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Which of the following CANNOT be expressed as the sum of the squares

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Which of the following CANNOT be expressed as the sum of the squares  [#permalink]

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New post 24 Feb 2019, 23:59
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

82% (01:41) correct 18% (00:55) wrong based on 22 sessions

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VP
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Joined: 31 Oct 2013
Posts: 1273
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: Which of the following CANNOT be expressed as the sum of the squares  [#permalink]

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New post 25 Feb 2019, 00:54
Bunuel wrote:
Which of the following CANNOT be expressed as the sum of the squares of two integers?

(A) 13

(B) 17

(C) 21

(D) 29

(E) 34



A) \(2^2 +3^2\)
B)\(4^2 +1^2\)
C)21
D)\(5^2 + 2^2\)
E)\(5^2 + 3^2\)

C is the correct answer.
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Re: Which of the following CANNOT be expressed as the sum of the squares  [#permalink]

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New post 25 Feb 2019, 01:11
Bunuel wrote:
Which of the following CANNOT be expressed as the sum of the squares of two integers?

(A) 13

(B) 17

(C) 21

(D) 29

(E) 34


possible square ; 1,4,9,16,25
so
sum 13; 9+4
17;16+1
29; 25+4
34; 25+9
21 answer
IMO C
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Re: Which of the following CANNOT be expressed as the sum of the squares   [#permalink] 25 Feb 2019, 01:11
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Which of the following CANNOT be expressed as the sum of the squares

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