Instructions

What approximate value will come in place of the question mark (?) in the given questions ? (You are not expected to calculate the exact value)

Question 62

$$11.92^{2}+ 16.01^{2} = ?^{2} \times 3.85^{2}$$

Solution

Rounding off the decimals to the nearest whole number and calculating the result would give an answer close to the actual answer.
$$12^2 = 144$$
$$16^2 = 256$$
$$12^2 + 16^2 = 144 + 256 = 390 $$
Let the unknown term be x.
$$x^2 \times 4^2 = 390$$
$$x^2 = \frac{390}{16}$$
$$ x^2 \approx 24$$
$$x \approx 5$$
Hence Option D is the correct answer.


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