Question 42

Which two signs should be interchanged to make the following equation correct?

$$4 \div 6 + 9 - 48 \times 8 = 27$$

Solution

By Trial and Error method,

Option A

$$4\div6\times9-48+8=27$$

$$\frac{2}{3}\times9-48+8=27$$

$$6-48+8=27$$

$$-34=27$$

Hence Option A is incorrect

Option B

$$4\div6-9+48\times8=27$$

$$\frac{2}{3}-9+48\times8=27$$

After solving the value will be decimal which is not possible

Option C

$$4+6\div9-48\times8=27$$

$$4+\frac{2}{3}-48\times8=27$$

After solving the value will be decimal which is not possible

Option D

$$4\times6+9-48\div8=27$$

$$4\times6+9-6=27$$

$$24+9-6=27$$

$$27=27$$

Hence, the correct answer is Option D


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