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February 19th, 2011, 09:09 AM   #1
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2 Problems

[1] Median of 10 numbers is shifted from 6 to 8 when 15 is added. What will the median be if 15 is replaced with 7?

[2]
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February 19th, 2011, 02:12 PM   #2
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Re: 2 Problems

Is (2) not simply asking you to calculate the function value at x = 4 and at x = 2 and find the difference??
You could use synthetic division if you prefer...
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February 19th, 2011, 05:01 PM   #3
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Re: 2 Problems

Quote:
Originally Posted by The Chaz
Is (2) not simply asking you to calculate the function value at x = 4 and at x = 2 and find the difference??
You could use synthetic division if you prefer...
You are right, it turns out that for #2, largest prime factor is 19. p[4]-p[2] = 38 = 19*2.
I think I was frustrated with these Olympiad problems that I didn't even care to try some of them.
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February 19th, 2011, 05:07 PM   #4
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Re: 2 Problems

For (1), the only possible options are 6, 7, or 8
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