#301 - How Many Cartons Puzzle

Riya can place six large boxes or nine small boxes into a carton.

Can you find out in how many cartons can she place sixty-six boxes in total ?

The total number of cartons required = 9.

5 cartons for large boxes = 5 * 6 = 30
4 cartons for small boxes = 4 * 9 = 36

30 + 36 = 66.

#302 - Which Coins Puzzle

Aman is having 1.15 rupees in his pocket. There are a total of 6 coins in his pocket.

When his friend asked him for a change, he was unable to given change for a rupee and five paisa.


Can you tell which coins did he have?

Aman had a 50p, a 25p and four 10p coins.

#303 - 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 ?

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

#304 - 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 ?

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.

#305 - 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?

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

#306 - 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

80

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

#307 - 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 ?

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.

#308 - 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 ?

83.33

#309 - Dice Probability Riddle

Two men play a dice game involving roll of two standard dice. Man X says that a 12 will be rolled first. Man Y says that two consecutive 7s will be rolled first. The men keep rolling until one of them wins.

What is the probability that X will win ?

36/71

#310 - Driving Car Time Puzzle

Two friends hit the accelerator of their respective cars at the same time. Both of them have the same amount of petrol in their respective cars at the time they start. One can drive for 4 hours and the other can drive for 5 hours.
After driving for a while, they analyse that the amount of petrol left in one of their cars is 4 times that of the petrol left in other car.

Can you calculate how long they have been driving their respective cars ?

3.75

This question can be solved mathematically.
Let us assume that the initial amount of petrol is p.
The time for which they drove be t.
Now, the amount of petrol used by one car in t hours will be = pt / 4
The amount of petrol used by the second car in t hours will be = pt / 5
Now, the petrol left in the first car will be = (p - pt / 4)
The petrol left in the second car will be = (p - pt / 5)
According to the question
P - pt / 5 = 4(p - pt / 4)
T = 15 / 4 or 3.75 hours.
Therefore, both of the friends have driven the car for 3.75 hours.