Can you solve below mathematical equation?

2^1234 - 2^1233

I have nine bottles of wine and one of the nine bottles is poisoned.
I need to find the poisoned bottle with two facts
(1) Poison is deadly, only a sip will cost death
(2) I have two mice to do so.

How should I do it?

If you go to the movies and you're paying, is it cheaper to take one friend to the movies twice, or two friends to the movies at the same time?

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

what does this below rebus represent identXQQQQQME

I am weightless, but you can see me. Put me in a bucket, and I'll make it lighter. What am I?

Can you count the number of quadrilaterals in the picture below?

A bridge is about to collapse. There are four people P, Q, R and S on one of the sides. Before the bridge collapses, they want to cross it. Now since the bridge is too weak, it can only stand the weight of two people at a time. Also, it is night time and nothing is visible. They have just one torch with them.

Now P takes one minute to cross the bridge, Q takes two minutes to cross, R takes five minutes to cross and S takes ten minutes to cross.

The bridge will collapse in seventeen minutes. How will they be able to cross the bridge before it collapses?

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

A man who was outside in the rain without an umbrella or hat didn’t get a single hair on his head wet. Why?