What's the only room from which no one can enter or leave

A 3 digit number is such that it's unit digit is equal to the product of the other two digits which are prime. Also, the difference between it's reverse and itself is 396.

What is the sum of the three digits?

Out of the nine cats that you can see in the picture, there are only two that are completely identical. Can you find them out?

Prove that twice of ten is the same as twice of eleven.

Begin with a word, five letters to my name,
Remove the first and last but I am the same
Take out my middle and still, I remain.
What word am I?

Which statement is true out of the following?
One statement here is false.
Two statements here are false.
Three statements here are false.

I always drive my customer away.

Who am I?

The square root of number 121 is "11". What is the square root of the number "12345678987654321."?

Three fair coins are tossed in the air and they land with heads up. Can you calculate the chances that when they are tossed again, two coins will again land with heads up?

You have to fill the below given grid in a manner that every row and column contains the digits 1 to 6. Also, make sure that the squares that are connected with each other must contains the same digit.