I've been going through a Princeton Review book "1012 GMAT Practice Questions" and have come upon this problem:
"An IT Department employs 8 people at an average salary of $80,000 yearly.
The company pays yearly bonuses equal to 15% of the employee's annual salary.
Does the maximum individual bonus payment due to an employee in the IT department exceed $10,000?"
If I am reading the terms correctly, I know the answer without needing to use either of the statements which follow the question.
If the average salary is $80,000, then the maximum salary is >=$80,000. In all cases where the salary is >=$80,000 the bonus will be >=$12,000, so the answer to the problem's key question "Does the ... bonus ... exceed $10,000?" is already known. I have seen other sample questions like this on other websites so I am concerned that this type of problem will be on the actual GMAT.
The statements for the problem are :
(1) The average salary of the five lowest paid and one highest paid IT employee is $93,600.
(2) IT employee salaries run from 65% to 135% of the average department salary.
The answer page says that "B" is the correct answer because statement 2 allows me to calculate the value of the maximum bonus, but I don't need to know the value of the bonus, just whether or not it exceeds $10,000.
When I saw a similar problem on a website I assumed the website creator had created a poor sample question, but seeing a similar problem in a Princeton Review book has me concerned.
Am I correct that I can answer the key question with neither statement? Has anyone seen other sample problems with this error? Has anyone seen this situation on an actual GMAT exam?
Thanks!