Question

'+' stands for division, stands for multiplication, 'x' stands for subtraction and '-' stands for addition. Which one of the following equations is correct ?

• A. $18+6-7+5\times 2=20$
• B. $18+6÷7\times 5-2=18$
• C. $18\times 6÷7+5-2=16$
• D. $18÷6\times 7+6-2=22$

Answer 1

Answer: (B)

$18+6÷7\times 5-2=18$

The answer is option $B$

Evaluating LHS of each equation by substituting the actual symbols and using the BODMAS rule and comparing it with the RHS we get,

$\text{Option A}$

LHS $=18+6-7+5\times 2$

$=18÷6+7÷5-2=3+1.4-2=4.4-2=2.4\ne 20=RHS$

$\text{Option B}$

LHS $=18+6÷7\times 5-2$

$=18÷6\times 7-5+2=3\times 7-5+2=21-5+2=18=RHS$

$\text{Option C}$

LHS $=18\times 6÷7+5-2$

$=18-6\times 7÷5+2=18-6\times 1.4+1.4+2=18-10.4=8.4\ne 16=RHS$

$\text{Option D}$

LHS $=18÷6\times 7+6-2$

$=18\times 6-7÷6+2=108-7÷6+2=108-1.16+2=108-3.16=94.84\ne 22=RHS$

$\therefore$ the answer is option $B$