Multiple choice

Directions: This question has two statements, (1) and (2). Answer the question using the following instructions: Today is Carol's birthday. How old is she? (1) 6 years ago she was half her present age. (2) 3 years from now she will be 3 times as old as she was 7 years ago.

  1. if statement (1) alone is sufficient but statement (2) alone is not

  2. if statement (2) alone is sufficient but statement (1) alone is not

  3. if both (1) and (2) together are sufficient but neither of them alone is sufficient

  4. if both statements (1) and (2) independently are sufficient

  5. if both statements (1) and (2) together are not sufficient
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let x be her age. (1) x - 6 = 0.5x => 0.5x = 6 => x = 12. (2) x + 3 = 3(x - 7) => x + 3 = 3x - 21 => 2x = 24 => x = 12. Both statements independently give the same age.

AI explanation

Statement one gives the equation C - 6 = 0.5C, which solves to C = 12, so it is independently sufficient. Statement two gives the equation C + 3 = 3(C - 7), which expands to C + 3 = 3C - 21, meaning 2C = 24, so C = 12, making it independently sufficient as well. Each statement alone provides enough data to find Carol's age.

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