If 5 cats catch 5 mice in 5 minutes, how long will it take one cat to catch a mouse?

How much will a 38° angle measure when looked at under a microscope that magnifies ten times?

What happened when the wheel was invented?

When does a USA Potato change its nationality?

There's one "sport" in which neither the spectators nor the participants know the score or the leader until the contest ends.

What is it?

What has many keys but can’t open a single lock?

Two men play a dice game involving roll of two standard dice. Man X says that a 12 will be rolled first. Man Y says that two consecutive 7s will be rolled first. The men keep rolling until one of them wins.

What is the probability that X will win ?

I am a five-letter word and people eat me. If you remove the first letter I become an energy form. If you remove the first two letters, I am needed to live. Scramble the last three letters and I am a drink. What word am I?

Replace the question mark with the correct number in below Picture:

A convention is held where all the big logicians are summoned. The master places a band on everyone's forehead. Now all of them can see others bands but can't see his own. Then they are told that there are different colours of bands. All the logicians sit in circle and they are further explained that a bell will ring at regular intervals. The moment when a logician knew the colour of band on his forehead, he will leave at the next bell. If anyone leaves at the wrong bell, he will be disqualified.

The master assures the logicians that the puzzle will not be impossible for anyone of them. How will the logicians manage ?