An integer greater than 1 that is not prime is called : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 22 Jan 2017, 06:38

### 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

# An integer greater than 1 that is not prime is called

Author Message
TAGS:

### Hide Tags

VP
Joined: 22 Nov 2007
Posts: 1092
Followers: 8

Kudos [?]: 488 [2] , given: 0

An integer greater than 1 that is not prime is called [#permalink]

### Show Tags

08 Jan 2008, 05:20
2
KUDOS
11
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

63% (01:44) correct 37% (00:41) wrong based on 443 sessions

### HideShow timer Statistics

An integer greater than 1 that is not prime is called composite. If the two-digit integer n is greater than 20, is n composite?

(1) The tens digit of n is a factor of the units digit of n.
(2) The tens digit of n is 2

OPEN DISCUSSION OF THIS QUESTION IS HERE: an-integer-grater-than-1-that-is-not-prime-is-called-88255.html
[Reveal] Spoiler: OA
Director
Joined: 12 Jul 2007
Posts: 862
Followers: 15

Kudos [?]: 286 [5] , given: 0

### Show Tags

08 Jan 2008, 06:08
5
KUDOS
4
This post was
BOOKMARKED
(1) The tens digit of n is a factor of the units digit of n.

If this is true then n is NOT a prime number. This is true because if the tens digit is a factor of the units digit, the whole number will be divisible by that number because the tens digit is obviously a factor of itself! Try it out:

2X = 22, 24, 26, 28
3X = 33, 36, 39
4X = 44, 48
5X = 55
6X = 66
7X = 77
8X = 88
9X = 99

For each of these numbers the tens digit evenly goes into itself and is then a factor of the units. Impossible to have a prime number under these rules. SUFFICIENT

2. Statement 2 tells us nothing on its own. n could be prime (23) or composite (24)

Director
Joined: 09 Aug 2006
Posts: 763
Followers: 1

Kudos [?]: 192 [1] , given: 0

### Show Tags

09 Jan 2008, 01:21
1
KUDOS
1
This post was
BOOKMARKED
marcodonzelli wrote:
An integer greater than 1 that is not prime is called composite. If the two-digit integer n is greater than 20, is n composite?

(1) The tens digit of n is a factor of the units digit of n.
(2) The tens digit of n is 2

A.

Stat 1:
If the units digit is not 1 (which it isn't since n>20) and the units digit is divisible by the ten's digit, then n is not prime. Suff.

Stat 2:
22 not prime
29 prime.
Insuff.
Manager
Joined: 01 Sep 2007
Posts: 100
Location: Astana
Followers: 1

Kudos [?]: 26 [0], given: 0

### Show Tags

08 Jan 2008, 06:17
i believe it is E

St 1. Not sufficient. Consider 139
St 2. Not sufficient.
Director
Joined: 12 Jul 2007
Posts: 862
Followers: 15

Kudos [?]: 286 [0], given: 0

### Show Tags

08 Jan 2008, 06:23
Quote:
An integer greater than 1 that is not prime is called composite. If the two-digit integer n is greater than 20, is n composite?
VP
Joined: 22 Nov 2007
Posts: 1092
Followers: 8

Kudos [?]: 488 [0], given: 0

### Show Tags

08 Jan 2008, 09:49
eschn3am wrote:
Quote:
An integer greater than 1 that is not prime is called composite. If the two-digit integer n is greater than 20, is n composite?

eschn3am is right....he's always quite good!
CEO
Joined: 29 Mar 2007
Posts: 2583
Followers: 19

Kudos [?]: 421 [0], given: 0

### Show Tags

08 Jan 2008, 16:28
Since its only a two digit integer. It must be a composite number.

A.
Director
Joined: 29 Nov 2012
Posts: 898
Followers: 14

Kudos [?]: 1046 [0], given: 543

### Show Tags

27 Feb 2013, 03:43
1
This post was
BOOKMARKED
eschn3am wrote:
(1) The tens digit of n is a factor of the units digit of n.

If this is true then n is NOT a prime number. This is true because if the tens digit is a factor of the units digit, the whole number will be divisible by that number because the tens digit is obviously a factor of itself! Try it out:

2X = 22, 24, 26, 28
3X = 33, 36, 39
4X = 44, 48
5X = 55
6X = 66
7X = 77
8X = 88
9X = 99

For each of these numbers the tens digit evenly goes into itself and is then a factor of the units. Impossible to have a prime number under these rules. SUFFICIENT

2. Statement 2 tells us nothing on its own. n could be prime (23) or composite (24)

The ones in red won't satisfy the statement but the rest of the examples are spot on..
_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios http://gmatclub.com/forum/gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Math Expert
Joined: 02 Sep 2009
Posts: 36597
Followers: 7093

Kudos [?]: 93432 [0], given: 10563

Re: An integer greater than 1 that is not prime is called [#permalink]

### Show Tags

27 Feb 2013, 05:37
Expert's post
1
This post was
BOOKMARKED
OPEN DISCUSSION OF THIS QUESTION IS HERE: an-integer-grater-than-1-that-is-not-prime-is-called-88255.html
_________________
Intern
Joined: 02 Apr 2013
Posts: 2
Followers: 0

Kudos [?]: 0 [0], given: 3

### Show Tags

02 Apr 2013, 08:09
fozzzy wrote:
eschn3am wrote:
(1) The tens digit of n is a factor of the units digit of n.

If this is true then n is NOT a prime number. This is true because if the tens digit is a factor of the units digit, the whole number will be divisible by that number because the tens digit is obviously a factor of itself! Try it out:

2X = 22, 24, 26, 28
3X = 33, 36, 39
4X = 44, 48
5X = 55
6X = 66
7X = 77
8X = 88
9X = 99

For each of these numbers the tens digit evenly goes into itself and is then a factor of the units. Impossible to have a prime number under these rules. SUFFICIENT

2. Statement 2 tells us nothing on its own. n could be prime (23) or composite (24)

The ones in red won't satisfy the statement but the rest of the examples are spot on..

The ones in red do satisfy the statement. eschn3am is correct. EX: 2 is a factor of 6 and 8, 3 is a factor of 9
Re: composite number   [#permalink] 02 Apr 2013, 08:09
Similar topics Replies Last post
Similar
Topics:
1 Is y an integer greater than 1? 4 27 Dec 2016, 07:52
1 Is integer r prime? (1) r + 1 is prime (2) r is greater than 10 5 10 Dec 2016, 05:36
1 If p is an integer greater than 1, is p a prime number? 1 21 Dec 2015, 15:00
23 The Prime Sum of an integer X greater than 1 is the sum of all prime 13 09 Apr 2015, 03:52
18 If x is a positive integer greater than 1, is x a prime numb 17 14 Feb 2014, 01:13
Display posts from previous: Sort by