Advanced Numerical Puzzles to Test Your Reasoning
A set of five rigorous brain‑teasing problems that combine algebraic insight with logical deduction.
Quiz Questions
Answer all questions below and test your knowledge.
- 1
Find the smallest positive integer n such that n‑1 is both a perfect square and a perfect cube.
- 2
A rectangular garden has perimeter 54 meters. The length exceeds the width by 6 meters. What is the area in square meters?
- 3
Consider the sequence defined by a1=2 and a_{n+1}=a_n^2−2. What is the value of a4?
- 4
A three‑digit integer is divisible by 7, leaves remainder 3 when divided by 8, and remainder 4 when divided by 9. Which of the following could be the number?
- 5
In a round‑robin tournament of 6 players with no draws, each win awards 2 points. The total points earned are 30. How many games did the champion win?
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