Free Logical Problems MCQs with Answers

519 Logical Problems 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.

Logical problems present several conditions about people, objects, events or choices and require their possible arrangements to be tested. They cover constraint-based reasoning, rankings, matching, grouping, scheduling and elimination, with attention to the difference between a complete solution and a possibility that merely satisfies one condition.

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519 questions · page 9 of 26

  • A. 3:5
  • B. 5:3
  • C. 2:1
  • D. 1:2

Explanation: The correct answer is A. 3:5. When considering work and time, the time taken to complete a task is inversely proportional to the…

Correct answer: 3:5
  • A. 1/12
  • B. 1/4
  • C. 1/3
  • D. 1/5

Explanation: The correct answer is 1/12. A fills the tank at a rate of 1/3 per hour, while B empties it at a rate of 1/4 per hour.

Correct answer: 1/12
  • A. 36
  • B. 24
  • C. 48
  • D. 30

Explanation: The combined work rate of A, B, and C together is 1/6 of the work per day. A's individual work rate is 1/12, and B's is 1/18.

Correct answer: 24
  • A. 5
  • B. 6
  • C. 8
  • D. 10

Explanation: The correct answer is D. A and B together can complete 12 units of work per day (5 units by A and 7 units by B).

Correct answer: 10
  • A. 1/14
  • B. 1/12
  • C. 1/10
  • D. 1/8

Explanation: The correct answer is 1/10. To solve this, consider the total days worked by A and B together, which is 6 + 8 = 14 days.

Correct answer: 1/10
  • A. 4 hrs
  • B. 5 hrs
  • C. 6 hrs
  • D. 7 hrs

Explanation: To solve this problem, determine the individual filling rates: A fills 1/5 of the tank per hour, and B fills 1/10 of the tank per hour.

Correct answer: 4 hrs
  • A. 2:1
  • B. 3:2
  • C. 4:1
  • D. 1:2

Explanation: To find the efficiency ratio of A to B, consider the total work done as 1 task.

Correct answer: 4:1
  • A. 27
  • B. 30
  • C. 36
  • D. 24

Explanation: The correct answer is 27 days. To solve this, first understand the efficiency relationship: B is 50% less efficient than A, so if A's work…

Correct answer: 27
  • A. 3.2
  • B. 4
  • C. 4.8
  • D. 5

Explanation: To solve this problem, calculate the rate of each pipe: Pipe A fills the tank at a rate of 1/8 per hour, Pipe B fills it at 1/6 per hour…

Correct answer: 4.8
  • A. 10 hrs
  • B. 20 hrs
  • C. 12 hrs
  • D. 8 hrs

Explanation: To find the net fill time, calculate the rates of the pipes. The first pipe fills the tank at a rate of 1/4 of the tank per hour.

Correct answer: 20 hrs
  • A. 24
  • B. 30
  • C. 36
  • D. 48

Explanation: The correct answer is 24 days. If C completes the work in 12 days at a rate of 2 units per day, the total work is 24 units.

Correct answer: 24
  • A. Time
  • B. Efficiency
  • C. Area
  • D. Volume

Explanation: Work done is directly proportional to efficiency because efficiency measures how effectively a task is performed.

Correct answer: Efficiency
  • A. ½ of the task
  • B. ¾ of the task
  • C. ⅖ of the task
  • D. 2.5 of the task

Explanation: This is correct because if a worker completes 1/10 of the task in 1 hour, then in 4 hours, he completes 4/10 or ⅖ of the task.

Correct answer: ⅖ of the task
  • A. 6
  • B. 8
  • C. 10
  • D. 12

Explanation: This is correct because the total work equals 4 men × 6 days = 24 man-days, so to finish in 3 days, 24 ÷ 3 = 8 men are required.

Correct answer: 8
  • A. 8
  • B. 9
  • C. 10
  • D. 12

Explanation: This is correct because the total work is 20 × 5 = 100 hours, and to complete this in 10 days, he must work 100 ÷ 10 = 10 hours/day.

Correct answer: 10
  • A. 6 days
  • B. 7.2 days
  • C. 8 days
  • D. 9 days

Explanation: This is correct because A's rate is 1/12 and B's is 1/18; combined rate is 5/36, so time = 1 ÷ (5/36) = 36/5 = 7.2 days.

Correct answer: 7.2 days
  • A. 20 days
  • B. 30 days
  • C. 25 days
  • D. 35 days

Explanation: This is correct because A's rate is 1/15, and A+B = 1/10, so B's rate is 1/10 − 1/15 = 1/30, hence B alone takes 30 days.

Correct answer: 30 days
  • A. 8
  • B. 9.6
  • C. 10
  • D. 12

Explanation: This is correct because A's rate is 1/16, B's is 1/24, so combined rate = 5/48 ⇒ time = 48/5 = 9.6 days.

Correct answer: 9.6
  • A. 10 days
  • B. 11 days
  • C. 12 days
  • D. 15 days

Explanation: This is correct because if ¾ of the job is done in 9 days, then total time = 9 ÷ (¾) = 12 days.

Correct answer: 12 days
  • A. 16
  • B. 20
  • C. 24
  • D. 30

Explanation: This is correct because A = 1/12, A+B = 1/8 ⇒ B = 1/8 − 1/12 = 1/24, so B alone takes 24 days.

Correct answer: 24