Skip to content
We use only essential cookies to keep you signed in and remember your preferences. See our Cookie Policy.
TestStop
MocksPracticeResourcesIndiaBlogPricing
Sign in
Questions › Mathematics › Sets, relations and functions

Sets, relations and functions: previous year questions

Asked 3 times in 1 exam across 2 years. Newest first.

Practise Sets, relations and functions, easy to hard →

  1. IIT JAM 2022 Q13Let f:[0,∞)→ℝ be defined by f(x) = (x+1)/(x+2) for all x in the domain. Then f is
  2. IIT JAM 2022 Q44Let a, b ∈ ℝ. If f(x) = ax + b satisfies a + b = 4 and f(x+y) = f(x) + f(y) - 2 for all x, y ∈ ℝ, then Σₙ₌₁⁵⁰ f(n) = _ (in integer).
  3. IIT JAM 2021 Q26For S₁, S₂ ⊂ ℝ define S₁ - S₂ = {x ∈ S₁, x ∉ S₂}. Let P = {x ∈ ℝ: x² - 2x - 3 ≤ 0} and Q = {x ∈ ℝ: log₅(1 + x²) ≤ 1}. Then,