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The number 90 can be written as the sum of the squares of 3

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Senior Manager
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 472
Location: United Kingdom
Concentration: International Business, Strategy
GMAT 1: 730 Q49 V45
GPA: 2.9
WE: Information Technology (Consulting)
The number 90 can be written as the sum of the squares of 3  [#permalink]

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Updated on: 29 Feb 2012, 22:55
1
4
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Difficulty:

55% (hard)

Question Stats:

56% (00:58) correct 44% (01:27) wrong based on 315 sessions

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The number 90 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?
(A) 17
(B) 16
(C) 15
(D) 14
(E) 13

The three squares are 16, 25 and 49 and they add to 90. And the three numbers 4 +5+7 = 16 should be the answer. But answer is D and I know how to get D as well. But I need to know why 16 is not correct or where I am making mistake please.

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MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610
GMAT ==> 730

Originally posted by enigma123 on 29 Feb 2012, 18:09.
Last edited by Bunuel on 29 Feb 2012, 22:55, edited 1 time in total.
Topic is locked
Manager
Joined: 22 Feb 2012
Posts: 85
Schools: HBS '16
GMAT 1: 740 Q49 V42
GMAT 2: 670 Q42 V40
GPA: 3.47
WE: Corporate Finance (Aerospace and Defense)
Re: Number 90  [#permalink]

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29 Feb 2012, 18:27
I guess this is a bad question:

Here is the other scenario that works:

1 + 25 + 64 = 90

and 1 + 5 + 8 = 14
Intern
Joined: 24 Feb 2012
Posts: 31
Re: Number 90  [#permalink]

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29 Feb 2012, 21:49
Most likely, this is Not a GMAT qn....
Math Expert
Joined: 02 Sep 2009
Posts: 52344
Re: Number 90  [#permalink]

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29 Feb 2012, 22:54
1
enigma123 wrote:
The number 90 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?
(A) 17
(B) 16
(C) 15
(D) 14
(E) 13

The three squares are 16, 25 and 49 and they add to 90. And the three numbers 4 +5+7 = 16 should be the answer. But answer is D and I know how to get D as well. But I need to know why 16 is not correct or where I am making mistake please.

4^2 + 5^2 + 7^2 = 90 --> 4 + 5 + 7 = 16;
1^2 + 5^2 + 8^2 = 90 --> 1 + 5 + 8 = 14.

So, we have two correct answers: B and D. Question is flawed. So, I wouldn't worry about this problem at all.

Similar question: the-number-75-can-be-written-as-the-sum-of-the-squares-of-125101.html

Hope it helps.
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Re: The number 90 can be written as the sum of the squares of 3  [#permalink]

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15 Jul 2018, 10:48
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Re: The number 90 can be written as the sum of the squares of 3 &nbs [#permalink] 15 Jul 2018, 10:48
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The number 90 can be written as the sum of the squares of 3

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