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Andhra Pradesh SSC (Class 10) Real Numbers and Polynomials — practice questions — page 4

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 91–115 of 115.

If HCF(a, b) = 9 and a · b = 1620, find LCM(a, b).Read the answer and worked solution →Two bells ring at intervals of 9 and 15 minutes. They ring together at noon. When do they ring together again?Read the answer and worked solution →Which of the following is an irrational number?Read the answer and worked solution →Will the decimal expansion of 13/125 terminate?Read the answer and worked solution →The decimal expansion of 1/6 is:Read the answer and worked solution →Which of the following will have a terminating decimal expansion?Read the answer and worked solution →Numbers that fill the number line completely (every point on the line corresponds to such a number) are called:Read the answer and worked solution →If p is prime and p divides a², then p divides a. This step is used to prove which number irrational in your syllabus?Read the answer and worked solution →Euclid's division lemma for integers a, b > 0 says there exist q, r such that:Read the answer and worked solution →For two positive integers, HCF × LCM equals:Read the answer and worked solution →Degree of 5x³ − 2x² + 7 is:Read the answer and worked solution →For ax² + bx + c, the sum of roots equals:Read the answer and worked solution →For two positive integers, HCF × LCM equals:Read the answer and worked solution →Pop only the prime numbers.Read the answer and worked solution →Continue the arithmetic progression.Read the answer and worked solution →Pop only the perfect squares.Read the answer and worked solution →Continue the powers of 2.Read the answer and worked solution →Continue the arithmetic progression.Read the answer and worked solution →Pop only the irrational numbers.Read the answer and worked solution →Match each trig ratio to its definition in a right triangle.Read the answer and worked solution →Sort each number as Prime or Composite.Read the answer and worked solution →Pythagorean theorem.Read the answer and worked solution →AP nth term formula.Read the answer and worked solution →CLASS10 · Mathematics · HCF & LCM PairsRead the answer and worked solution →CLASS10 · Mathematics · Polynomial Zeros & CoefficientsRead the answer and worked solution →

Worked practice questions

If HCF(a, b) = 9 and a · b = 1620, find LCM(a, b).

  1. 1620
  2. 180
  3. 80
  4. 9
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Correct answer: B. 180

HCF × LCM = a × b, so LCM = 1620 / 9 = 180.

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Two bells ring at intervals of 9 and 15 minutes. They ring together at noon. When do they ring together again?

  1. after 9 min
  2. after 15 min
  3. after 30 min
  4. after 45 min
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Correct answer: D. after 45 min

Meeting time = LCM(9, 15). 9 = 3², 15 = 3·5. LCM = 3²·5 = 45. They ring together again 45 min after noon.

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Which of the following is an irrational number?

  1. 0.333…
  2. √5
  3. 22/7
  4. 3.14
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Correct answer: B. √5

√5 cannot be written as p/q with integer p, q. **The other three are rational:** 22/7 by construction, 3.14 = 314/100, and 0.333… = 1/3.

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