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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 5 of 26

81. A 3D designer renders an animation in 20 hours. If using a GPU that boosts speed by 40%, new render time is:

  • A. 14
  • B. 13.5
  • C. 15
  • D. 16

Explanation: The original render time is 20 hours. With a 40% speed increase, the task is completed in less time.

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Correct answer: 16

82. A runner covers 10 laps in 40 minutes. If he slows down after lap 6 by 25%, how long does he take for 10 laps?

  • A. 45
  • B. 46
  • C. 47
  • D. 48

Explanation: The runner covers 10 laps in 40 minutes, meaning each lap initially takes 4 minutes (40 ÷ 10 = 4).

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Correct answer: 47

83. A toy factory makes 200 toys a day with 10 workers. If 2 workers are transferred, and production must stay same, how much longer must they work per day?

  • A. 1 hr
  • B. 1.5 hr
  • C. 2 hr
  • D. 2.5 hrs

Explanation: Initially, 10 workers produce 200 toys in a day. Each worker contributes equally, meaning each worker is responsible for 20 toys.

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Correct answer: 1.5 hr

84. A video editor takes 5 minutes to edit 1 minute of footage. If the video is 30 minutes long and editing speed improves by 25%, total time required now?

  • A. 100 min
  • B. 110 min
  • C. 112.5 min
  • D. 120 min

Explanation: Initially, the editor takes 5 minutes to edit 1 minute of footage, which translates to 150 minutes for a 30-minute video.

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Correct answer: 112.5 min

85. A janitor cleans 3 classrooms in 1.5 hours. He gets a new wing with 9 classrooms. If he hires help with 80% his speed, how long will they take?

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

Explanation: The janitor cleans 3 classrooms in 1.5 hours, which means his cleaning rate is 2 classrooms per hour.

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Correct answer: 2.5 hrs

86. A freight company loads a truck in 4 hours with 2 loaders. A third loader joins after 1 hour. How long will it take to load completely?

  • A. 3 hrs
  • B. 3.2 hrs
  • C. 3.5 hrs
  • D. 4 hrs

Explanation: The initial work rate with 2 loaders is 1 truck per 4 hours, or 1/4 of the truck per hour. After 1 hour, 1/4 of the truck is loaded.

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Correct answer: 3.2 hrs

87. A sculptor needs to complete 6 statues in 24 days. After 12 days, only 1 statue is finished. To complete on time, how many assistants (equally efficient) are needed if each works like him?

  • A. 1
  • B. 2
  • C. 3
  • D. 4

Explanation: Initially, the sculptor's work rate is 1/24 statues per day, as 6 statues need to be completed in 24 days.

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Correct answer: 3

88. A publishing house has two editors. Editor A edits 80 pages/day, B edits 60 pages/day. If a 700-page book needs to be edited, how many days if they work alternately starting with A?

  • A. 8
  • B. 9
  • C. 10
  • D. 11

Explanation: The problem involves calculating the total pages edited in alternating cycles of two days.

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Correct answer: 11

89. A bakery can bake 120 muffins in 4 hours. One oven breaks, reducing output by 40%. Time to bake same amount now?

  • A. 5.6 hrs
  • B. 6 hrs
  • C. 6.2 hrs
  • D. 6.5 hrs

Explanation: Initially, the bakery operates at a capacity of 30 muffins per hour, producing 120 muffins in 4 hours.

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Correct answer: 6 hrs

90. A blogger writes 3 articles per day. During a content sprint, they must write 20 in 5 days. On day 3, they fall sick and write only 1. How many daily to meet goal?

  • A. 4
  • B. 5
  • C. 6
  • D. 6.5

Explanation: The blogger must write 20 articles in 5 days, initially planning to write 3 articles per day, totaling 15 articles.

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Correct answer: 6.5

91. A solar panel setup team installs 5 panels per hour. A second team works at 60% that speed. Together, how long to install 88 panels?

  • A. 8
  • B. 9
  • C. 10
  • D. 11

Explanation: The first team installs 5 panels per hour. The second team works at 60% of this speed, which means it installs 3 panels per hour (60% of 5…

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Correct answer: 8

92. A photographer edits wedding pictures. First 100 take 6 hours, next 100 take 25% longer. Total editing time for 200 photos?

  • A. 12
  • B. 13.5
  • C. 14
  • D. 15

Explanation: To find the total editing time, start by determining the time for the first 100 photos, which is 6 hours.

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Correct answer: 13.5

93. A bakery sells 60 cakes daily with 2 bakers. Due to a promotion, demand increases by 40%. How many more bakers needed to meet demand in same time?

  • A. 1
  • B. 2
  • C. 3
  • D. 4

Explanation: The bakery originally operates with 2 bakers producing 60 cakes daily, equating to each baker making 30 cakes.

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Correct answer: 1

94. A team is hired to paint 3 houses. They paint 1 in 4 days. After 2 days, 2 extra workers (same rate) join. Time to finish all 3 houses?

  • A. 8
  • B. 9
  • C. 10
  • D. 11

Explanation: The initial team can paint 1 house in 4 days, so their rate is 1/4 house per day. In the first 2 days, they complete 1/2 of a house.

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Correct answer: 9

95. A developer codes an app in 30 days. A new tool speeds him up by 20% but he takes weekends off. How long to finish if he works Mon-Fri only?

  • A. 34
  • B. 36
  • C. 37.5
  • D. 38

Explanation: The developer originally completes the app in 30 calendar days. With a 20% speed increase, his effective working rate improves to 1.2…

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Correct answer: 37.5

96. A juice company fills 240 bottles in 3 hours. A second machine fills 150/hr. If both work, how many bottles in 2 hours?

  • A. 660
  • B. 700
  • C. 720
  • D. 750

Explanation: To solve this problem, first, determine the rate at which each machine fills bottles.

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Correct answer: 700

97. A content creator uploads 2 videos per week. During a campaign, they need to upload 15 in 3 weeks. If first week they do 4, how many weekly now?

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

Explanation: The content creator needs to upload a total of 15 videos over 3 weeks. They have already uploaded 4 videos in the first week, leaving 11…

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Correct answer: 6

98. A research team finishes a study in 90 days with 6 members. If 2 leave after 30 days, how many more days to complete the study?

  • A. 75
  • B. 80
  • C. 85
  • D. 90

Explanation: The original team of 6 members can complete the study in 90 days, which totals to 540 member-days of work (6 members × 90 days).

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Correct answer: 80

99. A window cleaner cleans 4 windows/hr. New equipment increases speed by 50%. How long to clean 30 windows now?

  • A. 4 hrs
  • B. 3 hrs
  • C. 5 hrs
  • D. 5.5 hrs

Explanation: The window cleaner originally cleans 4 windows per hour. With the new equipment, the speed increases by 50%, leading to a rate of 4 + (0.5…

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Correct answer: 5 hrs

100. A team translates a book in 40 days. A second team with 60% the efficiency joins after 10 days. Total time to complete the book?

  • A. 28
  • B. 30
  • C. 32
  • D. 34

Explanation: The first team works alone for 10 days, completing 10/40 = 1/4 of the book, leaving 3/4 of the book.

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Correct answer: 30
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