If 0 stands for the operation "Subtract and double the value", that is a0b = 2(a-b); and Ø stands for "Multiply and halve", that is aØb =$$\frac{1}{2}$$​ ab then, find the value of:
(8Ø6)0(6Ø4)

Correct option is A

Given:

If 0 stands for the operation "Subtract and double the value", that is a0b = 2(a-b);

and Ø stands for "Multiply and halve", that is aØb = $$\frac{1}{2}$$ ab

Solution:

Calculate (8$$\phi$$6)

The operation $$\phi$$ stands for "Multiply and halve."

​8$$\phi$$​6 = $$\frac{1}2$$ $$\times (8\times6)$$ = $$\frac{1}{2} \times48$$ = 24

​Calculate  $$6\phi4$$

Again, using the operation $$\phi$$

​$$6\phi4$$ = $$\frac{1}2 \times(6 \times 4)$$ = $$\frac{1}2 \times 24$$ = 12

​Calculate the result of (8$$\phi$$​6 )0(​$$6\phi4$$)

The operation 0 stands for "Subtract and double."

$$(8\phi6)$$​0(​$$6\phi4$$​) = 2×(24−12) = 2×12 = 24

Therefore, the value of $$(8\phi6)$$​​0(​$$6\phi4$$​) is;

24