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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?


Options:
A .   61% and 20%
B .   60% and 22%
C .   61% and 22%
D .   60% and 20%
Answer: Option C
:
C

Here, S= 222% and X = 100%, S - X = 122% = II + 2 III, Maximum Possible value of all three= 1222 = 61%
For minimum, III = 100 - {(100 - 70) + (100 - 60) + (100 - 92)} = 22% 



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