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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