NCERT Solutions for Class 10 Maths Chapter 14 Statistics Exercise 14.1

CBSE X Related Questions

  • 1.
    The system of equations $2x + 1 = 0$ and $3y - 5 = 0$ has

      • unique solution
      • two solutions
      • no solution
      • infinite number of solutions

    • 2.
      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.


        • 3.
          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


            • 4.
              OAB is sector of a circle with centre O and radius 7 cm. If length of arc \( \widehat{AB} = \frac{22}{3} \) cm, then \( \angle AOB \) is equal to

                • \( \left(\frac{120}{7}\right)^\circ \)
                • \( 45^\circ \)
                • \( 60^\circ \)
                • \( 30^\circ \)

              • 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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