Question

Choose the correct answer from the alternatives given :
If '+ denotes $\times$, - denotes $÷$, $\times$ denotes +, $÷$ denotes '-, then choose the correct equation from the given alternatives:

• A. 18 $÷$ 6 + 4 - 2 $÷$ 3 = 22
• B. 18 + 6-4 $\times$ 2 $÷$ 3 = 26
• C. 18 $\times$ 6-4 + 7 $\times$ 8 = 47
• D. l8 - 6 $\times$ 7 $÷$ 2 + 8 = 63

Answer 1

The correct option is B 18 + 6-4 $\times$ 2 $÷$ 3 = 26

(1) 18 $÷$ 6 + 4 - 2 $÷$ 3=22
$\Rightarrow$ 18 - 6 $\times$ 4 $÷$ 2 - 3=22
$\Rightarrow$ 18 - 6 $\times$ 2 3 = 22
$\Rightarrow$ 18- 12 3 $\ne$ 22

(2 18 + 6 - 4 $\times$ 2 $÷$ 3=26
$\Rightarrow$ 18 $\times$ 6 $÷$4 + 2-3 = 26
$\Rightarrow$ 27 + 2-3 = 26

(3) 18 $\times$ 6-4 + 7 $\times$8 = 47
$\Rightarrow$ 18 + 6 $÷$ 4 $\times$ 7 + 8 = 47
$\Rightarrow 18+\frac{3}{2}\times 7+8=47$
$\Rightarrow 18+\frac{21}{2}+8=47=\Rightarrow \frac{36+21+16}{2}=47$
$\Rightarrow 3\ne 47\times$ 2

(4) 18-6 $\times 7÷$ 2+8=63
$\Rightarrow 18÷6+72\times$ 8 = 63
$\Rightarrow 3+716\ne$63