Built 4 & 6 Equilateral Triangles Using 6 Sticks

Do you need to read question?

First one is pretty simple. All you need to draw a square with two diagonals. Remember rectangle will not make equilateral triangles using it's diagonals.

4 Equilateral Triangles

For the next one, form 2 equilateral triangle using 3 sticks each. Now superimpose the second one on first but upside down like below.

6 Equilateral Triangles

What Is () + () + () = 30?

What is () + () + () = 30?

Fill in blanks with 1,3,5,7,9,11,13,15.

You can also repeat the numbers. 

 Here is probable answer! 

Probable Numbers in () + () + () = 30

What's the question?

Addition of 3 odd numbers can't be even number. Here you have to do the same bringing 30 in result. So you need to do some trick. There are number of possible answers given to this question. Let's see what most common answers given.

1. Using factorial !

3! + 9 + 15 = 30.

2. Using decimal points.

11.3 + 15.7 + 3 = 30.

3. Changing base of numbers.

Assuming it in base 9 numbers,

9 + 9 + 9 = 30.

If we assume ! is allowed as in (1) which can be represented in other way,

(3x2x1) + 9 + 15 = 30

Now some body other replace that bracket with simple addition within it like,

(5+7) + 11 + 7 = 30

or

(15-13) + 15 + 13 = 30

This has to be valid as well & number of such possible combinations are valid!
 
Using decimal point is another form of this trick!

(11 + 3/10) + (15 + 7/10) + 3 = 30
 
In every above trick it's assumed that addition, multiplication, division, subtraction allowed within the bracket!
 
For the change of base, I think they would have written it in subscript of 30 otherwise infinite number of answers again. Like, if we assume it in base 5 then,

13 + 11 + 1 = 30.
 
I think, only answer with less questions is leaving first space blank & write,

+ 15 + 15 = 30

where first '+' is unary sign used to represent positive number while second one is operator for addition. Again, this comes with assumption that using only 2 numbers allowed as it's specifically not mentioned in question that you have to use all 3 numbers.

Probably this is the answer expected otherwise we need to call the creator of this for what he/she is expecting!

Magic To Reveal Age By Phone Number.

This message gone viral on whatsapp!

YOUR PHONE NUMBER. WILL REVEAL YOUR AGE.

 AMAZING -AMAZING-AMAZING

 Your Phone number will reveal your actual Age.
I do not know who discovered this?
         but it is...Really accurate.

It will take about 15 seconds,
read and do it at the same time so that you will not lose the fun.

1- Take a look at your last digit of your cell phone number

2- Use this figure and multiply by 2

3- Then add 5

4- And then multiply by 50

5-And then add the number 1766.

6- Add bonus 1 if you have celebrated your birthday this year.

7- The last step; with this number, subtract your birth year.

  First digit is  your number and last digits tell your age.

Magical Maths

Magic demystified here! 

Maths Magic Demystified.(Age By Number)

What was the magic?

Let's assume the last digit as 'x'. Now let's go step by step & see how this x is processed.

1- Take a look at your last 4 digit of your cell phone number

x

2- Use this figure and multiply by 2

2x

3- Then add 5

2x + 5

4- And then multiply by 50

50(2x+5) = 100x + 250

This puts the your mobile number's last digit at hundredth place.

5-And then add the number 1766.

100x + 250 + 1766 = 100x + 2016

6- Add bonus 1 if you have celebrated your birthday this year.

100x + 2017

7-The last step; with this number, subtract your birth year.

100x + 2017/2016 - birth year

  
How we calculate our age? If we have already celebrated birthday while calculating age, we take (current year - birthday year) or otherwise (previous year - birthday year). The simple equation applied here as well.

The Shopping Challenge

At a stationary shop, shopkeeper sells notebook at Rs.15, Pen at Rs.1 & Eraser at Rs.0.25. You are asked to purchase 100 objects & you are given Rs.100 note. 

So how many notebooks,pens & erasers would you buy?

Shopping Challenge

Here is what should you do! 

Taking The Shopping Challenge

What was the problem?

Let N = number of notebooks, P = number of pens & E = number of erasers.

From the given maths we get 2 equations as,

N + P + E = 100................(1)

15N +1P +E/4=100…....(2)
 
From (1),

P = 100 - N - E

From (2),

60N + 4P + E= 400

60N + 4(100-N-E) + E = 400

60N + 400-4N-4E + E = 400

56N - 3E = 0

56N = 3E

N/E = 3/56

From the ratio, we get, N=3, E=56.

Putting these in equation (1),

We get,

P=41.

So we should buy 56 erasers,41 pens & 3 notebooks to satisfy the given condition. 

Can You Find The Sheep Among The Santas?

Find The Sheep

Here it is spotted!

The Sheep Among Santas Spotted

Location of Sheep

Question is here!

मराठी म्हणींचा रंगतदार खेळ

आजचा खेळ थोडा गमतीचा आहे
म्हणी ओळखायचा
अद्याक्षरे दिलेली आहेत तुम्ही दिलेल्या अद्याक्षरावरून म्हणी ओळ्खयच्या आहे

उदा. अ ते मा -- अति तेथे माती.

👇👇👇👇👇👇👇👇👇👇👇👇👇👇👇👇👇

उत्तरांसाठी इथे टिचकी मारा !


👆👆👆👆👆👆👆👆👆👆👆👆👆👆👆👆👆

१. दे दे दं
२. चो म चां
३. व ते वां
४. पु पा मा स
५. ए ना ध भा चिं
६. आ बि ना
७. अ ना गा पा ध
८. उं मां सा
९. झा मु स ला
१०. वा लं गा श
११. आ जी बा उ
१२. न फुं सो इ ति गे वा
१३. मा म मा ज
१४.दा क का
१५. घ मा चु
१६. इ आ ति वि
१७. न ल स वि
१८. क ना त्या ड क
१९. आ अं घे शिं
२०. ए  गा बा भा

चला सुरू करा .....!!!

👇👇👇👇👇👇👇👇👇👇👇👇👇👇👇👇👇

उत्तरांसाठी इथे टिचकी मारा !


👆👆👆👆👆👆👆👆👆👆👆👆👆👆👆👆👆

👉  अगदी असाच मराठी गाणी ओळखायला लावणारा मनोरंजक खेळ...!

नक्की वाचा - 👉 जावयाची अंगठीची अजब मागणी आणि त्यावर सोनाराने लढवलेली शक्कल !

👉 हा  MPSC मध्ये विचारला गेलेला प्रश्न  सुटतो का पहा!
 
👉 गोष्ट विषमासूर नावाच्या राक्षसाची आणि त्यातून वाचलेल्या माणसाची !

👉 असं म्हणतात  गुगलच्या मुलाखतीत (Interview) मध्ये ' हा ' प्रश्न
विचारला गेला होता. बघा तुम्हाला सुटतो का ?

आद्याक्षरावरून मराठी म्हणी

पण काय होता हा खेळ ? 

ओळखल्या बरं का सगळ्या म्हणी....... पण.......

१. दे दे दं                 - देखल्या देवा दंडवत

२. चो म चां            - चोराच्या मनात चांदणे

३. व ते वां              - वड्याचे तेल वांग्यावर

४. पु पा मा स        - पुढचा पाठ मागचा सपाट

५. ए ना ध भा चिं  - एक ना धड भाराभर चिंध्या

६. आ बि ना         - आयत्या बिळात नागोबा

७. अ ना गा पा ध  - अडला नारायण गाढवाचे पाय धरी

८. उं मां सा          - उंदराला मांजर साक्ष

९. झा मु स ला     - झाकली मुठ सव्वा लाखाची

१०. वा लं गा श    - वासरात लंगडी गाय शहाणी

११. आ जी बा उ  - आयजीच्या जीवावर बायजी उदार

१२. न फुं सो इ ति गे वा  - नळी फुंकली सोनारे इकडून तिकडून गेले वारे

१३. मा म मा ज   - माय मरो मावशी जगो

१४. दा क का       - दाम करी काम

१५. घ मा चु        - घरोघरी मातीच्या चुली

१६. इ आ ति वि   - इकडे आड तिकडे विहीर

१७. न ल स वि     - नकटीच्या लग्नाला सतराशे विघ्न

१८. क ना त्या ड क  - कर नाही त्याला डर कशाला

१९. आ अं घे शिं      - आली अंगावर घे शिंगावर

२०. ए  गा बा भा      - एक गाव बारा भानगडी

पण आंतरजालाच्या (Internet) थोड्या फार (च) मदतीने!

खरंच विचार करायला लावणारा खेळ....!

👉  अगदी असाच मराठी गाणी ओळखायला लावणारा मनोरंजक खेळ...!

नक्की वाचा - 👉 जावयाची अंगठीची अजब मागणी आणि त्यावर सोनाराने लढवलेली शक्कल !

👉 हा  MPSC मध्ये विचारला गेलेला प्रश्न  सुटतो का पहा!
 
👉 गोष्ट विषमासूर नावाच्या राक्षसाची आणि त्यातून वाचलेल्या माणसाची !

👉 असं म्हणतात  गुगलच्या मुलाखतीत (Interview) मध्ये ' हा ' प्रश्न
विचारला गेला होता. बघा तुम्हाला सुटतो का ?

Gold For Every Date

Once Mandar forgot his mother in law's birthday. Obviously, as a universal rule, he got the punishment. His wife ordered, I want you to present gold weighing equal to date of day on which my mother would surprise visit to our home.

Now Mandar went to jeweler & ordered only 5 gold coins of different weights. What are the weights of those gold coins?

This is how he does! 

Gold For Every Date Designed Smartly

What was that intellectual puzzle? 

On whichever date she visits, he just presents those coins under which 1 is written. For example, if she visits on 25, he would give her coins weighing 16,8 & 1. And if she visits on 18, he would present her coins weighing 16 & 2! Great use of binary number system!

Proof 2+2=5

Proof 2 + 2 = 5

I think this is the misstep!

Equating Negative Number To Positive Numer

Proof : 2 + 2 !=5

Look what is done under square roots in red rectangles. At first, 4 - 9/2 = - 1/2 is squared to 1/4 & at second while taking square root of same 1/4, it's taken as + 1/2. So -1/2 converted to +1/2 by squaring followed by taking square root. This is certainly not 'fair' mathematically!

Actually square root of (5-9/2)^2 should have been - (5-9/2) = - 1/2!

Here is that attempt! 

Proof 2 = 1

Can you figure out misstep in above?

Here it is figured out! 

How Proof : 2 = 1 is Wrong

What was allowed?

Since a = b, then a - b = 0.

So we can't divide both sides by (a - b) on both sides to eliminate (a -b) since division by 0 is not defined or infinity!

Non-Zero Number Using Only Zeros

The challenge is bringing 120 on other side of = using only 0 s. You are not allowed to use any number from 1 to 9 but allowed to use +, -, x, / .However you can use any number of zeros!

How it could be?

Challenge accepted here! 

Non-Zero Output Using Zero Input

What was the challenge?

All you need to use ! here like below.

(0! + 0! + 0! + 0! + 0!)! = 120.

Unfair Loss in Savings of Life

On his 20th birthday, Ajay started depositing Rs.500 in his saving box. His brother Vijay used to withdraw Rs.100 from the same box on his birthday every year. On his 60th  birthday, Ajay opens his box & finds only Rs.1000 in it.

How this could be possible?

Ajay & Vijay

This is how it's possible 

Having Birthday On Leap Day

What was looking impossible?

Since Ajay celebrates his birthday on 29th February, he used to deposit Rs.500 in saving box once in 4 years. From age 20 to 60, he celebrated only 10 birthdays saving only 500 x 10 = 5000. 

But Vijay withdrawing Rs.100 every year means he took 100 x 40 = 4000 so far.

That's why only 5000 - 4000 = 1000 left in the box.

Just To Test Your Common Sense

Below are four (4) questions and a bonus question. You have to answer them instantly. You can't take your time, answer all of them immediately. Okay?

  
Let's find out just how clever you really are .

 

Ready?

GO!!! 

Question 1 :

You are participating in a race. You overtake the second person. What position are you in?

Question 2 :

If you overtake the last person, then you are...?

Question 3 :

Very tricky math! Note: This must be done in your head only. Do NOT use paper and pencil or a calculator. Try it.

   
Question 4 :

Mary's father has five daughters: 1. Tana, 2. Tene, 3. Tini, 4. Tono. What is the name of the fifth daughter? 

Bonus Question :

There is a mute person who wants to buy a toothbrush. By imitating the action of brushing one's teeth he successfully expresses himself to the shopkeeper and the purchase is done.

Now if there is a blind man who wishes to buy a pair of sunglasses, how should he express himself?

View your results here! 

 

Verify Answers of Common Sense Test

Here is the TEST! 

Answer 1: If you answered that you are first, then you are absolutely wrong! If you overtake the second person and you take his place, you are second!
 
Answer 2: If you answered that you are second to last, then you are wrong again. Tell me, how can you overtake the LAST person!
 
Answer 3: Did you get 5000? The correct answer is actually 4100.
Don't believe it? Check with your calculator! Today is definitely not your day. Maybe you will get the last question right?

Answer 4: Tunu?
NO! Of course not. Her name is Mary. Read the question again.

Bonus Answer : He just has to open his mouth and ask, so simple

'Sabrina and Samantha' Brain Teaser

Sabrina gave Samantha as many dollars as Samantha started out with. Samantha then gave Sabrina back as much as Sabrina had left. Sabrina then gave Samantha as back as many dollars as Samantha had left, which left Sabrina broke and gave Samantha a total of $80.00. 

How much did Sabrina and Samantha have at the beginning of their exchange?

Find here how much! 

Initial Amount Sabrina & Samantha had

But what was that? 

This could be solved using simultaneous equations but going in reverse makes it easy.

At each stage, one's money is doubled. At last stage, Samantha doubled money to 80 by receiving 40 from Sabrina. So both had 40 before that.

How Sabrina had 40? Since Samantha gave her 20 at previous transaction. So Samantha had 40+20=60 & Sabrina had 20 before this transfer. 

And how Samantha had 60? Since she received 30 from Sabrina at previous transfer. So Sabrina had 30+20=50 & Samantha had 30 before the transfer.

Hence at start , Sabrina had 50 & Samantha had 30!

Probability of Correct Package Labeling

Brad Doe works for a packaging company. One day, he received four separate orders and accidentally mixed up the addresses, so he applied the
address labels at random. 

What is the probability that exactly three packages were correctly labeled?

Labeled Packages

 Skip to answer! 

Common Sense in Finding Probability

Why this question?

Answer is 1!

If three are correctly placed fourth has to be. There are only 4!

Would You Help This Farmer ?

A farmer had 25 cows. To identify easily he numbered them from 1 to 25. Interestingly, each cow produces liters of milk equal to the respective number given. For example, a cow numbered 5 gives 5 liters of milk or a cow numbered 18 produces 18 liters of milk. Now that farmer had 5 sons. Farmer wants to share those 25 cows among his 5 sons with each son getting 5 cows. But he wants to make sure each son would get equal amount of milk.

How should he make 5 groups of cows to distribute among his sons?

Please, Help me!

This is what farmer need to do! 

Fair Distribution of Farmer's Cows

What was the interesting?

First let's name 5 sons as A,B,C,D & E. Now look at the image below.

Just collect numbers surrounded by same shapes. If you observe carefully answer, a difference of 4 created at one place which is compensated at other 4. Each son would be getting 65 liters of milk.

Fair Distribution of Cows

Man Walking on Moving Escalator

 A man can walk up a moving "up" escalator in 30 seconds. He can walk down this moving "up" escalator in 1-1/2 minutes. If his walking pace is the same going upstairs as downstairs, how long would it take him to climb the escalator if it was stationary? How long would it take him to go up the moving escalator if he stood still?

Calculated here! 

Man on Stationary Escalator

What was asked to calculate? 

Let L = length of stair , M = Man's speed & E = Elevator's speed.

Let's remind what we have learned in our school days.

Speed = Distance/Time

i.e.

Distance = Speed  x  Time

While moving 'up' along with upward moving elevator, 

30(M+E) = L     ......(1)

While moving 'down' against 'upward' moving elevator, man's speed has to be faster than elevator's speed so that he can reach down at the stair. Otherwise he would never reach down always falling short.

90(M-E) = L    .......(2)

From (1) & (2), we get,

30M+30E=90M-90E

60M=120E

M=2E     .....(3)

E=M/2    .....(4)

Putting (3) in (1),

45M=L

M=L/45    

(Speed=Distance/Time)

Hence man alone needs 45 seconds to climb up that stationary elevator.

Stationary Escalator

Putting (4) in (1), gives,

E=L/90

(Speed=Distance/Time)

So elevator needs 90 seconds to push standing man up.

Solve this Murder case (challenge)

Solve this Murder case (challenge)..

Near Mumbai

A man was found murdered on 9-11-2016 Wednesday afternoon at 12.35 PM in his house...... His wife called police at 3:23 PM.

Police questioned everyone..

Wife: I was sleeping..

Son: I went for movies with my gf

Neighbor: We went for the marriage..

Driver: I went to ATM withdraw cash..

Cook: I went to Wine shop to buy Wine..

Gardener: I was in garden the whole time. I didn't hear anything.
.
Watch Man: I went to my relative's Marriage..

Police arrested the murderer immediately..

Who was it? 

Find who was that here! 

Murder Mystery Investigation

But what was the case? 

Driver was the murderer!

He must be lying as ATMs were closed on 9-11-2016 after note demonetization in India.

 

Just A Spare Thought...

I always had this concept in my mind but absolutely no idea whether it's possible or not.

We know, light takes 8 minutes 20 seconds to travel from Earth to Sun. So if we are looking at Sun at any time it's 8 minutes 20 seconds old. Now if we place a very high power camera with a great optical zoom at few light years say 10 years from Earth & zoom at Earth then wouldn't it possible to observe what was going on Earth 10 years ago? Wouldn't it be a time machine only difference it's not taking us physically at that time.

I know it would be literally impossible to place such camera but who had thought communications without wires few centuries ago! Just a crazy thought shared.

Make Dog To Look In Opposite

Challenge here is that you need to make dog to look at opposite direction by just moving only 2 match sticks.

Here I moved those!  

Now Dog Looking In Opposite

 

What was the challenge?  

Analyse The Pattern

If,

5 + 3 + 2 = 151012

9 + 2 + 4 = 183662

8 + 6 + 3 = 482466

5 + 4 + 5 = 202504.

Then,

7 + 2 + 5 = ??????

  
Answer is here! 

Analysis of The Pattern

Find the question here! 

Let's try to put it in mathematical equation, 

a + b + C

1. First two digits of answer is product of first two digits a & b i.e. ab.

2. Next two digits of answer are formed by product of first & last digits i.e. a & c = ac.

3. For last two digits of answer, first & last digits are added & then multiplied by second 

 digit like (a+c) × b = cd. Now the places of digits of results are interchanged as dc.

With the same logic applied,

  7 + 2 + 5 = 143542.

Why Do People See The World Differently?

Left Vs Right

This is what I think..... 

Fake Test - Perception Psychology.

What was the test? 

There are neither 3 or 4 but actually only 2. Front face of middle one is missing. Instead a faces are inserted between 1 & middle also 2 & middle at front end. That's how optical illusion created there!

Reality of Left Vs. Right

How Many Tigers In The Picture?

Count tigers

 

And here is attempt to count those!  

Tigers In Picture Pointed & Counted

There are 15 or may be 16!

What was the task given? 

For faces marked with red circle , you need to zoom in.....Few might not count face marked with pink circle while others may claim that face hidden behind the leaves...!

 

Tigers Pointed