sukhman wrote:If q, r, and s are consecutive even integers and q < r < s, which of the following CANNOT be the value ofs^2 - r^2 - q^ 2?
(A) -20 (B) 0 (C) 8 (D) 12 (E) 16
for me answer was a after plugging in numbers but its c
q², r² and s² are THREE CONSECUTIVE EVEN PERFECT SQUARES.
MAKE A LIST of possible values:
4, 16, 36, 64, 100, 144...
s² - r²- q² = 144-100-64 = -20.
s² - r²- q² = 100-64-36 = 0.
s² - r²- q² = 64-36-16 = 12.
s² - r²- q² = 36-16-4 = 16.
Since A, B, D, and E are possible, the correct answer is
C.
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