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Simplification & Approximation · Question 69 of 71

Question 69

HardOriginal question

What is 17.98% of 849.9+19359.02\dfrac{17.98\% \text{ of } 849.9 + \sqrt{1935}}{9.02} approximately equal to?

Options for question 69

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. 18%18\% of 850=0.18×850=153850 = 0.18 \times 850 = 153.

  2. 442=193644^2 = 1936, so 1935≈44\sqrt{1935} \approx 44.

  3. Numerator ≈153+44=197\approx 153 + 44 = 197; divide by 9: 197÷9≈21.9197 \div 9 \approx 21.9, closest to 22.

Worth noting

The division line covers the whole numerator, so add first and divide once. Rounding 17.98% to 18% and 849.9 to 850 keeps the multiplication easy. The exact value is about 21.8.

Concept
Multi-step estimation with a percentage, a root and a division
Typical time
90 s
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