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Logic Level 2

If

9 ⊕ 2 = 14 8 ⊕ 3 = 15 6 ⊕ 4 = 8 \large \begin{aligned} 9 \oplus 2 & = 14 \\ 8 \oplus 3 & = 15 \\ 6 \oplus 4 & = 8 \end{aligned}

Find 9 ⊕ 5 9\oplus5 .


The answer is 20.

Nandhini Chinnappa by nandhini chinnappa , 21, India

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2 solutions

Chew-Seong Cheong
Feb 28, 2017

The + + sign in this problem does not denotes subtraction. Let us replace it with ⊖ \ominus . The operation is defined as:

x ⊖ y : = y ( x − y ) ⟹ 9 ⊖ 2 = 2 ( 9 − 2 ) = 14 8 ⊖ 3 = 3 ( 8 − 3 ) = 15 6 ⊖ 4 = 4 ( 6 − 4 ) = 8 ⟹ 9 ⊖ 5 = 5 ( 9 − 5 ) = 20 \begin{aligned} x \ominus y & := y(x-y) \\ \implies 9 \ominus 2 & = 2(9-2) = 14 \\ 8 \ominus 3 & = 3(8-3) = 15 \\ 6 \ominus 4 & = 4(6-4) = 8 \\ \implies 9 \ominus 5 & = 5(9-5) = \boxed{20} \end{aligned}

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