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# Which of the following is not the sum of the squares of two

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Director
Joined: 03 May 2007
Posts: 872
Schools: University of Chicago, Wharton School
Which of the following is not the sum of the squares of two [#permalink]

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20 Oct 2007, 13:45
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Which of the following is not the sum of the squares of two integers?

a. 4
b. 20
c. 50
d. 63
e. 109
VP
Joined: 08 Jun 2005
Posts: 1145

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20 Oct 2007, 13:58

2^2+2^2 = 4

2^2+4^2 = 20

5^2+5^2 = 50

3^2+10^2 = 109

Director
Joined: 11 Jun 2007
Posts: 915
Re: PS: sum of the squares [#permalink]

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20 Oct 2007, 13:59
Fistail wrote:
Which of the following is not the sum of the squares of two integers?

a. 4
b. 20
c. 50
d. 63
e. 109

i get D and hope its not a trick question or maybe i'm looking too much into it

a) 4 = 2^2 + 0^2 (not sure of this one)
b) 20 = 4^2 + 2^2
c) 50 = 5^2 + 5^2 (technically only one integer 5)
d) 63 = 5^2 + 5^2 + 2^2 + 3^2 (couldn't think of anything else)
e) 109 = 10^2 + 3^2
VP
Joined: 08 Jun 2005
Posts: 1145
Re: PS: sum of the squares [#permalink]

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20 Oct 2007, 14:09
beckee529 wrote:
Fistail wrote:
Which of the following is not the sum of the squares of two integers?

a. 4
b. 20
c. 50
d. 63
e. 109

i get D and hope its not a trick question or maybe i'm looking too much into it

a) 4 = 2^2 + 0^2 (not sure of this one)
b) 20 = 4^2 + 2^2
c) 50 = 5^2 + 5^2 (technically only one integer 5)
d) 63 = 5^2 + 5^2 + 2^2 + 3^2 (couldn't think of anything else)
e) 109 = 10^2 + 3^2

0^2 = 0 is correct

zero is an integer

Director
Joined: 11 Jun 2007
Posts: 915
Re: PS: sum of the squares [#permalink]

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20 Oct 2007, 14:12
KillerSquirrel wrote:
beckee529 wrote:
Fistail wrote:
Which of the following is not the sum of the squares of two integers?

a. 4
b. 20
c. 50
d. 63
e. 109

i get D and hope its not a trick question or maybe i'm looking too much into it

a) 4 = 2^2 + 0^2 (not sure of this one)
b) 20 = 4^2 + 2^2
c) 50 = 5^2 + 5^2 (technically only one integer 5)
d) 63 = 5^2 + 5^2 + 2^2 + 3^2 (couldn't think of anything else)
e) 109 = 10^2 + 3^2

0^2 = 0 is correct

zero is an integer

thanks, duh! i was thinking of 0^0 which is undefined!!!
Re: PS: sum of the squares   [#permalink] 20 Oct 2007, 14:12
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