JEE Main 2024 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 6 April 2024, Shift 2, Maths Q24

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

Let

[t]

denote the greatest integer less than or equal to

t

. Let

f:[0,\infty)\to\mathbb{R}

be a function defined by

f(x)=\left[\frac{x}{2}+3\right]-[\sqrt{x}]

. Let

S

be the set of all points in the interval

[0,8]

at which

f

is not continuous. Then

\sum_{a\in S}a

is equal to ________.

Official answer

NTA final key.

Chapter: Continuity and Differentiability
Topic: Continuity and Differentiability
Idea tested: Continuity involving GIF and Fractional Part

Same idea in other shifts

Asked 7× in all

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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 42 of the 174 JEE Main shifts held from 2017 to 2026.