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

Decode below rebus
D
N
A
T
S , D

Can you find a pattern and the missing number in the series given below?

100, 155, 258,? , 584, 819.

Solve the mathematical equation in the picture below.

How many people must be gathered together in a room, before you can be certain that there is a greater than 50/50 chance that at least two of them have the same birthday?

I always drive my customer away.

Who am I?

15 caves are arranged in a circle at the temple of doom. One of these caves has the treasure of gems and wealth. Each day the treasure keepers can move the treasure to an adjacent cave or can keep it in the same cave. Every day two treasure seekers visit the place and have enough time to enter any two caves of their choice.

How do the treasure seekers ensure that they find the treasure in the minimum number of possible days?

What Time Should the last watch show in the below figure?

I can turn polar bears white.
I can make anyone dance.
I can make everyone cry
I can make your hands clap
I can make you thin.
I can make you smile.
I can make you smile

Can you guess the riddle?

What is the next shape from answers A, B, C, and D figure?