Bunuel
In a class of 200 students, 30 percent are enrolled in a finance course, and 40 percent are enrolled in an investments course. What percentage of the class is enrolled in neither a finance course nor an investments course?
(1) 25 percent of the class is enrolled in an investments course but not in a finance course.
(2) 15 percent of the class is enrolled in a finance course and also in an investments course.
We can use a 2 * 2 matrix to solve this question.
The information in the premise can be mapped onto a 2 * 2 matrix as shown below -
Attachment:
Screenshot 2024-03-19 003344.png [ 48.28 KiB | Viewed 1116 times ]
Statement 1(1) 25 percent of the class is enrolled in an investments course but not in a finance course.
The information provided in statement 1, can be mapped in the matrix below. From the information provided, we can find the details asked in the question. Hence, the statement alone is sufficient and we can eliminate B, C, and E.
Attachment:
Screenshot 2024-03-19 003432.png [ 56.4 KiB | Viewed 1104 times ]
Statement 2(2) 15 percent of the class is enrolled in a finance course and also in an investments course.
The information provided in statement 2, can be mapped in the matrix below. From the information provided, we can find the details asked in the question. The statement alone is sufficient and we can eliminate A.
Attachment:
Screenshot 2024-03-19 003512.png [ 55.63 KiB | Viewed 1097 times ]
Option D