DSE 2021 Question 13: Concavity, convexity and quasi-concavity
One girl is training for a half marathon in Delhi. She runs xi kilometres on the i-th day for the next 12 days (x1 on day 1, x2 on day 2, and so on). On the last day she finds that she trained 12 kilometres per day on average. Which of the following statements is true?
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One girl is training for a half marathon in Delhi. She runs xᵢ kilometres on the i -th day for the next 12 days (x₁ on day 1, x₂ on day 2, and so on). On the last day she finds that she trained 12 kilometres per day on average. Which of the following statements is true? (A) Σᵢ₌₁¹² log₁₂ xᵢ < 12 (B) Σᵢ₌₁¹² log₁₂ xᵢ > 12 (C) Σᵢ₌₁¹² log₁₂ xᵢ = 12 (D) Σᵢ₌₁¹² log₁₂ xᵢ = 12¹²
Also written as: One girl is training for a half marathon in Delhi. She runs x_i kilometres on the i -th day for the next 12 days (x_1 on day 1, x_2 on day 2, and so on). On the last day she finds that she trained 12 kilometres per day on average. Which of the following statements is true?
Concavity, convexity and quasi-concavity has come up 39 times in 6 exams since 2006.
What this question tests
This question is on Convex sets and functions, part of Concavity, convexity and quasi-concavity in Mathematics.
Sets and functions with no dents, and the inequalities that define them.
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