The question is about Greatest Integer Function. Multiplication of a decimal and its Greatest Integer function is given and we need to find out the value of the decimal. Functions is a simple topic which involves a lot of basic ideas. Make sure that you a get of hold of them by solving these questions. A range of CAT questions can be asked based on this simple concept of Functions questions in the CAT Exam. Make sure you practice a lot of questions in CAT Functions Algebra to push your CAT preparation in the right direction. Functions as an idea is a fabulous idea if one can wrap their head around it the right way, and it has been one of the staple ideas tested by the CAT exam historically.

Question 16: Find the value of x for which x[x] = 39?

- 6.244
- 6.2
- 6.3
- 6.5

6.5

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When x = 7,

x[x] = 7 * 7 = 49

When x = 6,

x[x] = 6 * 6 = 36

Therefore, x must lie in between 6 and 7 => [x] = 6

=> x = \\frac{45}{[x]}\\) = \\frac{39}{6}\\) = 6.5

The question is **"Find the value of x for which x[x] = 39?"**

Choice D is the correct answer.

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