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CBSE Class 11 Science Mathematics · Ch 1: Sets

CBSE Class 11 Science Mathematics · Ch 1: Sets is an online chapter test in the CBSE Class 11 Science pattern, covering Sets. Attempt it on SeatBeat with a timer like the real exam, then see a detailed solution for every question and your score and weak-topic analysis.

30
Questions
20
Minutes
30
Marks
None
Negative marking
Attempt this test free

Topics in this test

TopicQuestions
Sets30

Difficulty: 3 easy · 9 medium · 18 hard

Sample questions with answers

The first 5 questions of this free test.

  1. Q1. Let $U = \{1, 2, 3, \dots, 10\}$, $A = \{2, 4, 6, 8, 10\}$ and $B = \{1, 3, 5, 7, 9\}$. Then $(A \cap B)'$ is

    • A. $\emptyset$
    • B. $\{1, 3, 5, 7, 9\}$
    • C. $\{2, 4, 6, 8, 10\}$
    • D. $\{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}$
    Solution

    Since $A$ and $B$ have no common element, $A \cap B = \emptyset$, and the complement of the empty set is the universal set $U$.

  2. Q2. Which one of the following sets is NOT an empty set (odd one out)?

    • A. $\{x \in \mathbb{R} : x^2 = -1\}$
    • B. $\{x \in \mathbb{R} : x^2 = 4\}$
    • C. $\{x \in \mathbb{R} : x^2 + 1 = 0\}$
    • D. $\{x \in \mathbb{N} : x < 1\}$
    Solution

    $x^2 = 4$ gives the real values $-2$ and $2$, so that set is non-empty, while the other three have no members.

  3. Q3. Assertion (A): The number of proper subsets of the set $\{a, b, c\}$ is $7$. Reason (R): A set with $n$ elements has $2^n - 1$ proper subsets. Choose the correct option.

    • A. A is true but R is false
    • B. Both A and R are true and R is the correct explanation of A
    • C. Both A and R are true but R is not the correct explanation of A
    • D. A is false but R is true
    Solution

    A proper subset is any subset except the set itself, so there are $2^3 - 1 = 7$, and the reason correctly explains the assertion.

  4. Q4. Consider the statements: (i) Every set is a subset of itself. (ii) $\emptyset$ is a subset of every set. (iii) $\{0\}$ is an empty set. Which of these are correct?

    • A. (i) and (iii) only
    • B. (i), (ii) and (iii)
    • C. (ii) and (iii) only
    • D. (i) and (ii) only
    Solution

    Statements (i) and (ii) are standard properties of subsets, but $\{0\}$ has one element $0$, so it is not empty.

  5. Q5. In a class, $21$ students take Mathematics, $26$ take Physics and $29$ take Chemistry. Also $14$ take both Mathematics and Physics, $15$ take both Physics and Chemistry, $12$ take both Mathematics and Chemistry, and $8$ take all three subjects. How many students take at least one of these subjects?

    • A. $51$
    • B. $35$
    • C. $43$
    • D. $42$
    Solution

    Apply $n(A \cup B \cup C) = 21 + 26 + 29 - 14 - 15 - 12 + 8 = 43$.

Frequently asked questions

How many questions are in the CBSE Class 11 Science Mathematics · Ch 1: Sets?

30 questions for 30 marks, to be answered in 20 minutes.

Is there negative marking in the CBSE Class 11 Science Mathematics · Ch 1: Sets?

No — wrong answers are not penalised in this test.

Which topics does the CBSE Class 11 Science Mathematics · Ch 1: Sets cover?

Sets (30 questions).

Is the CBSE Class 11 Science Mathematics · Ch 1: Sets free?

Yes — this test is free. Create a free SeatBeat account and attempt it online; you get the solutions and your score analysis after submitting.

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