Question 39

Which two numbers (NOT digits) should be interchanged to make the following equation mathematically correct?
$$8 \div 2 \times 6 − 11 + 5 = 15$$

Solution

$$15=15$$$$4\times\ 5\ -\ 11\ +\ 6=15$$$$4\times\ 5\ -\ 11\ +\ 6=15$$According to the given equation we need to solve it as L.H.S=R.H.S
Need to check each and every option
2 and 8

$$8\ \frac{\ 2}{ }\times\ 6\ -\ 11\ +\ 5=15$$

$$2\ \frac{\ 8}{ }\times\ 6\ -\ 11\ +\ 5=15$$

$$4\times\ 6\ -\ 11\ +\ 5=15$$

$$24\ -\ 11\ +\ 5=15$$

$$13\ +\ 5=15$$

$$18=15$$

5 and 6

$$2\ \frac{\ 8}{ }\times\ 5\ -\ 11\ +\ 6=15$$

$$4\times\ 5\ -\ 11\ +\ 6=15$$

$$20\ -\ 11\ +\ 6=15$$

$$9\ +\ 6=15$$

$$15=15$$

2 and 6

$$8\ \frac{\ 6}{ }\times\ 2\ -\ 11\ +\ 5=15$$

$$8\ \frac{\ 12}{ }\ -\ 11\ +\ 5=15$$

$$8\ \frac{\ 1}{ }\ +\ 5=15$$

$$8\ \frac{\ 6}{ }=15$$

$$1.33=15$$

6 and 11

$$8\ \frac{\ 2}{ }\times\ 11\ -\ 6\ +\ 5=15$$

$$4\times\ 11\ -\ 6\ +\ 5=15$$

$$44\ -\ 6\ +\ 5=15$$

$$38\ +\ 5=15$$

$$43=15$$

so, hence according to this Option B is L.H.S=R.H.S


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