If X is the set of prime...

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

Redeem

This topic has expert replies

Post new topic Post Reply

Previous Topic Next Topic

BTGmoderatorLU: Moderator; Posts: 2505; Joined: Sun Oct 15, 2017 1:50 pm; Followed by:6 members

If X is the set of prime...

by BTGmoderatorLU » Thu Oct 19, 2017 7:12 am

If X is the set of prime single-digit numbers and Y is a set containing each of the numbers in set X raised to the power of 2, how much greater is the median of set Y than the median of set X?

A. 2
B. 4
C. 9
D. 13
E. 17

The OA is D.

Why D is the correct answer? Can any expert help me with this PS question please? Thanks.

Quote

Source: Beat The GMAT — Problem Solving | Thu Oct 19, 2017 7:12 am

DavidG@VeritasPrep: Legendary Member; Posts: 2663; Joined: Wed Jan 14, 2015 8:25 am; Location: Boston, MA; Thanked: 1153 times; Followed by:128 members; GMAT Score:770

by DavidG@VeritasPrep » Thu Oct 19, 2017 7:40 am

LUANDATO wrote:If X is the set of prime single-digit numbers and Y is a set containing each of the numbers in set X raised to the power of 2, how much greater is the median of set Y than the median of set X?

A. 2
B. 4
C. 9
D. 13
E. 17

The OA is D.

Why D is the correct answer? Can any expert help me with this PS question please? Thanks.

Set X [2, 3, 5, 7] Median = (3+5)/2 = 4
Set Y [2^2, 3^2, 5^2, 7^2] or [4, 9, 25, 49] Median = (9+25)/2 = 17
17 - 4 = 13. The answer is D

Veritas Prep | GMAT Instructor

Veritas Prep Reviews
Save $100 off any live Veritas Prep GMAT Course

Quote

GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Fri Nov 22, 2019 11:53 am

BTGmoderatorLU wrote:If X is the set of prime single-digit numbers and Y is a set containing each of the numbers in set X raised to the power of 2, how much greater is the median of set Y than the median of set X?

A. 2
B. 4
C. 9
D. 13
E. 17

The OA is D.

Why D is the correct answer? Can any expert help me with this PS question please? Thanks.

We see that X = {2, 3, 5, 7} and Y = {4, 9, 25 49}. Therefore, the median of set X is (3 + 5)/2 = 4, and that of set Y is (9 + 25)/2 = 17. So the median of set Y is 17 - 4 = 13 greater than the median of set X.

Answer: D

Scott Woodbury-Stewart
Founder and CEO
[email protected]