PowerSchool Aptitude Test PowerSchool Aptitude Test: Puzzles 2

Question 1

A clock shows 3:15. What is the angle between the hour and minute hands?

Accepted Answer

7.5°

Answer

At 3:15, the minute hand is at 90° and the hour hand is at 97.5° (3×30 + 15×0.5), giving a difference of 7.5°.

Question 2

In a group of 50 students, 30 play basketball, 25 play soccer, and 10 play both. How many play neither sport?

Accepted Answer

5

Answer

Using inclusion-exclusion: 30 + 25 − 10 = 45 play at least one sport, so 50 − 45 = 5 play neither.

Question 3

What comes next in the series: 2, 6, 12, 20, 30, ?

Accepted Answer

42

Answer

The differences are 4, 6, 8, 10, 12 — each difference increases by 2 — so the next term is 30 + 12 = 42.

Question 4

If all Bloops are Razzies, and all Razzies are Lazzies, which statement must be true?

Accepted Answer

All Bloops are Lazzies

Answer

By transitivity: since Bloops ⊆ Razzies and Razzies ⊆ Lazzies, all Bloops must be Lazzies.

Question 5

A box contains 4 red, 5 blue, and 6 green balls. What is the minimum number of balls to draw (without looking) to guarantee at least 2 of the same color?

Accepted Answer

4

Answer

With 3 colors, you could draw one of each (3 balls) and still have none matching, so you need 4 draws to guarantee a pair.

PowerSchool Aptitude Test Practice Test

PowerSchool Aptitude Test Practice Test

PowerSchool Aptitude Test PowerSchool Aptitude Test: Puzzles 2