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 29 of 32

Moderate
  • A. 20
  • B. 23
  • C. 25
  • D. 28

Explanation: The total of all five scores is 5 × 18 = 90. Subtracting the known total, 90 − 65, gives 25.

Correct answer: 25
Hard
  • A. 24 marbles
  • B. 32 marbles
  • C. 40 marbles
  • D. 48 marbles

Explanation: If Bilal had x, Ali had 3x. After the transfer, 3x − 8 = x + 8, so x = 8. Their original total was 8 + 24 = 32.

Correct answer: 32 marbles
Hard
  • A. 5 1/3 hours
  • B. 4 2/3 hours
  • C. 5 2/3 hours
  • D. 6 1/3 hours

Explanation: Ahmed completes 2/12 = 1/6 of the task in 2 hours. Together they complete 1/6 + 1/12 = 1/4 per hour, so the remaining 5/6 takes 10/3…

Correct answer: 5 1/3 hours
Very hard
  • A. 20 9/11 minutes
  • B. 21 9/11 minutes
  • C. 22 9/11 minutes
  • D. 23 9/11 minutes

Explanation: At 4:00, the hands are 120 degrees apart. The minute hand gains on the hour hand at 5.5 degrees per minute, so the time is 120 ÷ 5.5 = 21…

Correct answer: 21 9/11 minutes
Very hard
  • A. 37
  • B. 41
  • C. 47
  • D. 53

Explanation: There are 33 multiples of 3 and 20 multiples of 5. Six multiples of 15 belong to both groups, so exclude them from each group: 33 − 6 + 20…

Correct answer: 41
Easy
  • A. 17 notebooks
  • B. 18 notebooks
  • C. 19 notebooks
  • D. 20 notebooks

Explanation: Subtract the notebooks sold from the original stock: 37 minus 18 equals 19. Therefore, 19 notebooks remain.

Correct answer: 19 notebooks
Easy
  • A. 20 chairs
  • B. 24 chairs
  • C. 26 chairs
  • D. 28 chairs

Explanation: Multiply the number of rows by the chairs in each row: 6 times 4 equals 24. So the hall has 24 chairs.

Correct answer: 24 chairs
Fairly easy
  • A. 12 beads
  • B. 15 beads
  • C. 18 beads
  • D. 20 beads

Explanation: The ratio has 7 total parts, so each part represents 35 divided by 7, or 5 beads. Red beads make 3 parts, giving 3 times 5 equals 15.

Correct answer: 15 beads
Fairly easy
  • A. Thursday
  • B. Friday
  • C. Saturday
  • D. Sunday

Explanation: The 30th is 29 days after the 1st. Since 29 leaves a remainder of 1 when divided by 7, move one weekday after Thursday to get Friday.

Correct answer: Friday
Moderate
  • A. 2 hours
  • B. 3 hours
  • C. 4 hours
  • D. 5 hours

Explanation: The first part takes 90 divided by 45, which is 2 hours. The second takes 60 divided by 60, which is 1 hour, making 3 hours altogether.

Correct answer: 3 hours
Moderate
  • A. 96
  • B. 100
  • C. 104
  • D. 120

Explanation: The two changes leave 1.20 times 0.80, or 0.96, of the original number.

Correct answer: 100
Hard
  • A. 18 years
  • B. 20 years
  • C. 22 years
  • D. 24 years

Explanation: Let the daughter's current age be x. In four years, the equation is x plus 28 equals 2 times x plus 4, giving x equals 20.

Correct answer: 20 years
Hard
  • A. 12 handshakes
  • B. 15 handshakes
  • C. 18 handshakes
  • D. 30 handshakes

Explanation: Each of the 6 people can shake hands with 5 others, giving 30 counted hand contacts.

Correct answer: 15 handshakes
Very hard
  • A. 140 rupees
  • B. 160 rupees
  • C. 180 rupees
  • D. 200 rupees

Explanation: Make Bilal's ratio parts equal: 2:3 becomes 8:12, while 4:5 becomes 12:15.

Correct answer: 160 rupees
Very hard
  • A. Monday
  • B. Thursday
  • C. Wednesday
  • D. Tuesday

Explanation: The first 90 days end on March 31, so the 100th day is April 10. It is 99 days after January 1, and 99 leaves a remainder of 1 after…

Correct answer: Tuesday
Easy
  • A. 26 rupees
  • B. 36 rupees
  • C. 30 rupees
  • D. 24 rupees

Explanation: Subtract the amount spent from the original amount: 53 minus 27 equals 26. Therefore, Ayesha has 26 rupees left.

Correct answer: 26 rupees
Easy
  • A. 30 eggs
  • B. 35 eggs
  • C. 40 eggs
  • D. 25 eggs

Explanation: There are 7 groups of 5 eggs. Multiplying 7 by 5 gives 35 eggs altogether.

Correct answer: 35 eggs
Fairly easy
  • A. 8 metres
  • B. 9 metres
  • C. 10 metres
  • D. 12 metres

Explanation: Equal pieces require division. Divide 36 metres by 4, giving 9 metres per piece.

Correct answer: 9 metres
Fairly easy
  • A. Thursday
  • B. Sunday
  • C. Saturday
  • D. Friday

Explanation: The 15th is 14 days after the 1st. Since 14 days is exactly two weeks, it falls on Friday again.

Correct answer: Friday
Moderate
  • A. 14 years
  • B. 15 years
  • C. 16 years
  • D. 19 years

Explanation: Let Omar's current age be x, so Nadia is x plus 4. In 3 years their total is x plus 3 plus x plus 7, so 2x plus 10 equals 40 and x equals…

Correct answer: 15 years