Bunuel
Out of the students in a certain college, 60% study more than 20 hours a week and 35% hold a full time job. What is the proportion of students that study more than 20 hours a week and hold a full time job ?
(1) 12% of the students study less than 20 hours and don't hold a full time job
(2) 28% of the students study less than 20 hours and hold a full time job
We can use a 2 * 2 matrix to plot the information and to work with each individual statement.
Assume ⇒ Number of students = 100
Let's fill in the matrix with the information given in the premise. Upon doing so, we get
Attachment:
Screenshot 2023-01-09 113302.jpg [ 40.23 KiB | Viewed 1000 times ]
Statement 112% of the students study less than 20 hours and don't hold a full time jobUsing the information from statement 1, we can get the value of x.
Hence the statement is sufficient.
Attachment:
Screenshot 2023-01-09 113356.jpg [ 40.86 KiB | Viewed 1010 times ]
Statement 228% of the students study less than 20 hours and hold a full time jobUsing the information from statement 2, we can get the value of x.
Hence the statement is also sufficient.
Attachment:
Screenshot 2023-01-09 113631.jpg [ 37.31 KiB | Viewed 1012 times ]
Option D