Q73. 24.21² + 12.16 = ? × (49.99% of 55.98)

Question

Q73. 24.21² + 12.16 = ? × (49.99% of 55.98)

1. A. 25
2. B. 29
3. C. 21 (Correct answer)
4. D. 17
5. E. 33

Correct Answer

Option C — 21

Detailed Solution & Explanation

The correct answer is 21.

Key Points

• Round each term and solve for the missing multiplier (?).
• 24.21² ≈ 24² = 576, then 576 + 12.16 ≈ 588.
• 49.99% of 55.98 ≈ 50% of 56 = 28.
• So the equation is 588 = ? × 28, giving ? = 588 ÷ 28 = 21.
• '50% of' a number is simply half of it (56 → 28).
• After rounding both sides, the unknown is found by a single division.

Exam Tip

• when a squared term appears, round the base to the nearest whole number (24.21 → 24) before squaring; the small rounding error is well within the gap between the answer options.
• Recognising 49.99% as simply half and 24.21 squared as about 576 turns a messy-looking equation into two easy mental steps.