PTA Logic Puzzles 3 — Questions and Answers
Question 1: What comes next in the sequence: 2, 4, 8, 16, ___?
- 24
- 28
- 32 (Correct answer)
- 36
Correct answer: 32
Each term is double the previous one, so 16 × 2 = 32.
Question 2: Which letter continues the series? B, D, F, H, ___
- I
- J (Correct answer)
- K
- L
Correct answer: J
Each letter skips one position in the alphabet (even-position letters), so H is followed by J.
Question 3: Find the next number: 1, 1, 2, 3, 5, 8, ___
- 11
- 12
- 13 (Correct answer)
- 15
Correct answer: 13
This is the Fibonacci sequence; each term equals the sum of the two preceding terms: 5 + 8 = 13.
Question 4: What is the next number in the sequence: 100, 90, 81, 73, 66, ___?
- 60 (Correct answer)
- 59
- 63
- 58
Correct answer: 60
The differences decrease by 1 each step (10, 9, 8, 7, 6), so 66 − 6 = 60.
Question 5: A clinic rotates its cleaning schedule in a 4-task cycle: Floors, Windows, Restrooms, Equipment, then repeats. If Day 1 is Floors, what is cleaned on Day 11?
- Floors
- Windows
- Restrooms (Correct answer)
- Equipment
Correct answer: Restrooms
Day 11 falls at position ((11−1) mod 4) + 1 = 3, which is Restrooms.
Question 6: Complete the analogy: 4 is to 16 as 5 is to ___
- 20
- 25 (Correct answer)
- 30
- 10
Correct answer: 25
The relationship is squaring: 4² = 16 and 5² = 25.
Question 7: The pattern of shapes repeats: Triangle, Square, Circle, Triangle, Square, Circle, Triangle, Square, ___. What comes next?
- Triangle
- Square
- Circle (Correct answer)
- Diamond
Correct answer: Circle
The 3-shape cycle repeats; position 9 is the same as position 3, which is Circle.
PTA Logic Puzzles 3
What comes next in the sequence: 2, 4, 8, 16, ___?