How many times do a clock's hands overlap in a day ?

What breaks yet never falls, and what falls yet never breaks?

Find the 8 in the below-given Image.

It's a 7-letter word.
If we remove 1 letter from it, it remains the same.
If we remove 2 letters from it, it remains the same.
If we remove 3 letters from it, it remains the same.
If we remove all the letters from it, still it remains the same.
What is it?

You have 1023 apples and 10 bags. You have to distribute these apples in these 10 bags in any way you choose. But when I ask for a certain number of apples you have to give them in terms of bags without transferring the apples from other bags. How do you distribute the apples?

You are given 16 witch hats. The hats are divided in four different colours – red, blue, green and yellow. Every colour has been assigned to four hats. Now each of the hat will be glued with a label of an arithmetic sign – ‘+’, ‘-‘, ‘x’ or ‘/’. But you can label one sign only once on one colour. In such an arrangement, the hats can be uniquely defined by its colour and symbol.

Can you arrange all the 16 hats in a 4x4 grid in a fashion that no two rows and columns have a repetition of colour or sign?
We have arranged four hats in the below picture to assist you.

Get total of 120 by using five zeros 0,0,0,0,0 and any one mathematical operator.
Do you ?

What will be the best approach to finding all the prime numbers less than 75 that leave an odd reminder when we divide them with 5?

who is silent in the parliament?

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