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      Question

      A box contains red and blue marbles. What is the ratio of red marbles to blue marbles in the box? Statements I:  The number of red marbles is 40% of the total number of marbles in the box. Statements II:  There are 30 more blue marbles than red marbles.

      In each of the following questions, two statements or three statements are given. You are expected to solve them and determine which statement or combination of statements is sufficient to answer the question.
      A Statement 1 alone is sufficient, but statement 2 alone is not sufficient. Correct Answer Incorrect Answer
      B Statement 2 alone is sufficient, but statement 1 alone is not sufficient. Correct Answer Incorrect Answer
      C Both statements together are sufficient, but neither alone is sufficient. Correct Answer Incorrect Answer
      D Each statement alone is sufficient. Correct Answer Incorrect Answer
      E Statements 1 and 2 together are not sufficient. Correct Answer Incorrect Answer

      Solution

      Let r = red marbles, b = blue marbles. Statement I: r = 0.4(r+b) Solve: 0.6r = 0.4b = r/b = 2/3  Ratio found. Sufficient. Statement II: b = r+30 No fixed ratio (depends on value of r). = Not sufficient. Therefore, Only Statement I is sufficient. Hence, Statement I alone is sufficient, Statement II alone is not.

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