Last visit was: 12 Dec 2024, 02:46 It is currently 12 Dec 2024, 02:46
Close
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

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.
Close
Request Expert Reply
Confirm Cancel
User avatar
BillyZ
User avatar
Current Student
Joined: 14 Nov 2016
Last visit: 20 Oct 2024
Posts: 1,158
Own Kudos:
21,369
 [2]
Given Kudos: 926
Location: Malaysia
Concentration: General Management, Strategy
GMAT 1: 750 Q51 V40 (Online)
GPA: 3.53
Products:
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
User avatar
rohit8865
Joined: 05 Mar 2015
Last visit: 11 Dec 2024
Posts: 840
Own Kudos:
Given Kudos: 45
Products:
Posts: 840
Kudos: 908
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
0akshay0
Joined: 19 Apr 2016
Last visit: 14 Jul 2019
Posts: 203
Own Kudos:
Given Kudos: 59
Location: India
GMAT 1: 570 Q48 V22
GMAT 2: 640 Q49 V28
GPA: 3.5
WE:Web Development (Computer Software)
GMAT 2: 640 Q49 V28
Posts: 203
Kudos: 583
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
BillyZ
User avatar
Current Student
Joined: 14 Nov 2016
Last visit: 20 Oct 2024
Posts: 1,158
Own Kudos:
Given Kudos: 926
Location: Malaysia
Concentration: General Management, Strategy
GMAT 1: 750 Q51 V40 (Online)
GPA: 3.53
Products:
Kudos
Add Kudos
Bookmarks
Bookmark this Post
ziyuen
Tom started a company with 5 of his friends from the college. They made a software and sold it. Tom sold 15, and his friends each sold at least 1. Did Tom sell more than at least 3 of his friends?

1) The median number of software sold by 5 friends is 14.
2) The average number of software sold by 5 friends is 9.

OFFICIAL EXPLANATION



If you look at the original condition, there are 5 variables (since you have to know the number of software sold by each of his 5 friends), and 1 equation (at least 1 was sold). In order to match the number of variables to the number of equations, there must be 4 more equations. Therefore, E is most likely to be the answer. By solving con 1) and con 2), you get the median by arranging all the numbers in an ascending order, so you get

(1 sell), (1 sell), (14 sells), (14 sells), (15 sells).

This is because the total average of 9 are sold, and the total sum of 5*9=45 should have been sold. Thus, Tom, who always sold 15, sold more than 4 of his other friends, the condition is yes and sufficient. The answer is C.

However, this is an integer question, one of the key questions, “CMT 4(A: if you get C too easily, consider A or B, B: if you get A or B too easily, consider D)”can be applied.

In the case of con 1), the median number of sells is 14, so you get

(14 sells in maximum), (14 sells in maximum), (14 sells), ( ), ( ). Thus, Tom always sold 15 more than 3 of his friends, hence yes it is sufficient.

In the case of con 2), in order for it to be no, it should be

(1 sell), (1 sell), (15 sells), (15 sells), (15sells). However, in this way, the total sum becomes 1+1+15+15+15, so the total average of sells cannot be 9, hence it is impossible. Thus, it is always at least (1 sell), (1 sell), (13 sells),

(15 sells), (15 sells), and the total average of software sold is 9. Therefore, Tom sold 15 sold more than at least 3 of his friends, hence yes, it is sufficient. The answer is D.
Moderator:
Math Expert
97841 posts