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GATE Logical Reasoning Questions
Practise logical reasoning (reasoning) for the Graduate Aptitude Test in Engineering: 10 multiple-choice questions, each with the correct answer and a worked explanation. Click an option to check it, or “New questions” for another set.
Logical Reasoning practice
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Q1.Which number is the odd one out: 39, 49, 51, 53?
Show answer & explanation
Answer: D — 53
51, 49, 39 are composite; 53 is prime.
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Q2.Find the next letter: E, I, M, Q, ?
Show answer & explanation
Answer: B — U
The letters advance by 4 each time (skip 3).
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Q3.What is the angle between the hour and minute hands of a clock at 11:25?
Show answer & explanation
Answer: C — 167.5°
Angle = |30H − 5.5M| = |30×11 − 5.5×25| = 192.5°; the smaller angle is 360 − that = 167.5°.
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Q4.Ravi walks 5 m north, turns right and walks 3 m, then turns right again and walks 4 m. How far is he from the start?
Show answer & explanation
Answer: C — 3.16 m
Net: 1 m north and 3 m east. Distance = √(1² + 3²) = 3.16 m.
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Q5.Which number is the odd one out: 13, 41, 57, 61?
Show answer & explanation
Answer: C — 57
41, 61, 13 are prime; 57 is composite (57 = 3 × 19).
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Q6.Which number is the odd one out: 27, 31, 59, 61?
Show answer & explanation
Answer: A — 27
31, 61, 59 are prime; 27 is composite (27 = 3 × 9).
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Q7.Find the next letter: J, M, P, S, ?
Show answer & explanation
Answer: C — V
The letters advance by 3 each time (skip 2).
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Q8.What day of the week was 7 April 2004?
Show answer & explanation
Answer: D — Wednesday
Using odd days (or Zeller’s rule), 7 April 2004 falls on a Wednesday.
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Q9.Which number is the odd one out: 35, 41, 49, 57?
Show answer & explanation
Answer: B — 41
49, 57, 35 are composite; 41 is prime.
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Q10.What is the angle between the hour and minute hands of a clock at 4:30?
Show answer & explanation
Answer: C — 45°
Angle = |30H − 5.5M| = |30×4 − 5.5×30| = 45°.
How to approach logical reasoning questions
For coding questions write the letter positions (A = 1 … Z = 26). For directions, draw axes and track each turn. Clock angle = |30H − 5.5M|. Calendar: count odd days.
About GATE
Graduate Aptitude Test in Engineering — conducted by IISc Bengaluru and the IITs (organising institute rotates). Tests engineering and science graduates for M.Tech admissions and PSU recruitment; every paper includes General Aptitude.
Original practice questions written for this site in the style and difficulty of each exam’s syllabus. They are not past papers and the site is not affiliated with any exam body. Exam patterns, marking schemes and syllabi change — always check the latest official notification.
GATE practice topics
| Topic | Section | Question source |
|---|---|---|
| Algebra | Mathematics | Calculated (new numbers every set) |
| Probability & Combinatorics | Mathematics | Calculated (new numbers every set) |
| Physics | Science | Calculated + question bank |
| Logical Reasoning | Reasoning | Calculated (new numbers every set) |
| Vocabulary & Idioms | English | Question bank |