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Find the HCF of highest two …

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  1. Find the HCF of highest two digit number and highest three digit number using Euclid Lemma.
  2. Show that every even positive integer can be expressed as 6q+1, 6q+3, and 6q+5.
  3. Prove that square of a positive integer can be expressed in the form 3n or 3n+1.
  4. Prove that <m:omath><m:rad><m:radpr><m:deghide m:val="on"><m:ctrlpr></m:ctrlpr></m:deghide></m:radpr><m:deg></m:deg><m:e><i><m:r>3</m:r></i></m:e></m:rad></m:omath> is an irrational number.
  5. Find whether the decimal representation of <m:omath><m:f><m:fpr><m:ctrlpr></m:ctrlpr></m:fpr><m:num><i><m:r>310</m:r></i></m:num><m:den><i><m:r>775×8</m:r></i></m:den></m:f></m:omath> is terminating or not? If terminating, write its decimal form.
  6. In a cinema hall there are three types of classes, I, II and balcony. Number of seats in each class is 225, 315 and 135 respectively. The management wanted to put equal and maximum number of chairs in each row. Find the number of chairs in each row?
  7. Prove that 2 – 5<m:omath><m:rad><m:radpr><m:deghide m:val="on"><m:ctrlpr></m:ctrlpr></m:deghide></m:radpr><m:deg></m:deg><m:e><i><m:r>3</m:r></i></m:e></m:rad></m:omath> is an irrational number.
  8. Find the value of “n” so that 6n ends with zero? Justify your answer.
  9. Find whether the number 2x3x5x7x11 + 5 a prime or composite? Justify your answer.
  10. Find the GCD of the numbers 215, 135 and 725 using Euclid algorithm.
  11. Factorize each of the numbers 2304 and 1296 and hence find LCM and GCD.
  12. Find three integral solutions of the linear equation 2x + 3y = 5.
  13. Write as linear equation: the cost  of 5 kg sugar and 3 kg oil is ` 440.
  14. Express as Linear equations: The total strength of a class is 56, and twice the number of boys is equal to 5 times the number of girls.
  15. Draw the graph of the following pair of linear equations:

  16. (i)            2x + y = 5, x + 2y = 4

    (ii)           3x – 2y = 7, 2x + 3y = –4

    • Posted by Sai Yashwanth Yadav 7 years, 7 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Nivedita Gupta 7 years, 7 months ago

    Are they important question or anything else.

    0Thank You

    Unnati Pragya 7 years, 7 months ago

    Yeh tera HHW hai kya

    0Thank You

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