XAT 2012 — QA & DI Question 2
Ramesh analysed the monthly salary figures of five vice presidents of his company. All the salary figures are integers. The mean and the median salary figures are Rs. 5 lakh, and the only mode is Rs. 8 lakh. Which of the options below is the sum (in Rs. lakh) of the highest and the lowest salaries?
Answer & solution
9
- B
10
- C
11
- D
12
- E
None of the above.
Mean of the salaries of the five vice presidents is Rs. 5 lakhs. Hence, sum of the salaries of the five vice presidents = 25 lakhs.
Now, median of the salaries is Rs. 5 lakhs and 8 is the only mode.
Hence, the highest salary and second highest salaries are both 8 lakhs.
Hence, sum of two lowest salaries = 25 – (5 + 8 + 8) = 4 Lakhs.
As 8 is the only mode hence, the only combination of the lowest salaries is 1 lakhs and 3 lakhs.
Hence, lowest salary = Rs. 1 lakh.
Hence, the required sum = 8 + 1 = 9 lakhs.
Hence, option (a).