Question 88

What will come in place of both the question marks ? in the following question?
$$\frac{(?)^{2.7}}{98}=\frac{(28)}{(?)^{0.3}}$$

Solution

Let the number to replace the question mark be equal to $$X$$

So, $$\frac{(X)^{2.7}}{98}=\frac{(28)}{(X)^{0.3}}$$

Multiplying the denominators on both sides, we get $$X^{2.7+0.3} = 98 \times 28$$
So, $$X^3 = 98 \times 28 = 14 \times 14 \times 14$$

Hence, $$X=14$$ and the correct answer is option (b)

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What will come in place of both the question marks ? in the following question?$$\frac{(?)^{2.7}}{98}=\frac{(28)}{(?)^{0.3}}$$