puzzle with explanation

Ques:  Mala was playing marbles with her friend Lila. I heard Mala say to Lila," If u give one of ur marbles, i will have as many as u".Lila replied,"If u give one of ur marbles, i will have twice as many as u".How many marbles each had?

Exp: 1.The two numbers should be less than ten considering the condition of twice(num > 10 wont be twice by lending one).
        2. The diff. between the numbers should be two.
        3. Num should be between 3 & 9(1 & 2 wont satisfy the condition)
        4. In this limit 5 & 7 will satisfy all the condition.
Ans:   7-1 = 5+1
          7+1 = 2*(5-1)

1. I'm slim and tall, many find me desirable and appealing. They touch me and I give false good feeling. Once i shine in splendor,but only once and then no more. For many I'm "to die for". Who am I?

Ans: Cigarette

2. If u have me, you want to share me.If u share me, u haven't got me. Who am I?

Ans: Secret

3. There was a green house. Inside the green house,there was a white house.Inside the white house, there was a red house. Inside the red house,there were lots of babies. What am I?

Ans: Watermelon

think smart

1. Lucy had it first Ethel had it last Mary Lungel had it twice until she married Peter Stupid and never had it again. What is it?

Note: Read it twice than u can understand

Ans. The Letter ‘L’

2. Which vehicle is spelled the same forwards and backwards?

Ans. Racecar

 3. Paul’s height is six feet, he’s an assistant at a butcher’s shop, and wears size 9 shoes. What does he weigh?

Ans. Meat

 4. What do the letter ‘T’ and an island have in common?

Ans. Both are in water - WaTer.

puzzles

1. A man marries twenty women in his village but isn't charged with polygamy.
Ans: He's a priest -- he's marrying them to other people, not to himself.

2. A man walks into a room, shoots, and kills himself.
Ans: The man walks into a casino and goes to the craps table. He bets all the money he owns, shoots craps, and loses. Now flat broke, he becomes despondent and commits suicide.

Quizzes

1. In a year, some months have 30 days, while some have 31. Guess, which month has 28 days?

2.  A time when they’re green, a time when they are brown, but both of these times, cause me to frown. But just in between, for a very short while, they‘re perfect and yellow, and cause me to smile! Who am I?

3.As I went across the bridge, I met a man with a load of wood which was neither straight nor crooked. What kind of wood was it?

4.  I fly when I'm born. I lay when I'm alive and I run when I'm dead. What am I?

Ans:
1. All months have 28 days.
2. Banana.
3. Saw dust.
4. snow.

Answer the ques

1.A man is having two equal pieces of paper each in one hand.One paper is written with letter 'A' and another one is plain.He have to drop the papers and paper with 'A' should reach the floor first.How its possible?

Ans: Crush the paper with letter 'A' and drop

1. Many people ask what the various National Mathematical Challenges are like. If you have decided what is the answer to the question below then you will find the Mathematical Challenges rather easy. Happy puzzling!

What is the answer to this question?

Ans:

        WHAT!

2. Use these torn pieces and form the letter 'T' as shown in fig.

 

Ans: 

1. The following equation is wrong: 101 - 102 = 1
    Move one numeral to make it correct.
    Move one line to make it correct. 

Ans: Move the numeral 2 half a line up to achieve 101-10² = 1
Move one of the lines that makes the "=" over to the "-" to make: 101 = 102 - 1

2. Two boys wish to cross a river. The only way to get to the other side is by boat, but that boat can only take one boy at a time. The boat cannot return on its own, there are no ropes or similar tricks, yet both boys manage to cross using the boat.

How?

Ans:

The boys start on opposite sides of the river.

tricky ques

1. What mathematical symbol can be put between 5 and 9, to get a number bigger than 5 and smaller than 9?

Ans: A Decimal Point
5.9 satisfies the condition

2. In Hungry Horace's kitchen there were three tins. Each tin contained three delicious cakes:

One night Horace crept into the kitchen, opened the three tins, and ate three of the cakes.The surprising thing was, when Horace went back to bed, each tin still contained three cakes.
How did he do it? Were they REALLY magic cakes?

Ans:

Horace ate the cakes in the large tin, then he put the middle tin into the empty tin.So when Horace went back to bed, every tin contained three cakes again!

smart riddles

1.  2+3=8,
3+7=27,
4+5=32,
5+8=60,
6+7=72,
7+8=??

Solve it?  
Ans is 98.        
Explanation: 2*1+3*2=8,3*2+7*3=27,.....,7*6+8*7=98.



2. The below is a number puzzle. It should be read left to right, top to bottom.
1
1 1
2 1
1 2 1 1
1 1 1 2 2 1
? ? ? ? ? ?
? ? ? ? ? ? ? ?

Question 1: What is the next two rows of numbers?
Question 2: How was this reached?

Ans: 312211
         13112221
Explanation: 1 ->one '1' , This is written in digit in 2nd row
                                 11 ->two '1' , This is written in 3rd row and so on

There are 10 numbers: 21, 22, 34, 39, 44, 45, 65, 76, 133, and 153. Can you split all the numbers into 2 groups so that the product of all the numbers of these 2 groups are the same? Ans:

The easiest way is to factor all the number out. 21 = 3 x 7, 22 = 2 x 11, 34 = 2 x 17, 39 = 3 x 13, 44 = 2 x 11, 45 = 3 x 3 5, 65 = 5 x 13, 76 = 2 x 2 x 19, 133 = 7 x 19. Then you can try to split the numbers. For example, 133 and 76 should be separated because both of them have factors of 19. These 2 groups are: (76, 21, 65, 22, 153) and (133, 39, 45, 44, 34).

1.

	You need to move 2 adjacent pieces at one time. In the problem, you need to move 2 times to make it comingled.. You can not have any gap between pieces when you finish. You are not limited to move in one direction only.

Ans:
 

2.

Take a rope to tie the handle of a cup as shown in the figure. Then tie the vertical end to a fixed nail. How can you untie the rope from the cup handle without cutting the rope, breaking the cup, or releasing it from the other end of the rope? Assume the rope can be as long as you can think of.

Ans:

Lose the tie and make the tie become a big hole and let the cup go though the hole.

creative puzzle

1. 

	12 matches made 4 squares as shown in the figure. 1. Move 3 matches to make 3 squares. 2. Move 4 matches to make 3 squares.

Ans :    



2. When the Titanic sank in the ocean, four gentlemen and four young ladies floated on to an island. After a while, all of them fell in love with each other. Each person loved one and only one. 

The girl that John loved fell in love with Jim. The girl that Allan loved fell in love with Bill. The gentleman that Rose loved fell in love with Mary. Gloria loved the gentleman who loved rose. Gloria did not like Jim and John. Bill did not like Mary. Jill did not like the gentleman who loved her.

The question is: Whom did Allan love?

Ans :
 1. John loved girl-1 who loved Jim.
 2. Allan loved girl-2 who loved Bill.
 3. Rose loved gentleman-1 who loved Mary.
 4. Gloria loved gentleman-2 who loved Rose.
 5. Gloria did not like Jim and John.
 6. Bill did not like Mary.
Reasoning:
7. Item 3 and 4 can be conbined into 1 chain.
8. Gloria can not be the girl-1 because 1 and 5.
9. Since Bill does not like Mary, Bill can not be gentleman 1.
10. Bill can not love Gloria, because that will end up combining item 2 and 7. The resulting chain will have 5 girls. It meant Bill was gentleman 2 and loved Rose.
12. According to item 2, the answer was Allan loved Gloria.

Todays puzzle

1.  72  ->  53  ->  34  ->  25
What are the next two numbers in the sequence?
Ans :
7*7+2*2=53
5*5+3*3=34
3*3+4*4=25
2*2+5*5=29
2*2+9*9=85    29 and 85 are the numbers.


2.  I have a horse. Do you know what color it is

Allan said, "I guess it is not black". 
Brian said, "It is either brown, or gray".
Charlie said "I know it is brown".

I said, "At least one of you is right and at least one of you is wrong." What is the color of my horse if the color is one of the above?

Ans:It is gray

Tricky maths

1. Replace The Question Mark Below With Correct Number ?

2 {38} 3
4 {1524} 5
6 {3548} 7
8 {????} 9
Ans:
6380

1st num:8*8-1=63
9*9-1=90



2. I have a role of cloth 1km long.
I have a machine which cuts this role into pieces of 10 meter long cloth.

How long would it take for the machine to cut the roll if each cut took 4 secs ?
Ans:
396 seconds

1000m would only take 99 cuts not 100.
so 4*99 => 396

Types of puzzles

1. DOUBLET is a puzzle which tranfer one meaningful word to another meaningful word by changing one letter in each step.

Condition : word in each step should be meaningful & transfer within minimum steps

Example : HEAD to TAIL

               HEAD

               HEAL

               TEAL

               TELL

               TALL

               TAIL

2. TANGRAM is a puzzle set consisting of 7 rearrangable pieces. The aim of the puzzle is to form a figure using those 7 tangram pieces. The figure may be a mathematical shape or animal and so on with definite shape.

Technical interview ques

1.             Question: Two old friends, Jack and Bill, meet after a long time.

Jack: Hey, how are you man?
Bill: Not bad, got married and I have three kids now.
Jack: That’s awesome. How old are they?
Bill: The product of their ages is 72 and the sum of their ages is the same as your birth date.
Jack: Cool… But I still don’t know.
Bill: My eldest kid just started taking piano lessons.
Jack: Oh now I get it.

How old are Bill’s kids?

Answer: Let’s break it down. The product of their ages is 72. So what are the possible choices?

2, 2, 18 – sum(2, 2, 18) = 22 & 2, 4, 9 – sum(2, 4, 9) = 15
2, 6, 6 – sum(2, 6, 6) = 14 & 2, 3, 12 – sum(2, 3, 12) = 17
3, 4, 6 – sum(3, 4, 6) = 13 & 3, 3, 8 – sum(3, 3, 8 ) = 14
1, 8, 9 – sum(1,8,9) = 18 & 1, 3, 24 – sum(1, 3, 24) = 28
1, 4, 18 – sum(1, 4, 18) = 23 & 1, 2, 36 – sum(1, 2, 36) = 39
1, 6, 12 – sum(1, 6, 12) = 19

The sum of their ages is the same as your birth date. That could be anything from 1 to 31 but the fact that Jack was unable to find out the ages, it means there are two or more combinations with the same sum. From the choices above, only two of them are possible now.

2, 6, 6 – sum(2, 6, 6) = 14
3, 3, 8 – sum(3, 3, 8 ) = 14

Since the eldest kid is taking piano lessons, we can eliminate combination 1 since there are two eldest ones. The answer is 3, 3 and 8.

  2.             Question: Four people need to cross a rickety bridge at night. Unfortunately, they have only one torch and the bridge is too dangerous to cross without one. The bridge is only strong enough to support two people at a time. Not all people take the same time to cross the bridge. Times for each person:  1 min, 2 mins, 7 mins and 10 mins. What is the shortest time needed for all four of them to cross the bridge?

Answer:  The fastest way to get 1 across and be back is to use 2 to usher 1 across. So let’s put all this together.

1 and 2 go cross
2 comes back
7 and 10 go across
1 comes back
1 and 2 go across (done)

Total time = 2 + 2 + 10 + 1 + 2 = 17 mins

Think smart

A police officer saw a truck driver clearly going the wrong way down a one-way street, but did not try to stop him. Why not?
Ans :  The truck driver was walking.



A woman gave natural birth to two sons who were born on the same hour of the same day of the same month of the same year. But they were not twins and she had no access to a time machine. How could this be?
Ans :  They were two of a set of triplets (or quadruplets, etc.)


A New York city hairdresser recently said that he would rather cut the hair of three Canadians than that of one New Yorker. Why?
Ans :  Because he would earn three times as much money!

simple things to know

A man fell off a smuggling boat into deep water. He could not swim and he was not wearing anything to keep him afloat. It took 30 minutes for the people on the boat to realize someone was missing. The missing man was rescued two hours later on the return trip. Why didn't he drown?
Ans:
       He fell into the Dead Sea, which lies between Israel and Jordan. The water is so salty and dense that anyone in it floats very easily. Note: the maximum depth of the dead sea is 1,237' (377 m) and smuggling boats are known to use the dead sea to transport goods.





Many shops have prices set just under a round figure, e.g. $9.99 instead of $10.00 or $99.95 instead of $100.00 . It is assumed that this is done because the price seems lower to the consumer. But this is not the reason the practice started. What was the original reason for this pricing method?

Ans:

        The practice originated to ensure that the clerk had to open the till and give change for each transaction, thus recording the sale and preventing him from pocketing the bank notes.

logical questions

1. Three men in a cafe order a meal the total cost of which is $15. They each contribute $5. The waiter takes the money to the chef who recognizes the three as friends and asks the waiter to return $5 to the men.

The waiter is not only poor at mathematics but dishonest and instead of going to the trouble of splitting the $5 between the three he simply gives them $1 each and pockets the remaining $2 for himself.

Now, each of the men effectively paid $4, the total paid is therefore $12. Add the $2 in the waiters pocket and this comes to $14.....where has the other $1 gone from the original $15?

Ans : Though the initial bill was $15 dollars, one of the five dollar notes gets changed into five ones. The total the three men ultimately paid is $12, as they get three ones back. So from the $12 the men paid, the owner receives $10 and the waiter receives the $2. $15 - $3 = $10 + $2

2.You are trapped in a room with two doors. One leads to certain death and the other leads to freedom. You don't know which is which.

There are two robots guarding the doors. They will let you choose one door but upon doing so you must go through it.

You can, however, ask one robot one question. The problem is one robot always tells the truth ,the other always lies and you don't know which is which.

What is the question you ask?

Ans : Ask one robot what the other robot would say, if it was asked which door was safe. Then go through the other door.

Explanation : If we are asking the ques to robot A, either of the robots should say lie which means,

(Lie) robot B saying door B is safe,then robot A will say door A is safe = door A is safe

(True) robot B saying door B is safe,then robot A will say door B is safe = door B is safe

Todays question

Answer is 6
The reason is, visit the numbers in rows from left to right.The central number equals half to the sum of the numbers in either side.So half of 9+3 is 6.



2.How many sides does a decagon have?
   Answer : 10
   Hint : Decade represents 10 years similarly decagon have 10 sides.