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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 2 of 26

21. One apple pie has 10 slices, and each apple pie feeds five people. Henry is having a party with 200 people. How many slices of pie does he need?

Hard
  • A. 200
  • B. 50
  • C. 400
  • D. 100

Explanation: Feeding 200 people at five people per pie needs 40 pies, and at 10 slices each that is 400 slices.

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Correct answer: 400

22. Asad bought 50 packets of biscuits for the price of Rs. 500, whereas Anum bought 25 packets of chips for the price of Rs. 1000. While comparing the prices of packets of biscuits and packet of chips, which of the following statements is correct?

Very hard
  • A. Price of 4 packets of biscuits is equal to the price of 1 packet of chips
  • B. Price of 1 packet of biscuits is equal to the price of 4 packets of chips
  • C. Price of 2 packets of biscuits is equal to the price of 1 packet of chips
  • D. Price of 1 packet of biscuits is equal to the price of 2 packets of chips

Explanation: A packet of biscuits costs 500 divided by 50, that is Rs. 10, and a packet of chips costs 1000 divided by 25, that is Rs.

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Correct answer: Price of 4 packets of biscuits is equal to the price of 1 packet of chips

23. Read the following and choose the correct answer.X, Y and Z are three whole numbers less than 24 but greater than 11. X is the smallest prime number. Y is the largest number divisible by 3. Z is the smallest number divisible by 11.

  • A. X is 13, Y is 24, Z is 11
  • B. X is 13, Y is 21, Z is 22
  • C. X is 11, Y is 21, Z is 11
  • D. X is 11, Y is 24, Z is 22

Explanation: As the question states, the whole number is less than 24, hence options A and D are eliminated.

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Correct answer: X is 13, Y is 21, Z is 22

24. Answer on passage:The high school math department needs to appoint a new chairperson, which will be based on seniority. Ms. West has less seniority than Mr. Temple, but more than Ms. Brody. Mr. Rhodes has more seniority than Ms. West, but less than Mr. Temple. Mr. Temple doesn't want the job. Who will be the new math department chairperson?

  • A. Mr. Rhodes
  • B. Mr. Temple
  • C. Ms. West
  • D. Mr. Brody

Explanation: Mr. Temple has the most seniority, but he does not want the job. Next in line is Mr. Rhodes, who has more seniority than Ms. West or Ms.

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Correct answer: Mr. Rhodes

25. A can paint a wall in 3 hours, with the help of B they can fill in 2 hours. In how much time B alone will paint the wall:

  • A. 6
  • B. 3
  • C. 2
  • D. 5

Explanation: To solve this, first determine the work rate of A. A can paint a wall in 3 hours, so A's rate is 1/3 of a wall per hour.

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Correct answer: 6

26. If your doctor gave you 5 doses of medicine and advised to take one every 4 hours how long would they last:

  • A. Two days
  • B. 16 hours
  • C. 20 hours
  • D. 12 hours

Explanation: The correct answer is 16 hours. You begin with the first dose at hour 0. Each dose is taken 4 hours apart.

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Correct answer: 16 hours

27. An insect begins climbing a wall 15 feet high every minute it ascends 2 feet but slides 6 inches. How much time will it reach the top:

  • A. 15
  • B. 5
  • C. 10
  • D. None

Explanation: To solve the problem, convert all measurements to inches: the wall is 15 feet, which is 180 inches.

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Correct answer: 10

28. How many minutes are there in 2h hours and 6m minutes?

  • A. 60m + 12m
  • B. 120m + 6m
  • C. 60m + 6m
  • D. 120m + 60m

Explanation: To determine the total number of minutes, first convert the hours into minutes.

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Correct answer: 120m + 6m

29. Ty earns $14 an hour working on weekdays and $21 an hour working on weekends. If he wants to make at least $600 by working a total of 36 hours in a week, to the nearest hour, at least how many hours does he need work on the weekends?

  • A. 10
  • B. 11
  • C. 12
  • D. 13
  • E. 14

Explanation: To determine the minimum number of weekend hours Ty needs to work, set up equations based on the conditions: total hours are x + y = 36…

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Correct answer: 14

30. It took Sara a total of 42 minutes to jog from home to the park and back again, by the same path. If she averaged 8 miles per hour going to the park and 6 miles per hour coming back, what is the distance from her home to the park?

  • A. 2.4 miles
  • B. 2.8 miles
  • C. 3.2 miles
  • D. 3.6 miles

Explanation: To solve this problem, apply the formula Time = Distance/Speed. Let the distance one way be d miles.

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Correct answer: 2.4 miles

31. Jason and Donny painted a house and received $1,200. To complete the painting job Jason painted 4 hours 25 minutes and Donny spent 2 hours and 15 minutes. If they split the $1,200 in proportion to the amount of time each spent painting, how much did Donny receive?

  • A. $405.00
  • B. $443.00
  • C. $472.00
  • D. $492.00

Explanation: First, convert the time each person spent painting into hours:Jason: 4 hours and 25 minutes = 4 + 25/60 = 4.4167 hoursDonny: 2 hours and…

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Correct answer: $405.00

32. Find the distance which Mara covers to get to her friend Bunica.

  • A. 300 m
  • B. 400 m
  • C. 800 m
  • D. 1 km

Explanation: To find the total distance Mara covers, recognize that ⅛ of the total distance is given as 100 m.

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Correct answer: 800 m

33. How many seconds are there from 4 p.m. to 2 a.m.?

  • A. 3600
  • B. 5040
  • C. 36000
  • D. 50400

Explanation: To find the number of seconds from 4 p.m. to 2 a.m., first calculate the number of hours: from 4 p.m.

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Correct answer: 36000

34. If Sajid can type a page in 't' minutes and Salma can type a page in 's' minutes, how many pages can both type in 10 minutes?

  • A. 10t + 10s
  • B. 10/t + 10/s
  • C. t/10 + s/10
  • D. 10/(s+t)

Explanation: To determine how many pages Sajid and Salma can type together in 10 minutes, calculate each person's typing rate per minute.

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Correct answer: 10/t + 10/s

35. Oil and gas production in a certain area dropped from 4 million barrels in 2000 to 1.9 million barrels in 2013. Assuming that the oil and gas production decreased at a constant rate, which of the following linear functions f best models the production, in millions of barrels, t years after the year 2000?

  • A. f(t) = (21/130)t + 4
  • B. f(t) = (19/130)t + 4
  • C. f(t) = (-21/130)t + 4
  • D. f(t) = (-19/130)t + 4

Explanation: The correct answer is Option C: f(t) = (-21/130)t + 4. The production of oil and gas decreased from 4 million barrels in 2000 to 1.9…

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Correct answer: f(t) = (-21/130)t + 4

36. Jenny has a pitcher that contains 1 gallon of water. How many times could Jenny completely fill the glass of volume 16 fluid ounces with 1 gallon of water? (1 gallon = 128 fluid ounces)

  • A. 16
  • B. 8
  • C. 4
  • D. 3

Explanation: The correct answer is Option B. Since 1 gallon equals 128 fluid ounces, dividing this by the glass's volume of 16 fluid ounces gives 8…

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Correct answer: 8

37. A photocopy machine is initially loaded with 5,000 sheets of paper. The machine starts a large job and copies at a constant rate. After 20 minutes, it has used 30% of the paper. Which of the following equations models the number of sheets of paper, p, remaining in the machine m minutes after the machine started printing?

  • A. p = 5,000 - 20m
  • B. p = 5,000 - 75m
  • C. p = 5,000 (0.3)m/20
  • D. p = 5,000 (0.7)m/20

Explanation: Choice B is correct because it establishes a linear relationship between the number of sheets remaining and time, based on the constant…

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Correct answer: p = 5,000 - 75m

38. The function f(t) = 60,000(2)t/410 gives the number of bacteria in a population t minutes after an initial observation. How much time, in minutes, does it take for the number of bacteria in the population to double?

  • A. 410
  • B. 310
  • C. 210
  • D. 420

Explanation: The correct answer is 410. The exponential function f(t) = 60,000(2)t/410 represents the growth of the bacteria population over time.

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Correct answer: 410

39. A typist can type a document in 6 hours. After working for 2 hours, he realizes that the client sent a new version. If the changes require 50% more time than the original, how much more time is now needed?

  • A. 5 hrs
  • B. 6 hrs
  • C. 7 hrs
  • D. 8 hrs

Explanation: Initially, the typist needs 6 hours to complete the document. After 2 hours of work, 1/3 of the document is done, leaving 4 hours of work.

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Correct answer: 7 hrs

40. A sculptor has to carve 10 identical statues. He completes 2 in 4 days, then hires an apprentice who works at half his speed. Together, how many more days to finish?

  • A. 8
  • B. 10
  • C. 12
  • D. 14

Explanation: The sculptor completes 2 statues in 4 days, implying his work rate is 0.5 statues per day. He has 8 statues left to complete.

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Correct answer: 8
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