Last visit was: 01 May 2026, 13:53 It is currently 01 May 2026, 13:53
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
   1   2 
User avatar
gracie
User avatar
Joined: 07 Dec 2014
Last visit: 11 Oct 2020
Posts: 1,028
Own Kudos:
2,027
Given Kudos: 27
Posts: 1,028
Kudos: 2,027
Given that p is a positive even integer with a positive 01 Mar 2018, 17:24
Kudos
Add Kudos
Bookmarks
Bookmark this Post
u2lover
Given that p is a positive even integer with a positive units digit, if the units digit of p^3 minus the units digit of p^2 is equal to 0, what is the units digit of p + 3?

A. 3
B. 6
C. 7
D. 9
E. It cannot be determined from the given information.
Show more

all exponential values of 6 have a units digit of 6
6^3=216
6^2=36
6+3=9
D
User avatar
Salsanousi
User avatar
Joined: 19 Oct 2013
Last visit: 29 Dec 2020
Posts: 391
Own Kudos:
358
Given Kudos: 117
Location: Kuwait
GPA: 3.2
WE:Engineering (Real Estate)
Posts: 391
Kudos: 358
Given that p is a positive even integer with a positive 05 Oct 2018, 09:30
Kudos
Add Kudos
Bookmarks
Bookmark this Post
u2lover
Given that p is a positive even integer with a positive units digit, if the units digit of p^3 minus the units digit of p^2 is equal to 0, what is the units digit of p + 3?

A. 3
B. 6
C. 7
D. 9
E. It cannot be determined from the given information.
Show more

5 and 6 are the two numbers that to whatever power they are other than 0, the units digit will be 5 or 6.

Since p is positive even integer. meaning it is 6.

6 + 3 = 9

Answer choice D
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 01 May 2026
Posts: 22,310
Own Kudos:
26,563
Given Kudos: 302
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 22,310
Kudos: 26,563
Given that p is a positive even integer with a positive 27 Feb 2019, 10:23
Kudos
Add Kudos
Bookmarks
Bookmark this Post
u2lover
Given that p is a positive even integer with a positive units digit, if the units digit of p^3 minus the units digit of p^2 is equal to 0, what is the units digit of p + 3?

A. 3
B. 6
C. 7
D. 9
E. It cannot be determined from the given information.
Show more

The only single digit numbers for which the difference between the units digit of its cube and the units digit of its square is 0 are: 0, 1, 5, and 6. However, since p is a positive even integer with a positive units digit, its units digit must be 6. Thus, the units digit of p + 3 is 9.

Answer: D
avatar
thyagi
avatar
Joined: 19 Jan 2019
Last visit: 28 Dec 2020
Posts: 80
Own Kudos:
64
Given Kudos: 8
GMAT 1: 650 Q49 V30
GMAT 1: 650 Q49 V30
Posts: 80
Kudos: 64
Given that p is a positive even integer with a positive 27 Feb 2019, 20:15
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The only positive Even integer which will give same units digit when raised to any power > 0 is 6.. 6^2 will give the same units digit as 6^3..
Therefore the number can be 6,16,26..... Units digit of p+3 will always end with a 9.. D is the right answer.

Posted from my mobile device
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 01 May 2026
Posts: 8,636
Own Kudos:
5,193
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
Products:
GMAT Club Tests Forum Quiz
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,636
Kudos: 5,193
Given that p is a positive even integer with a positive 01 Mar 2020, 04:52
Kudos
Add Kudos
Bookmarks
Bookmark this Post
u2lover
Given that p is a positive even integer with a positive units digit, if the units digit of p^3 minus the units digit of p^2 is equal to 0, what is the units digit of p + 3?

A. 3
B. 6
C. 7
D. 9
E. It cannot be determined from the given information.
Show more

given that p^3-p^2 = 0
p^2(p-1)= 0
p is even integer so for above relation only possible when p=6
so p+3 ; 9
IMO D
User avatar
adityaprateek15
User avatar
Joined: 26 May 2023
Last visit: 01 May 2026
Posts: 346
Own Kudos:
170
Given Kudos: 323
Location: India
Schools: Ross '26 Tepper '26 McCombs '26
GPA: 2.7
Schools: Ross '26 Tepper '26 McCombs '26
Posts: 346
Kudos: 170
Given that p is a positive even integer with a positive 30 Aug 2025, 15:07
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Given,
p = 2,4,6,8....2n
p ≠ 0 since U.D. is positive

p^3-p^2 results in a number whose U.D is 0,
P^2(p-1) should result in a number with U.D. as 0....(1)

Substitute the possible values of p in (1) starting with 2 until you get a number with U.D. as 0

If p=2, 4x1 = 4
If p=4, 16x3 = 48
If p=6, 36x5 = 180 Bingo!

p+3 = 6+3 = 9

u2lover
Given that p is a positive even integer with a positive units digit, if the units digit of p^3 minus the units digit of p^2 is equal to 0, what is the units digit of p + 3?

A. 3
B. 6
C. 7
D. 9
E. It cannot be determined from the given information.
Show more
User avatar
imaityaroy
User avatar
Joined: 18 Nov 2020
Last visit: 01 May 2026
Posts: 23
Own Kudos:
3
Given Kudos: 44
Posts: 23
Kudos: 3
Given that p is a positive even integer with a positive 14 Oct 2025, 13:08
Kudos
Add Kudos
Bookmarks
Bookmark this Post
P = Even
P has cyclicity of 1 so. P = 0,1,5,6
Intersection .. P = 6
P+3 = 9...D
   1   2 
Moderators:
Bunuel
Math Expert
110001 posts
Krunaal
Tuck School Moderator
852 posts