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06 Feb 2024, 02:30
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
74% (02:10) correct
26%
(02:09)
wrong
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In a pet store survey about dog and cat owners, it was found that 18% were cat owners, and 42% were male pet owners. What percentage are female dog owners?
(1) 34% of the owners are male dog owners.
(2) The ratio of female cat owners to male cat owners is 5 to 4.
(1) 34% of the owners are male dog owners.
(2) The ratio of female cat owners to male cat owners is 5 to 4.
At a pet store, a research was conducted on dog owners and cat owners, and it showed that 18% was cat owners, and 42% was male owners. What percent is the female dog owners?
(1) 34% are male dog owners.
(2) The ratio of female cat owners to male cat owners is 5 to 4.
(1) 34% are male dog owners.
(2) The ratio of female cat owners to male cat owners is 5 to 4.
Aryaa03
Joined: 12 Jun 2023
Last visit: 19 Feb 2026
Posts: 209
Given Kudos: 159
Location: India
Schools: ISB '27 (A) IIM Calcutta '26 (A) IIMA '26 (D)
GMAT Focus 1: 645 Q86 V81 DI78 
06 Feb 2024, 04:38
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Bunuel
Sol: IMO- Option-D
Given : 4 Attributes : Male Pet Owners (M), Female Pet Owners (F) , Cat (C) and Dog (D)
a) Percetage of Cat owners = C = MC + FC = 18 ---(1)
b) Percentage of Male Pet owners = M = MC + MD = 42 ---(2)
C+D = 100 -- (3)
M+F = 100 ==? F = FC + FD = 100 - 42 = 58 -- (4)
Asked : Pecetge of Females having Dogs = FD ?
Sol:
St-1:
34% of the owners are male dog owners ==> MD = 34
From-1 and 2, FC = 10
From - 4, FD = 58 - 10 =48
Sufficient
St-2
The ratio of female cat owners to male cat owners is 5 to 4.
Let x be the common multiple, then FC = 5x, MC = 4x
From -1 , FC + MC = 18 ==> 9x = 18 , x=2 and thus FC = 10
From - 4, FD = 58 - 10 =48
Sufficient
2x2 matrix or Venn diagram can be used for graphical rep.
06 Feb 2024, 15:49
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Option D
Inititally all we know is
For sake of simplicity we take total numbers as 100.
For statement 1:
We know that male dogs owners are 34, so we can easily find out female dog owners' number which is = (82-34) = 48
Staement 2:
The ratio of female cat owners to male cat owners is 5 to 4
So we have
5x+4x = 18 => x=2
So, 5x = 10, 4x = 8
We can now find out the female dog owners' numbers which is = 58 - 10 = 48
So each of the staements is individually sufficient to get the answer 48.
Hence, correct option is D
GMAT-Club-Forum-tp79ljkg.png [ 9.9 KiB | Viewed 868 times ]
GMAT-Club-Forum-v1jihzjt.png [ 13.17 KiB | Viewed 859 times ]
GMAT-Club-Forum-knaxgwyx.png [ 13.09 KiB | Viewed 848 times ]
Inititally all we know is
For sake of simplicity we take total numbers as 100.
For statement 1:
We know that male dogs owners are 34, so we can easily find out female dog owners' number which is = (82-34) = 48
Staement 2:
The ratio of female cat owners to male cat owners is 5 to 4
So we have
5x+4x = 18 => x=2
So, 5x = 10, 4x = 8
We can now find out the female dog owners' numbers which is = 58 - 10 = 48
So each of the staements is individually sufficient to get the answer 48.
Hence, correct option is D
Attachment:
GMAT-Club-Forum-tp79ljkg.png [ 9.9 KiB | Viewed 868 times ]
Attachment:
GMAT-Club-Forum-v1jihzjt.png [ 13.17 KiB | Viewed 859 times ]
Attachment:
GMAT-Club-Forum-knaxgwyx.png [ 13.09 KiB | Viewed 848 times ]
