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# If the product of digits of a 2-digit integer n is 20, n=?

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Joined: 11 May 2008
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If the product of digits of a 2-digit integer n is 20, n=? [#permalink]

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25 Jul 2008, 19:05
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If the product of digits of a 2-digit integer n is 20, n=?

(1) n is greater than 50.
(2) n is an even number.

A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient
Director
Joined: 10 Sep 2007
Posts: 923
Re: products DS [#permalink]

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25 Jul 2008, 19:51
Question tells us n=45, 54

1) n>50 so n=54
2) n even so n=54

Answer D.
Senior Manager
Joined: 23 May 2006
Posts: 311
Re: products DS [#permalink]

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25 Jul 2008, 19:52
The question i stelling us that that n can be 45 or 54

S1. n > 50 hence 54 (AD)
S2. n is even ------------ hence 54

Ans D
SVP
Joined: 29 Aug 2007
Posts: 2457
Re: products DS [#permalink]

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25 Jul 2008, 20:03
arjtryarjtry wrote:
If the product of digits of a 2-digit integer n is 20, n=?

(1) n is greater than 50.
(2) n is an even number.

n = ab
ab = 20
either a or b = wither 4 or 5

1: n = 54
2: n = 54
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VP
Joined: 17 Jun 2008
Posts: 1328
Re: products DS [#permalink]

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25 Jul 2008, 20:12
arjtryarjtry wrote:
If the product of digits of a 2-digit integer n is 20, n=?

(1) n is greater than 50.
(2) n is an even number.

A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient

Q: n=?
Data : say 10x+y =n and given that x*y=20
now 0<x<10 ,0<y<10
we know 20 = 2*10=4*5
hence 2*10 is rejected since x,y cant be 10
hence x,y can take values 4 ,5

n=45 or n=54

consider (1) :
n>50 => n=54 sufficient eliminate E and C
consider (2) :
n=even no. => n=54 sufficient eliminate A,B

Answer is D
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Re: products DS   [#permalink] 25 Jul 2008, 20:12
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# If the product of digits of a 2-digit integer n is 20, n=?

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