Question 33

Which two signs need to be interchanged to make the following equation correct?
$$26 \div 24 + 6 \times 27 − 105 = 29$$

Solution

$$26+4\times\ 27\ -\ 105=29$$The given series $$\frac{26}{24}+6\times\ 27\ -\ 105=29$$

A. $$+\ and\ -$$

$$\frac{26}{24}-6\times\ 27+105=29$$

$$1.0833-162+105=29$$

$$1.0833-57=29$$

$$-55.9167=29$$

B. $$\ \frac{\ }{ }and\ +$$

$$26+\frac{24}{6}\times\ 27\ -\ 105=29$$

$$26+108-\ 105=29$$

$$26+3=29$$

$$29=29$$

C.$$+\ and\ \times\ $$

$$\frac{26}{24}\times\ 6+27-105=29$$

$$\frac{26}{144}+27-105=29$$

$$\frac{26}{171}-105=29$$

$$\frac{26}{66}=29$$

$$0.3939=29$$

D.$$\ \frac{\ }{ }and\ -$$

$$\frac{26}{24}+6\times\ 27-105=29$$

$$26-24+6\times\ \frac{27}{105}=29$$

$$2+6\times\ \frac{27}{105}=29$$

$$2+\frac{162}{105}=29$$

$$\frac{164}{105}=29$$

$$1.561=29$$

Hence option B is correct answer


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