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

Can you find the number?

If you drop me I’m sure to crack, but give me a smile and I’ll always smile back. What am I?

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 ?

What does this Rebus Picture mean?

What has to be broken before you can use it?

Do you know of a place where the wind blows south and then suddenly shifts direction towards the north?

Count the squares in the matchstick puzzle below?

Can you find out what is missing?

1 3 5
2 4 ?

Hint: It's not six. Think out of the box.

In a guessing game, five friends had to guess the exact numbers of apples in a covered basket.
Friends guessed 22, 24, 29, 33, and 38, but none of the guesses was correct. The guesses were off by 1, 8, 6, 3, and 8 (in random order).

Can you determine the number of apples in a basket from this information?

Spelt forwards I’m what you do every day, spelled backwards I’m something you hate. What am I?