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From the set of prime numbers between 50 and 100, how many pairs of prime are there that add up to a prime number?
Question

From the set of prime numbers between 50 and 100, how many pairs of prime are there that add up to a prime number?

A.

2

B.

0

C.

3

D.

1

Correct option is B

Given:
​The set of prime numbers between 50 and 100 is:
{53, 59, 61, 67, 71, 73, 79, 83, 89, 97}
Concept Used:
A pair of primes adds up to a prime number if their sum satisfies the definition of a prime (divisible only by 1 and itself). Each pair from the given set is checked for this condition. 
Solution:
There are 0 prime number that add upto a prime number
Prime numbers between 50 and 100 are : 53,59,61,67,71,73,79,83,89,97.
So, if we add any two of these numbers, then we get 0,2,4,6 or 8 as unit digit. So, that number will be divisible by 2, which means that number is not a prime number . 
Therefore, option(b) is correct.

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