PowerSchool Aptitude Test PowerSchool Aptitude Test: Puzzles 5 — Questions and Answers
Question 1: A number is divided by 5, and the result is increased by 5, then multiplied by 5 to give 50. What is the original number?
- 20
- 25
- 30 (Correct answer)
- 45
Correct answer: 30
Solve (n/5 + 5) × 5 = 50 → n/5 + 5 = 10 → n/5 = 5 → n = 25.
Question 2: Three friends divide a prize. If A gets twice as much as B and B gets twice as much as C, and the total is $700, how much does C receive?
- $75
- $100 (Correct answer)
- $150
- $200
Correct answer: $100
Let C = x; B = 2x; A = 4x; total = 7x = 700, so x = $100.
Question 3: If you rearrange the letters 'CIFAIPC' you get the name of a(n):
- Country
- Ocean (Correct answer)
- City
- Animal
Correct answer: Ocean
Rearranging CIFAIPC gives PACIFIC, which is an ocean.
Question 4: A palindrome reads the same forwards and backwards. How many 3-digit palindromes exist?
- 81
- 90 (Correct answer)
- 99
- 100
Correct answer: 90
A 3-digit palindrome has the form ABA: A can be 1–9 (9 choices) and B can be 0–9 (10 choices), giving 9 × 10 = 90.
Question 5: In a race, if you overtake the person in 3rd place, what place are you in?
- 1st
- 2nd
- 3rd (Correct answer)
- 4th
Correct answer: 3rd
Overtaking the person in 3rd place means you take their position, putting you in 3rd place.
Question 6: Find the missing number: 8, 27, 64, 125, ?
- 196
- 210
- 216 (Correct answer)
- 225
Correct answer: 216
The series is 2³, 3³, 4³, 5³, so the next term is 6³ = 216.
Question 7: A rectangle's length is 3 times its width. If the perimeter is 48 cm, what is the area?
- 54 cm²
- 96 cm²
- 108 cm² (Correct answer)
- 144 cm²
Correct answer: 108 cm²
Perimeter: 2(3w + w) = 48 → 8w = 48 → w = 6; length = 18; area = 6 × 18 = 108 cm².
PowerSchool Aptitude Test PowerSchool Aptitude Test: Puzzles 5
A number is divided by 5, and the result is increased by 5, then multiplied by 5 to give 50.
What is the original number?