Thursday, October 9, 2014

Whats my uncles age.

Puzzle:
I was visited my uncle.On my visit i met his friend as well.
I asked him what is their age.
My uncle replied saying,
the difference between their ages is 30 and if we multiply their ages it 1624.
What are their ages?


Note: Don't forget to visit us again. Answer to the puzzle will be posted tomorrow with winner's name. You can provide your answer in comments.
Solution:

Lets assume the age of two uncles is x and y
based on the conditions

x-y=30
xy=1624 --->y=1624/x
by substituting second equation into the first one

x-1624/x=30

multuply by x on  both sides

x2 -1624=30x
x2-30x-1624=0
this is a quadratic equation.like ax2+bx+c=0 the roots can be found by using the formula
you can follow the link on how to solve the equation http://www.wikihow.com/Solve-Quadratic-Equations

only positive root of the equation is 58.

so tha ages are 58 and 28
 Corrected My Answer:






Winner:Nithya is the Winner

Tuesday, October 7, 2014

Split them in half.

Puzzle:
A table full of quarter coins(infinite) are placed in front you.out of them 10 coins are showing tails and remaining are showing heads.
You are blind folded and you are wearing gloves.so you can not see and feel which coins are heads and tails.

Split the Quarters into two piles so that each pile has exactly same number of tails?


Note: Don't forget to visit us again. Answer to the puzzle will be posted tomorrow with winner's name. You can provide your answer in comments.
Solution:
The trick here is the piles does not have to be off the same size.Take exactly 10 coins from the whole pile and make it as second pile.In the second pile flip each coin once.
Now the two piles will have same number of trails.
Winner:

Saturday, October 4, 2014

Zebra Puzzle.

Puzzle:
  1. There are five houses.
  2. The Englishman lives in the red house.
  3. The Spaniard owns the dog.
  4. Coffee is drunk in the green house.
  5. The Ukrainian drinks tea.
  6. The green house is immediately to the right of the ivory house.
  7. The Old Gold smoker owns snails.
  8. Kools are smoked in the yellow house.
  9. Milk is drunk in the middle house.
  10. The Norwegian lives in the first house.
  11. The man who smokes Chesterfields lives in the house next to the man with the fox.
  12. Kools are smoked in the house next to the house where the horse is kept.
  13. The Lucky Strike smoker drinks orange juice.
  14. The Japanese smokes Parliaments.
  15. The Norwegian lives next to the blue house.
Now, who drinks water? Who owns the zebra?
In the interest of clarity, it must be added that each of the five houses is painted a different color, and their inhabitants are of different  national extractions, own different pets, drink different beverages and smoke different brands of American cigarets [sic]. One other thing: in statement 6, right means your right.
Courtesy:Wiki Life InternationalDecember 17, 1962
Note: Don't forget to visit us again. Answer to the puzzle will be posted tomorrow with winner's name. You can provide your answer in comments.
Solution:

House54321
ColorIvoryGreenRedBlueYellow
NationalitySpaniardJapaneseEnglishmanUkrainianNorwegian
DrinkOrange juiceCoffeeMilkTeaWater
SmokeLucky StrikeParliamentOld GoldChesterfieldKools
PetDogZebraSnailsHorseFox

Step 1

We are told the Norwegian lives in the first house (10). We count from left to right.
From (10) and (15), the second house is blue. What color is the first house? Not green or ivory, because they must be next to each other (6 and the second house is blue). Not red, because the Englishman lives there (2). Therefore the first house is yellow.
It follows that Kools are smoked in the first house (8) and the Horse is kept in the second house (12).
So what is drunk by the Norwegian in the first, yellow, Kools-filled house? Not tea since the Ukrainian drinks that (5). Not coffee since that is drunk in the green house (4). Not milk since that is drunk in the third house (9). Not orange juice since the drinker of orange juice smokes Lucky Strikes (13). Therefore it is water (the missing beverage) that is drunk by the Norwegian.
Step 2
Who can live in the second, the blue, house? First, we note that the Japanese cannot drink water (as we deduced the Norwegian drinks this), nor tea (5) nor orange juice (13), as he does not smoke Lucky Strike. So, the Japanese drinks either coffee (4) or milk (9), which also means he is either in the green house or in the middle house - and we know the second house (the blue one) is neither green nor in the middle. So, the Japanese cannot reside in the blue house, which leaves us only with the Ukrainian.
So what does the Ukrainian smoke? It cannot be Kool (8 taken by Norwegian), nor Old Gold (7 we now know the Ukrainian owns the horse), nor Lucky Strike (13, 5 the Ukrainian drinks tea), nor Parliaments (14). Thus he smokes Chesterfields.
Step 3
We can now assign the remaining 2 cigarette brands to the respective nationality: Since Old Gold is smoked by the snails owner (7), the Spaniard cannot smoke the brand (3 he owns a dog). Thus the English smokes Old Gold (and owns snails) and the Spaniard smokes Lucky Strike.
Step 4
We deduced in the previous step that the Spaniard smokes Lucky Strike, which implies he drinks orange juice (13). With this, the only unassigned drinks left are coffee and milk. Since the Englishman lives in the red house (2), he cannot be the one drinking coffee in the green house (4). Thus, the Englishman drinks milk in the middle house (9), which is red (2). And so, the Japanese drinks coffee in the green house (4).
Now we assigned all the drinks, and we also can assign the missing houses. We just concluded that the Englishman lives in the middle, red house and the Japanese in the green house. The ivory house is the only one left unassigned, and it must be the Spaniard's. Furthermore, since the green house is to the right of the ivory house (6) it is the last (i.e. rightmost) house, and we now have the order of houses (from left to right): yellow, blue, red, ivory, green.
Step 5
What is left to do is to assign the remaining 2 animals (fox, zebra) to their respective owners (Norwegian, Japanese) (we deduced in step 2 that the Ukrainian owns the horse, and instep 3 that the Englishman owns snails, and we already know that the Spaniard owns a dog (3)).
We know that the "man who smokes Chesterfields lives in the house next to the man with the fox" (11). The Ukrainian smokes Chesterfields and is neighbors with the Norwegian, but not with the Japanese. Thus, the Norwegian owns the fox and the Japanese owns the zebra.

Winner:

Thursday, October 2, 2014

Give me the gold

Puzzle:
We have 5 bags of coins.each bag has 50 coins.only one bag has gold coins in it other bags has fake gold coins.each fake coin weighs 1 gram,.each real coins weighs 1.01 grams.
we have a scale and we can use it only once.how to identify which bag has real gold coins.


Note: Don't forget to visit us again. Answer to the puzzle will be posted tomorrow with winner's name. You can provide your answer in comments.
Solution:
place the following coins in scale
1 coin from bag 1
2 coins from bag 2
3 coins from bag 3
4 coins from bag 4 and 
5 coins from bag 5 
For example, if the 5 coins weigh 15.05 grams, there must be 5 gold coins. These will have been from bag number 5 if coins weigh 15.04 the gold coins in 4th bag Winner:Aswani

Wednesday, October 1, 2014

Measure the time.

Puzzle:
You have given two ropes of different lengths and a lighter.
If you light the rope at one end,each rope takes 1 hours to burn completely.
though it takes same amount of time to burn the ropes they burn at different speed.
Meaning, first half of the first rope may take 15 minutes to burn and the second half may take 45 minutes to burn.
and this rate is different for the second rope.

Now the question is how do you measure 45 minutes of time using the two ropes and the lighter?

Solution:Burn the first rope from both sides and burn the second rope from one side.
First rope burns completely in 30 minutes as we lit it from both ends.
as soon as the first rope completely burned lit the other end of the second rope.it will take 15 minutes more to completely burn the second rope. 30+15 is your 45 minutes.

Note: Don't forget to visit us again. Answer to the puzzle will be posted tomorrow with winner's name. You can provide your answer in comments.
Solution:

Winner:

Monday, August 18, 2014

Which bulb is not working.

Puzzle:
You are standing in the first floor of the building next to 3 light switches.There is one room in the second floor of the building, where there are 3 light bulbs.Each light bulb is operated by the one of the switches next to you.Because the light bulbs are in another room you can not see them,

Now the question: One of the bulbs is not working.You can only turn on one switch and you can only make one trip to the room where the bulbs are.How to find out which bulb is not working.

Note: Don't forget to visit us again. Answer to the puzzle will be posted tomorrow with winner's name. You can provide your answer in comments.
Solution: Turn one switch on.

Case 1: If a bulb is on then the power is flowing to that bulb socket.take that bulb out and try the remaining two bulbs in the working socket.the bulb that is not working is the faulty one
Case 2:If no bulb is glowing.Take all three bulbs out.Try each bulb in 3 sockets,faulty bulb will not work in any of the socket.

Winner:

Wednesday, August 13, 2014

Let me enter

Puzzle:

A man is walking on the road.he saw a cool party going on.what he saw is everyone trying to enter the party is  given a set of numbers and the persons giving the correct answers are allowed to the party.

He overheard couple of numbers and correct answers
Numbers     Answers
8903   --- 4
1100   --- 2
2102   --- 1
7211   --- 0
0836   --- 4
8898   --- 7

He thinks he heard enough.He went to attend the party.
His number is 9822.He replied and he entered the party.What was his answer.


Note: Don't forget to visit us again. Answer to the puzzle will be posted tomorrow with winner's name. You can provide your answer in comments.
Solution: answer is 3 .Logic is Number of closed loops in the numbers given.

Winner: