IPMAT Indore 2023 QA: Let [x] denote the greatest integer not exceeding x and {x} = x - [x]. ...

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 the equation 2[x] = x + n{x} is:
a. n(n+2)/2
b. 3/2
c. n
d. n(n+1)/2
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