Multiple choice

Passage

Directions : The following item contains a question and two statements I and II. You have to decide whether the data given in the statements is sufficient to answer the question. Read both statements and give your answer as given below: (1) If statement I alone is sufficient to answer the question, while statement II alone is not sufficient to answer the question. (2) If statement II alone is sufficient to answer the question, while statement I alone is not sufficient to answer the question. (3) If either statement I alone or II alone is sufficient to answer the question. (4) If both statements together do not suffice to answer the question.

The ratio of the salary of Satish to that of Anoop to that of Sandeep is 4 : 5 : 7. How much is Anoop's salary? I. The difference between Anoop and Sandeep's salary is double that of Satish and Anoop. II. Anoop gets Rs. 4,000 less than Sandeep.

  1. 1

  2. 2

  3. 3

  4. 4

  5. e
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B Correct answer
Explanation

Statement I: (A-S) = 2(S-A) implies A=S, which is impossible given the ratio. Statement II: A = S - 4000. Using the ratio 4:5:7, A=5x, S=7x. 7x - 5x = 4000, so 2x = 4000, x = 2000. Anoop's salary = 5 * 2000 = 10,000. Statement II alone is sufficient.

AI explanation

The given ratio of salaries for Satish, Anoop, and Sandeep is 4:5:7, meaning Anoop's salary represents 5 ratio units. Statement II provides the concrete value of 2 ratio units by stating Anoop gets Rs. 4,000 less than Sandeep, which allows you to find the exact value of one unit (Rs. 2,000) and calculate Anoop's salary (5 * 2,000 = Rs. 10,000). Statement I only restates the proportional relationship already given in the question (difference between 7 and 5 is double the difference between 5 and 4), so it adds no new numerical information. Statement II alone is sufficient to answer the question.

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