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Re: positive integer n? [#permalink]
17 Jun 2008, 22:37

fresinha12 wrote:

pmenon wrote:

I think its E.

You can write 5 as sum of 3 and 2, but you cant do it with 7

why cant be we write 7=5+2?

7 is also equal or a sum of 1 and 6 (1+6), & 3 and 4 (3+4).

Quote:

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

is it a correct question?

the question is not asking for n to be a prime integer rather it is asking whether "can n be a sum of two +ve prime integers"? the question for me is ambigious cuz any odd integer > 3 can be written as sum of two prime or non prime integers. since its a yes/no question, the answer is yes/no, both.

lets say n is 5, which is equal to 2+3. so yes. n=5 is also equal to 1+4, so no... lets say n is 7, which is equal to 2+5 or 3+4. again yes or no.

so there is no integer that is a sum of only two +ve prime integers. _________________

Re: positive integer n? [#permalink]
18 Jun 2008, 00:25

GMAT TIGER wrote:

is it a correct question?

the question is not asking for n to be a prime integer rather it is asking whether "can n be a sum of two +ve prime integers"? the question for me is ambigious cuz any odd integer > 3 can be written as sum of two prime or non prime integers. since its a yes/no question, the answer is yes/no, both.

lets say n is 5, which is equal to 2+3. so yes. n=5 is also equal to 1+4, so no... lets say n is 7, which is equal to 2+5 or 3+4. again yes or no.

so there is no integer that is a sum of only two +ve prime integers.

It doesn't say "only", it says "can be written".

And it it the case for 5 : "it can be written as the sum of two different positive prime numbers" (5=2+3)

It is the case for 7 too : "it can be written as the sum of two different positive prime numbers" (7=5+2)

But it is not the case for 27 as buffdady said (no : if we write 27=25+2 it doesn't work since 25 is not a prime number)

Answer is (E): It works for 7 but not for 27: (1) and (2) are insufficient.

Re: positive integer n? [#permalink]
18 Jun 2008, 05:27

I disagree and actually agree with Tiger..the wording is weird..Look, I can write 25 as a sum of 1 prime integer..which is 5..and i can add 5*5+2=27..here i have 2 different prime integers..5 and 2..

Oski wrote:

GMAT TIGER wrote:

is it a correct question?

the question is not asking for n to be a prime integer rather it is asking whether "can n be a sum of two +ve prime integers"? the question for me is ambigious cuz any odd integer > 3 can be written as sum of two prime or non prime integers. since its a yes/no question, the answer is yes/no, both.

lets say n is 5, which is equal to 2+3. so yes. n=5 is also equal to 1+4, so no... lets say n is 7, which is equal to 2+5 or 3+4. again yes or no.

so there is no integer that is a sum of only two +ve prime integers.

It doesn't say "only", it says "can be written".

And it it the case for 5 : "it can be written as the sum of two different positive prime numbers" (5=2+3)

It is the case for 7 too : "it can be written as the sum of two different positive prime numbers" (7=5+2)

But it is not the case for 27 as buffdady said (no : if we write 27=25+2 it doesn't work since 25 is not a prime number)

Answer is (E): It works for 7 but not for 27: (1) and (2) are insufficient.

Re: positive integer n? [#permalink]
18 Jun 2008, 05:35

fresinha12 wrote:

I disagree and actually agree with Tiger..the wording is weird..Look, I can write 25 as a sum of 1 prime integer..which is 5..and i can add 5*5+2=27..here i have 2 different prime integers..5 and 2..

Nop.

Wording is okay : "Can the positive integer n be written as the sum of two different positive prime numbers?"

"Sum of 2 numbers" means that you can sum... two numbers. In your case it's 5*5 and 2.

Re: positive integer n? [#permalink]
18 Jun 2008, 21:53

fresinha12 wrote:

why cant we have we 5*5+2=27.. isnt 27 really the sum of 2 different prime integers..

where does it say that the number of integers has to be 2??

I think C makes sense..

hi, n be written as the sum of two different positive prime numbers means n=p1+p2 where p1,p2 are prime

i have seen this question in other forums

check 11

10+1 both are not prime 9+2 both are not prime 8+3 both are not prime 7+4 both are not prime 6+5 both are not prime 5+6 both are not prime it again repeats

but when u take the number as 7

5+2 both are prime

so two different results

its E

gmatclubot

Re: positive integer n?
[#permalink]
18 Jun 2008, 21:53

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