UGC NET Questions (Paper – 1)

To combine the ratios A : B and B : C, we first express them with a common value for B. The ratio A : B = 2 : 3 and B : C = 4 : 5. Making the B terms equal involves scaling the first ratio by 4 and the second by 3, giving A : B = 8 : 12 and B : C = 12 : 15. Now B has the same value in both, allowing us to read off A : C as 8 : 15. This is the required compound ratio.

Option A:
Option A, 8 : 15, emerges naturally once B is expressed with the same multiplier in both original ratios. It preserves the structure of each pairwise relation and gives a consistent comparison between A and C.

Option B:
Option B, 3 : 5, retains the original A : B pattern but ignores the connection to C through the second ratio. It cannot represent A : C directly.

Option C:
Option C, 5 : 8, inverts the relationship and does not follow from any consistent scaling of the given ratios. It would imply C is relatively smaller than A in a way that contradicts the conditions.

Option D:
Option D, 10 : 9, is arbitrary and not produced by any straightforward manipulation of the initial pair of ratios.