Last visit was: 29 Apr 2026, 17:49 It is currently 29 Apr 2026, 17:49
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
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 29 Apr 2026
Posts: 109,975
Own Kudos:
811,985
 [4]
Given Kudos: 105,949
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,975
Kudos: 811,985
 [4]
Kudos
Add Kudos
4
Bookmarks
Bookmark this Post
User avatar
Kurtosis
User avatar
Current Student
Joined: 13 Apr 2015
Last visit: 10 Nov 2021
Posts: 1,384
Own Kudos:
5,238
 [2]
Given Kudos: 1,228
Location: India
Products:
Posts: 1,384
Kudos: 5,238
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
rohit8865
Joined: 05 Mar 2015
Last visit: 19 Apr 2026
Posts: 815
Own Kudos:
Given Kudos: 45
Products:
Posts: 815
Kudos: 1,008
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
BrentGMATPrepNow
User avatar
Major Poster
Joined: 12 Sep 2015
Last visit: 31 Oct 2025
Posts: 6,733
Own Kudos:
36,478
 [1]
Given Kudos: 799
Location: Canada
Expert
Expert reply
Posts: 6,733
Kudos: 36,478
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If n is a positive integer, is n + 2 > z?

(1) z² > n
(2) z – n < 0

Target question: Is n + 2 > z?

Given: n is a positive integer

Statement 1: z² > n
This statement doesn't FEEL sufficient, so I'll TEST some values.
There are several values of z and n that satisfy statement 1. Here are two:
Case a: z = 2 and n = 3. In this case, n + 2 = 3 + 2 = 5, which means n + 2 > z
Case b: z = 10 and n = 3. In this case, n + 2 = 3 + 2 = 5, which means n + 2 < z
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Aside: For more on this idea of plugging in values when a statement doesn't feel sufficient, you can read my article: https://www.gmatprepnow.com/articles/dat ... lug-values

Statement 2: z – n < 0
Add n to both sides to get: z < n
We ALSO know that n < n + 2
So, we get COMBINE both inequalities to get: z < n < n + 2
From this, we can conclude that z < n + 2
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer:
RELATED VIDEO:
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,996
Own Kudos:
Posts: 38,996
Kudos: 1,120
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Math Expert
109975 posts
498 posts
212 posts