Indices and Surds

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Indices and Surds MCQ & Objective Questions

Understanding Indices and Surds is crucial for students preparing for various exams. These concepts form the foundation for many mathematical principles and are frequently tested in objective questions. Practicing MCQs on Indices and Surds not only enhances your problem-solving skills but also boosts your confidence, helping you score better in exams. With a focus on important questions, this section is designed to aid your exam preparation effectively.

What You Will Practise Here

  • Basic definitions and properties of indices and surds
  • Rules of exponents and their applications
  • Rationalizing surds and simplifying expressions
  • Operations involving surds: addition, subtraction, multiplication, and division
  • Solving equations with indices and surds
  • Real-life applications of indices and surds
  • Important formulas and theorems related to indices and surds

Exam Relevance

Indices and Surds are integral parts of the mathematics syllabus for CBSE, State Boards, NEET, and JEE. These topics often appear in various formats, including direct questions, application-based problems, and conceptual MCQs. Students can expect to encounter questions that require them to apply the laws of indices or simplify surds in both objective and subjective formats. Familiarity with common question patterns will significantly enhance your performance in these exams.

Common Mistakes Students Make

  • Confusing the laws of indices, especially when dealing with negative and fractional exponents
  • Incorrectly simplifying surds, leading to wrong answers
  • Overlooking the importance of rationalizing the denominator in expressions involving surds
  • Misapplying the properties of exponents in complex problems

FAQs

Question: What are indices in mathematics?
Answer: Indices, or exponents, represent the power to which a number is raised, indicating how many times to multiply the number by itself.

Question: How do I simplify surds?
Answer: To simplify surds, factor the number under the square root into its prime factors and extract any perfect squares.

Start solving practice MCQs on Indices and Surds today to test your understanding and solidify your concepts. The more you practice, the better prepared you will be for your exams!

Q. What is the simplified form of the expression 2(x + 3) - 4?
  • A. 2x + 2
  • B. 2x + 6
  • C. 2x + 10
  • D. 2x - 4
Q. What is the simplified form of the expression 2√(8) + 3√(2)?
  • A. 4√(2)
  • B. 6√(2)
  • C. 8√(2)
  • D. 5√(2)
Q. What is the simplified form of the expression 2√18 + 3√8?
  • A. 6√2
  • B. 12√2
  • C. 8√2
  • D. 10√2
Q. What is the solution to the equation 7x - 2 = 5x + 6?
  • A. x = 4
  • B. x = 3
  • C. x = 2
  • D. x = 1
Q. Which of the following is the solution to the equation 4x^2 - 12x + 9 = 0?
  • A. x = 1
  • B. x = 2
  • C. x = 3
  • D. x = 4
Q. Which of the following is the solution to the inequality 2x + 1 > 3?
  • A. x < 1
  • B. x > 1
  • C. x < 2
  • D. x > 2
Q. Which of the following is the solution to the inequality 2x + 3 ≥ 7?
  • A. x ≤ 2
  • B. x ≥ 2
  • C. x < 2
  • D. x > 2
Q. Which of the following represents the expression 2x^2 + 8x factored?
  • A. 2x(x + 4)
  • B. 2(x^2 + 4)
  • C. x(2x + 8)
  • D. 2(x + 4)
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