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What will come in place of the question mark (?) in the following equation? 950 + 50 × 15 - 14 × 22 + \sqrt{?} = 11^3 + 9^2

1. 200
2. 240
3. 320
4. 400

Correct answer: 400

Solution

Compute the left side without the root: 950 + 50×15 - 14×22 = 950 + 750 - 308 = 1392. The right side is 11³ + 9² = 1331 + 81 = 1412, so \sqrt{?} = 20 and ? = 400.

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