## Quant Question Of The Day: 200

**How many different positive integral values, less than 1000, y = x[x] can take where x is a positive real number.**

**Note:- [x] is greatest integer less than or equal to x**

**For eg. [3.5] = 3, as 3 is the largest integer less than or equal to 3.5**

**Similarly [4] = 4, [3.99] = 3
1. 31
2. 496
3. 30
**

**4. None of these**

**If [x] = k (an integer), then**

**x can be k, k + 1/k, k + 2/k, ……, k + (k – 1)/k**

**So, for every integer k, we will have k values**

**Now, k can not be 32, as then the lest value of y will be 1024**

**So, answer will be 1 + 2 + 3 + … + 31 = 496**

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