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M21-04

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M21-04  [#permalink]

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New post 16 Sep 2014, 01:10
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

82% (00:49) correct 18% (00:43) wrong based on 139 sessions

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The table below shows the number of members of five pool clubs in 2001 and 2002 respectively:

Image

Which of the clubs experienced the greatest percentage increase in membership from 2001 to 2002?


A. club A
B. club B
C. club C
D. club D
E. club E

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Re M21-04  [#permalink]

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New post 16 Sep 2014, 01:10
Official Solution:


The table below shows the number of members of five pool clubs in 2001 and 2002 respectively:

Image

Which of the clubs experienced the greatest percentage increase in membership from 2001 to 2002?


A. club A
B. club B
C. club C
D. club D
E. club E

The absolute increase in membership was 4 for club A, 2 for club B, -5 for club C, 2 for club D, and 3 for club E. To compare the percentage increases we have to compare fractions \(\frac{4}{54}\), \(\frac{2}{62}\), \(-\frac{5}{60}\), \(\frac{2}{48}\), and \(\frac{3}{31}\). \(\frac{3}{31}\) is the largest (\(\frac{3}{31}\) is approximately \(\frac{1}{10} = \frac{4}{40} \gt \frac{4}{54} \gt \frac{2}{48} = \frac{1}{24}\)).

Answer: E
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Collection of Questions:
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Re: M21-04  [#permalink]

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New post 08 Nov 2017, 03:01
Take the ratio and compare. E wins.
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Re: M21-04  [#permalink]

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New post 02 Feb 2018, 21:09
Instead of calculating all the ratios, you can eliminate some quickly.

Club C decreased in size so can be instantly eliminated.

Club E started with the smallest number (31) and increased by 3. Use that as a comparison for other clubs.
- Club B started with more members (62) and increased by fewer (2), so it won't beat E.
- Likewise Club D started with more members (48) and increased by fewer (2), so it won't beat E either.
- Club A started with more members (54) but increased by more (4) so it's not immediately obvious.

You then just have to calculate whether 4/54 is larger than 3/31. You will probably have time to do this long-hand, or you can estimate if you're confident.
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Re: M21-04 &nbs [#permalink] 02 Feb 2018, 21:09
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