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Q.

State whether the following is true or false.

(18,25) is a pair of co-primes.

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a

True

b

False 

answer is A.

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Detailed Solution

Given,
Two numbers 18 and 25.
We have to show if 18 and 25 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 18 is given as,
Question ImageThus, 18=2×3×3  
Prime factorization of 25 is given as,
Question ImageThus, 25=5×5  
Common factor of 18 and 25 = 1
Since, both the numbers have no other common factor except 1.
Hence, 18 and 25 are co-prime numbers.
Therefore, the statement is true.
Thus, the correct option is 1.
 
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