -4 E. 0

C. The two quantities are equal.

Examine the following set of numbers: {42, 17, 27, 22, 25, 4, 38} A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.

B. -7 < x < 12

Find a solution set for x: |5 - 2x| < 19 A. x > 7 B. -7 < x < 12 C. x < -7 or x > 12 D. x > -7 E. x > 7 or x < -12

C. 7

Find the smallest possible value for n that makes the following inequality true. A. 5 B. 6 C. 7 D. 8

D. 97.5%

For a college student at a particular university, the mean number of classes taken per semester is 4, with a standard deviation of 1. Assuming that the data taken at this university is normally distributed, what is the percentage of students that are taking 6 or less classes per semester? A. 2.5% B. 5% C. 95% D. 97.5% E. 99.7%

B. 16

For the month of June, Kevin sold an average of 18 popsicles on sunny days and an average of 6 popsicles on rainy days. Given that it rained one in every five days in June, how many popsicles did he sell on average per day in June? A. 17 B. 16 C. 18 D. 14 E. 13

B. 30 minutes

Hose A takes 45 minutes to fill the swimming pool. Hose B takes 1.5 hours to fill the same pool. How many minutes does it take to fill the swimming pool if both hoses are operating at the same time? A. 15 minutes B. 30 minutes C. 45 minutes D. 75 minutes E. 150 minutes

C. 24

How many four-digit numbers can be made from the following digits {1, 3, 5, 7} if no digits are repeated? A. 4 B. 16 C. 24 D. 120 E. 256

D. 300 miles

How much distance is covered by a train travelling at 120 miles per hour for 2.5 hours? A. 96 miles B. 160 miles C. 240 miles D. 300 miles

C. 6L

If a 4L solution is 80% concentrated lime juice and 20% water, how much 30% concentrated lime juice must be added so that the concentration of the resulting solution is 50% concentrated lime juice? A. 3L B. 4L C. 6L D. 8L E. 10L

D. 255

If each calculus class is 3 credit hours, and the total number of credit hours is calculated by the number of students multiplied by the number of credit hours for the course, what is the total number of credit hours for all three Professors teaching calculus during Semester 2? A. 85 B. 170 C. 225 D. 255

D. 1/8

If you pick three letters from the word ANTEATER with replacement, what is the probability that all three letters are vowels? A. 1/2 B. 1/4 C. 1/6 D. 1/8 E. 1/12

C. 115

In the figure below, lines l and m are parallel. What is the measure of angle x? A. 85 B. 100 C. 115 D. 120 E. 125

B. 2 units to the left, 3 units down

In which directions has the graph of y = |x + 2| - 3 moved in comparison to the graph of y = |x|? A. 2 units up, 3 units to the left B. 2 units to the left, 3 units down C. 2 units to the right, 3 units down D. 2 units to the right, 3 units down

A. 4

Out of a 50 member class, 36 play basketball, 18 play baseball, and 8 play both. How many members of the class do not play either sport? A. 4 B. 8 C. 10 D. 14 E. 18

B. -8 < x < 4

Solve the following inequality: |4(2 + x)| < 24 A. |x| < 4 B. -8 < x < 4 C. x > 8 D. -4 < x < 8 E. x < -4

D. 320 miles

Station X and Station Y are 480 miles apart. A train starts at a certain time from Station X headed towards Station Y at 60 mph. Two hours later, a train departs from Station Y headed towards Station X and 48 mph. How far from Station X do the two trains meet? A. 108 miles B. 180 miles C. 240 miles D. 320 miles E. 400 miles

C. 6

The volume and the surface area of a cube are equal. What is the edge length of the cube? A. 1 B. 4 C. 6 D. 9 E. 16

B. Statement 2) alone is sufficient but statement 1) alone is NOT sufficient to answer the question.

Thomas earns $1000 a week as a dental assistant. If Henry, who is another dental assistant, earns $25 an hour, who makes more in one week? 1) If Henry works over 40 hours a week, on top of his hourly pay, his boss gives him a $200 bonus. 2) Henry works 50 hours a week. A. Statement 1) alone is sufficient but statement 2) alone is NOT sufficient to answer the question. B. Statement 2) alone is sufficient but statement 1) alone is NOT sufficient to answer the question. C. Both statements 1) and 2) together are sufficient to answer the question but neither statement is sufficient alone. D. Each statement alone is sufficient to answer the question. E. Statements 1) and 2) together are not sufficient to answer the question.

A. 1/2

Two fair dice are rolled. What is the probability of rolling a sum that is odd? A. 1/2 B. 1/3 C. 17/36 D. 19/36 E. 1/4

B. 0.09

What is 0.5% of 12% of 150? A. 0.009 B. 0.09 C. 0.9 D. 9 E. 90

D. 148

What is g(3)? A. 36 B. 40 C. 144 D. 148 E. 196

B.

What is the equation of the circle with center O and radius 3 shown below? A. B. C. D.

D. Each statement alone is sufficient to answer the question.

What is the price of concert ticket A if the price of concert ticket A and concert ticket B together is $400? 1) The price of concert ticket B is $250 2) The price of two concert ticket As and four concert ticket Bs cost $1300 A. Statement 1) alone is sufficient but statement 2) alone is NOT sufficient to answer the question. B. Statement 2) alone is sufficient but statement 1) alone is NOT sufficient to answer the question. C. Both statements 1) and 2) together are sufficient to answer the question but neither statement is sufficient alone. D. Each statement alone is sufficient to answer the question. E. Statements 1) and 2) together are not sufficient to answer the question.

D.

What is the volume of a cylinder that has a radius of 2 inches and height of 8 inches? A. B. C. D.

A. 10y = 6x + 15

Which of the following equations forms a perpendicular line to the line 16 = 3y + 5x? A. 10y = 6x + 15 B. 4 = 3y + 5x C. y = -3x⁄5 + 8 D. 2x = 16 - 10y E. 5y = -x - 4

B.

Which of the following represents the union of the two sets A and B? A. B. C. D.