JEE Main 2022 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 25 July 2022, Shift 2, Maths Q24

Question 24 of 90 in this shift, Maths question 24 of 30, Section B.

The sum of the maximum and minimum values of the function

f(x)=|5x-7|+[x^2+2x]

in the interval

\left[\frac{5}{4},2\right]

, where

[t]

is the greatest integer

\leq t

, is ___________.

Official answer

NTA final key.

Chapter: Continuity and Differentiability
Topic: Maxima and Minima
Idea tested: Extrema Involving Greatest Integer Function

Same topic in other shifts

All Maxima and Minima questions

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.