Venn Diagrams Test 2

Instructions

Read the following information carefully and answer the questions that follow.
A school comprising of 300 students has a rule of extracurricular activities, of which at least one is compulsory. However, a student can opt for more than one activity if they want. There are 3 types of extracurricular activities that the school offer- Art, Music, and Sports. 175 students opted for Art, 180 for Music and 130 for Sports.

Q 1

Find the maximum number of students who opted for all the three activities.

Q 2

Find the minimum number of students who opted for exactly one activity.

Q 3

Find the maximum number of students who opted for exactly two out of three activities.

Instructions

For the following questions answer them individually

Q 4

In a neighbourhood consisting of 150 people, 66 drink tea, 45 drink coffee and 42 drink ice-tea. 27 people drink exactly 2 of the 3 beverages. 3 people drink all 3 beverages. How many people in the neighbourhood drink none of the three beverages?

Q 5

The total number of families in a town is 2500. The number of families who own a TV is 1650 and the number of families who own a radio is 1500. Let N represent the number of families who own both. What is the difference between the maximum and minimum values of N?

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# Name Overall Score
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