NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.3

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CBSE X Related Questions

  • 1.

    The following data shows the number of family members living in different bungalows of a locality:
     

    Number of Members0−22−44−66−88−10Total
    Number of Bungalows10p60q5120


    If the median number of members is found to be 5, find the values of p and q.


      • 2.
        The number of red balls in a bag is three more than the number of black balls. If the probability of drawing a red ball at random from the given bag is $\dfrac{12}{23}$, find the total number of balls in the given bag.


          • 3.
            Prove that: \[ \frac{\cos \theta - 2 \cos^3 \theta}{\sin \theta - 2 \sin^3 \theta} + \cot \theta = 0 \]


              • 4.
                A box contains 120 discs, which are numbered from 1 to 120. If one disc is drawn at random from the box, find the probability that
                (i) it bears a 2-digit number
                (ii) the number is a perfect square.


                  • 5.

                    On the day of her examination, Riya sharpened her pencil from both ends as shown below.

                    The diameter of the cylindrical and conical part of the pencil is 4.2 mm. If the height of each conical part is 2.8 mm and the length of the entire pencil is 105.6 mm, find the total surface area of the pencil.


                      • 6.

                        Find the mean and mode of the following data:

                        Class15--2020--2525--3030--3535--4040--45
                        Frequency1210151175

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