PuzzlersWorld.com

All Puzzles Solved Unsolved

Beer Bottle Burger Math Equation Puzzle

by 4 Comments

Can you tell what will be the sum of the fourth row ?
i.e. Sum of Burger + Beer Bottle * Beer Mug ?
beer_bottle_burger_math_puzzle
obviously you have to apply some mathematics here, question is how fast you can solve it.


Check your answer:-

Tried enough already?
See Answer and Solution
Answer: 15

Solution:
If you see there are 3 variables and 3 equations, we can solve the equations and get the variables values and than we can find the value of fourth equation.

From the first equation we can say that Beer Bottle = 10
than from the second Burger = (20 – 10)/2 = 5
and from the third equation Beer Mug = (9 – 5)/4 = 1

Thus Burger + Beer Mug * Beer Bottle = 5 + 1*10 = 15

here as per BODMAS 5 + 1*10 will be 5  + 10 and not  6*10

4 mansions in a line puzzle

by 2 Comments

In a village there are 4 mansions located at a different Distance from each other.

following are the distances:

3rd mansion is 60km apart from the 1st mansion.

4th mansion is 40km apart from the 2nd mansion.

3rd mansion is 10km nearer to the 4th mansion than it is to the 2nd mansion.

Can u find out the distance b/w the 4th and 1st mansion ?

Check your answer:-

Tried enough already?
Click here to See Solution

Lets draw the diagram first

4-mansions-puzzle

From above diagram we can write this equation

x+10 + x = 40 => 2x = 30 => x = 15

thus distance between 1st and 4th mansion is 60 + x = 75 km

Coconut + Apple + Banana = ?

by 1 Comment

Solve this fruit math puzzle

fruit math puzzle with apple, banana and coconut

If Apple + Apple + Apple = 30

Apple + Bananas + Bananas = 18

banana + coconuts = 2

Then coconut + apple + bananans = ?

Check your answer:-

Tried enough already?
Click here to See Solution
3A = 30 => A = 10
A + 4B + 4B = 18
8B = 8 => B = 1

4B – 2C = 2
2C = 2 => C = 1

C + A + 3B = 1 + 10 + 3 = 14

permutations n Combinations

by Leave a Comment

There are 10 parking spaces numbered from 101 to 110. At least one car is parked in these slots. If cars can be parked only at the consecutively numbered parking slots, how many such arrangements can be made. Consider that only one car can be parked in one parking slot and all cars are identical.

Check your answer:-

Tried enough already?
Click here to See Solution
Case 1: 1 car in 10 slots: just pick any 1 slot: i.e. 10C1 = 10!/1!9! = 10, see combination formula here
Case 2: now lets say if 2 cars need to be parked in 10 slots, as the cars need to be parked in consecutive slots only, its similar to choosing 1 position out of 9 slots, i.e. 9C1 = 9

if you go on like this, number of ways of parking 10 cars in 10 slots = 1

thus total possible arrangements = 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 +1 = 10*11/2 = 55

A trip to the beach – Children Cards and their name Puzzle

by 10 Comments

A mother has twelve children, each born in a different month. They want to go to the beach. She says she’ll take them if they can win a game. She puts the name of each child on a card and tells them she will place the cards face-down in a row on a table in the next room.

She’ll randomly call one child in. The child can turn over cards one at a time, up to half the cards, looking for his or her own name.

If that child finds his or her own name, he or she will be sent outside to play, and won’t be able to communicate with the children still waiting to take a turn. The mother will turn all the cards back face-down, keeping them in the same order, and will randomly call in another child and repeat the process. In order for the children to win the game and go to the beach, all the children must be successful in finding their own names. If any child fails, the game is over, and there will be no trip to the beach! The children can consult each other before their mother starts the game, but those who have already taken a turn cannot contact the others or leave any clues for them.

The children talk among themselves and devise a strategy that all the children will be able to follow perfectly. The game begins, and the first child is called into the room where the game is taking place. A few minutes later, he comes back into the room with the other children, grinning widely. “Pack your swimsuits and your towels!” he says. “We’re going to the beach!”

The child is correct, and knows for certain that the inevitable outcome of the game is that the children will win. How many cards did he turn over before he found his name?

puzzle by Harvey Lerman

Which number is greater ?

by 1 Comment

which number is greater
which number is greater ?
99^999 + 1 99^1000 +1
———— OR ———–
99^1000 + 1 99^1001 + 1

Check your answer:-

Tried enough already?
Click here to See Solution
Lets do A – B, ie.

99^999 + 1 99^1000 +1
A – B = ———— – ———–
99^1000 + 1 99^1001 + 1

=> (99^1001 + 1)*(99^999 +1) – (99^1000 + 1 )*(99^1000 +1)
——————————————————–
(99^1000 + 1 ) * (99^1001 + 1)

Now here we just need to see if the value of the numerator is +v or -ve

lets expand the numerator
99^2000 + 99^1001 + 99^999 + 1 – (99^2000 + 99^1000 + 99^1000 + 1)

=> 99^1001 + 99^999 – 2*99^1000
=> 99^999 ( 99^2 + 1 – 2*99)
clearly it is +ve as 99^2 is much greater than 2*99

thus A is greater than B.

Which number should replace ? mark

by 2 Comments

Let’s see your math quotient

can you tell which number should replace the question mark ?
which number should replace ? mark


Check your answer:-

Tried enough already?
Click here to See Solution
The Answer is 144.
1. (5-5)*2=0 and 0*0=0
2. (11-8)*2=6 and 6*6=36
3. (7-3)*2=8 and 8*8=64 and so
4. (8-2)*2=12 and 12*12=144

soln by Rajaram C Sah

What happened to the missing ten dollars?

by 2 Comments

Three tourists sought lodging in a small American hotel. The Receptionist
Offered them a three-room suite for $300. The three men went upstairs
With the Hotel Attendant to have a look at the suite. Everything seemed fine, and
Each tourist gave $100 to the Hotel Attendant. When the Receptionist received the
$300 from the Hotel Attendant, he discovered that he had made a mistake: the
Price of the suite was only $250. Therefore, he sent the Hotel Attendant back
With five $10 bills. On his way upstairs, the Hotel Attendant realized it would
Be a problem to distribute the five $10 bills among three people. So he
Slipped two of the $10 bills into his own pocket, and gave back $10 to
Each of the three men. Thus, they had each paid $90, which adds up
to $270. Twenty dollars ended up in the Hotel Attendant’s pocket. Altogether,
That makes $270 + $20 = $290, even though the three guests had originally
Paid $300.
What happened to the missing ten dollars?

Click here to See Answer
Actually we are comparing apples to oranges

it should have been
$270 (which they gave) + $30 (which they have) = $300(original money)

OR if you think other way

$250(with hotel) + $20(with waiter) + $30(with tourists) = $300(original money)

Social

privacy policy