BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

A is a set containing 7 different numbers. B is a set contai

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 187
Joined: Tue Sep 13, 2016 12:46 am

A is a set containing 7 different numbers. B is a set contai

by alanforde800Maximus » Sat Sep 17, 2016 10:39 am
A is a set containing 7 different numbers. B is a set containing 6 different numbers, all of which are members of A. Which of the following statements CANNOT be true?

A) The range of A is equal to the range of B
B) The mean of A is greater than the mean of B
C) The range of A is less than the range of B
D) The mean of A is equal to the mean of B
E) The median of A is equal to the median of B

Please assist with above problem.
Top
Source: — Problem Solving |
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pm
Location: New York, NY
Thanked: 13060 times
Followed by:1906 members
GMAT Score:790

by GMATGuruNY » Sat Sep 17, 2016 2:16 pm
alanforde800Maximus wrote:A is a set containing 7 different numbers. B is a set containing 6 different numbers, all of which are members of A. Which of the following statements CANNOT be true?

A) The range of A is equal to the range of B
B) The mean of A is greater than the mean of B
C) The range of A is less than the range of B
D) The mean of A is equal to the mean of B
E) The median of A is equal to the median of B
Let B = {1, 3, 5, 7, 9, 11}

All of the members of B are also members of A.
Since A must include all of the values contained in B, its range cannot be smaller than B's range.

The correct answer is C.

A) The range of A is equal to the range of B
D) The mean of A is equal to the mean of B
E) The median of A is equal to the median of B
These options are possible if A = {1, 3, 5, 6, 7, 9, 11}

B) The mean of A is greater than the mean of B
This option is possible if A = {1, 3, 5, 7, 9, 11, 100}
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Post new topic Post Reply
• Page 1 of 1