Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Jun 0308:30 AM PDT
-09:30 AM PDT
In Episode 7 of our GMAT Ninja CR series, we are rounding up the oddballs, the misfits, and the format-benders: EXCEPT, Fill-In-The-Blanks, and other unusual Critical Reasoning question types. When you see a question that ends with a literal blank line
May 2910:00 AM IST
-11:00 PM IST
Start your journey with a fully customized action plan and work with a dedicated mentor to achieve a 735+ score.- Jun 04
08:30 AM PDT
-09:30 AM PDT
For most test takers, Data Insights is the most challenging section on the GMAT, with test takers scoring several points lower on average on DI than on Quant or Verbal and completing the section with less time to spare. - Jun 10
06:00 AM PDT
-06:15 PM PDT
Register for the GMAT Club Virtual MBA Spotlight Fair – the world’s premier event for serious MBA candidates. This is your chance to hear directly from Admissions Directors at nearly every Top 30 MBA program..
11 Feb 2007, 03:37
Kudos
Bookmarks
At a park, people were walking their dogs and cats. It is known that there were more dogs than people. Altogether, dogs and people had 100 feet and heads. It is also known that there were 3 times as many dogs and people as cats. How many cats were there in the park?
6
8
9
10
15
I started like this:
100 = 4L + 2L + H +H
100 = 6L + 2H
It would be great if someone could finish what I started ... to the extent possible
6
8
9
10
15
I started like this:
100 = 4L + 2L + H +H
100 = 6L + 2H
It would be great if someone could finish what I started ... to the extent possible
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
11 Feb 2007, 10:41
Kudos
Bookmarks
ggarr
Good Question.
Assuming: P = People, D = Dog, and C = Cat
People has 1 head 2 feet. Total of people's head and feet = P + 2P = 3P
Dog has 1 head 4 feet. Total of dog's head and feet = D + 4D = 5D
From question: 3P + 5D = 100
This is the linear equation. The possible outcomes are:
(P,D)
(5, 17)
(10, 14)
(15, 11)
(20, 8)
...
However, one condition from the question told us that P < D. We are left with 2 pairs of (P,D)
(5, 17)
(10, 14)
From question (P+D)/3 = C
Only (10, 14) will make C possible.
C = (10 + 14)/3 = 24/3 = 8
There are 8 cats in the park.
11 Feb 2007, 10:57
Kudos
Bookmarks
i like your way devil....
i solved it differently.... (i hate equations) by simply back solving.
i always start with the middle answer which is 9 in this case...
if there were 9 cats, there would be 27 dogs and people. which means that there are at least 14 dogs, which add 70 to the head+feet count. together with 13 people (which add 39) this is already too much. and this was the minimum number of dogs (more dogs add even more feet)...
so 9 cats is too many.
then i tried 8. which seem feasible (24 dogs+people), then 13 dogs ad 65 and 11 people add 33... almost there... 14 dogs would do the job.
then double checked 6:
6 cats, mean 18 dogs and people, but even 18 dogs don't add enough to the feet&head count... hence cannot happen.
8 is the correct answer.
i like devil's way better, because it reduces the possible answers rather fast. you find real fast the P must be divisible by 5. then you are down to just 2 possible answers for P,D... and their sum must be a multiple of 3.... wow... fast,neat and clean....
i solved it differently.... (i hate equations) by simply back solving.
i always start with the middle answer which is 9 in this case...
if there were 9 cats, there would be 27 dogs and people. which means that there are at least 14 dogs, which add 70 to the head+feet count. together with 13 people (which add 39) this is already too much. and this was the minimum number of dogs (more dogs add even more feet)...
so 9 cats is too many.
then i tried 8. which seem feasible (24 dogs+people), then 13 dogs ad 65 and 11 people add 33... almost there... 14 dogs would do the job.
then double checked 6:
6 cats, mean 18 dogs and people, but even 18 dogs don't add enough to the feet&head count... hence cannot happen.
8 is the correct answer.
i like devil's way better, because it reduces the possible answers rather fast. you find real fast the P must be divisible by 5. then you are down to just 2 possible answers for P,D... and their sum must be a multiple of 3.... wow... fast,neat and clean....
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
