JAMB Mathematics questions: Sets

24 questions with answers and explanations. Tap an option to check yourself.

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Question 1· Sets· JAMB
If A is a subset of B, then A ∩ B is equal to
Explanation and discussion
Question 2· Sets· JAMB
In a class of 40 students, 25 offer Physics, 22 offer Chemistry and 5 offer neither. How many offer both?
Explanation and discussion
Question 3· Sets· JAMB
How many subsets has the set {a, b, c, d}?
Explanation and discussion
Question 4· Sets· JAMB
If A ∪ B = A, then
Explanation and discussion
Question 5· Sets· JAMB
How many elements has the set of factors of 12?
Explanation and discussion
Question 6· Sets· JAMB
U = {1, 2, ..., 12}, X is the set of even numbers and Y the set of multiples of 3. Find n(X ∩ Y).
Explanation and discussion
Question 7· Sets· JAMB
If n(A) = 12, n(B) = 9 and n(A ∩ B) = 4, find n(A ∪ B).
Explanation and discussion
Question 8· Sets· JAMB
The set {x : x² = −1, x is a real number} is
Explanation and discussion
Question 9· Sets· JAMB
In a group of 50 students, 30 like rice, 25 like beans and 10 like both. How many like neither?
Explanation and discussion
Question 10· Sets· JAMB
Of 60 people surveyed, 35 read Punch, 30 read Vanguard and 5 read neither. How many read both newspapers?
Explanation and discussion
Question 11· Sets· JAMB
The complement of A′ (that is, (A′)′) is
Explanation and discussion
Question 12· Sets· JAMB
How many elements has the power set of {a, b, c}?
Explanation and discussion
Question 13· Sets· JAMB
If n(A ∪ B) = 30, n(A) = 18 and n(B) = 20, find n(A ∩ B).
Explanation and discussion
Question 14· Sets· JAMB
In a class, 18 students study French, 15 study Hausa, 6 study both and 3 study neither. How many students are in the class?
Explanation and discussion
Question 15· Sets· JAMB
How many proper subsets has a set with 5 elements?
Explanation and discussion
Question 16· Sets· JAMB
If P = {2, 4, 6, 8} and Q = {4, 8, 12}, find P ∩ Q.
Explanation and discussion
Question 17· Sets· JAMB
Of 60 traders, 35 sell rice, 30 sell beans and 12 sell both. How many sell neither?
Explanation and discussion
Question 18· Sets· JAMB
U = {1, 2, 3, …, 12} and A is the set of multiples of 3 in U. Find n(A).
Explanation and discussion
Question 19· Sets· JAMB
A = {a, e, i, o, u} and B = {a, b, c, d, e}. Find n(A ∪ B).
Explanation and discussion
Question 20· Sets· JAMB
n(U) = 40, n(A) = 24 and n(B) = 18. Every element of U is in A or B. Find n(A ∩ B).
Explanation and discussion

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JAMB Mathematics questions: Sets

If A is a subset of B, then A ∩ B is equal to

In a class of 40 students, 25 offer Physics, 22 offer Chemistry and 5 offer neither. How many offer both?

How many subsets has the set {a, b, c, d}?

If A ∪ B = A, then

How many elements has the set of factors of 12?

U = {1, 2, ..., 12}, X is the set of even numbers and Y the set of multiples of 3. Find n(X ∩ Y).

If n(A) = 12, n(B) = 9 and n(A ∩ B) = 4, find n(A ∪ B).

The set {x : x² = −1, x is a real number} is

In a group of 50 students, 30 like rice, 25 like beans and 10 like both. How many like neither?

Of 60 people surveyed, 35 read Punch, 30 read Vanguard and 5 read neither. How many read both newspapers?

The complement of A′ (that is, (A′)′) is

How many elements has the power set of {a, b, c}?

If n(A ∪ B) = 30, n(A) = 18 and n(B) = 20, find n(A ∩ B).

In a class, 18 students study French, 15 study Hausa, 6 study both and 3 study neither. How many students are in the class?

How many proper subsets has a set with 5 elements?

If P = {2, 4, 6, 8} and Q = {4, 8, 12}, find P ∩ Q.

Of 60 traders, 35 sell rice, 30 sell beans and 12 sell both. How many sell neither?

U = {1, 2, 3, …, 12} and A is the set of multiples of 3 in U. Find n(A).

A = {a, e, i, o, u} and B = {a, b, c, d, e}. Find n(A ∪ B).

n(U) = 40, n(A) = 24 and n(B) = 18. Every element of U is in A or B. Find n(A ∩ B).