Question

Two statements numbered I and II given below. Decide whether the data provided in the statements is sufficient to answer the question.

Rajeev's monthly salary is Rs. 4000. What is Atul's monthly salary ?
I. Atul gets Rs 500 more than the average salary of his and Rajeev's.
II. Average of Rajeev's and Atul's salary is Rs. 4500.

• A. The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
• B. The data in statement II alone are sufficient to answer the question, while the data in statement i alone are not sufficient to answer the question
• C. The data either in statement I alone or in statement II alone are sufficient to answer the question
• D. The data given in both statements I and II together are necessary to answer the question
• E. The data given in both statements I and II together are not sufficient to answer the question

Answer 1

The correct option is C The data either in statement I alone or in statement II alone are sufficient to answer the question

Statement 1

Rajeev's salary $=$ $4000$ and

Let Atul's salary $=$ A

A $=$ [ (A+$4000$) / $2$ ] + $500$

A - ( A+$4000$ )/$2$ $=$ $500$

A$=$ $2500\times 2$ $=$ $5000$

Statement 2

($4000$+A)/2$=$ $4500$

2000 + A/2$=$ $4500$

A $=$ $2500\times 2$ $=$ $5000$

Hence data in statement 1 alone and statement 2 alone are sufficient to answer the question

option C