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q is an integer greater than 1. Let q stand for the smalles

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q is an integer greater than 1. Let q stand for the smalles [#permalink] New post   18 Sep 2018, 10:41
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\(s\) is an integer greater than 1. Let \(\circledS\) stand for the smallest positive integer factor of q that is greater than 1.

Quantity A
Quantity B
\(\circledS\)
\(\circledS^3\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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C
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projectoffset
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Re: q is an integer greater than 1. Let q stand for the smalles [#permalink] New post   15 Nov 2018, 16:03
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Can anyone explain why these are equal?

What is the relation between the s in the beginning and the S in the circle? There does not seem to be any relation implied, as none is mentioned and they even look different.
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chetan2u
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Re: q is an integer greater than 1. Let q stand for the smalles [#permalink] New post   15 Nov 2018, 18:18
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Carcass wrote:
\(s\) is an integer greater than 1. Let \(\circledS\) stand for the smallest positive integer factor of q that is greater than 1.

Quantity A
Quantity B
\(\circledS\)
\(\circledS^3\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.



Ok, why they are equal??

Now q is an integer greater than 1.
\(\circledS\) is the smallest factor of q.
Ans \(\circledS^3\) should be the smallest factor of \(q^3\).
In both cases the answer will be \(\circledS\) only as all factors of q will also be factors of q^3.

However I do agree question is not very well framed.
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projectoffset
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Re: q is an integer greater than 1. Let q stand for the smalles [#permalink] New post   15 Nov 2018, 18:29
chetan2u wrote:
Carcass wrote:
\(s\) is an integer greater than 1. Let \(\circledS\) stand for the smallest positive integer factor of q that is greater than 1.

Quantity A
Quantity B
\(\circledS\)
\(\circledS^3\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.



Ok, why they are equal??

Now q is an integer greater than 1.
\(\circledS\) is the smallest factor of q.
Ans \(\circledS^3\) should be the smallest factor of \(q^3\).
In both cases the answer will be \(\circledS\) only as all factors of q will also be factors of q^3.

However I do agree question is not very well framed.



Ok, I think maybe I see the issue? The problem states \(s\) is an integer greater than 1. But you've said q is an integer greater than one. Am I missing some relationship here or should the first statement be changed from s to q? On my screen I am seeing "\(s\) is an integer greater than 1." In fact its part of your quote as well.
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Re: q is an integer greater than 1. Let q stand for the smalles [#permalink] New post   15 Nov 2018, 18:33
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projectoffset wrote:
chetan2u wrote:
Carcass wrote:
\(s\) is an integer greater than 1. Let \(\circledS\) stand for the smallest positive integer factor of q that is greater than 1.

Quantity A
Quantity B
\(\circledS\)
\(\circledS^3\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.



Ok, why they are equal??

Now q is an integer greater than 1.
\(\circledS\) is the smallest factor of q.
Ans \(\circledS^3\) should be the smallest factor of \(q^3\).
In both cases the answer will be \(\circledS\) only as all factors of q will also be factors of q^3.

However I do agree question is not very well framed.



Ok, I think maybe I see the issue? The problem states \(s\) is an integer greater than 1. But you've said q is an integer greater than one. Am I missing some relationship here or should the first statement be changed from s to q? On my screen I am seeing "\(s\) is an integer greater than 1." In fact its part of your quote as well.



No it is showing s itself but it should be q. Even that is not required. The second sentence covers all aspects required to answer the question.
But still the clarity on \(\circledS^3\) is missing.
Does it mean the CUBE of the smallest positive factor\(\circledS\).
Or it means the smallest positive factor of q^3.
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projectoffset
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Re: q is an integer greater than 1. Let q stand for the smalles [#permalink] New post   15 Nov 2018, 19:36
Maybe it's just me but this doesn't seem very indicative of how GRE questions are usually presented.
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Re: q is an integer greater than 1. Let q stand for the smalles [#permalink] New post   16 Nov 2018, 17:51
I think question needs to be straightforward.
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minniethakur
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Re: q is an integer greater than 1. Let q stand for the smalles [#permalink] New post   08 Mar 2019, 01:34
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the smallest positive integer of any number is 1, so 1^3 is equal to 1

not 100% sure though.
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milano95j
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Re: q is an integer greater than 1. Let q stand for the smalles [#permalink] New post   08 Oct 2019, 07:32
Ambigious question
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Re: q is an integer greater than 1. Let q stand for the smalles [#permalink] New post   13 Jun 2021, 03:01
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Re: q is an integer greater than 1. Let q stand for the smalles [#permalink]
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