Below the four parts have been reorganised. The four partitions are exactly the same in both arrangements. Why is there a hole?

The product of three consecutive numbers is 7980.
Then the sum of these consecutive numbers would be?

Through your logical capabilities, can you make 7 an even?

When you say goodbye, I am what you need to tie.
I come as a couple and go wherever you run.
Who am I?

Find the hidden tiger in the given optical illusion ?

Can you find out the missing number in the grid?

One day, I thought of ways that can be used for creating a palindrome. So I decided that I will turn into a larger number by adding the reversed digits to the original number and keep doing it till I finally obtained a palindrome.

I am not sure if this process will always result in a palindrome eventually but I was able to produce a four-digit palindrome. Can you guess my starting number?

A father is locked up in jail. His wife has gone bankrupt. Their male child has to sell his hotel in order to gain some money. Yet their girl child does not care and is quite happy.

How can someone be so rude?

The dirtier I get, the whiter I look. Who am I?

We have arranged an array of numbers below. What you have to do is use any kind of mathematical symbol you know excluding any symbol that contains a number like cube root. You can use any amount of symbols but you have to come up with a valid equation for all of them.

0 0 0 = 6
1 1 1 = 6
2 + 2 + 2 = 6
3 3 3 = 6
4 4 4 = 6
5 5 5 = 6
6 6 6 = 6
7 7 7 = 6
8 8 8 = 6
9 9 9 = 6