Last visit was: 22 Apr 2026, 11:58 It is currently 22 Apr 2026, 11:58
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: 22 Apr 2026
Posts: 109,751
Own Kudos:
810,648
 [1]
Given Kudos: 105,821
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,751
Kudos: 810,648
 [1]
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
User avatar
yashikaaggarwal
User avatar
Senior Moderator - Masters Forum
Joined: 19 Jan 2020
Last visit: 29 Mar 2026
Posts: 3,089
Own Kudos:
Given Kudos: 1,510
Location: India
GPA: 4
WE:Analyst (Internet and New Media)
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
nick1816
User avatar
Retired Moderator
Joined: 19 Oct 2018
Last visit: 12 Mar 2026
Posts: 1,841
Own Kudos:
Given Kudos: 707
Location: India
Posts: 1,841
Kudos: 8,508
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 22 Apr 2026
Posts: 8,627
Own Kudos:
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 Focus 2: 645 Q83 V82 DI81
Posts: 8,627
Kudos: 5,190
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
Arrange the following terms in the increasing order of their units digits:

I. 7^5
II. 8^6
III. 12^3

A. I < II < III
B. I < III < II
C. II < III < I
D. II < I < III
E. III < I < II

use cyclicity to determine the last digit
7^5 = 7
8^6 = 4
12^3 = 8
II < I < III option d
User avatar
Anuramaa
Joined: 15 Nov 2023
Last visit: 16 Feb 2025
Posts: 9
Own Kudos:
Given Kudos: 69
Posts: 9
Kudos: 15
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel Shouldn't the answer be Option E?

Obviously 1 < 2

Because base of 2 > 1 and power of 2 > 1

Then 1 > 3

Because rounding off 7^2 * 7^2 as 50*50 would give 2500 --> 2500*7 gives us 17500 approx.
12*12 = 144 and then 144*12 is somewhere around 1440+ approx (if we consider 144*10) which is way off

Bunuel
Arrange the following terms in the increasing order of their units digits:

I. 7^5
II. 8^6
III. 12^3

A. I < II < III
B. I < III < II
C. II < III < I
D. II < I < III
E. III < I < II
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 22 Apr 2026
Posts: 109,751
Own Kudos:
Given Kudos: 105,821
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,751
Kudos: 810,648
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Anuramaa
Bunuel Shouldn't the answer be Option E?

Obviously 1 < 2

Because base of 2 > 1 and power of 2 > 1

Then 1 > 3

Because rounding off 7^2 * 7^2 as 50*50 would give 2500 --> 2500*7 gives us 17500 approx.
12*12 = 144 and then 144*12 is somewhere around 1440+ approx (if we consider 144*10) which is way off

Bunuel
Arrange the following terms in the increasing order of their units digits:

I. 7^5
II. 8^6
III. 12^3

A. I < II < III
B. I < III < II
C. II < III < I
D. II < I < III
E. III < I < II

It seems that you've missed both to read the question carefully and review the discussion.

Arrange the following terms in the increasing order of their units digits:
Moderators:
Math Expert
109751 posts
Tuck School Moderator
853 posts