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 8 of 26

  • A. 24 days
  • B. 36 days
  • C. 48 days
  • D. 60 days

Explanation: To find out how long 1 man would take to do the job alone, you first calculate the total work in man-days, which is the product of the…

Correct answer: 48 days
  • A. 1/2
  • B. 2
  • C. 1
  • D. 1/4

Explanation: The correct answer is 1/2. The machine completes one full job in 2 hours.

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

Explanation: The correct answer is 1/5. Since B completes the entire job in 5 days, his work rate is calculated by dividing 1 job by 5 days, resulting…

Correct answer: 1/5
  • A. 6
  • B. 8
  • C. 5
  • D. 9

Explanation: To determine how many days A and B will take to complete the work together, calculate their individual work rates first.

Correct answer: 6
  • A. 9 days
  • B. 10 days
  • C. 12 days
  • D. 8 days

Explanation: The correct answer is 12 days. If a man can complete 1/4 of the work in 3 days, then to complete the full work, he needs to finish 4…

Correct answer: 12 days
  • A. 4.8 days
  • B. 5 days
  • C. 6 days
  • D. 7 days

Explanation: To solve this problem, calculate the rate of work for each person: A's rate is 1/12 of the work per day, and B's rate is 1/8 of the work…

Correct answer: 4.8 days
  • A. 4 days
  • B. 6 days
  • C. 8 days
  • D. 10 days

Explanation: When someone works twice as fast as another person, they complete the task in half the time.

Correct answer: 6 days
  • A. 1/20
  • B. 1/10
  • C. 3/20
  • D. 1/5

Explanation: To determine the combined work rate of A and B, add their individual rates. A completes 1 job in 20 days, so A's rate is 1/20.

Correct answer: 3/20
  • A. 1/30
  • B. 1/20
  • C. 1/15
  • D. 2/15

Explanation: The correct answer is 1/15. Since two men complete the work together in 15 days, their combined work rate per day is 1/15 of the total…

Correct answer: 1/15
  • A. 15
  • B. 18
  • C. 20
  • D. 16

Explanation: To solve this, consider the work rates: If B works at 1 unit/day, A works at 2 units/day.

Correct answer: 18
  • A. 12
  • B. 24
  • C. 36
  • D. 48

Explanation: The correct answer is 36. First, calculate the least common multiple (LCM) of the time taken by A and B, which is 12.

Correct answer: 36
  • A. 1/2
  • B. 2/5
  • C. 3/5
  • D. 4/5

Explanation: A can complete the entire work in 5 days, so the amount of work done per day is 1/5.

Correct answer: 2/5
  • A. 3
  • B. 4
  • C. 5
  • D. 6

Explanation: The correct answer is 4 days. Since A takes 16 days to complete the entire task, to find out how many days it takes to complete 1/4 of the…

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

Explanation: B. 1/3 - Correct. A does 1/5 × 2 = 2/10 = 1/5 × 2 = 1/5. So, 1 - 1/5 = 4/5 is left. Then B does 1/20 per day.

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

Explanation: The correct answer is A. 3/4. If a person works at 75% efficiency, they are completing 75% of the work that would be done at full…

Correct answer: 3/4
  • A. 3 hours
  • B. 4 hours
  • C. 5 hours
  • D. 6 hours

Explanation: The correct answer is B: 4 hours. To find the combined time for Pipe A and Pipe B to fill the tank together, calculate their rates of…

Correct answer: 4 hours
  • A. 10 hours
  • B. 12 hours
  • C. 24 hours
  • D. 8 hours

Explanation: To determine the net time to fill the tank, calculate the rates of the pipes: the filling pipe fills the tank at a rate of 1/4 per hour…

Correct answer: 24 hours
  • A. 25
  • B. 20
  • C. 30
  • D. 15

Explanation: The correct answer is 30 men. To solve this, calculate the total man-days required: 10 men × 5 days = 50 man-days.

Correct answer: 30
  • A. 2.5 hours
  • B. 1.5 hours
  • C. 1.714 hours
  • D. 3 hours

Explanation: The correct answer is 1.714 hours. To find the time it takes for both pipes to fill the tank together, first calculate the rate at which…

Correct answer: 1.714 hours
  • A. 18 days
  • B. 12 days
  • C. 10 days
  • D. 15 days

Explanation: To find the time B alone takes to finish the work, first identify the work rates: A's work rate is 1/9 of the job per day, and A+B's…

Correct answer: 12 days