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?

Which number should replace the question mark?

A dying old man wants to divide his entire land between his only two sons. Since his only wish is to treat them as equal as both of them have been too good to him, he wants to divide his land equally between them. The problem is that the land is significantly irregular in shape and thus there is no choice of cutting them into two equal halves.

Can you help him divide the land in a manner that both of his sons will be happy?

Given that

(78)^9 = 6
And (69)^4 = 11

Can you find out

(99)^2 =?

(Note: This is Logical, not Mathematical)

If six children and two dogs were under an umbrella, how come none of them got wet?

In a concert, Christina is performing a dance show with her group.
At 10:00, she and her crew were dancing in an absolutely straight line. At that time Christina was standing in 4th position from both the front and back end of the row.

What was the size of her crew?

I don't get anymore wetter, no matter how much rain falls on me.

Prove that twice of ten is the same as twice of eleven.

Two in a corner, one in a room, zero in a house, but one in a shelter. What is it?

Can you complete the sequence?

192, 021, 222, 324, 252, 627, 2__, 9__?