Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? What is the value of x? (I) If 10 is added to x, the result is 34. (II) If x is multiplied by y, the result is 38.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statements together are sufficient, but neither statement alone is sufficient.

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A Correct answer
Explanation

Statement I gives the equation x + 10 = 34, which directly gives x = 24. This alone is sufficient. Statement II gives xy = 38, but without knowing y, we cannot determine x uniquely. Even combining both statements gives y = 38/24 = 19/12, but statement II alone is insufficient. Therefore only statement I alone is sufficient.