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पूर्ण घात वाले गुणनखंडों से मूल सरल करें और सही क्रम में संक्रियाएँ करें। “सरल करके मान ज्ञात कीजिए: √1764।” को हल करते समय calculation शुरू करने से पहले सभी चिन्ह, brackets, powers और संख्यात्मक शर्तें ठीक रखें।
सरलीकरण Questions and Answers – पृष्ठ 18
BODMAS, भिन्न, दशमलव, करणी, घातांक, सन्निकटन और मिश्रित अंकगणित प्रश्नों से गणना की गति बढ़ाएं।
FAQ
सरलीकरण FAQs
Common questions and clear answers for this topic.
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.
What is Approximation and how is it used in Data Interpretation?
Approximation means finding a value close to the exact answer. In simplification and DI questions, when options are far apart, use rounding to save time. Techniques: Round to nearest 10 or 100, use percentage fractions (25% = 1/4, 33% = 1/3), estimate square roots. In competitive exams, approximation questions require finding the value closest to the actual answer.
How to solve simplification involving fractions quickly?
Fraction simplification shortcuts: When adding fractions a/b + c/d, use cross multiplication: (ad+bc)/bd. Simplify by finding GCD first. Useful fraction equivalents: 1/7 = 0.142, 1/6 = 0.167, 1/3 = 0.333, 2/3 = 0.667. For mixed numbers: 3 and 2/5 = 17/5. When dividing fractions: multiply by reciprocal. Practice minimum 20 simplification questions daily for exam preparation.
What are surds and how to simplify radical expressions?
Surds are irrational numbers expressed with square roots or other roots. Simplification rules: root(a) x root(b) = root(ab), root(a)/root(b) = root(a/b), (root(a)) squared = a. Rationalization: Multiply top and bottom by conjugate to remove surd from denominator. Example: 1/(2+root 3) = (2-root 3)/((2+root 3)(2-root 3)) = (2-root 3)/(4-3) = 2-root 3. Surds appear in SSC CGL and IBPS exams.
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