Multiple choice

Directions: The problem below consists of a question and two statements labelled (A) and (B) given below it. Read them carefully and decide which of the given statements is/are sufficient to answer the question. Choose the correct option accordingly. What is the value of x + y? (A) x – y = 4 (B) 3x + 3y = 4

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

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

  3. Both statements (A) and (B) together are sufficient, but neither statement alone is sufficient.

  4. Each statement alone is sufficient.

  5. Both statements (A) and (B) together are not sufficient and additional data is needed.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement (A) is x - y = 4. Statement (B) is 3x + 3y = 4, which simplifies to x + y = 4/3. Statement (B) directly gives the value of x + y, while (A) does not.

AI explanation

To find the value of x + y, statement (A) gives x - y = 4, which is insufficient alone as it represents a different linear equation. Statement (B) gives 3x + 3y = 4, which can be divided by 3 to directly yield x + y = 4/3. Therefore, statement (B) alone is sufficient to answer the question.

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