What is the fewest number of coins that would be required in order to make sure each and every coin touches exactly three other coins?

Can you solve below mathematical equation?

2^1234 - 2^1233

What does the below mathematical rebus mean?

You may enter, but you may not come in. I have space, but no room. I have keys, but open no lock. What am I?

You visit a home for specially-abled children on the occasion of Christmas where you meet with 50 children. You have a box of chocolates containing 50 chocolates exactly.

What if you were asked to one chocolate to each child in a manner that one chocolate still remains in the box? Is it possible?

Prove that the below maths equation is true.

8 + 8 = 91

What's a single-digit number with no value?

Rearrange the letters in "new door" to make one word.

Chocolate costs 6 rupees and a Toy costs 5 rupees. If you have 32 rupees in total, how many chocolates and how many Toys can be purchased with that amount?

Two boys were admitted to a school. When the headmaster asks them about their parents, they tell him that they have same parents (father and mother). On further inquiry, it turns out that they both share the same date for their birthday.

"Are you twins," ask the headmaster.
"No," replies the boys.

Is it possible?