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Q.

Write all twin prime numbers from 51 to 100.

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a

(59,61) and (71,73)

b

(58,61) and (73,53).

c

(69,61) and (21,73).

d

(55,61) and (71,75).

answer is A.

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Detailed Solution

Twin primes are those 2 prime numbers where in between of these 2 numbers there is only on composite number is present.
Also, when the difference of 2 prime numbers is equal to 2, then these prime numbers are known as twin primes.
Now, prime numbers from 51 to 100 are,
53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
Here, only the sets of (59,61) and (71,73) give the difference of prime number 2.
Hence, (59,61) and (71,73) are the twin primes which are between 51 and 100.
Option 1 is correct.

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