Question

In a Degree college there are 3 branches and it is mandatory to opt for at least one branch. 70% students opted for Science, 60% students opted for commerce and 92% students opted for Arts. A student can opt more than one branch. What is the maximum and minimum number of students that can opt all three streams?

• A. 61% and 20%
• B. 60% and 22%
• C. 61% and 22%
• D. 60% and 20%

Answer 1

The correct option is C

61% and 22%

Here, S= 222% and X = 100%, S - X = 122% = II + 2 III, Maximum Possible value of all three= $\frac{122}{2}$ = 61%
For minimum, III = 100 - {(100 - 70) + (100 - 60) + (100 - 92)} = 22%