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

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Intern
Joined: 20 Sep 2004
Posts: 6
Followers: 0

Kudos [?]: 0 [0], given: 0

For all positive integers m and v, the expression m Î˜ v [#permalink]  06 Oct 2004, 07:44
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Question Stats:

100% (03:13) correct 0% (00:00) wrong based on 1 sessions
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
Joined: 16 Jun 2004
Posts: 893
Followers: 2

Kudos [?]: 19 [0], given: 0

I am getting D. 13.

98Θ33 = 32 (remainder)
32Θ17 = 15

33Θ17 = 16
98Θ16 = 2

15 - 2 = 13.
Manager
Joined: 21 Aug 2004
Posts: 136
Followers: 1

Kudos [?]: 15 [0], given: 0

Also got 13 as the answer. you must have missed something
Manager
Joined: 30 Apr 2004
Posts: 50
Location: NYC
Followers: 1

Kudos [?]: 0 [0], given: 0

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.

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