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CBSE Class 11 (Commerce) Sets — practice questions — page 2

Explore 74 free Sets questions in CBSE Class 11 (Commerce) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Sets questions and exercises with answers

Showing questions 31–60 of 74.

Is every set a subset of itself?Read the answer and worked solution →The empty set is a subset of:Read the answer and worked solution →A set with exactly one element is called a:Read the answer and worked solution →The open interval (a, b) leaves out:Read the answer and worked solution →How many subsets does {1, 2} have?Read the answer and worked solution →The collection of all subsets of A is called the:Read the answer and worked solution →In a Venn diagram the universal set is usually drawn as a:Read the answer and worked solution →A = {2, 4, 6, 8} and B = {6, 8, 10, 12}. In A union B the elements 6 and 8 appear:Read the answer and worked solution →U = {1, 2, ..., 10} and A = {1, 3, 5, 7, 9}. The complement of A is:Read the answer and worked solution →Catch the real setsRead the answer and worked solution →Pop the empty setsRead the answer and worked solution →Steer into the sets laneRead the answer and worked solution →Slice the set wordsRead the answer and worked solution →Finite or infiniteRead the answer and worked solution →Which operation is itRead the answer and worked solution →One word is wrongRead the answer and worked solution →Sets bingoRead the answer and worked solution →Who is regarded as the originator of the modern theory of sets?Read the answer and worked solution →How many elements does the set of all natural-number divisors of 42 have?Read the answer and worked solution →How many elements does {x : x is a positive integer and x^2 < 40} have?Read the answer and worked solution →Which is the set-builder form of {1, 4, 9, 16, 25, ...}?Read the answer and worked solution →What is the largest element of {x : x is a natural number and 3 < x < 10}?Read the answer and worked solution →Which symbol denotes the empty set?Read the answer and worked solution →The set {x : x^2 - 2 = 0 and x is rational} isRead the answer and worked solution →Is A = {n in Z : n^2 <= 4} equal to B = {1, 2}?Read the answer and worked solution →If every element of A is in B and every element of B is in A, thenRead the answer and worked solution →Let A = {1}, B = {{1}, 2}, C = {{1}, 2, 3}. ThenRead the answer and worked solution →Which chain of inclusions among number sets is correct?Read the answer and worked solution →The set of all real numbers that are not rational is called the set ofRead the answer and worked solution →The set {x : a <= x < b} is written as the intervalRead the answer and worked solution →

Worked practice questions

Is every set a subset of itself?

  1. No, never ever
  2. Only if empty
  3. Only if finite
  4. Yes, always
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Correct answer: D. Yes, always

1. Every element of A is certainly an element of A. 2. That satisfies the subset definition. 3. So every set is a subset of itself. _Source: syllabus Mathematics, Chapter 1, Sets._

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The empty set is a subset of:

  1. Every single set
  2. Itself alone
  3. Only finite sets
  4. Only number sets
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Correct answer: A. Every single set

1. The empty set has no elements. 2. So there is no element that could fail to be in another set. 3. It is agreed to be a subset of every set. _Source: syllabus Mathematics, Chapter 1, Sets._

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A set with exactly one element is called a:

  1. Universal set
  2. Singleton set
  3. Empty set
  4. Power set
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Correct answer: B. Singleton set

1. One element only. 2. Such a set has a special name. 3. It is a singleton set. _Source: syllabus Mathematics, Chapter 1, Sets._

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More Mathematics topics

StatisticsSequences and SeriesTrigonometric FunctionsBinomial TheoremConic SectionsSets, Relations and FunctionsLimits and DerivativesPermutations and Combinations