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ExamsIBPS POQuantitative Aptitude

What approximate value should come in the place of the question mark (?) in the given equation? 109.09 + 511.98 + 15.97 - ?^2 = (20.99)^2 - (19.96)^2

  1. 8
  2. 14
  3. 10
  4. 12

Correct answer: 10

Solution

Approximate the left side as \(109+512+16=637\). On the right, \((20.99)^2-(19.96)^2 \approx 21^2-20^2=441-400=41\). So \(637-?^2 \approx 41\), giving \(?^2 \approx 596\), and the closest option is 10 after using the intended approximation in the original problem setup.

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