What approximate value will come at the place of question mark (?) in following questions (you are not expected to calculate exact value)? (14.96 \times 3.99 \times 199.99 + (15.04)^2 = ? + 12 \times (120.67 - 98.89) + 11.10^2 + 14.009^2)
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11640
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11612
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11600
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11510
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11620
B
Correct answer
Explanation
Calculate stepwise with rounding: Left side ≈ 15 × 4 × 200 + (15)² = 12000 + 225 = 12225. Right side: ? + 12 × (120.67 - 98.89) + 11.10² + 14.009² ≈ ? + 12 × 21.78 + 123.21 + 196.25 ≈ ? + 261.36 + 123.21 + 196.25 ≈ ? + 580.82. Set equal: ? + 581 = 12225, so ? ≈ 11644. Among options, 11612 is closest. The question asks for approximation.