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Math Expert V
Joined: 02 Sep 2009
Posts: 56244
If m and n are positive integers and mn = 30, what is the value of m ?  [#permalink]

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Difficulty:   35% (medium)

Question Stats: 64% (01:05) correct 36% (00:56) wrong based on 50 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.

_________________
Current Student D
Joined: 12 Aug 2015
Posts: 2609
Schools: Boston U '20 (M)
GRE 1: Q169 V154 Re: If m and n are positive integers and mn = 30, what is the value of m ?  [#permalink]

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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.

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Retired Moderator D
Joined: 25 Feb 2013
Posts: 1197
Location: India
GPA: 3.82
Re: If m and n are positive integers and mn = 30, what is the value of m ?  [#permalink]

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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
Manager  G
Joined: 24 Nov 2016
Posts: 218
Location: United States
Re: If m and n are positive integers and mn = 30, what is the value of m ?  [#permalink]

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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. Re: If m and n are positive integers and mn = 30, what is the value of m ?   [#permalink] 16 Dec 2017, 10:07
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# If m and n are positive integers and mn = 30, what is the value of m ?  