a, b, c, d, and e are positive integers satisfying the following. What is the value of a + b + c + d + e?

Expert replies

Previous Topic Next Topic

Max@Math Revolution: Elite Legendary Member; Posts: 3991; Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members; Location: Las Vegas, USA; Thanked: 19 times

by Max@Math Revolution » Wed Aug 05, 2020 1:41 am

Timer

00:00

Answers

Stats

Difficulty—

[GMAT math practice question]

a, b, c, d, and e are positive integers satisfying the following. What is the value of a + b + c + d + e?

A. 10
B. 12
C. 14
D. 16
E. 18

Last edited by Max@Math Revolution on Fri Aug 07, 2020 12:08 am, edited 1 time in total.

Math Revolution

The World's Most "Complete" GMAT Math Course!
Score an excellent Q49-51 just like 70% of our students.
[Free] Full on-demand course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions.
[Course] Starting $79 for on-demand and $60 for tutoring per hour and $390 only for Live Online.
Email to : [email protected]

Like this post

Source: Beat The GMAT — Problem Solving | Wed Aug 05, 2020 1:41 am

GMATprofessional21: Junior | Next Rank: 30 Posts; Posts: 10; Joined: Wed Aug 05, 2020 2:05 am

Re: a, b, c, d, and e are positive integers satisfying the following. What is the value of a + b + c + d + e?

by GMATprofessional21 » Wed Aug 05, 2020 2:42 am

There is no way to solve this without knowing more information, I think you are missing some of the necessary criteria on a, b, c, d, and e.

Like this post

Max@Math Revolution: Elite Legendary Member; Posts: 3991; Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members; Location: Las Vegas, USA; Thanked: 19 times

Re: a, b, c, d, and e are positive integers satisfying the following. What is the value of a + b + c + d + e?

by Max@Math Revolution » Fri Aug 07, 2020 12:09 am

=>
When we divide 382 by 73, we have the expression 382 = 73·5 + 17 or 382/73 = 5 + 17/73.
When we divide 73 by 17, we have the expression 73 = 17·4 + 5 or 73/17 = 4 + 5/17.
When we divide 17 by 5, we have the expression 17 = 5·3 + 2 or 17/5 = 3 + 2/5.
When we divide 5 by 2, we have the expression 5 = 2·2 + 1 or 5/2 = 2 + 1/2.
Then we have 382 = 5 + 17/73

Thus ,we have a = 5, b = 4, c = 3, d = 2, and e = 2. Then a + b + c + d + e = 5 + 4 + 3 + 2 + 2 = 16.
Therefore, D is the correct answer.
Answer: D

Like this post

Post new topic Post Reply

• Page 1 of 1

GMAT Course Reviews

563 reviews

1168 reviews

431 reviews

359 reviews

147 reviews

5/5

5 Star (563 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review