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How many games to determine a champion?

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There are 97 baseball team participating in a tournament. The champion is chosen by the usual elimination scheme. That is, all teams are divided into pairs, and two teams of each pair play against each other. The loser of each pair is eliminated, and the remaining teams are paired up again.
How many games must be played to determine a champion?
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River crossing: she-goat, wolf and cabbage

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A farmer is returning from market, where he bought a she-goat, a wolf and cabbage. On the way home he must cross a river. His boat is little, allowing him to take only one of the three things. He can’t keep the she-goat and the cabbage together (because the she-goat would eat it), nor the she-goat with the wolf (because the she-goat would be eaten). How shall the farmer get everything on the other side (without any harm)?

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Deadly choice puzzle

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Once a man was caught for a minor offense and was presented in king Akbar’s darbaar
Akbar wanted to test the man and said: “You must give me a statement. If it is true, you will be killed by lions. If it is false, you will be killed by trampling of wild buffalo.”

Man was not able to answer and in the end requested help from Birbal, As it was minor offense Birbal decided to help and suggested him the statement.

After hearing the statement, king Akbar had to let the man go.

Can you think of the statement that Birbal suggested?
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0.999… = 1 #55

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0.9999999…….. = 1, true or false?

0.999.... = 1, Right or Wrong?

0.999…. = 1, Right or Wrong?


See Answer
Its Right, yes 0.999 followed by infinite 9’s is equal to 1.

Proof 1 for 0.999… = 1

x = 0.999...
10x = 9.999...
10x - x = 9.999... - 0.999...
9x = 9
x = 1

Proof 2 for 0.999… = 1

1/3 = 0.333...
3x(1/3) = 3x(0.333...) = 0.999...
1 = 0.999...

Who is the thief puzzle reloaded

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horse donkey and camel were stolen, 3 suspects, find who stole what ?

horse donkey and camel were stolen, 3 suspects, find who stole what ?

If you have not tried its simpler version, try that first click here for Who is the thief puzzle part 1
A horse, a donkey and a camel were stolen.
Three suspects: Robert, Scott and Tommy. All we know that each person stole one animal, but we do not know who stole which. Here are the investigation statements.

Robert: Tommy stole the horse.
Scott: Tommy stole the donkey.
Tommy: They both were lying. I did not steal the horse or the donkey.

Later on, police found out =>

The man who stole the camel told a lie.
The man who stole the horse told the truth.

Can you find out who stole which?
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Get number 28 # 53

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How you can get number 28 by using following numbers and operators

Numbers: 1, 5, 7 and 8.
Operators: +, -, * and /
You can use ( ) brackets as well.

Rules:-

  1. You can use each number only once.
  2. You can not use 1 and 5 as 15.
  3. You have to use all of the above number mentioned (1,5,7 and 8)


See Answer

There are multiple solutions
Solution 1: (8-5+1)*7 = 28
Solution 2: 7*5 – 8 + 1 = 28

Prisoner and two doors puzzle

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prisoner two doors with lady and tiger

prisoner two doors with lady and tiger

A prisoner is faced with a decision where he must open one of two doors. Behind each door is either a lady or a tiger. They may be both tigers, both ladies or one of each.

If the prisoner opens a door to find a lady he will marry her and if he opens a door to find a tiger he will be eaten alive. Of course, the prisoner would prefer to be married than eaten alive :).

Each of the doors has a statement written on it. The statement on door one says, “In this room there is a lady, and in the other room there is a tiger.”

The statement on door two says, “In one of these rooms there is a lady, and in one of these rooms there is a tiger.”

The prisoner is informed that one of the statements is true and one is false.

Which door should the Prisoner open?
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