NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.4

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CBSE X Related Questions

  • 1.
    Using prime factorisation, find the HCF of 144, 180 and 192.


      • 2.

        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.


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


              • 4.

                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.


                  • 5.

                    Two identical cones are joined as shown in the figure. If radius of base is 4 cm and slant height of the cone is 6 cm, then height of the solid is

                      • 8 cm
                      • \(4\sqrt{5}\) cm
                      • \(2\sqrt{5}\) cm
                      • 12 cm

                    • 6.
                      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

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