Multiple choice

A juice blend was made by mixing exactly three fruit juices: mango, orange, and pineapple. By volume, the mixture was composed of m% mango juice, o% orange juice, and p% pineapple juice. If exactly 2 liters of mango juice and 6 liters of pineapple juice were used, how many liters of orange juice were used? 1. m = o 2. p = 60

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

  2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

  3. BOTH statements TOGETHER are sufficient, but NEITHER alone is sufficient.

  4. EACH statement ALONE is sufficient.

  5. Statements (1) and (2) TOGETHER are NOT sufficient.
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D Correct answer
AI explanation

Statement 1 states that the percentages of mango and orange juice are equal, which directly means their volumes are equal. Since 2 liters of mango juice were used, statement 1 alone guarantees exactly 2 liters of orange juice were used. Statement 2 states that pineapple juice makes up 60 percent of the mixture, so the 6 liters of pineapple juice used corresponds to 60 percent of the total, making the total volume 10 liters. Subtracting the known 8 liters of mango and pineapple juice from this total of 10 liters reveals exactly 2 liters of orange juice, so statement 2 is also sufficient alone.

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