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Consecutive integers

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Source: — Data Sufficiency |
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by GMATGuruNY » Wed Jul 18, 2012 3:05 am
niketdoshi123 wrote:The sum of n consecutive positive integers is 45. What is the value of n?

(1) n is even

(2) n < 9
For any set of evenly spaced integers:
Median = sum/number.

Let the statements guide you.

If n=2, then the median = 45/2 = 22.5
The two integers would be 22 and 23.

If n=4, then the median = 45/4 = 11.25.
Not possible: Since the median of two consecutive integers must be halfway between them, the median must be a multiple of 1/2.

If n=6, then the median = 45/6 = 7.5
The six integers would be 5,6,7,8,9,10.

Since it's possible that n=2 or that n=6, the two statements combined are INSUFFICIENT.

The correct answer is E.
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by imskpwr » Thu Jul 19, 2012 9:51 am
sorry.......
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by imskpwr » Fri Jul 20, 2012 7:45 am
GMATGuruNY wrote:
niketdoshi123 wrote:The sum of n consecutive positive integers is 45. What is the value of n?

(1) n is even

(2) n < 9
For any set of evenly spaced integers:
Median = sum/number.

Let the statements guide you.

If n=2, then the median = 45/2 = 22.5
The two integers would be 22 and 23.

If n=4, then the median = 45/4 = 11.25.
Not possible: Since the median of two consecutive integers must be halfway between them, the median must be a multiple of 1/2.

If n=6, then the median = 45/6 = 7.5
The six integers would be 5,6,7,8,9,10.

Since it's possible that n=2 or that n=6, the two statements combined are INSUFFICIENT.

The correct answer is E.
superb.
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