There are people and strange monkeys on this island, and you can not tell who is who (Edit: until you understand what they said - see below). They speak either only the truth or only lies.
Who are the following two guys?
A: B is a lying monkey. I am human.
B: A is telling the truth.

What does the rebus below mean?

TEN BADTION

You can win me and lose me but never buy me
You can not eat me and never want to part with me
I can make you cry or bring you joy
I am not a machine and definitely not a toy
You keep me but i am not forever just yours
You might find me in a case or on a shelf next to a vase
I am hard and i am tall if you bump me i am sure to fall
I am made of different materials and am at many events
If your lucky and fight hard I might be yours
What am I ?

You need to remove two matchsticks to make the below equation true. Can you do it ?

In a university, a professor gave a set of three problems to the three brilliant students of his class. See the image for the questions.

How can a man go eight days without sleep?

Teacher ask the student

'Why are you standing on that chair in music class ?'.

what did student replied ?

Can you find the dog hidden in a group of pandas?

Railroad Crossing, look out for the cars. Can you spell that, without any R's ?

I welcome the day with a show of light, I stealthily came here in the night. I bathe the earthy stuff at dawn, But by noon, alas! I'm gone.