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 6 of 32

  • A. $1.75
  • B. $1.60
  • C. $1.55
  • D. $1.50

Explanation: To find the cost of 10 apples, begin by determining the cost of one apple.

Correct answer: $1.50
  • A. a + c = 1,4005a + 3c = 300
  • B. a + c = 300 5a + 3c = 1400
  • C. a + c = 3003a + 5c = 1,400
  • D. a + c = 3003a + 5c = 1,400 × 2

Explanation: To solve this problem, set up the system of equations based on the information provided: a + c = 300 and 5a + 3c = 1,400.

Correct answer: a + c = 300 5a + 3c = 1400
  • A. 2x2−21x+32
  • B. 2x2−21x−32
  • C. 2x2−13x+32
  • D. 2x2−16x−21

Explanation: To simplify 2(x − 4)2 − 5x, start by expanding the squared term: (x − 4)2 = x2 − 8x + 16.

Correct answer: 2x2−21x+32
  • A. (2, -1)
  • B. (-1, 2)
  • C. (1, - 2)
  • D. (-1, -2)

Explanation: To find the center of the circle given by the equation x2 + y2 - 2x + 4y - 1 = 0, we compare it with the standard form (x - h)2 + (y - k)2…

Correct answer: (1, - 2)
  • A. n3
  • B. n(n+3)
  • C. 2n+3
  • D. n/4

Explanation: A is incorrect as assuming our odd integer is 3, cube of 3 is equal to 9, which is not even.

Correct answer: n(n+3)
  • A. 7/9
  • B. 2/3
  • C. 5/6
  • D. 13/18

Explanation: A is incorrect as 7/9 = 0.7777 B is incorrect as 2/3 = 0.6666 C is correct as 5/6 = 0.8333 0.833 is the biggest fraction compared to the…

Correct answer: 5/6
  • 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 taken together are sufficient to answer the question, but neither statement alone is sufficient
  • D. Statements (1) and (2) together are not sufficient, and additional data is needed to answer the question
  • E. Each statement alone is sufficient

Explanation: A,B,C,D are incorrect as there isn't enough data given for statement 1 and statement 2 to have context.

Correct answer: Statements (1) and (2) together are not sufficient, and additional data is needed to answer the question
  • A. 1
  • B. 2
  • C. 7
  • D. 11

Explanation: A is incorrect as 1 is not a prime number. B is correct as 2 is the smallest prime number and its even.

Correct answer: 2
  • A. Less than 2 from original number
  • B. More than 200 from original number
  • C. Less than 20 from original number
  • D. More than 20 from original number

Explanation: Assuming our number to be 124, subtracting 2 from the tenth digit {2} will give us the answer 104, hence B is correct since 104 us 20 less…

Correct answer: Less than 20 from original number
  • A. 8th
  • B. 24th
  • C. 12th
  • D. 6th

Explanation: A is correct since there are 24 hours in one day, 48 hours in 2 days. To obtain the fraction of 6 hours against 48 hours, 48/6 = 8th.

Correct answer: 8th
  • A. 10
  • B. 11
  • C. 210
  • D. 250

Explanation: 210 and 252. Highest common factor is 42. 210 factors to = 2*5*3*7252 factors to = 2*2*3*3*7210/42 = 5252/42 = 65+6= 11 cartons

Correct answer: 11
  • A. For 3 litres of 2 spoons of sugar
  • B. For 2 litres of milk 5 spoons of sugar
  • C. For 8 litres of milk 15 spoons of sugar
  • D. For 4 litres of 2 spoons of sugar

Explanation: A, B, C are wrong as 15 spoons of sugar are required for 8 litres of milk.

Correct answer: For 8 litres of milk 15 spoons of sugar
  • A. 10
  • B. 20
  • C. 8
  • D. 40

Explanation: Initially, there's enough food for 800 men for 20 days, meaning the total food available is 800 men x 20 days = 16,000 man-days of…

Correct answer: 20
  • A. 12.5%
  • B. 15%
  • C. 11.11%
  • D. 20%

Explanation: To solve this problem, you need to understand the concept of maintaining a constant expenditure when the price of a product changes.

Correct answer: 11.11%
  • A. 66%
  • B. 1.66%
  • C. 60%
  • D. 1/60 %

Explanation: To determine what percent one minute is of an hour, recognize that there are 60 minutes in an hour.

Correct answer: 1.66%
  • A. 40%
  • B. 60%
  • C. 28.57%
  • D. 26.5%

Explanation: Saleh's salary = XMariah's salary= 1.4xHence,C is correct 1.4x-x/1.4x ×100 0.4x/1.4x ×1000.4/1.4 ×100 40/1.428.57%

Correct answer: 28.57%
  • A. 4x + 12
  • B. 4(x + 12)
  • C. 4(x - 12)
  • D. 4x - 12

Explanation: The correct expression for the statement 'The product of a number x and four decreased by twelve' is 4x - 12.

Correct answer: 4x - 12
  • A. bc
  • B. 2ac
  • C. -2bc
  • D. -2ac

Explanation: To simplify the expression a(b-c)-b(a+c)-c(a-b), start by expanding each term: a(b-c) = ab - ac, -b(a+c) = -ba - bc, -c(a-b) = -ca + cb.

Correct answer: -2ac
  • A. a - 3c
  • B. a + 5c
  • C. a + c
  • D. a - c

Explanation: Option D is correct as the simplification of the given expression results in a - c.

Correct answer: a - c
  • A. 17
  • B. 23
  • C. 27
  • D. 9

Explanation: A is correct asStart= 0 0-5=-5 (lose 5 yards) -5+32= 27 (gain 32 yards) 27-10= 17 (lose 10 yards) B,C,D are incorrect as the team gained…

Correct answer: 17