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?

John went to a parrot shop in Mexico, and the parrot owner told him that his parrot is so unique that he repeats everything he hears. John got excited and immediately bought the parrot. John went home and spoke many words, but the parrot does not repeat anything.
He went again to the parrot shop and complaint to the shopkeeper, but the shopkeeper never lied. Explain?

Until it is measured, not known. Yet how you miss it when it has gone. What is it?

There are 20 people in an empty, square room. Each person has full sight of the entire room and everyone in it without turning his head or body, or moving in any way (other than the eyes). Where can you place an apple so that all but one person can see it?

What will be the best approach to finding all the prime numbers less than 75 that leave an odd reminder when we divide them with 5?

There's one "sport" in which neither the spectators nor the participants know the score or the leader until the contest ends.

What is it?

Below the four parts have been reorganised. The four partitions are exactly the same in both arrangements. Why is there a hole?

You have to fill the below given grid in a manner that every row and column contains the digits 1 to 6. Also, make sure that the squares that are connected with each other must contains the same digit.

We know that the number 7 is the prime followed by a cube. Which next number is also a prime followed by a cube?

Can you find the dog hidden in a group of pandas?