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

Question

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

Bunuel · Accepted Answer

(( 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.

chetan2u · Answer

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

ScottTargetTestPrep · Answer

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

nkmungila · Answer

( 98 Θ 33 ) Θ 17 ) =15
 98 Θ (33 Θ 17) =2
so answer should be 13
Answer D

KanishkM · Answer

Hey Gilb17 We are not missing out on anything. The answer is indeed 13 and not -2. It can be a typo

.

hiranmay · Answer

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-->  correct 
E) 17

Details :
(( 98 Θ 33 ) Θ 17 ) - ( 98 Θ (33 Θ 17)) 
= (( 98 % 33 ) % 17 ) - ( 98 % (33 % 17)) 
= 32%17 - 98%16; as 98 = 33*2 +32 and 33=17+16
= 15 - 2; as 32=17+15 and 98 = 16*6 +2
=13

BrushMyQuant · Answer

Given that m Θ v = the remainder when m is divided by v and we need to find the value of (( 98 Θ 33 ) Θ 17 ) - ( 98 Θ (33 Θ 17)))

Lets start by finding the value of 98 Θ 33

Now, according to the definition of the function 98 Θ 33 = the remainder when 98 is divided by 33 = 32 (as 98 = 33*2 + 32)
(  Watch this video  to learn about the  Basics of Remainders )

=> (( 98 Θ 33 ) Θ 17 ) - ( 98 Θ (33 Θ 17))) = ((32 Θ 17 ) - ( 98 Θ (33 Θ 17)))
Similarly, 32 Θ 17 = the remainder when 32 is divided by 17 = 15
33 Θ 17 = the remainder when 33 is divided by 17 = 16

=> ((32 Θ 17 ) - ( 98 Θ (33 Θ 17))) = ( 15 - ( 98 Θ 16)) = 15 - 2 ( as 98 when divided by 16 gives 2 remainder) = 13

So,  Answer will be D 
Hope it helps!

Watch the following video to learn the Basics of Functions and Custom Characters

https://www.youtube.com/watch?v=b7JoMX0gk8M

totaltestprepNick · Answer

D https://www.youtube.com/watch?v=pkIOYqZuO0Y Nick Slavkovich, GMAT/GRE tutor with 20+ years of experience tutoring@totaltestprep.net

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

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