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

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Director
Director
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Schools: University of Chicago, Wharton School
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Which of the following is not the sum of the squares of two [#permalink] New post 20 Oct 2007, 12:45
00:00
A
B
C
D
E

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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
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 [#permalink] New post 20 Oct 2007, 12:58
the answer is (D)

2^2+2^2 = 4

2^2+4^2 = 20

5^2+5^2 = 50

3^2+10^2 = 109

:)
Director
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Re: PS: sum of the squares [#permalink] New post 20 Oct 2007, 12:59
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
VP
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Joined: 08 Jun 2005
Posts: 1157
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Kudos [?]: 110 [0], given: 0

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Re: PS: sum of the squares [#permalink] New post 20 Oct 2007, 13:09
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
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Joined: 11 Jun 2007
Posts: 932
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Kudos [?]: 46 [0], given: 0

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Re: PS: sum of the squares [#permalink] New post 20 Oct 2007, 13:12
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, 13:12
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Which of the following is not the sum of the squares of two

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