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11th Revision Quiz: Sets-02 (23/03/21)
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Question 1
Two newspapers A and B are published in a city. It is known that 25% of the city population reads A and 20% reads B while 8% reads both A and B. Further, 30% of those who read A but not B look into advertisements and 40% of those who read B but not A also look into advertisements, while 50% of those who read both A and B look into advertisements. Then the percentage of the population who look into advertisements is:
Question 2
In a class of 140 students numbered 1 to 140, all even numbered students opted Mathematics course, those whose number is divisible by 3 opted Physics course and those whose number is divisible by 5 opted Chemistry course. Then the number of students who did not opt for any of the three courses is:
Question 3
Let Z be the set of integers. If A = {xϵZ : 2^(x + 2) (x2 – 5x + 6) = 1} and B = {xϵZ : –3 < 2x – 1 < 9}, then the number of subsets of the set A × B, is :
Question 4
A = {x : x is a prime number} and B = {x : x is a composite number} then what is the relationship between the two sets ?
Question 5
Consider the two sets:
both the roots of x2 (m + 1)x + m + 4 = 0 are real} and B = [3, 5).
Which of the following is not true?
Question 6
A survey shows that 63% of the people in a city read newspaper A whereas 76% read newspaper B. If x% of the people read both the newspapers, then a possible value of x can be:
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Mar 23JEE & BITSAT