All students in a certain law school are in either first, second, or third year, and there is an equal number of students in each year. All students in the school are either full-time or part-time, and there are twice as many full-time students as part-time students. All students in first year are full-time, and there are as many part-time students in second year as there are in third year. If there are 600 total students in the law school, how many are full-time students in third year?
a. 100
b. 200
c. 300
d. 400
e. 500
Answer: A
Source: Princeton Review
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
All students in a certain law school are in either first, second, or third year,
This topic has expert replies
-
BTGModeratorVI
- Legendary Member
- Posts: 1223
- Joined: Sat Feb 15, 2020 2:23 pm
- Followed by:1 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
GMAT/MBA Expert
-
Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
There are twice as many full-time students as part-time students...There are 600 total students in the law schoolBTGModeratorVI wrote: ↑Sun Sep 27, 2020 7:02 amAll students in a certain law school are in either first, second, or third year, and there is an equal number of students in each year. All students in the school are either full-time or part-time, and there are twice as many full-time students as part-time students. All students in first year are full-time, and there are as many part-time students in second year as there are in third year. If there are 600 total students in the law school, how many are full-time students in third year?
a. 100
b. 200
c. 300
d. 400
e. 500
Answer: A
Source: Princeton Review
Let x = number of part-time students
So, 2x = number of full-time students
We can write: x + 2x = 600
Simplify: 3x = 600
Solve: x = 200
So, there are 200 part-time students and 400 full-time students
All students in a certain law school are in either first, second, or third year, and there is an equal number of students in each year.......there are 600 total students in the law school
600/3 = 200
So, there are:
200 students in first year
200 students in second year
200 students in third year
All students in first year are full-time, and there are as many part-time students in second year as there are in third year.
So, the 200 part-time students are equally distributed between the second and third year students, which means there are 100 part-time students in the second year, and 100 part-time students in the third year.
If there are 100 part-time students in the third year, then the remaining 100 third-year students must be full-time
Answer: A
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Too much words but a very easy question if you follow it step wise..BTGModeratorVI wrote: ↑Sun Sep 27, 2020 7:02 amAll students in a certain law school are in either first, second, or third year, and there is an equal number of students in each year. All students in the school are either full-time or part-time, and there are twice as many full-time students as part-time students. All students in first year are full-time, and there are as many part-time students in second year as there are in third year. If there are 600 total students in the law school, how many are full-time students in third year?
a. 100
b. 200
c. 300
d. 400
e. 500
Answer: A
Source: Princeton Review
A) Total 600
B) I=II=III, so each year \(= 600/3=200\)
C) full time twice of part time, so full =2(part).. thus full+part=3*part=600..part=200 and full = 400..
D) I=200=full time, so we have 200 full time in II and III..
Now full in II and III are equal so \(200/2=100\)
Therefore, A
GMAT/MBA Expert
-
Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7243
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
Solution:BTGModeratorVI wrote: ↑Sun Sep 27, 2020 7:02 amAll students in a certain law school are in either first, second, or third year, and there is an equal number of students in each year. All students in the school are either full-time or part-time, and there are twice as many full-time students as part-time students. All students in first year are full-time, and there are as many part-time students in second year as there are in third year. If there are 600 total students in the law school, how many are full-time students in third year?
a. 100
b. 200
c. 300
d. 400
e. 500
Answer: A
Since there are 600 total students in the law school, there are 200 students in each year. Furthermore, there are 400 full-time and 200 part-time students. Since all students in first year are full-time, there are no students in first year who are part-time. Since there are as many part-time students in second year as there are in third year, there must be 200/2 = 100 students in third year who are part-time. Therefore, there must be 200 - 100 = 100 students in third year who are full-time.
Answer: A
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
