NCERT Solutions for Class 10 Maths Chapter 14 Statistics Exercise 14.4

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.
        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

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

        • 3.

          In the adjoining figure, TP and TQ are tangents drawn to a circle with centre O. If $\angle OPQ = 15^\circ$ and $\angle PTQ = \theta$, then find the value of $\sin 2\theta$.


            • 4.
              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.


                • 5.
                  The given figure shows a circle with centre O and radius 4 cm circumscribed by \(\triangle ABC\). BC touches the circle at D such that BD = 6 cm, DC = 10 cm. Find the length of AE.
                   BC touches the circle at D such that BD = 6 cm


                    • 6.

                      Find the mean and mode of the following data:

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

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