Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? What is the price of the cheapest item if the prices of the three items are in the ratio 2:5:8? I. The average price of the three items is Rs 4000. II. The total price of the cost list item is Rs 4000.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statements I and II together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Ratio 2:5:8, let prices be 2x, 5x, 8x. Statement I: Average = 4000, so (2x+5x+8x)/3 = 4000, 15x = 12000, x = 800. Cheapest = 2 × 800 = Rs 1600. Statement II: Total = 4000, so 15x = 4000, x = 266.67, cheapest = Rs 533.33. The statements give different answers, but each is independently sufficient.

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