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Three MBA applications. Three rejections. No interview invites. A year later, Aman was admitted to Cambridge Judge, SMU, and IMD. In this episode of MBA Admit Stories, Aman shares how he rebuilt his MBA application...
27 Jan 2023, 02:30
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
76% (02:16) correct
24%
(02:31)
wrong
based on 368
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465 pet owners were surveyed to determine whether they owned cats or dogs. 355 said they had at least one cat and 260 said they had at least one dog. Assuming that every couple surveyed had at least one cat or dog, which of the following statements must be true?
I. More than half of the cat owners are also dog owners
II. More than half of the dog owners are also cat owners
III. None of the pet owners have both cats and dogs
A. I only
B. II only
C. I and II only
D. I and III only
E. I, II and III
I. More than half of the cat owners are also dog owners
II. More than half of the dog owners are also cat owners
III. None of the pet owners have both cats and dogs
A. I only
B. II only
C. I and II only
D. I and III only
E. I, II and III
28 Jan 2023, 14:18
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Bunuel
x + y + z = 465
y + z = 355
x + y = 260
Solving the equations we get,
x = 110, y = 150 and z = 205
Cat Owners = 355
Dog Owners = 260
Both = 150
Answer choice elimination
I. More than half of the cat owners are also dog owners - No
II. More than half of the dog owners are also cat owners - Yes
III. None of the pet owners have both cats and dogs - No
Option B
Attachments
Screenshot 2023-01-29 024535.jpg [ 19.63 KiB | Viewed 3831 times ]
General Discussion
05 Mar 2025, 07:39
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All Pets = Cats + Dogs - (Cat ∩ Dog)
=> 465 = 355 + 260 - (Cat ∩ Dog) => (Cat ∩ Dog) = 150
150 > half of 260 (Total Dog Owners)
Hence, B
=> 465 = 355 + 260 - (Cat ∩ Dog) => (Cat ∩ Dog) = 150
150 > half of 260 (Total Dog Owners)
Hence, B
