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

Explore 79 free Sets and Relations 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 and Relations questions and exercises with answers

Showing questions 31–60 of 79.

Even prime numbers greater than 2 form the empty set because:Read the answer and worked solution →The set of days of the week is:Read the answer and worked solution →Why can't the set of real numbers be written in roster form?Read the answer and worked solution →A = {1, 2, 3} and B = {2, 2, 1, 3, 3}. The two sets are:Read the answer and worked solution →Every student in your class is also a student of your school. The class set is a ___ of the school set.Read the answer and worked solution →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 →

Worked practice questions

Even prime numbers greater than 2 form the empty set because:

  1. No primes exist at all
  2. Primes never run out
  3. 2 is the only even prime
  4. Every prime is an odd one
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Correct answer: C. 2 is the only even prime

1. Every even number above 2 is divisible by 2. 2. So none of them is prime. 3. The only even prime is 2 itself. _Source: syllabus Mathematics, Chapter 1, Sets._

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The set of days of the week is:

  1. An infinite set
  2. An empty set
  3. A universal set
  4. A finite set
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Correct answer: D. A finite set

1. There are exactly seven days. 2. A definite number of elements makes a set finite. 3. So the set is finite. _Source: syllabus Mathematics, Chapter 1, Sets._

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Why can't the set of real numbers be written in roster form?

  1. They follow no pattern
  2. They are too few
  3. They are all negative
  4. They are all equal
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Correct answer: A. They follow no pattern

1. Roster form for an infinite set relies on a visible pattern. 2. Real numbers have no such pattern. 3. So they cannot be listed this way. _Source: syllabus Mathematics, Chapter 1, Sets._

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More Mathematics topics

Straight Lines and Conic SectionsTrigonometric FunctionsStatistics and ProbabilityComplex Numbers and Quadratic EquationsLimits and DerivativesSequences and SeriesBinomial TheoremPermutations and Combinations