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

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The number 90 can be written as the sum of the squares of 3  [#permalink]

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New post Updated on: 29 Feb 2012, 23:55
1
4
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

57% (00:55) correct 43% (01:22) wrong based on 288 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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Originally posted by enigma123 on 29 Feb 2012, 19:09.
Last edited by Bunuel on 29 Feb 2012, 23:55, edited 1 time in total.
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Re: Number 90  [#permalink]

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New post 29 Feb 2012, 19:27
I guess this is a bad question:

Here is the other scenario that works:

1 + 25 + 64 = 90

and 1 + 5 + 8 = 14
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Re: Number 90  [#permalink]

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New post 29 Feb 2012, 22:49
Most likely, this is Not a GMAT qn....
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Re: Number 90  [#permalink]

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New post 29 Feb 2012, 23:54
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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New post 15 Jul 2018, 11:48
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: The number 90 can be written as the sum of the squares of 3 &nbs [#permalink] 15 Jul 2018, 11:48
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