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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