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# Can the positive integer n be written as the sum of two

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15 May 2006, 01:20
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

. Can the positive integer n be written as the sum of two different positive prime numbers?
(1) n is greater than 3.
(2) n is odd.
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15 May 2006, 02:24
Go with E..

Eg : 7 = 5 + 2 ----- proves the point
15 = 11 + 4 ----- disproves the point
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15 May 2006, 02:29
(1) n is greater than 3.
if n = 7, we can write 7 = 3+5 (Sum of two positive prime integers) and if n=77, we can't write n as sum of two positive prime integers -- INSUFF
(2) n is odd.
Same example as above can be used to say that it's INSUFF.

Combining 1 & 2, Still we can't say that it's Sufficient to answer.
So I think Answer is E.
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15 May 2006, 04:03
amansingla4 wrote:
. Can the positive integer n be written as the sum of two different positive prime numbers?
(1) n is greater than 3.
(2) n is odd.

Stmt 1 : n>3, 7=5+2 OR 16=11+5. INSUFF
Stmt 2 : n is odd, 7=5+2; 13 = 11+2. INSUFF

Both together, n>3 and n is odd- 7 = 5+2 or 3+4. Hence INSUFF.
Ans (E)

What is the OA?
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15 May 2006, 04:11
(1) n>3
n = 5 = 3 + 2
But also, n = 8 = 4 + 4
hence not sufficient

(2) n is odd
n = 5 = 2 + 3
But also, n = 15 = 10 + 5
hence not sufficient

Combining both, not sufficient hence E
15 May 2006, 04:11
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