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Quantitative Aptitude
hardQ. No. 14097

Simplify and calculate: √10404.

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This Simplification question develops accurate interpretation and stepwise calculation for “Simplify and calculate: √10404.”. The explanation preserves the original mathematical conditions, verifies 102, and identifies common errors involving signs, brackets, operation order, factors, remainders or fraction handling. The item supports SSC, Railway, Banking, State examinations and other quantitative aptitude tests where numerical speed must remain consistent with exact arithmetic reasoning. The verified result is 102.

A106
B100
C102
D104
Correct Answer: 102Your Answer: C

Explanation

The verified answer is 102, option C. Simplify roots through perfect-power factors and evaluate operations in the correct order. The question-specific working recorded with the item is: Applying BODMAS to √10404 gives 102.. Write one justified transformation per line, cancel common factors only when multiplication permits it, and preserve the left-to-right rule for operations of equal priority. The distractors 106, 100, 104 may arise from changing the order of operations, mishandling a negative sign, using an incorrect reciprocal, ignoring a divisibility condition, or rounding an exact value. Estimate the expected sign and approximate magnitude before accepting an option. The exact answer should be consistent with those bounds and with every restriction in the stem. This explanation connects the result with a reproducible method instead of isolated answer recall and strengthens calculation discipline, pattern recognition and option elimination for SSC, Railway, Banking and other competitive aptitude examinations. An independent reverse-check again gives 102.

Important Notes

  • Simplify the expression in “Simplify and calculate: √10404.” to obtain 102.
  • Solve or Simplify step by step: Applying BODMAS to √10404 gives 102.
  • While simplifying “Simplify and calculate: √10404.”, preserve every sign and bracket.
  • Reverse-check this Simplify result 102 against the original expression.

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14221Simplify and calculate the value of √52441.14220Simplify: 3000 / 15 / 5 + 6014219Simplify and calculate: 20^2 + 21^2 - 29^2.
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FAQ

Simplification FAQs

Common questions and clear answers for this topic.

Which method applies to this question?

Simplify roots through perfect-power factors and evaluate operations in the correct order.

What is the verified answer?

102, option C.

What is a common error?

Changing operation order, losing a sign, or simplifying a factor where cancellation is invalid.

How can the result be checked?

Substitute it back, estimate its magnitude, or recompute using an equivalent form.

What is Simplification in Quantitative Aptitude and what rules are followed?

Simplification involves solving mathematical expressions using BODMAS rule. BODMAS stands for: Brackets, Orders (powers and roots), Division, Multiplication, Addition, Subtraction. The rule determines the order in which operations are performed. Simplification is a major topic in SSC CGL Tier 1, IBPS Clerk, SBI Clerk, Railway Group D, and all competitive exams.

What are the important number properties needed for Simplification?

Important properties for Simplification: Squares up to 30, Cubes up to 15, Square roots of perfect squares up to 400, Multiplication tables up to 20. Also remember: a squared - b squared = (a+b)(a-b), (a+b) squared = a squared + 2ab + b squared, (a-b) squared = a squared - 2ab + b squared, a cubed + b cubed = (a+b)(a squared - ab + b squared). Memorizing these speeds up simplification in exams.

Same Topic MCQs

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Simplify and calculate the value of √52441.Simplify: 3000 / 15 / 5 + 60Simplify and calculate: 20^2 + 21^2 - 29^2.
Simplify and calculate: √10404. | Simplification MCQ | Exambodh