Sets Test - 48...

If \(A=\{x: x\) is a multiple of 3\(\}, B=\{x: x\) is a multiple of 4\(\}\) and \(C=\{x: x\) is a multiple of 12\(\}\), then \(A \cap(B \cap C)\) is equal to:

In a class of 50, 20 students like mathematics, 15 like science and 5 like both mathematics and science. Find the number of students who do not like any of the 2 subjects.

Write the set builder form for \(\mathrm{B}=\{1,2,4,7,14,28\}\).

Find the intersection of following sets: \(A=\{x: x\) is a natural number and 1 \(

The power set of \(\{0,1,2, \ldots, 9\}\) is:

If \(A=\) The set of letters in English alphabet and \(B=\) The set of even prime numbers then which of the following is true ?

In a survey of 1,000 consumers, it is found that 720 consumers liked product A and 450 liked product \(B\). What is the least number that must have liked both the products?

Which of the following is the roster form of the set \(A=\left\{4 x^{2}- x-5=0: x \in I\right\}\)?

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:

If \(A\) and \(B\) are two sets then \(A \cap(B \cup A)^{c}\) is equal to: