State whether the following is true or false.
(31,93) is a pair of co-primes.

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

True

False

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given,
Two numbers 31 and 93.
We have to show if 31 and 93 are pair of co-primes.
We know that, two numbers called co-primes if they have only 1 as a common factor.
Prime factorization of 31 is given as,
Question Image

Thus,

31 = 1 × 31

Prime factorization of 93 is given as,
Question Image

Thus,

93 = 3 × 31

Common factor of 31 and 93 = 31
Since, both the numbers have 31 as a common factor.
Therefore, the statement is False.
The corrected statement is 31 and 93 are not co-prime numbers.
Hence, the correct option 2 is correct.

Watch 3-min video & get full concept clarity