Events & Promotions
|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
May 2110:00 AM EDT
-11:59 PM EDT
Make the most of your break with the most realistic GMAT™ prep. Take up to $700 off select products.
May 2910:00 AM IST
-11:00 PM IST
Start your journey with a fully customized action plan and work with a dedicated mentor to achieve a 735+ score.
Jun 1006:00 AM PDT
-06:15 PM PDT
Register for the GMAT Club Virtual MBA Spotlight Fair – the world’s premier event for serious MBA candidates. This is your chance to hear directly from Admissions Directors at nearly every Top 30 MBA program..
12 Mar 2026, 06:09
Kudos
Bookmarks
Age at Hire: 36
Years after Hire Date: 28
A company makes a certain retirement package available to each employee starting on the anniversary of their hiring date when the sum of the employee’s age and the number of years she/he has worked for the company first equals or exceeds 91.
Select for Age at Hire a possible age at hiring, and select Years after Hire Date the number of years after being hired for an employee on the date when this retirement package is first made available to her/him. Make only two selections, one in each column.
Select for Age at Hire a possible age at hiring, and select Years after Hire Date the number of years after being hired for an employee on the date when this retirement package is first made available to her/him. Make only two selections, one in each column.
| Age at Hire | Years after Hire Date | |
| 26 | ||
| 28 | ||
| 30 | ||
| 34 | ||
| 36 |
ShowHide Answer
Official Answer
Age at Hire: 36
Years after Hire Date: 28
12 Mar 2026, 06:09
Kudos
Bookmarks
Official Solution:
First let’s investigate the required condition (age + years with the company ≥ 91) a little more closely. Every additional year worked by an employee increases BOTH the employee’s age AND years of experience by 1, so the sum of these will go up by 2 for each additional year worked. Accordingly, the package becomes available when this sum becomes either 91 or 92.
In other words, the required condition is
\(91 \le \text{Current age} + \text{Years of experience} \le 92\).
The variables in the columns, however, are not current age and years of experience—they’re age AT HIRE and years of experience. Let’s define variables for these: say the employee was \(a\) years old when hired, and has now worked \(y\) years for the company.
With these choices, the employee’s CURRENT age is \((a + y)\) years, and therefore we can write the required condition in terms of \(a\) and \(y\):
\(91 \le (a + y) + y \le 92\).
\(91 \le a + 2y \le 92 \).
If we solve this inequality for one of the variables, we’ll get a ‘formula’ into which we can plug the available numbers and get the workable values for the other variable. Solving for \(a\) is straightforward—just subtract \(2y\) from each component of the inequality:
\(91 - 2y \le a \le 92 - 2y\).
We can now plug each of the five available values into this inequality for \(y\), which will tell us the values of \(a\) that, together with that \(y\)-value, should solve the problem. Only one of those results should contain any of the other available values, and that pair of values will be our solution.
\(y\) (Years of exp) --- \(91 - 2y \le a \le 92 - 2y\) (Range of \(a\) = Age at hire)
26 ------------------ \(39 \le a \le 40\)
28 ------------------ \(35 \le a \le 36\)
30 ------------------ \(31 \le a \le 32\)
34 ------------------ \(23 \le a \le 24\)
36 ------------------ \(19 \le a \le 20\)
The second row contains the possibility \(a = 36\), which is one of the available choices; none of the other possible ranges for \(a\) contains any of the choices.
Correct answer:
Age at Hire "36"
Years after Hire Date "28"
Bunuel
First let’s investigate the required condition (age + years with the company ≥ 91) a little more closely. Every additional year worked by an employee increases BOTH the employee’s age AND years of experience by 1, so the sum of these will go up by 2 for each additional year worked. Accordingly, the package becomes available when this sum becomes either 91 or 92.
In other words, the required condition is
\(91 \le \text{Current age} + \text{Years of experience} \le 92\).
The variables in the columns, however, are not current age and years of experience—they’re age AT HIRE and years of experience. Let’s define variables for these: say the employee was \(a\) years old when hired, and has now worked \(y\) years for the company.
With these choices, the employee’s CURRENT age is \((a + y)\) years, and therefore we can write the required condition in terms of \(a\) and \(y\):
\(91 \le (a + y) + y \le 92\).
\(91 \le a + 2y \le 92 \).
If we solve this inequality for one of the variables, we’ll get a ‘formula’ into which we can plug the available numbers and get the workable values for the other variable. Solving for \(a\) is straightforward—just subtract \(2y\) from each component of the inequality:
\(91 - 2y \le a \le 92 - 2y\).
We can now plug each of the five available values into this inequality for \(y\), which will tell us the values of \(a\) that, together with that \(y\)-value, should solve the problem. Only one of those results should contain any of the other available values, and that pair of values will be our solution.
\(y\) (Years of exp) --- \(91 - 2y \le a \le 92 - 2y\) (Range of \(a\) = Age at hire)
26 ------------------ \(39 \le a \le 40\)
28 ------------------ \(35 \le a \le 36\)
30 ------------------ \(31 \le a \le 32\)
34 ------------------ \(23 \le a \le 24\)
36 ------------------ \(19 \le a \le 20\)
The second row contains the possibility \(a = 36\), which is one of the available choices; none of the other possible ranges for \(a\) contains any of the choices.
Correct answer:
Age at Hire "36"
Years after Hire Date "28"
02 May 2026, 20:33
Kudos
Bookmarks
here equal or exceed 91 so why it would less than equal to 92 fro where you put limit for 92 please explain
Bunuel
