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.
    Three tennis balls are just packed in a cylindrical jar. If radius of each ball is \(r\), volume of air inside the jar is

      • \(2\pi r^3\)
      • \(3\pi r^3\)
      • \(5\pi r^3\)
      • \(4\pi r^3\)

    • 2.
      The dimensions of a window are 156 cm \(\times\) 216 cm. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.


        • 3.
          PQ is tangent to a circle with centre O. If \(OQ = a\), \(OP = a + 2\) and \(PQ = 2b\), then relation between \(a\) and \(b\) is

            • \(a^2 + (a + 2)^2 = (2b)^2\)
            • \(b^2 = a + 4\)
            • \(2a^2 + 1 = b^2\)
            • \(b^2 = a + 1\)

          • 4.
            Prove that \(2 + 3\sqrt{5}\) is an irrational number given that \(\sqrt{5}\) is an irrational number.


              • 5.
                For any natural number n, \( 5^n \) ends with the digit :

                  • 0
                  • 5
                  • 3
                  • 2

                • 6.
                  An ice-cream cone of radius \(r\) and height \(h\) is completely filled by two spherical scoops of ice-cream. If radius of each spherical scoop is \(\frac{r}{2}\), then \(h : 2r\) equals

                    • \(1 : 8\)
                    • \(1 : 2\)
                    • \(1 : 1\)
                    • \(2 : 1\)

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