YoKejriwalSoHonest Puzzle

#217

Once Anna Hazare and Arvind Kejriwal was fighting on a issue and then they agreed to finish the issue by tossing a coin. But then YoKejriwalSoHonest tossed the coin until he got HEAD as a result.
After some time, what should be the proportion of HEADS to TAILS ? (Assuming probability of having a HEAD or a TAIL is the same)

  Difficulty Level - 3/5

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  Solution : 

  Will be updated in a day.
  

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Tricky Number Puzzle

#214

Can you mark exactly four of these numbers so that the 4 numbers add up to give twelve?

  Difficulty Level - 1/5

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  Solution : 

  Flip the image upside down and now you can circle 9,1,1,1 to make 12.
  

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Club Riddle

#201

A man wanted to enter an exclusive club but did not know the password that was required. He waited by the door and listened. A club member knocked on the door and the doorman said "twelve." The member replied "six” and was let in. A second member came to the door and the doorman said "three." The member replied "five" and was let in. A third member came to the door and the doorman said "six." The member replied "nine" and was let in. The man thought he had heard enough and walked up to the door. The doorman said "five" and the man replied "four." but he was not let in. What must be the reply, so that the man can let in?

  Difficulty Level - 4/5

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  Solution : 

  He must reply 6. (Five has 4 letters >> Square of 4 is 16 >> The doorman wants the last digit only. )
  

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Club Riddle - Hint

#201

A man wanted to enter an exclusive club but did not know the password that was required. He waited by the door and listened. A club member knocked on the door and the doorman said "twelve." The member replied "six” and was let in. A second member came to the door and the doorman said "three." The member replied "five" and was let in. A third member came to the door and the doorman said "six." The member replied "nine" and was let in. The man thought he had heard enough and walked up to the door. The doorman said "five" and the man replied "four." but he was not let in. What must be the reply, so that the man can let in?

  Difficulty Level - 4/5

  Update Your Answers : Click Here

  Hint : 

  Play with numbers.
 

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Confusing Probability Puzzle

#192

There are two juveniles in Mr.Sharma's family. At least one juvenile is a boy. What is the probability that both of the juveniles are boys?

Also, there are two juveniles in Mr.Verma's family. The older juvenile is a girl. What is the probability that both of the juveniles are girls? 

  Difficulty Level - 3/5

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  Solution : 

  1/3 and 1/2 >>>>>>
Since there are two juveniles in Mr.Sharma's family, at least one of which is a boy, there are three equally probable cases: Boy-Boy, Boy-Girl or Girl-Boy. In only one case, both juveniles are boys, so the probability that both are boys is 1/3.
Mr.Verma's family situation is different. Knowing that the older juvenile is a girl, there are only two equally probable cases: 
Girl-Girl or Girl-Boy. Therefore the probability that both juveniles are girls is 1/2 . 

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Confusing Probability Puzzle - Hint

#192

There are two juveniles in Mr.Sharma's family. At least one juvenile is a boy. What is the probability that both of the juveniles are boys?

Also, there are two juveniles in Mr.Verma's family. The older juvenile is a girl. What is the probability that both of the juveniles are girls? 

  Difficulty Level - 3/5

  Update Your Answers : Click Here

  Hint : 

  These are two different cases.
  

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Easy Maths Puzzle

#191

Finally a very easy puzzle for you all....

  Difficulty Level - 2/5

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  Solution : 

   75. Applying PEDMAS/BODMAS, you get the equation as (15/5)*5*5 = 75
  

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Easy Maths Puzzle - Hint

#191

Finally a very easy puzzle for you all....

  Difficulty Level - 2/5

  Update Your Answers : Click Here

  Hint : 

  PEDMAS or BODMAS.
  

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House Number Problem

#182

Amitabh Bachchan (Vicky Babu) was searching the house of Jaya Prada(Meena) who lives in a long street.
Vicky knew that there are more than 50 houses in that side of the street but no more than 500 houses.
Also, the numbers on the one side of Meena's House add up to exactly the same as all the numbers on the other side of Meena's House.
Can Vicky find the Meena's House Number without singing the famous song ---> "Meena aa gya tera deewana" ? 

  Difficulty Level - 5/5

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  Solution : 

   House Number 204 among 288 houses on one side of street.
  

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House Number Problem - Hint

#182

Amitabh Bachchan (Vicky Babu) was searching the house of Jaya Prada(Meena) who lives in a long street.
Vicky knew that there are more than 50 houses in that side of the street but no more than 500 houses.
Also, the numbers on the one side of Meena's House add up to exactly the same as all the numbers on the other side of Meena's House.
Can Vicky find the Meena's House Number without singing the famous song ---> "Meena aa gya tera deewana" ? 

  Difficulty Level - 5/5

  Update Your Answers : Click Here

  Hint : 

   There can be numbers like 1 (no house on each side), number 6 with 8 houses in the street (sum = 15 on both sides) and so on.
  

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Interesting Date Game

#181

An interesting date to reckon is 7.7.49 meaning July 7, 1949 as in this date the product of the first two numbers is equal to the last number.
The game is to find the dates of this kind in the 20th century...
The one who finds the year(in 20th century) in which there are maximum dates of this kind will win....
The game begins now..

  Difficulty Level - 4/5

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  Solution : 

   1924. >>>> 7 such dates possible. 
   >>>> 1.24.24 , 2.12.24, 3.8.24, 4.6.24, 6.4.24, 8.3.24, 12.2.24 
   >>>> In 36, 48, 60 and 72 only 6 such dates possible. 
  

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Interesting Date Game - Hint

#181

An interesting date to reckon is 7.7.49 meaning July 7, 1949 as in this date the product of the first two numbers is equal to the last number.
The game is to find the dates of this kind in the 20th century...
The one who finds the year(in 20th century) in which there are maximum dates of this kind will win....
The game begins now..

  Difficulty Level - 4/5

  Update Your Answers : Click Here

  Hint : 

   You can find the divisors.
  

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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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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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Counting Gallons Puzzle - Hint

#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

  Update Your Answers : Click Here

  Hint : 

   Time spent in journey.
  

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Length Of Wire Puzzle

#156

One of my friend, Shaun asked me to bring a wire from the market. 
I was so confused at that moment, that I accidentally interchanged the feet and inches. 
When he measured the wire that I brought, it was only 5/8 of the length required.
Can you tell, how much wire did Shaun originally asked to bring ??

  Difficulty Level - 3/5

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  Solution : 

   Shaun asked for 7 feet, 4 inches but I brought 4 feet, 7 inches.
   If we label what Shaun asked for as A feet and B inches, which is (12 x A + B) inches, then he actually received B feet and A inches, which is (12 x B + A) inches. Which means that :
   (5 ÷ 8) x (12 x A + B) = (12 x B + A)
Simplifying gives :
   A = (91 ÷ 52) x B >>> A = (7 ÷ 4) x B
As B is the number of inches, it can only be between 1 and 12 and must give A as a whole number of feet. 
B = 4 is the only possible value, which means that A = 7. 
So, Shaun originally asked for 7 feet, 4 inches.

  

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Length Of Wire Puzzle - Hint

#156

One of my friend, Shaun asked me to bring a wire from the market. 
I was so confused at that moment, that I accidentally interchanged the feet and inches. 
When he measured the wire that I brought, it was only 5/8 of the length required.
Can you tell, how much wire did Shaun originally asked to bring ??

  Difficulty Level - 3/5

  Update Your Answers : Click Here

  Hint : 

   1 foot = 12 inches and some algebra can help you.
  

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Find the Number Puzzle

#152

Find the number that will replace the question mark....

  Difficulty Level - 1/5

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  Solution : 

   " ? " can be Any Number 
As Sum of nth row = Sum of nth column.
i.e 7 + 7 + 6 = 7 + 9 + 4 = 20; 9+ ? + 2 = 7 + ? + 4 ; 4 + 4 +2 = 6 + 2 + 2 = 10
  

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Maths Puzzle

#145

Two numbers are created using all the digits from 1 to 9 
and all digits are used exactly once in creating these numbers.
You have to make the product of these two numbers as large as possible.
What are the two numbers which'll create the largest product? 

  Difficulty Level - 5/5

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  Solution : 

   87531 x 9642
  

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