College of Admission Tests Multan

Value Questions

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Question: 5

If there are only red, blue, and green marbles in a jar, what is the ratio of red to blue marbles?

(1) The ratio of red to green marbles is 2:3.

(2) The ratio of green to blue marbles is 6:5.

  • Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
  • Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
  • BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
  • EACH statement ALONE is sufficient.
  • Statements (1) and (2) TOGETHER are NOT sufficient.

  Show/Hide Explanation 

Correct Answer: C

Statement (1) doesn’t give us any information about the number of blue marbles at all. It is not sufficient and we can cross off A and D.

Statement (2) doesn’t give us any information about the number of red marbles, so we can eliminate B.

When we combine both statements, we have ratios that involve all three colors of marbles. Let’s see what happens when we use some real numbers. If there are 6 green marbles, then there are 4 red marbles and 5 blue marbles, making the ratio of red to blue marbles 4:5. If we used a different number for the green marbles - say, 12 - we would end up with the same ratio of red to blue. This happens frequently with relative numbers such as ratios, proportions, averages, and probability; keep in mind that you don’t always have to know the actual numbers to know the ratios.

Statements (1) and (2) together are sufficient, so the answer is C.