2, 3, 5, 9, 17, _ What is the next number in the sequence?

Rectify the following equality 101 - 102 = 1 by moving just one digit.

One of the leprechaun is missing if you see the two pictures attached to this question. Where did he go? When he comes back, do you know where has he been?

If you're 8 feet away from a door and with each move you advance half the distance to the door. How many moves will it take to reach the door?

Look at the below sequence of letters and tell us what the next letter should be:

O T T F F S S ?

What does this rebus photo means?

Consider this: Arnold Schwarzenegger has a big one. Michael J. Fox has a small one. Prince doesn’t have one. The Pope has one but never uses it. Bill Clinton has one and uses it all the time. What is it?

In particular commonwealth games, a female participant won silver and gold medals for a single event.

How can this be possible?

Solve the equation in the image by looking at the pattern closely.

A crime was committed at baker street. Ibrahim Dakota who was shot in the stomach was the main suspect. Sherlock questioned the suspect. The conversation started as:
Sherlock: What's your story, Ibrahim?
Ibrahim: I was walking around baker street and suddenly a man from the back shot me. I ran as fast as I could to save my life".
Sherlock: That is enough (and ask the police to arrest him).

Why does Sherlock think he is the murderer?