I have branches, but no fruit, trunk or leaves. What am I?

There are hundred red gems and hundred blue gems. The blue gems are priceless while the red gems equal wastage. You have two sacks one labeled Heads and the other Tails. You have to distribute the gems as you want in the two sacks. Then a coin will be flipped and you will be asked to pick up a gem randomly from the corresponding sacks.

How will you distribute the gems between the sacks so that the odds of picking a Blue gem are maximum?

Can you find the next number in the below sequence
3 , 7 , 10 , 11 , 12 , 17 ?

What has many teeth, but cannot bite?

What will you call your mother's brother's brother-in-law?

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

I am a white box having no key or lid.
Yet there is a golden treasure inside it.

What Am I?

Using mathematical symbols like +, -, and x in order to make the equations correct. Replace # with the above-given symbols.

9 # 8 # 7 # 6 # 5 # 4 = 91

Jessica is telling her friends this story and asks them to guess if it’s the truth or a lie: “There was a man sitting in a house at night that had no lights on at all. There was no lamp, no candle, and no other source of light. Yet, he sat in the house and read his book happily.” Her friends say she’s lying, but Jessica corrects them and says she’s telling the truth. Jessica’s story is true—but how?

Buy me, smell me or deliver me, I do not change.

Who am I?