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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.

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. Correct Answer 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.

∴ Either statement II or statement III and statement I together are sufficient to answer the question

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