Multiple choice

Directions: The following problem consists of a question and two statements labelled (1) and (2). You have to decide whether the data given in the statements is sufficient for answering the question. If xy = z, what is the value of x? (1) y = 4z (2) y2 = 16

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

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

  3. Both statements together are sufficient, but neither statement alone is sufficient.

  4. Each statement alone is sufficient.

  5. Statements (1) and (2) together are not sufficient.
Reveal answer Fill a bubble to check yourself
A Correct answer
AI explanation

Substituting the equation from statement 1, y = 4z, into the given equation xy = z yields x(4z) = z, which simplifies to 4xz = z and gives x = 1/4. Statement 2 provides y^2 = 16, which means y is 4 or -4, and without knowing the value of z, you cannot find a unique value for x from xy = z. Thus, statement 1 alone is sufficient to find the value of x, but statement 2 alone is not.

Keep practicing — related questions