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05 Aug 2024, 01:30
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
41% (03:04) correct
59%
(02:30)
wrong
based on 64
sessions
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Not Attempted Yet
Of the 115 members at the Shady Hills Country Club, some play only tennis, some play only golf, some play only lawn bowling, some play tennis and golf, some play tennis and lawn bowling, some play golf and lawn bowling, and 10 members play all 3. How many members play tennis?
(1) The number of members who play tennis and lawn bowling is 3 times the number of members who play tennis and golf and the total number of members who play golf or lawn bowling is 90.
(2) 40 members play only golf and 10 members play only lawn bowling.
(1) The number of members who play tennis and lawn bowling is 3 times the number of members who play tennis and golf and the total number of members who play golf or lawn bowling is 90.
(2) 40 members play only golf and 10 members play only lawn bowling.
06 Aug 2024, 15:22
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Bunuel
Attachment:
GMAT 07 Aug 24.jpg [ 14.39 KiB | Viewed 1246 times ]
We need \(t = z+x+y+10\) Or we need the value of \(x+y+z\)
(1) The number of members who play tennis and lawn bowling is 3 times the number of members who play tennis and golf and the total number of members who play golf or lawn bowling is 90.
Please refer to the fig. above:
Tennis and bowling is 3 times.. Tennis and golf
\(y+10 =3(x+10) \) ..(i)
Total number of members who play golf or lawn bowling is \(90\)
\((p+x+10+q)+(y+10+q+r)-(10+q)=90\).... ( A or B = A + B - Both )
\(p+x+10+q+y+r=90\) ..(ii)
\((z+x+10+y)+p+q+r= 115\) ...(iii)
Using (ii) (iii) we can get \(z\) but we still cannot get \(x+y. \)
INSUFF.
(2) 40 members play only golf and 10 members play only lawn bowling.
Attachment:
GMAT 07 Aug 24.jpg [ 14.39 KiB | Viewed 1246 times ]
So \(p =40\) and \(r= 10\)
Clearly using stem and this statement we still cannot get \(x+y+z.\)
INSUFF.
1+2
Using both the statements and the three equations (i) (ii) and (iii) we still cannot get \(x+y \)
INSUFF.
Ans E
Hope it helped.
