Ten Problems

You have 101 coins, 50 of which are and the rest are . coin weights 1g more than coin. You have a balance to calculate the difference of two sides in gram. If you have to choose one coin from this 101 coins, how can you know whether it’s or ? How do you do this using the balance the least number of times?

You have 6 matchsticks of equal length. How do you make 4 triangles without crossing any matchstick (so that the ends form corners exactly)?

Add puctuations to the following sentence to make it grammatically correct.

Billy while Bob had had had had had had had had had had had a better effect on the teacher.

There are 7 people and 1 animal, Allen and his sons John and Chan, Percy and his sons Thomas and Donald, a hunter and a wolf on one side of the river. There is a boat which can carry 2 people at any time. Only Allen, Percy and the hunter can row the boat. How do they all cross the river without being killed if
1. The wolf will eat everyone if the hunter is not there.
2. Allen will eat Thomas and Donald if Percy is not there.
3. Percy will eat John and Chan if Allen is not there.

Have you heard of the Four Squares Theorem? It states that every non-negative integer can be expressed as the sum of four squares.

Complete the following equality:

SQUARE + SQUARE + SQUARE + SQUARE = NUMBER

Replace the following letters with digits to satisfy the equation.

SPAM+SPAM+SPAM+SPAM+SPAM+SPAM=EMAIL

There is a hat with three pancakes in it: One is golden on both sides, one is brown on both sides, and the third is golden on one side and brown on the other. You take out one pancake, look at only one side, and observer that it is brown. What is the probability that the other side is also brown?

What expression is represented here?

Justice without the ice, in (past, present and future)

If Chuck Norris could roundhouse kick 13514 men in 2 minutes, 231513514 women in 2 minutes, and 38912418514 children in 2 minutes, how many dogs could he roundhouse kick in 10 minutes?

Fill in the blanks, such that the blanks marked (1) are the same word, and the blanks marked (2) are also the same word.

Tom has something wrong with his brain. After medical examination, the doctor told him:

“Your brain has two parts: one is (1), and the other is (2). Your (1) brain has nothing (2), Your (2) brain has nothing (1).

I cry when I’m sad
I make loud noises when I’m mad
I send light to the sky
So tell me, what am I?

I’m a ten-letter word, but when I am heard,
It is a surprise, but I’m half that size.

My first sound is found when half isn’t around.
When a pair is amiss, the other is called this.

The second has one where normally two form a pair.
You will get the nod if you look in a pod.

Together, my fifth and third hold music that is heard.
A pair you are seeking, alphabetically speaking.

And the fourth sound, it will be found
If you look where I send, in the middle of end.

What word am I?

The last three digits of Allison’s license plate have a product of 360. The sum of the digits is 22 and the digits are in order from the least to greatest. What are the three digits of her license plate?

In a game of Swaff, players have 1 turn to roll 2 dice, to achieve a total number that is a multiple of 3. If the combined number is NOT a multiple of three, the player is out. If it is, he/she goes on to the next round. If no players get a multiple of 3, in any round, the game is over in a tie.

Example: John rolls a 2 and a 4. Total score is 6 - a multiple of 3. John would then move on to the next round.

Lets say that John, Sally, Suzan, and Jimmy were playing a game of Swaff. What is the probability that the game ends the first round as a tie?