Place the numbers

**1**through**9**in the circles below, such that each side of the triangle adds up to**17.**Fill Numbers |

**Find those circles filled here!**
Place the numbers **1** through** 9** in the circles below, such that each side of the triangle adds up to **17.**

**Find those circles filled here! **

Fill Numbers |

Just putting at

Correct Numbers in Blanks |

Emperor **Akbar** once ruled over India. He was a wise and intelligent ruler, and he had in his court the Nine Gems, his nine advisors, who were each known for a particular skill. One of these Gems was **Birbal**, known for his **wit** and **wisdom.**

The story below is one of the examples of his wit. Do you have it for you to find out the answer?

A**farmer** and his **neighbor** once went to Emperor **Akbar"s **court with a complaint. "Your Majesty, I bought a well from him," said the **farmer** pointing to his **neighbor**, "and now he wants me to pay for the water." "That"s right, your Majesty," said the** neighbor.** "I sold him the well but not the water!" The **Emperor** asked **Birbal** to settle the dispute.

Now it's very difficult to think what Birbal had in his mind at that time. Still you can give a try. How did** Birbal** solve the dispute?

**Read here how Birbal rescued the farmer**

The story below is one of the examples of his wit. Do you have it for you to find out the answer?

A

Now it's very difficult to think what Birbal had in his mind at that time. Still you can give a try. How did

By now the

With a pretty straight face

Only one of them was telling the truth, so who knocked over the monitor?

If we assume

That means

Similarly,

So only left with

Hence we can conclude that,

Suppose there are **twin** brothers; one which always tells the **truth** and one which always **lies.** What single **yes/no question** could you ask to either brother to figure out which one is which? (Condition is you can't ask question whose answer you already know. e.g. does earth rotate around the sun?)

**This should be that question!**

We should ask one question,

Now if the question is asked the

And if the question being asked to liar then he knows that his brother is going to say

So depending on what reply we get, we can easily identify the

It's pretty simple one. Nowhere it is mentioned that you have to make it as

10 & not allowed to make TEN. So three sticks from first, one from second &

2 from third gives us TEN.

However, we can make it as 10 as well. Removing 1 stick from first, 4 from

second & 1 from third produces 10.

A. The number of

One has to be

So the

Day 1: "I lie on

Day 2: "Today, it's

On which day does

Am I a liar? |

To find the truth we need to logical deduction here.

Now if statement on

And if

But he speaks true only on 1 day. So both statements of

In this case,

If the statement made on

So

A high school has a strange principal. On the first day, he has his students perform an odd opening day ceremony:

There are**one thousand lockers** and** one thousand students** in the school. The principal asks the **first student** to go to **every** locker and open it. Then he has asked the **second student** go to **every second **locker and close it. The** third** goes to every **third locker** and, if it is closed, he opens it, and if it is open, he closes it. The** fourth student** does this to **every fourth **locker, and so on. After the process is completed with the thousandth student, how many lockers are **open?**

**What principle was trying to teach? **

There are

While finding the solution we need to keep basic fact from the problem in mind. Since lockers were closed initially, the lockers which are

Now task is to find how many such lockers are there which were 'accessed' for odd number of times.

Let's take any number say

24 = 1 x 24

24 = 2 x 12

24 = 3 x 8

24 = 4 x 6

So factors are

Now let's take a look at lock no.

16 = 1 x 16

16 = 2 x 8

16 = 4 x 4

we get

Like this way, every lock with number which is

Now

Hence there would be

Lesson Of The Day |

So what lesson taught by strange principal? The number which is

BERLIN = 200 miles

PARIS = 300 miles

ROME = 400 miles

AMSTERDAM = 300 miles

CARDIFF = ?? miles

How far should it be to Cardiff ?

Just count Vowels

From

2V + 4C = 200

From

2V + 2C = 400

Solving

For

So

1. In which block is it?

2. Is the number even?

3. Is it a square?

After

Since

First thing is sure that, the number must not be a non-square otherwise Mr.House wouldn't be sure as there are plenty of non-square numbers between 1 to 50. So it must be either

-----------------------------------------------------------------------------------------

Two possible answers here & 2 possible conclusions.

------------------------------------------------------------------------------------------

2. Is the number even ?

Now had passer-by answered Block 1 in 1st question & odd now then Mr. House would have come to know one exact number

Or had he answered Block 2 in 1st question & even now then also

So in both cases,

That means the passer-by must have told following answers & their possible conclusions are-

Can you connect all **nine dots** with only **four straight **lines without losing contact with the paper while drawing?

**Read here how it can be done!**

** **

This question often asked in personality development training courses. It needs some out of box thinking. In the question, no where it is mentioned that you line can't go beyond

In the addition below, all digits have been replaced by
letters. Equal letters represent equal digits and different letters
represent different digits.

Note : Alphamatic in the title is word derived from Alphabets & Mathematics. In such problems numbers are replaced by alphabets. The challenge is to find the number for each alphabet satisfying given mathematics equation.

First of all let's write down the equation once again.

ABCABA

+

BBDCAA

+

ABEABB

+

ABDBAA

-------------------

AAFGBDH

We will refer to places in number from left as a first, second, third...sixth instead of tenth, hundredth, thousandth etc.

First we need to find if the 5 digits of first number itself i.e. ABCAB are carries forwarded from previous place.

From the addition of variable from first place, we get,

3A + B = 10A + A ........(1)

Only numbers satisfying above are **A = 1 & B = 8** , but at previous place we have addition of 4 B's. If B = 8, then addition at second place would be 32 with F = 2 & carry 3 which is not equal to A = 1. So A can't be a carry. So we need to modify (2) above as

If B = 1 or 2 then x = 0 as at second place we would have F = 4 or 8. In that case, A would be fractional. Some other possible combinations for B, A & x are,

B = 9, x = 3, 8A = 12,

B = 8, x = 3, 8A = 10,

B = 7, x = 2, 8A = 9,

This is the only combination that can make A a whole number. So **A = 1, B = 6.**

---------------------------------------------------------------------------------------------

From sixth place, we have,

---------------------------------------------------------------------------------------------

From fifth place, we have,

D = 2A + 2B = 14

But it has to be single digit i.e.** D = 4** with 1 carry forwarded to next.

---------------------------------------------------------------------------------------------

From fourth place,

B = 2A + B + C + 1 .....1 is carry from last place.

6 = 9 + C

Now C can't be negative hence C + 9 has to be 2 digit number with 6 at last digit.Since addition of 2 single digit numbers never exceeds 18, C + 9 has to be 16.

gives, **C = 7** & carry 1 forwarded to third place.

-------------------------------------------------------------------------------------------

An
American nightclub called **'The Coconut Grove'** had a terrible fire in
which over 400 people died. A simple design flaw in the building led to
the death toll being so high. Subsequently, regulations were changed to
ensure that all public buildings throughout the country eliminated this
one detail which proved so deadly.

This is based on a true story:

The doors at the

How much

He brought

Two** newly** launched firms started manufacturing **soaps** in their production unit. After few day, both started facing the** same issue.** Few soap wrappers were remaining** empty** without soaps within those. Both manufacturers asked their employees to find** solution** on this. Employees of one firm did lot of **research & developed** a **machine** to detect the empty wrappers. For that they invested lot of time & money. While employees of competitor were smart & just brought **one thing** from the market & solved the problem.

What was that thing?

**Know here what did they bring?**

What was that thing?

The employees of other firm were smart. They just brought

Once a teacher asked student the question that **Akbar** once has asked to** Birbal.** Teacher drawn **a line** on a paper with pencil & **posted paper** on a** board.** He asked students to make the line **shorter** without erasing by **eraser** or extending it with **pencil.**

One of the student who knew that story of** Akbar - Birbal** came & just draws another **bigger line** ahead of previous line. Now the other line looked **shorter.**

Now teacher decides to**trick** the students.* 'Now without touching any line it make left line longer & right line shorter', *he asks further.

The student was smart & just** rotated** the paper upside down. That way, now left line looked** longer** & right one **shorter!**

One of the student who knew that story of

Now teacher decides to

There is a** circular
race-track** of diameter 1 km. **Two cars A** and** B** are standing on the track
diametrically **opposite** to each other. They are both facing in the
**clockwise direction.** At **t=0,** both cars start moving at a **constant**
acceleration of **0.1 m/s/s** (initial velocity zero). Since both of them
are moving at same speed and acceleration and clockwise direction, they
will always remain diametrically opposite to each other throughout their
motion.

At the center of
the race-track there is a **bug.** At **t=0,** the bug starts to fly towards
**car A.** When it reaches **car A,** it turn around and starts moving towards **
car B.** When it reaches **B,** it again turns back and starts moving towards**
car A.** It keeps repeating the entire cycle. The speed of the bug is **1
m/s** throughout.

After **1 hour**, all **3 bodies** stop moving. What is the total distance traveled by the bug?

Everything built, written or designed in the given problem is to distract you from basic physics formula.

Hence,

All the details given except speed of bug & time for which it traveled are there to confuse you. Speed of bug is 1 m/s & it traveled for 1 hour = 3600 seconds.

So the total distance traveled by the bug is

An old farmer died and left **17 cows **to his
three sons. In his will, the farmer stated that his **oldest son** should
get** 1/2,** his **middle son **should get **1/3,** and his **youngest son** should get
**1/9 **of all the cows. The sons, who did not want to end up with half
cows, sat for days trying to figure out how many cows each of them
should get.

One day,
their neighbor came by to see how they were doing after their father's
death. The three sons told him their **problem.** After thinking for a
while, the neighbor said: "I'll be right back!" He went away, and when
he came back, the three sons could **divide** the cows according to their
**father's will,** and in such a way, that each of them got a **whole** number
of cows.

Neighbor went & brought a

A man works at an** aquarium.** Every day he spends a large chunk of his
time trying **to stop **people from **tapping on the glass **at the** shark tank.**
Finally, fed up with it, he comes up with **a solution.** The solution works
perfectly, the next day **no one** taps on the glass. However, he is fired
for it.

What was the man’s solution?

**Read here that solution! **

What was the man’s solution?

The man did just a little trick. He painted a

A man in depression decided to commit suicide. He started walking along a** railway track** when he spotted an **express train
** speeding** towards** him. Suddenly he **changes** his mind & decides** not to suicide.** To avoid it, he **jumped off the track**, but before
he jumped he ran **ten feet towards the train.**

Why?

**Why did he do so? Click here to know!**

Why?

Since the man was firm on

Hence he ran

You have **10 bags** of **gold coins**.You have appointed 1 servant to carry each bag. One of your servants who
were responsible for** transport of the money** wanted to trick you. He
took one of the bags and filed away **one gram** of gold from each
coin. One coin normally weighs **10 grams.**

Can
you figure out in one scaling which bag contains lighter coins? Which
servant should be fired? – using digital scales (shows the exact weight
of an item)?

**Trick to get down the culprit! **

We need to take coins from each of 10 bags to test.

Depending on how many gm less than 550 gm it weighs the bag with manipulated coins can be identified & respective servant can be fired.

A man is the owner of a winery who recently passed away. In his will, he left **21 barrels** (**seven** of which are **filled** with wine, **seven** of which are** half full**, and** seven **of which are **empty**) to his **three sons.** However, the wine and barrels must be split, so that each son has the** same number of full barrels,** the **same number of half-full barrels,** and the** same number of empty barrels.**

Note that there are no measuring devices handy. How can the barrels and wine be evenly divided?

**This is how it can be done?**

Note that there are no measuring devices handy. How can the barrels and wine be evenly divided?

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