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

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Math Expert
Joined: 02 Sep 2009
Posts: 58464
Which of the following CANNOT be expressed as the sum of the squares  [#permalink]

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24 Feb 2019, 23:59
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Difficulty:

15% (low)

Question Stats:

84% (01:35) correct 16% (00:45) wrong based on 37 sessions

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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

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Joined: 31 Oct 2013
Posts: 1468
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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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)$$5^2 + 3^2$$

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

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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
IMO C
Re: Which of the following CANNOT be expressed as the sum of the squares   [#permalink] 25 Feb 2019, 01:11
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