MathematicsWrite two pairs of twin primes between 20 and 50.

Write two pairs of twin primes between 20 and 50.


  1. A
    16 and 29, 19 and 29
  2. B
    29 and 31, 41 and 43
  3. C
    11 and 21, 61 and 71
  4. D
    15 and 17, 37 and 39 

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    Solution:

    Concept: A twin prime is a prime number that, depending on which of the twin prime pairs it belongs to, is either 2 less or 2 more than another prime number. To put it another way, a twin prime is a prime with a two-prime gap. Twin primes are those prime numbers which differ by 2.
    A prime number is either 2 less or 2 more than another prime number.
    As said, twin primes differ by 2.
    Option 1 and 3 cannot be the answer, because they do not differ by 2.
    Option 4 cannot be the answer because 15 and 39 are not prime numbers.
    In option 2, Sum of each prime pair is divisible by 12.
    60 and 84 are divisible by 12.
    Hence, the correct answer is option (2).
     
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