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# If m, n and p are nonzero digits and mn = p. What is p? (1) n < m (2)

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Manager
Joined: 02 Jun 2015
Posts: 191
Location: Ghana
If m, n and p are nonzero digits and mn = p. What is p? (1) n < m (2)  [#permalink]

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25 Oct 2016, 13:20
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Difficulty:

75% (hard)

Question Stats:

30% (01:04) correct 70% (01:05) wrong based on 55 sessions

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If m, n and p are nonzero digits and mn = p. What is p?

(1) n < m
(2) m = 5

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Intern
Joined: 18 Sep 2016
Posts: 49
If m, n and p are nonzero digits and mn = p. What is p? (1) n < m (2)  [#permalink]

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25 Oct 2016, 13:31
1
duahsolo wrote:
If m, n and p are nonzero digits and mn = p. What is p?

(1) n < m
(2) m = 5

we know that the product of two integers between 1 and 9 has to be an integer between 1 and 9

( 1) n < m Insufficient ===> there are several possibilities as 1*2=2 or 2*3=3 and p can be any integer between 1 and 9

(2) m = 5 SUFFICIENT =>>> the only integer which can multiplicate 5 and give an integer between 1 and 9 is 1
therefore, P is equal to 5

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VP
Joined: 05 Mar 2015
Posts: 1001
Re: If m, n and p are nonzero digits and mn = p. What is p? (1) n < m (2)  [#permalink]

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25 Oct 2016, 19:40
damybox wrote:
duahsolo wrote:
If m, n and p are nonzero digits and mn = p. What is p?

(1) n < m
(2) m = 5

we know that the product of two integers between 1 and 9 has to be an integer between 1 and 9

( 1) n < m Insufficient ===> there are several possibilities as 1*2=2 or 2*3=3 and p can be any integer between 1 and 9

(2) m = 5 SUFFICIENT =>>> the only integer which can multiplicate 5 and give an integer between 1 and 9 is 1
therefore, P is equal to 5

Hi duahsolo
Could u please confirm the OA

since it is nowhere written that m,n,p are +ve integers then n could be 1 or -1
thus p could be 5 or -5
Both statements are not suff...

Ans E
Manager
Joined: 02 Jun 2015
Posts: 191
Location: Ghana
If m, n and p are nonzero digits and mn = p. What is p? (1) n < m (2)  [#permalink]

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25 Oct 2016, 22:52
1
rohit8865 wrote:
damybox wrote:
duahsolo wrote:
If m, n and p are nonzero digits and mn = p. What is p?

(1) n < m
(2) m = 5

we know that the product of two integers between 1 and 9 has to be an integer between 1 and 9

( 1) n < m Insufficient ===> there are several possibilities as 1*2=2 or 2*3=3 and p can be any integer between 1 and 9

(2) m = 5 SUFFICIENT =>>> the only integer which can multiplicate 5 and give an integer between 1 and 9 is 1
therefore, P is equal to 5

Hi duahsolo
Could u please confirm the OA

since it is nowhere written that m,n,p are +ve integers then n could be 1 or -1
thus p could be 5 or -5
Both statements are not suff...

Ans E

Hi rohit8865,

I can confirm that the OA is B.

Notice that m, n & p must be nonzero DIGITS, which could only be 1, 2, 3, 4, 5, 6, 7, 8, or 9 (I'm not sure of negative digits).

Hope this helps.
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Joined: 09 Sep 2013
Posts: 9871
Re: If m, n and p are nonzero digits and mn = p. What is p? (1) n < m (2)  [#permalink]

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18 Dec 2017, 09:04
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If m, n and p are nonzero digits and mn = p. What is p? (1) n < m (2)   [#permalink] 18 Dec 2017, 09:04
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