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If 10x11x12 = 9 Number puzzle

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Number Puzzle #162
if-10x11x129
10×11×12=9
11×12×13=9
12×13×14=9
13×14×15=9
14×16×20=?

Check your answer:-

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To solve this, replace a n digit number by adding all digits, and solve, keep on repeating it until you get single digit.

10×11×12={(1+0)×(1+1)×(1+2)}^2 =6^2=36=3+6=9

11×12×13={(1+1)×(1+2)×(1+3)}^2 =24^2 =(2+4)^2=36=3+6=9

12×13×14={(1+2)×(1+3)×(1+4)}^2 =60^2 =(6+0)^2 =36 =3+6=9

13×14×15={(1+3)×(1+4)×(1+5)}^2 =120^2 =(1+2+0)^2 =9

14×16×20={(1+4)×(1+6)(2+0)}^2 =70^2 =(7+0)^2 =49 =4+9=13=1+3=4

Three blue and two red hats puzzle

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3-blue-and-2-red-hatsAt a party, four people played a game. Three of them sat one behind the other, so that Abe saw Bill and Cal, and Bill only saw Cal, who sat in front and saw nobody else.

Dave had 5 hats which he showed to his three friends. Three of the hats were blue and two were red.

Now Dave placed a hat on the head of each of his three friends, putting aside the remaining two hats.

Then he asked Abe what color his hat was.

Abe said he couldn’t tell.

Bill was asked the color of his own hat, but he didn’t know for certain either.

Cal, though he couldn’t see any hat at all, gave the right answer when asked what color his hat was.

Do you know what color Cal’s hat was and how he reasoned to find out the correct answer?
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What could be the dates ?

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One guy had a habit of spending the money as per the day of the month, for example he will spend $18 on 18th of the month.

Once he spent, $63 in continuous 5 days, What could be the dates ?

 

What was the first day ?

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Case 1)
lets assume all the days were of the same month, in that case
x + (x+1) + (x+2) + (x+3) + (x+4) = 63
5x = 53
x is coming out to be in decimal, which can not be

Case 2)
now the other possibility is such that month changes after some days

thus there can be few possibilities

A) x + (x+1) + (x+2) + (x+3) + 1 = 63

4x = 56 => x = 14, but 1st cant come after 17th, so it is ruled out

B) x + (x+1) + (x+2) + 1 + 2 = 63
3x = 57 => x = 19, but again 1st cant come after 21, so it is ruled out as well

C) x + (x+1) + 1 + 2 + 3 = 63
2x = 56 => x = 28, this is possible for the month with 29 days, i.e. February of leap year

so thee dates were 28,29,1,2,3

Paradox Dragons

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dragon paradox

I met three dragons. One always tells the truth, other one always lies and the last one alternates between lie and truth.

Dragon 1: You may ask us one question, then you must guess which dragon is which

Dragon 2: He’s lying. You may get three questions

Dragon 3: Oh no. It’s definitely one question

I asked the first dragon a question

Me: What would the second dragon say if I were to ask it if the 3rd dragon had been lying when it agreed with the first one that I could ask only one question

Dragon 1: He’d say, “Yes, the 3rd dragon was lying”

Then I asked a second question addressing the three dragons…… But they remained silent.

And, I solved the puzzle in 90 sec.

So, which dragon is which?

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Keep Moving

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Number-Puzzle-#128,-Keep-moving
What comes next? Explain.

1, 3, 6, 10, 3, 9, 4, 12, 9, 7, ?, ?

Check your answer:-
First Number
<p style=”text-align: center;”>
Tried enough already?
</p>
Next Number
<p style=”text-align: center;”>
Tried enough already?
</p>
Click here to See Solution

Answered by Asokan

The limiting number in this series is 12
whenever the number becomes more than 12, 12 is deducted from this
1
1 + (2) = 3
3 + (3) = 6
6 + (4) = 10
10 + (5) = 15 – 12 = 3
3 + (6) = 9
9 + (7) = 16 – 12 = 4
4 + (8) = 12
12 + (9) = 21 – 12 = 9
9 + (10) =19 – 12 = 7
7 + (11) =18 – 12 = 6
6 + (12) =18 – 12 = 6

Find celebrity in the party

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There are (n+1) people in a party, they might or might not know each others names.

There is one celebrity in the group(total n +1 people), celebrity does not know any of n peoples by name and all n people know celebrity by name.

You are given the list of people’s names(n+1), You can ask only one question from the people. Do you know this name ?

How many maximum number of questions you need to ask to know the celebrity name?

Note: assume all names are unique. and you know the persons by name(but don’t know if he is celebrity)

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The Magic 6

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Number Puzzle #95

Objective:
Make 8 8 8 = 6

Rules:

U can use any mathematical symbol which doesn’t include any numbers.
ex:- u can use +,-,/,! etc.. but u cannot use cube roots which include a number.. and no power can be given.

Go on try it out…

Click here to See Solution
8!!/8*8 = 6 .

8 !! is double factorial which goes as 8*6*4*2

soln by Ramesh

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