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Free Quantitative Reasoning MCQs with Answers

625 Quantitative Reasoning MCQs from Analytical and Logical Reasoning, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.

Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.

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625 questions · page 8 of 32

141. An empty 1,200 gallon tank is filled with water at a rate of 6 gallons of water per minute. At the same time, another 1,200 gallon tank full of water is being drained at a rate of 9 gallons per minute. How many minutes will it take for the amount of water in both tanks to become the same?

  • A. 60
  • B. 80
  • C. 100
  • D. 120

Explanation: To solve this problem, we need to equate the amount of water in both tanks after a certain time m minutes.Tank 1 starts empty and fills at…

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Correct answer: 80

142. At a bagel shop the first 6 bagels purchased cost 55 cents apiece, and additional bagels cost c cents apiece. If a customer paid $5.70 for 12 bagels, what is the value of c?

  • A. 25
  • B. 30
  • C. 35
  • D. 40

Explanation: The correct answer is Option D. The value of c is 40 cents. By calculating the total cost of the first 6 bagels and subtracting it from…

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Correct answer: 40

143. David used 1/10 of his monthly salary for groceries and 3/18 of his remaining money for his car payment. He also paid twice as much money for rent as for his car payment. If David has $1,620 left after paying for groceries, car payment, and rent, how much is his monthly salary?

  • A. $3,240
  • B. $3,320
  • C. $3,600
  • D. $3,480

Explanation: Let's denote David's monthly salary as x. He spends 1/10 of his salary on groceries, so the amount spent on groceries is x * 1/10 = x/10.

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Correct answer: $3,600

144. Adam and Betty purchased a printer together for $258. If Adam paid $18 less than twice of what Betty paid, how much money did Adam pay for the printer?

  • A. 172
  • B. 166
  • C. 158
  • D. 146

Explanation: To solve this problem, set up two equations based on the given information: Adam's payment as x and Betty's payment as y.

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Correct answer: 166

145. There are 28 tables for customers at Mesa Grill Restaurant. The tables are either two-seat tables or four-seat tables. When all the tables are full, there will be 90 customers in the restaurant. How many two-seat tables are at the restaurant?

  • A. 11
  • B. 13
  • C. 15
  • D. 17

Explanation: To solve this problem, set up two equations based on the information given:Let x be the number of two-seat tables and y be the number of…

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Correct answer: 11

146. In a game of basketball, a field goal is either 2 or 3 points. In a college basketball tournament, Jim made 73 more 2-point field goals than 3-point field goals. If he scored a total of 216 points in the tournament, how many 3-point field goals did he make?

  • A. 12
  • B. 14
  • C. 16
  • D. 18

Explanation: To find the number of 3-point field goals, let the number of 3-point field goals be y.

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Correct answer: 14

147. Twice the product of m and n decreased by the square of the sum of m and n. Which of the following is an expression for the statement above?

  • A. 2mn2 - (m2 + n2)
  • B. 2mn - (m+n)2
  • C. (m+n)2 - 2mn
  • D. (m2 + n2) - 2mn

Explanation: The correct expression is 2mn - (m+n)2. The statement specifies that you should first find the product of m and n, multiply it by two, and…

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Correct answer: 2mn - (m+n)2

148. In a car dealership, all of the vehicles are either a sedan or a SUV. If 36 sedans are sold and 36 SUVs are added, there will be an equal number of sedans and SUVs. If 8 SUVs are sold and 8 sedans are added, there will be twice as many sedans as SUVs. How many sedans were at the dealership before any vehicle was sold?

  • A. 132
  • B. 144
  • C. 156
  • D. 168

Explanation: Let number of sedans originally = SLet number of SUVs originally = UIf 36 sedans are sold and 36 SUVs are added, there will be an equal…

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Correct answer: 168

149. Tom wants to rent a truck for two days and pay no more than $300. How far can he drive the truck if the truck rental costs $49 a day plus $0.40 a mile?

  • A. 490
  • B. 505
  • C. 520
  • D. 535

Explanation: Rent for two days = $49 + $49 = $98 Leftover Fuel Expense = $300 - $98 = $202 Number of miles = Leftover Fuel Expense/Expense per mile =…

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Correct answer: 505

150. The ratio of 1 ¾ to 2 ½ is equal to the ratio of 14 to what number?

  • A. 18
  • B. 20
  • C. 22
  • D. 24

Explanation: To solve the problem, start by converting the mixed numbers to improper fractions. 1 ¾ becomes 7/4, and 2 ½ becomes 5/2.

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Correct answer: 20

151. The sum of two numbers is 14 and the ratio of the two numbers is −3 . What is the product of the two numbers?

  • A. -105
  • B. -119
  • C. -133
  • D. -147

Explanation: Let's solve the problem step by step:First, let the two numbers be x and y.

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Correct answer: -147

152. If 2(x-y)=3y, what is the ratio x/y?

  • A. 2/5
  • B. 4/3
  • C. 5/2
  • D. 8/3

Explanation: Start with the equation: 2(x-y) = 3y. Expand the left side to get 2x - 2y = 3y. Next, add 2y to both sides: 2x = 5y.

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Correct answer: 5/2

153. The ratio of length to width of a rectangular garden is 6:7 . If the perimeter of the rectangle is 78 meters, what is the area of the garden in square meters?

  • A. 274
  • B. 326
  • C. 352
  • D. 378

Explanation: The ratio of the length to the width of the garden is 6:7. Let the common factor be 'x', so the length is 6x and the width is 7x.

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Correct answer: 378

154. If 20 machines produce 1,240 printers in a day, how many more machines are needed to produce 1,984 printers in a day?

  • A. 12
  • B. 20
  • C. 24
  • D. 32

Explanation: To determine how many more machines are needed, set up a proportion based on the given information.

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Correct answer: 12

155. If ¾ quart of lemonade concentrate is mixed with 6 ⅔ quarts of water to make lemonade for 40 people, how many quarts of lemonade concentrate are needed to make the lemonade for 24 people?

  • A. 9/20
  • B. 7/20
  • C. 2/5
  • D. 3/10

Explanation: To solve this problem, we need to set up a proportion based on the original mixture for 40 people.

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Correct answer: 9/20

156. A 32-acre field yields 768 bushels of corn each year. How many more acres are needed to yield 960 bushels of corn each year?

  • A. 6
  • B. 8
  • C. 10
  • D. 12

Explanation: To determine the additional acres required, set up a proportion based on the initial data: a 32-acre field yields 768 bushels.

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Correct answer: 8

157. A tree is 8 feet tall and grows 8 inches each year. In how many years will the tree reach a height of 30 feet?

  • A. 27
  • B. 33
  • C. 45
  • D. 52

Explanation: The tree currently stands at 8 feet tall and needs to reach 30 feet, which means it must grow an additional 22 feet.The tree grows 8…

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Correct answer: 33

158. In a certain room the ratio of males to females is 4 to 5. After 8 males enter the room, the ratio of males to females is 6 to 5. What is the total number of people in the room before the additional males enter the room?

  • A. 27
  • B. 36
  • C. 45
  • D. 54

Explanation: To solve this problem, start by defining variables for the number of males and females in the room.

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Correct answer: 36

159. A person is born every 5 seconds and a person dies every 12 seconds. How many seconds does it take for the population to grow by one person?

  • A. 7 sec
  • B. 8 4⁄7 sec
  • C. 10.5 sec
  • D. 10 5⁄7 sec

Explanation: Time it takes for the population to grow by one person = "x" seconds.In "x" seconds, the number of people born would be "x/5" and the…

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Correct answer: 8 4⁄7 sec

160. Which of the following is equivalent to 0.03 % of 4?

  • A. 0.12
  • B. 0.012
  • C. 0.0012
  • D. 0.00012

Explanation: To solve the problem, first understand that a percentage is a fraction of 100.

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Correct answer: 0.0012
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