Please help me solve this:
Of the 100 pet owners who respond to a survey, 50 own cats, 42 own dogs, and 7 own both. How many respondents own neither a cat nor a dog?
a. 7
b. 8
c. 10
d. 12
e. 15
Pet owner
This topic has expert replies
-
- Legendary Member
- Posts: 2326
- Joined: Mon Jul 28, 2008 3:54 am
- Thanked: 173 times
- Followed by:2 members
- GMAT Score:710
P (AUB) = P(A) + p(B) - P(AnB)jcnissi wrote:Please help me solve this:
Of the 100 pet owners who respond to a survey, 50 own cats, 42 own dogs, and 7 own both. How many respondents own neither a cat nor a dog?
a. 7
b. 8
c. 10
d. 12
e. 15
= 50 +42 -7
=85
Total = p(AUB) + Neither of( A or B)
100 = 85 + Neither of( A or B)
Neither of( A or B)
= 15
Pick[spoiler] E[spoiler[/spoiler]][/spoiler]
- Stuart@KaplanGMAT
- GMAT Instructor
- Posts: 3225
- Joined: Tue Jan 08, 2008 2:40 pm
- Location: Toronto
- Thanked: 1710 times
- Followed by:614 members
- GMAT Score:800
In words rather than symbols:jcnissi wrote:Please help me solve this:
Of the 100 pet owners who respond to a survey, 50 own cats, 42 own dogs, and 7 own both. How many respondents own neither a cat nor a dog?
a. 7
b. 8
c. 10
d. 12
e. 15
True # of items = (total # in group 1) + (total # in group 2) + (# in neither) - (# in both groups)
or, more simply:
True # = G1 + G2 + neither - both
In this question:
True # = 100
Cats = 50
Dogs = 42
Both = 7
So:
100 = 50 + 42 + neither - 7
100 = 85 + neither
15 = neither... choose (E).
Stuart Kovinsky | Kaplan GMAT Faculty | Toronto
Kaplan Exclusive: The Official Test Day Experience | Ready to Take a Free Practice Test? | Kaplan/Beat the GMAT Member Discount
BTG100 for $100 off a full course
- outreach
- Legendary Member
- Posts: 748
- Joined: Sun Jan 31, 2010 7:54 am
- Thanked: 46 times
- Followed by:3 members
total=100
c=50
d=42
c and d=7
only c=50-7=43
only d=35
total people who own animals= 43+35+7=85
people who do not own animals=100-85=15
E
c=50
d=42
c and d=7
only c=50-7=43
only d=35
total people who own animals= 43+35+7=85
people who do not own animals=100-85=15
E
jcnissi wrote:Please help me solve this:
Of the 100 pet owners who respond to a survey, 50 own cats, 42 own dogs, and 7 own both. How many respondents own neither a cat nor a dog?
a. 7
b. 8
c. 10
d. 12
e. 15
-------------------------------------
--------------------------------------
General blog
https://amarnaik.wordpress.com
MBA blog
https://amarrnaik.blocked/
--------------------------------------
General blog
https://amarnaik.wordpress.com
MBA blog
https://amarrnaik.blocked/
GMAT/MBA Expert
- Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7242
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
We can create the equation:jcnissi wrote:Please help me solve this:
Of the 100 pet owners who respond to a survey, 50 own cats, 42 own dogs, and 7 own both. How many respondents own neither a cat nor a dog?
a. 7
b. 8
c. 10
d. 12
e. 15
Total = cat owners + dog owners - both + neither
100 = 50 + 42 - 7 + n
100 = 85 + n
15 = n
Answer: E
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews