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Q.

Some equations are solved on the basis of a certain system. Find the correct answer for the unsolved equation on that basis
$5 ⊙ 3 = - 7; 3 ⊙ 7 = - 11; 7 ⊙ 11 = ?$

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a

$- 59$

b

77

c

$- 15$

d

18

answer is A.

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Detailed Solution

$\begin{array}{l} 5 ⊙ 3 = - 7 \\ \Rightarrow (5 \times 3) - (5 + 3) \\ \Rightarrow 15 - 8 = 7 \\ 7 \Rightarrow - 7 \\ 3 ⊙ 7 = - 11 \\ \Rightarrow (3 \times 7) - (3 + 7) \\ \Rightarrow 21 - 10 = 11 \\ 11 \Rightarrow - 11 \\ 7 ⊙ 11 \\ \Rightarrow (7 \times 11) - (7 + 11) \\ \Rightarrow 77 - 18 = 59 \\ 59 \Rightarrow - 59 \end{array}$

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