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World of Numbers: Advanced Mathematical Concepts
Difficulty Level: Hard
10 Questions
1 Plays
SSHANNON MARIA SIJO
Popular Questions InWorld of Numbers: Advanced Mathematical Concepts
1
What is the cardinality of the set of all real numbers (R)?
2
Which of the following statements about prime numbers is a famous unproven conjecture?
3
Consider the equation x² = -1. In which number system does this equation have a solution?
4
Which of the following describes a transcendental number?
5
Which number set is closed under addition, subtraction, and multiplication, but not necessarily under division?
6
What is the decimal equivalent of the hexadecimal number 1A?
7
Consider Euler's totient function φ(n), which counts the positive integers up to a given integer n that are relatively prime to n. What is φ(10)?
8
A perfect number is a positive integer that is equal to the sum of its proper positive divisors (divisors excluding the number itself). Which of the following is the smallest perfect number?
9
A Diophantine equation is a polynomial equation for which only integer solutions are sought. Which of the following is a classic example that famously has no non-trivial integer solutions for n > 2?
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