GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Feb 2019, 23:26

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### Free GMAT Prep Hour

February 20, 2019

February 20, 2019

08:00 PM EST

09:00 PM EST

Strategies and techniques for approaching featured GMAT topics. Wednesday, February 20th at 8 PM EST

February 21, 2019

February 21, 2019

10:00 PM PST

11:00 PM PST

Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.

# If 45% of study participants liked dogs, 60% liked cats, and 25% liked

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 12 Aug 2015
Posts: 283
Concentration: General Management, Operations
GMAT 1: 640 Q40 V37
GMAT 2: 650 Q43 V36
GMAT 3: 600 Q47 V27
GPA: 3.3
WE: Management Consulting (Consulting)
If 45% of study participants liked dogs, 60% liked cats, and 25% liked  [#permalink]

### Show Tags

12 Sep 2015, 11:29
1
1
00:00

Difficulty:

15% (low)

Question Stats:

79% (00:48) correct 21% (01:12) wrong based on 58 sessions

### HideShow timer Statistics

If 45% of study participants liked dogs, 60% liked cats, and 25% liked neither, what percent liked both cats and dogs?

A. 15%
B. 20%
C. 25%
D. 30%
E. 35%

_________________

KUDO me plenty

Manager
Status: single
Joined: 19 Jan 2015
Posts: 85
Location: India
GPA: 3.2
WE: Sales (Pharmaceuticals and Biotech)
Re: If 45% of study participants liked dogs, 60% liked cats, and 25% liked  [#permalink]

### Show Tags

12 Sep 2015, 20:57
1
In overlappping sets

Total-N=A+B -both.

N=neither,

A=Number of people in category A and both groups

B=Number of people in category B and both gorups

Both=number of people in both groups,

25% liked neither so total-n=75%=60%+45%-both
=30%.
so option D is correct
Director
Joined: 04 Dec 2015
Posts: 740
Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
If 45% of study participants liked dogs, 60% liked cats, and 25% liked  [#permalink]

### Show Tags

27 Jan 2019, 00:41
If 45% of study participants liked dogs, 60% liked cats, and 25% liked neither, what percent liked both cats and dogs?

A. 15%
B. 20%
C. 25%
D. 30%
E. 35%

Let total number of people participated be $$= 100$$

$$45$$% of total liked dogs $$= 45$$% of $$100 = \frac{45}{100}*100 = 45$$

$$60$$% of total liked cats $$= 60$$% of $$100 = \frac{60}{100}*100 = 60$$

$$25$$% of total liked neither $$= 25$$% of $$100 = \frac{25}{100}*100 = 25$$

Total $$=$$ Liked Dogs $$+$$ Liked Cats $$-$$ Liked Both $$+$$ Liked Neither

$$100 = 45 + 60$$ $$-$$ Liked Both $$+ 25$$

$$100 = 130$$ $$-$$ Liked Both

Liked Both $$= 130 - 100 = 30$$

Therefore Percentage of people participated liked both cats and dogs $$= 30$$%

If 45% of study participants liked dogs, 60% liked cats, and 25% liked   [#permalink] 27 Jan 2019, 00:41
Display posts from previous: Sort by