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

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Andy, George and Sally are a team of consultants working on Project Alpha. They have an eight hour deadline to complete the project. The team members work at constant rates throughout the eight hour period. If the team of three has to begin work now and no one else can work on this project, will Project Alpha be completed by the deadline?

1. Sally can finish the project alone in 4k+7 hours, where k is a positive integer with a minimum value of 1 and a maximum value of 5. 2. Working alone, George will take 2k+1 hours and Andy will take 3+2k hours, where k is a positive integer with a minimum value of 1 and a maximum value of 5

a. Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient b. Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient c. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient d. EACH statement ALONE is sufficient e. Statements (1) and (2) TOGETHER are NOT sufficient

Statement (1) by itself is not sufficient. From S1, we know Sally can finish the project in 4k+7 hours, but we know nothing about George's or Andy's time. Check if Sally can finish the work by herself. If k is the smallest value (1), Sally will need 11 hours to finish the project. We need to know George's and/or Andy's rate.

Statement (2) by itself is sufficient. From S2, we know that George will take 2k+1 hours and Andy will take 2k+3 hours.

Check whether George and Andy can finish the project by themselves. Check to see if the maximum value of k is sufficient for these two together to finish the project. If the maximum value of k = 5 , then George needs 11 hours and Andy needs 13 hours to finish the project alone.

Working together for one hour, George and Andy will finish: 1/11 + 1/13 > 1/8

of the work. Thus, working together, George and Andy finish a greater portion of work per hour than the required . As a result, they will easily finish the project by themselves. It is not necessary to know Sally's time to answer the question.

Hence answer is B.

My question: How can you assume the maximum value for K when the question clearly specifies a range for K and doesnt talk about any condition to choose the maximum value. The answer would be E, if one were to not assume the max value for K. Please clarify.

Andy, George and Sally are a team of consultants working on Project Alpha. They have an eight hour deadline to complete the project. The team members work at constant rates throughout the eight hour period. If the team of three has to begin work now and no one else can work on this project, will Project Alpha be completed by the deadline?

Sally can finish the project alone in hours, where is a positive integer with a minimum value of 1 and a maximum value of 5. Working alone, George will take hours and Andy will take hours, where is a positive integer with a minimum value of 1 and a maximum value of 5

a. Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient b. Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient c. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient d. EACH statement ALONE is sufficient e. Statements (1) and (2) TOGETHER are NOT sufficient

Statement (1) by itself is not sufficient. From S1, we know Sally can finish the project in hours, but we know nothing about George's or Andy's time. Check if Sally can finish the work by herself. If is the smallest value (1), Sally will need 11 hours to finish the project. We need to know George's and/or Andy's rate.

Statement (2) by itself is sufficient. From S2, we know that George will take hours and Andy will take hours.

Check whether George and Andy can finish the project by themselves. Check to see if the maximum value of is sufficient for these two together to finish the project. If the maximum value of k=5 , then George needs 11 hours and Andy needs 13 hours to finish the project alone.

Working together for one hour, George and Andy will finish: 1/11 + 1/13 > 1/8

of the work. Thus, working together, George and Andy finish a greater portion of work per hour than the required . As a result, they will easily finish the project by themselves. It is not necessary to know Sally's time to answer the question.

Hence answer is B.

My question: How can you assume the maximum value for K when the question clearly specifies a range for K and doesnt talk about any condition to choose the maximum value. The answer would be E, if one were to not assume the max value for K. Please clarify.

I had problem to understand this question! where did you get 11 and 13 thing? _________________