~Sandeep~ 12 years AGO

There has been so much of good information been shared on Perfect Square by everyone that we can write a encyclopedia article on it.....Admin Sir are you listening or do we need to elaborate more on this..

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Bimal 12 years AGO

This depends on the way you (or your source) define the term "square number." Some sources define a square number as any number that is the square of an integer. By this definition, zero is indeed a square number, because 0 = 0^2 and zero is an integer.

Others define a square number as any number that is the square of a
natural (or counting) number. The natural numbers are the set of all integers greater than or equal to one. Since zero is not considered a
natural number (and no other natural number squared equals zero), zero would not be considered a square number using this definition.

This second definition has more of a "geometric" interpretation.
Imagine measuring the area of a square that is n units on a side.
If n = 0, you don't really have a square to begin with - you have nothing. In ancient times mathematicians didn't count zero (or even
have a symbol for it) because they used numbers to represent physical measurements, and a physical object couldn't have a measurement of
zero.

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Inder 12 years AGO

@ vignesh,

If you read the question like that , then there is no possible answer which can be given to all the questions
as the statement says
'the total number of possible answers to all the questions is'.

Please think on practical lines .
Sometimes mathematicians have to ignore grammatical errors wherever possible.

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~Sandeep~ 12 years AGO

No I didn't say that Niru. :)
This is just true as per one of the definition.
I will say it is something which is not clear, some people consider it as Perfect Square and some do not.
Considering these facts the request was to avoid asking such questions as part of daily puzzle, and in this case marks should have been given to all who have answered 1 as well.

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niru 12 years AGO

@sandeep
ok sandeep i understood your explanation
then it is sure that zero is not a perfect square?

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Virendra Sihag 12 years AGO

Admin plz justify the 17th April question.
Zero is perfect square or not??

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Vignesh 12 years AGO

@ Dipin,

Thanks for reply. But one doubt.
In that question, they asked only possiile answers to all the questions. Didn't ask possible "combinations" of answers know.. So, answer would be

23 possible answers only know.

First four questions have 12 possible answers.(Each have 3 possible answer =3*4)
Next three questions have 06 possible answers.(Each have 2 possible answer =2*3)
Last one have 05 possible answers. (It have 5 possible answers)

So, (3*4)+(2*3)+(1*5) = 12+6+5 = 23 possible answers.


If I wrong means, please correct me..

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DIPIN 12 years AGO

@ Vignesh ,

If u mean this puzzle:

an examination paper consists of 8 questions of which 4 have 3 possible answers each,3 have 2 possible answers each and the remaining one question has 5 answers.the total number of possible answers to all the questions is

For 1st 4 qns, there are 3 possible answers.
So possible combinations for these 4 qns are 3^4.

Next 3 have 2 possible answers each .
possible combinations are 2^3.

remaining one question has 5 answers. means 5 options

so total possible combinations of answers are
(3^4)*(2^3)*5= 81*8*5 = 3240

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Vignesh 12 years AGO

@ All,

Please anybody explain the solution for puzzle (#M40008948) in the Placement Puzzle section.

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niru 12 years AGO

@sandeep
itself zero is in square if u write it alone

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mcj 12 years AGO

hi admin..how can you said that zero is perfect square..it is not a perfect square..please provide the reasonable solutions..thank you.

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~Sandeep~ 12 years AGO

O being a perfect square or not seems to be a debatable topic. I agree that lot of mathematicians consider it as Perfect Square but still there are considerable number of mathematician who don't consider 0 as perfect square.
As per the wiki link given by admin:
"The number m is a square number if and only if one can arrange m points in a square"
Again with this definition I don't know how to arrange 0 points in square.
Not sure why can't we have less controversial questions as part of daily puzzle?

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niru 12 years AGO

i also want to know that is a zero a perfect square ......
and if it is then there will be ans 2 have x=6 and x=0 ,,,,,,therefore the ans x=12 is i dont think right

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Balakumaran N.A 12 years AGO

only x= 6 is possible... 72 - 36 = 36 (perfect square)

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Balakumaran N.A 12 years AGO

Dear Admin,

I agree with Rakesh, Karthick babu... Please check on this...

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Karthick Babu 12 years AGO

Is it zero a perfect square? for 17th Apr puzzle

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manish kumar 12 years AGO

hey admin
i think the answer for the question which was asked today is 1
bcs 0 is not the square no. and its controversial
see this
http://mathforum.org/library/drmath/view/57171.html
plz give us points ... our answers are also correct.

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dineshv 12 years AGO

Hi admin

Can you please elaborate the 17/03 solution.
thanks in advance,waiting for your reply

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~Sandeep~ 12 years AGO

Great going Pragat :)

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Pargat Pal Singh 12 years AGO

Dear Admin,

Is anyone checking the solutions of placement puzzles?
These are still marked unsolved.

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Vignesh 12 years AGO

@ Govind

Not try to match. Try to beat(lead) Niru:-)

It also usefull for all know!! Thanks:)

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Vignesh 12 years AGO

@ Pargat

U doing a fabulous work in this site. Solving most of the puzzles which post by us.
Really great You are..

I wonder of You. Don't know how you able to solve all those.Really nice:-)

Congrats n keep rocking..

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bharathiraja 12 years AGO

super

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Govind 12 years AGO

Vignesh is also trying to match Niru.

Keep it up.

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niru 12 years AGO

thanks dipin,vignesh

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Vignesh 12 years AGO

Great Job Niru. Keep going. Congrats.

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DIPIN 12 years AGO

Congratulations, Niru.

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niru 12 years AGO

thanks for ur reply

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niru 12 years AGO

sir,sorry to say this but im the first who submitted 300 puzzles but acc. to ur prize rule u didnt response at all plz ......solve my query

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Trav 12 years AGO

In checking 1/x + 1/y = 1/205, I get 17 ordered pairs
x = -41820, y = 204
x = -8200, y = 200
...
x = 42230, y = 206
Must have missed something here

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Virendra Sihag 12 years AGO

I am talking about today's(4th April) question.
Why are you asking these type of lengthy question because they don't have any trick. Please ask some tricky questions.

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Vignesh 12 years AGO

@ Admin,

Thanks for awarding marks for me and all who chose option 4)26 on 02.04.2012 Puzzle:-):-)

Its Nice:-)

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~Sandeep~ 12 years AGO

I believe 0 is considered as non negative integer, Keeping my fingers crossed :).

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amritpal singh 12 years AGO

Oh No!

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Vignesh 12 years AGO

Oh No!

For Yesterday's(April 02, 2012) puzzle,

Find the next number
9, 16, 21, 24, ?

I thought answer will be 26(Option 4).
But it is 25(option 1.):-((

I thought that the given series was increasing by consecutive Prime Numbers(Reverse) from 7. (i.e, 7 5 3 2 1 like that)

9 +7 = 16
16 +5 = 21
21 +3 = 24

24 +2 = 26.

So sad:-(

K. Anyhow, Congrats for those who getting points:-)

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dhiresh 12 years AGO

Dear Admin,
I have an issue regarding awarding point system for today's puzzle system of yesterday(2nd april)
I submitted the right answer within 00:01:13,still i got 14 only and it is showing in last.
I think,it happened by automated point awarding system.
So, please keep updating your system and verify once before posting the result.You provide answer after hours then why such mistake?

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bharathiraja 12 years AGO

rtyre5y

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~Sandeep~ 12 years AGO

Welcome Trav...we are glad to have you here!
Admin will surely update you on your queries.

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Suman 12 years AGO

I fully agree with the logic given by Mr. Kewal.

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Suman 12 years AGO

I have earlier stated that due weightage should be given to time and investment but do not make it irrelevant by dividing each ratio by 0.6 and 0.4 to make it of equal importance(50:50) which is not correct in this case.

Your argument and answer holds good if weightage is 50% for investment and time.

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Suman 12 years AGO

Dear Admin,

As per qn.

60% weightage is given to investment and 40% weightage is given to time.

In that case
ratio of profit (for investment of 0, 1, 4, 5 lacs and time same( 3 hrs) for all)will be

(0*0.6 +3*0.4 ): (1*0.6+3*0.4):(4*0.6+3*0.4):(5*0.6+3*0.4) or 1.2 :1.8 :3.6 :4.2
or
2:3:6:7

Due weightage to time must be given as per qn.

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Trav 12 years AGO

From Texas:
This is a very enlightening web site. I also enjoy the fact that so far, I have not seen the rudeness that one finds on US sites. I'm 65 years old, an old Submarine Sailor, and way back when, we were taught to be polite to everyone. Refreshing indeed.

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Trav 12 years AGO

How do I make comments for answers to a puzzle that I submitted without using the solution function. For example, I modified the Houses in Oz question (base 6), and there was an answer in base 8 ( which was right for base 8).

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Trav 12 years AGO

Also, why does that verify tab open if I am verified.

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Trav 12 years AGO

I am not able to use the get file button to activate (it's dimmed) when I use the edit picture option. Help me Mr. Wizard.

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