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Q.

State whether the given statement is true or false.


‘If two numbers are co-prime, at least one of them must be a prime number.’


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a

True

b

False  

answer is B.

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Detailed Solution

Two numbers are known as co-prime numbers when their highest common factor is 1.
Numbers that are divisible by 1 and the number itself are prime numbers.
Taking an example,
4 and 9, both are co-prime numbers and none of them is a prime number.
Therefore, our statement is false.
If two numbers are co-prime, it is not important that at least one of them must be a prime number.
Hence, option 2 is correct.
 
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