Mystery Death Puzzle

#173

Laila and Majnu were found dead in a room on 2nd floor of a multi-storied building, which is a couple of meters away from a railway track.
When investigating, we came to know that the room had only a shelf, a wall fan, 
some broken pieces of glass and water on the floor.
Can you guess how they both died!!!!

  Difficulty Level - 4/5

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  Solution : 

   Laila and Majnu were fishes. Due to the vibration of the train, glass or bowl fell from the shelf and both fishes died.
  

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Rebus Puzzle

#172

Make a line by combining both the rebus. 
-------> It should be related to the page. <-------- 

  Difficulty Level - 3/5

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  Solution : 

   Half hearted get aside or go
  

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Hard Probability Puzzle

#171

There was a race going on between 8 persons. In how many ways, counting the ties, they can reach the destination i.e. finishing line ?
For example : Two persons, A and B, can reach the destination in 3 ways.
A wins, B wins or a Tie.

  Difficulty Level - 5/5

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  Solution : 

  545835.
It's the same as putting 8 labelled balls into k labelled boxes so that no box is empty, and summing for k = 1... 8.
For each k(places) you can find the total by starting with k^8 (choose a box for each ball), then eliminating the cases where a box is empty using inclusion exclusion.
k=1: 1
k=2: 2^8 - 2
k=3, 3^8 - 3*2^8 + 3
k=4, 4^8 - 4*3^8 + 6*2^8 - 4
k=5, 5^8 - 5*4^8 + 10*3^8 - 10*2^8 + 5
k=6, 6^8 - 6*5^8 + 15*4^8 - 20*3^8 + 15*2^8 - 6
k=7, 7^8 - 7*6^8 + 21*5^8 - 35*4^8 + 35*3^8 - 21*2^8 + 7 = 7! * C(8,2)
k=8, 8!
It adds to 545835.
{ k=1 means everybody is tied; k=4 means there are 4 different places (1st place through 4th place), so many people are tied etc.}

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Hard Probability Puzzle - Hint

#171

There was a race going on between 8 persons. In how many ways, counting the ties, they can reach the destination i.e. finishing line ?
For example : Two persons, A and B, can reach the destination in 3 ways.
A wins, B wins or a Tie.

  Difficulty Level - 5/5

  Update Your Answers : Click Here

  Hint : 

   You can start thinking by considering a race of fewer men and then developing a systematic way to count the number of possible outcomes.
  

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Unreliable Clock Puzzle

#170

Your clock is not working properly(Unreliable Clock).
It is gaining 15 minutes every hour.
When you noticed this, you set 10 a.m. in the clock.
After that, you got busy in some work and when you saw the time again, it was showing 1 p.m.
Also, somebody told you that the clock stopped working 4 hours ago.
So, what is the correct time now???

  Difficulty Level - 3/5

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  Solution : 

   4:24 p.m.
  

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Unreliable Clock Puzzle - Hint

#170

Your clock is not working properly(Unreliable Clock).
It is gaining 15 minutes every hour.
When you noticed this, you set 10 a.m. in the clock.
After that, you got busy in some work and when you saw the time again, it was showing 1 pm.
Also, somebody told you that the clock stopped working 4 hours ago.
So, what is the correct time now???

  Difficulty Level - 3/5

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  Hint : 

   You can count clock-minutes for real hour..
  

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Dividing Horses Puzzle

#169

A rich old American had three sons. Before dying, he wrote in his will that his 17 Horses would be divided to his sons, as follows :- 
Eldest Son would get half of the Horses, 
Younger Son would get one-third of the Horses and
Youngest Son would get one-ninth of the Horses. 
After his death, the sons were unable to figure out how this can possibly be done. 
An old wise man without hesitation helped them in dividing the Horses properly. 
How did he do it?

  Difficulty Level - 3/5      

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  Solution : 

   9, 6, 2 
  >>>>  You have to take the LCM of the numbers (2,3,9) and have to find the nearest number to LCM(18) and then divide the horses.
                                                                   OR 
  You can say the old man temporarily added his horse to the 17, making a total of 18 horses.
1/2 = 9 , 1/3 = 6,  1/9 = 2 for a total of 17. 
He then took his horse back and ride away......

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Easy Maths Puzzle

#168

What are the values of a and b ??

  Difficulty Level - 1/5

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  Solution : 
    2.5 >>>>>   a^3 + b^3 = (a + b)(a^2 - ab + b^2)
           >>>>>    a^2 + b^2 = (a + b)^2 - 2 ab

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Mathematical Reasoning Puzzle

#167

You are running a small business. To promote your brand, you decided to distribute Red, Black and Green Pens (having your brand name on them) among 100 persons. You have a budget of 100 dollars.
You decided not buy a single pen extra and also spending the exact $100 on buying pens. (Expecting printing cost nil)
The cost of different colored pens i.e Red, Black and Green Pens are $6, $3 ad $0.10 respectively.
So, what is the exact number of different colored pens will you buy ?

  Difficulty Level - 5/5

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  Solution : 

   Let "R", "B" and "G" be the number of Red, Black and Green Pens. We know two equations:
           R +   B +        G = 100                                       --- 1
        6R + 3B + 0.1G = 100                                --- 2
By multiplying the first equation by 6 and then 3 >>
        6R + 6B + 6G = 600
        3R + 3B + 3G = 300
Subtracting these two equations from the second, we can come up with two more equations:
                  3B = 500 - 5.9G
                  3R = 2.9G - 200 
Normally, two equations isn't enough to solve for three variables. 
But R,B and G are non-negative integers. 
So, if 3B ≥ 0, then 500 - 5.9G ≥ 0. This means G ≤ 84.75. 
Also, if 3R ≥ 0, then 2.9G - 200 ≥ 0. This means G ≥ 68.97.
i.e only two numbers can be possible which are 70 & 80.(as pens can't be fractional)
>>>> If G=80, then, R=10.67, and B=9.33. But R and B must be integers, so, it is not the solution.

>>>> If G=70, then, R=1, and B=29.

So, 1 Red Pen must be bought for $6.00, 29 Black Pens must be bought for $87.00, and 
70 Green Pens must be bought for $7.00.
  

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Mathematical Reasoning Puzzle - Hint

#167

You are running a small business. To promote your brand, you decided to distribute Red, Black and Green Pens (having your brand name on them) among 100 persons. You have a budget of 100 dollars.
You decided not buy a single pen extra and also spending the exact $100 on buying pens. (Expecting printing cost nil)
The cost of different colored pens i.e Red, Black and Green Pens are $6, $3 ad $0.10 respectively.
So, what is the exact number of different colored pens will you buy ?

  Difficulty Level - 5/5

  Update Your Answers : Click Here

  Hint : 

   Will be updated in a day.
  

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Hole Digging Puzzle

#166

Three friends, Amar, Akbar and Anthony got a task to dig a hole. 
On their own, Amar can dig a hole in 18 minutes, 
Akbar can dig a hole in 6 minutes and 
Anthony can dig a hole in 5 minutes. 
Amar and Akbar did not know that, Anthony has Short term memory loss.
So, when they started to dig the hole together, Anthony forgotten what he was supposed to be doing. So, he started shovelling the dirt back into the hole at the same rate as he could have removed dirt. 
Amar and Akbar never noticed this. 
So, how much time will they take to complete the task ??? 

  Difficulty Level - 3/5

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  Solution : 

   45 minutes.(1/18 + 1/6 - 1/5)
  

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Hole Digging Puzzle - Hint

#166

Three friends, Amar, Akbar and Anthony got a task to dig a hole. 
On their own, Amar can dig a hole in 18 minutes, 
Akbar can dig a hole in 6 minutes and 
Anthony can dig a hole in 5 minutes. 
Amar and Akbar did not know that, Anthony has Short term memory loss.
So, when they started to dig the hole together, Anthony forgotten what he was supposed to be doing. So, he started shovelling the dirt back into the hole at the same rate as he could have removed dirt. 
Amar and Akbar never noticed this. 
So, how much time will they take to complete the task ??? 

  Difficulty Level - 3/5

  Update Your Answers : Click Here

  Hint : 

   Holes each can fill/empty in one hour...

  

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100 Words Puzzle

#165

You are given last 22 alphabets of English i.e. from E to Z. Can you write hundred(100) words of English in 30 seconds by using only the above said alphabets ?

  Difficulty Level - 3/5

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  Solution : 

   Zero(0) to ninety nine(99)
  

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100 Words Puzzle - Hint

#165

You are given last 22 alphabets of English i.e. from E to Z. Can you write hundred(100) words of English in 30 seconds by using only the above said alphabets ?

  Difficulty Level - 3/5

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  Hint : 

   Mathematical Facts.
  

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DEAD or ALIVE

#164

Dead or Alive battle is going on between "Daya" and "Abhijeet". The referee "ACP Pradyuman" has two papers with him -- one with "DEAD" written on it and other with "ALIVE" written on it -- Both papers are folded up and placed in a bowl. Daya is permitted to pick out one of the papers (without looking), and if he choose the one with "ALIVE" written on it, he will come out alive by winning the battle. Otherwise, he will die. 
On this occasion, a mean-spirited acquaintance of Daya, bent on his demise, has substituted the paper with "ALIVE" written on it with another one with "DEAD" written on it. This person gleefully informs Daya that he is doomed to die. Daya is not permitted to speak to anyone about this misdeed, nor he has a chance to switch the papers or the bowl. How can Daya win the battle?

  Difficulty Level - 3/5

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  Solution : 

   After drawing one of the papers, Daya have to swallow it. The referee would be forced to check the remaining paper to determine what the one Daya drew said. The referee would of course see a paper with "DEAD" written on it, assuming Daya drew the one with "ALIVE" written on it, and Daya will win.
  

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DEAD or ALIVE - Hint

#164

Dead or Alive battle is going on between "Daya" and "Abhijeet". The referee "ACP Pradyuman" has two papers with him -- one with "DEAD" written on it and other with "ALIVE" written on it -- Both papers are folded up and placed in a bowl. Daya is permitted to pick out one of the papers (without looking), and if he choose the one with "ALIVE" written on it, he will come out alive by winning the battle. Otherwise, he will die. 
On this occasion, a mean-spirited acquaintance of Daya, bent on his demise, has substituted the paper with "ALIVE" written on it with another one with "DEAD" written on it. This person gleefully informs Daya that he is doomed to die. Daya is not permitted to speak to anyone about this misdeed, nor he has a chance to switch the papers or the bowl. How can Daya win the battle?

  Difficulty Level - 3/5

  Update Your Answers : Click Here

  Hint : 

   One paper gone, one left...
  

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Tricky Coin Puzzle

#163

Two friends, Jay and Viru, were playing Brain Battle and try to beat each other with brain only. Jay made a figure on a table by using 7 coins and said to Viru with a mischievous look in his eyes that you will not be able to solve this one. 
The task was to take away two coins from the arrangement so that he leave five coins across and three coins going down.
Viru was amazed and said he couldn't solve this one even if he spend his whole life in thinking about this one.
Can you get into Jay's skulduggery and solve this one ?

  Difficulty Level - 4/5

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  Solution : 

   Take away the two coins from any end of the row of five coins to leave "five coins, A Cross and three coins going down".

Viru fell into his trap and misinterpreted what he was actually asking him to do! 
Did you fall in Jay's trap as well ??
  

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Tricky Coin Puzzle - Hint

#163

Two friends, Jay and Viru, were playing Brain Battle and try to beat each other with brain only. Jay made a figure on a table by using 7 coins and said to Viru with a mischievous look in his eyes that you will not be able to solve this one. 
The task was to take away two coins from the arrangement so that he leave five coins across and three coins going down.
Viru was amazed and said he couldn't solve this one even if he spend his whole life in thinking about this one.
Can you get into Jay's skulduggery and solve this one ?

  Difficulty Level - 4/5

  Update Your Answers : Click Here

  Hint : 

   This is a tricky one. Try saying it loud or get into Jay's skulduggery.
  

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Who Am I Riddle

#162

In some situations, I oppose the motion 
In other situations I facilitate the motion but, 
I always oppose the relative motion between the two moving surfaces.
Put some lubricant and I become smaller making the moving surfaces rough, 
I make the movement tough I may be static sliding or rolling but whenever two surfaces are in motion I am always there. 
Tell me who I am.. 

  Difficulty Level - 2/5

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  Solution : 

   Friction.
  

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Sachin's Career Threatening Riddle

#161

It was one of the Career threatening injury for #SachinTendulkar. What is it ? 

  Difficulty Level - 1/5

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  Solution : 

   Tennis Elbow.
  

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Average Age Puzzle

#160

>>>> Cricket is not a Religion but #Sachinism is <<<<<

In 1999, Sachin Tendulkar (26 years) was the captain of Indian Cricket Team & at that time, Nayan Mongia (3 years older than Sachin) was keeping wickets. If the ages of both Sachin & Mongia are excluded from the 11 member team, the average age of the remaining players would become 1 year less than the average of whole team.
Can you answer the average age of the team ???

  Difficulty Level - 3/5

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  Solution : 

   23 years. 
>> 26 + 29 = 55 (Sum of ages of Sachin & Mongia) 
>> 55 - 11 (Difference of 1 year) = 44 
>> 44/2 = 22 (since 2 players are removed, their avg age) (Avg age of team before 1 year) 
>> 22 + 1 = 23 (Average age of whole team)
  

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Cricket Puzzle

#159

Sachin and Ganguly were batting against Zimbabwe to achieve a target of 205. 
India were 198/0, Sachin and Ganguly, both were 94 not out. 
Ganguly decided to wrap up the things in the next 3 balls (last balls of that over) 
but Sachin reminded him that he is on 94 and at non-strikers end. 
How could they both get to 100* and finishing the game in the next 3 balls ??

#sachinismn 

  Difficulty Level - 4/5

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  Solution : 

   Ganguly hits the 1st ball for a boundary(4 runs) and then on 2nd ball, runs 3. In between, the umpire calls ONE (RUN) SHORT i.e 2 runs awarded. 
So, Ganguly gets 6 runs and completes his Century. 
Also, as he ran 3 runs, Sachin will be on strike for the next ball. He hits a SIX and completes his Century.

2-Ball Solution :-
Ganguly hits the ball and runs 3, and fielder throws the ball which goes to the boundary as overthrows. In between, the umpire calls ONE (RUN) SHORT. 
So Total Runs = 3 (ran by batsmen) - 1 (One Short) + 4 (Overthrows).
So, Ganguly gets 6 runs and completes his Century. 
Also, as he ran 3 runs, Sachin will be on strike for the next ball. He hits a SIX and completes his Century, there by winning the match..
  

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Cricketing Term Puzzle

#158

>>>> We are dedicating this week to Master Blaster Sachin Tendulkar - A True Cricketing Legend. #SACHINISM <<<<<<

Which Cricketing Term can be derived from the picture ??? 

  Difficulty Level - 5/5

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  Solution : 

   Leg-Break (As Broken Leg in image ) >>> Sachin loves to bowl leg breaks and also loves to hit leg spinners.
  

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Cricketing Term Puzzle - Hint

#158

>>>> We are dedicating this week to Master Blaster Sachin Tendulkar - A True Cricketing Legend. #SACHINISM <<<<<<

Which Cricketing Term can be derived from the picture ??? 

  Difficulty Level - 5/5

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  Hint : 

  This term is one of the favorites of Sachin. In the image, there is an injured person with a broken leg.
  

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Counting Gallons Puzzle

#157

One of my friend was going from my hometown, Kaithal to Karnal, with a full tank of gasoline i.e. 23 gallons. 
But unfortunately, at that exact moment his gasoline tank sprang a leak, due to which he started losing 1 gallon of fuel each hour. 
When going to Karnal which is 60 kms away, he could only manage a speed of 12 kmph. 
But on the way back to Kaithal, he managed a speed of 16 kmph.
(He was travelling at 8 kms per gallon)
Were 23 gallons enough for the round trip ??
If not, how much more gallons, he needs ?? 

  Difficulty Level - 3/5

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  Solution : 

   The trip was a total of 120 kms, which at 8 kms to the gallon, used 15 gallons.
   The outward trip of 60 kms was at 12 kmph, which took 5 hours. 
   The return trip was at 16 kmph, which took 3.75 hours. 
   Which is a total journey time of 8.75 hours, which meant that 8.75 gallons were lost.
   So, 15 gallons were used for the trip, 8.75 gallons were lost, which is a total of 23.75 gallons. 
   So, 23 gallons was not enough for the round trip and he needs 0.75 gallons more.
   

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