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How many oranges were there in the basket ?

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basket of oranges

 

You have a basket of Oranges
You gave your mom half of them and half an orange
then, you gave your dad half of whats left & half an orange,
Finally you gave your sister half of whats left & half an orange
and the basket became empty.
How many oranges were there in the basket ?


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As basket became empty after you gave oranges to your sister, you must be having 1 orange before it.
Now you must be having 3 oranges before you came to your dad(as you gave 1.5 + 0.5 oranges to him)
Similarly you must be having 7 oranges before you came to your mom(as you gave 3.5 + 0.5 oranges to her)

Square – Square = 9,14,12,2

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Number Puzzle #150

IMG-20160213-WA0004

Square – Square = 9

+               +
Square – Square = 14

12              2


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Top Left Square

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Top Right Square

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Bottom Left Square

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Top Right Square

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4.5-(-4.5)=9
+ +
7.5 – 6.5 =14
= =
12 2

Distribute 1 to 99 in five groups

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Distribute 1 to 99 in five groups so that total of each group comes same & what is that?

Hint: you don’t really have to do much calculation, just use your brain a little bit 🙂

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This superb answer given by Amrit in comments
grp1- 1 to 9 and 90 to 99 => 1-9 twice and 10*90
grp2- 10 to 19 and 80 to 89 => 1-9 twice and 10*(10+80)
grp3- 20 to 29 and 70 to 79 => 1-9 twice and 10*(20+70)
grp4- 30 to 39 and 60 to 69 => 1-9 twice and 10*(30+60)
grp5- 40 to49 and 50 to 59 -> 1-9 twice and 10*(40+50)

What could be the dates ?

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One guy had a habit of spending the money as per the day of the month, for example he will spend $18 on 18th of the month.

Once he spent, $63 in continuous 5 days, What could be the dates ?

 

What was the first day ?

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Case 1)
lets assume all the days were of the same month, in that case
x + (x+1) + (x+2) + (x+3) + (x+4) = 63
5x = 53
x is coming out to be in decimal, which can not be

Case 2)
now the other possibility is such that month changes after some days

thus there can be few possibilities

A) x + (x+1) + (x+2) + (x+3) + 1 = 63

4x = 56 => x = 14, but 1st cant come after 17th, so it is ruled out

B) x + (x+1) + (x+2) + 1 + 2 = 63
3x = 57 => x = 19, but again 1st cant come after 21, so it is ruled out as well

C) x + (x+1) + 1 + 2 + 3 = 63
2x = 56 => x = 28, this is possible for the month with 29 days, i.e. February of leap year

so thee dates were 28,29,1,2,3

Grand Father, Father and Grand Son Ages

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One grand father
One father
One Grand Son
Sum of their ages is 140 years
Grand son’s age in month
is equal to grand fathers age in years
Grand son’s age in days
is equal to Father’s age in weeks
Now, Find out the age of all three.

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Grand son’s age in years

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Father’s age in years

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Grand father’s age in years

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Lets say G, F and S are ages of grand father, father and son in years
than
G+F+S = 140
S*12 = G
S*365 = (F*365)/7 => F = 7S
Than 12S + 7S + s = 140 => 20S = 140 => S = 7 Years
F = 49 Years
G = 84 Years

Lady, church and money math puzzle

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A lady starts from her house with some money to visit four Churches.

1. As soon as she enters Church1 her money gets doubled. She donates $100 and moves.

2. At Church2 again her money is doubled and she donates $100.

3. Her money is doubled again at Church3 and she donates $100.

4. At Church4 again her money gets doubled. She donates $100 again and returns home empty handed…

How much money she had when she started from her house???

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Money before church4: $50
Money before church 3: 150/2 = $75
Money before church 2: 175/2 = $87.5
Money before Church 1: 187.5/2 = $93.75

1st digit denotes how many zeroes

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Puzzle Time challenge?
Chalo solve karo…

Its a 5 digit number where…

1st digit denotes how many zeroes are there in the number

2nd digit denotes how many ones are there in the number

3rd digit denotes how many twos are there in the number

4th digit denotes how many threes are there in the number

5th digit denotes how many fours are there in the number

Can you guess the number?


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Lets say there are 4 0’s, so number should be 40000, but this violates that 5th digit tells how many 4’s are there.

Now lets say there 3 0’s then number can be 30010, but thus also violates, 2nd digit tells number of 1’s

Now if there are 2 0’s then 21200 satisfies all the conditions.

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