JAMB Mathematics questions

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

All JAMB WAEC

Question 401· Sets· JAMB
If A ∪ B = A, then
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Answer: A. B is a subset of A
Explanation and discussion
Question 402· Sets· JAMB
How many elements has the set of factors of 12?
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Answer: B. 6
Explanation and discussion
Question 403· 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).
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Answer: A. 2
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Question 404· Sets· JAMB
If n(A) = 12, n(B) = 9 and n(A ∩ B) = 4, find n(A ∪ B).
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Answer: B. 17
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Question 405· Sets· JAMB
The set {x : x² = −1, x is a real number} is
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Answer: D. the empty set
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Question 406· Sets· JAMB
In a group of 50 students, 30 like rice, 25 like beans and 10 like both. How many like neither?
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Answer: A. 5
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Question 407· Sets· JAMB
Of 60 people surveyed, 35 read Punch, 30 read Vanguard and 5 read neither. How many read both newspapers?
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Answer: A. 10
Explanation and discussion
Question 408· Sets· JAMB
The complement of A′ (that is, (A′)′) is
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Answer: C. A
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Question 409· Sets· JAMB
How many elements has the power set of {a, b, c}?
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Answer: B. 8
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Question 410· Sets· JAMB
If n(A ∪ B) = 30, n(A) = 18 and n(B) = 20, find n(A ∩ B).
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Answer: A. 8
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Question 411· 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?
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Answer: C. 30
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Question 412· Sets· JAMB
How many proper subsets has a set with 5 elements?
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Answer: D. 31
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Question 413· Sets· JAMB
If P = {2, 4, 6, 8} and Q = {4, 8, 12}, find P ∩ Q.
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Answer: C. {4, 8}
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Question 414· Sets· JAMB
Of 60 traders, 35 sell rice, 30 sell beans and 12 sell both. How many sell neither?
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Answer: C. 7
Explanation and discussion
Question 415· Sets· JAMB
U = {1, 2, 3, …, 12} and A is the set of multiples of 3 in U. Find n(A).
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Answer: D. 4
Explanation and discussion
Question 416· Sets· JAMB
A = {a, e, i, o, u} and B = {a, b, c, d, e}. Find n(A ∪ B).
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Answer: C. 8
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Question 417· 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).
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Answer: A. 2
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Question 418· Sets· JAMB
If A = {x : x is a prime number less than 10}, find n(A).
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Answer: D. 4
Explanation and discussion
Question 419· Sets· JAMB
U = {1, 2, 3, …, 10} and A is the set of even numbers in U. Find n(A′).
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Answer: C. 5
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Question 420· Sets· JAMB
If P = {x : 2 < x ≤ 9, x is a prime number}, list the elements of P.
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Answer: A. {3, 5, 7}
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JAMB Mathematics questions

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).

If A = {x : x is a prime number less than 10}, find n(A).

U = {1, 2, 3, …, 10} and A is the set of even numbers in U. Find n(A′).

If P = {x : 2 < x ≤ 9, x is a prime number}, list the elements of P.