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 complete the sequence?

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

You find yourself in a strange place guarded by two guards.One of the guard always say truth while other always lies.You don't know the identity of the two.You can ask only one question to go out from there. What should you ask?

What numbers should go on the bottom line?
3 6 9 15
8 2 10 12
11 8 19 27
19 10 29 39
? ? ? ?

Solve the equation by replacing the alphabet with numbers.

MOM + MOM + NO = BOOK=

Solve the following series:
AZ, GT, MN, __, YB

Replace the question mark with the number below given a simple math problem.

Why did Buffon take the goal with him after every Juventus match?

As shown in the image, the nine Dogs are square fenced. By constructing just two square fences can you make sure that two Dogs cannot meet each other without crossing the fence?

Can you place three balls such that the equation shown in the picture holds true?