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All Free Analytical and Logical Reasoning MCQs with Answers

Every Analytical and Logical Reasoning question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.

2,989 questions · page 86 of 150

1701. 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

1702. 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

1703. 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

1704. 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

1705. 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

1706. 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

1707. 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

1708. 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

1709. 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

1710. 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

1711. 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

1712. 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

1713. 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

1714. 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

1715. 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

1716. 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

1717. 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

1718. The quantities x and y are positive. If x is decreased by 20 percent and y is increased by 20 percent, then the product of x and y is

  • A. unchanged
  • B. decreased by 4%
  • C. increased by 5%
  • D. decreased by 6%

Explanation: Let's assume that the original values of x and y are X and Y, respectively.If x is decreased by 20%, then its new value is:x = X - 0.2X =…

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Correct answer: decreased by 4%

1719. By what percent is 4.5 x 10^5 greater than 9 x 10^4?

  • A. 200%
  • B. 400%
  • C. 500%
  • D. 600%

Explanation: To determine by what percent 4.5 x 105 is greater than 9 x 104, first calculate the difference between the two numbers:Difference = 4.5 x…

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Correct answer: 400%

1720. If 125% of x is 80 and x is n % of 400, what is the value of n?

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

Explanation: To solve this problem, we start by calculating the value of x from the equation 125% of x = 80.

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Correct answer: 16
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