Multiple choice

Directions: The following problem has a question and two statements labelled (1) and (2). You have to decide whether the statements are sufficient to answer the question. Find the value of z if x = 3. (1) z = (x + 3)4 (2) z = 2x + y Mark your answer as:

  1. if statement (1) alone is sufficient, but statement (2) alone is not sufficient to answer the question

  2. if statement (2) alone is sufficient, but statement (1) alone is not sufficient to answer the question

  3. if both statements (1) and (2) together are sufficient to answer the question

  4. if each statement alone is sufficient to answer the question

  5. if statements (1) and (2) together are not sufficient to answer the question and additional data is required
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement (1) gives z = (3+3)^4 = 6^4 = 1296. This is sufficient. Statement (2) gives z = 2(3) + y, which depends on y, so it is insufficient.

AI explanation

Substituting x = 3 into statement 1 gives z = (3 + 3)4, which yields z = 24. Statement 2 becomes z = 2(3) + y, but the value of y is unknown, so it does not give a unique result for z. Therefore, only the first statement provides enough data to answer the question.

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