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CTET Divisibility Rule — practice questions — page 2

Explore 58 free Divisibility Rule questions in CTET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Divisibility Rule questions and exercises with answers

Showing questions 31–58 of 58.

Twin primes are pairs of primes that differ by how much?Read the answer and worked solution →The sieve of Eratosthenes is an old method for doing what?Read the answer and worked solution →Why would the sieve of Eratosthenes fail if 1 were counted as prime?Read the answer and worked solution →Why would 1 as a prime give many factorizations of a number?Read the answer and worked solution →Euclid's work around 300 BC proved which idea about primes?Read the answer and worked solution →What is the parity of zero?Read the answer and worked solution →Which set holds only even numbers?Read the answer and worked solution →What is true of the parity of any two consecutive integers?Read the answer and worked solution →Which form describes every odd number, where k is an integer?Read the answer and worked solution →What do you get when you add an odd number and an odd number?Read the answer and worked solution →What type of number do you get from adding an even number to an odd number?Read the answer and worked solution →When two odd numbers are multiplied, the product is what?Read the answer and worked solution →What type of number is the product of an even and an odd number?Read the answer and worked solution →In binary, when is a whole number odd?Read the answer and worked solution →Which of these numbers can be called even or odd?Read the answer and worked solution →How did the ancient Greeks view the number 1, which they called the monad?Read the answer and worked solution →Which description fits a perfect number?Read the answer and worked solution →Which numbers are the proper divisors of 6?Read the answer and worked solution →Proper divisors 1, 2, 4, 7 and 14 add to a perfect number. Which?Read the answer and worked solution →Which number fails to equal the sum of its proper divisors?Read the answer and worked solution →The sum of the proper divisors of a number is known by which name?Read the answer and worked solution →The greatest common divisor of two numbers is the greatest positive integer that does what?Read the answer and worked solution →Two numbers are coprime when their greatest common divisor equals what?Read the answer and worked solution →Which of these pairs of numbers is coprime?Read the answer and worked solution →Find gcd(17, 0), the greatest common divisor.Read the answer and worked solution →Using the highest prime powers, what is the lcm of 48 and 180?Read the answer and worked solution →What is the highest number that divides both 48 and 180?Read the answer and worked solution →The common divisors of two numbers are exactly the divisors of what?Read the answer and worked solution →

Worked practice questions

Twin primes are pairs of primes that differ by how much?

  1. Two
  2. One
  3. Three
  4. Four
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Correct answer: A. Two

1. The twin prime conjecture is about pairs of primes. 2. Such pairs differ by two, like 11 and 13. 3. A difference of one is impossible except for 2 and 3, and difference 3 or 4 does not define twins. _Source: Wikipedia, Prime number, lead section_

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The sieve of Eratosthenes is an old method for doing what?

  1. Listing prime numbers
  2. Adding large numbers
  3. Finding perfect squares
  4. Dividing fractions
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Correct answer: A. Listing prime numbers

1. The sieve of Eratosthenes crosses out multiples number by number. 2. What is left is a list of primes. 3. It is the oldest known method for generating such lists. _Source: Wikipedia, Prime number, section Sieves_

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Why would the sieve of Eratosthenes fail if 1 were counted as prime?

  1. It would remove all the other numbers
  2. It would remove only even numbers
  3. It would keep every number in the list
  4. It would remove only odd numbers
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Correct answer: A. It would remove all the other numbers

1. The sieve removes all multiples of each prime it finds. 2. Every number is a multiple of 1, so all other numbers would be crossed out. 3. Only 1 would remain, which is why 1 is not treated as prime. _Source: Wikipedia, Prime number, section Primality of one_

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