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

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.

Two mixtures of petrol and oil are mixed in the ratio 5:3. What is the volume of petrol in the resultant mixture?

I. Ratio of petrol to oil in the earlier mixtures was 3:5 and 4:9, respectively.

II.Total mixture has a volume of 63.5 cu cm.

- Question: What is the volume of petrol in the resultant mixture?

- Statement I: The ratios of petrol to oil in the original mixtures are 3:5 and 4:9, respectively.

- This provides the composition of the initial mixtures but not their volumes.

- Alone, it doesn't tell us how to combine or how much of each mixture is used.

- Statement II: The total volume of the mixture is 63.5 cu cm.

- Indicates only the total volume but not the specific amounts from each initial mixture.

- Option 1: One statement can solve it alone, but not the other.

- Neither statement provides enough information on its own.

- Option 2: Either statement alone can solve it.

- Again, neither statement provides full information alone.

- Option 3: Both statements together can solve it.

- Combining the ratios and total volume, exact calculations can deduce petrol volume.

- This is correct.

- Option 4: Neither statement nor both together can solve it.

- Both together are indeed sufficient with some arithmetic.

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