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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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