Mathematics Questions

Browse 1,240 Mathematics questions with expert-verified, step-by-step solutions — NCERT, exemplar and previous-year questions, organised by chapter.

1. Q701
   While computing ​mean of grouped data, ​we assume ​that ​the ​frequencies are

   1. (a)evenly distributed over all the classes
   2. (b)centred at the classmarks of the classes
   3. (c)centred at the upper limits of the classes
   4. (d)centred at the lower limits of the classes
   Open question → 🔒 Log in to view the solution
2. Q702
   If $x_i$'s are the mid points of ​the ​class intervals ​of ​grouped data, $f_i$'s are the corresponding ​frequencies ​and $\bar{x}$ is ​the mean, ​then $\sum (f_i{x}_i-\bar{x})$ is equal to

   1. (a)$0$
   2. (b)$-1$
   3. (c)$1$
   4. (d)$2$
   Open question → 🔒 Log in to view the solution
3. Q703
   In the ​formula $\bar{x}=a+h\frac{\sum f_i{u}_i}{\sum f_i}$, ​for ​finding the ​mean of ​grouped ​frequency ​distribution, $u_i=$

   1. (a)$\frac{x_i+a}{h}$
   2. (b)$h(x_i-a)$
   3. (c)$\frac{x_i-a}{h}$
   4. (d)$\frac{a-x_i}{h}$
   Open question → 🔒 Log in to view the solution
4. Q704
   The abscissa of ​the point of intersection of ​the less than type and of ​the ​more than type ​cumulative frequency curves of a grouped data ​gives its

   1. (a)mean
   2. (b)median
   3. (c)mode
   4. (d)all the three above
   Open question → 🔒 Log in to view the solution
5. Q705
   For the following distribution, the sum of lower limits ​of ​the ​median ​class ​and ​modal ​class is

   1. (a)$15$
   2. (b)$25$
   3. (c)$30$
   4. (d)$35$
   Open question → 🔒 Log in to view the solution
6. Q706
   Consider the ​following ​frequency ​distribution. The ​upper limit of the median class ​is

   1. (a)17
   2. (b)17.5
   3. (c)18
   4. (d)18.5
   Open question → 🔒 Log in to view the solution
7. Q707
   For ​the ​following ​distribution, ​the modal ​class is

   1. (a)$10$-$20$
   2. (b)$20$-$30$
   3. (c)$30$-$40$
   4. (d)$50$-$60$
   Open question → 🔒 Log in to view the solution
8. Q708
   Consider the ​following frequency distribution. ​The ​difference of the upper ​limit of ​the median class ​and the lower ​limit of the modal class ​is

   1. (a)$0$
   2. (b)$19$
   3. (c)$20$
   4. (d)$38$
   Open question → 🔒 Log in to view the solution
9. Q709
   Consider ​the ​data: The difference ​of the ​upper limit ​of the median ​class and ​the lower limit of the modal class is

   1. (a)$0$
   2. (b)$19$
   3. (c)$20$
   4. (d)$38$
   Open question → 🔒 Log in to view the solution
10. Q710
    The times, in seconds, taken by $150$ ​athletes to ​run a $110$ m ​hurdle race ​are tabulated below. ​The ​number of athletes ​who completed the race in less ​than 14.6 seconds is

    1. (a)$11$
    2. (b)$71$
    3. (c)$82$
    4. (d)$130$
    Open question → 🔒 Log in to view the solution
11. Q711
    Consider ​the ​following ​distribution: ​the ​frequency ​of ​the ​class 30-40 is

    1. (a)3
    2. (b)4
    3. (c)48
    4. (d)51
    Open question → 🔒 Log in to view the solution
12. Q712
    If ​an event ​cannot ​occur, ​then ​its ​probability is

    1. (a)1
    2. (b)$\frac{3}{4}$
    3. (c)$\frac{1}{2}$
    4. (d)0
    Open question → 🔒 Log in to view the solution
13. Q713
    Which ​of ​the ​following cannot be the ​probability of an ​event?

    1. (a)$\frac{1}{3}$
    2. (b)$0.1$
    3. (c)$3\%$
    4. (d)$\frac{17}{16}$
    Open question → 🔒 Log in to view the solution
14. Q714
    An event ​is ​very unlikely to ​happen. Its ​probability ​is ​closest ​to

    1. (a)0.0001
    2. (b)0.001
    3. (c)0.01
    4. (d)0.1
    Open question → 🔒 Log in to view the solution
15. Q715
    If the ​probability ​of an event is $p$, ​the probability of its complementary ​event ​will ​be

    1. (a)$p-1$
    2. (b)$p$
    3. (c)$1-p$
    4. (d)$1-\frac{1}{p}$
    Open question → 🔒 Log in to view the solution
16. Q716
    The probability ​expressed as ​a percentage of ​a particular ​occurrence can never be

    1. (a)less than 100
    2. (b)less than 0
    3. (c)greater than 1
    4. (d)anything but a whole number
    Open question → 🔒 Log in to view the solution
17. Q717
    If $P(A)$ ​denotes the ​probability ​of ​an ​event $A$, ​then

    1. (a)$P(A)<0$
    2. (b)$P(A)>1$
    3. (c)$0\le P(A)\le 1$
    4. (d)$-1\le P(A)\le 1$
    Open question → 🔒 Log in to view the solution
18. Q718
    A card ​is selected from ​a ​deck ​of 52 cards. The probability of its ​being a ​red face ​card is

    1. (a)$\frac{3}{26}$
    2. (b)$\frac{3}{13}$
    3. (c)$\frac{2}{13}$
    4. (d)$\frac{1}{2}$
    Open question → 🔒 Log in to view the solution
19. Q719
    The probability that a non ​leap ​year ​selected at ​random ​will ​contain 53 Sundays is

    1. (a)$\frac{1}{7}$
    2. (b)$\frac{2}{7}$
    3. (c)$\frac{3}{7}$
    4. (d)$\frac{5}{7}$
    Open question → 🔒 Log in to view the solution
20. Q720
    When ​a die is thrown, the probability ​of getting ​an odd number ​less ​than $3$ is

    1. (a)$\frac{1}{6}$
    2. (b)$\frac{1}{3}$
    3. (c)$\frac{1}{2}$
    4. (d)$0$
    Open question → 🔒 Log in to view the solution