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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 15 of 26

281. Verbal ClassificationIf a - b = 3 and a2 + b2 = 29, find the value of ab.

  • A. 10
  • B. 12
  • C. 15
  • D. Both A and B

Explanation: Solve using substitution A-B = 3.A = 3+B.WE KNOW THAT, A^2+B^2 = 29.(3+B) ^2+B^2 = 29.9+B^2+6B+B^2 = 29.2B^2+6B-20 = 0.B^2+3B-10 = 0.B = 2…

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Correct answer: 10

282. Read the following passage to answer the given question:A four-person crew from Classic Colors is painting Mr Zohaib's house. Ahmed is painting the front of the house. Maira is in the alley behind the house painting the back. Ayesha is painting the window frames on the north side, Hamza is on the south. If Ahmed switches places with Ayesha, and Ayesha then switches places with Hamza,Where is Hamza?

  • A. In the alley behind the house
  • B. On the north side of the house
  • C. In front of the house
  • D. On the south side of the house

Explanation: After all the switches were made, Hamza is in front of the house. Maira is in the alley behind the house, Ahmed is on the north side, and…

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Correct answer: In front of the house

283. A thermometer is to temperature as a compass is to _.

  • A. Pressure
  • B. Humidity
  • C. Direction
  • D. Needle

Explanation: As Thermometer is a measuring device of Temperature so we have to look out in option that what is compass used for and correct answer is…

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Correct answer: Direction

284. To approach this question, use a sentence: "A champion could not exist without _." Find the word that fits in.

  • A. Running
  • B. Swimming
  • C. Courage
  • D. Speaking

Explanation: In such questions we have to see that either they asked generally or specifically,As in this question they asked for champion thats a…

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Correct answer: Courage

285. Statements:I. Some pens are glass.II. All glass are wall.Conclusions:I. Some wall are pens.II. Some wall are glass.

  • A. Only conclusion (l) follows
  • B. Only conclusion (II) follows
  • C. Both conclusion follow
  • D. Neither conclusion (l) nor conclusion (II) follows
  • E. None of these

Explanation: Conclusions:I. Some wall are pens. (True) - It is clear from the given diagramII. Some wall are glass.

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Correct answer: Both conclusion follow

286. Statements:Some pastries are toffees. All toffees are chocolates.Conclusions:I. Some chocolates are toffees.II. Some toffees are not pastries.Which of the following is/are most appropriate in the above scenario?

  • A. Only I
  • B. Only II
  • C. I and II
  • D. I and II are inappropriate

Explanation: The correct answer is Option C: I and II. Conclusion I is correct because if all toffees are chocolates, then naturally some chocolates…

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Correct answer: I and II

287. Statements:Some tigers are lions. Some lions are rabbits. Some rabbits are horses.Conclusions:I. Some tigers are horses.II. Some rabbits are tigers.III. Some horses are lions.IV. All horses are rabbits.Which of the following is/are most appropriate in the above scenario?

  • A. Only I
  • B. Only III
  • C. Only III and IV
  • D. None of these

Explanation: Upon analyzing the statements, none of the conclusions I, II, III, or IV can be definitively concluded.

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Correct answer: None of these

288. Statements:An players are spectators. Some spectators are theatres. Some theatres are dramas.Conclusions:I. Some dramas are spectators.II. some players are dramas.III. Some theatres are players.IV. All spectatom are players.Which of the following is/are most appropriate in the above scenario?

  • A. Only II and IV
  • B. Only I and III
  • C. Only II
  • D. None of these

Explanation: Conclusion I is possible but not guaranteed. * Conclusions II, III, and IV are definitely false"None of these" is correct aligns with a…

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Correct answer: None of these

289. Statements :All fruits are leaves.Some fruits are grapes.Conclusions :I. Some leaves are grapes.II. All grapes are fruits.

  • A. Only conclusion I follows
  • B. Both conclusions I and II follow
  • C. Only conclusion II follows
  • D. Neither conclusion I nor conclusion II follows
  • E. None of these

Explanation: Conclusions :I. Some leaves are grapes - True, it is a definite case.II.

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Correct answer: Only conclusion I follows

290. Statements:A. All artists are painters.B. All actors are gentle.C. All gentle are painters.Conclusions:I. No artist is actor.II. All painters are actors.III. Some gentle are not actorsIV. Some artist are not gentle.

  • A. None follows
  • B. Only I follows
  • C. Only II follows
  • D. Only III follows
  • E. Only I and II follow

Explanation: None of the four conclusions is necessarily true. Hence "none follows" will be the answer.Let's analyze the given statements and…

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Correct answer: None follows

291. Statements:Some stars are moons.All moons are planets.No planet is universe.Conclusions:I. At least some planets are stars.II.No moon is universe.

  • A. Only conclusion I follows
  • B. Only conclusion II follows
  • C. Either conclusion I or conclusion II follows
  • D. Neither conclusion I nor conclusion II follows
  • E. Both conclusion I and conclusion II follow

Explanation: Both conclusion I and conclusion II follows

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Correct answer: Both conclusion I and conclusion II follow

292. Statements:No computer is a mobile.Some laptops are mobiles.Conclusions:I. No computer is a laptop.II. All laptops are computers.

  • A. Only conclusion I follows.
  • B. Only conclusion II follows.
  • C. Either conclusion I or II follows.
  • D. Neither conclusion I nor II follows.
  • E. Both conclusion I and II follows.

Explanation: I. No computer is a laptop. Here, the information is not definite. So, it does not follow. A computer can be or can not be a laptop.II.

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Correct answer: Neither conclusion I nor II follows.

293. Statements:All apples are bananas.No banana is a mango.Some mangoes are oranges.Conclusions:I. All oranges can never be bananas.II. Some mangoes are apples.

  • A. Only conclusion I follows
  • B. Only conclusion II follows
  • C. Either conclusion I or conclusion II follows.
  • D. Neither conclusion I nor conclusion II follows.
  • E. Both conclusion I and conclusion II follows.

Explanation: I. All oranges can never be bananas. - (True) - Since some of the part of orange is in mango. Therefore the conclusion is true.II.

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Correct answer: Only conclusion I follows

294. Statement: I) No rabbit is lion. II) Some horses are lions. III) All rabbits are tables. Conclusions:I) Some tables are lions.II) Some horses are rabbits.III) No lion is table.

  • A. None follows
  • B. Only III follows
  • C. Only II and III follow
  • D. None of these

Explanation: There is a clear relation that no lion is a table as we know that all rabbits are tables and none rabbit is a lion , conclusion one and…

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Correct answer: Only III follows

295. Statements: No cities are countries. No countries are villages. Conclusions: I. Some countries are city. II. No villages are city.

  • A. Only conclusion I follows
  • B. Only conclusion II follows
  • C. Only conclusion I and II follow
  • D. Neither conclusion I nor conclusion II follows
  • E. None of these

Explanation: Conclusions: I. Some countries are city - False, it is not a definite case. II. No villages are city - False, it is not a definite case.

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Correct answer: Neither conclusion I nor conclusion II follows

296. Statements: Some tigers are lions. Some lions are rabbits. Some rabbits are horses. Conclusions: I. Some tigers are horses. II. Some rabbits are tigers. III. Some horses are lions. IV. All horses are rabbits. Which of the following is/are most appropriate in the above scenario?

  • A. Only IV
  • B. Only II and IV
  • C. Only I and II
  • D. None of these

Explanation: The explanation for this question will be given later.

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Correct answer: None of these

297. Statements : All cups are pencils. Some pencils are pens. Conclusions : I. Some pencils are cups. II. No pencil are cups. III. Some cups are pens.

  • A. Only conclusion I follows
  • B. Only conclusion III follows
  • C. Only conclusion I and II follow
  • D. Only conclusion II and III follow
  • E. None of these

Explanation: Conclusions : I. Some pencils are cups - True, it is a definite case. II. No pencil are cups - False, it is not a definite case. III.

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Correct answer: Only conclusion I follows

298. Statements:Only a few males are smart.All smart are graceful.Conclusions:I. All graceful can be male.II. Some graceful are smart.

  • A. Only conclusion I follows
  • B. Only conclusion II follows
  • C. Either conclusion I or conclusion II follows
  • D. Neither conclusion I nor conclusion II follows
  • E. Both the conclusions follow

Explanation: The least possible Venn diagram for the given statements is as follows:Conclusions:I.

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Correct answer: Only conclusion II follows

299. Statements:Some kings are queens. All queens are beautiful.Conclusions:I. All kings are beautiful.II. All queens are kings.Which of the following is/are most appropriate in the above scenario?

  • A. Only I
  • B. Only II
  • C. l and II
  • D. I and II are inappropriate

Explanation: I. All kings are beautiful. This does not follow.Only some kings are queens, and we only know queens are beautiful.We cannot conclude that…

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Correct answer: I and II are inappropriate

300. Statements:All hill stations have a sun-set point. X is a hill station.Conclusions:I. X has a sun-set point.II. Places other than hill stations do not have sun-set points.Which of the following is/are most appropriate in the above scenario?

  • A. Only I
  • B. Only II
  • C. I and II
  • D. I and II are inappropriate

Explanation: Statements:All hill stations have a sun-set point.X is a hill station.Conclusions:I. X has a sun-set point.

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Correct answer: Only I
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