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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 24 of 26

461. Danish faces north and walks 6 metres. He turns right and walks 8 metres, turns right and walks 3 metres, then turns left and walks 4 metres. In which direction is he from his starting point?

Moderate
  • A. North-east
  • B. North-west
  • C. South-east
  • D. South-west

Explanation: His northward movement is 6 minus 3, or 3 metres. His eastward movement is 8 plus 4, or 12 metres, so he is north-east.

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Correct answer: North-east

462. Mariam faces west and walks 12 metres. She turns right and walks 5 metres, turns right and walks 4 metres, then turns left and walks 3 metres. In which direction is she from her starting point?

Moderate
  • A. North-east
  • B. North-west
  • C. South-east
  • D. South-west

Explanation: She moves 12 metres west and 4 metres east, leaving 8 metres west. Her northward movement is 5 plus 3, so she is north-west.

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Correct answer: North-west

463. Kashif faces north and walks 6 metres. He turns right and walks 8 metres, turns right and walks 3 metres, turns left and walks 4 metres, then turns left and walks 2 metres. What is his straight-line distance from the starting point?

Hard
  • A. 13 metres
  • B. 17 metres
  • C. 12 metres
  • D. 5 metres

Explanation: The final position is 12 metres east and 5 metres north of the start. These form a 5-12-13 triangle, so the distance is 13 metres.

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Correct answer: 13 metres

464. Amina faces west and walks 14 metres. She turns left and walks 6 metres, turns right and walks 4 metres, turns right and walks 2 metres, then turns left and walks 3 metres. In which direction is she from her starting point?

Hard
  • A. North-east
  • B. North-west
  • C. South-east
  • D. South-west

Explanation: She travels 14 metres west, then 4 more west, and finally 3 west, while moving 6 south and 2 north.

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Correct answer: South-west

465. Raza faces north and walks 7 metres. He turns right and walks 5 metres, turns left and walks 4 metres, turns right and walks 6 metres, then turns left and walks 3 metres. Which direction is he facing now?

Very hard
  • A. North
  • B. South
  • C. East
  • D. West

Explanation: Starting north, the turns are right, left, right, and left. The first pair cancels and the second pair cancels, leaving him facing north.

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Correct answer: North

466. Fariha faces east and walks 8 metres. She turns left and walks 3 metres, turns left and walks 4 metres, turns right and walks 5 metres, then turns right and walks 2 metres. What is her straight-line distance from the starting point?

Very hard
  • A. 10 metres
  • B. 14 metres
  • C. 12 metres
  • D. 8 metres

Explanation: Her net eastward movement is 8 minus 4 plus 2, or 6 metres. Her net northward movement is 3 plus 5, or 8 metres, giving a 6-8-10 triangle.

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Correct answer: 10 metres

467. Usman faces east and walks 7 metres. He turns right. Which direction is he facing now?

Easy
  • A. North
  • B. South
  • C. East
  • D. West

Explanation: When facing east, a right turn points south. The distance walked does not affect the direction faced.

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Correct answer: South

468. Hassan faces east and walks 6 metres. He turns left and walks 8 metres, then turns left and walks 6 metres. In which direction is he from his starting point?

Fairly easy
  • A. South
  • B. East
  • C. North
  • D. West

Explanation: The first and third walks are equal and opposite, so they cancel. Only the 8-metre movement north remains.

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Correct answer: North

469. Adeel walks 8 metres south, then turns right and walks 6 metres. In which direction is he from his starting point?

Fairly easy
  • A. Southwest
  • B. Southeast
  • C. Northeast
  • D. Northwest

Explanation: Facing south, a right turn points west. He is therefore both south and west of the start, or southwest.

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Correct answer: Southwest

470. Saba faces north and walks 9 metres. She turns right and walks 4 metres, then turns right and walks 9 metres. In which direction is she from her starting point?

Moderate
  • A. East
  • B. West
  • C. North
  • D. South

Explanation: The north and south walks cancel because both are 9 metres. The remaining 4-metre movement is east.

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Correct answer: East

471. Noman faces east and walks 10 metres. He turns left and walks 6 metres, turns right and walks 4 metres, turns right and walks 8 metres, then turns left and walks 3 metres. In which direction is he from his starting point?

Hard
  • A. Southwest
  • B. Southeast
  • C. Northeast
  • D. Northwest

Explanation: The eastward movements total 17 metres, while the north and south movements leave him 2 metres south. Thus he is southeast of the start.

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Correct answer: Southeast

472. Kiran faces north and walks 7 metres. She turns right and walks 1 metre, turns right and walks 3 metres, turns left and walks 2 metres, turns left and walks 4 metres, then turns right and walks 3 metres. What is her straight-line distance from the starting point?

Very hard
  • A. 8 metres
  • B. 10 metres
  • C. 12 metres
  • D. 14 metres

Explanation: Her total eastward displacement is 6 metres, and her northward displacement is 8 metres. The 6-8-10 triangle gives a distance of 10 metres.

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Correct answer: 10 metres

473. Yusuf faces north and walks 7 metres. He then turns left. Which direction is he facing now?

Easy
  • A. North
  • B. West
  • C. South
  • D. East

Explanation: When a person faces north, a left turn points toward the west. The distance walked does not change the direction faced.

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Correct answer: West

474. Komal faces north and walks 8 metres. She turns right and walks 15 metres. What is her straight-line distance from the starting point?

Easy
  • A. 17 metres
  • B. 21 metres
  • C. 23 metres
  • D. 25 metres

Explanation: The two movements form the perpendicular sides of an 8, 15, 17 triangle. Therefore, the straight-line distance from the start is 17 metres.

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Correct answer: 17 metres

475. Irfan walks 8 metres west, then turns right and walks 6 metres. In which direction is he from his starting point?

Fairly easy
  • A. Northeast
  • B. Northwest
  • C. Southeast
  • D. Southwest

Explanation: While facing west, turning right makes him face north. He is therefore both west and north of his starting point, so he is northwest.

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Correct answer: Northwest

476. Bushra faces south and walks 12 metres. She turns left and walks 5 metres. What is her straight-line distance from the starting point?

Fairly easy
  • A. 11 metres
  • B. 12 metres
  • C. 13 metres
  • D. 17 metres

Explanation: The southward and eastward movements are perpendicular sides of a 5, 12, 13 triangle. The straight-line distance is therefore 13 metres.

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Correct answer: 13 metres

477. Saad faces east and walks 10 metres. He turns left and walks 7 metres, then turns right and walks 4 metres, then turns right and walks 6 metres. In which direction is he from his starting point?

Moderate
  • A. Northeast
  • B. Southeast
  • C. Northwest
  • D. Southwest

Explanation: His eastward movement totals 14 metres, while his net northward movement is 1 metre.

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Correct answer: Northeast

478. Eman faces north and walks 13 metres. She turns right and walks 4 metres, turns right and walks 5 metres, then turns left and walks 2 metres. What is her straight-line distance from the starting point?

Hard
  • A. 8 metres
  • B. 9 metres
  • C. 10 metres
  • D. 11 metres

Explanation: Her net movement is 8 metres north, because 13 minus 5 equals 8. Her eastward movement is 6 metres, because 4 plus 2 equals 6, giving a 6…

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Correct answer: 10 metres

479. Haris faces west and walks 13 metres. He turns left and walks 5 metres, turns left and walks 5 metres, then turns right and walks 11 metres, then turns right and walks 4 metres. What is his straight-line distance from the starting point?

Very hard
  • A. 18 metres
  • B. 20 metres
  • C. 22 metres
  • D. 24 metres

Explanation: The final position is 12 metres west and 16 metres south of the start. These form a 12, 16, 20 triangle, so the straight-line distance is…

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Correct answer: 20 metres

480. Sara is 7th from the top and 9th from the bottom in a class. How many students are in the class?

Easy
  • A. 14 students
  • B. 15 students
  • C. 16 students
  • D. 17 students

Explanation: Count Sara only once when combining the two ranks: 7 + 9 - 1 = 15. Therefore, there are 15 students in the class.

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Correct answer: 15 students
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