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Answered on 10 Feb CBSE/Class 9/Mathematics

Muthu K.

Mathematics Teacher

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Answers 21 Comments Lesson Posted 2 days ago CBSE/Class 9/Mathematics

Sujoy D.

1. Strong concept building classes. 2. Weekly tests in weak areas for students to improve their confidence. 3....

QUESTION In a college, where every student follows at least one of the three activities- dance, music, or sports- 65% follow dance, 86% follow music, and 57% follow sports. What can be the maximum and minimum percentage of students who follow A) All three activities B) Exactly two activities ANSWER Here... read more

**QUESTION**

In a college, where every student follows at least one of the three activities- dance, music, or sports- 65% follow dance, 86% follow music, and 57% follow sports. What can be the maximum and minimum percentage of students who follow

A) All three activities

B) Exactly two activities

**ANSWER**

Here the sum of the three percentage figures is 208%, however since every students is involve in at least one of the three activities, the surplus count is 108%, accounted for by the people engaged in 2 or 3 activities.

A) Exactly 3 activities

Max -> 108% extra is accounted for by 54% ppl, taking 2 extra activities(Total of 3 activities)

Min -> I allocate a 2nd activity to each of the 100%, but I am still left with 8%, which must be born by 8% people having 3 activities

For B)

Max -> 92%, since in worst case scenario 8% ppl must be into all 3 activities

Min -> 0%, In case of 54% ppl being into all 3 activities, as shown in A (Part 1), we end up with 0% ppl being into exactly 2 activities

Max exactly 2 sets cannot be 100%, as total is 208%, we must have a minimum of 8% students who like all three activities, hence only a max of 92% remaining folks can like exactly 2 activities

If you assign all 100% people 2 activities, your total will be 200 and not 208%... Also dint we just conclude that 8% ppl minimum are into 3 activities, So at least these 8% ppl need to be excluded right?

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Comments Asked on 08 Feb CBSE/Class 9/Mathematics Tuition/Class IX-X Tuition

Explain why 7 Ã? 11 Ã? 13 + 13 and 7 Ã? 6 Ã? 5 Ã? 4 Ã? 3 Ã? 2 Ã? 1 + 5 are composite numbers.

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