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CBSE Class 11 (Commerce) Sets — practice questions

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 1–30 of 74.

In mathematics, a SET is defined as:Read the answer and worked solution →Which symbol denotes 'belongs to' / 'is an element of' in set theory?Read the answer and worked solution →The set of all letters in the word 'SCHOOL' in roster form is:Read the answer and worked solution →The set A = {x : x is a positive integer and x² < 40} in roster form is:Read the answer and worked solution →Which of the following is an EMPTY set?Read the answer and worked solution →Let A = {x : x is a natural number which divides 42}. Set-builder form A in roster form is:Read the answer and worked solution →Set A = {x : x = n/(n+1), where n is a natural number and 1 ≤ n ≤ 6} in roster form is:Read the answer and worked solution →Which set is FINITE?Read the answer and worked solution →For the equation x² + x − 2 = 0, the solution set in roster form is:Read the answer and worked solution →Set X = letters in 'ALLOY'; set B = letters in 'LOYAL'. Compare:Read the answer and worked solution →Let A = {n ∈ ℤ : n² ≤ 4} and B = {x ∈ ℝ : x² − 3x + 2 = 0}. Are A and B equal?Read the answer and worked solution →Which statement about the EMPTY SET ∅ is INCORRECT?Read the answer and worked solution →Which collection is NOT a well-defined set?Read the answer and worked solution →A = {1, 3, 5} and B = {x : x is an odd natural number less than 6}. What is the relationship?Read the answer and worked solution →For A = {1, 2, 3}, identify which is a PROPER subset of A.Read the answer and worked solution →Roster form or set-builder form?Read the answer and worked solution →True or false: setsRead the answer and worked solution →The collection of the five most renowned mathematicians of the world is:Read the answer and worked solution →Is the river Nile a member of the set of rivers of India?Read the answer and worked solution →The symbol Z stands for the set of all:Read the answer and worked solution →You write the even positive integers below 7 as {2, 4, 6}. This way of writing is the:Read the answer and worked solution →The set of odd natural numbers is written {1, 3, 5, ...}. The dots mean the list:Read the answer and worked solution →Writing the letters of SCHOOL as a set, the letter O is listed:Read the answer and worked solution →{x : x is a vowel in the English alphabet} describes a set by a common property. This is the:Read the answer and worked solution →Students studying in both Class X and Class XI at the same time form a set that is:Read the answer and worked solution →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 →

Worked practice questions

In mathematics, a SET is defined as:

  1. A well-defined collection of objects
  2. A list of numbers in ascending order
  3. Any group of similar items chosen by personal taste
  4. Any collection of objects, including subjective ones
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Correct answer: A. A well-defined collection of objects

A set is a WELL-DEFINED collection — given any object, we can decide unambiguously whether it belongs to the set. 'Five most renowned mathematicians' is NOT a set because 'renowned' is subjective.

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Which symbol denotes 'belongs to' / 'is an element of' in set theory?

  1. ∈
  2. ⊂
  3. ∪
  4. ⊃
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Correct answer: A. ∈

∈ (epsilon) denotes 'belongs to'. ⊂ means 'is a subset of' ⊃ means 'is a superset of' ∪ means 'union'.

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The set of all letters in the word 'SCHOOL' in roster form is:

  1. {S, C, H, O, L}
  2. {S, C, H, L}
  3. {S, C, H, O, O, L}
  4. {S, C, H, O, O}
Show answer and solution

Correct answer: A. {S, C, H, O, L}

In roster form elements are NOT repeated. SCHOOL has letters S, C, H, O, L (O appears twice but is listed once). Order of listing is immaterial.

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More Mathematics topics

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