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.

How many families in the village have both a radio and a TV?

I. The village has 2,500 families.

II.680 families have TVs and 275 families have radios.

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Explanation:

- Statement I tells us the total number of families in the village, which is 2,500. It doesn’t give specific information about families that have both a radio and a TV.

- Statement II provides information on the number of families with TVs (680) and radios (275), but it still doesn’t specify how many families have both devices.

- When trying to determine how many families have both a radio and a TV, individual statements don’t help. Both together still don’t provide enough detail to determine overlap exactly.

- So, even using both statements together, we can’t find the exact number of families that have both a radio and a TV.

Correct Answer:

- Option 4. The problem can't be answered even with both statements.