GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 17 Jan 2019, 01:28

### 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

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

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### The winning strategy for a high GRE score

January 17, 2019

January 17, 2019

08:00 AM PST

09:00 AM PST

Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
• ### Free GMAT Strategy Webinar

January 19, 2019

January 19, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

# If n is a positive integer greater than 2, n=?

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Manager
Joined: 20 Jun 2012
Posts: 82
Location: United States
Concentration: Finance, Operations
GMAT 1: 710 Q51 V25
If n is a positive integer greater than 2, n=?  [#permalink]

### Show Tags

25 Jun 2013, 00:26
2
6
00:00

Difficulty:

95% (hard)

Question Stats:

40% (02:04) correct 60% (01:32) wrong based on 184 sessions

### HideShow timer Statistics

If n is a positive integer greater than 2, n=?

(1) The tens' digit of 11^n is 4.
(2) The hundreds' digit of 5^n is 6.

_________________

Forget Kudos ... be an altruist

Verbal Forum Moderator
Joined: 10 Oct 2012
Posts: 611
Re: If n is a positive integer greater than 2, n=?  [#permalink]

### Show Tags

25 Jun 2013, 02:32
2
3
stunn3r wrote:
If n is a positive integer greater than 2, n=?

(1) The tens' digit of 11^n is 4.
(2) The hundreds' digit of 5^n is 6.

The units digit of $$11^n$$ for any positive integer (n) is always 1. Also, the tens digit of $$11^n$$, follows a cyclic order, and assumes all the values from 0-9.

$$11^1 = 11$$
$$11^2 = X21$$
$$11^3 = XX31$$
$$11^4 = XXX41$$ and so on

The tens and units digit for $$5^n$$, is always 25, for$$n\geq2$$. The hundreds digit keeps switching between 1 for n = odd OR as 6 for n = even

From F.S 1, we would have the tens digit as 4 for n = 4, and then again for n = (4+10) = 14. Insufficient.

From F. S 2, we would have the hundreds digit as 6 for n = 4,6,8 and so on. Insufficient.

Even after combing both fact statements, n could be n = 4 or n = 14. Insufficient.

E.
_________________
##### General Discussion
Manager
Joined: 22 Jan 2014
Posts: 174
WE: Project Management (Computer Hardware)
Re: If n is a positive integer greater than 2, n=?  [#permalink]

### Show Tags

27 Sep 2014, 04:38
1
stunn3r wrote:
If n is a positive integer greater than 2, n=?

(1) The tens' digit of 11^n is 4.
(2) The hundreds' digit of 5^n is 6.

E.

1) 11^1 = 11
11^2 = 121
11^3 = 1331
11^4 = 14641
.
.
.
11^10 mod 100 = 01
(taking mod 100 or remainder by 100 as that gives the ten's digit)
after this the cycle repeats
11^14 will also have ten's digit as 4.
11^n will have ten's digit as 4 for n = 4,14,24,...
So, insufficient.

2) 5^4 = 625
5^14 mod 1000 = 625
so here also n would be 4,14,...

E is therefore the answer.
_________________

Illegitimi non carborundum.

Manager
Joined: 05 Oct 2017
Posts: 66
Location: India
Schools: GWU '21, Isenberg'21
Re: If n is a positive integer greater than 2, n=?  [#permalink]

### Show Tags

10 Dec 2018, 04:14
Trap Question alert !!!

One should consider all the case and follow the pattern for both the statement

Option E is right choice
_________________

The Path is the Goal

Quant Mega Thread by Bunnel
WTF is “that” doing in my sentence? By VerbalNinja

Re: If n is a positive integer greater than 2, n=? &nbs [#permalink] 10 Dec 2018, 04:14
Display posts from previous: Sort by

# If n is a positive integer greater than 2, n=?

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.