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Is the sum of five consecutive integers odd? (1) The first number is o

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Sajjad1994
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Is the sum of five consecutive integers odd? (1) The first number is o [#permalink] New post   19 Dec 2018, 12:31
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Is the sum of five consecutive integers odd?

(1) The first number is odd.

(2) The average (arithmetic mean) of the five numbers is odd.
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D
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D
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Re: Is the sum of five consecutive integers odd? (1) The first number is o [#permalink] New post   19 Dec 2018, 12:42
SajjadAhmad wrote:
Is the sum of five consecutive integers odd?

(1) The first number is odd.

(2) The average (arithmetic mean) of the five numbers is odd.



Note: we have 5 consecutive integers. we have to find out whether their sum is 5 or not.

Statement 1:

First integer is odd.

3 +4 +5+6+7 = 25

1 + 2+3+4+5 = 15.

odd all time.

Statement 2:

Average is given. we know we have 5 integers. So, 3rd one is given. if we multiply by 5 , we will get an odd integer.

Sufficient.

D is the correct answer.
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Re: Is the sum of five consecutive integers odd? (1) The first number is o [#permalink] New post   19 Dec 2018, 15:01
1. first no. is odd
2n-1+ 2n + 2n+1 + 2n+2 + 2n+3 = even + odd = odd

2. The average (arithmetic mean) of the five numbers is odd.
[(n-2)+(n-1)+(n)+(n+1)+(n+2)]/5 = 5n/5 =n= odd
therefore, sum has to be odd
Both are sufficient, D
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Re: Is the sum of five consecutive integers odd? (1) The first number is o [#permalink] New post   30 Jan 2021, 07:13
IMO D
Is the sum of five consecutive integers odd?

(1) The first number is odd.

(2) The average (arithmetic mean) of the five numbers is odd

iF FIRST IS ODD
The sum is always odd.
o+ e+o+e+o = o
Sufficient.

x+x+1+x+2+x+3+x+4 = 5*odd
5x+10= 5*odd
5*(x+2)=5*odd
for x+2 to be odd,
x has to be odd
Sufficient.
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Re: Is the sum of five consecutive integers odd? (1) The first number is o [#permalink] New post   06 Feb 2021, 13:41
A) 1+2+3+4+5=15 is odd
B) 3+4+5+6+7=25 avg = Sum(n)/N 25/5=5 odd
Answer D
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Re: Is the sum of five consecutive integers odd? (1) The first number is o [#permalink]
06 Feb 2021, 13:41
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