Multiple choice

Directions: In the following problem, a question is followed by three statements numbered (I), (II), and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question. What is the salary of Ravi if the ratio of salaries of Ajay and Ravi is 5 : 8? I. Ajay's salary is Rs. 5000 less than Amar's salary. II. Ravi's salary is Rs. 10,000 more than Amar's salary. III. Ajay's salary is Rs. 15,000 less than Ravi's salary.

  1. Only statement II and either statement I or statement III

  2. Only statements I and II

  3. Only statement III

  4. Only statement III or statements I and II

  5. All three statements
Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

The ratio of Ajay's to Ravi's salary is given as 5:8, meaning the difference in their salary parts is 3 units. Statement III directly states that this 3-unit difference equals Rs. 15,000, which immediately allows you to find Ravi's salary by solving 8 units = Rs. 40,000. If statement III is not used, combining statements I and II provides a system of equations: Amar - Ajay = 5000 and Ravi - Amar = 10,000. Adding these two equations eliminates Amar and yields Ravi - Ajay = 15,000, providing the exact same 3-unit difference needed to find Ravi's salary. Thus, the question can be answered using only statement III or by using statements I and II together.

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