NCERT Solutions for Class 10 Maths Chapter 14 Statistics Exercise 14.1

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.
      If roots of the quadratic equation \(x^2 - k\sqrt{3}x + 2 = 0\) are real and equal, then value of k is

        • \(-2\)
        • \(\sqrt{\frac{8}{3}}\)
        • \(1\)
        • \(2\)

      • 3.
        The graph of a quadratic polynomial f(x) passes through (5,0), (0, -1) and (-2, 0). The two factors of the polynomial are

          • \((x + 2), (x - 5)\)
          • \((x + 5), (x - 2)\)
          • \((x + 1), (x - 5)\)
          • \((x - 1), (x + 2)\)

        • 4.
          Mean and Median of a frequency distribution are 43 and 40 respectively. The value of mode is

            • 34
            • 43
            • 38.5
            • 41.5

          • 5.
            If the zeroes of the polynomial \(p(x) = 2x^2 - 7x + 6\) are \(\alpha\) and \(\beta\), then the value of \(\frac{1}{\alpha} + \frac{1}{\beta}\) is

              • \(\frac{7}{2}\)
              • \(\frac{6}{7}\)
              • \(\frac{-7}{6}\)
              • \(\frac{7}{6}\)

            • 6.
              There are two sections A and B of Grade X. There are 28 students in Section A and 30 students in Section B. What is the minimum number of books you will acquire for the class library so that they can be distributed equally among students of Section A or Section B ?

                • 144
                • 2
                • 420
                • 272

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