# Thread: what is Sum of five odd number?

1. ## what is Sum of five odd number?

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)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?

2. ## 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.

3. ## Re: what is Sum of five odd number?

Originally Posted by MikeNoob
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.

4. ## Re: what is Sum of five odd number?

@Reckoner. Yeah never noticed that. Thanks for pointing it out.

5. ## Re: what is Sum of five odd number?

Originally Posted by MikeNoob
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.

6. ## Re: what is Sum of five odd number?

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7. ## Re: what is Sum of five odd number?

1+3+5+7+9 = 25

8. ## 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).

9. ## 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.

10. ## 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?

11. ## Re: what is Sum of five odd number?

Originally Posted by NasifMorshed
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.

12. ## Re: what is Sum of five odd number?

Originally Posted by MikeNoob
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?

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# The sum of five ood number is always

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