F.Y.B.COM Mathematical and Statistical Techniques MCQ PDF

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Mathematical and Statistical Techniques

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1.    A ₹ 10 share at 10% premium has a market price of ₹

a.    20

b.    0

c.    9

d.    11

ANS: 11

 

2.    A company declared an annual dividend of 7%. What is annual dividend of Mr. Mehta if he owns 250 shares of company of face value ₹100 each. (Face value of 250 shares= ₹25000)

a.    1750

b.    20

c.    250

d.    2000

ANS: 1750

 

3.    A dice is thrown what is probability of getting an even prime number

a.    1/6

b.    1

c.    1/3

d.    1/2

ANS: 1/6

 

4.    A mutual funds showed a change of 35% during the year 2011-12. if the NAV on 1-April-2011 was ₹70, then what is NAV on 31- March-2012

a.    45.5

b.    124.5

c.    94.5

d.    24.5

ANS: 94.5

 

5.    A share at 10% premium then what is it's market price

a.    90

b.    110

c.    200

d.    100

ANS: 110

 

6.    Arithmetic mean of 10 observation where sum of the 10 observation is 360 is given by

a.    36

b.    350

c.    3600

d.    20

ANS: 36

 

7.    For the given pay-off table what is best course of action on the basis of Maximax Criteria Act\ state of nature: P Q R A 23 12 10 B 10 20 30

a.    A

b.    R

c.    B

d.    C

ANS: B

 

8.    For the given pay-off table what is best course of action on the basis of Maximin Criteria Act\ state of nature: P Q R A 10 30 40 B 10 20 50

a.    B

b.    P

c.    C

d.    A

ANS: A

 

9.    From a pack of well shuffled deck in how many ways we select two face cards

a.    12

b.    1

c.    6

d.    4

ANS: 6

 

10. How many 4-digit number can be form by using 2,4,5,7,8 and 9

a.    90

b.    300

c.    360

d.    100

ANS: 360

 

11. how many different words can be formed by using letters of words "TABLE"

a.    120

b.    25

c.    1

d.    5

ANS: 120

 

12. If P(A)= 0.4, P(B)= 0.6 and P(A ꓵB) = 0.24 then what is P(A/B)

a.    0

b.    0.6

c.    1

d.    0.4

ANS: 1

 

13. If A and B are two independent event then what is the probability of P (A U B) where P(A)= 0.3 and P(B)= 0.4

a.    0.12

b.    0

c.    1.2

d.    1

ANS: 0.12

 

14. If a share is available at par value, then its market value is

a.    equal to it's dividend

b.    100

c.    10

d.    equal to it's face value

ANS: equal to it's face value

 

15. If arithmetic mean of group I is 25 of size 10 and arithmetic mean of other group II is 35 of size 15 then what is the combined mean of group size 25

a.    525

b.    775

c.    31

d.    29

ANS: 31

 

16. If Coeifficient of mean deviation is 0.8 and arithmetic mean is 150 then what is the value of mean deviation

a.    1.2

b.    18750

c.    120

d.    187.5

ANS: 120

 

17. If E(x) = 2.5 then what is E(5x-7)

a.    55.5

b.    69.5

c.    5.5

d.    19.5

ANS: 5.5

 

18. If P(A U B ) = 0.8, P(A) = 0.8, P(B) = 0.5 what is P(A ꓵB)

a.    0.3

b.    0

c.    0.8

d.    0.5

ANS: 0.5

 

19. If P(AU B)= 0.35 the what is P(AUB)'

a.    0.25

b.    1

c.    1.35

d.    0.65

ANS: 0.65

 

20. If Smallest value of observation is 20 and highest value is 80 then what is coefficient of range

a.    2

b.    30

c.    0.5

d.    100

ANS: 0.5

 

21. If Standard deviation is 25.8 and arithmetic mean is 60 the what is coefficient of variation

a.    43

b.    90

c.    232.56

d.    15.48

ANS: 43

 

22. If two coins are tossed simultaneously what is the probability of getting both as tail

a.    3/4

b.    1/4

c.    4

d.    1/2

ANS: 1/4

 

23. If weighted mean of the items : food , clothing, rent, others is 600 and Σwx = 9000 then what is sum of the weights of the given items

a.    150

b.    15

c.    6

d.    1000

ANS: 15

 

24. In decision making which of the following criteria come under uncertainty with probability

a.    Maximin

b.    EMV

c.    Maximax

d.    Minimax

ANS: EMV

 

25. In decision tree which criteria is using to find the best course of action

a.    Maximin

b.    EMV

c.    Laplace

d.    EOL

ANS: EMV 

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