Can you solve below mathematical equation?

2^1234 - 2^1233

Can you place three balls such that the equation shown in the picture holds true?

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

Can you count the number of triangles in the given picture?

There are are five things wrong with this sentence; only geniuses will be able to to spot all of the mitstakes

Can you find the thief by just looking at the picture below?

A worker is to perform work for you for seven straight days. In return for his work, you will pay him 1/7th of a bar of gold per day. The worker requires a daily payment of 1/7th of the bar of gold. What and where are the fewest number of cuts to the bar of gold that will allow you to pay him 1/7th each day?

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

Some friends went on a vacation to a resort. It was raining heavily and it kept raining for thirteen days.

When it rained in the morning, the afternoon was beautiful and when it rained in the afternoon, the day was blessed with a clear morning.

Overall, the friends experienced eleven nice mornings and twelve nice afternoons. Can you find out the number of days they spent on vacation?

Two in a corner, one in a room, zero in a house, but one in a shelter. What am I?