NCERT Solutions for Class 10 Maths Chapter 14 Statistics Exercise 14.4

CBSE X Related Questions

  • 1.
    Assertion (A) : \((\sqrt{3} + \sqrt{5})\) is an irrational number.
    Reason (R) : Sum of the any two irrational numbers is always irrational.

      • 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 Assertion (A).
      • Assertion (A) is true, but Reason (R) is false.
      • Assertion (A) is false, but Reason (R) is true.

    • 2.
      A trader has three different types of oils of volume \(870 \text{ l}\), \(812 \text{ l}\) and \(638 \text{ l}\). Find the least number of containers of equal size required to store all the oil without getting mixed.


        • 3.
          Three tennis balls are just packed in a cylindrical jar. If radius of each ball is \(r\), volume of air inside the jar is

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

          • 4.
            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

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

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


                • 6.
                  If \(PQ\) and \(PR\) are tangents to the circle with centre \(O\) and radius \(4 \text{ cm}\) such that \(\angle QPR = 90^{\circ}\), then the length \(OP\) is

                    • \(4 \text{ cm}\)
                    • \(4\sqrt{2} \text{ cm}\)
                    • \(8 \text{ cm}\)
                    • \(2\sqrt{2} \text{ cm}\)

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