If [p] denotes the greatest integer less than or equal to p, then \(\left[-\frac{1}{2}\right] +\left[4\frac{2}{5}\right] +[2]\) is equal to :

Question

Question

This question was previously asked in

Haryana CET Previous Year Paper (Held On: 6 Nov 2022 Shift 1)

Answer 1

Given :

[p] is a greatest integer

Formula used :

If x is a greatest integer such that :

⇒ n < x < n + 1 then :

⇒ [x] = n

Solution :
∵ -1 < (-1 / 4) < 0

So [\(\frac{-1}{4}\)] = -1

Similarly :

⇒ 4 < \(\left[4\frac{2}{5}\right] \) < 5

⇒ \(\left[4\frac{2}{5}\right] \) = 4

and [2] = 2

Now the required sum \(\left[-\frac{1}{2}\right] +\left[4\frac{2}{5}\right] +[2]\) :-

⇒ -1 + 4 + 2

⇒ 5

Hence the correct answer is "5"