#101 - Calculate Sibling Family Riddle

In a family, there are many children. Every boy in the family has as many brothers as the sisters. However, each girl has twice number of brothers as that of sisters.

Can you calculate the number of siblings in the given family ?

Suppose that the number of boys be "b" and number of girls be "g".

Now, each boy has equal number of brothers and sisters:
(b - 1) = g
=> (b - g) = 1 ------ (1)

In addition, each girl has twice as many brothers as sisters:
2 (g-1) = b
=> (2g - b) = 2 ------- (2)

From (1) and (2)
g = 3 and b = 4

Therefore, there are 4 boys and 3 girls in the family.

#102 - Split Money Pizza Maths Puzzle

Rihana, Peeta, and Logan order a pizza for $10. Out of the three, Rihana and Peeta were quite hungry and ate 6 slices a piece, while Logan had just 2 slices.

Now, they want to split the cost among them fairly but due to the lack of change, they decide to round of the cost to the nearest possible dollar.

Can you find out the fair way which should be used to split the money?

What if the pizza was worth $11?

If we assume that Rihana and Peeta pay the same amount, they can decide with "rock, paper, scissor" to determine who will pay the extra dollar. Any other method may be used as well. Suppose that Rihana pays $1 extra.

In this manner, Rihana pays $5, Peeta pays $4 and Logan pays $2.

If the pizza would have cost $11, this method will then prove to be great because both Rihana and Peeta will pay $5 each and Logan will pay $1. This will keep the offset same as previous. Rihana is paying 6% more, Peeta is paying 15% more and Logan is paying 27% more.

#103 - Find Ages Riddle

Priyanka and Rubina are having a conversation.

Priyanka: I am definitely not over 30.
Rubina: I am 28 and you are surely 5 years older to me at least.
Priyanka: No, you are at least 29.

You are told that both of them are lying throughout in the conversation. Can you find their respective ages?

We know that both of them were lying in all their statements. Thus we can assume the opposite of what they said:

Priyanka: I am definitely over 30.
Rubina: I am not 28 and you are at most 4 years older to me.
Priyanka: You are at most 28.

Now we can conclude from the first statement that Priyanka is 31 years old at least. From the second and third statement, we can conclude that Rubina is at most 28 years old. Therefore, the possible ages of Priyanka and Rubina can be:

Priyanka: 31, 32, 33, 34, 35, 36...
Rubina: 22, 23, 24, 25, 26, 27...

If we look at the second statement again, we know the difference between their ages is a maximum of 4 years.
Therefore, Priyanka age is 31 years while Rubina age is 27.

#104 - What The Code Puzzle

A man desired to get into his work building, however he had forgotten his code.
However, he did recollect five pieces of information
* Fifth number + Third number = 14
* The fourth number is one more than the second number.
* The first number is one less than twice the second number.
* The second number and the third number equals 10.
* The sum of all five numbers is 30.

What is the code ?

74658

* 8 + 6 =14
* 5 = 4 + 1
* 7 = 2*4 - 1
* 4 + 6 = 10
* 7+4+6+5+8 = 30

#105 - Bottles Count Logic Maths Puzzle

A shopkeeper allows people to buy a bottle of cold drink in exchange of five empty bottled. A guy had a party at home and he managed to spend 77 cold drink bottles in the party. Now he has 77 empty bottles with him.

How many bottles do you think he can buy in exchange of those 77 empty bottles ?

He can purchase 19 new bottles in return.

He will get 15 bottles after returning 75 empty bottles and will be left 2 empty bottles.
Now, the 15 bottles when empty will get him 3 more bottles.
The three empty bottles will get him another bottle. Remember he had 2 empty bottles as well.

#106 - Who Is Taller Puzzle

500 women soldiers are arranged in an array of ten rows and fifty columns in accordance with their respective heights. Now, the tallest woman from each row is asked to move out in the front. From them, the shortest one is labelled as Alpha. They are then asked to resume their original position.

Now, the shortest woman in each column is asked to come out in front. The tallest among them is labelled as Beta.

Can you find out if Alpha will be taller or Beta?

Alpha and Beta are the same woman.

Let us begin by making the assumption that the numbers represent the height of the women.

Now, the tallest among 1, 2, 3, 4 etc. will be 50 or Alpha.
The shortest among 50, 100, ... , 500 will be 50 or Beta.

Therefore, they both are the same woman.

#107 - Chances Of Survival Probability Puzzle

You are trapped into a death trap by the famous jigsaw killer. As usual, a screen flashes in front of you and explains you the trap game.

There are 100 pearls kept in a bowl in front of you and an empty bowl. Among the 100 pearls, 50 are white and 50 are black. You can divide them as you like into the two bowls. Once you are done, you will pull a lever, which will turn the room pitch black. The bowls will move and shuffle around. In the dark, you have to pick up one pearl from any bowl. Once you do that, the room will flood with lights again. If the peral you have in your hand is white, you will be allowed to live, but if the pearl you picked is black, the room will be filled with poisonous gas and you will die.

How will divide the pearls to increase your chances of survival?

For best probability of living, you must place one white pearl in a bowl and all the rest into another bowl.

This gives you a 1/2 probability of choosing a bowl which has just a white pearl. If you choose that, you will live.
If you choose another, you will still have an almost 1/2 probability of picking up a white pearl. (49 white pearls and 50 black pearls).

#108 - The Great Chocoberry Problem

Rohan, a 7 year old boy, was really fond of the chocolates called "Chocoberries". He asked his Mrs. Mother to give him some money to buy his favorite chocolates. His Mrs. Mother gave him Rs 45. He went to the shopkeeper and asked, "how much is one chocoberry for?". The shopkeeper said, Rs 3 for one chocolate. Also, if you give me the wrappers of three chocoberries, I will give you one for for the exchange.
In total, how many chocoberries could Rohan eat?

22.

He can buy 15 chocolates at first from the 45 bucks that he has. Then further, he can exchange the 15 rappers to get 5 more. Then he can return 3 rappers of the 5 to get one more chocolate, and in the end use the wrapper from this one alongwith the 2 left with him to get one more. 15+5+1+1= 22.

#109 - Create Function Puzzle

There are two variables x and y. Jimmy is required to construct a function f(a,b) which returns the maximum one in {a,b}.
You can only use +,-,ยท, / & abs() (to take the absolute value). NO if () is allowed in to jimmy.

Solve this one, math freaks.

{a+b+abs(a-b)}/2
Also, {a+b-abs(a-b)}/2 is the smaller one in {a,b}

#110 - Number Of Races Puzzle

In order to complete the racing competition, the London racetrack has to submit its top and the most famous three horses to win the competition. Due to a electrical storm, all the records are cleared and no one knows which horse holds the record. They all look identical and it becomes even more difficult to differentiate the horses. There are 25 horses in the London racetrack. But there can be only five horses at a time on the track. What will the least number of races that can be conducted to find out the three fastest horses?

The numbers of races are 7.