Puzzle: A Visit to the Casino!

There is a casino and it has 4 gates, let say A, B, C and D. 

Now the condition is that every time you enter casino you have to pay $5 and every time you leave the casino, you again have to pay $5. Also, whenever you enter the casino whatever amount you have with you will get double.

Now you enter the casino through gate A and come out through gate B, again you go inside casino from gate C and come out of gate D, at the end of this process you should be left with no money? 

So calculate how much money you should carry with you when you enter the Casino?

THIS should be the amount that you need to carry... 

Find Numbers For The Boxes

Find the correct number to fill in the boxes below.

These should be correct numbers!

Finding Correct Numbers For The Boxes

How boxes are placed?

Let's assume a, b, c and d are the correct numbers in the boxes.

So, 4 equations that we get are,

a + b = 8     .....(1)

c - d = 6     .....(2)

a + c = 13   .....(3)

b + d = 8    .....(4)

Subtracting (1) from (3) gives,

c - b =  5     .....(5)

Adding (2) to (4),

c + b = 14    .....(6)

Adding (5) and (6) gives,

2c = 19

c = 9.5

Putting c = 9.5 in (2),

9.5 - d = 6

Hence, d = 3.5

Putting d =3.5 in (4),

b + 3.5 = 8

b = 4.5

Putting b = 4.5 in (1),

a + 4.5 = 8

a = 3.5

So to conclude, a = 3.5, b = 4.5, c = 9.5 and d = 3.5.

Simple Logical Mathamatical Problem

There are 5 people who can build 5 houses in just 5 days.
 
How long would it take 100 people to build 100 houses?

100? Really? Check back or click here!

Answer Of Simple Logical Mathematical Problem

Want to read the question first? 

Did you answer 100?

"There are 5 people who can build 5 houses in just 5 days."

The above statement suggests that 1 man takes 5 days to build 1 house & not 1 man take 1 day to construct 1 house.

So 100 people will make 100 houses in only 5 days as each one completing the task in 5 days!

Search Number for '?'

Can you find the number for the '?' ?

Skip to the answer! 

In The Search of Number for '?'

Here is the question! 

First two equations clearly indicates it must be straightforward a + b equation.

Now if you observe closely all the equations, then you can find that the number never exceeds 8. So there are chances that all these number are in octal number system i.e. base 8 numbers.

Hence 11 in third equation is actually 8 in decimal. That's why 7 + 8 = 15 where decimal 15 is converted to octal 17. 

Verifying third equation as 15 + 16 = 31 in decimal is actually 17 + 20 = 37.

On the similar note, we have fourth equation in decimal as 31 + 32 = 63 which can be converted to octal as 37 + 40 = 77.

Hence the search for number in place of '?' ends with the number 77.

Profit Or Loss Or No-Profit No-Loss?

A man buys a horse for $60. He sells the horse for $70. He then buys the horse back for $80. And he sells the horse again for $90. How much profit did he make or did he loose in transaction? Or did he break even?

Confused? Find the right answer here!

And He Earned A Profit!

But what was the deal?

The confusion starts when he he buys same horse again. But if we look at it as two different transactions then it pretty straightforward.

At first he buys horse for $60 & sells it for $70. Here, he makes profit of $10. This is one transaction.

In next transaction, he buys same horse for $80 & sell the same for $90. Again, here he makes profit of $10.

In this way, the total profit he earns from these transactions is of $20.  

Count The Number of Kids

Fourteen of the kids in the class are girls. Eight of the kids wear blue shirts. Two of the kids are neither girls or wear a blue shirt. If five of the kids are girls who wear blue shirts, how many kids are in the class?

Find The Count Here!
 

Count of Number of Kids.

 Read the problem first!

 Let's recollect all the data given in the question.

1.Fourteen of the kids in the class are girls.

2. Eight of the kids wear blue shirts. 

3.Two of the kids are neither girls or wear a blue shirt.

4.Five of the kids are girls who wear blue shirts.

Now, (3) clearly suggests that there are 2 boys who are not wearing blue shirts. 

From (5) and (2), it's clear that 3 of 8 kids who are wearing blue shirts are boys as 5 of them are girls.

Above 2 conclusions indicates that there are total 5 boys in the class; 2 not wearing blue shirts and 3 wearing blue shirts.

But as per (1), there are 14 girls in a class. 

Hence, total 14 + 5 = 19 kids are there in a class.

Lighting Up The Candles

In a group of 200 people, everybody has a non burning candle. On person has a match at lights at some moment his candle. With this candle he walks to somebody else and lights a new candle. Then everybody with a burning candle will look for somebody without a burning candle, and if found they will light it. This will continue until all candles are lit. Suppose that from the moment a candle is lit it takes exactly 30 seconds to find a person with a non burning candle and light that candle.

From the moment the first candle is lit, how long does it take before all candles are lit?

ESCAPE to answer! 

Time Calculation For Lighting Up The Candles

What is the exact situation?

From a moment from first candle is lit, 30 seconds later there would be total 2 candles lit. In next 30 seconds, each of these 2 candle holders will find 1 candle to lit. So there are now 4 candles lit after 60 seconds. In next 30 seconds, these 4 candles would lit another 4 candles making total 8 candles lit. 

In short, for every 30 seconds, the number of candles lit are doubled. So after 7 sets of 30 seconds, 2^7 = 128 candles would be lit. At 8th set of 30 seconds, 256 candles can be lit. But we have only 200 candles. Still 72 of 128 candles would lit another 72 in 8th set of 30 seconds. 

To conclude, 8 X 30 = 240 seconds = 4 minutes required to lit all 200 candles. 

Crack 'This' Logic!

IF

1   1   1   1    =  R

2  2   2   2   =  T

3  3   3   3   = E
 
4  4   4   4   = N

Then

 5  5   5   5   =  ?

Skip To The Answer!

Cracked 'THAT' Logic!

Or look at the question first!


 Let's have a look at the given equations once again.

1   1   1   1    =  R
 
2  2   2   2   =  T

3  3   3   3   = E

4  4   4   4   = N

If rewritten after adding numbers & addition is spelled then,

1   1   1   1    =  FOUR
    
2  2   2   2   =  EIGHT

3  3   3   3   = THREE

 4  4   4   4   = SIXTEEN

 Clearly, last letter of spelling is taken.

Hence,


5  5  5  5 = TWENTY

5  5  5  5 = Y  

Special Squence Of Numbers

What is special about the following sequence of numbers?

8 5 4 9 1 7 6 10 3 2 0

This is how it's special!

Speciality of Special Sequence

Here is that sequence!

Looking at the special sequence once again.

8 5 4 9 1 7 6 10 3 2 0

If they are spelled as in sequence -

Eight   Five   Four   Nine   One   Seven   Six   Ten   Three   Two   Zero 

Yes, you got it right. They are in an alphabetical order.

A Fractional Pink Shade

What fraction of this figure is shaded with the pink color?

Get the answer here!


Author : Ed Southall of Solve My Maths

Area Of A Fractional Pink Shade

A look at the question first!

Let's first recall the formula for the calculation of area of a triangle.

Area of triangle =  1/2 x Base x Height

Let's assume the side of the square is 1.

Now the triangle with the pink shade & triangle opposite to it are similar triangles. Similar triangles are triangle whose sides are in proportion with each other.

Since here base of pink triangle is double of un shaded opposite triangle, the height of pink triangle must be double of that smaller triangle.

But together, heights of both triangles must be equal to side of the square i.e. 1.

And hence, height of smaller triangle must be 1/3 & that of pink 2/3. (h + 2h = 3 ; h = 1/3).

So,

Area of Pink Triangle = 1/2 x Base x Height = 1/2 x 1 x 2/3 = 1/3.

So the area of pink shaded part is 1/3rd of total area occupied by square.



 

Tricky Logical Mathematical Puzzle

Can you solve this?

 
Do you too think answer is 19 or 26 ? Here is the right one!