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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 21 of 32

401. Kaylani used fabric measuring 5 yards in length to make each suit for a men's choir. The relationship between the number of suits that Kaylani made, x, and the total length of fabric that she purchased y, in yards, is represented by the equation y − 5x = 6. What is the best interpretation of 6 in this context?

  • A. Kaylani made 6 suits.
  • B. Kaylani purchased a total of 6 yards of fabric.
  • C. Kaylani used a total of 6 yards of fabric to make the suits.
  • D. Kaylani purchased 6 yards more fabric than she used to make the suits.

Explanation: Choice D is correct. It's given that the equation y - 5x = 6 represents the relationship between the number of suits that Kaylani made, x…

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Correct answer: Kaylani purchased 6 yards more fabric than she used to make the suits.

402. What is the value of tan 92π/3?

  • A. − √3
  • B. -√3/3
  • C. √3/3
  • D. √3

Explanation: Choice A is correct. A trigonometric ratio can be found using the unit circle, that is, a circle with radius 1 unit.

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Correct answer: − √3

403. A right rectangular prism has a height of 9 inches. The length of the prism's base is x inches, which is 7 inches more than the width of the prism's base. Which function V gives the volume of the prism, in cubic inches, in terms of the length of the prism's base?

  • A. V(x) = x(x + 9)(x + 7)
  • B. V(x) = x(x + 9)(x − 7)
  • C. V(x) = 9x(x + 7)
  • D. V(x) = 9x(x − 7)

Explanation: Choice D is correct. The volume of a right rectangular prism can be represented by a function V that gives the volume of the prism, in…

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Correct answer: V(x) = 9x(x − 7)

404. The result of increasing the quantity x by 400% is 60. What is the value of x?

  • A. 12
  • B. 15
  • C. 240
  • D. 340

Explanation: Choice A is correct. It's given that the result of increasing the quantity x by 400% is 60.

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Correct answer: 12

405. In the triangle ABC, If AB = BC = AC, theni: x ii: y

  • A. (i) is greater
  • B. (ii) is greater
  • C. Both are Equal
  • D. Can't be determined

Explanation: if AB = BC = AC i.e all the three sides of triangle are equal,the triangle is equilateral, all three angles are supposed to be equal.

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Correct answer: (ii) is greater

406. How many people are standing in the queue at the counter? I. If four more people join the queue, the number in the queue will be more than 15 II. More than 10 people are standing in the queue III. There are more men than women in the queue IV. If three people give up and leave the queue, the number remaining will be less than 10 V. Less than 20 people are standing in the queue Which two statements are sufficient to answer the question?

  • A. I & III
  • B. II & III
  • C. II & V
  • D. I & IV

Explanation: Option D provides the sufficient information to find out the number of people standing in a queue i.e It states that if 4 more people join…

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Correct answer: I & IV

407. What is the value for x? I. x is an integer II. The average of v, w, x, y & z is 13 III. The average of v, w, y & z is 10 IV. v + w = 12 V. y + z = 28 Which two statements are sufficient to answer the question?

  • A. I & V
  • B. I & III
  • C. II & III
  • D. IV & V

Explanation: Option C gives Sufficient information as using the information in C as the variables provided are similar in this option which can be used…

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Correct answer: II & III

408. If u > t, r > q, s > t, and t > r, which of the following must be true? I. u > s II. s > q III. u > r

  • A. I , II and III
  • B. II only
  • C. III only
  • D. I and II
  • E. II and III

Explanation: From the above data provide it can be concluded that U>s>t>r>q or s>u>t>r>q Using this information OPTION E is correct as it states that…

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Correct answer: II and III

409. Anna spent $80 buying a used bicycle and $30 repairing it. Then she sold the bicycle for 40 percent more than the total amount she spent buying and repairing it. Quantity A: The price at which Anna sold the bicycle Quantity B: $150

  • 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.

Explanation: Anna spent $80 (to buy bicycle)Anna spent. +$30 ( for it's repair)Total amount spent $ 11040% of the spent amount is $44she sold the…

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Correct answer: Quantity A is greater

410. A total of 300 tickets were sold for a performance of a school play. The ticket prices were $5 for each adult and $3 for each child, and the total revenue from tickets was $1,400. Solving which of the following systems of equations would yield the number of adult tickets sold, a, and the number of children's tickets sold, c?

  • A. a + c = 1,400 5a + 3c = 300
  • B. a + c = 300 5a + 3c = 1400
  • C. a + c = 300 3a + 5c = 1,400
  • D. a + c = 300 3a + 5c = 1,400 × 2

Explanation: Using the equations in Option B, the number of tickets for adults and child sold can be found out A being the number of Adults C being the…

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Correct answer: a + c = 300 5a + 3c = 1400

411. The average height of 10 students is 155 cm. Later on it is discovered that while calculating the average, the reading of 157 cm was wrongly read as 147cm .The correct average is:

  • A. 196
  • B. 154
  • C. 200
  • D. 156

Explanation: A, B, C are incorrect as 156cm is the correct average height D is correct as Total height of 10 students = 10 x 155 = 1550 cm Since 157cm…

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Correct answer: 156

412. How many minutes are there in 2h hours and 6m minutes?

  • A. 60m+12m
  • B. 60m+6m
  • C. 120m+6m
  • D. 120hm+60m

Explanation: A, C and D are incorrect as 2 hour 6 mins is equal to 120 mins+6 mins B is correct as 1 hour = 60 minutes 2 hour = 120 mins 120 + 6 mins…

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Correct answer: 120m+6m

413. g(x)=kx3+3 For the function g defined above, k is a constant and g(-1)=5. What is the value of g(1) ?

  • A. -3
  • B. -1
  • C. 1
  • D. 3

Explanation: First step is to find k 5=k(-13)+3 5 - 3 = - 1k - 2 =kOption A) Putting A) equal to the function -3 = k (13) + 3 k= -6 This is a Wrong…

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Correct answer: 1

414. In 2005, 120 students at Lincoln High School had smartphones. By 2010, 345 students in the same school had smartphones. Which of the following best describes the annual rate of change in the number of smartphones students had from 2005 to 2010 at Lincoln High School?

  • A. The average increase in the number of smart phones per year is 40
  • B. The average increase in the number of smart phones per year is 45
  • C. The average increase in the number of smart phones per year is 50
  • D. The average increase in the number of smart phones per year is 55

Explanation: We have to find the increase in n.o of students per year with the change of 5 years Students having phone in 2005:120 Students having…

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Correct answer: The average increase in the number of smart phones per year is 45

415. y=2x+4 x-y=-1 Which ordered pair (x,y) satisfies the system of equations shown above?

  • A. ( -2, -3)
  • B. ( -3, -2)
  • C. ( -1, 2)
  • D. ( -2,0)

Explanation: Using simultaneous linear equation substituting x and y in the 1st equation Option A) Y - 2x =4 -3 - 2(- 2) =4 - 3 + 4=4 Option A is hence…

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Correct answer: ( -3, -2)

416. At the beginning of a trip, the tank of Chloe's car was filled with 12 gallons of gas. When she travels constantly on the highway 60 miles per hour, the car consumes 1 gallon of gas per 35 miles. If she traveled 5 hours and 15 minutes on the highway with a constant speed of 60 miles per hour, how many gallons of gas are left in the tank?

  • A. 3
  • B. 4
  • C. 5
  • D. 6

Explanation: For this to be solved we have to find the gallons of gas used If car travels 60 miles in one hour Car uses 1 gallon for 35 miles let's…

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Correct answer: 3

417. A rock climber is climbing up a 450 feet high cliff. By 9:30 AM. the climber reached 90 feet up the cliff and by 11:00 AM he has reached 210 feet up the cliff. If he climbs with a constant speed, by what time will he reach the top of the cliff?

  • A. 1:45 PM
  • B. 2:00 PM
  • C. 2:15 PM
  • D. 2:30 PM

Explanation: Constant speed is equal distance covered in equal time periods So he will cover the rest of the distance by the same time intervals as…

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Correct answer: 2:00 PM

418. Tim has 140 paperback and hard cover copies in his book shelf. If the hard cover copies do not exceed one sixth the number of paperback copies, what is the minimum number of paperback copies in Tim's book shelf?

  • A. 114
  • B. 116
  • C. 118
  • D. 120

Explanation: Number of paperback copies = x Number of hardcover copies ≤ x/6. (Maximum Number of hardcover copies = x/6) Total number of books = 140…

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Correct answer: 120

419. The number of students in a geometry class is four fifths the number of students in a Spanish class. The total number of students in both classes does not exceed 54. What is the greatest possible number of students in the Spanish class?

  • A. 30
  • B. 32
  • C. 34
  • D. 36

Explanation: Number of students in the Spanish class=x Since the number of students in the geometry class is four fifths the number of students in the…

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Correct answer: 30

420. At a sporting goods store, Jay paid $172 for a pair of shoes and a pair of pants. The pants cost less than two thirds of what the shoes cost. What is the minimum price of the shoes to the nearest dollar?

  • A. 103
  • B. 110
  • C. 120
  • D. 90

Explanation: Let x be the price of the shoes and y be the price of the pants. Then we have: x + y = 172 ...(1) y < (2/3)x ...(2) To find the minimum…

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Correct answer: 103
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