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Which number is greater ?

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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.

What happened to the missing ten dollars?

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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)

How old is dhoni now?

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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 ?

Check your answer:-

Tried enough already?
Click here to See Solution
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.

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 ?


this puzzle is shared by Fun Riddles on puzzless facebook page
Check your answer:-

Tried enough already?
Click here to See Solution
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)

Apple + Grape + Banana = ?

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Solve this simple puzzle and put your answer in comments

apple grapes banana puzzle

Check your answer:-

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Click here to See Solution
Apple = 7

Grape = 5 + 7 = 12

3Bananas = 7 -1 = 6

Apple + Grape + 1Banana = 7 + 12 + (6/3) = 21

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 ?

Tried enough already?
Click here to See Solution
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

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