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For all positive integers m and v, the expression m Θ v

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Intern
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Joined: 20 Sep 2004
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For all positive integers m and v, the expression m Θ v [#permalink] New post 06 Oct 2004, 07:44
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A
B
C
D
E

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For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v. What is the value of ((98Θ33)Θ17)-(98Θ(33Θ17)) ?

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

I get a 7 (15-8) and the answer is D, am I missing something?
Director
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 [#permalink] New post 06 Oct 2004, 08:13
I am getting D. 13.

98Θ33 = 32 (remainder)
32Θ17 = 15

33Θ17 = 16
98Θ16 = 2

15 - 2 = 13.
Manager
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 [#permalink] New post 06 Oct 2004, 10:15
Also got 13 as the answer. you must have missed something
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 [#permalink] New post 06 Oct 2004, 10:39
Quick way to do this on GMAT.

A remainder of 0 is the same as a remainder equal to the divisor.

98 Θ 33: 99Θ33 = 0 or 33 , 98Θ33 = 33-1=32
32 Θ 17: 34Θ17 = 0 or 17, 32Θ17 = 17-2 = 15

33Θ17: 34Θ17 = 0 or 17, 33Θ17 = 17-1 = 16
98Θ16: 96Θ16 = 0, 18Θ16 = 0+2 = 2.

Answer is 15-2 or 13.
  [#permalink] 06 Oct 2004, 10:39
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For all positive integers m and v, the expression m Θ v

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