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Quantitative Aptitude
mediumQ. No. 14147-simplify-and-calculate-33-x-33-32-x-32

Simplify and calculate: 33 x 33 - 32 x 32.

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This Simplification question develops accurate interpretation and stepwise calculation for “Simplify and calculate: 33 x 33 - 32 x 32.”. The explanation preserves the original mathematical conditions, verifies 65, 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.

A65
B67
C69
D63
Correct Answer: 65Your Answer: A

Explanation

Apply BODMAS: brackets, orders, division and multiplication from left to right, then addition and subtraction. 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. 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.

Important Notes

  • Simplify the expression in “Simplify and calculate: 33 x 33
  • Solve or Simplify step by step: Applying BODMAS to 33 x 33
  • While simplifying “Simplify and calculate: 33 x 33
  • 32 x 32.”, preserve every sign and bracket.

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14221-simplify-and-calculate-the-value-of-52441Simplify and calculate the value of √52441.14220-simplify-3000-15-5-60Simplify: 3000 / 15 / 5 + 6014219-simplify-and-calculate-20-2-21-2-29-2Simplify 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?

Apply BODMAS: brackets, orders, division and multiplication from left to right, then addition and subtraction.

What is the verified answer?

65, option A.

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.