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M03 #6

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M03 #6 [#permalink] New post 20 Sep 2008, 16:08
A certain prime x is divided by 5 to get a fraction. Then its numerator is increased by 4 and its denominator doubled, after which the resulting fraction is reduced. The denominator of the result is odd. What is x?

1) 7
2) 5
3) 4
4) 3
5) 2

Answer: First, eliminate 4 as it is not a prime. Then either plug the choices in or notice that will have an odd denominator only if is even, which identifies as 2.
The correct answer is E.

My question: If the initial fraction is 2/5 aka 4/10 and the changed/ resulting fraction is 6/10 (2+4 and double denominator), how has the resulting fraction been reduced?
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Re: M03 #6 [#permalink] New post 21 Sep 2008, 23:41
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Do you think our wording is wrong? If yes, could you please suggest any improvements?
The fraction \frac{6}{10} is reduced to \frac{3}{5}:
\frac{6}{10}=\frac{\cancel{2}*3}{\cancel{2}*5}.
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Re: M03 #6 [#permalink] New post 22 Sep 2008, 14:31
Thank you dzyubam for your response. I understand now what "reduced" means but I did assume it meant the resulting fraction was smaller. No I do not have any suggestions other than eliminating the "reduced" altogether and making the testers figure it out for themselves that the figure must be "reduced". Thank you.
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Re: M03 #6 [#permalink] New post 22 Sep 2008, 15:02
Thanks :-D .
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Re: M03 #6 [#permalink] New post 21 Jul 2009, 14:01
dczuchta wrote:
Thank you dzyubam for your response. I understand now what "reduced" means but I did assume it meant the resulting fraction was smaller. No I do not have any suggestions other than eliminating the "reduced" altogether and making the testers figure it out for themselves that the figure must be "reduced". Thank you.



i completely agree with dczuchta.
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Re: M03 #6 [#permalink] New post 22 Jul 2009, 00:25
Should we change "reduced" to "simplified" instead? I believe completely dropping this note will cause even more confusion.

What do you guys think?
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Re: M03 #6 [#permalink] New post 17 Sep 2009, 10:11
Agree, the wording is confusing.
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Re: M03 #6 [#permalink] New post 23 Sep 2009, 00:59
I've changed "reduced" to "simplified" in the question. Hope it clears the ambiguity.
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Re: M03 #6 [#permalink] New post 21 Sep 2011, 16:08
Whats wrong with 4?

4+4/10= 8/10 = 4/5?
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Re: M03 #6 [#permalink] New post 21 Sep 2011, 19:22
cvsmech wrote:
Whats wrong with 4?

4+4/10= 8/10 = 4/5?



It is not a prime number, therefore from the start we can eliminate this answer !
Re: M03 #6   [#permalink] 21 Sep 2011, 19:22
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