Multiple choice

Directions: The following problem has a question and two statements labelled (1) and (2). You have to decide which of the statements, if any, is/are sufficient to answer the given question. What is the value of x? (1) x/y = 3 (2) x – y = 9

  1. Statement (1) alone is sufficient, but (2) alone is not sufficient.

  2. Statement (2) alone is sufficient, but (1) alone is not sufficient.

  3. Statements (1) and (2) together are sufficient to answer the question, but none of them alone is sufficient to answer the question.

  4. Either statement (1) alone or statement (2) alone is sufficient to answer the question.

  5. Neither statement (1) nor statement (2) is sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement (1) gives x/y = 3, so x = 3y. Statement (2) gives x - y = 9. Substituting (1) into (2) gives 3y - y = 9, 2y = 9, y = 4.5, x = 13.5. Neither statement alone provides a unique value for x.

AI explanation

Statement (1) gives a ratio of x to y, and statement (2) gives a linear equation, but neither can yield the value of x independently. By substituting x = 3y from the first statement into the second equation, we get 3y - y = 9, which solves to y = 4.5, making x = 13.5; thus, both statements together are required.

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