It is currently 17 Jan 2018, 12:25

### 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

# If m and n are positive integers and mn = 30, what is the value of m ?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 43312

Kudos [?]: 139308 [0], given: 12783

If m and n are positive integers and mn = 30, what is the value of m ? [#permalink]

### Show Tags

16 Dec 2017, 00:34
00:00

Difficulty:

45% (medium)

Question Stats:

63% (01:15) correct 37% (00:41) wrong based on 33 sessions

### HideShow timer Statistics

If m and n are positive integers and mn = 30, what is the value of m ?

(1) n is an odd prime.
(2) m and n are consecutive integers.
[Reveal] Spoiler: OA

_________________

Kudos [?]: 139308 [0], given: 12783

Retired Moderator
Joined: 12 Aug 2015
Posts: 2331

Kudos [?]: 994 [0], given: 678

GRE 1: 323 Q169 V154
Re: If m and n are positive integers and mn = 30, what is the value of m ? [#permalink]

### Show Tags

16 Dec 2017, 00:46
Lets see.
The best course of action is off course a hit and trail.
I would not sit around and make all the pairs of product = 30

Statement 1 ->

(3,10)
(5,6)

Not sufficient
Statement 2 => Hmm
(5,6)
(6,5)

Not sufficient

Combining them up ->

n=5 and m=6

Hence sufficient.

SMASH THAT C.

_________________

Give me a hell yeah ...!!!!!

Kudos [?]: 994 [0], given: 678

PS Forum Moderator
Joined: 25 Feb 2013
Posts: 810

Kudos [?]: 379 [0], given: 42

Location: India
GPA: 3.82
Re: If m and n are positive integers and mn = 30, what is the value of m ? [#permalink]

### Show Tags

16 Dec 2017, 00:48
Bunuel wrote:
If m and n are positive integers and mn = 30, what is the value of m ?

(1) n is an odd prime.
(2) m and n are consecutive integers.

$$mn=30 =>m=\frac{30}{n}$$. $$30$$ is divisible by $$n$$ as $$m$$ is a positive integer

Statement 1: $$n$$ could be $$3$$ or $$5$$. so no unique value for $$m$$. Insufficient

Statement 2: if $$n=6$$, $$m=5$$ & if $$n=5$$, $$m=6$$. No unique value. Insufficient

Combining 1 & 2, we know $$n$$ is odd prime. So $$n=5$$ & $$m=6$$. Sufficient

Option C

Kudos [?]: 379 [0], given: 42

Manager
Joined: 24 Nov 2016
Posts: 151

Kudos [?]: 30 [0], given: 40

Re: If m and n are positive integers and mn = 30, what is the value of m ? [#permalink]

### Show Tags

16 Dec 2017, 09:07
Bunuel wrote:
If m and n are positive integers and mn = 30, what is the value of m ?

(1) n is an odd prime.
(2) m and n are consecutive integers.

So, possible solutions for mn (positive integers) = 30 is {30-1,15-2,10-3,6-5}.

(1) n is an odd prime. Then n = 3 and m = 10 or n = 5 and m = 5. Insufficient.

(2) m and n are consecutive integers. Then, m = 6 and n = 5 or m = 5 and n = 6. Insufficient.

(3) Combining both, we know that they are consecutive and that n is an odd prime, so n = 5 and m = 6. Sufficient.

Kudos [?]: 30 [0], given: 40

Re: If m and n are positive integers and mn = 30, what is the value of m ?   [#permalink] 16 Dec 2017, 09:07
Display posts from previous: Sort by