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IPMAT Indore 2023 · Question 27 of 90 · Quantitative Ability (MCQ)

IPMAT Indore 2023 — Question 27

Let $[x]$ denote the greatest integer not exceeding $x$ and ${x} = x - [x]$ . If $n$ is a natural number, then the sum of all values of $x$ satisfying $2 [x] = x + n {x}$ is

A $n$
B $\frac{n ( n + 1 )}{2}$
C $\frac{3}{2}$
D $\frac{n ( n + 2 )}{2}$

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