XAT 2016 — QA & DI Question 23
Answer the next 4 questions based on the information given below.
This graph depicts the last eight years annual salaries (in Rs. lacs.) offered to student during campus placement. Every year 100 students go through placement process. However, at least one of them fails to get placed. The salaries of all unplaced students are marked zero and represented in the graph.
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The bold line in the graph presents Mean salaries at various years.
In which year were a maximum number of students offered salaries between Rs. 20 to Rs. 30 lacs (both inclusive)?
Answer & solution
- A
2008
- B
2009
- C
2010
- D
2012
Cannot be determined
For a salary range we can get the highest and the lowest number of people in that salary range but cannot get the actual distribution of students.
In the year 2008, for 20-30 lac salary range, we have a complete salary range (76-100) inside it and some students of the range 51-75.
Hence, there will be at least 26 students and at max 49 students in 20-30 lac salary range.
In the year 2009 some students of the range 51-75 and some students of the range 75-100.
Hence, there will be minimum 1 student and at max 49 students in 20-30 lac salary range.
In the year 2010 some students of the range 26-50 range, all students from 51-75 range and some students of the range 76-100.
Hence, there will be minimum 27 students and at max 73 students in 20-30 lac salary range.
In the year 2012 we have a complete salary range 51-75 inside it and some students of the range (76-100).
Hence, there will be minimum 26 students and at max 49 students in 20-30 lac salary range.
Since we cannot determine the exact students and cannot infer a particular year. Hence the answer cannot be determined.
Hence, option (e).