OC Logical Thinking and Problem Solving 3

Question 1

Which statement about all squares is true?

Accepted Answer

All squares are rectangles

Answer

A square has all the properties of a rectangle (four right angles, opposite sides equal), so all squares are rectangles.

Question 2

In a class, 18 students like soccer, 14 like basketball, and 8 like both. How many students like at least one sport?

Accepted Answer

24

Answer

Using inclusion-exclusion: 18 + 14 − 8 = 24 students like at least one sport.

Question 3

A car park has 3 levels with 40 spaces on each level. On Monday morning, ¾ of spaces are taken. How many spaces are free?

Accepted Answer

30

Answer

Total spaces = 120; ¾ × 120 = 90 taken; 120 − 90 = 30 free spaces.

Question 4

If today is Wednesday, what day will it be in 100 days?

Accepted Answer

Friday

Answer

100 ÷ 7 = 14 remainder 2, so add 2 days to Wednesday: Thursday, Friday.

Question 5

A fence is built around a square garden with a perimeter of 48 m. What is the area of the garden?

Accepted Answer

144 m²

Answer

Each side = 48 ÷ 4 = 12 m; area = 12 × 12 = 144 m².

OC - Opportunity Class Test Practice Test