1992 AMC 8 Problem 6

Attempt Problem 6 of the 1992 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1992 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

6.

A triangular expression with top entry aa, lower-left entry bb, and lower-right entry cc means a+b−ca+b-c, as shown below. What is the indicated sum?
−2-2
−1-1
00
11
22
Answer: D
Concepts:custom operation
Small hint:
Apply the rule to each triple separately: top plus lower-left minus lower-right
Big hint:
Compute (1+3−4)(1 + 3 - 4) and (2+5−6),(2 + 5 - 6), then add the two results
Solution:
The first triple gives 1+3−4=0,1 + 3 - 4 = 0, and the second gives 2+5−6=1.2 + 5 - 6 = 1.
Their sum is 0+1=1.0 + 1 = 1.
Thus, the correct answer is D .
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