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 25 of 32

  • A. It is plausible that the proportion is between 0.45 and 0.53.
  • B. It is plausible that the proportion is less than 0.45.
  • C. The proportion is exactly 0.49.
  • D. It is plausible that the proportion is greater than 0.53.

Explanation: Choice A is correct. It's given that the estimate for the proportion of the population that has the characteristic is 0.49 with an…

Correct answer: It is plausible that the proportion is between 0.45 and 0.53.
  • A. 7/10
  • B. 5/10
  • C. 3/10
  • D. 9/10

Explanation: The correct answer is 3/10. It's given that there are a total of 100 tiles of equal area, which is the total number of possible outcomes.

Correct answer: 3/10
  • A. 0.051
  • B. 0.51
  • C. 5,100
  • D. 51000

Explanation: Choice C is correct. Since 1 meter is equal to 100 centimeters, 51 meters is equal to 51 meters (100 centimeters / 1 meter), or 5,100…

Correct answer: 5,100
  • A. -2
  • B. 7
  • C. 14
  • D. 18

Explanation: First, let's rearrange the second equation to solve for y. Multiply both sides by 2 to get:4x + 4y = 20Now we can eliminate x by…

Correct answer: -2
  • A. I only
  • B. II only
  • C. I and II
  • D. Neither I nor II

Explanation: Choice A is correct. The median of a data set with an odd number of values that are in ascending or descending order is the middle value…

Correct answer: I only
  • A. The medians for the two classes are the same.
  • B. The lower extreme of Class B is greater than the lower extreme of Class A
  • C. Class B has a smaller range of scores in the upper quartile than Class A.
  • D. Class A performed better than Class B.

Explanation: Answer: D. The medians for the two classes are the same.. Explanation: Step 1: Calculate the median for each class.

Correct answer: The medians for the two classes are the same.
  • A. 32 °C
  • B. 38.2 °CStart by taking the number in Fahrenheit and subtracting 32. Then divide the number by 9, and then multiply it by 5. This is how you convert Fahrenheit to Celsius or use the equation C = (F - 32) Ã- 5/9In this case, the answer is about 38.167 degrees Celsius.
  • C. 36.5°C
  • D. 213.3°C

Explanation: Start by taking the number in Fahrenheit and subtracting 32. Then divide the number by 9, and then multiply it by 5.

Correct answer: 38.2 °CStart by taking the number in Fahrenheit and subtracting 32. Then divide the number by 9, and then multiply it by 5. This is how you convert Fahrenheit to Celsius or use the equation C = (F - 32) Ã- 5/9In this case, the answer is about 38.167 degrees Celsius.
  • A. 2, 3, 5, 4
  • B. 2, 3, 5, -4
  • C. 2,- 3, 4, 5
  • D. -2, 3, 4, -5

Explanation: Putting in 2, -3, 4,5 for values of p, q, a, and b respectively will make the right side of the equation the same as the left side…

Correct answer: 2,- 3, 4, 5
  • A. 1
  • B. 0
  • C. 2
  • D. None

Explanation: In the context of the natural numbers (N) and the addition operation (+), there is no identity element with respect to addition.

Correct answer: None
  • A. 4/3
  • B. 5/7
  • C. 3/4
  • D. 1/2

Explanation: We know that 60 mins= 60×60 secs=3600 seconds Hence , Using above calculations, The answer is 3600"

Correct answer: 3/4
  • A. 0
  • B. sin2Θ
  • C. 2 tanΘ
  • D. 2

Explanation: Correct answer is "2" or "D option".It can be solved as:Hence correct option is "2".

Correct answer: 2
  • A. +ive
  • B. -ive
  • C. may be any
  • D. none

Explanation: 2140⁰ = 5×360⁰ +140⁰As tan 140 is in 2nd quadrant and tan is -ve in 2nd quad.Hence the answer is -ve

Correct answer: -ive
  • A. cos 20+ i sin 20
  • B. cos 30 + i sin30
  • C. cos 10 + i sin 10
  • D. cos20 - i sin 20

Explanation: Answer: b (x=1, y=0)Solution: [1-1+ii]100= 1-i1 +i ×1-i1-i100= 1-i(1-i)(1+i)(1-i)100=(1-i)212- i2100=12 -21i+ i212 - i2…

Correct answer: cos 10 + i sin 10
  • A. 1,3
  • B. -4 , 9
  • C. 2, 7
  • D. -4, 1

Explanation: Solution: This question can be solved by putting the value of roots individually in the equation, this will generate two separate…

Correct answer: -4, 1
  • A. Φ≠n pi/2, n€Z
  • B. Φ≠n pi/6, n€Z
  • C. Φ≠n pi/3, n€Z
  • D. Φ≠n pi, n€Z

Explanation: We know that 60 mins= 60×60 secs=3600 seconds Hence , Using above calculations, The answer is 3600"

Correct answer: Φ≠n pi/2, n€Z
  • A. 0
  • B. 1
  • C. -1
  • D. infinity

Explanation: Here we will use the concept of coterminal angles,

Correct answer: 1
  • A. sin (θ - θ / 2)
  • B. cos (θ - θ / 2)
  • C. -tan (θ - θ / 2)
  • D. 2sin (θ - θ) cos (θ - θ)

Explanation: Correct answer is "C option" or " -tan (θ - θ / 2) ''It is a basic question and answer can be found by taking - common from the question.

Correct answer: -tan (θ - θ / 2)
  • A. 5/12
  • B. -5/12
  • C. 12/5
  • D. both a and b

Explanation: We know that 60 mins= 60×60 secs=3600 seconds Hence , Using above calculations, The answer is 3600"

Correct answer: -5/12