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# Integer n is greater than 20 and less than 60, is n odd? (1)

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Current Student
Joined: 11 May 2008
Posts: 552
Integer n is greater than 20 and less than 60, is n odd? (1) [#permalink]

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25 Jul 2008, 23:51
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Integer n is greater than 20 and less than 60, is n odd?
(1) The two digits of n both are prime numbers.
(2) The sum of two digits is prime 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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Senior Manager
Joined: 23 May 2006
Posts: 309
Re: DS odd or even [#permalink]

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25 Jul 2008, 23:59
arjtryarjtry wrote:
Integer n is greater than 20 and less than 60, is n odd?
(1) The two digits of n both are prime numbers.
(2) The sum of two digits is prime 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.

S1. Let the two digits be x and y; Hence x and y can be either 2,3, or 5
If n = 23, 25, 35, 53 then odd
if n = 32, 52 then even Therefore MAYBE case AD are out

S2. x + y = prime number
This means n = 23, 32, 25, or 52 MAYBE CASE again hence B is out

Combine: gives us 23, 25, as the possible odd no. Again MAYBE

IMO E.
Manager
Joined: 03 Jun 2008
Posts: 131
Schools: ISB, Tuck, Michigan (Ross), Darden, MBS
Re: DS odd or even [#permalink]

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26 Jul 2008, 00:07
E for me too..

well explained by x97agarwal.

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Re: DS odd or even   [#permalink] 26 Jul 2008, 00:07
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