#121 - 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?

View Answer Discuss

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.

#122 - The Imported Chocolate

Rohit went to buy some expensive, foreign chocolates. He only had Rs 100 with him. When he reached the shop, he got to know that on those chocolates, there was a 15% import duty and 5% VAT.

How much worth chocolate should he buy so that he can accommodate it in Rs 100 ?

View Answer Discuss

83.33

#123 - How Many Chicken Maths Problem

A farmer sold a few chickens to four different customers on a particular day. It was such that each customer purchased half of the remaining chickens and a half chicken more.

Can you find out how many chicken were sold by the farmer on that day if we tell you that the fourth customer bought a single chicken ?

View Answer Discuss

A total of 15 chickens were sold by the farmer.

We know that the fourth customer bought just one from the total chickens. Thus, we can form the equation:
Total - (Total / 2 + 1/2) = 1
If you solve it, you will find that the total is 3.

Now, we can keep working this method till we reach the first customer.

The 1st customer bought 15 / 2 + 1/2 = 8 (leaving 7)
The 2nd customer bought 7 / 2 + 1/2 = 4 (leaving 3)
The 3rd customer bought 3 / 2 + 1/2 = 2 (leaving 1)
The 4th customer bought 1 / 2 + 1/2 = 1

When we add the numbers, we get
8 + 4 + 2 + 1 = 15.

#124 - Algebra Cipher Puzzle

If "P" means "-", "Q" means "/", "R" means "+", and "S" means "*" then find the value of the following:

21 Q 7 R 9 S 10 P 13

View Answer Discuss

80

21 Q 7 R 9 S 10 P 13
= 21 / 7 + 9 * 10 - 13
= 3 + 90 - 13
= 80

#125 - Maths Sets Puzzles

In a school, 280 students studied chemistry, 254 students studied physics and 280 students studied biology.

97 students studied chemistry as well as physics, 138 students studied physics as well as biology and 152 students studied chemistry as well as biology.

73 students studied all the three branches.

Can you find out the total number of students?

View Answer Discuss

There are a total of 500 students.To make you understand clearly, we are posting a venn diagram for the same.

#126 - 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?

View Answer Discuss

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).

#127 - Probability Interview Gun Puzzle

You are stuck with a gangster who likes to play it rough. The only way to survive is to accept his invitation to play Russian Roulette.

He presents a revolver in which, three bullets have been placed consecutively. Now he spins the chamber cylinder of the gun. The cylinder wont be spun again. The gun will be passed between both of you till the gun fires and one of you is dead.

Will you prefer to go first or second if you are given a choice ?

View Answer Discuss

2/3

Let us label the chambers for our convenience as C1, C2... C6.

Now, when the cylinder is spun, there can be the following six outcomes.
1. If C1 is fired first: Player 1 dies.
2. If C2 is fired first: Player 1 dies.
3. If C3 is fired first: Player 1 dies.
4. If C4 is fired first: Player 2 dies (First shot, player 1, C4 empty. Second shot player 2, C5, empty. Third shot player 1, C6 empty. Fourth shot player 2, C1 not empty.)
5. C5 is fired first: Player 1 dies (First shot, player 1, C5 empty. Second shot player 2, C6, empty. Third shot player 1, C1 not empty.)
6. C6 is fired first: Player 2 dies (First shot, player 1, C6 empty. Second shot, player 2, C1, not empty)

Therefore, if you choose to go second, you have a 4/6 or 2/3 chance of winning.

#128 - 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?

View Answer Discuss

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.

#129 - House Distance Puzzle

In a town, there are four houses located at different distances from each other. Following are the distances:
The third house is 60 km apart from the first house.
The fourth house is 40 km apart from the second house.
The third house is 10 km nearer to the fourth house than it is to the second house.

Can you find out the distance between the fourth and the first house ?

View Answer Discuss

75km

Distance between second and fourth house = 40 km

Distance between the second and third house + Distance between the third and fourth house = 40 km.

Distance between the second and third house + (Distance between the second and third house - 10) = 40 km.

Therefore,
2 * Distance between the second and third house = 50 km
=> Distance between the second and third house = 25 km

Hence, distance between the third and fourth house = 15 km

Distance between the first and fourth village = 60 + 15 = 75 km

#130 - 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 ?

View Answer Discuss

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.