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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 3 of 26

41. A mountain lodge employs a cleaner who finishes one floor in 2 hours. On weekends, guest traffic increases, doubling cleaning time. How long to clean 3 floors on Saturday?

  • A. 12
  • B. 6
  • C. 9
  • D. 10

Explanation: The cleaner usually takes 2 hours per floor, but on weekends, this time doubles to 4 hours per floor due to increased guest traffic.

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Correct answer: 12

42. An old printer prints 5 pages per minute. A new one is 60% faster. Together, how long to print 300 pages?

  • A. 15 min
  • B. 23 min
  • C. 18 min
  • D. 20 min

Explanation: To determine the time taken by both printers together, first calculate the speed of the new printer.

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Correct answer: 23 min

43. A tech support team resolves 45 tickets in 9 hours. If 3 members leave and workload stays same, each remaining member has to work 25% longer. How many were there originally?

  • A. 6
  • B. 9
  • C. 12
  • D. 15

Explanation: The total task is resolving 45 tickets in 9 hours, which means the team resolves 5 tickets per hour.

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Correct answer: 12

44. A chef preps 60 meals in 5 hours. A second chef can prepare 80 meals in 4 hours. If they work together, how many meals in 3 hours?

  • A. 84
  • B. 90
  • C. 96
  • D. 108

Explanation: To solve the problem, determine the rate at which each chef works. The first chef prepares 60 meals in 5 hours, so their rate is 12 meals…

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Correct answer: 96

45. A fashion designer needs to stitch 40 dresses in 8 days. After 3 days, she completes only 12. How many dresses must she stitch daily to meet the deadline?

  • A. 4.5
  • B. 5.6
  • C. 7
  • D. 8

Explanation: The fashion designer has a total of 8 days to stitch 40 dresses. After 3 days, she has completed 12 dresses, leaving 28 dresses to be…

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Correct answer: 7

46. A street artist finishes a mural in 10 days working 6 hours a day. If he works 8 hours a day, how many days does he need?

  • A. 6
  • B. 7
  • C. 7.5
  • D. 8

Explanation: The street artist originally finishes the mural in 60 hours (10 days x 6 hours).

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Correct answer: 7.5

47. A drone takes 1 hour to deliver a parcel. Due to battery issues, its speed reduces by 20%. How long for delivery now?

  • A. 1.1 hrs
  • B. 1.2 hrs
  • C. 1.25 hrs
  • D. 1.5 hrs

Explanation: Initially, the drone takes 1 hour to deliver a parcel. With a 20% reduction in speed, the drone now operates at 80% of its original speed.

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Correct answer: 1.25 hrs

48. A coder can debug a program in 6 hours. If she takes a 10-minute break every hour, how long will the entire task take including breaks?

  • A. 6.5 hrs
  • B. 6.8 hrs
  • C. 6.7 hrs
  • D. 7 hrs

Explanation: The coder works for 6 hours and takes a 10-minute break after each of the first 5 hours, resulting in 5 breaks.

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Correct answer: 6.8 hrs

49. A carpenter makes a table in 4 hours. If he works 25% faster using electric tools, time needed per table is:

  • A. 2.5
  • B. 3
  • C. 3.2
  • D. 3.5

Explanation: To determine the new time required when a carpenter works 25% faster, we first understand that working 25% faster implies that the…

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Correct answer: 3.2

50. A volunteer packs 120 aid boxes in 6 hours. Another packs at 150% of his rate. Together, how many in 4 hours?

  • A. 160
  • B. 180
  • C. 200
  • D. 220

Explanation: To solve this problem, first calculate the packing rate of the first volunteer: 120 boxes in 6 hours results in a rate of 20 boxes per…

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Correct answer: 200

51. A gardener trims ⅓ of a hedge in 2 hours. If a second gardener joins with equal speed, total time for the whole hedge?

  • A. 2.5 hrs
  • B. 3 hrs
  • C. 3.5 hrs
  • D. 4 hrs

Explanation: Each gardener trims ⅓ of the hedge in 2 hours, so their rate is ⅓ per 2 hours, or 1/6 of the hedge per hour.

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Correct answer: 3 hrs

52. A student completes an assignment in 3 days. He gets distracted on the second day and works at 50% efficiency. Total time to finish now?

  • A. 3.5
  • B. 4
  • C. 4.5
  • D. 5

Explanation: To determine the total time the student takes to complete the assignment, consider the work done each day.

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Correct answer: 4.5

53. A ferry takes 40 minutes to cross a river. If current slows it down by 25%, time taken increases to:

  • A. 50 min
  • B. 52 min
  • C. 55 min
  • D. 60 min

Explanation: The ferry initially takes 40 minutes to cross the river. When the ferry's speed is reduced by 25% due to the current, the time taken…

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Correct answer: 50 min

54. A photography team edits 200 photos in 8 hours. A new software improves efficiency by 33%. New total editing time?

  • A. 6 hrs
  • B. 5.36 hrs
  • C. 7 hrs
  • D. 8 hrs

Explanation: The original time to edit 200 photos is 8 hours. A 33% improvement in efficiency means the task can be completed in 67% of the original…

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Correct answer: 6 hrs

55. A painter covers a 10x10 wall in 2 hours. A textured wall requires 50% more time. Time to paint 3 textured walls?

  • A. 6 hrs
  • B. 7.5 hrs
  • C. 8 hrs
  • D. 9 hrs

Explanation: To solve this problem, first calculate the time to paint one textured wall.

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Correct answer: 9 hrs

56. A mechanic services 4 cars in 8 hours. If he gets help from an assistant who works at 75% his rate, how many cars in 8 hours together?

  • A. 5.5
  • B. 6
  • C. 6.5
  • D. 7

Explanation: The mechanic services 4 cars in 8 hours, equating to a rate of 0.5 cars per hour.

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Correct answer: 7

57. A team builds 200 meters of road in 10 days. Bad weather reduces their output by 20%. New completion time?

  • A. 11
  • B. 12
  • C. 12.5
  • D. 13

Explanation: Initially, the team builds 200 meters in 10 days, resulting in a rate of 20 meters per day.

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Correct answer: 12

58. A woodcutter can chop a tree in 3 hours. He works for 1.5 hours, then switches to a duller axe reducing speed by 50%. Total time now?

  • A. 4
  • B. 4.5
  • C. 5
  • D. 5.5

Explanation: The woodcutter completes half of the work in 1.5 hours. The remaining half requires double the time due to the 50% reduction in speed…

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Correct answer: 5

59. A delivery van makes 3 trips in 6 hours. A second van with 80% the speed is added. Together, trips in 6 hours?

  • A. 5
  • B. 5.5
  • C. 6
  • D. 6.5

Explanation: To find the combined trips made by both vans, first calculate the speed of the first van, which is 0.5 trips per hour (3 trips/6 hours).

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Correct answer: 6

60. A nurse checks 8 patients per hour. Due to hospital rush, she takes 20% less time per patient. Total patients in 3 hours?

  • A. 24
  • B. 30
  • C. 32
  • D. 36

Explanation: The nurse checks 8 patients per hour, so the time per patient is:60 minutes/8=7.5 minutes per patient20% of 7.5=0.2×7.5=1.5 minutes So…

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Correct answer: 30
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