Set Test - 1...

Two finite sets A and B have x and y elements respectively. The number of elements in the power set of A is 120 more than the number of elements in the power set of B. What are the values of x and y respectively?

Use the following information to answer the next question.

For the set A = {0, {1, Φ}, −1, 3}, four statements are given below.

I. {Φ} ⊂ A

II. {1, Φ} ⊂ A

III. {0, −1} ⊂ A

IV. {Φ, {1, Φ}} ⊂ A

How many statements are incorrect?

Which of the following statements is incorrect with respect to the set, A = {x : x = 2ⁿ , n∈N}?

Which of the following statements is correct?

What is the cardinal number of a set defined by {x: x is a prime number and divisible by 7}?

Which of the following alternatives correctly shows the roster form of the set of whole numbers less than 30 and divisible by 5?

Which of the following is not a set?

The numbers of elements in sets X and Y are a and b, respectively. The number of proper subsets of X is 224 more than the number of proper subsets of Y. What are the respective values of a and b?

Consider two sets A = {p, q, r, s} and B = {p, q, r, s, t, u, v, w, x, y, z}. Which of the following statements is not correct?