Multiple choice

A certain mixture of paint requires blue, red, and yellow in the ratio of 2: 3: 4 respectively and no other ingredients. If there are ample quantity of blue and red paints are available then is there enough quantity of yellow paint is available to get the desired amount of the mixture? I: Exactly 180 litres of the mixture is needed. II: The difference between the quantity of blue paint available and the red paint available is 60 litres III: Exactly 180 litres of red paint are available.

  1. The data in statements I and III together are sufficient to answer the question, while the data in statement II are not sufficient to answer the question.

  2. The data in statements I and II together are sufficient to answer the question, while the data in statement III are not sufficient to answer the question.

  3. The data in statement I, II and III together are not sufficient to answer the question.

  4. The data in statement only I and II together or only statement III are sufficient.

  5. The data in all the statements I, II and III together are necessary to answer the question.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Paint ratio is 2:3:4 (blue:red:yellow), so yellow is 4/9 of total mixture. Statement I: 180 L mixture needed, so yellow needed = 180 × 4/9 = 80 L. Statement III: 180 L red available (not mixture!). But Statement II says difference between blue and red available is 60 L. The statements seem contradictory - we need to know how much yellow is available, not how much red. Statements don't tell us the available yellow quantity, so data is insufficient.

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