Select the number-pair in which the two numbers are related in the same way as the two numbers of the pair given below.
10 : 24

Given, 

10 : 24

The pattern followed here is :

• $$\therefore\ 3^2+1\ :\ 5^2-1$$ 

We will check option wise.

Option A , 140 : 165

$$\therefore\ 12^2-4\ :\ 13^2-4$$

i.e; Not following the above pattern.

Option B , 48 : 99 

$$\therefore\ 7^2-1\ :\ 10^2-1$$

i.e; Not following the above pattern.

Option C , 50 : 80

$$\therefore\ 7^2+1\ :\ 9^2-1$$

i.e; Following the above pattern.

Option D : 70 : 120

$$\therefore\ 8^2+6\ :\ 11^2-1$$

i.e; Not following the above pattern.

Hence, Option C is correct.