NCERT Solutions for Class 10 Maths Chapter 14 Statistics Exercise 14.3

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.
      Verify that roots of the quadratic equation \((p - q)x^2 + (q - r)x + (r - p) = 0\) are equal when \(q + r = 2p\).


        • 3.
          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.


            • 4.

              Which of the following sequence is \(\textit{not }\)an A.P. ?
               

                • \( 2, \frac{5}{2}, 3, \frac{7}{2}, \dots \)
                • \( -1.2, -3.2, -5.2, -7.2, \dots \)
                • \( \sqrt{2}, \sqrt{8}, \sqrt{18}, \dots \)
                • \( 1^2, 3^2, 5^2, 7^2, \dots \)

              • 5.
                Evaluate : \(\frac{3 \cos^2 30^{\circ} - 6 \csc^2 30^{\circ}}{\tan^2 60^{\circ}}\).


                  • 6.
                    In the adjoining figure, the slant height of the conical part is :

                      • 4 cm
                      • 7 cm
                      • 5 cm
                      • 25 cm

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