Aptitude Discussion

Q. |
Two prime numbers $A, B(A < B)$ are called twin primes if they differ by 2 (e.g. 11,13,or 41,43....). If A and B are twin primes with $B > 23$, then which of the following numbers would always divide $A+B$? |

✔ A. |
12 |

✖ B. |
8 |

✖ C. |
24 |

✖ D. |
None of these |

**Solution:**

Option(**A**) is correct

Any prime number greater than 3 will be in the form of $6x+1$ or $6x-1$.

Thus, both prime number are twins:

Let first be $6x-1$

and 2nd be $6x+1$

$\text{Sum} = 12x$

Thus it is always divisible by **12**.

**Krish**

*()
*

prime numbers near to 23 are 29 and 31 and both differ by 2

so,29+31=60 which is divisible by 12