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How many members of a certain country club play both squash and racque

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Bunuel
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How many members of a certain country club play both squash and racque [#permalink] New post   03 Mar 2020, 03:47
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How many members of a certain country club play both squash and racquetball?

(1) 110 members of the country club play either squash or racquetball.

(2) 70 members of the country club play squash and 65 members of the country club play racquetball.
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C
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Blair15
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Re: How many members of a certain country club play both squash and racque [#permalink] New post   29 Sep 2022, 11:19
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Bunuel wrote:
How many members of a certain country club play both squash and racquetball?

(1) 110 members of the country club play either squash or racquetball.

(2) 70 members of the country club play squash and 65 members of the country club play racquetball.



Bunuel "either sqaush or racquetball" would mean "only squash and only racquetball" or "squash, rachquetball and both". Can you please expalin the meaning?
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How many members of a certain country club play both squash and racque [#permalink] New post   Updated on: 02 Jun 2020, 03:46
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Bunuel wrote:
How many members of a certain country club play both squash and racquetball?

(1) 110 members of the country club play either squash or racquetball.

(2) 70 members of the country club play squash and 65 members of the country club play racquetball.


Squash only = a
Racquetball only = b
Both Squash and Racquetball = c
None = d

Question: c = ?

Statement 1: a+b+c = 110

NOT SUFFICIENT

Statement 2: a+c = 70 and b+c = 65

NOT SUFFICIENT

Combining

a+c = 70 and b+c = 65 and a+b+c = 110

i.e. b = 40

i.e. c = 65-40 = 25

SUFFICIENT

Answer: Option C

Originally posted by GMATinsight on 03 Mar 2020, 04:52.
Last edited by GMATinsight on 02 Jun 2020, 03:46, edited 1 time in total.
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Re: How many members of a certain country club play both squash and racque [#permalink] New post   02 Jun 2020, 03:36
GMATinsight

c=25 not 40

a+c = 70
b+c = 65

a+b+c=110
a+b+2c=135

Subtracting first one from second one we get c=25
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Re: How many members of a certain country club play both squash and racque [#permalink] New post   02 Jun 2020, 03:48
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Camach700 wrote:
GMATinsight

c=25 not 40

a+c = 70
b+c = 65

a+b+c=110
a+b+2c=135

Subtracting first one from second one we get c=25


Camach700

Thank you for pointing out the mistake. Made the correction. :)

Thankfully DS questions do NOT require us to get the final value and strategically we must avoid getting into calculations whose outcome is very predictable such was the case in this question.
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GinoRako
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How many members of a certain country club play both squash and racque [#permalink] New post   19 Nov 2022, 03:03
Bunuel

Can you please explain why the Neither scenario is ruled? How do i recognise when to take into account the neither scenario and when not?

Doesn't either squash or racquetball mean; Squash-only + Racquetball-only ???

Thanks in advance!
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How many members of a certain country club play both squash and racque [#permalink]
19 Nov 2022, 03:03
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