|
|
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.
04 Aug 2022, 01:30
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
72% (02:49) correct
28%
(02:38)
wrong
based on 126
sessions
History
Date
Time
Result
Not Attempted Yet
Students of a class are made to stand in rows. If 2 students are extra in a row, there would be 1 rows less. If 2 students are less in a row, there would be 2 more rows. Find the number of students in the class.
A. 44
B. 26
C. 24
D. 22
E. 20
Are You Up For the Challenge: 700 Level Questions
A. 44
B. 26
C. 24
D. 22
E. 20
Are You Up For the Challenge: 700 Level Questions
04 Aug 2022, 08:26
Kudos
Bookmarks
Bunuel
We start with x students per row and y rows, so we have xy students.
If we add two students per row, we subtract one row, so (y-1)(x+2) = xy.
If we subtract two students per row, we add two rows, so (y+2)(x-2) = xy.
(y-1)(x+2) = xy
If x = 0, y = 1 ... (0,1)
If y = 0, x = -2 ... (-2,0)
Plot the line that passes through those two points.
(x-2)(y+2) = xy
If x = 0, y = -2 ... (0,-2)
If y = 0, x = 2 ... (2,0)
Plot the line that passes through those two points.
We need where they intersect. Sure looks like (6,4). Let's confirm:
4 rows of 6 students.
3 rows of 8 students.
6 rows of 4 students.
Okay!
Answer choice C.
