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Composite Numbers

Co-primes are...

Question

Co-primes are always prime numbers.

A

False

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B

True

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Solution

The correct option is A False

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Similar questions

Q. What are co-primes? Give examples of five of co-primes. Are co-primes always prime? If no, illustrate your answer by an examples.

The alternate numbers are always co-prime numbers.

Q. Which of the following pairs are always co-primes?

(i) two prime numbers
(ii) one prime and one composite number
(iii) two composite numbers

Q. Which of the following statements are true?
(i) 1 is the smallest prime number.
(ii) If a number is prime, it must be odd.
(iii) The sum of two prime numbers is always a prime number.
(iv) If two numbers are co-primes, at least one of them must be a prime number.

State true (T) of false (F):

$(i)$ The sum of primes cannot be a prime.

$(i i)$ The product of primes cannot be a prime.

$(i i i)$ An even number is composite.

$(i v)$ Two consecutive numbers cannot be both primes.

$(v)$ Odd numbers cannot be composite.

$(v i)$ Odd numbers cannot be written as sum of primes.

$(v i i)$ A number and its successor are always co-primes.

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