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Question

In a group of 100 girls, each has to opt for one or more of the three hobby classes: Music, Cooking and Stitching. The number of students who opted for Stitching is more than the number of those who opted for Music which is more than the number of those who opted for Cooking which is more than the number of those who opted for exactly two of the three hobbies, which in turn is more than those who opted for all three hobbies. It is known that at least one student opted for all the three hobbies.
What is the maximum number of girls who opt for only Music Classes?


  1. 50

  2. 51

  3. 49

  4. 48


Solution

The correct option is D

48


To determine the maximum number of girls who opt for only Music Class, we need to maximize the number of girls attending Stitching as well as Music, and we will have to minimize all the other values. Thus,

 

So, number girls attending only music class = 48.Hence option (a)

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