16 solved questions on Sets, Relations and Functions, ranging from easy to JEE-Advanced-flavour hard. Click any to see the full solution.
Composition of functions is commutative: f∘g = g∘f for all f, g.
View solution →If f(f(x)) = x for all x in domain, and f is one-one, then f(f(x)) = $x$. (Find the property)
View solution →The inverse of f(x) = (3x - 2) / 4 is:
View solution →If f(x) = 2x + 3 and g(x) = x - 1, then f(g(x)) =
View solution →Every bijective function has an inverse.
View solution →If f and g are both one-one functions, then fog is $x$ (one-one/onto/bijective).
View solution →A function f: ℝ → ℝ is defined by f(x) = x². It is:
View solution →Which of the following is a one-one (injective) function from ℝ to ℝ?
View solution →A relation that is symmetric and transitive must also be reflexive.
View solution →The number of equivalence relations on a set with 3 elements is $x$.
View solution →The total number of relations from a set with m elements to a set with n elements is:
View solution →A relation R on set {1, 2, 3} is defined as R = {(1, 1), (1, 2), (2, 2)}. R is:
View solution →The intersection of two sets is always a subset of each set.
View solution →If A has 5 elements and B has 4 elements, and A ∩ B has 2 elements, then A ∪ B has $x$ elements.
View solution →The number of elements in the power set of {1, 2, 3, 4} is:
View solution →If A = {1, 2, 3} and B = {3, 4, 5}, then A ∪ B is:
View solution →PrepWiser turns these solved questions into a daily practice loop. Chapter-wise drills, full mocks, AI doubt chat. No auto-renew.
Start free →