question_answer

If + means \[\div ,\text{ }-\]means \[\times ,\text{ }\times \]means + and \[\div \] means\[-\], then which of the alternatives is correct?

A) \[5\times 8-5+5\div 1=12\]

B) \[55-2+10-1\times 5=16\]

C) \[38\div 10-5+7\times 8=25\]

D) \[10-12+2\div 30\times 1=10\]

Correct Answer: A

Solution :

Option (a) \[5\times 8-5+5\div 1=12\] \[\Rightarrow 5+8\times 5\div 5-1=12\] \[\Rightarrow 5+8\times 1-1=12\] \[\Rightarrow 5+8-1=12\] Option (b) \[55-2+10\div 1\times 5=16\] \[\Rightarrow 55\times 2\div 10-1+5=16\] \[\Rightarrow \frac{55\times 2}{10}-1+5=16\] \[\Rightarrow 11-1+5\cancel{=}16\] Option (c) \[38\div 10-5+7\times 8=25\] \[\Rightarrow 38-10\times 5\div 7+8=25\] \[\Rightarrow 38-\frac{10\times 5}{7}+8=25\] \[\Rightarrow 38-\frac{50}{7}+8\cancel{=}25\] Option (d) \[10-12+2\div 30\times 1=10\] \[\Rightarrow 10\times 12\div 2-30+1=10\] \[\Rightarrow 10\times 6-30+1=10\] \[\Rightarrow 60-30+1\cancel{=}10\]