Sets and Functions Practice Questions
HSC/SSC (Bangladesh) · HSC Mathematics · 130 free MCQs with instant results and detailed explanations.
130
Total
43
Easy
66
Medium
21
Hard
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Sample Questions from Sets and Functions
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Q1
Easy
If A = {1, 2, 3} and B = {3, 4, 5}, what is A ∩ B?
A.
{3}
B.
{1, 2}
C.
{2, 4}
D.
{1, 2, 3, 4, 5}
Show Answer & Explanation
Correct Answer: A
The intersection of sets A and B, denoted A ∩ B, includes only the elements that are common to both sets. Here, the only common element is 3.
Q2
Easy
Which of the following represents the union of the sets A = {2, 4, 6} and B = {1, 2, 3}?
A.
{1, 2, 3, 4, 6}
B.
{2, 4, 6}
C.
{1, 3, 4, 6}
D.
{1, 2, 3, 4}
Show Answer & Explanation
Correct Answer: A
The union of sets A and B, denoted by A ∪ B, includes all elements that belong to either set A or set B or both. This results in the set {1, 2, 3, 4, 6}.
Q3
Easy
If the set C = {x | x is an even integer less than 10}, which of the following is the correct representation of set C?
A.
{0, 2, 4, 6, 8}
B.
{1, 2, 3, 4, 5}
C.
{2, 4, 6, 8, 10}
D.
{2, 4, 6, 8, 9}
Show Answer & Explanation
Correct Answer: A
The set C includes all even integers that are less than 10. The even integers less than 10 are 0, 2, 4, 6, and 8.
Q4
Medium
Let f(x) = 3x + 2. What is the value of f(4)?
A.
14
B.
12
C.
10
D.
16
Show Answer & Explanation
Correct Answer: A
To find f(4), substitute x with 4 in the function: f(4) = 3(4) + 2 = 12 + 2 = 14.
Q5
Medium
If set X = {a, b, c} and set Y = {b, c, d, e}, what is the union of X and Y?
A.
{a, b, c, d, e}
B.
{b, c}
C.
{a, d, e}
D.
{a, b, c}
Show Answer & Explanation
Correct Answer: A
The union of sets X and Y includes all unique elements from both sets. Combining X and Y gives {a, b, c, d, e}.
Q6
Medium
Which of the following is not a property of functions?
A.
Every element in the domain must map to one and only one element in the codomain.
B.
A function can map two different inputs to the same output.
C.
A function can map an element in the codomain back to multiple elements in the domain.
D.
No function can have a domain that is an infinite set.
Show Answer & Explanation
Correct Answer: D
A function can indeed have an infinite set as its domain, for example, the function f(x) = x for all real numbers. Therefore, option D is incorrect.
Q7
Medium
If A = {x | x is a prime number less than 10}, what is A?
A.
{2, 3, 5, 7}
B.
{1, 2, 3, 4, 5, 6, 7, 8, 9}
C.
{4, 6, 8}
D.
{9, 10}
Show Answer & Explanation
Correct Answer: A
The prime numbers less than 10 are 2, 3, 5, and 7. Therefore, set A is {2, 3, 5, 7}.
Q8
Hard
If A = {x | x is a prime number less than 20} and B = {x | x is an even number less than 20}, what is the set A ∩ B?
A.
{2}
B.
{2, 4, 6, 8, 10, 12, 14, 16, 18}
C.
{2, 3, 5, 7, 11, 13, 17, 19}
D.
{}
Show Answer & Explanation
Correct Answer: A
The only prime number in the set A that is also an even number is 2. All other primes are odd, making A ∩ B = {2}.
Q9
Hard
If A = {x | x is a prime number less than 20} and B = {x | x is an even number less than 20}, what is A ∩ B?
A.
{2}
B.
{2, 4, 6, 8, 10, 12, 14, 16, 18}
C.
{2, 3, 5, 7, 11, 13, 17, 19}
D.
{2, 6, 10, 14, 18}
Show Answer & Explanation
Correct Answer: A
The intersection A ∩ B consists of elements that are both in A and B. The only even prime number is 2, thus A ∩ B = {2}.
Q10
Hard
Let A = {1, 2, 3, 4} and B = {3, 4, 5, 6}. What is the intersection of sets A and B?
A.
{3, 4}
B.
{1, 2}
C.
{5, 6}
D.
{}
Show Answer & Explanation
Correct Answer: A
The intersection of two sets includes elements that are present in both sets. Here, 3 and 4 are the only elements common to both sets A and B.
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Sets and Functions — HSC/SSC (Bangladesh) HSC Mathematics Practice Questions Online
This page contains 130 practice MCQs for the chapter Sets and Functions in HSC/SSC (Bangladesh) HSC Mathematics. The questions are organized by difficulty — 43 easy, 66 medium, 21 hard — so you can choose the right level for your preparation.
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