What begins with T, ends with T, and has T in it?

When my father was 31 I was 8. Now he is twice as old as me. How old am I?

Different lights make me strange by changing me into different sizes. What am I?

There are are five things wrong with this sentence; only geniuses will be able to to spot all of the mitstakes

Irene killed hundreds of people mercilessly and yet the police were not able to put her behind the bars. Why?

There is a square of a particular number which when doubled, becomes 7 more than its quarter.

Can you find the number?

Solve the puzzle by telling what does below picture means.

Three ants are sitting at the three corners of an equilateral triangle. Each ant starts randomly picks a direction and starts to move along the edge of the triangle. What is the probability that none of the ants collide?

In the addition below, all digits have been replaced by letters. Equal letters represent equal digits and different letters represent different digits.
ABCABA
BBDCAA
ABEABB
ABDBAA
------- +
AAFGBDH
What does the complete addition look like in digits?

Find The Next Number in this series.
1, 2, 6, 42, 1806 ?