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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 13 of 26

241. Andy wants a challenge and he has decided to cycle from Jamestown to Country End, a distance of 1600km. He never cycles more than 150km each day, but in order to conserve his energies, he has decided on the following restrictions: • After he has cycled 150km for each of two consecutive days he will cycle only 75km the next day.• On Saturdays he will cycle only 75km and on Sundays he will have a rest day.• On each day he will cycle the maximum permitted within these restrictions.Andy will leave Jamestown early on a Wednesday morning.If he completes the ride without any unexpected delays on what day of the week will Andy arrive in Country End?

  • A. A) Monday
  • B. B) Tuesday
  • C. C) Wednesday
  • D. D) Thursday

Explanation: Andy starts his journey on an early Wednesday morning and plans to cycle a maximum of 150km each day, except for the restrictions…

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Correct answer: D) Thursday

242. Susan (circle), Ahmad (triangle), and Sam (star) are each walking in an octagonal park on a Sunday morning. At 10:00, the following figure depicts their positions. Susan moves 3 vertices clockwise in each hour, Ahmad moves 1 vertex clockwise each hour, while Sam moves 2 vertices anticlockwise each hour. Will all three ever meet on a vertex at the same instant?

  • A. Yes, they meet at 12:00
  • B. Yes, they meet at 3:00
  • C. Yes, they meet at 17:00
  • D. No, they never meet

Explanation: We are given:An octagonal park (8 vertices)Initial positions at 10:00 AM:Susan (circle) at vertex ASam (star) at vertex BAhmad (triangle)…

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Correct answer: Yes, they meet at 3:00

243. The minimum number of cubes to be placed in empty spaces to complete the cube is

  • A. 11
  • B. 17
  • C. 16
  • D. 21

Explanation: The total number of small cubes required for making 3 x3 cube is:3 x 3=27In the given figure, 10 small cubes are already given so the…

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Correct answer: 17

244. Choose a box similar to the box formed in the given sheet of paper.

  • A. A & C only
  • B. A & D only
  • C. B & C only
  • D. C & D only

Explanation: This is correct as the sides shown match with the sheet of paper opened up, the box formed can be viewed similarly.

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Correct answer: A & C only

245. Two positions of dice are shown below. How many points will appear on the opposite to the face containing 5 points?

  • A. 6
  • B. 5
  • C. 2
  • D. 4

Explanation: If the dice on the right is rotated upwards once, such that the side having two dots and one dot are as shown in the dice on the left, it…

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Correct answer: 4

246. When the given figure is folded to form a cube then which face is opposite to the face with 2?

  • A. 2
  • B. 1
  • C. 4
  • D. 6

Explanation: Once the cube is folded the faces opposite to each other, are 2 and 1, 4 and 5, 3 and 6. Therefore, this is not the answer.

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Correct answer: 1

247. A man used to rob the computers and He is active only for a quarter of a year. He robs three computers Vayu, Tejas and Agni. January was an unfortunate month for Tejas. Vayu was stolen in March. Now he used three tools: Pliers, Screwdriver and Hook to rob all the parts from the computer and Make His own computer. He Rob Monitor from Tejas but Does not use a hook. He robs the Printer from Vayu and uses Pliers. And from Third Computer he robs the Keyboard. i) In which month was Agni stolen? ii) Which tool was used for Tejas?

  • A. February, Hook
  • B. January, Screwdriver
  • C. February, Screwdriver
  • D. March, Pliers

Explanation: January was unfortunate for Tejas, meaning Tejas was stolen in January. Vayu was stolen in March. So, Agni was stolen in February.

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Correct answer: February, Screwdriver

248. Statements: I. All clocks are watches. II. Some clocks are alarms.Conclusions: I. Some alarms are watches. II. All watches are alarms.

  • A. Only conclusion (I) follows
  • B. Only conclusion (II) follows
  • C. Both conclusions follow
  • D. Neither conclusion follows

Explanation: Since some clocks are alarms and all clocks are watches, the alarms that are clocks must also be watches.

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Correct answer: Only conclusion (I) follows

249. Statements: I. Some pens are glass. II. All glass are walls.Conclusions: I. Some walls are pens. II. Some walls are glass.

  • A. Only conclusion (I) follows
  • B. Only conclusion (II) follows
  • C. Both conclusions follow
  • D. Neither conclusion follows

Explanation: Since some pens are glass and all glass are walls, there must be an overlap between pens and walls (Conclusion I).

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Correct answer: Both conclusions follow

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

  • A. Only conclusion (I) follows
  • B. Only conclusion (II) follows
  • C. Both conclusions follow
  • D. Neither conclusion follows

Explanation: Conclusion I directly contradicts the first statement. The statements establish that cities and countries are separate, and countries and…

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Correct answer: Neither conclusion follows

251. Statements: l. All cups are pencils.II. Some pencils are pens.Conclusions: I. Some pencils are cups. II. No pencils are cups. III. Some cups are pens.

  • A. Only conclusion (I) follows
  • B. Only conclusion (II) follows
  • C. Both I and III follow
  • D. Neither conclusion follows

Explanation: Conclusion I follows because all cups are pencils.Conclusion III follows because some pencils are pens, and cups are a subset of…

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Correct answer: Neither conclusion follows

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

  • A. Only conclusion (I) follows
  • B. Only conclusion (II) follows
  • C. Both conclusions follow
  • D. Neither conclusion follows

Explanation: Since some fruits are grapes, and all fruits are leaves, it logically follows that the fruits that are grapes must also be leaves.

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Correct answer: Only conclusion (I) follows

253. Statements: I. All apples are bananas. II.No banana is a mango. III. Some mangoes are oranges.Conclusions: I. Some oranges can be bananas. II. Some mangoes are apples.

  • A. Only conclusion (I) follows
  • B. Only conclusion (II) follows
  • C. Both conclusions follow
  • D. Neither conclusion follows

Explanation: Since no banana is a mango, and all apples are bananas, it follows that no apple can be a mango (making Conclusion II false).

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Correct answer: Neither conclusion follows

254. Statements: I. All artists are painters. II. All actors are gentle. III. All gentle are painters.Conclusions: I. No artist is an actor. II. All painters are actors.

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

Explanation: From the statements, both artists and actors fall under the larger category of painters.

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Correct answer: None follows

255. Statements: I. Only a few males are smart. II. 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. Both conclusions follow
  • D. Neither conclusion follows

Explanation: Statement: "Only a few males are smart" → Means some males are smart, and some males are NOT smart. All smart ⊂ graceful.

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Correct answer: Neither conclusion follows

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

  • A. Only conclusion (I) follows
  • B. Only conclusion (II) follows
  • C. Both conclusions follow
  • D. Neither conclusion follows

Explanation: Since some stars are moons and all moons are planets, there must be an overlap between stars and planets (Conclusion I).

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Correct answer: Both conclusions follow

257. Statements: I. Some roses are flowers.II. Some flowers are buds. III. All buds are leaves. IV. All leaves are plants.Conclusions: I. Some plants are flowers. II. Some roses are buds. III. All leaves are roses. IV. No roses are buds.

  • A. Only I follows
  • B. Only I and II follow
  • C. I and either II or IV follow
  • D. Only I and either II or IV follow

Explanation: • All leaves are plants → any subset of leaves (buds, flowers) are part of plants → Conclusion I is true.

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Correct answer: Only I and either II or IV follow

258. Pick the odd one out:

  • A. Heart
  • B. Liver
  • C. Kidney
  • D. Lungs

Explanation: • Heart, kidneys, and lungs are organs essential for immediate survival and cannot regenerate significantly.

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Correct answer: Liver

259. A person walks 10 km north, then 6 km east, then 10 km south. How far is he from the starting point?

  • A. 6 km
  • B. 4 km
  • C. 8 km
  • D. 10 km

Explanation: The person walks 10 km north and then 10 km south, which returns them to their original starting latitude.

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Correct answer: 6 km

260. If 2 pencils cost 8 rupees, how many can you buy with 40 rupees?

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

Explanation: First, find the cost of one pencil: 8 rupees / 2 pencils = 4 rupees per pencil.

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Correct answer: 10
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