Sets Test - 12...

Which one of the following is the union of the closed sets, [ 2 + (1/n), 10 - (1/n)], n = 1, 2,....?

If A and B are two sets satisfying A - B = B - A, then which one of the following is correct?

If A and B are finite sets, then which one of the following is the correct equation?

Suppose \(A_1, A_2, ..., A_{30}\) are thirty sets each having 5 elements and \(B_1, B_2, ..., B_n\) are n sets each with 3 elements, let \(\displaystyle\bigcup_{i=1}^{30} A_i\) = \(\displaystyle\bigcup_{j=1}^{n} B_j = s\) and each element of S belongs to exactly 10 of the \(A_i\)'s and exactly 9 of the B,’S. then n is equal to

Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second set. The values of m and n are, respectively,

The set \((A \cap B')' \cup (B \cap C)\) is equal to

Let \(F_1\) be the set of parallelograms, \(F_2\) the set of rectangles, \(F_3\) the set of rhombuses, \(F_4\) the set of squares and \(F_5\) the set of trapeziums in a plane. Then \(F_1\) may be equal to

In a class of 60 students, 25 students play cricket and 20 students play tennis, and 10 students play both the games. Then, the number of students who play neither is

In a town of 840 persons, 450 persons read Hindi, 300 read English and 200 read both. Then the number of persons who read neither is

If X = {\(8^n\) – 7n – 1 | n ∈ N} and Y = {49n – 49 | n ∈ N}. Then

A survey shows that 63% of the people watch a News Channel whereas 76% watch another channel. If x% of the people watch both channel, then

If sets A and B are defined as

A = {(x, y) | y = \(\frac{1}{x}\), 0 ≠ x ∈ R}

B = {(x, y) | y = – x, x ∈ R}, then

If A and B are two sets, then A ∩ (A ∪ B) equals