What number should come in place of the question mark below?

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?

Which digit occurred maximum times between the number 1 and 1000?

Can you find the next number in the below sequence
3 , 7 , 10 , 11 , 12 , 17 ?

A girl was sitting in her hotel room when she heard a knock on the door. She opened the door and found that a man was standing outside.
The man said, "Oh! I am really sorry, I thought this was my room."
He then walked through the corridor to the elevator. The girl did not know the man. She closed her door and called security asking them to apprehend the man.
What made her suspicious of that man? He might have been genuinely mistaken.

Whats the next number in the below number sequence pattern.

Can you find out what is missing?

1 3 5
2 4 ?

Hint: It's not six. Think out of the box.

You walk into a room that contains a match, a kerosene lamp, a candle and a fireplace. What would you light first?

Four people need to cross a rickety bridge at night. Unfortunately, they have only one torch and the bridge is too dangerous to cross without one. The bridge is only strong enough to support two people at a time. Not all people take the same time to cross the bridge. Times for each person: 1 min, 2 mins, 7 mins and 10 mins. What is the shortest time needed for all four of them to cross the bridge?

How many cubic feet of dirt are in a hole of one foot deep, three feet long, and two feet wide?