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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 23 of 26

441. Sara walks 6 metres east, then turns left and walks 4 metres. In which direction is she from her starting point?

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

Explanation: From the starting point, Sara is 6 metres east and 4 metres north. East combined with north gives the direction northeast.

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Correct answer: Northeast

442. Bilal walks 6 metres north, turns right and walks 8 metres, then turns right and walks 6 metres. In which direction is he from his starting point?

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

Explanation: The northward and southward movements cancel each other. He remains 8 metres east of the starting point, so his direction is east.

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Correct answer: East

443. Ayesha walks 9 metres south, turns left and walks 12 metres. What is her straight-line distance from the starting point?

Fairly easy
  • A. 15 metres
  • B. 18 metres
  • C. 21 metres
  • D. 3 metres

Explanation: Her movements form perpendicular sides of 9 metres and 12 metres. Using the 9-12-15 triangle, the straight-line distance is 15 metres.

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Correct answer: 15 metres

444. Hamza faces north and walks 10 metres. He turns right and walks 6 metres, then turns right and walks 10 metres. In which direction is he from his starting point?

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

Explanation: The 10-metre northward and southward movements cancel. Hamza is left 6 metres east of where he started.

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Correct answer: East

445. Maryam faces east and walks 8 metres. She turns left and walks 6 metres, turns left and walks 8 metres, then turns right and walks 3 metres. In which direction is she from her starting point?

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

Explanation: The 8 metres east and 8 metres west cancel each other. The two northward movements total 9 metres, so she is north of the start.

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Correct answer: North

446. Usman walks 9 metres north, turns right and walks 12 metres, turns right and walks 3 metres, then turns right and walks 4 metres. In which direction is he from his starting point?

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

Explanation: The final eastward position is 12 minus 4, or 8 metres, and the northward position is 9 minus 3, or 6 metres.

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Correct answer: Northeast

447. Zainab faces west and walks 15 metres. She turns left and walks 8 metres, turns left and walks 9 metres, then turns right and walks 12 metres. In which direction is she from her starting point?

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

Explanation: Her westward movement exceeds the eastward movement by 6 metres. Her total southward movement is 20 metres, so she is both west and south…

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Correct answer: Southwest

448. Fatima faces north and walks 14 metres. She turns right and walks 7 metres, turns right and walks 6 metres, turns left and walks 5 metres, then turns right and walks 3 metres. What is her straight-line distance from the starting point?

Very hard
  • A. 13 metres
  • B. 12 metres
  • C. 14 metres
  • D. 17 metres

Explanation: Her eastward distance is 7 plus 5, giving 12 metres, while her northward distance is 14 minus 6 minus 3, giving 5 metres.

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Correct answer: 13 metres

449. Rashid faces south and walks 10 metres. He turns left and walks 4 metres, turns left and walks 10 metres, turns right and walks 4 metres, then turns left and walks 6 metres. What is his straight-line distance from the starting point?

Very hard
  • A. 10 metres
  • B. 8 metres
  • C. 6 metres
  • D. 14 metres

Explanation: The eastward movements total 8 metres, while the northward movement exceeds the southward movement by 6 metres.

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Correct answer: 10 metres

450. Nadia faces south and walks 7 metres. She turns left. Which direction is she facing now?

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

Explanation: When facing south, a left turn points towards the east. The distance walked does not change the direction she faces.

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Correct answer: East

451. Omar faces west and walks 5 metres. He turns right. Which direction is he facing now?

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

Explanation: A person facing west faces north after making a right turn. Walking before the turn has no effect on the answer.

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Correct answer: North

452. Hina faces north and walks 5 metres. She turns right and walks 4 metres, then turns right and walks 2 metres. In which direction is she from her starting point?

Fairly easy
  • A. North-east
  • B. South-east
  • C. South-west
  • D. North-west

Explanation: Her final position is 4 metres east and 3 metres north of the start, because 5 north minus 2 south leaves 3 north.

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Correct answer: North-east

453. Laiba faces east and walks 9 metres. She turns right and walks 12 metres, then turns right and walks 4 metres. What is her straight-line distance from the starting point?

Moderate
  • A. 11 metres
  • B. 12 metres
  • C. 13 metres
  • D. 15 metres

Explanation: She travels 9 metres east, then 12 metres south, and finally 4 metres west.

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Correct answer: 13 metres

454. Rehan faces east and walks 10 metres. He turns left and walks 6 metres, turns left and walks 4 metres, then turns right and walks 2 metres. What is his straight-line distance from the starting point?

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

Explanation: The net eastward distance is 10 minus 4, or 6 metres. The northward distance is 6 plus 2, or 8 metres, so the 6-8-10 triangle gives a…

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Correct answer: 10 metres

455. Iqra faces west and walks 6 metres. She turns left and walks 5 metres, turns right and walks 2 metres, turns right and walks 4 metres, then turns left and walks 3 metres. In which direction is she from her starting point?

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

Explanation: Her westward movements total 11 metres, while the southward movement is 5 metres and the northward movement is 4 metres.

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Correct answer: South-west

456. Taha faces north and walks 5 metres. He turns right and walks 2 metres, turns right and walks 2 metres, turns left and walks 1 metre, turns left and walks 5 metres, then turns right and walks 3 metres. What is his straight-line distance from the starting point?

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

Explanation: The eastward movements total 2 plus 1 plus 3, giving 6 metres east. The northward position is 5 minus 2 plus 5, giving 8 metres north, so…

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Correct answer: 10 metres

457. Maha faces north and walks 7 metres. She turns right and walks 5 metres, turns left and walks 2 metres, turns right and walks 4 metres, turns right and walks 6 metres, then turns left and walks 3 metres. In which direction is she from her starting point?

Very hard
  • A. North-east
  • B. South-east
  • C. South-west
  • D. North-west

Explanation: Her eastward movements total 5 plus 4 plus 3, or 12 metres. Her northward movements total 7 plus 2 minus 6, or 3 metres, so she is…

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Correct answer: North-east

458. Sana faces south and walks 6 metres. She turns right and walks 2 metres, then turns right again. Which direction is she facing now?

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

Explanation: A right turn from south points west. A second right turn from west points north, so Sana faces north.

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Correct answer: North

459. Waleed faces west and walks 5 metres. He turns left and walks 12 metres. What is his straight-line distance from the starting point?

Fairly easy
  • A. 13 metres
  • B. 17 metres
  • C. 7 metres
  • D. 60 metres

Explanation: The two movements form perpendicular sides of 5 and 12 metres. Their straight-line distance is the 5-12-13 triangle, giving 13 metres.

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Correct answer: 13 metres

460. Hira faces north and walks 8 metres. She turns right and walks 6 metres, then turns left and walks 4 metres. In which direction is she from her starting point?

Fairly easy
  • A. North-east
  • B. North-west
  • C. South-east
  • D. South-west

Explanation: She moves 6 metres east and 12 metres north in total. Both coordinates are positive, so she is north-east of her starting point.

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Correct answer: North-east
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