Sets Test - 3...

Which of the following is an empty set?

If A = {letters of the word xerox} and B = {x, y, z, w}, then find A ∪ B.

If X = {4ⁿ – 3n – 1 : n ∈ N} and Y = {9 (n – 1) : n ∈ N}, then which of the following is equal to X U Y?

Given that aN = {ax : x ∈ N} and bN ∩ cN = dN, where b, c ∈ N and b, c are co-prime to each other.

Which of the following conditions is true according to the statement given above?

If N_a = {an : n ∈ N}, find the value of N₆ ∩ N₈.

In a meeting of 100 people, there were 23 Indian men and 29 Indian women. Of these Indian people, 4 were dentists and 24 were either men or dentists. Assuming that there were no foreign dentists, find the number of female dentists who attended the meeting.

In a group of 50 persons, everyone takes either tea or coffee. If 35 persons take tea and 25 persons take coffee, then the number of persons who take tea only (and not coffee) is