/

Learn

Saturday, 31 October

/

JEE Main 2024 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 5 April 2024, Shift 1, Maths Q21

Question 21 of 90 in this shift, Maths question 21 of 30, Section B.

If

S=\{a\in\mathbb{R}:|2a-1|=3[a]+2\{a\}\}

, where

[t]

denotes the greatest integer less than or equal to

t

and

\{t\}

represents the fractional part of

t

, then

72\sum_{a\in S}a

is equal to ________.

Official answer

18

NTA final key.

Chapter: Relations and Functions
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

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.