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The number 91 can be written as the sum of squares of 3 integers.

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The number 91 can be written as the sum of squares of 3 integers.  [#permalink]

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New post 23 Nov 2014, 06:31
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Question Stats:

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The number 91 can be written as the sum of squares of 3 integers. Which of the following could be the difference between the largest and smallest integers of the 3?

A. 2
B. 5
C. 7
D. 8
E. 9


Spoiler ////

OA is height since it is the difference from 9 and 1. However, the question is not mentioning that the integers have to be positive. Therefore we could have -3 (still giving +9 once squared) and so a difference of 9 - -3 = +12.

Am I making this more complicated than it really is ?

Also, this was a question from the Economist free CAT. I got a 590 with a 28(!!!) on verbal (while on my previous CAT - Veritas - I got 38) even though I made only a few mistakes. I start to doubt of the reliability of the Economist CAT ... Any other experience with this CAT?

Thanks :)
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Re: The number 91 can be written as the sum of squares of 3 integers.  [#permalink]

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New post 23 Nov 2014, 06:55
1
4
MaximeU wrote:
The number 91 can be written as the sum of squares of 3 integers. Which of the following could be the difference between the largest and smallest integers of the 3?

A. 2
B. 5
C. 7
D. 8
E. 9


Spoiler ////

OA is height since it is the difference from 9 and 1. However, the question is not mentioning that the integers have to be positive. Therefore we could have -3 (still giving +9 once squared) and so a difference of 9 - -3 = +12.

Am I making this more complicated than it really is ?

Also, this was a question from the Economist free CAT. I got a 590 with a 28(!!!) on verbal (while on my previous CAT - Veritas - I got 38) even though I made only a few mistakes. I start to doubt of the reliability of the Economist CAT ... Any other experience with this CAT?

Thanks :)


Notice that the question asks which of the following could be the difference between the largest and smallest integers, not must be. The 3 integers could be: +/-1, +/-3 and +/-9, so the difference could be 8, 10 or 12. Since only one of them is among the choices, then it must be the correct answer.

Answer: D.

Similar question to practice from GMAT Prep: 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 91 can be written as the sum of squares of 3 integers.  [#permalink]

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New post 23 Nov 2014, 19:04
5
1
Answer = D = 8

91 = 1 + 90

= 1 + 9 + 81

\(= 1^2 + 3^2 + 9^2\)

Difference = 9-1 = 8
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Re: The number 91 can be written as the sum of squares of 3 integers.  [#permalink]

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New post 11 Apr 2016, 12:35
91 can be expressed as sum of 3 squares as follows - (+/- 1)^2, (+/- 3)^2, (+/- 9)^2
I am considering both positive and negative numbers as integers can be both positive or negative,but the squares have to positive only
Possible differences between the numbers could be 8, 10 or 12
As the question asks for which could be the possible value for difference,the answer has to be 8
correct answer - D
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Re: The number 91 can be written as the sum of squares of 3 integers.  [#permalink]

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New post 09 Oct 2017, 10:58
1
Hello Moderators,

I got this question as part of my Workbook recommendation. Do you think the highlighted portion of the question needs to be hidden? The highted test is giving away the answer to the question.

Thanking you in advance!

MaximeU wrote:
The number 91 can be written as the sum of squares of 3 integers. Which of the following could be the difference between the largest and smallest integers of the 3?

A. 2
B. 5
C. 7
D. 8
E. 9


Spoiler ////

OA is height since it is the difference from 9 and 1. However, the question is not mentioning that the integers have to be positive. Therefore we could have -3 (still giving +9 once squared) and so a difference of 9 - -3 = +12.

Am I making this more complicated than it really is ?

Also, this was a question from the Economist free CAT. I got a 590 with a 28(!!!) on verbal (while on my previous CAT - Veritas - I got 38) even though I made only a few mistakes. I start to doubt of the reliability of the Economist CAT ... Any other experience with this CAT?

Thanks :)

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Re: The number 91 can be written as the sum of squares of 3 integers.  [#permalink]

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New post 09 Oct 2017, 11:05
susheelh wrote:
Hello Moderators,

I got this question as part of my Workbook recommendation. Do you think the highlighted portion of the question needs to be hidden? The highted test is giving away the answer to the question.

Thanking you in advance!

MaximeU wrote:
The number 91 can be written as the sum of squares of 3 integers. Which of the following could be the difference between the largest and smallest integers of the 3?

A. 2
B. 5
C. 7
D. 8
E. 9


Spoiler ////

OA is height since it is the difference from 9 and 1. However, the question is not mentioning that the integers have to be positive. Therefore we could have -3 (still giving +9 once squared) and so a difference of 9 - -3 = +12.

Am I making this more complicated than it really is ?

Also, this was a question from the Economist free CAT. I got a 590 with a 28(!!!) on verbal (while on my previous CAT - Veritas - I got 38) even though I made only a few mistakes. I start to doubt of the reliability of the Economist CAT ... Any other experience with this CAT?

Thanks :)

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Re: The number 91 can be written as the sum of squares of 3 integers.  [#permalink]

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New post 17 Jun 2019, 19:36
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Re: The number 91 can be written as the sum of squares of 3 integers.   [#permalink] 17 Jun 2019, 19:36
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