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Q.

Which of the following pairs are twin primes?


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a

19, 21

b

29, 31

c

39, 41

d

49, 51 

answer is B.

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Detailed Solution

Concept- Twin primes are two prime numbers that differ by 2, and the sum of each prime pair is divisible by 12.
In option 1, 21 is not a prime number because it is also divisible by 7.
So, option 1 is incorrect.
In option 2, 29 and 31 differ by 2 and the sum of 29 and 31 that is; 60 is divisible by 12.
In option 3, 39 is not a prime number so this is incorrect.
In option 4, both 49 and 51 are not prime numbers so even if they differ by 2 they cannot be twin primes.
Hence, the correct answer is option 2) .
 
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