Teacher's Resources

7. Set Theory

Click the correct answer (True & False).

The set of all stars in the universe is a finite set.

True

False

X = {2, 4, 5, 6} and Y = {5, 6, 2, 4} are the same set.

True

False

A = {a, e, i, o, u} and B = {u, e, o, i, a} are not the same sets.

True

False

The sets {1, 0, 5, 9, 13} and {1, 5, 9, 13} are the same.

True

False

If B is a set of letters in the word ‘STATISTICS’, then B = {S, T, A, I, C}.

True

False

A set of first four prime numbers in set-builder form is given by {2, 3, 5, 7}.

True

False

If A = {1, 3, 4, 5}, then n(A) = 5.

True

False

If X = {x | x ∈ W}, then 1 ∈ X.

True

False

If B = {x | –3 ≤ x ≤ 5}, then –4 ∈ B.

True

False

If Y = {x | x + 5 = 0, x ∈ Z}, then –5 ∈ Y.

True

False

Click the correct answer.

If X be the set of the letters of the word JANUARY, then which of the following is correct?

S ∈ X

M ∈ X

A ∉ X

K ∉ X

Given that B = {2, 3, 4} and C = {a, b, c, d, e}. If set A contains all the mibers of sets B and C, then what is the cardinality of set A?

Which of the following sets has no element?

A set of multiples of 2.

A set of factors of 5.

A set of negative whole numbers.

A set of positive natural numbers.

Which symbol denotes a null set?

{ } or ϕ

{ } or ∈

{ } or ∉

ϕ or ∈

What is the roster form of the set X of first five multiples of 6?

X = {6, 18, 24, 30, 36}

X = {12, 18, 24, 30, 36}

X = {6, 12, 14, 20, 30}

X = {6, 12, 18, 24, 30}

What is the roster form of the set A of whole numbers less than 25 which are multiples of 4?

A = {4, 10, 12, 14, 20, 22}

A = {4, 6, 8, 10, 12, 14}

A = {4, 8, 12, 16, 20, 24}

A = {4, 8, 16, 32, 64, 128}

What is the roster form of the set P of prime numbers between 15 and 30?

P = {15, 17, 21, 23}

P = {17, 19, 23, 29}

P = {15, 17, 23, 27}

P = {17, 21, 23, 27}

What is the roster form of the set B of the letters of the word ‘INFINITE’?

B = {I, N, F, I, T}

B = {I, N, I, T, E}

B = {I, N, F, I, N, I, T, E}

B = {I, N, F, T, E}

What is the roster form of the set A of all the vowels of the word 'GEOMETRY'?

A = {G, M}

A = {T, Y}

A = {E, O}

A = {G, E}

What is the roster form of the set A = {x | 7x + 7 = 14, x ∈ Z}?

A = {7}

A = {4}

A = {2}

A = {1}

Click each box on the left and also click on the matching box of the right.

Match the sets with their cardinalities.

X = {1, 2, 3, 4, …}

Y = {a, b, c, d, e, f}

N = {x | x is a negative natural number}

M = {x | x is a multiple of 2 less than 10}

S = {x | x is a prime number between 10 and 15}

not defined

Click the correct answer.

The cardinality of set A = {x | x > 5, x ∈ N} is .

not defined

infinite

The set of all Hindi alphabets which are also an English alphabet is an set.

empty

infinite

If X is the set of letters of the word ‘ANDHRA PRADESH’, then T X.

∈

∉

If X is the set of letters of the word ‘ANDHRA PRADESH’, then P X.

∈

∉

If X is the set of letters of the word ‘ANDHRA PRADESH’, then S X.

∉

∈

If X is the set of letters of the word ‘ANDHRA PRADESH’, then M X.

∉

∈

If A = {x | x is an even number less than 20}, then 12 A.

∉

∈

If A = {x | x is an even number less than 20}, then 7 A.

∈

∉

If M is the set of the first seven multiples of 5, then 1 M.

∈

∉

If M is the set of the first seven multiples of 5, then 10 M.

∈

∉

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