OC Logical Thinking and Problem Solving 1 — Questions and Answers
Question 1: If all Blips are Blaps, and all Blaps are Blops, which statement must be true?
- All Blops are Blips
- All Blips are Blops (Correct answer)
- No Blips are Blops
- Some Blops are Blips
Correct answer: All Blips are Blops
Since Blips→Blaps and Blaps→Blops, by transitivity all Blips must also be Blops.
Question 2: A clock shows 3:45. What angle do the minute and hour hands make?
- 142.5°
- 157.5° (Correct answer)
- 172.5°
- 187.5°
Correct answer: 157.5°
At 3:45 the minute hand is at 270° and the hour hand is at 3×30 + 45×0.5 = 112.5°; difference = 270 − 112.5 = 157.5°.
Question 3: If you fold a square piece of paper in half twice and cut a small triangle from the folded corner, how many triangles appear when unfolded?
- 1
- 2
- 3
- 4 (Correct answer)
Correct answer: 4
Folding twice creates 4 layers, so one cut through all layers produces 4 triangles when unfolded.
Question 4: Anna is taller than Ben. Ben is taller than Clara. Who is the shortest?
- Anna
- Ben
- Clara (Correct answer)
- Cannot be determined
Correct answer: Clara
Anna > Ben > Clara, so Clara is the shortest.
Question 5: Five students sat in a row. Mia sat between Tom and Zoe. Tom sat at one end. Where did Zoe sit?
- At the other end
- Next to Mia (Correct answer)
- Third from the left
- Cannot be determined
Correct answer: Next to Mia
Since Tom is at one end and Mia is between Tom and Zoe, Zoe must be next to Mia (in the 3rd position).
Question 6: Which shape has exactly 5 faces, 9 edges, and 6 vertices?
- Cube
- Triangular prism (Correct answer)
- Square pyramid
- Cylinder
Correct answer: Triangular prism
A triangular prism has 5 faces, 9 edges, and 6 vertices.
If all Blips are Blaps, and all Blaps are Blops, which statement must be true?