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If x is a positive integer...

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by BlindVision » Fri Jun 19, 2009 10:20 am
If x is a positive integer, is x<16 ?

1) x is less than the average (arithmetic mean) of the first ten positive integers.

2) x is the square of an integer.


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by SanjeevK » Fri Jun 19, 2009 10:47 am
IMO A
A: average of first ten positive integers is 5.
1: If x < 5, it means x is definitely less than 16. Sufficient
2: x can be 16, 25, 36 etc. Not sufficient
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by iamcste » Fri Jun 19, 2009 11:17 am
SanjeevK wrote:A: average of first ten positive integers is 5.
average of first ten positive integers is 5.5 :D
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by BlindVision » Fri Jun 19, 2009 11:29 am
Good catch. If a set of numbers are evenly spaced then the median=average.
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by SanjeevK » Sat Jun 20, 2009 6:27 pm
iamcste wrote:
SanjeevK wrote:A: average of first ten positive integers is 5.
average of first ten positive integers is 5.5 :D
I am such a dumb. My Bad. Guess I have to be careful.
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by iamcste » Sun Jun 21, 2009 8:16 am
SanjeevK wrote:
iamcste wrote:
SanjeevK wrote:A: average of first ten positive integers is 5.
average of first ten positive integers is 5.5 :D
I am such a dumb. My Bad. Guess I have to be careful.
it happens... :D
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by Domnu » Thu Jun 25, 2009 3:55 pm
A:

The average of the first 10 numbers is 5.5...

(1 + 10) + (2 + 9) + (3 + 8) + (4 + 7) + (5 + 6) = 11 + 11 + 11 + 11 + 11 = 55,

so 55/10 = 5.5. If x < 5.5, x < 16 for sure.

Just because x is a perfect square, we can't say that x < 16. So we are done.
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