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CA Foundation Sets, Relations and Functions — practice questions

Explore 74 free Sets, Relations and Functions questions in CA Foundation Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Sets, Relations and Functions questions and exercises with answers

Showing questions 1–30 of 74.

A set is best described as a collection ofRead the answer and worked solution →The set {4, 4, 7, 7, 9} has how many distinct elements?Read the answer and worked solution →In set-builder notation, the vertical bar is read asRead the answer and worked solution →If A has 5 elements, B has 4, and 2 are common, n(A union B) isRead the answer and worked solution →Let P = {2, 4, 6, 8, 10} and Q = {3, 6, 9, 12}. Then P intersect Q isRead the answer and worked solution →For A = {1, 2, 3, 4, 5, 6} and B = {2, 4, 6, 8}, A - B equalsRead the answer and worked solution →A set has 64 subsets. How many elements does it contain?Read the answer and worked solution →If |A| = 3 and |B| = 4, the Cartesian product A x B has how many ordered pairs?Read the answer and worked solution →Which statement about the empty set is correct?Read the answer and worked solution →Two sets are equal if and only ifRead the answer and worked solution →Which is a proper subset of the set of all mammals?Read the answer and worked solution →A set is infinite if and only if it has the same cardinality asRead the answer and worked solution →The even natural numbers and the natural numbers haveRead the answer and worked solution →The cardinality of the real numbers is called the cardinality of theRead the answer and worked solution →Who formulated the continuum hypothesis in 1878?Read the answer and worked solution →The axiom of choice states that, for a family of nonempty sets, one canRead the answer and worked solution →A partition of a set splits it intoRead the answer and worked solution →Who began the mathematical study of infinite sets?Read the answer and worked solution →In a class of 50, 30 like tea, 25 like coffee and 10 like both. How many like neither?Read the answer and worked solution →If n(A) = 40, n(B) = 25 and n(A union B) = 55, then n(A intersect B) isRead the answer and worked solution →In a group of 70, 40 study accounts, 35 study law and 15 study both. How many study only accounts?Read the answer and worked solution →Of 100 people, 60 read paper A, 45 read paper B and 20 read both. How many read neither?Read the answer and worked solution →The symmetric difference of {1, 2, 3, 4} and {3, 4, 5, 6} isRead the answer and worked solution →How many relations can be defined on a set with 3 elements?Read the answer and worked solution →R = {(1,1), (2,2), (3,3), (1,2)} on {1, 2, 3} is not an equivalence relation because it is notRead the answer and worked solution →On positive integers, a is related to b if a divides b. This relation isRead the answer and worked solution →The relation 'at least as large as' on real numbers isRead the answer and worked solution →Which relation between integers a and b is an equivalence relation?Read the answer and worked solution →An equivalence relation on a set splits it into disjointRead the answer and worked solution →How many equivalence relations exist on a 3-element set?Read the answer and worked solution →

Worked practice questions

A set is best described as a collection of

  1. distinct objects called elements
  2. functions listed with repeats
  3. ordered pairs that may repeat
  4. only numbers written in order
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Correct answer: A. distinct objects called elements

A set gathers different objects, and each object in it is called an element or member.

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The set {4, 4, 7, 7, 9} has how many distinct elements?

  1. 3
  2. 2
  3. 5
  4. 4
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Correct answer: A. 3

Repeats do not change a set, so it is just {4, 7, 9} with three elements.

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In set-builder notation, the vertical bar is read as

  1. such that
  2. absolute value
  3. divided by
  4. belongs to
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Correct answer: A. such that

In {x | x > 2} the bar means such that, so the set holds all x for which x > 2.

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More Quantitative Aptitude topics

Time Value of MoneyProbabilityPermutations and CombinationsCorrelation and RegressionRatio and Proportion, Indices and LogarithmsMeasures of Central Tendency and DispersionStatistical Representation of Data and SamplingSequence and Series