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Old 11-07-2008, 06:15 AM
wvspidermonkey
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Default function & sequence 98**33

For all positive integers m and v, the expression m**v represents the remainder when m is divided by v. What is the value of
[(98**33)**17] - [98**33**17)]?

A. -10
B. -2
C. 8
D. 13
E. 17

I looked at this problems and thought m/v = # and m**v (remainder). I don't understand anything about this problem.

The answer stated "Note that 99 is a multiple of 33 and 34 is a multiple of 17. Thus 98*33=32 and 33*17=16, and the expression can be simplified as 32*17-98*16= 15-2= 13"

I understand that 99 is a multiple of 33 and 34 is a multiple of 17, but how is "98*33=32"? I have been working harder on functions and sequences.

Thank you
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Old 06-25-2009, 11:29 AM
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Posts: 1
Default

Fren, first of all you have missed a bracket in the question...
[(98**33)**17] - [98**(33**17)]
use the BODMAS rule...
So, simplify whats inside the small bracket first...
when 98 is divided by 33 the remainder is 32
so the equation becomes
so replace with 32
[(32)**17] - [98**(33**17)]
Similarly when 32 is divided by 17 the remainder is 15
Eventually we get
15 - 2
= 13
The answer is 13 (D)
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Old 06-22-2010, 05:14 AM
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Posts: 5
Default thanks

hey thanks for th einfo
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