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# which of these is a perfect square? A) 2893467827688677 B)

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Director
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which of these is a perfect square? A) 2893467827688677 B) [#permalink]

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03 Nov 2005, 21:04
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which of these is a perfect square?
A) 2893467827688677
B) 79242972893648656
C) 9134751098236810
D) 5916378240699596
E) None of the above

Clock starts now--you got 1.5 mins...
Current Student
Joined: 28 Dec 2004
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Schools: Wharton'11 HBS'12
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03 Nov 2005, 21:31
OK ...i am too tired to do any math...so lets use logic..

perfect squares...well prime^even =perfect squares...

hmm lets see if we see any prime..ahh well to many numbers so cant see primes...

OK that is not working..so lets see unit digits...no perfect square has a unit digit of 7..so A is out...hmm 6...well 6*6=36..well OK, I will keep B...now look at C...hm any unit digit of with 0...well this one if it is a peferct will have to have a 10th digit which is 0...so C is out....oK D looks Ok...so lets see is B, D or E...well lets say Gmat wants us to do some math...so E is out...down to B and D....

OK I see a pattern in B...this looks like it could be a perfect square..so B it is...withouth doing any math...just when I am tired from a days work...logic baby...
Senior Manager
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03 Nov 2005, 23:32
using similar logic as in the previous post I would say B. A is out definitely, C as well. E is out too. Is there a shortcut here that I am missing, is there another way to solve quicker than just looking at the unit digit and then tens, hundreds... its so late , sleeeepy time. kayzer is out..
VP
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03 Nov 2005, 23:35
qsr is determined to make us crazy with calculations
Director
Joined: 14 Oct 2003
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03 Nov 2005, 23:45
duttsit wrote:
qsr is determined to make us crazy with calculations

GSR - if you don't cut it out with these sadistic number properties questions, I'm going to create a really crazy "work" rate problem that'll make you go catatonic and I'll post it when you're in the middle of your project tomorrow!

Titleist

even when I'm
_________________

"Wow! Brazil is big." â€”George W. Bush, after being shown a map of Brazil by Brazilian president Luiz Inacio Lula da Silva, Brasilia, Brazil, Nov. 6, 2005

http://www.nytimes.com/2005/11/21/international/asia/21prexy.html

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04 Nov 2005, 01:23
duttsit wrote:
qsr is determined to make us crazy with calculations

Admit that, like freshinha i came down to B D and E ...all I tried is to find ways to consider the last three digits but still stuck
GRS> you're evil this time
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04 Nov 2005, 01:59
gsr wrote:
which of these is a perfect square?
A) 2893467827688677
B) 79242972893648656
C) 9134751098236810
D) 5916378240699596
E) None of the above

Clock starts now--you got 1.5 mins...

okie, let me divulge a golden rule for checking if a number is perfect square or not!!!!
Firstly add up all the digits of the number ...if the result still contains more than two digits ...add the digits ...if the new result still contains more than two digits ...add the digits ...repeat this process until the result has one and only one digit ..if the digit is whether 1, 4, 7 or 9 ...the initial number is a perfect square!!!
Now try with 79242972893648656
first step: we got 97
2nd step: we got 16
3rd step: we got 7

OH YEAH ..It's 7 ...YEAH ....it's the answer!!!!!!!!!
Manager
Joined: 04 Oct 2005
Posts: 246
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04 Nov 2005, 02:56
laxieqv wrote:
gsr wrote:
which of these is a perfect square?
A) 2893467827688677
B) 79242972893648656
C) 9134751098236810
D) 5916378240699596
E) None of the above

Clock starts now--you got 1.5 mins...

okie, let me divulge a golden rule for checking if a number is perfect square or not!!!!
Firstly add up all the digits of the number ...if the result still contains more than two digits ...add the digits ...if the new result still contains more than two digits ...add the digits ...repeat this process until the result has one and only one digit ..if the digit is whether 1, 4, 7 or 9 ...the initial number is a perfect square!!!
Now try with 79242972893648656
first step: we got 97
2nd step: we got 16
3rd step: we got 7

OH YEAH ..It's 7 ...YEAH ....it's the answer!!!!!!!!!

jesus, that's brilliant....
how can the question makers assume anyone human knows this shortcut?
why do you know it??? but great tip anyways!
Director
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04 Nov 2005, 10:48
Bang on. Laxie keeps hitting the nail on the head.
Anyways, another 400+ problem...
Current Student
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04 Nov 2005, 10:50
nah....more like 200+....I did it without even doing any math....LOL!!

gsr wrote:
Bang on. Laxie keeps hitting the nail on the head.
Anyways, another 400+ problem...
SVP
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Posts: 1885
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04 Nov 2005, 10:58
gsr wrote:
Bang on. Laxie keeps hitting the nail on the head.
Anyways, another 400+ problem...

huh?! ...how come 400+ ...btw, gsr, please choose avatars of cuter boys,okie?!!!
SVP
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04 Nov 2005, 11:01
btw, I did solve your riddle in Fun Maths, check it out
Okie, too much study today, gotta go to bed zzzzzz ...nite nite everyone ^_^
Director
Joined: 21 Aug 2005
Posts: 790
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04 Nov 2005, 11:12
laxieqv wrote:
btw, I did solve your riddle in Fun Maths, check it out
Okie, too much study today, gotta go to bed zzzzzz ...nite nite everyone ^_^

Yeah saw that!
I am right now thinking of some other problem that doesn't have any solution - so that I can post it for you!
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Joined: 24 Sep 2005
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04 Nov 2005, 11:14
gsr wrote:
laxieqv wrote:
btw, I did solve your riddle in Fun Maths, check it out
Okie, too much study today, gotta go to bed zzzzzz ...nite nite everyone ^_^

Yeah saw that!
I am right now thinking of some other problem that doesn't have any solution - so that I can post it for you!

Can you post it 10 hours later?!!! I'm going to bed now , it's 2 am here ( ...then tomorrow, i'll still have to go to support sports games in my univ
Director
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04 Nov 2005, 11:19
laxieqv wrote:
Can you post it 10 hours later?!!! I'm going to bed now , it's 2 am here ( ...then tomorrow, i'll still have to go to support sports games in my univ

Ok. Btw, I have posted another one. Solve it quick and go to bed
Director
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04 Nov 2005, 12:06
nero44 wrote:
laxieqv wrote:
gsr wrote:
which of these is a perfect square?
A) 2893467827688677
B) 79242972893648656
C) 9134751098236810
D) 5916378240699596
E) None of the above

Clock starts now--you got 1.5 mins...

okie, let me divulge a golden rule for checking if a number is perfect square or not!!!!
Firstly add up all the digits of the number ...if the result still contains more than two digits ...add the digits ...if the new result still contains more than two digits ...add the digits ...repeat this process until the result has one and only one digit ..if the digit is whether 1, 4, 7 or 9 ...the initial number is a perfect square!!!
Now try with 79242972893648656
first step: we got 97
2nd step: we got 16
3rd step: we got 7

OH YEAH ..It's 7 ...YEAH ....it's the answer!!!!!!!!!

jesus, that's brilliant....
how can the question makers assume anyone human knows this shortcut?
why do you know it??? but great tip anyways!

They don't only if the test maker's name is GSR.
_________________

"Wow! Brazil is big." â€”George W. Bush, after being shown a map of Brazil by Brazilian president Luiz Inacio Lula da Silva, Brasilia, Brazil, Nov. 6, 2005

http://www.nytimes.com/2005/11/21/international/asia/21prexy.html

Director
Joined: 21 Aug 2005
Posts: 790
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Kudos [?]: 26 [0], given: 0

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04 Nov 2005, 12:14
Testmakers need not know how to solve the problem. They just need to go out, grab something that looks/sounds tough and post it!!
VP
Joined: 22 Aug 2005
Posts: 1113
Location: CA
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Kudos [?]: 111 [0], given: 0

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04 Nov 2005, 12:22
laxieqv wrote:

okie, let me divulge a golden rule for checking if a number is perfect square or not!!!!
Firstly add up all the digits of the number ...if the result still contains more than two digits ...add the digits ...if the new result still contains more than two digits ...add the digits ...repeat this process until the result has one and only one digit ..if the digit is whether 1, 4, 7 or 9 ...the initial number is a perfect square!!!
Now try with 79242972893648656
first step: we got 97
2nd step: we got 16
3rd step: we got 7

OH YEAH ..It's 7 ...YEAH ....it's the answer!!!!!!!!!

brilliant work golden girl
Director
Joined: 21 Aug 2005
Posts: 790
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Kudos [?]: 26 [0], given: 0

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04 Nov 2005, 12:26
laxieqv wrote:
gsr, please choose avatars of cuter boys,okie?!!!

I cannot believe what you just said!!
What's ur reaction - Titleist?
SVP
Joined: 24 Sep 2005
Posts: 1885
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04 Nov 2005, 20:43
gsr wrote:
laxieqv wrote:
gsr, please choose avatars of cuter boys,okie?!!!

I cannot believe what you just said!!
What's ur reaction - Titleist?

cute like this one ...my motif
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04 Nov 2005, 20:43

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