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The set S contains n integers. Is the sum of all the elements of set S

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Bunuel
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The set S contains n integers. Is the sum of all the elements of set S [#permalink] New post  20 Dec 2015, 05:35
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The set S contains n integers. Is the sum of all the elements of set S odd?

(1) All the elements of S are prime numbers.
(2) n = 2
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Re: The set S contains n integers. Is the sum of all the elements of set S [#permalink] New post  21 Dec 2015, 05:07
(1) All the elements of S are prime numbers.
Sum may even or odd
If set S contains only 1 prime number - 2 , then the sum will be even .
Or if the set contains only 2 and some other prime number (all primes except 2 are odd ) , sum will be odd .
If the set contains even number of prime numbers (other than prime number 2 ) , sum will be even .

Not sufficient.

(2) n = 2
Even+Even = Even
Even+Odd = Odd
Odd+Odd = Even

Not sufficient.

Combining 1 and 2 , we get
if Set S contains 2 and 3 , sum = 5 - Odd
if set S contains 3 and 5 , sum = 8 - Even

Not sufficient.

Answer E
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Re: The set S contains n integers. Is the sum of all the elements of set S [#permalink] New post  21 Dec 2015, 07:18
(1) All the elements of S are prime numbers.
There can be onr or many number...Insuff
(2) n = 2
can be 2 even, 2 odd or one even and one odd...Insuff

From both the statements
2 prime numbers could be 2 odd or one even and one odd...Insuff

Ans:E
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Re: The set S contains n integers. Is the sum of all the elements of set S [#permalink] New post  22 Mar 2016, 17:46
Bunuel wrote:
The set S contains n integers. Is the sum of all the elements of set S odd?

(1) All the elements of S are prime numbers.
(2) n = 2


1. if there are 3 prime numbers then we can have: 2+3+5=even, or we can have 3+5+7 -> odd. since we don't know how many integers we have and whether 2 is included, we cannot answer the question.

2. 1+2 = even, 2+4 = 6 -odd, so B is out.

1+2
we can have 2+3 = 5 - odd or we can have 3+5=8 - even

C is out, and E is the answer
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Re: The set S contains n integers. Is the sum of all the elements of set S [#permalink] New post  23 Aug 2016, 03:21
The sum of two primes is odd if two is one of them
The sum of two primes is even if two is not one of them.

Smash that E
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Re: The set S contains n integers. Is the sum of all the elements of set S [#permalink] New post  16 Oct 2019, 22:48
The set S contains n integers. Is the sum of all the elements of set S odd?

(1) All the elements of S are prime numbers.
(2) n = 2

(1) Prime Nos are 2,3,5,7,11,13....etc ( Can be divided by self and 1 only)

We dont know how many elements are there. INSUFFICIENT

(2) If n=2 , Alone is INSUFFICIENT

(1) + (2) then Sum can be odd only if Prime No 2 is added with any of the other Prime No. INSUFFICIENT

Answer is E. none of them are sufficient
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Re: The set S contains n integers. Is the sum of all the elements of set S [#permalink]
16 Oct 2019, 22:48
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