# what is Sum of five odd number?

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• Jun 21st 2012, 05:51 PM
MikeNoob
what is Sum of five odd number?
The question is:
Quote:

What is sum of five odd numbers
a)Even
b)divisible by three
c)divisible by 5
d)a prime number
e)non of the above
The answer is none of above.
But i think the answer should be divisible by 5 because:
sum of x,x+2,x+4,x+6,x+8 is 5x + 20 which is always divisible by 5. Could anyone tell me what i am doing wrong here?
• Jun 21st 2012, 05:59 PM
saravananbs
Re: what is Sum of five odd number?
odd number=o

if o+o=even
o+o+o=odd
continuing in this way

the conclusion we get is
sum of odd numbers, even number of times is even

and

sum of odd numbers, odd numbers of times is odd

so that is the only information given in the question.

can u proceed further now.
• Jun 21st 2012, 06:19 PM
Reckoner
Re: what is Sum of five odd number?
Quote:

But i think the answer should be divisible by 5 because:
sum of x,x+2,x+4,x+6,x+8 is 5x + 20 which is always divisible by 5. Could anyone tell me what i am doing wrong here?

It never said that the odd numbers were consecutive. For example: 1 + 3 + 5 + 7 + 11 = 27 which is not divisible by 5.
• Jun 21st 2012, 06:21 PM
MikeNoob
Re: what is Sum of five odd number?
@Reckoner. Yeah never noticed that. Thanks for pointing it out.
• Jun 21st 2012, 11:35 PM
richard1234
Re: what is Sum of five odd number?
Quote:

The question is:

The answer is none of above.
But i think the answer should be divisible by 5 because:
sum of x,x+2,x+4,x+6,x+8 is 5x + 20 which is always divisible by 5. Could anyone tell me what i am doing wrong here?

Who said they have to be consecutive?

a) is obviously false, b), c) and d) are not necessarily true. So it's e) none of the above.
• Jun 25th 2012, 04:57 AM
mobileappsgallery
Re: what is Sum of five odd number?
I Think It is not working as you describe your answer.
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• Jun 26th 2012, 12:58 AM
abclas3
Re: what is Sum of five odd number?
1+3+5+7+9 = 25
• Jul 24th 2012, 12:33 AM
kalwin
Re: what is Sum of five odd number?
Let the 1st number be x, then sum of 5 odd number would be:x, x+1,x+3,x+5,x+7,x+9= 5x+25
then x=25/5= 5.
Therefore, answer would be option (c).
• Jun 9th 2018, 12:29 PM
NasifMorshed
Re: what is Sum of five odd number?
If you consider "x" as an odd number then if you add any even to x, the number will be odd.
Summing x,x+4,x+12,x+18,x+24
We get 5x+58. Which is not divisible by 3 or 5 and is not even or prime number. So none of the above is the answer.
• Jun 9th 2018, 12:35 PM
DenisB
Re: what is Sum of five odd number?
HEY, this thread is 6 years old! Why are you activating it?
Getting ready to do some spamming?
• Jun 10th 2018, 03:20 PM
greg1313
Re: what is Sum of five odd number?
Quote:

If you consider "x" as an odd number then if you add any even to x, the number will be odd.
Summing x,x+4,x+12,x+18,x+24
We get 5x+58. Which is not divisible by 3 or 5 and is not even or prime number. So none of the above is the answer.

You should have never resurrected this thread from 2012. Anyway,
part of your reasoning is wrong. For instancr, if x = 1, 5x + 58 = 63, which
is divisible by 3. For instance, If x = 3, 5x + 58 = 73, which is prime. Thus,
it *can* happen in those categories.
• Jun 10th 2018, 07:15 PM
Plato
Re: what is Sum of five odd number?
Quote:

The question is:
What is sum of five odd numbers
a)Even
b)divisible by three
c)divisible by 5
d)a prime number
e)none of the above

Consider \$\Large{3+7+15+19+33=77}\$
Now is it clear that (e) is the answer?