Question 46

In the following equation, two signs need to be interchanged to make the given value correct. Choose the signs from the given alternatives.

$$84 \div 4 \times 5 - 4 + 5 = 104$$

Solution

Given Equation : $$84 \div 4 \times 5 - 4 + 5 = 104$$

We have to check it option wise and solve it as per the rule of BODMAS.

Option A  : $$\times and +$$

Changed Equation : $$84\div4+5-4\times\ 5=104$$

$$21+5-4\times\ 5=104$$

$$21+5-20=104$$

$$6\ne\ 104$$

Option A is incorrect.

Option B : $$\div and \times$$

Changed Equation : $$84\times\ 4\div5-4+5=104$$

$$84\times\frac{4}{\ 5}-4+5=104$$

$$84\times\frac{4}{\ 5}+1\ne\ 104$$

Option B is incorrect

Option C : $$\div and +$$

Changed Equation :  $$84+4\times5-4\div5=104$$

$$84+4\times5-4\div5=104$$

$$104-\frac{4}{5}\ne\ 104$$

Option C is incorrect. 

Option D : $$+ and -$$

Changed Equation : $$84\div4\times5+4-5=104$$

$$21\times5+4-5=104$$

$$105-1=104$$

$$104=104$$

Hence, Option D is correct. 


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