Question 31

By interchanging which two signs the equation will be correct?
$$11 + 9 - 4 \times 12 \div 6 = 32$$

Solution

Option (a)Ā $$\div and -$$

$$11 + 9 \div 4 \times 12 - 6 = 32$$

$$11+\frac{9}{4}\times12-6=32$$

$$11+9\times3-6=32$$

$$11+27-6=32$$

32=32

The given equation is satisfied. So this is the correct answer.

Option (b)Ā $$- and +$$

$$11 - 9 + 4 \times 12 \div 6 = 32$$

$$11-9+4\times2=32$$

$$2+8=32$$

$$10\ne\ 32$$

The given equation is not satisfied. So this is not the correct answer.

Option (c)Ā $$\times and +$$

$$11 \times 9 - 4 + 12 \div 6 = 32$$

$$99 - 4 + 2 = 32$$

$$97\ne\ 32$$

The given equation is not satisfied. So this is not the correct answer.

Option (d)Ā $$\times and \div$$

$$11 + 9 - 4Ā \div 12 \timesĀ 6 = 32$$

$$11+9-\frac{4}{12}\times6=32$$

$$11+9-\frac{24}{12}=32$$

$$11+9-2=32$$

$$18\ne\ 32$$

The given equation is not satisfied. So this is not the correct answer.


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