Among H, J, K and L, each having different heights, K is taller than L and H. J is not the shortest. Who amongst them is the tallest?

It is given that each person is having different heights and let arrange the persons in descending order of height

it is given that K is taller than L and H, so the possible pattern are

K -L-H

or

K-H-L

It is given that J is not the shortest and so possible patterns are :

J-K-H-L

K-J-H-L

K-H-J-L

J-K-L-H

K-J-L-H

K-L-J-H

As we can see that there is no particular pattern through which we ca decide who is the tallest and hence answer can not be determined.