Multiple choice

What approximate value will come in place of question mark (?) in the following questions ? (66.97 + \sqrt{9.084} + ? = 52.114 + (8.044)^{2} )

  1. 46

  2. 41

  3. 43

  4. 48

  5. 50
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A Correct answer
Explanation

Approximating: 67 + √9 + ? = 52 + 8² gives 67 + 3 + ? = 52 + 64, so 70 + ? = 116, therefore ? = 46. More precisely: 66.97 + 3.02 + ? = 52.114 + 64.704 gives 69.99 + ? = 116.818, so ? ≈ 46.83. The closest approximation is 46.

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