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 › CUET-PG › CUET-PG 2025 › Q4
4 marks, −1Mathematics › Concavity, convexity and quasi-concavity › Quasi-concavity and quasi-convexityModerateabout 1 min

CUET-PG 2025 Question 4: Concavity, convexity and quasi-concavity

Which of the following statements is not correct?

Tap an option to check your answer.

Answer and worked solution

Checking your account…

Plain-text version

Which of the following statements is not correct? (A) If f(x) is quasiconcave then -f(x) is quasiconvex. (B) If f(x) is a linear function, then it is quasiconcave as well as quasiconvex. (C) Any concave function is quasiconcave but the converse is not true. (D) Any convex function is quasiconvex and its converse also holds.

Concavity, convexity and quasi-concavity has come up 39 times in 6 exams since 2006.

What this question tests

This question is on Quasi-concavity and quasi-convexity, part of Concavity, convexity and quasi-concavity in Mathematics.

The weaker shape conditions defined by upper or lower level sets.

TestStop has 8 past-paper questions on this subtopic; the nearest in year are below.

  • IIT JAM 2021 · Q21Let f, g: ℝ → ℝ be f(x) = xe^(-x) and g(x) = x|x|. Then, on ℝ,
Take this paper as a timed mockMore on Quasi-concavity and quasi-convexity

Similar questions from other papers

  • IIT JAM 2024 · Q9Let S₁ = {(x,y) ∈ R²: x + y ≥ 1, x + y ≤ 2, y ≥ x², x,y ≥ 0} and S₂ = {(x,y) ∈ R²: x + y ≥ 1, x + y ≤ 2, y ≤ x², x,y ≥ 0}. Then, which of the following is CORRECT?
  • CUET-PG 2023 Shift 1 · Q28A function is strictly concave in the interval I, if for all a, b ∈ I and λ ∈ (0, 1) 1. f[(1-λ)a + λ b] > (1-λ)f(a) + λ f(b) 2. f[(1-λ)a + λ b] < (1-λ)f(a) + λ f(b) 3.
  • CUET-PG 2023 Shift 2 · Q47The function e^(-1/2x²) is:
  • IIT JAM 2023 · Q2Let f, g: ℝ → ℝ be f(x)=x+2 for x≤1, 2x+1 for x>1; and g(x)=2x for x≤2, x+2 for x>2. Then
  • UGC-NET 2023 · Q74Match List I (sign of first and second derivatives) with List II (shape of the curve). List I A. f'(x) > 0 and f''(x) > 0 B. f'(x) > 0 and f''(x) 0. List II I. increas

Question from the CUET-PG 2025 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.