(492 * 182) / 324 = ________?
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Answer: C. 492
Explanation
The correct answer is four hundred ninety-two based on standard expression evaluation. The numerator contains squared terms that simplify when divided by three hundred twenty-four. Evaluating the arithmetic operations step by step results in the correct numeric value. Order of operations dictates evaluating exponents and multiplications before division. Three hundred twenty-four is the exact square of eighteen used in the denominator. Simplifying squared terms with matching denominators streamlines large calculations.
Arithmetic simplification is a foundational skill tested in numerical aptitude examinations. Engineering calculations often require reducing complex algebraic fractions before computing. Computer algorithms simplify mathematical expressions to optimize floating-point calculations. Option A represents an incomplete simplification of the squared numerator terms. Option B results from a division error during the intermediate calculation steps. Option D overestimates the final value by misinterpreting the expression structure.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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