OC Logical Thinking and Problem Solving 2 — Questions and Answers
Question 1: A shop has a 'buy 2 get 1 free' offer. If items cost $9 each and you want 6 items, how much do you pay?
- $27
- $36 (Correct answer)
- $45
- $54
Correct answer: $36
With buy 2 get 1 free, you pay for 4 out of 6 items: 4 × $9 = $36.
Question 2: Sam thinks of a number, doubles it, adds 10, and gets 30. What was the original number?
- 8
- 10 (Correct answer)
- 12
- 15
Correct answer: 10
Work backwards: 30 − 10 = 20, then 20 ÷ 2 = 10.
Question 3: If the code for CAT is 3-1-20 (C=3, A=1, T=20), what is the code for DOG?
- 4-15-7 (Correct answer)
- 4-14-6
- 3-14-7
- 5-15-7
Correct answer: 4-15-7
D=4, O=15, G=7, so the code is 4-15-7.
Question 4: A 10-litre tank is one-quarter full. How many litres are needed to fill it?
- 5
- 7
- 7.5 (Correct answer)
- 8
Correct answer: 7.5
One-quarter of 10 = 2.5 litres already in the tank; 10 − 2.5 = 7.5 litres needed.
Question 5: Alex, Ben, and Carla each have a different pet: a cat, a dog, and a fish. Alex does not have the cat. Ben does not have the dog. Carla has the fish. Who has the cat?
- Alex
- Ben (Correct answer)
- Carla
- Cannot be determined
Correct answer: Ben
Carla has the fish; Alex cannot have the cat, so Alex has the dog and Ben has the cat.
Question 6: How many rectangles (including squares) are in a 2×3 grid of squares?
- 12
- 15
- 16
- 18 (Correct answer)
Correct answer: 18
Count all possible combinations of rows and columns: C(3,2)×C(4,2) = 3×6 = 18 rectangles.
OC Logical Thinking and Problem Solving 2
A shop has a 'buy 2 get 1 free' offer.
If items cost $9 each and you want 6 items, how much do you pay?