- No data uploaded
- Instant results
NSW Selective Test Logical Reasoning Questions
Practise logical reasoning (reasoning) for the NSW Selective High School Placement Test: 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
-
Q1.What is the angle between the hour and minute hands of a clock at 4:30?
Show answer & explanation
Answer: A — 45°
Angle = |30H − 5.5M| = |30×4 − 5.5×30| = 45°.
-
Q2.What day of the week was 28 September 1998?
Show answer & explanation
Answer: A — Monday
Using odd days (or Zeller’s rule), 28 September 1998 falls on a Monday.
-
Q3.Ravi walks 5 m north, turns right and walks 3 m, then turns right again and walks 1 m. How far is he from the start?
Show answer & explanation
Answer: C — 5 m
Net: 4 m north and 3 m east. Distance = √(4² + 3²) = 5 m.
-
Q4.What is the angle between the hour and minute hands of a clock at 12:20?
Show answer & explanation
Answer: A — 110°
Angle = |30H − 5.5M| = |30×12 − 5.5×20| = 250°; the smaller angle is 360 − that = 110°.
-
Q5.What is the angle between the hour and minute hands of a clock at 2:40?
Show answer & explanation
Answer: B — 160°
Angle = |30H − 5.5M| = |30×2 − 5.5×40| = 160°.
-
Q6.If PLAN is coded as QMBO, how is CODE coded?
Show answer & explanation
Answer: B — DPEF
Each letter moves 1 place forward in the alphabet (PLAN → QMBO), so CODE → DPEF.
-
Q7.Which number is the odd one out: 11, 41, 47, 69?
Show answer & explanation
Answer: C — 69
47, 41, 11 are prime; 69 is composite (69 = 3 × 23).
-
Q8.What is the angle between the hour and minute hands of a clock at 9:50?
Show answer & explanation
Answer: A — 5°
Angle = |30H − 5.5M| = |30×9 − 5.5×50| = 5°.
-
Q9.Find the next letter: G, K, O, S, ?
Show answer & explanation
Answer: D — W
The letters advance by 4 each time (skip 3).
-
Q10.Ravi walks 12 m north, turns right and walks 3 m, then turns right again and walks 10 m. How far is he from the start?
Show answer & explanation
Answer: C — 3.61 m
Net: 2 m north and 3 m east. Distance = √(2² + 3²) = 3.61 m.
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 NSW Selective Test
NSW Selective High School Placement Test — conducted by NSW Department of Education. Placement test for selective high schools in New South Wales: reading, maths, thinking skills and writing.
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.
NSW Selective Test practice topics
| Topic | Section | Question source |
|---|---|---|
| Percentages | Quantitative aptitude | Calculated (new numbers every set) |
| Number System & Simplification | Quantitative aptitude | Calculated (new numbers every set) |
| Logical Reasoning | Reasoning | Calculated (new numbers every set) |
| Vocabulary & Idioms | English | Question bank |