Most important mcqs of complete book 11th class statistics,inter class statistics most important objective questions
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Title:11th class statistics,100% Guess complete book important objective questions,1st year class 100% guess,part 4, provided by welcome academy
1)Which of the following indices satisfies both the time reversal and factor reversal tests?
a) Laspeyres' method
b) Paasche's method
c) Marshall- Edge wort's method
d) Fisher's method
2)Circular test is satisfied by :
a) Laspeyres' method
b) Paasche's method
c) Fisher's method
d) None of these
3)To measure how much the cost of some variable changes over time ,you would by
a) A value index
b) An inflation index
c) A quantity index
d) None of these
4)Commodities subject to considerable price variation should best be measured by
a) Quantity index
b) Price index
c) Value index
d) None of these
5)Theoretically best average used in the construction of composit index is
a) The arithmatic mean
b) The geometric mean
c) The median
d) The harmonic mean
6)Which of the following indices has an upward bias ?
a) Laspeyres' index
b) Paasche's index
c) Fisher's index
d) None of these
7)Which is the most suitable average in chain base method ?
a) A.M
b) Median
c) G.M
d) Weighted mean
8)The price used in the construction of consumer price index number are :
a) The retail prices
b) The wholesale prices
c) The fixed prices
d) None of these
9)The consumer price index number is also called:
a) The cost of living index number
b) The retail price index number
c) The wholesale price index number
d) Both a and b
10)Which method of construction of consumer price index number is the Laspeyres' index number ?
a) Aggregate expenditure method
b) Family budget method
c) Both a and b
d) None of these
11)Which of the following price indices are prepared by Fedral Bureau of Statistics?
a) Wholesale price index
b) Consumer price index
c) Sensitive price indicator
d) All of these
12)Which index number has a wide soope?
a) Special
b) General
c) Price
d) Quantity
13)In chain method ,the base period is
a) Fixed
b) Changed
c) Constant
d) None of these
14)Base year weighted index number are
a) Laspeyre's
b) Paasche's
c) Fisher's
d) C.P.I
15)Index for base period is always take as
a) 100
b) One
c) 200
d) Zero
16)If Laspeyre's index number is 200,Paasche's index number is 200,then Fisher's index numbe ris
a) 100
b) 200
c) Zero
d) 1000
17)Price relatives is a ratio of current year price and
a) Base year quantity
b) Previous year quantity
c) Base year price
d) Current year quantity
18)An index that measure the change for a fixed time period is called:
a) Chain base method
b) Fixed base method
c) Simple aggregate method
d) Cost of living method
19)In fixed base method ,the base period should be
a) Far away
b) Normal
c) Unreliable
d) Abnormal
20)How many basic types of index number
a) 2
b) 3
c) 4
d) 5
21)In a fixed method which period is taken always 100
a) Preceding
b) Following
c) Base
d) Current
22)CPI falls in the category of
a) A simple index
b) An aggregative
c) An inflationary index
d) Wholesale price
23)For computing chain index, we compute
a) Price relative
b) Link relative
c) Weighted indices
d) None of these
24)Consumer price index is obtianed by
a) Pasche's formula
b) Fisher's formula
c) Marshall Edgeworth formula
d) Family Budget Method formula
25)Composit index number involves commodities
a) One
b) Two
c) Three
d) More than one
26)If an unweighted average of relatives index (Pn/P0) x 100 is calculated for each product in the composite ,what is then done with these values to finish the calculation?
a) The values are multiplied together
b) The largest value found
c) The values are averaged
d) None of these
27) Link relative is equal to
a) (Pn/Po)x100
b) (Po/Pn)x100
c) (Pn/Pn-1)x100
d) (Pn/Pn)x100
28)How many basic types of index number ?
a) 2
b) 3
c) 4
d) 5
29)When all the commodities are not of equal importance , the index number are called:
a) Simple
b) Un-weighted
c) Weighted
d) Value
30)Arrangement of thing without regard to order is called:
a) Combination
b) Permutation
c) Arrayed data
d) Raw data
31)A person can choose a tie and a suit from 3 suit and 5 tie in
a) 8 ways
b) 15 ways
c) 30 ways
d) None of these
32)
Three seats on a sofa can be occupied by four persons in
a) 12 ways
b) 7 ways
c) 24 ways
d) None of these
33)The number of ways in which a person enters by one door and leaves by a different door in a room with three doors in
a) 9
b) 6
c) 5
d) None of these
34)The number of ways in which four books can be arranged on a shelf is
a) 4
b) 6
c) 24
d) 12
35)How many possible permutations can be formed from the word COMMITTEE
a) 45360
b) 9!
c) 6!
d) None of these
36)In how many ways a team of 4 palyers be choosen from a total 10 persons?
a) 40
b) 210
c) 5040
d) None of these
37) #&If n is the number of elements of a set ,the total number of subsets of this set is :
a) 2n
b) n2
c) 2n
d) n!
38)The number of terms in the expansion of the binomial (p+q)n is
a) n
b) n-1
c) n+1
d) 2n
39) 4C5=
a) 5
b) 1/5
c) None of these
40) A coin and die can be thrown together in
a) 2 ways
b) 12 ways
c) 8 ways
d) None of these
41) 4C3=
a) 4
b) 3
c) 24
d) 1
42)How many possible permutations can be formed from the wood COMMITTEE?
a) 45360
b) 9!
c) 6!
d) None of these
43)If P(A or B) =P(A),then
a) A and b are mutually exclusive
b) The Venn diagram areas for a and V overlap
c) P(A) +P(B) is the joint probability of A and B
d) None of these
44)If one event is unaffected by the outcome of another event, the two events are said to be
a) Dependent
b) Independent
c) Mutually exclusive
d) both b and c
45)Symbolically ,a marginal probability is
a) P(AB)
b) P(A)
c) P(A|B)
d) Both a and b
46)The simple probability of occurrence of an event is called the:
a) Joint probability
b) Conditional probability
c) Marginal probability
d) Subjective probability
47)Why are the outcomes of a coin tossing mutually exclusive ?
a) The outcomes of any toss is not affected by the outcomes of those preceding it
b) Both a head and a tail cannot turn up on any one toss
c) The probability of getting a head and the probability of getting a tail is the same
d) All of these
48)What is the probability that a value chosen at random from a particular population is larger than the median of the population ?
a) 0.25
b) 0.5
c) 1.0
d) 0.67
49)What is the probability that a ball drawn at random form the bag is
a) 0.1
b) 0.4
c) 1.0
d) 2
50)When two dice are rolled ,the number of possible sample points is
a) 6
b) 12
c) 36
d) 48
51)The probability of drawing a king of spade from a pac kof 52 cards is
a) 1/4
b) 1/13
c) 1/26
d) 1/52
52)If a Venn diagram is drawn for wvents A and b which are mutually exclusive ,which of the following would always be true of A and B?
a) Their parts pf the rectangle will overlap
b) Their parts of the rectangle will be equal in area
c) Their parts of the rectangle will not overlap
d) None of these
53)When two coins are tossed simultaneously ,P(one head) is
a) 1/4
b) 1/2
c) 3/4
d) 1.0
54)When three coins are tossed simultaneously ,P(3 heads) is
a) 3/8
b) 1/2
c) 1/4
d) 1/8
55)Theh probability of drawing two aces from a pack of 52 cards with replacement is
a) 1/4
b) 1/16
c) 1/169
d) 1/265
56)For two mutually exclusive events A and B, P(A)=0.2 and P(B)=0.4 then P(A U B) is
a) 0.8
b) 0.2
c) 0.6
d) 0.5
57)The probability of red card out of 52 cards is
a) 1/4
b) 1/2
c) 4/52
d) zero
58)When two coins are tossed simultaneously ,the probability of at most one head is
a) 1/4
b) 1/2
c) 3/4
d) None of these
59)A letter is chosen at random from the word STATISTICS. The probability of getting a vowel is
a) 1/5
b) 3/10
c) 1/2
d) 2/5
60)The probability of getting one red ball from a bag containing 4 red, 3 white and 3 black balls is
a) 3/10
b) 1/5
c) 2/5
d) 1/2
61)The probability of getting two red balls with replacement from a bag containing 4 red, 3 white and 3 black balls is
a) 4/25
b) 1/25
c) 9/100
d) 2/25
62)Ten numbered balls are placed in an urn. Numbers 1_4 are red and number 5_10 are blue. The probability that a ball drawn at random from the urn is blue is ?
For two independent events A and b,P(A)=0.6 and P(B)=0.3.then P(AUB) is
a) 0.9
b) 0.18
c) 0.72
d) None of these
63)Which of the followin gapproach to probability would you apply to solve the problems given afterwards:
a) Classical approach
b) Relative Frequency approach
c) sunjective approach
d) Axiomatic approach
64)The probability of getting an odd number when a balanced die is rolled is :
a) 1/6
b) 1/4
c) 1/2
d) 1/3
65)If P(B|A)=P(B),then a and b are
a) Mutually exclusive
b) Dependent
c) Not mutually exclusive
d) None of these
66)If P(A U B)=P(A)+P(B),then A and B are
a) Mutually exclusive
b) Dependent
c) Not mutually exclusive
d) None of these
67)The probaility of drawing any one spade card is :
a) 1/32
b) 1/13
c) 4/13
d) 1/4
68)In the tossing of two perfect coins the probability at least one head occur is
a) 1/2
b) 1/4
c) 3/4
d) 1
69)When a pair of dice is rolled ,the sum of uppermost dots vary from
a) 0 to 10
b) 1 to 11
c) 2 to 19
d) 2 to 12
70)Which of the following cannot be probability of an event?
a) 1
b) 0.32
c) 1.05
71)The term"event" is used for
a) Time
b) Subset of the sample space
c) Probability
d) Total numbe rof putcomes
72)Tossing two dice possible samples are
a) 36
b) 12
c) 6
d) 2
73)The range of probability is between
a) 0 to 2
b) -1 to +1
c) 0 to infinity
d) 0 to 1
74)Two coins are tossed ,the probability of two tails is equal to
a) 1/4
b) 1/2
c) 3/4
d) 1
75)The probability of an impossible event is
a) Negative
b) Zero
c) Positive
d) 1
76)When two dice are rolled, the maximum total on the two faces of dice will be
a) 6
b) 36
c) 12
d) 2
77)Which is the impossible event when a dice is rolled:
a) 5 or 6
b) 6 or 7
c) 2 or 3
d) 1
78)The result of no interest of an experiment is called:
a) Failure
b) Event
c) Constant
d) Success
79)The collection of all possible outcomes of a random experiment is called:
a) Sample point
b) Sure event
c) Sample event
d) Simple event
80)If A and B are mutually exclusive events the P(A∩B)
a) Zero
b) 1
c) 0.5
d) 0.8
81)Events with equal probabilities are called:
a) Mutually exclusive events
b) Exhaustive events
c) Equally likely events
d) Simple events
82)The probability of an event cannot be
a) =0
b) >0
c) =1
d) <0
83)If two coins are tossed ,the probability of getting one head and one tail is
a) 1/4
b) 2/4
c) 3/4
d) 2/3
84)A measure of the chance that an uncertain event will never occur .
a) An experiment
b) An event
c) A probability
d) A trail
85)When a dice and a coin are rolled together ,all possible outcomes are
a) 6
b) 2
c) 36
d) 12
86)If A and B are mutually exclusive events ,then P(AUB) =P(A) +P(B) .How does the calculation of P(AUB) changes if A and B are not mutually exclusive.
Assume that a single fair die is rolled once. Which of the following is true ?
a) The probability of rolling a number is greater than '1' is 1-P ('1' is rolled)
b) The probability of rolling a '3' is 1-P (1,2,4,5, or 6 is rolled)
c) The probability of rolling a '5'or '6' is higher than the probability of rolling a '3' or '4'
d) Both a and b
87)P(A∩B) = P(A|B) P(B) ,then A and B are
a) Independent
b) Mutually exclusive
c) Dependent
d) None of these
88) If P(B|A)=0.25 and P(A∩B) =0.20 ,the P(A) is
a) 0.05
b) 0.8
c) 0.95
d) 0.75
89)If P(A) =1/3 ,P(B)=2/3 if A and B are independent then P(A∩B) is
a) 2/6
b) 2/9
c) 1/9
90)A student solved 25 questions from first 50 questions of a book too be solved .The prob. that he will solve remaining all questions
a) 0.25
b) 0.5
c) 1
91)Two events A and B are rolled mutually exclusive if
a) A U B=Ï•
b) A ∩ B=Ï•
c) A∩B=S
d) A∩B=1
92)The expected value of a discrete random variable is
a) Always integers
b) Always one of the values that the random variable can assume
c) An interval of values
d) None of these
93)If X and Y are independent random variable ,then E(XY) is equal to
a) E(XY)
b) E(X)E(Y)
c) XE(Y)
d) YE(X)
94)In a discrete probability distribution the sum of all the probabilities is always
a) 1
b) -1
c) Infinity
95)Probability density function is the probability function of random variables .
a) Continuous
b) Discrete
c) Qualitative
d) None of these
96)Random numbers are generated from the single digit numbers :
a) {1,2,3,. . . ,10}
b) {0,1,2,. ,10}
c) {0,1,2,. }
d) {0,1,2,. ,9}
97)Given Var(X)=3 and Var(Y)=5, If X and Y are independent variables then Var(X-Y)=
a) -2
b) 8
c) 24
d) 2
98)For a random variable X P(x) is equal to
a) Zero
b) 1
c) Greater than 1
d) Less than 1
99) E(X- )2 =
a) Zero
b) S.D
c) Variance
d) Mean deviation
100) If Yi=aXi+b,where a and b are may two constant the Var(y)=
a) a Var(X)+b
b) Var(X)+b
c) a2Var(X)
d) aVar(X)
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