Chapter-wise PYQs
A curated archive of previous year questions to help you master each chapter, one at a time.
Sets
1
If A and B are two sets such that A ∪ B has 18 elements, A has 8 elements and B has 15 elements; how many elements does A ∩ B have?
2
In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. How many speak at least one of these two languages?
Relations and Functions
1
If f(x) = x^2 and g(x) = sin(x), then find (g ∘ f)(x).
2
A relation R on the set {1, 2, 3} is defined by R = {(1, 1), (1, 2), (2, 2), (2, 3), (3, 3)}. Is R reflexive, symmetric, or transitive?