PUC Science Class 11 - Karnataka Board PUC Question Bank Solutions for Mathematics

Write the following set in roster form:

F = The set of all letters in the word BETTER

Write the following set in the set-builder form:

{3, 6, 9, 12}

Write the following set in the set-builder form:

{2, 4, 8, 16, 32}

Write the following set in the set-builder form:

{5, 25, 125, 625}

Write the following set in the set-builder form:

{2, 4, 6, …}

Write the following set in the set-builder form:

{1, 4, 9, ....., 100}

List all the elements of the following set:

A = {x : x is an odd natural number}

List all the elements of the following set:

B = `{x : x  "is an integer", -1/2 < x < 9/2}`

List all the elements of the following set:

C = {x : x is an integer, x² ≤ 4}

List all the elements of the following set:

D = {x : x is a letter in the word “LOYAL”}

List all the elements of the following set:

E = {x : x is a month of a year not having 31 days}

List all the elements of the following set:

F = {x : x is a consonant in the English alphabet which precedes k}.

Match each of the set on the left in the roster form with the same set on the right described in set-builder form:

If A = {–1, 1}, find A × A × A.

If A × B = {(a, x), (a, y), (b, x), (b, y)}. Find A and B.

Let A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}. Verify that A × (B ∩ C) = (A × B) ∩ (A × C)

Let A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}. Verify that   A × C is a subset of B × D

Let A = {1, 2} and B = {3, 4}. Write A × B. How many subsets will A × B have? List them.

Let A and B be two sets such that n(A) = 3 and n (B) = 2. If (x, 1), (y, 2), (z, 1) are in A × B, find A and B, where x, y and z are distinct elements.

The Cartesian product A × A has 9 elements among which are found (–1, 0) and (0, 1). Find the set A and the remaining elements of A × A.