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If FROG = 719168, then TRIP = ?

November 10, 2016 by puzzler 9 Comments

if the FROG is coded as 719168 ,then what should be the code for TRIP

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answered by Gaurav Goel

21191017
Add 1 to each of
T-20
R-18
I-9
P-16

Thus TRIP = 21 19 10 17

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4 mansions in a line puzzle

October 28, 2016 by puzzler 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 ?

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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

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Coconut + Apple + Banana = ?

August 14, 2016 by puzzler 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 = ?

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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

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9 odd number with sum 199

August 8, 2016 by puzzler 6 Comments

Find 9 odd number whose sum is 199

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1+3+15+19+21+23+37+39+41=199

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permutations n Combinations

July 29, 2016 by Murali Aj 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.

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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

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Which number is greater ?

June 8, 2016 by puzzler 1 Comment

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

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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.

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Which number should replace ? mark

June 4, 2016 by puzzler 2 Comments

Let’s see your math quotient

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


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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

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What happened to the missing ten dollars?

May 25, 2016 by puzzler 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 AnswerHide
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)

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How old is dhoni now?

May 8, 2016 by puzzler 2 Comments

how old is doni now

Dhoni is now two fifth of his older brother’s age and two years from now he will be half of his older brother’s age.

Two years ago, dhoni was only one-fourth the age of his older brother age at that time.
How old is dhoni now ?

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Lets assume dhoni and his older brother are x and y years old as of now.
so x = 2y/5;
and
x+2 = (y+2)/2 => 2x +4 = 2+y => 2x – 5x/2 = -2 => x/2 = 2 => x = 4
and
x-2 = (y-2)/4 => 4x – 8 = y-2 => 4x – 5x/2 = 6 => 3x/2 = 6 => x = 4
and y = 10
so dhoni is 4years old now.

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How many oranges were there in the basket ?

May 4, 2016 by puzzler 1 Comment

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 ?


this puzzle is shared by Fun Riddles on puzzless facebook page
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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)

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