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mediumQ. No. 14146-simplify-40-of-500-50-of-400

Simplify: 40% of 500 + 50% of 400

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This Simplification question develops accurate interpretation and stepwise calculation for “Simplify: 40% of 500 + 50% of 400”. The explanation preserves the original mathematical conditions, verifies 400, and identifies common errors involving signs, brackets, operation order, factors, remainders or fraction handling. The verified result is 400.

A390
B395
C400
D405
Correct Answer: 400Your Answer: C

Explanation

The verified answer is 400, option C. The question-specific working recorded with the item is: Applying BODMAS to 40% of 500 + 50% of 400 gives 400.. The distractors 390, 395, 405 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.

Important Notes

  • Simplify the expression in “Simplify: 40% of 500 + 50% of 400” to obtain 400.
  • Solve or Simplify step by step: Applying BODMAS to 40% of 500 + 50% of 400 gives 400.
  • While simplifying “Simplify: 40% of 500 + 50% of 400”, preserve every sign and bracket.
  • Reverse-check this Simplify result 400 against the original expression.

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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?

Convert percentages to fractions or decimals before applying the order of operations.

What is the verified answer?

400, 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: 40% of 500 + 50% of 400 | Simplification MCQ | Exambodh