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Number theory

Quiz by Anitha Cruz PSGRKCW

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14 questions
Show answers
  • Q1
    What is the largest prime number less than 50?
    47
    51
    49
    43
    30s
  • Q2
    What is the prime factorization of 24?
    3^2 * 2
    2 * 4
    2^3 * 3
    2^2 * 6
    30s
  • Q3
    What is the value of the Euler's Totient function phi(12)?
    8
    10
    6
    4
    30s
  • Q4
    What is the GCD (Greatest Common Divisor) of 18 and 24?
    3
    12
    9
    6
    30s
  • Q5
    What is the result of 15 modulo 6?
    2
    3
    9
    6
    30s
  • Q6
    What is a perfect number?
    A perfect number is a number that is divisible by 2 and 3.
    A perfect number is a number with more than two factors.
    A perfect number is a positive integer that is equal to the sum of its proper divisors.
    A perfect number is a number that is only divisible by 1.
    30s
  • Q7
    Which of the following pairs of numbers are relatively prime?
    12 and 18
    10 and 20
    15 and 28
    25 and 35
    30s
  • Q8
    What is a pseudoprime?
    A prime number that behaves like a composite number.
    A number that is divisible by every other number.
    A composite number that behaves like a prime number.
    A number that is neither prime nor composite.
    30s
  • Q9
    Which of the following is an example of a pseudoprime?
    341
    213
    151
    409
    30s
  • Q10
    What is a strong pseudoprime?
    A composite number that passes more primality tests than a regular pseudoprime.
    A number that is divisible by every other number.
    A composite number that is not divisible by any other number.
    A prime number that behaves like a composite number.
    30s
  • Q11
    What is a Euler pseudoprime?
    A prime number that satisfies the Euler's criterion.
    A number that cannot be divided evenly by any other number.
    A composite number that satisfies the Euler's criterion for primality.
    A number that is divisible by every other number.
    30s
  • Q12
    Which primality test can be fooled by some pseudoprimes?
    Fermat primality test
    Lucas-Lehmer test
    Sieve of Eratosthenes
    Miller-Rabin test
    30s
  • Q13
    Which of the following is a characteristic of a pseudoprime?
    It is always a prime number.
    It is divisible by every other number.
    It is not a composite number.
    It passes certain primality tests like a prime number.
    30s
  • Q14
    What is the difference between a pseudoprime and a composite number?
    A pseudoprime is a number that fails a primality test, while a composite number is any number that is not prime.
    A pseudoprime is a prime number that fails a primality test, while a composite number is any number that passes a primality test.
    A pseudoprime is a prime number that passes a primality test, while a composite number is any number that is not prime.
    A pseudoprime is a specific type of composite number that passes a primality test, while a composite number is any number that is not prime.
    30s

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