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

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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 (( 98 Θ 33 ) Θ 17 ) - ( 98 Θ (33 Θ 17)) ?

A) -10
B) -2
C) 8
D) 13
E) 17
[Reveal] Spoiler: OA

Last edited by Bunuel on 08 Jun 2016, 09:16, edited 1 time in total.
Renamed the topic and edited the question.

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nycgirl212 wrote:
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 (( 98 Θ 33 ) Θ 17 ) - ( 98 Θ (33 Θ 17)) ?

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


(( 98 Θ 33 ) Θ 17 )
The remainder of 98 divided by 33 is 32;
The remainder of 32 divided by 17 is 15;

( 98 Θ (33 Θ 17))
The remainder of 33 divided by 17 is 16;
The remainder of 98 divided by 16 is 2.

15 - 2 = 13.

Answer: D.
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Re: For all positive integers m and v, the expression m Θ v represents the [#permalink]

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New post 08 Jun 2016, 09:27
nycgirl212 wrote:
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 (( 98 Θ 33 ) Θ 17 ) - ( 98 Θ (33 Θ 17)) ?

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


We have to be JUST careful on the bracket part..
(( 98 Θ 33 ) Θ 17 ) - ( 98 Θ (33 Θ 17))..........
98 divided by 33 will give 32 as remainder as 33*3 =99 and 33 divided by 17 will give 16 as remainder..
(32 Θ 17 ) - ( 98 Θ 16)......... 15 - 2 = 13..
D
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Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

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Re: For all positive integers m and v, the expression m Θ v represents the [#permalink]

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New post 31 Oct 2017, 15:40
nycgirl212 wrote:
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 (( 98 Θ 33 ) Θ 17 ) - ( 98 Θ (33 Θ 17)) ?

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


Let’s start with the first set of parentheses before the minus sign:

98/33 = 2 remainder 32

Next we have:

32 Θ 17

32/17 = 1 remainder 15

So, (( 98 Θ 33 ) Θ 17 ) = 15.

Let’s move to the second set of parentheses after the minus sign:

33/17 = 1 remainder 16

Next we have:

98 Θ 16 = 6 remainder 2

Thus, ( 98 Θ (33 Θ 17)) = 2.

So, (( 98 Θ 33 ) Θ 17 ) - ( 98 Θ (33 Θ 17)) = 15 - 2 = 13

Answer: D
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Re: For all positive integers m and v, the expression m Θ v represents the [#permalink]

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New post 01 Nov 2017, 01:41
( 98 Θ 33 ) Θ 17 ) =15
98 Θ (33 Θ 17) =2
so answer should be 13
Answer D
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Re: For all positive integers m and v, the expression m Θ v represents the   [#permalink] 01 Nov 2017, 01:41
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