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Bihar Board Class 11 Science Mathematics · Ch 1: Sets

Bihar Board Class 11 Science Mathematics · Ch 1: Sets is an online chapter test in the Bihar Board 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. If a set $A$ has $6$ elements, then the number of proper subsets of $A$ is

    • A. $63$
    • B. $32$
    • C. $64$
    • D. $62$
    Solution

    The total number of subsets is $2^6 = 64$; a proper subset cannot be the set itself, so we subtract $1$ to get $63$.

  2. Q2. Consider the statements: (I) The set of all natural numbers is an infinite set. (II) Two sets $A$ and $B$ are equal if they have the same number of elements. (III) The empty set is a subset of every set. Which statements are correct?

    • A. I and III only
    • B. I and II only
    • C. I, II and III
    • D. II and III only
    Solution

    Statements I and III are true; statement II is wrong because having the same number of elements makes sets equivalent, not equal — equal sets must have exactly the same elements.

  3. Q3. Assertion (A): Every set is a subset of itself. Reason (R): The empty set is a subset of every set. Choose the correct option.

    • A. Both A and R are true, and R is the correct explanation of A
    • B. A is true but R is false
    • 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

    Both statements are true, but the fact about the empty set does not explain why a set is a subset of itself, so R is not the correct explanation of A.

  4. Q4. The set $\{x \in \mathbb{R} : -3 \le x < 5\}$ written as an interval is

    • A. $[-3, 5)$
    • B. $(-3, 5)$
    • C. $[-3, 5]$
    • D. $(-3, 5]$
    Solution

    A square bracket includes the end point and a round bracket excludes it, so $-3$ is included and $5$ is excluded, giving $[-3, 5)$.

  5. Q5. Which of the following is a correct statement of De Morgan's law?

    • A. $(A \cap B)' = A' \cap B'$
    • B. $(A \cup B)' = A \cap B$
    • C. $(A \cup B)' = A' \cap B'$
    • D. $(A \cup B)' = A' \cup B'$
    Solution

    By De Morgan's law, the complement of a union equals the intersection of the complements: $(A \cup B)' = A' \cap B'$.

Frequently asked questions

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

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

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

No — wrong answers are not penalised in this test.

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

Sets (30 questions).

Is the Bihar Board 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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Bihar Board Class 11 Science Mathematics · Ch 1: Sets — Free Online Mock Test | SeatBeat