Class 9 CBSE Chapter: Number System
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Questions and Answers

If the HCF of 2^3 × 3^2 × 5 and 2^2 × 3^4 × 7 is 2^2 × 3^2, then the LCM of these two numbers is:

  • 2^3 × 3^4 × 5 × 7
  • 2^5 × 3^5 × 5 × 7
  • 2^4 × 3^5 × 5 × 7
  • 2^3 × 3^5 × 5 × 7 (correct)
  • The number of digits in the smallest number which is a perfect square and is divisible by 2^3, 3^2, 5^2 is:

  • 8
  • 6 (correct)
  • 7
  • 5
  • The number 0.aba bab... is a:

  • rational number (correct)
  • repeating decimal
  • irrational number
  • non-repeating decimal
  • If the number 343x is divisible by 7, then the possible value of x is:

    <p>7</p> Signup and view all the answers

    If the numbers 2^3 × 3^2 × 5, 2^2 × 3^4 × 7 are the HCF and LCM of two numbers, then the product of these two numbers is:

    <p>2^5 × 3^6 × 5 × 7</p> Signup and view all the answers

    Study Notes

    HCF and LCM

    • HCF of 2^3 × 3^2 × 5 and 2^2 × 3^4 × 7 is 2^2 × 3^2
    • LCM of 2^3 × 3^2 × 5 and 2^2 × 3^4 × 7 is the product of these two numbers divided by their HCF

    Smallest Perfect Square

    • The smallest number that is a perfect square and is divisible by 2^3, 3^2, 5^2 has a certain number of digits
    • The number of digits is equal to the power of the highest prime factor of the given number plus 1

    Repeating Decimals

    • 0.aba bab... is a recurring decimal

    Divisibility

    • If 343x is divisible by 7, then x can be 7 or a multiple of 7

    Product of Numbers

    • The product of two numbers is equal to the product of their HCF and LCM

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    Description

    Practice challenging MCQs on Number System covering concepts like HCF, LCM, and divisibility. Suitable for CBSE Class 9 students.

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