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Difficulty:
25%
(medium)
Question Stats:
76% (01:31) correct
24%
(01:49)
wrong
based on 123
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A veterinarian has 70 clients who own cats, dogs, or both. Of these clients, 36 own cats, including 20 clients who own both cats and dogs. Which of the following statements must be true?
I. There are 54 clients who own dogs.
II. There are 34 clients who own dogs but not cats.
III. There are 16 clients who own cats but not dogs.
A. I only
B. II only
C. III only
D. I and II only
E. I, II and III
_________________
I. There are 54 clients who own dogs.
II. There are 34 clients who own dogs but not cats.
III. There are 16 clients who own cats but not dogs.
A. I only
B. II only
C. III only
D. I and II only
E. I, II and III
_________________
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Bunuel
As per the table attached,
Answer should be E.
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File comment: Table:
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Posts: 34
Can someone provide an answer explanation for this question. I am only able to point the 3rd statement.
Posts: 410
rishabhshreyas14
>A veterinarian has 70 clients who own cats, dogs, or both
There is no 'neither' option. Must have a pet.
70=Cats+Dogs-Both
70=36+Dogs-20
70=16+Dogs
Dogs=54
Dogs only=Dogs-both
=54-20
=34
GMAT 1: 760 Q51 V42
Posts: 10,057
Total: 70
Cats and Dogs both: 20
Only cats: 36 - 20 = 16 - Option III
Dogs: 70 = 36 + Dogs - 20 = 54 - Option I
Only dogs: 54 - 20 = 34 - Option II
Option I, II, and III
Answer E
Cats and Dogs both: 20
Only cats: 36 - 20 = 16 - Option III
Dogs: 70 = 36 + Dogs - 20 = 54 - Option I
Only dogs: 54 - 20 = 34 - Option II
Option I, II, and III
Answer E
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