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If m, n and p are distinct digits and their product is another distinc

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Bunuel
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If m, n and p are distinct digits and their product is another distinc [#permalink] New post   08 Jan 2017, 08:06
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47% (01:26) correct 53% (01:48) wrong based on 76 sessions
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If m, n and p are distinct digits and their product is another distinct digit, what is value of the product mnp?

(1) mn = 8
(2) m is twice n and n is twice p
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D
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rohit8865
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If m, n and p are distinct digits and their product is another distinc [#permalink] New post   Updated on: 08 Jan 2017, 12:10
Bunuel wrote:
If m, n and p are distinct digits and their product is another distinct digit, what is value of the product mnp?

(1) mn = 8
(2) m is twice n and n is twice p


(1) we dont know value p
insuff..

(2) m=2n && n=2p
thus m= 4p
mnp= m*m/2*m/4==M^3/8
m could be 2 or -2 again not suff..

Combining from (1) mn=8 and from (2) m=2n
thus m*m/2=8 or m^2=16
thus m=4 , -4
so mnp = m^3/8 = 4*4*4/8 = 8(when m=4)
&& m^3/8 = -4*-4*-4/8 = -8(when m=-4)
thus mnp= 8 , -8

NOt suff

Ans E

Originally posted by rohit8865 on 08 Jan 2017, 10:26.
Last edited by rohit8865 on 08 Jan 2017, 12:10, edited 1 time in total.
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If m, n and p are distinct digits and their product is another distinc [#permalink] New post   Updated on: 08 Jan 2017, 12:57
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Bunuel wrote:
If m, n and p are distinct digits and their product is another distinct digit, what is value of the product mnp?

(1) mn = 8
(2) m is twice n and n is twice p



p≠0. Otherwise the product will also be 0.

(1) mn=8

1*8*p and 8*1*p give us p=0 and we need to discard this option.

2*4*p and 4*2*p give us p = 1. Sufficient.

(2) \(m*n*p = 4p*2p*p = 8*p^3\)

Only awailable option is p=1. Sufficient.

Answer D

Originally posted by vitaliyGMAT on 08 Jan 2017, 10:36.
Last edited by vitaliyGMAT on 08 Jan 2017, 12:57, edited 1 time in total.
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Re: If m, n and p are distinct digits and their product is another distinc [#permalink] New post   08 Jan 2017, 12:12
vitaliyGMAT wrote:
Bunuel wrote:
If m, n and p are distinct digits and their product is another distinct digit, what is value of the product mnp?

(1) mn = 8
(2) m is twice n and n is twice p



p≠0. In this case product will also be 0.

(1) mn=8

1*8*p and 8*1*p give us p=0 and we need to discard this option.

2*4*p and 4*2*p give us p = 1. Sufficient.

(2) \(m*n*p = 4p*2p*p = 8*p^3\)

Only awailable option is p=1. Sufficient.

Answer D



vitaliyGMAT

Please consider -ve digits also ,p = 1 or -1..

Ans will be E
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Re: If m, n and p are distinct digits and their product is another distinc [#permalink] New post   08 Jan 2017, 12:23
rohit8865 wrote:
vitaliyGMAT wrote:
Bunuel wrote:
If m, n and p are distinct digits and their product is another distinct digit, what is value of the product mnp?

(1) mn = 8
(2) m is twice n and n is twice p



p≠0. In this case product will also be 0.

(1) mn=8

1*8*p and 8*1*p give us p=0 and we need to discard this option.

2*4*p and 4*2*p give us p = 1. Sufficient.

(2) \(m*n*p = 4p*2p*p = 8*p^3\)

Only awailable option is p=1. Sufficient.

Answer D



vitaliyGMAT

Please consider -ve digits also ,p = 1 or -1..

Ans will be E


Hi

As I understand, but may be I'm wrong, when we are talking about digits we mean them to be positive (like in combinatorics), otherwise we would have been talking about one digit numbers, which could be negative.
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Re: If m, n and p are distinct digits and their product is another distinc [#permalink]
08 Jan 2017, 12:23
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Bunuel
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