NCERT Solutions for Class 10 Maths Chapter 13 Exercise 13.1

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NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volume Exercise 13.1 Solutions are based on the following concepts:

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CBSE X Related Questions

  • 1.
    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


      • 2.
        Find the zeroes of the polynomial: \[ q(x) = 8x^2 - 2x - 3 \] Hence, find a polynomial whose zeroes are 2 less than the zeroes of \(q(x)\)


          • 3.
            A peacock sitting on the top of a tree of height 10 m observes a snake moving on the ground. If the snake is $10\sqrt{3}$ m away from the base of the tree, then angle of depression of the snake from the eye of the peacock is

              • $60^\circ$
                 

              • $45^\circ$
              • $30^\circ$
              • $90^\circ$

            • 4.

              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

              • 5.

                In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.


                  • 6.

                    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.

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