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Functions question

2024 · 5 Apr · Shift 1 · Q56

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JEE Main
Mathematics
Functions
2024 · 5 Apr · Shift 1 · Q56

Functions question

2024 · 5 Apr · Shift 1 · Q56

JEE MainMathematicsFunctionsNumerical+4 / −1

If

S=\{a \in \mathbf{R}:|2 a-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

\underline{\hspace{2cm}}

.

Numerical answer

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