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CBSE Class 11 Sets, Relations and Functions — practice questions

32 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.

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If a set $A$ has $4$ elements, the number of subsets of $A$ is:For sets $A = \{1, 2, 3, 4\}$ and $B = \{3, 4, 5, 6\}$, $A \cup B$ is:De Morgan's law gives $(A \cap B)'$ as:In a class of $30$, $18$ play cricket, $15$ play football, $8$ play both. The number who play at least one spoIf $|A| = 3$ and $|B| = 4$, the number of elements in $A \times B$ is:A relation $R$ from $A$ to $B$ qualifies as a function when:The function $f: \mathbb{R} \to \mathbb{R}, f(x) = x^2$ is:The graph of $f(x) = 1/x$ in $\mathbb{R} - \{0\}$ is:The general solution of $\cos x = 1/2$ is:The double angle formula sin 2A equals:A set is described as a collection of objects that is:Listing out every element between braces is the:Describing members by a shared property is the:In roster form an element that repeats is written:A set containing no element at all is called the:The number of distinct elements of a set S is written as:A set whose element count is a natural number is:The set of all natural numbers is an example of a set that is:A is a subset of B when every element of A also lies in:The collection of all subsets of a set is called its:The set holding everything under discussion is called:The universal set is usually written with the letter:In population studies, the universal set is all the:Diagrams drawn to picture sets and their relations are called:The set of even prime numbers greater than two is:Counting the elements of a set counts only those that are:For a set to be well defined, membership must be:The empty set written in braces holds how many elements?A set whose elements share one common property is written in:The universal set for the integers can be taken as the:A set with a countable and finite number of members is:Elements of a set in roster form are separated by: