By moving exactly three matchsticks can you make the below equation true.It can be solved by 3 ways.

Christina, Allison and Lena are 3 daughters of John a well-known Mathematician, When I asked John the age of their daughters. He replied "The current age of her daughters is prime. Also, the difference between their ages is also prime."

How old are the daughters?

I am an odd number. Take away a letter and I become even. What number am I?

A father's child, a mother's child, yet no one's son.

Who am I?

When monkey rotate the gear, which mark will be hit 1 or 2 ?

An express train takes 3 seconds to enter the tunnel which is 1 km long.
If it is travelling at 120 km an hour, how long will it take to pass completely through the tunnel?

I have branches, but no fruit, trunk or leaves. What am I?

You have to put a letter on the following to make it a meaningful word. The only challenge is that you can't use 'E'.

S E Q U E N C _

Can you solve below mathematical equation?

2^1234 - 2^1233

There was a blind man. He had four socks in his drawer either black or white. He opened it and took out two socks. Now the probability that it was a pair of white socks is 1/2.

Can you find out the probability that he had taken out a pair of black socks ?