PowerSchool Aptitude Test PowerSchool Aptitude Test: Puzzles 3 — Questions and Answers
Question 1: Five people — A, B, C, D, E — sit in a row. A is to the left of B, C is between A and B, and D is to the right of B. What is the correct order?
- A C B D E
- E A C B D (Correct answer)
- A C B E D
- C A B D E
Correct answer: E A C B D
A is left of B with C between them (A-C-B), D is right of B, and E must be leftmost: E A C B D.
Question 2: If MOUSE is coded as PRUQH, what is the code for CHAIR?
- FKDLU (Correct answer)
- EJCKV
- FKDLT
- EKDLU
Correct answer: FKDLU
Each letter is shifted forward by 3 positions (M→P, O→R, U→X, S→V, E→H), so C→F, H→K, A→D, I→L, R→U = FKDLU.
Question 3: How many triangles are in a figure formed by drawing both diagonals inside a rectangle?
- 2
- 4 (Correct answer)
- 6
- 8
Correct answer: 4
The two diagonals of a rectangle intersect at the center, dividing the rectangle into exactly 4 triangles.
Question 4: A farmer has 17 sheep, and all but 9 die. How many sheep remain?
- 8
- 9 (Correct answer)
- 17
- 0
Correct answer: 9
'All but 9 die' means 9 sheep survive, regardless of how many die.
Question 5: What is the next number in the series: 1, 1, 2, 3, 5, 8, 13, ?
- 18
- 20
- 21 (Correct answer)
- 24
Correct answer: 21
This is the Fibonacci sequence where each term equals the sum of the two preceding terms: 8 + 13 = 21.
Question 6: A is twice as old as B. Five years ago, A was three times as old as B. How old is B now?
- 8
- 10 (Correct answer)
- 12
- 15
Correct answer: 10
Let B = x; then A = 2x. Five years ago: 2x − 5 = 3(x − 5) → 2x − 5 = 3x − 15 → x = 10.
Question 7: Which number is the odd one out: 4, 9, 16, 25, 35, 49?
- 9
- 16
- 25
- 35 (Correct answer)
Correct answer: 35
All numbers are perfect squares (2², 3², 4², 5², 7²) except 35, which is not a perfect square.
PowerSchool Aptitude Test PowerSchool Aptitude Test: Puzzles 3
Five people — A, B, C, D, E — sit in a row.
A is to the left of B, C is between A and B, and D is to the right of B.
What is the correct order?