How can a man go eight days without sleep?

Peter wakes up daily to pick up his cycle and crosses the border between Spain and France daily with a bag on his shoulder. He is investigated daily by the officials but they don't find anything suspicious.

If we tell you that he is smuggling something what would it be?

The current time can be represented by below textual rebus.

0
=========
B.Sc
LLB

Can you tell us the current time?

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

Can you make numbers like 24, using numbers 3,3,7 & 7 with any arithmetic operator?

What has six faces, but does not wear makeup, has twenty-one eyes, but cannot see? What is it?

John was working on a Chemical Mixture whose weight comprise 90% liquid and 10% solid. The total weight of the mixture is 20 pounds. After a while, John noticed that some of the liquid evaporated and now the liquid comprises just 50% of the weight.

What is the weight of the chemical mixture now?

Baseball bat and ball cost $100. If the bat cost $99 more than the ball, what is the cost of each?

A four-digit number (not beginning with 0) can be represented by ABCD. There is one number such that ABCD=A^B*C^D, where A^B means A raised to the B power. Can you find it?

Decode below rebus
D
N
A
T
S , D