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Q.

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

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a

True

b

False

answer is B.

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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

Question Image

Thus,

31 = 1 × 31

Prime factorization of 93 is given as,
Question Image

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.

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