If [X] denotes the greatest integer less than or equal to x and x[x] =

Question

If   denotes the greatest integer less than or equal to x and x  = 39, what is the value of x ?

A. 6
B. 6.25
C. 6.35
D. 6.5
E. 6.75

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Bunuel · Answer

sambitspm · Answer

Just keep options to find the answer
x = 6.5,  = 6

Answer is D

nick1816 · Answer

x= I+f, I is integral part and f is fractional part.
  = I

I^2+I*f = 39

since 0<f<1 (f can't be 0, as 39 is not a perfect square)

I^2<39 ......(1)

I^2+I>39 ......(2)

From (1) and (2)

I=6

6^2+6f=39 
 6f=3 
 f=0.5

x= 6+0.5=6.5

Naksha · Answer

Can anyone please explain this question

Posted from my mobile device

SanjibDa · Answer

Greatest Integer function of  =6
Now,
let x=6.5,
x =6.5 * 6 =39.

hence, X=6.5 , D is correct

ManifestDreamMBA · Answer

For all of the answer choices   = 6 and we are given x  = 39. So x = 39/  = 39/6 = 6.5

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