Each question is followed by two statements I and II Mark the answer 1 If the question can be answer...........

Math and Mental Ability Data Sufficiency

Each question is followed by two statements, I and II. Mark the answer:

1.If the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.

2.If the question can be answered by using either statement alone.

3.If the question can be answered by using both statements together, but cannot be answered using either statement alone.

4.If the question cannot be answered even by using both statements together.

What is the time taken by A to cover 40 km?

I. A travels at 60 km/hr for the first 20 km.

II.A’s speed in the second half of the journey is double the first half.

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Explanation:

- Statement I: A travels at 60 km/hr for the first 20 km. This tells us that the first half of the journey takes 20 minutes (since time = distance/speed = 20 km / 60 km/hr = 1/3 hour or 20 minutes). However, without information about the second half, we can't determine the total time for 40 km.

- Statement II: A’s speed in the second half of the journey is double the first half. This tells us that the speed for the second 20 km is 120 km/hr (because double of 60 km/hr is 120 km/hr). For the second half, it takes 10 minutes (20 km / 120 km/hr = 1/6 hour or 10 minutes). But we need both statements to find total travel time.

- To find the total time, combine both statements: 20 minutes (first half) + 10 minutes (second half) = 30 minutes for 40 km.

- Neither statement alone can solve the problem, so we need both.

Answer: Option 3