June 26, 2019

MCQ - Probability - Class 10 - By Mr Anjan Kr. Thakur

Here are 45 objective questions on Probability prepared by Mr. Anjan Kumar Thakur who is a mathematics teacher at  L K Singhania School, Ghotan (Rajasthan),


                                                                                 MCQ –

1.       On rolling a die, how many outcomes we may have?
a.       3
b.       6
c.       7
d.       9

2.       Tossing 2 coins together the outcomes are –
a.       (H,T)
b.       (H,H), (T,T )
c.       ( T,H )
d.       All of these

3.       Which of the following is not a suit of a deck of playing cards ?
a.       Diamond
b.       Club
c.       Hearts
d.       Wine

4.       The probability any event can’t be greater than –
a.       ½
b.       ¾ 
c.       0
d.       1

5.       If P(E) = 0, it will be –
a.       A random event
b.       A sure event
c.       A impossible event
d.       A scheduled event

6.       If a coin is tossed once , what will be the probability of getting a HEAD is
a.       0
b.       ½
c.       1
d.       ¾

7.       What is the probability of getting a joker in a well shuffled deck of 52 playing cards –
a.       2/52
b.       1/52
c.       ½
d.       0

8.       What is the probability of getting a queen in a well shuffled deck of  playing cards –
a.       1/52
b.       1/13
c.       1/26
d.       4/13

9.       What is the probability of getting a prime number by rolling a fair die once –
a.       5/6
b.       ½
c.       ¾
d.       ¼

10.   What is the probability of getting a perfect  number by rolling a fair die once –
a.       1/6
b.       2/6
c.       1
d.       0

11.   What is the probability of getting a perfect square  number by rolling a fair die once –
a.       1
b.       2/6 0r 1/3
c.       0
d.       ½

12.   One card is drawn from a well shuffled deck of 52 cards. What is the probability of getting a face card 
a.       1/13
b.       4/13
c.       1/52
d.       3/13

13.   Which of the following is not a face card ?
a.       Ace
b.       King
c.       Queen
d.       Jack

14.   One card is drawn from a well shuffled deck of 52 cards. What is the probability of getting a Seven card 
a.       4/13
b.       1/13
c.       4/26
d.       1

15.   One card is drawn from a well shuffled deck of 52 cards. What is the probability of getting a red  card 
a.       ¼
b.       1
c.       ½
d.       0

16.   One card is drawn from a well shuffled deck of 52 cards. What is the probability of getting a queen of heart  card 
a.       1/13
b.       5/52
c.       1/26
d.       1

17.   A bag contains 5 balls of green colour, 7 balls of red colour and 13 balls of yellow colour. A ball is randomly picked up from the bag find the probability of getting a ball of red colour?
a.       13/20
b.       7/25
c.       10/25
d.        20/25
   
   18.   If the probability of the occurrence of an event be 3/7 what will be the probability of non-occurrence of the same event –
a.       1/7
b.       2/7
c.       4/7
d.       5/7

     19.   One card is drawn from a well shuffled deck of 52 cards. What is the probability of getting a king 
a.       1/13
b.       2/52
c.       10/52
d.       None of the above

20.   One card is drawn from a well shuffled deck of 52 cards. What is the probability of getting a non-face card   
a.       48/52
b.       10/13
c.       16/52
d.       54/52

21.   Which of the following number can’t be the probability of any event ?
a.       2/3
b.       ¾
c.       8/7
d.       ½
e.       0
22.   There are 100 cards on which the numbers from  1 to 100 is printed on them. Find the probability of getting ZERO if any one card is drawn after fairly reshuffling them –
a.       1/100
b.       2/100
c.       11/100
d.       NOTA

23.   In tossing two coins together what is the probability of getting 2 heads ?
a.       ½
b.       ¼
c.       ¾
d.       1

24.   In the above case find the probability of getting at least 1 tail –
a.       1
b.       ½
c.       ¾
d.       ¼

   25.   In a well shuffled deck of 52 cards what is the probability of getting a RED card if one card is drawn randomly ?
a.       ½
b.       1/13
c.       2/13
d.       ¼

26.   In a throw a pair of dice, what is the probability of getting a doublet -
a.       ¼
b.       5/6
c.       1/6
d.       14/36

27.   One card is drawn from a well shuffled deck of 52 cards. What is the probability of getting a queen or a black card 
a.       1/2
b.       28/52
c.       24/26
d.       4/52
28.   One card is drawn from a well shuffled deck of 52 cards. What is the probability of getting neither  queen or a king 
a.       11/13
b.       10/13
c.       15/26
d.       NOTA
29.   A bag contains 6 red balls and 14 white balls find the probability of getting 1 white ball if randomly a ball be chosen –
a.       3/10
b.       7/10
c.       13/20
d.       7/20

30.   In a wheel of fortune there are 1 to 10 numbers printed on it. If I win after getting any perfect square number, find the probability of my victory ?
a.       7/10
b.       3/10
c.       1/10
d.       9/10

31.   Find the probability of getting the smallest positive integer –
a.       1
b.       ½
c.       0
d.       NOTA

32.   Find the probability of getting the biggest natural number 
a.       1
b.       ½
c.       0
d.       NOTA

33.   In a class there are 20 girls and 15 boys, find the probability of getting a boy if a student be randomly selected –
a.       3/7
b.       4/7
c.       15/20
d.       5/15

34.   The probability of a sure event is
a.       ½
b.       ¾
c.       1/1000
d.       1

35.   The probability of an impossible  event is
a.       ½
b.       ¾
c.       1/1000
d.       1

36.   If the probability of an event A be ¼ and that of event B be ¾ , then both the events A and B are called –
a.       Sure event
b.       Impossible event
c.       Complementary event
d.       Supplementary event

37.   A die is thrown once , what is the probability of getting a perfect cube number ?
a.       ½
b.       ¼
c.       1
d.       1/6

38.   A die is thrown once , what is the probability of getting a composite  number ?
a.       ½
b.       1/3
c.       ¼
d.       1/6

39.   If a pair of dice be thrown , what is the probability of getting a sum greater than 10 of numbers appearing of both dice –
a.       5/36
b.       1/12
c.       4/36
d.       10/30

40.   A coin has ……. Faces .
a.       1
b.       2
c.       0
d.       3

41.   How many suits are there in a deck of playing cards ?
a.       1
b.       2
c.       3
d.       4

42.   How many faces does a die have ?
a.       1
b.       2
c.       4
d.       6

43.   P(E) indicates –
a.       Total outcome
b.       Favourable outcome
c.       Probability of occurrence of favourable events
d.       NOTA

44.   Getting a number less than 7 is a –
a.       Sure event
b.       Random event
c.       Impossible event
d.       Complementary event

45.   If 3 coins be tossed once together find the probability of getting all HEADS –
a.       ½
b.       ¼
c.       1/8
d.       1

June 12, 2019

Linear Equation in two variables - Class 10 - MCQ- by Dr Rajesh Kumar Thakur



Linear Equation in Two Variable
1.      Fill in the blank
a)      A system of simultaneous linear equations is said to be constant, if it has at least ------------ solution.  (one)
b)      A system of simultaneous linear equations is said to be in-consistent if it has ---------- solution. (no)

c)       The graphical representation of the system of linear equations will be ------ if it is consistent with unique solution. (intersecting)
d)      The graphical representation of the system of linear equations will be ------ if it is consistent with infinite many solutions. (parallel)

2.      The system of equations 3x – 5y = 20 and 6x - 10y = 40 has -                                                        
   a) one solution                b) exactly two solutions                                             
c) infinite many solutions            d) no solutions

3.      For what value of k, do the equations 3x – y + 8 = 0 and 6x – ky + 16 = 0 represent coincident lines?                                                                                                                                  
  A) ½                 b) -1/2                   c) 2                  d) -2

4.      The value of k for which the system of equations kx – y = 2 and 6x – 2y = 3 has a unique solution is                                                                                                                                  
   a) -= 3              b) 3                      c) 0                d) = 0

5.      If the system of equations 2x + 3y = 7 and (a + b)x + (2a – b) y = 21 has infinite many solutions, then -                                                                                                                             
       a) a = 1, b = 5                           b) a = 5, b = 1                                                      
        c) a = -1, b = 5                          d) a = 5, b = -1

6.      The value of k for which the system of equations x + 2y = 5 and 3x + ky + 15 = 0 has no solution is                                                                                                                                          
       a) 6                  b) -6                 c) 3/2               d) none of these

7.      The area of triangle formed by the line x/a + y/b = 1 with the co-ordinate axes is    
                       a) ab                        b) 2ab              c) ½ ab             d) ¼ ab

8.      The area of triangle formed by the lines x = 3, y = 4 and x = y is -                      
                               a) ½ sq. unit            b) 1 sq. unit     c) 4 sq. unit      d) none of these

9.      The line 3x + 2y = 12 meets x- axis at
a)      (0,1)                       b) (4,0)             c) (2,3)             d) (0,6)

10.   The solution of the system of equations x – y + 1 = 0 , 3x + 2y – 12 = 0 is -               
                       a) (0,1)                             b) (4, 0)            c) (2, 3)            d) (0,6)


Note :- Answer written with red colour

Dr Rajesh Kumar Thakur

WORLD PI DAY (14th March 2026) QUIZ

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