NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.4

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Jasmine Grover

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NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.4 deals with the concepts of rational numbers and their decimal expansions. The exercise has 3 short questions of the exercise discussing when the decimal expansion of a rational number is terminating and when it is non-terminating.

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CBSE X Related Questions

  • 1.
    Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
    Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

      • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
      • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
      • Assertion (A) is true, but Reason (R) is false.
      • Assertion (A) is false, but Reason (R) is true.

    • 2.
      Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.


        • 3.
          The first term of an AP is $p$ and the common difference is $q$, then its 10th term is :

            • $q - 9p$
            • $p - 9q$
            • $p + 9q$
            • $2p + 9q$

          • 4.
            In the figure given above, \(\triangle ABC \sim \triangle XYZ\), then find the values of \(x\) and \(y\).


              • 5.
                If the quadratic equation \(9x^2 + 8kx + 16 = 0\) has real and equal roots, then the value of k is

                  • 3
                  • –3
                  • –4
                  • \(\pm 3\)

                • 6.
                  Prove that :
                  \(\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta\).

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