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In a survey of 600 students in a school,...

In a survey of 600 students in a school, 150 students were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee. Find how many students were taking neither tea nor coffee?

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To solve the problem step by step, we can use the principle of set theory. Let's denote: - Let \( T \) be the set of students taking tea. - Let \( C \) be the set of students taking coffee. - Let \( U \) be the universal set of students surveyed. Given data: - Total number of students surveyed, \( |U| = 600 \) ...
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In a survey of 600 students in a school, (i) 160 students were found to be taking tea , 215 taking coffee , 150 were taking both tea and cofee. (ii) 150 students were found to be taking tea and 225 taking coffee , 100 were taking both Tea and Coffee Find how many students were taking neither tea nor coffee.

In a survey conduced on 800 students of a school , 250 students were found to like tea and 300 like coffee , 150 like both tea and coffee .Find how many students like neither tea nor coffee ?

Knowledge Check

  • In a group of 100 persons 85 take tea 20 take coffee and 25 take tea and coffee . Number of persons who take neither tea nor coffee is

    A
    5
    B
    15
    C
    25
    D
    20

  • In a group of 36 persons , 20 take coffiee but not tea. 16 take tea but not coffee. Find the number of persons who take neither tea nor coffee.

    A
    2
    B
    1
    C
    0
    D
    3

  • In a hostel, there are 30 students, 9 of them take tea but not coffee. If 3 of them who take coffee slaso start taking tea, 12 students would be taking both tea and coffee. How many students do not take tea ?

    A
    10
    B
    12
    C
    14
    D
    16

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    In a survey of 400 students in a school , 110 were listed as taking Apple Juice , 140 as taking Orange juice and 85 were listed as taking both Apple as well as Orange juice . Find how many students were taking neither Apple juice nor Orange juice.

    In a survey of 400 students of a school, it is found that 100 students like apple juice, 150 like orange juice and 75 like both. Find how many students do like neither apple not orange juice ?

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