Is the statement valid that it does not matter how much older a sibling is, eventually the younger one will be half as old as the older one?

I am the one who remains awake when you sleep. But I need to rest when you awake. Who Am I?

A professor thinks of two consecutive numbers between 1 and 10.
'A' knows the 1st number and 'B' knows the second number

A: I do not know your number.
B: Nor do I know your number.
A: Now I know.

What are the four solutions for this?

I have a five and a three-gallon jar. Assuming there is an infinite supply of water, how can I measure one-gallon water?

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?

Two in a corner, one in a room, zero in a house, but one in a shelter. What am I?

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

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

The first two letters signify a male, the first three letters signify a female, the first four letters signify a great, while the entire world signifies a great woman. What is the word?

Can you replace the question mark with the correct letter?

6 + 6 + 6 = N
7 + 7 + 7 = E
8 + 8 + 8 = R
0 + 0 + 0 = ?

On rolling two dices (six-sided normal dice) together, what is the probability that the first one comes up with a 2 and the second one comes up with a 5?