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

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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.
    Check whether the following system of equations is consistent or not. If consistent, solve graphically: \[ x - 2y + 4 = 0, \quad 2x - y - 4 = 0 \]


      • 2.
        AB and CD are diameters of a circle with centre O and radius 7 cm. If \(\angle BOD = 30^\circ\), then find the area and perimeter of the shaded region.


          • 3.
            In a right triangle ABC, right-angled at A, if $\sin B = \dfrac{1}{4}$, then the value of $\sec B$ is

              • 4
              • $\dfrac{\sqrt{15}}{4}$
              • $\sqrt{15}$
              • $\dfrac{4}{\sqrt{15}}$

            • 4.

              In the adjoining figure, TS is a tangent to a circle with centre O. The value of $2x^\circ$ is

                • 22.5
                • 45
                • 67.5
                • 90

              • 5.
                Let $p$, $q$ and $r$ be three distinct prime numbers. Check whether $pqr + q$ is a composite number or not. Further, give an example for three distinct primes $p$, $q$, $r$ such that
                (i) $pqr + 1$ is a composite number
                (ii) $pqr + 1$ is a prime number


                  • 6.

                    From one face of a solid cube of side 14 cm, the largest possible cone is carved out. Find the volume and surface area of the remaining solid.
                    Use $\pi = \dfrac{22}{7}, \sqrt{5} = 2.2$

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