Question
If a * b = 2a - 3b + ab, then 3 * 5 + 5 * 3 is equal to?
Answer: Option A
$$\eqalign{
& 3*5 + 5*3 \cr
& \Rightarrow 3*5 = 2 \times 3 - 3 \times 5 + 3 \times 5 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 6 - 15 + 15 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 6 \cr
& \Rightarrow 5*3 = 2 \times 5 - 3 \times 3 + 3 \times 5 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10 - 9 + 15 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 16 \cr
& \therefore 3*5 + 5*3 \cr
& \Rightarrow 6 + 16 = 22 \cr} $$
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$$\eqalign{
& 3*5 + 5*3 \cr
& \Rightarrow 3*5 = 2 \times 3 - 3 \times 5 + 3 \times 5 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 6 - 15 + 15 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 6 \cr
& \Rightarrow 5*3 = 2 \times 5 - 3 \times 3 + 3 \times 5 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10 - 9 + 15 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 16 \cr
& \therefore 3*5 + 5*3 \cr
& \Rightarrow 6 + 16 = 22 \cr} $$
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