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For all positive integers m and n, the expression m △ n represents the
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Updated on: 23 Dec 2016, 20:33

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For all positive integers m and n, the expression m △ n represents the remainder when m+n is divided by m-n. What is the value of ((19△9)△2) - (19△(9△2)) ?

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22 Dec 2016, 01:58

MathRevolution wrote:

For all positive integers m and n, the expression m △ n represents the remainder when m+n is divided by m-n. What is the value of ((19△9)△2) - (19△(9△2)) ?

(A) -8

(B) -6

(C) -4

(D) 4

(E) 6

I solved it as: (19△9)△2) gives 4 (19△(9△2) gives 8 So, 4-8 should be -4. Ans C.

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23 Dec 2016, 01:28

Since m△n represents the remainder of m+n divided by m-n, 19△9 represents the remainder of (19+9) divided by (19-9), which is the remainder of 28 divided by 10. Then, from 28=10(2)+8, the remainder becomes 8, and thus 19△9=8. 8△2 represents the remainder of (8+2) divided by (8-2), which is the remainder of 10 divided by 6. Then, from 10=6(1)+4, the remainder becomes 4, and thus 8△2=4.
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Re: For all positive integers m and n, the expression m △ n represents the
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10 Jan 2017, 22:03

shashank1tripathi wrote:

MathRevolution wrote:

For all positive integers m and n, the expression m △ n represents the remainder when m+n is divided by m-n. What is the value of ((19△9)△2) - (19△(9△2)) ?

(A) -8

(B) -6

(C) -4

(D) 4

(E) 6

I solved it as: (19△9)△2) gives 4 (19△(9△2) gives 8 So, 4-8 should be -4. Ans C.

Re: For all positive integers m and n, the expression m △ n represents the
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20 Feb 2017, 18:00

I believe the answer is C- For all positive integers m and n, the expression m △ n represents the remainder when m+n is divided by m-n. What is the value of ((19△9)△2) - (19△(9△2)) ?- well, you have plug in 19 for M and 9 for N. For example

For all positive integers m and n, the expression m △ n represents the
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03 May 2018, 07:09

Top Contributor

MathRevolution wrote:

For all positive integers m and n, the expression m △ n represents the remainder when m+n is divided by m-n. What is the value of ((19△9)△2) - (19△(9△2)) ?

(A) -8

(B) -6

(C) -4

(D) 4

(E) 6

19∆9 = the remainder when (19+9) is divided by (19-9) = the remainder when 28 is divided by 10 = 8

So, (19∆9)∆2 = 8∆2 = the remainder when (8+2) is divided by (8-2) = the remainder when 10 is divided by 6 = 4 ------------------------------------------------------------- 9∆2 = the remainder when (9+2) is divided by (9-2) = the remainder when 11 is divided by 7 = 4

So, 19∆(9∆2) = 19∆4 = the remainder when (19+4) is divided by (19-4) = the remainder when 23 is divided by 15 = 8 -------------------------------------------------------------

We get: ((19∆9)∆2) - (19∆(9∆2)) = 4 - 8 = -4

Answer: C

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For all positive integers m and n, the expression m △ n represents the &nbs
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03 May 2018, 07:09