Each of the following questions is followed by two statements 1 If either of the statements I or II ...........

Math and Mental Ability Data Sufficiency

Each of the following questions is followed by two statements.

1.If either of the statements I or II alone but not the other is sufficient to answer the question.

2.If both the statements I or II alone are sufficient to answer the question.

3.If questions can be answered with the help of both statements together, but not with the help of either statement alone.

4.If question cannot be answered unless more information is provided.

Is the price of eight apples greater than the price of eight oranges?

I. The price of 12 apples is greater than the price of eight oranges.

II.The price of 12 oranges is greater than the price of eight apples.

- Statement I: The price of 12 apples > price of 8 oranges.

- This implies a single apple costs more than or less than an orange isn't clear. Not sufficient alone.

- Statement II: The price of 12 oranges > price of 8 apples.

- This implies a single orange costs more than or less than an apple isn't clear. Not sufficient alone.

- Using Both Statements Together:

- From I, \(12A > 8O\)

- From II, \(12O > 8A\)

- Rearranging I gives \(A > \frac{2}{3}O\)

- Rearranging II gives \(O > \frac{2}{3}A\)

- Combining both: \(O < A < O\); contradictory.

- Confirms inconsistency but doesn't directly answer if 8 apples cost more than 8 oranges.

- Conclusion: Statements together create a contradiction and individually don't suffice. You need additional info.

Option: 4 – 4

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