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.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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