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11+ Exam Logical Reasoning Questions
Practise logical reasoning (reasoning) for the UK 11+ (Eleven Plus) Grammar School Entrance: 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: 13, 19, 33, 53?
Show answer & explanation
Answer: D — 33
19, 13, 53 are prime; 33 is composite (33 = 3 × 11).
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Q2.What day of the week was 16 August 2017?
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Answer: A — Wednesday
Using odd days (or Zeller’s rule), 16 August 2017 falls on a Wednesday.
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Q3.What day of the week was 2 June 2016?
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Answer: D — Thursday
Using odd days (or Zeller’s rule), 2 June 2016 falls on a Thursday.
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Q4.What day of the week was 18 February 2002?
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Answer: D — Monday
Using odd days (or Zeller’s rule), 18 February 2002 falls on a Monday.
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Q5.Ravi walks 11 m north, turns right and walks 4 m, then turns right again and walks 9 m. How far is he from the start?
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Answer: D — 4.47 m
Net: 2 m north and 4 m east. Distance = √(2² + 4²) = 4.47 m.
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Q6.If DOG is coded as FQI, how is PLAN coded?
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Answer: C — RNCP
Each letter moves 2 places forward in the alphabet (DOG → FQI), so PLAN → RNCP.
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Q7.Ravi walks 11 m north, turns right and walks 5 m, then turns right again and walks 7 m. How far is he from the start?
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Answer: A — 6.4 m
Net: 4 m north and 5 m east. Distance = √(4² + 5²) = 6.4 m.
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Q8.What day of the week was 1 May 2000?
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Answer: A — Monday
Using odd days (or Zeller’s rule), 1 May 2000 falls on a Monday.
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Q9.What day of the week was 2 June 1998?
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Answer: A — Tuesday
Using odd days (or Zeller’s rule), 2 June 1998 falls on a Tuesday.
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Q10.Find the next letter: J, L, N, P, ?
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Answer: D — R
The letters advance by 2 each time (skip 1).
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 11+ Exam
UK 11+ (Eleven Plus) Grammar School Entrance — conducted by Set by individual grammar schools and consortia. Selective school entrance taken in Year 6, typically covering maths, English, verbal and non-verbal reasoning.
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.
11+ Exam practice topics
| Topic | Section | Question source |
|---|---|---|
| Number System & Simplification | Quantitative aptitude | Calculated (new numbers every set) |
| Percentages | Quantitative aptitude | Calculated (new numbers every set) |
| Verbal Reasoning & Analogies | Reasoning | Calculated + question bank |
| Vocabulary & Idioms | English | Question bank |
| Logical Reasoning | Reasoning | Calculated (new numbers every set) |