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.

James and Grant scored 72 points between them in 2 basketball games. How many points did Grant score?

I. James scored twice as many points as Grant.

II.James scored as many points in the first game as Grant did in both games combined.

- To find out how many points Grant scored, we need to analyze the statements.

- Statement I: James scored twice as many points as Grant.

- Let Grant's points be \( x \). Then James scored \( 2x \).

- Equation: \( x + 2x = 72 \), which can be solved to find \( x \).

- Statement II: James scored as many points in the first game as Grant did in both games combined.

- This alone does not give a direct relationship to solve how many points Grant scored, without knowing more details of each game.

- Combining both statements: Not necessary as Statement I suffices alone but not Statement II. Thus, the correct answer is option 1.

- Correct Answer: Option 1:1

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