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Where is the missing $1 ?

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Three friends went to a hotel. The bill was Rs $75, Each one of them contributed $25. The waiter took the bill to the cashier. For some reason cashier was happy & decided to give them a discount of $5 and asked the waiter to return them $5.

Now the waiter was confused. How to distribute $5 among 3 persons?

He kept $2 in his pocket and gave $1 to each one of the 3 persons. So initially each one had contributed $25. Now as they are Given $1 back, their contribution reduces to $24. They all contributed $24. i.e. 24×3=72 and 2 dollors are in the waiter’s pocket.The total becomes $74. But they had paid $75.
Where is the remaining $1?


See Answers
Actually this question is framed to confuse you.
Total given by customers = 3*24 = 72 = 70(with cashier) + 2 (with waiter).
in other words $75 earlier given by customer are distributed as
70(with cashier) + 2(with waiter) + 3(one dollar with each customer).

Make 100 by using five numbers

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These numbers make 200 by summing them all:

2 + 6+ 10+ 14 + 18 + 22 + 26+ 30+ 34 + 38 = 200

Can you take any 5 numbers out of these which adds up to 100?


See Answers

Actually it looks like there should be some way of making 100 by using 5 numbers, but there isn’t. Or may be we are missing something, so if you know any such combination, please share with all of us.

Number Puzzle #57

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IF 3+5+6=151872 5+5+6=253094 5+6+7=303585 5+5+3=251573 then 9+4+7= ??????

IF 3+5+6=151872
5+5+6=253094
5+6+7=303585
5+5+3=251573
then
9+4+7= ??????


Check your answer:-

Tried enough already?
See Solution

In this kind of questions we have to find some pattern to get to the answer, we can see that getting first two digit and second two digits are easy, most difficult part in this question is to get last two digits.

First two digit = <first_number> * <second_number>

Similarly Second two digits = <first_number> * <third_number>

Now the most tricky part is to get last two digits, if you observe claverly

Last two digits = <first_two_digits> + <second_two_digits> – <third_number> and reverse them.

Thus the answer to this number puzzle is 366329.

Extra one dollar riddle

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I have $50 with me, here is the summary of my spent and balance amount

Spend               Balance
20/-                     30/-
15/-                     15/-
9/-                        6/-
6/-                        0/-
==================
50/-                     51/-

Now, How can the total amount be 50 for one column and 51 for another.

From where this extra one dollar came ?

See Answer

Actually there is no comparison of sum of spent amount and sum of remaining amount. To make it easy to explain, lets say we spend $1 each time thus total spend becomes $50 while if we sum the balance amount i.e. 49 + 48 + 47 …….+1, it will be a very large number than $50.

Dinner time, nice number trick

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A nice number trick to play with your friends

Ask them, Using the below operations we will get to know what you generally likes to eat

  1. Take any number between 1 to 9
  2. Now multiply that number by 3
  3. Now add 3 to it
  4. Multiple it again by 3
  5. Sum all digits of the new number


And, take final number’s item from below

  1. Rajma
  2. Paneer
  3. Chicken
  4. Pizza
  5. Burger
  6. Gulab Juman
  7. Chowmein
  8. Ice cream
  9. Cow’s shit

Hehe,,, share it with your friends 🙂
No matter what is the number you choose it will come out to be 9.

Surprised, How does it work, Check out the explanation
Lets assumes the number you chose is x.
Now, Perform the steps from step 2

3x
3x + 3 = 3(x+1)
3*3(x+1) = 9(x+1)

9(x+1) is divisible by 9 and we know that sum of all the digits of a number divisible by 9 is also a multiple of 9, here x can vary from 1 to 9, so the final number can vary from 18 to 90, sum of the digits of these will always be 9.

Get Age from your shoe size

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You can figure out someone’s age from his shoe size, lets apply it to you

  1. Take your shoe size
  2. Multiply it by 5
  3. Add 50
  4. Multiply by 20
  5. Add 1013
  6. Subtract the year you were born

The first digit is your shoe size while the last 2 digits are your age 🙂

Now, Share it with your friends to surprise them 🙂

Surprised, How does it work, Check out the explanation
Lets assume the shoe size you took is x, we will perform all operations on x now

From step 2
5x
5x + 50
100x + 1000
100x + 2013

What is your age? = Subtract your birth year from the current year, i.e 2013 – your birth year.

Thus after subtracting your birth year on step 6, what remains is 100x + your age.
Now shoe size is generally from 1 to 9 max and your age will be less than 99, so first digit becomes your shoe size remaining two digits becomes your age.

By now, you must have understood, that this will not work for the people with shoe size more than 9 or older than 99.

Artists and paintings #56

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If 5/2 artists make 5/2 paintings using 5/2 canvases in 5/2 days then how many artists are required to make 25 paintings using 25 canvases in 25 days?

Check your answer:-

Tried enough already?
See Solution
Answer is 5/2 artists required to make 25 paintings in 25 day.
How?
If 5/2 artists make 5/2 paintings using 5/2 canvas in 5/2 days,
We can say that 5/2 artists make 1 painting using 1 canvas in 1 day.(its not 1 artist, most people do this mistake).

From above we can say 5/2 artists can make 25 paintings using 25 canvases in 25 days.

Guess the pincode

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A person forgot his 5 digit pin code, but he remembers some hints.

  1. 1st digit is square of 2nd digit.
  2. Sum of 2nd and 3rd digit makes 10.
  3. 4th digit is 2nd digit+1.
  4. Sum of 5th and 3rd digit makes 14.
  5. Sum of all 5 digits = 30

Can you guess the person’s pin code from above hints ?

See Answer

Pin code is 93747.
How?
Lets assume second digit is x, then first digit should be x^2 and fourth digit should be x+1.

also assume, 3rd digit is y then 5th digit should be 14-y.
So the number will look like this:-
<x^2><x><y><x+1><14-y>

As we also know the sum of all digits, we can say

x^2 + 2x +1 +14 = 30
(x+1)^2 = 16
x+1 = 4
x = 3

As sum of 2nd and third digit is 10 => x+y = 10 => y=7
Thus the pin code is 93747.

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