if k^2 + k < 6 and k > 0 then maximum value of k will be

M4maths Previous Puzzles

23 Jun 2012 k k

if k^2 + k < 6
and k > 0
then maximum value of k will be

OPtion

1) 1
2) 2
3) 3
4) 4
5) 5
6) 6
7) 7
8) 8
9) 9
10) none of these

Solution

k^2 + k - 6 < 0
(k+3)(k-2) < 0
so -3 < k < 2
since k > 0
so range of k will be (0,2)
so max. of k = 2

Correct Option: 2 Best Solution (2)