Quantitative Reasoning MCQs

Question 1

Apex Car Rental company charges a flat fee of $40.00 per day plus $0.75 per mile to rent a car. Jason Car Rental company charges a flat fee of $64.00 per day plus $0.60 per mile to rent a car. If a car is rented for three days, at how many miles would the rental charges of the two companies be the same?

Accepted Answer

480

Answer

450

Answer

420

Answer

380

Question 2

To join Ace Gym, one must pay a $180 membership fee plus dues of $35 per month. To join Best Gym, one must pay a $300 membership fee plus dues of $23 per month. At how many months would the total cost of either gym be the same?

Accepted Answer

10

Answer

7

Answer

8

Answer

9

Question 3

At a county fair the admission is $8.00 and each ride costs $1.25. If you go to the fair with $20.00, what is the maximum number of rides you can go on?

Accepted Answer

10

Answer

8

Answer

9

Answer

11

Question 4

A car averages 18 miles per gallon of gas for city driving and 27 miles per gallon of gas for highway driving. What is the total number of gallons of gas needed to drive 6x miles in the city and 18x miles on the highway?

Accepted Answer

x

Answer

2x

Answer

3.5x

Answer

4.5x

Question 5

The smallest integer that, when squared, is less than 5 is

Accepted Answer

None of these

Answer

0

Answer

2

Answer

1

Question 6

In which of triples the central number is strictly in the middle between two others.

Accepted Answer

⅓, ½, ⅔

Answer

½, ⅓, ¼

Answer

12, 21, 32

Answer

3, 7, 13

Question 7

Which of the following shows correct value of x, such that the two expressions given below are equal. I) a+b - c/x + 4c - 3a + 2b/b II) a+b + 4c + 2b/b - c/a - 3a

Accepted Answer

a

Answer

c

Answer

b

Answer

2

Question 8

100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit or loss is:

Accepted Answer

14 2/7 % gain

Answer

15 % gain

Answer

14 2/7 % loss

Answer

15 % loss

Question 9

A container that can hold 12 litres is 3/4 full. How much will it contain after 4 litres has been poured out of it?

Accepted Answer

5

Answer

6

Answer

8

Answer

12

Question 10

The daily totals of enrollments at Sunnyside Summer Camp last Monday through Saturday were 17, 19, 23, 14, 25, and 28. What was the average number of enrollements per day?

Accepted Answer

21

Answer

126

Answer

28

Answer

18

Question 11

43, 83, 54, 35, 77, x, y If the median of the set of numbers is 54 and the mean is 56, which of the following could be the values of x and y?

Accepted Answer

41 and 59

Answer

65 and 72

Answer

56 and 80

Answer

21 and 52

Question 12

Given the graph below in the standard (x,y) coordinate plane, the slope of line a is ma and the slope of line b is mb. Which of the following statements about the slope of lines a and b is true?

Accepted Answer

ma= - 1/ mb

Answer

ma+mb=0

Answer

-I/2ma = mb

Answer

ma-1=mb

Answer

ma - mb = 0

Question 13

What is the slope-intercept form of 6x - 2y - 4 = 0?

Accepted Answer

y = 3x-2

Answer

y=6x-2

Answer

y = 3x + 2

Answer

y = −6x - 4

Question 14

For a certain quadratic equation, ax2 + bx + c = 0, the 2 solutions are x = ¾ and x =-⅖ . Which of the following could be factors of ax2 + bx + c?

Accepted Answer

(4x-3) AND (5x+2)

Answer

(4x2) AND (5x+3)

Answer

(4x+2) AND (5x-3)

Answer

(4x+3) AND (5x-2)

Answer

(4x+3) AND (5x+2)

Question 15

|2x+1|=5 If a and b are the solutions to the equation above, wat is the value of |a-b|?

Accepted Answer

5

Answer

-5

Answer

1

Answer

-1

Question 16

During a portion of a flight, a small airplane's cruising speed varied between 150 miles per hour and 170 miles per hour. Which inequality best represents this situation, where s is the cruising speed, in miles per hour, during this portion of the flight?

Accepted Answer

150 ≤ s ≤ 170

Answer

s ≤ 20

Answer

s ≤ 150

Answer

s ≤ 170

Question 17

The scatterplot shows the densities of 7 planetoids, in grams per cubic centimeter, with respect to their average distances from the Sun in astronomical units (AU). The line of best fit is also shown.According to the scatterplot, which of the following statements is true about the relationship between a planetoid's average distance from the Sun and its density?

Accepted Answer

Planetoids that are more distant from the Sun tend to have lesser densities.

Answer

Planetoids that are more distant from the Sun tend to have greater densities.

Answer

The density of a planetoid that is twice as far from the Sun as another planetoid is half the density of that other planetoid.

Answer

The distance from a planetoid to the Sun is unrelated to its density.

Question 18

The formulas are used in medicine to estimate the body surface area A, in square meters, of infants and children whose weight w ranges between 3 and 30 kilograms and whose height h is measured in centimeters.If Mosteller's and Current's formulas give the same estimate for A, which of the following expressions is equivalent to √hw?

Accepted Answer

2(4 + w)

Answer

4 + w / 2

Answer

4 + w / 1,800

Answer

(4 + w)2 / 2

Question 19

A cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed. The base of the can has an area of 75 cm2, and the height of the can is 10 cm. If 110 cm3 of syrup is needed to fill the can to the top, which of the following is closest to the total volume of the pieces of fruit in the can?

Accepted Answer

640 cm3

Answer

7.5 cm3

Answer

185 cm3

Answer

750 cm3

Question 20

Beginning in the 1950s, Navajo Nation legislator Annie Dodge Wauneka continuously worked to promote public health; this _ effort involved traveling throughout the vast Navajo homeland and writing a medical dictionary for speakers of Diné bizaad, the Navajo language. Which choice completes the text with the most logical and precise word or phrase

Accepted Answer

persistent

Answer

impartial

Answer

Offhand

Answer

mandatory

Free Quantitative Reasoning MCQs with Answers