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Andhra Pradesh SSC (Class 10) Real Numbers and Polynomials — practice questions — page 3

Explore 115 free Real Numbers and Polynomials questions in Andhra Pradesh SSC (Class 10) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Real Numbers and Polynomials questions and exercises with answers

Showing questions 61–90 of 115.

The LCM of 6 and 20 is:Read the answer and worked solution →The product of the HCF and LCM of 6 and 20 is:Read the answer and worked solution →The decimal expansion of 1/3 is:Read the answer and worked solution →The decimal expansion of 7/8 is:Read the answer and worked solution →The number of prime numbers is:Read the answer and worked solution →The prime factorisation of 156 is:Read the answer and worked solution →The sum √3 + √5 is:Read the answer and worked solution →The Fundamental Theorem of Arithmetic states that every composite number can be expressed as:Read the answer and worked solution →What is the degree of the polynomial 5x³ − 2x² + 7?Read the answer and worked solution →Which of the following is NOT a polynomial?Read the answer and worked solution →What is p(−1) for p(x) = x³ − 3x + 2?Read the answer and worked solution →For what value of x is x = 2 a zero of x² − 4?Read the answer and worked solution →Identify the degree of the polynomial (2x − 3)(x + 1)(x² + 1).Read the answer and worked solution →Find the zero of p(x) = 3x − 12.Read the answer and worked solution →How many real zeroes does p(x) = x² + 4 have?Read the answer and worked solution →Find the zeroes of x² − 5x + 6.Read the answer and worked solution →How many real zeroes does p(x) = (x − 1)² have?Read the answer and worked solution →Find the zeroes of 4x² − 4x − 3.Read the answer and worked solution →For what value of k does p(x) = x² + kx + 9 have equal zeroes?Read the answer and worked solution →If α and β are zeroes of x² − 5x + 6, find α + β and αβ.Read the answer and worked solution →For 3x² + 7x − 2, find the sum and product of zeroes.Read the answer and worked solution →Construct a quadratic polynomial whose zeroes are 3 and 5.Read the answer and worked solution →One zero of x² − 7x + k is 3. Find k and the other zero.Read the answer and worked solution →If α and β are zeroes of x² + 5x + 4, find α + β + αβ.Read the answer and worked solution →Construct a quadratic whose zeroes are 2 and −7.Read the answer and worked solution →Which of the following numbers is prime?Read the answer and worked solution →The prime factorisation of 360 is:Read the answer and worked solution →The Fundamental Theorem of Arithmetic guarantees that:Read the answer and worked solution →Find the HCF of 24 and 36.Read the answer and worked solution →Find the LCM of 12 and 18.Read the answer and worked solution →

Worked practice questions

The LCM of 6 and 20 is:

  1. 26
  2. 120
  3. 2
  4. 60
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Correct answer: D. 60

LCM(6,20) = 2²·3·5 = 60.

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The product of the HCF and LCM of 6 and 20 is:

  1. 26
  2. 2
  3. 120
  4. 60
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Correct answer: C. 120

HCF × LCM = 2 × 60 = 120 = 6 × 20.

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The decimal expansion of 1/3 is:

  1. non-terminating and repeating
  2. non-terminating and non-repeating
  3. terminating
  4. an integer
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Correct answer: A. non-terminating and repeating

Since 3 has a prime factor other than 2 or 5, 1/3 is non-terminating repeating.

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