I come in different shapes and sizes.
Parts of me are curved, other parts are straight.
You can put me anywhere you like,
but there is only one right place for me.
What am I?

All of you like to eat me. I am a five-lettered word. Remove the first two and I turn into an infamous animal. Remove just the first and I become a heinous crime. Remove the first and the last and you can groove on me.

Can you guess who am I?

Can you find the least possible number such that

If the number is divided by 3, it gives the remainder of 1;
If the number is divided by 4, it gives the remainder of 2;
If the number is divided by 5, it gives the remainder of 3;
If the number is divided by 6, it gives the remainder of 4.

What has many keys but can’t open a single lock?

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

Today, I celebrated my 32nd birthday but I was born in 1972.
How is this possible?

I am white when I am dirty, and black when I am clean. What am I?

Can you find the missing letter in the sequence?
S - T - I - L - ? - T - F - Y - C

Can you solve the below algebraic mathematical equation?

(J+O+I+N+T)3 = JOINT

You have 10 balls with you. A friend of yours out of nowhere asks you to place those ten balls in five lines such that each of the lines has exactly 4 balls on them. He needs to check your intelligence. Prove him by doing the task.