In the following question, three statements are given. You have to find which is/are necessary and sufficient to answer the following question. Find the ratio of speeds of the lion, dog, and fox. Statement I∶ For every 10 jumps of the lion, the dog takes 7 jumps and the fox takes 12 jumps. Statement II∶ The lion, the dog, and the fox cover distances of 4 m, 12 m, and 3 m respectively in one jump. Statement III∶ The distance covered by the dog in 5 jumps, the distance covered by the lion in 15 jumps, and the distance covered by the fox in 20 jumps are equal.?

Option 3 : Either statement II or statement III and statement I together are sufficient to answer the question.

Statement II∶

The lion, dog and fox cover distances of 4 m, 12 m, and 3 m respectively in 1 jump.

Statement III∶

Given that the distance covered by the dog in 5 jumps, distance covered by the lion in 15 jumps and distance covered by fox in 20 jumps are equal;

Suppose the distance covered by all three is 60 m (LCM of 5, 15 and 20)

∴ Distance covered by lion in one jump = 60/15 = 4 m

Distance covered by dog in 1 jump = 60/5 = 12 m

Distance covered by fox in 1 jump = 60/20 = 3 m

Here, we can see that statement II and III give the same information.

∴ Combining either statement II or III with the statement I, we can get the answer.