#231 - How Many Balls Problem

In the drawer beside your bed, you have three orange, two pink and five purple balls. There is no electricity and the room is completely dark. How many balls you must take out to make sure you have one ball of each color at least.

9

2 < 3 < 5
To find out the required number of balls, take one in place of the least number (i.e. take one pink ball) and then add all the greater numbers (i.e. three orange and five purple balls) to it.

Required number of balls = 1 + 3 + 5 = 9.

#232 - Cards Puzzle

A man has four playing cards in random order in his hand ( 6 7 8 and 9)

He desires them placed in ascending order from his left to his right.

* To do this, he pulls the left card (from your perspective) and puts it end.
* He then takes the third card from the right (from your perspective) and puts it in end.

Can you guess the original order of the cards ?

6 8 9 7 (user perspective)
7 9 8 6 (from his perspective)

Detail:

From user perspective:
6 8 9 7 => 8 9 7 6 => 9 8 7 6

For his perspective
6 7 8 9 (ascending order as desired)

#233 - Deduce Password Puzzle

In a secret society, a buried chamber can be accessed only via a secret password. The password is seven characters long and comprises of just letters and numbers.

You find a code that can help you in cracking the password. The code says "You force heaven to be empty".

Can you deduce the password from that?

The code can be decrypted to sound as "U four seven two B M T".
The code is U472BMT.

#234 - Romans Castle Brain Twister

Once upon a time, there was a castle on a square island. The entire island was surrounded with a 14m wide trench. The Romans had wanted to invade the castle and had brought a few wooden planks along with them to facilitate themselves in crossing the moat. The planks were however found to be only 13m long.

The Romans still managed to cross the trench. How did they do it?

They managed to cross the trench by placing the planks as it is shown in the picture.

#235 - Cross Bridge Logic Problem

A car is crossing a 20km long bridge. The bridge can support at most 1500kg of weight over it. If somehow, the weight on the bridge becomes more than that, it will break.

Now, the weight of the car is exactly 1500kg. At the midway, a bird comes and sits on the roof of the car. This bird weighs exactly 200 gram.
Can you tell if the bridge breaks at this point or not?

The bridge will not break.
This is because when the bridge reaches the mid-point, it would have traveled 10km. While traveling 10km, the car would have used more than 200 grams of fuel. Thus, the weight of bird will not add much to the existing weight.

#236 - 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.

#237 - Reach Top Riddle

An ape is trying to climb on a pole that is 60 feet high. Due to the slippery surface, the ape climbs 3 feet in a minute only to slip back 2 feet.

How much time do you think the monkey will take to reach the top of the pole?

Hint: The answer is not sixty minutes.

The ape will be able to reach the top in 58 minutes.

Since the ape slips back two feet after climbing 3 feet every minute, he will reach 57 feet in 57 minutes. Now the remaining distance is 3 feet and the ape will take 1 more minute to reach there. He wont slip back because he has already reached the top.

#238 - Accept The Bet Riddle

There is a box in which distinct numbered balls have been kept. You have to pick two balls randomly from the lot.

If someone is offering you a 2 to 1 odds that the numbers will be relatively prime, for example
If the balls you picked had the numbers 6 and 13, you lose $1.
If the balls you picked had the numbers 5 and 25, you win $2.

Will you accept that bet?

Yes, you should accept the bet. Simply because the odds of picking two relatively prime numbers are 60%. It is a win-win situation for you if you keep playing.

#239 - 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.

#240 - 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