It is currently 23 Feb 2018, 14:26

### 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 June
Open Detailed Calendar

# The digit m is greater than 1, what is m?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 43892
The digit m is greater than 1, what is m? [#permalink]

### Show Tags

06 Dec 2016, 06:26
Expert's post
1
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

70% (00:48) correct 30% (00:58) wrong based on 87 sessions

### HideShow timer Statistics

The digit m is greater than 1, what is m?

(1) The units digit of m is the same as the units digit of m^2
(2) m has 2 factors
[Reveal] Spoiler: OA

_________________
Retired Moderator
Joined: 05 Jul 2006
Posts: 1747
Re: The digit m is greater than 1, what is m? [#permalink]

### Show Tags

07 Dec 2016, 08:10
Bunuel wrote:
The digit m is greater than 1, what is m?

(1) The units digit of m is the same as the units digit of m^2
(2) m has 2 factors

from stem m is integer such that 1<m<=9

from 1

m could be 5 or 6 ... insuff

from 2

m has 2 factors , only primes does thus m could be 2,3,5,7... insuff

from both

m = 5

C
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3326
Location: India
GPA: 3.5
Re: The digit m is greater than 1, what is m? [#permalink]

### Show Tags

07 Dec 2016, 10:48
Bunuel wrote:
The digit m is greater than 1, what is m?

(1) The units digit of m is the same as the units digit of m^2
(2) m has 2 factors

FROM STATEMENT - I ( INSUFFICIENT )

$$m$$ & $$m^2$$ can have same digits only when m (greater than 1) = 5 & 6

So, there are multiple possible values..

FROM STATEMENT - II ( INSUFFICIENT )

This statement alone is insufficient to find the value of m

FROM STATEMENT I & II ( SUFFICIENT )

The value of m must be 5 as 6 has three factors 1, 2 & 3

Hence, BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked , correct answer must be (C)

_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Intern
Joined: 09 Nov 2015
Posts: 39
GMAT 1: 640 Q49 V29
GMAT 2: 720 Q50 V38
Re: The digit m is greater than 1, what is m? [#permalink]

### Show Tags

21 Dec 2016, 09:19
Bunuel wrote:
The digit m is greater than 1, what is m?

(1) The units digit of m is the same as the units digit of m^2
(2) m has 2 factors

Why not m=11? 11^2=121 and 11 have same units digit. Also, 11 has only 2 factors.
Math Expert
Joined: 02 Sep 2009
Posts: 43892
Re: The digit m is greater than 1, what is m? [#permalink]

### Show Tags

21 Dec 2016, 09:34
2
KUDOS
Expert's post
ravi19012015 wrote:
Bunuel wrote:
The digit m is greater than 1, what is m?

(1) The units digit of m is the same as the units digit of m^2
(2) m has 2 factors

Why not m=11? 11^2=121 and 11 have same units digit. Also, 11 has only 2 factors.

It's given that m is a digit, so 0, 1, 2, 3, 4, 5, 6, 7, ,8, 9.
_________________
Manager
Joined: 02 Jun 2015
Posts: 192
Location: Ghana
The digit m is greater than 1, what is m? (1) The units digit of m is [#permalink]

### Show Tags

16 Feb 2017, 02:46
The digit m is greater than 1, what is m?

(1) The units digit of m is the same as the units digit of m^2
(2) m has 2 factors
_________________

Kindly press kudos if you find my post helpful

Senior Manager
Joined: 19 Apr 2016
Posts: 275
Location: India
GMAT 1: 570 Q48 V22
GMAT 2: 640 Q49 V28
GPA: 3.5
WE: Web Development (Computer Software)
The digit m is greater than 1, what is m? (1) The units digit of m is [#permalink]

### Show Tags

16 Feb 2017, 03:46
duahsolo wrote:
The digit m is greater than 1, what is m?

(1) The units digit of m is the same as the units digit of m^2
(2) m has 2 factors

St I
The units digit of m is the same as the units digit of m^2
Numbers with 5 or 6 as unit digit follow the above statement. ----------Insufficient

St II
m has 2 factors => m is prime number and m >1 so m can be 2,3,5... ------------Insufficient

Combining St I and II, we have Only 5 that satisfies both the conditions where 5 is prime and 5>1 and units digit of 5 and $$5^2$$ is same i.e. 5

Hence Option C is correct

PS : # The correct option will be C only if m is a single digit number (Note : The digit m is greater than 1)

# But if m is not a single digit number then the Option will be E as m can also be 11, where 11 > 1 and
units digit of 11 and $$11^2$$=121 is same i.e. 1 and 11 is prime

Hit Kudos if you liked it
Intern
Joined: 03 Jan 2017
Posts: 30
Re: The digit m is greater than 1, what is m? (1) The units digit of m is [#permalink]

### Show Tags

16 Feb 2017, 04:44
Option 1. It can be 5 or 6.
As 5^2=25 and 6^2=36. Not sufficient
Option 2. It is prime number. Not sufficient.
Together sufficient. Ans is 5.
Option c

Sent from my MotoG3 using GMAT Club Forum mobile app
Math Expert
Joined: 02 Sep 2009
Posts: 43892
Re: The digit m is greater than 1, what is m? [#permalink]

### Show Tags

16 Feb 2017, 05:12
duahsolo wrote:
The digit m is greater than 1, what is m?

(1) The units digit of m is the same as the units digit of m^2
(2) m has 2 factors

Merging topics. Please refer to the discussion above.
_________________
Re: The digit m is greater than 1, what is m?   [#permalink] 16 Feb 2017, 05:12
Display posts from previous: Sort by