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

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

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New post 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

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Director
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Re: products DS [#permalink]

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New post 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.

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Re: products DS [#permalink]

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New post 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

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Re: products DS [#permalink]

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New post 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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Re: products DS [#permalink]

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New post 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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