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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 4 of 26

61. A documentary takes 60 hours to edit. With AI software cutting time by 40%, new time is:

  • A. 34
  • B. 36
  • C. 38
  • D. 40

Explanation: The original time to edit the documentary is 60 hours. The AI software reduces this time by 40%.

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Correct answer: 36

62. A teacher grades 100 papers in 5 hours. After coffee, her speed drops by 20%. If she grades for 3 more hours, how many papers in total?

  • A. 145
  • B. 148
  • C. 150
  • D. 155

Explanation: Initially, the teacher grades 100 papers in 5 hours, giving a speed of 20 papers per hour.

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Correct answer: 148

63. A cargo ship unloads 300 containers in 12 hours. A crane with 50% more capacity is brought in. How much time will both take together to unload 300 containers?

  • A. 4.8 hrs
  • B. 7.2 hrs
  • C. 8 hrs
  • D. 9 hrs

Explanation: To solve this problem, we first calculate the work rate of the original crane, which is 25 containers per hour (300 containers/12 hours).

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Correct answer: 4.8 hrs

64. A train cleaning crew takes 20 minutes per coach. If 3 workers clean 6 coaches together in 30 minutes, how many workers are needed to clean 15 coaches in 25 minutes?

  • A. 6
  • B. 8
  • C. 10
  • D. 12

Explanation: To solve this problem, we first determine the total work in 'worker-minutes'.

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Correct answer: 10

65. An airport runway repair team completes work in 15 days. Due to heavy rains, their efficiency drops by 40%. How many extra days are needed?

  • A. 6
  • B. 8
  • C. 10
  • D. 12

Explanation: The team originally completes the work in 15 days. With a 40% drop in efficiency, they function at 60% of their original efficiency.

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Correct answer: 10

66. A person writes 10 pages per hour. After 3 hours, his writing speed drops by 30%. How long will he take to complete a 100-page report?

  • A. 10
  • B. 10.5
  • C. 13
  • D. 11.5

Explanation: The person writes 10 pages per hour for the first 3 hours, completing 30 pages.

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Correct answer: 13

67. A fitness trainer guides 6 clients per hour. When clients increase to 12 per hour, each session becomes 30% shorter. What is the new time per client?

  • A. 6 min
  • B. 7 min
  • C. 8 min
  • D. 9 min

Explanation: Initially, the trainer guides 6 clients per hour, meaning each session lasts 10 minutes (60 minutes divided by 6 clients).

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Correct answer: 7 min

68. A drone photography team captures 500 photos in 5 hours. Windy weather reduces flight time by 25%. New estimated time for same job?

  • A. 6 hrs
  • B. 6.5 hrs
  • C. 7 hrs
  • D. 7.5 hrs

Explanation: The original task takes 5 hours. The drone's efficiency is reduced by 25% due to wind, meaning it operates at 75% capacity.

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Correct answer: 6 hrs

69. A language translator can translate 1000 words in 4 hours. If she gets a job of 7500 words and works 5 hours per day, how many days will it take?

  • A. 3.5
  • B. 4
  • C. 4.5
  • D. 6

Explanation: The language translator's hourly work rate is 250 words per hour (1000 words / 4 hours).

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Correct answer: 6

70. A gardener takes 3 hours to water a lawn. If sprinklers are installed and water 60% of the area in 2 hours, how long does it take to complete the job if both work together?

  • A. 1.2 hrs
  • B. 1.5 hrs
  • C. 1.8 hrs
  • D. 2 hrs

Explanation: To solve this problem, start by determining the work rate of each party.

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Correct answer: 1.8 hrs

71. A tailor sews 4 shirts in 8 hours. If his apprentice can sew at 60% his efficiency, how many hours to sew 10 shirts together?

  • A. 12.5
  • B. 12
  • C. 14
  • D. 15

Explanation: The tailor sews at a rate of 0.5 shirts per hour (4 shirts/8 hours). The apprentice sews at 60% of this rate, which is 0.3 shirts per hour…

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Correct answer: 12

72. A surveyor covers 5 km in 2 hours in hilly terrain. In plains, he walks 50% faster. How long will he take to cover 10 km - 6 km hills and 4 km plains?

  • A. 3.6 hrs
  • B. 4 hrs
  • C. 4.2 hrs
  • D. 5 hrs

Explanation: To solve this problem, first calculate the surveyor's speed in each terrain type.

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Correct answer: 4 hrs

73. A coding team of 4 people completes a software module in 12 days. After 4 days, one coder leaves. How many days will the rest take to complete it?

  • A. 9
  • B. 10
  • C. 11
  • D. 12

Explanation: Initially, the team of 4 coders has a work rate of 1 module per 12 days, which means the team's combined work rate is 1/12 of a module per…

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Correct answer: 11

74. A bicycle repairman fixes 1 bike in 30 minutes. On weekends, demand doubles. If he works for 10 hours on Saturday, how many bikes can he realistically fix if each takes 20% longer?

  • A. 16
  • B. 18
  • C. 20
  • D. 22

Explanation: The repairman originally fixes 1 bike in 30 minutes. On weekends, each bike takes 20% longer, resulting in 36 minutes per bike (30 minutes…

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Correct answer: 16

75. A sculptor has 12 blocks of marble. He carves one block in 5 hours. After 4 blocks, he injures his wrist and slows by 50%. Total time to finish?

  • A. 70 hrs
  • B. 75 hrs
  • C. 80 hrs
  • D. 85 hrs

Explanation: To solve this problem, break it into two parts. For the first 4 blocks, the sculptor takes 4 blocks * 5 hours/block = 20 hours.

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Correct answer: 75 hrs

76. A paper factory makes 100 reams in 5 hours. A second machine makes them 20% faster. Together, how long to produce 300 reams?

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

Explanation: To solve the problem, first determine the work rate of each machine. The first machine produces 100 reams in 5 hours, giving it a rate of…

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Correct answer: 6 hrs

77. A painter paints 3 murals in 9 days. He decides to finish 2 extra murals in the same total time. How much faster should he work?

  • A. 20%
  • B. 30%
  • C. 40%
  • D. 50%

Explanation: The painter initially completes 3 murals in 9 days, equating to a rate of 1/3 murals per day.

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Correct answer: 50%

78. A travel agency processes 24 visas in 6 hours. Due to new rules, each visa takes 25% longer. How many can they now process in same time?

  • A. 18
  • B. 19
  • C. 20
  • D. 21

Explanation: Originally, 24 visas are processed in 6 hours, meaning each visa takes 15 minutes (or 1/4 hour).

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Correct answer: 21

79. A printing press has two machines. One prints 600 pages/hour, the other 400. How long to print 10,000 pages if both work together?

  • A. 8
  • B. 10
  • C. 12
  • D. 15

Explanation: To solve this problem, calculate the combined work rate of both machines.

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Correct answer: 10

80. A welder completes a frame in 3 hours. He begins work but midway the power cuts and he completes the last third manually, taking 60% more time. Total time?

  • A. 3.2 hrs
  • B. 3.4 hrs
  • C. 3.6 hrs
  • D. 3.8 hrs

Explanation: To solve this problem, note that the entire task is divided into three equal parts, each taking 1 hour with power.

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Correct answer: 3.6 hrs
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