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Given that a and b are positive integers, if a≠1, does a = b?
Statement #1: a is a factor of b
Statement #2: a is a multiple of b
Considering Mike suggestion, the question has been edited.
This is a question framed by myself. Please feel free to improvise the question!
Good luck!
Statement #1: a is a factor of b
Statement #2: a is a multiple of b
Considering Mike suggestion, the question has been edited.
This is a question framed by myself. Please feel free to improvise the question!
Good luck!
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
29 Jan 2016, 17:49
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MK1480
Dear MK1480,
Very interesting, my friend.
When you say "feel free to improvise the question," I assume you mean "feel free to improve the question." First of all, I think it would be more natural sounding to say "Does a = b?" rather than "Is a = b?"
I think a slightly more interesting set-up would be:
Given that a and b are positive integers, if \(a \neq 1\), does a = b?
Statement #1: a is a factor of b
Statement #2: a is a multiple of b
This version plays on the subtle reciprocal relationship between the idea of a factor and the idea of a multiple. It also explicitly disabuses people of the misconception that if both statements are true, the values must equal 1. One important part of writing a high quality question is anticipating the incorrect assumptions that some students might bring to a question.
What do you think?
Mike
30 Jan 2016, 12:49
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Completely agree with you Mike!
Thanks for your suggestions! I will edit the question as you advised!
Thanks for your suggestions! I will edit the question as you advised!
mikemcgarry
