Download UNIVERSITY OF CALICUT General (Common) Course of BCom/BBA/BMMC BASIC NUMERICAL SKILLS Module 1

School of Distance Education
UNIVERSITY OF CALICUT
SCHOOL OF DISTANCE EDUCATION
General (Common) Course of BCom/BBA/BMMC
(2014 Admn. onwards)
III SEMESTER- CUCBCSS
QUESTION BANK
BASIC NUMERICAL SKILLS
Module 1
1. George cantor is the
a)
Father of Mathematics
b)
Father of statistics
c)
Father of Set Theory
d)
None
2. Which method is also known as tabular method
a) Roster method
b)
c)
Both a and b
Set builder form
d)
None
3. Which is also known as property method
a)
Roster method
b)
Set builder method
c)
Both a and b
d)
None
4. A set with no elements is a
a)
Null set
b)
Finite set
c)
Infinite set
d)
None
5. A set which is empty (or) consists of a definite number of elements is called
a)
Null set
b)
Finite set
c)
Infinite set
d)
None
6. Two set A and B are said to be equal if they have exactly the same elements and we write it
a) A ≠ B
b) A = B
c) A € B
d) None
7. Two finite sets A and B are said to be equivalent set if cardinality of both sets are
a) Equal
b) Not equal
c)
Similar
d)
none
8. Which of the following are examples of null set
a) Set of even prime numbers
Set of odd natural numbers divisible by
c)
2
b)
Set of letters in English alphabets
d)
All the above
9. In the following state whether A=B
a)
A= {4,8,12,16} B = {8,4,16,18}
b)
c)
A= {a, b, c, d} B = {d, c, b, a}
d)
A= {x : x is a multiple of 10 }
B= {10, 15, 20, 25 ….}
None
10. A set ‘A’ is said to be a subset of a set B if every element of A is
a) Also an element of A
b) Also an element of B
c)
Not an element of B
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d)
Not an element of A
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11. In plane geometry, the set consists of all points in a plane is an eg. For

€
b)
a)
Commutative law
b)
c)
Idempotent law
d)
a)
c)
12. A  ∅= A
d)
13. In set builder form {X : X ∈ A or X ∈ B} denotes
a) A  A
b)
A ∅A
d)
a)
Commutative law
b)
Associative law
c)
Idempotent law
d)
Distributive law
14. A  A = A
15. If A  B = ∅ means
a)
A and B are union
b)
A and B are disjoint
c)
A and B are intersected
d)
None
b)
ab – cd
d)
bc - ad
16. The Value of determinant
18.
a
b
0
−a
Law of 
Law of identity element
AA
None
c)
17.

∅
a)
ad – bc
c)
bd – ac
a
c
b
is
d
is =
a)
ab
b)
0
c)
a
2
d)
b
The Value of the determinant
a)
2
c)
38
5
3
6
is ______
4
b) - 2
d)
- 38
19. if the rows and columns of determinant are interchanged, the determinate value ………………….
a)
Remains the same
b)
The sign of the value is changed
c)
Becomes zero
d)
None
2
20. Value of the determinate 4
6
a) 0
c)
Negative integer
1
2
3
3
6 is
9
b) Positive integer
d)
Not obtainable
21. A matrix with equal number of rows and colume is called
a) Square matrix
b) Column
c)
Row
d)
none
22. A matrix in which every element is Zero
a)
Unit
b)
Diagonal
c)
Scalar
d)
Null
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23. A square matrix in which all the laments except those in leading diagonal are zero is called
……………. Matrix
a)
Zero
b)
Null
c)
Diagonal
d)
None
24. A………… is matrix which has only one column
a) Column
b)
c)
Diagonal
d)
Row
Square
25. A square matrix in which elements in the diagonal are1 and rest is all zero is called
a)
Diagonal matrix
b)
Zero matrix
c)
Identity matrix
d)
none
26. If all elements in the matrix are zero then it is
a) Diagonal matrix
b)
c)
Identity matrix
d)
Square matrix
Zero matrix
27. The sum of two matrices is a matrix obtained by adding ………………... elements of the given
matrices
a)
Corresponding
b)
Opposite
c)
Same
d)
none
28. A (B+C) = AB + AC is a
a)
Associative law
b)
Cumulative law
c)
Distributive law
d)
Corresponding law
29. The transpose of a matrix A is denoted by
a)
A
t
b)
A
c)
A(x)
d)
None
30. A rectangular matrix does not possess
a)
Inverse matrix
b)
Square matrix
c)
Zero matrix
d)
None
Module II
31. The solution of the equation 4 =2/3 x is …………..
a)
6
b)
12
c)
8
d)
16
2
32. The equations x
+ 4 =0 is a …………
a)
Quadratic equation
b)
Cubic equation
c)
Simple equation
d)
None
2
33. Equation ax + b = 0
a)
Pure quadratic equation
b)
General quadratic equation
c)
Not a quadratic equation
d)
None
2
34. The root of the eqn 3x -1 = 0 are ………
a) Irrational
c)
Rational
b)
Imaginary
d)
integer
2
35. x - 4 = 0 implies x =………..
a)
2
b)
-2
c)
±2
d)
None
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2
36. ………….. is one of the solutions to the equation 3x - 4x+1 =0
a)
x = -1
b)
x=1
c)
x=2
d)
x=0
2
37. The expression b - 4ac is called ………… of the quadratic eqn.
a) Discriminant
b) Roots
c)
Characteristics
d)
solution
38. If the discriminant of a quadratic eqn is zero, the roots are
a)
Real and equal
b)
Real and unequal
c)
Complex
d)
Nothing
2
39. Quadratic eqn ax + bx + c = 0 has equal roots if
a) b - 4ac < 0
b)
c)
b - 4ac = 0
b - 4ac > 0
d)
b - 4ac = 1
40. Eqn y = 2x+5 has
a)
No solution
b)
One solution
c)
3 solutions
d)
Infinite solutions
41. X = 4 + 8y is
a) Quadratic
b)
Linear
c)
d)
none
Exponential
42. ………………. satisfies the eqn x +y +1 = 0
a)
(x = 0 , y = 0 )
b)
( x = 1, y = - 2 )
c)
( x= 0 , y = 1)
d)
(x = -2, y = 2)
43. Simultaneous eqns means a set of eqn in …….. unknowns
a) One
b) Two
c)
Three
d)
Any number
44. …………….. are mathematical statements that contains one or more derivatives
a)
Sets
b)
Linear eqn
c)
Equation
d)
None
45. It is an eqn is one or more variables where each terms degrees is not more than I is
a) Simultaneous eqn
b) Linear eqn
c)
Eqn
d)
none
46. …………… are a set of eqn containing multiple variables
a)
Simultaneous eqn
b)
Linear eqn
c)
Eqn
d)
none
47. Elimination by judicious multiplication is the other commonly used method to solve
a) Simultaneous eqn
b) Linear eqn
c)
Simultaneous linear eqn
d)
none
48. The term “Quadratic” comes from
a)
Quadratis
b)
Quadratice
c)
Quadratus
d)
None
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49. Quadratics eqn is an eqn in which the highest power of the variables is
a)
1
b)
2
c)
3
d)
None
50. ………… means to rewrite the quadratic eqn into multiplication form
a) Graphing
b) Completing the square
c)
Factoring
d)
None
51. The formula used for finding the roots of a quadratics eqn is known as
a)
Completing the square
b)
Factoring
c)
Quadratic formula
d)
none
52. A quadratic eqn with real (or) complex coefficients has 2 solutions called
a) Roots
b) Eqn
c)
Formula
d)
None
53. Break even point is
a)
No sales no production
b)
No profit no loss
c)
Above targeted profit
d)
None
b)
Profit = Loss
d)
None
54. At market equilibrium
a) Demand = Supply
c)
Sales = forecast
55. R(x) ==C(x) denotes
a)
Profit function
b)
Market equilibrium
c)
BEP
d)
None
Module III
56. A series obtained by adding a constant number to its preceding terms is
a)
GP
b)
AP
c)
GP or AP
d)
None
57. A sequence is called infinite if it is not a
a)
Finite sequence
b)
AP
c)
Progressions
d)
None
58. Sequences following specific patterns are called
a)
Progressions
b)
finite sequence
c)
Infinite sequence
d)
None
59. The various numbers occurring in a sequence are called
a)
Progressions
b)
Elements
c)
Terms
d)
None
60. A sequence containing finite number of terms is called
a)
Finite sequence
b)
Infinite
c)
Terms
d)
none
a)
a + (n -1 ) 2d
b)
a +(n -1 ) d
c)
a + (d -1 ) n
d)
none
61. tn in AP is
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62. to find sum of A.P. Sn =
a)
n/2 [2a + (n -1)d]
b)
n/2 [2a + d]
c)
n/2 [2a +(n-1)]
d)
None
th
63. Find the 7 term of series 1,4,7………………
a) 22
b)
c)
16
d)
19
25
th
64. Find the 10 term of the series 4, 2, 0, -2………..
a)
-12
b)
-10
c)
-8
d)
-14
b)
59
d)
None
65. If 2, 5, 8……….. is A.P the t 20 is
a) 60
c)
58
66. d of the A.P. 4, -8, -20……..
a)
-4
b)
12
c)
-12
d)
-8
b)
-1
d)
2
67. d of the A.P. 1,-1,-3,-5,…………….. is
a) 1
c)
-2
th
68. If the N term of an A.P. is 4n-1 then the d is
a)
3
b)
4
c)
1
d)
0
69. Given the term in the sequence 1,3,7,15,31 next is …………….
a) 62
b) 63
c)
46
d)
66
70. Find x if the number x ,7,28 from a GP
a)
4
b)
0
c)
7/4
d)
4/7
71. The sum of an in finite G.P. is
, where ‘r’ is
a)
Numerically less than 1
b)
Equal to 1
c)
±1
d)
Any value
72. Sum of n terms of a G.P is given by
where r is
a)
Greater than 1
b)
Equal to 1
c)
Less than 1
d)
Numerically greater than 1
th
73. If a is the first term and r is the common ratio then the n term of the GP is
n
a)
a(1-r)
b)
c)
ar
n-1
d)
a (1 –r )
− 1
−1
74. Find the common ratio of the following 9,6,4
a)
3
b)
2
c)
2/3
d)
none
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75. If a b c are in G P then b is
+
2
a)
ac
b)
c)
a+ c
d)
76. 9, 6, 4……………….. is a ……….
a) A.P
√
b)
G.P
d)
None
c)
A.P or G.P
77. If 2, x , 8 are the successive terms of a GP.the value of x is
a)
5
b)
4
c)
-4
d)
±4
78. Common ratio of the G.P. 1, 1/3,1/9,1/27 …………….is
a)
3
b)
1/3
c)
1/6
d)
6
b)
ab
d)
a+b
79. The A M of a and b is ……..
+
a)
2
c) √
80. The sum of the value of 1,2,………………20 is
a)
500
b)
210
c)
420
d)
520
81. The sum n term of an A P with first term a and common difference d is
a) Na
b) n/2 [2a +(n-1)d]
− 1
c) A + (n-1)d
d)
−1
82. The sum of n terms of an A.P. whose first term and last term are knows as …
a)
n/2 (a +1 )
b)
n/2 ( a +nd)
c)
n/2 ( 2a +1n )
d)
None
83. The sum at the end of 2 years for 1000 at 10% p.a. compounded yearly
a)
100
b)
210
c)
1100
d)
1210
84. Simple interest for a sum of Rs 500 for 2 year at the rate of 8% p a is
a)
580
b)
420
c)
80
d)
16
85. Compound interest for Rs 25,000/-at the rate of 12% p a for 5years is
a)
17623
b)
44058
c)
19058
d)
15000
n
86. The formula p (1+r/100) gives ……….
a)
The sum at the end of n year
b)
CI at the end of n years
c)
Present value
d)
None
87. The sum at the end of 4 years for Rs 100 at 10% p a C I payable quarterly is
a)
c)
100(1.1)
3
100(1.025)
Basic Numerical Skills
b)
16
d)
100(1.025)
100(1.1)
4
4
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88. If is the population at the beginning of an years and the increase is r% p a then the population at
the end of nth years is
n
a)
P ( 1+ r/100)
c)
P + (n -1) pr / 100
b)
P + ( n +1 ) pr / 100
d)
Pnr / 100
89. The time period after which the interest is added each time to form a new principle is called
a) Normal period
b) Semi annual period
c)
Conversion period
d)
None
90. CI is equal to
a)
A+P
b)
A–P
c)
AXP
d)
None
Module IV –Statistics
Multiple choice question
91. Statistics is applied in
a)
Economics
b)
Business management
c)
Commerce and Industry
d)
All these
92. Statistic deals with
a)
Qualitative information
b)
Quantitative information
c)
Both
d)
None
93. The primary data are collected by
a)
Interview
b)
Observation
c)
Questionnaire
d)
All these
94. ………………….. is not dimensional diagram
a)
Cubes
b)
Rectangles
c)
Pictograms
d)
Circles
b)
Quartiles
d)
All
95. Ogives can be used to locate
a) Median
c)
Deciles
96. A frequency distribution can be
a)
Dicrete
b)
Continuous
c)
Neither
d)
Either
97. ……………. Is filled by the enumerator
a)
Questionnaire
b)
Schedule
c)
Questionnaire or Schedule
d)
All
98. Statistics are
a)
Aggregate of facts
b)
Numerically expressed
c)
Systematically collected
d)
All these
99. Frequency distribution is
100.
a)
A table
b)
A variable
c)
Total Frequency
d)
Class Intervals
Length of a class is
The difference between the
a)
UCB and LCB of that class
c) a) or b)
Basic Numerical Skills
b)
d)
The difference between the UCL
and LCL of that class
Both a) & d)
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101. Tabulation is the presentation of data in
a)
Groups
b)
Rows
c)
Columns
d)
Rows and columns
a)
Statistical results are
Absolutely correct
b)
Not true
c)
True on an average
d)
Universally true
102.
103. The process of arranging data in groups according to similarities in character is called
a)
Tabulation
b)
Classification
c)
Tabulation or classifaction
d)
None
b)
Class boundary
d)
Class frequency
104. Tally marks determine
a) Class width
c)
105.
Class Limit
Histogram is useful to determine
a)
Mean
b)
Median
c)
Mode
d)
All these
106. The graphical representation of a cumulative frequency distribution is called
a) Histogram
b) Ogive
c)
Both
d)
None
107. Bar diagrams are
a)
One dimensional
b)
Two
c)
Three
d)
None of these
b)
Lines
d)
Pictures
108. Pictograms are shown by
a) Dots
c)
Cirlces
109. The point of intersection of the less than and the greater than ogives corresponds to :
a)
Mean
b)
Mode
c)
Median
d)
Geometric Mean
110. The number of observations corresponding to a particular class is known as ……..
a) Class Limit
b) Class boundary
c)
Class interval
d)
Frequency
111. Cumulative frequency only refers to the
a)
Less than type
b)
More than type
c)
Both
d)
None
112. In a rail accident the appropriate method of data collection is
a) Personal enquiry
b) Indirect oral investigation
c)
Direct Interview
d)
All these
113. Diagrams are tools of
a)
Collection of data
b)
Analysis of data
c)
Summarisation of data
d)
Presentation of Data
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114. Histogram is a
115.
a)
Graph
b)
Diagram
c)
Collection of bars
d)
Pictogram
Divided bar chart is considered for
Comparing different components of a
a)
variable
c) a) or b)
b)
d)
The relation of different
components to the total
a) & b)
116. Which method of data collection covers the widest area?
b) Mailed questionnaire method
a) Direct personal investigation
c)
117.
Direct interview method
d)
All these
In chronological classification data are classified on the basis of
a)
Attributes
b)
Class intervals
c)
Time
d)
area
118. In pic diagram, divisions are shown by means of
a)
Circle
b)
Sector
c)
Circle or sector
d)
None
119. In direct personal investigation, the investigator should be
120.
a)
Biased
b)
Tactful
c)
Optimistic
d)
All these
For drawing histogram the data should be
a)
Discrete series
b)
Continuous distribution
c)
Individual series
d)
Any one of these
Module V Measures of control tendency
Multiple choice questions
121. A single value which can represent the whole set of data is called
a)
Set
b)
Average
c)
Interest
d)
Matrices
122.
…………….. is the sum of the values divided by the total number of items in the set.
a)
Mode
b)
Median
c)
Mean
d)
Skewness
123. The degree to which numerical data tend to spread about an average value is called
a)
Dispersion
b)
Harmonic mean
c)
Kurtosis
d)
Quartiles
124. Which is not a measure of variation
a)
Range
b)
Quaratile Deviation
c)
Standard deviation
d)
Mode
b)
Median
d)
Standard deviation
125. The second quartile is equal to
a) Mean
c)
Mode
126. Which is the mode in a set {1, 3, 5, 7, 8, 9, 7, 6, 2, 7}
a)
8.5
b)
5.5
c)
7
d)
9
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127. The difference between the maximum and the minimum observation of the given data is
called ……………
a)
Range
b)
Mean Deviation
c)
Quartile Deviation
d)
Standard Deviation
128. The points of intersection of the less than and more than ogive corresponds to
a) Mean
b) Median
c)
Geometric Mean
d)
Harmonic mean
129. A time series is a set of data recorded
a)
Periodically
b)
At time intervals
c)
At successive points of time
d)
All the above
130. Skewness refers to
a) Symmetry
c)
131.
Flatness
b)
Asymmetry
d)
Peakedness
When the measure of kurtosis is greater than 3 the distribution is
a)
Mesokurtic
b)
Lepto Kurtic
c)
Platy Kurtic
d)
Symmetric
132. Index numbers are
a) Special type of averages
c)
Measure of relative changes
b)
Measure of the economic barometers
d)
All of these
133. …………… Index number is called ideal Index number
a)
Kelley’s
b)
Paasche’s
c)
Laspeyer’s
d)
Fisher’s
134. Consumer price Index number is constructed for
a) A well defined section of
people
b) All people
c)
Factory workers only
d)
All the above
135. ……………………… variations are periodic movements
a)
Seasonal
b)
Secular |trend
c)
Cyclic
d)
Irregular
136. Co-efficient of Range = ………………
−
2
−
a)
c)
−
b)
−
+
d)
137. For a normal distribution, Q3 + Q1 – 2 Median = …………
138.
a)
2
b)
1
c)
3
d)
0
Lorenz curve is used to study
a)
Skewness
b)
Kurtosis
c)
Correlation
d)
Dispersion
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139. Moving average method of fitting trend in a time series data removes the effect of
a)
Long term movements
b)
Short term movements
c)
Cyclic Variations
d)
Irregular variations
140. A time series is unable to adjust the influences like
a) Customs and policy changes
b) Seasonal changes
c)
Long term influences
d)
None of these
141. The best average for constructing an Index number is
a)
Arithmetic mean
b)
Harmonic mean
c)
Geometric mean
d)
Weighted mean
142. …………. Index is based on the price and quantities of both base year and current year
a) Paasche’s
b) Laspeyer’s
c)
Fishers
d)
None of these
143. When mean is less than median and median is less than mode the distribution is called
……………
a)
Symmetric
b)
Negatively skewed
c)
Positively skewed
d)
None
144. Co-efficient of standard deviation is
a) SD / Mediam
b)
SD / Mean
d)
AM / SD
c)
SD/ Mode
145. Measures of central tendency are called averages of the ……….. order
a)
First
b)
Second
c)
Third
d)
None
146. The standard deviation of 10,16,10,16,10,10,16,16
a) 4
b) 6
c)
3
d)
0
147. ……………… is called positional measure
a)
Mean
b)
Median
c)
Mode
d)
Harmonic Mean
148. Mean of 3 items is 30 two of them are 20 and 30. What is the other?
a) 40
b) 30
c)
149.
150.
20
d)
60
Index number for the base period is always taken as
a)
200
b)
50
c)
1
d)
100
Kelley’s co-efficient of Skewness is based on
a) Mean
b) Quartiles
c)
Percentiles
Basic Numerical Skills
d)
None of these
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School of Distance Education
Answers
Mod 1
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
C
A
B
A
B
B
A
C
C
B
B
D
A
C
B
A
C
A
A
A
A
D
C
A
C
D
A
C
A
A
Mod 2
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
A
A
A
A
C
B
A
A
C
D
B
B
D
C
B
A
C
C
B
C
C
A
B
A
C
Mod 3
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
Prepared by:
Smt Susheela Menon,
Rayirath House,
Kottapuram Road,
Punkunnam. P.O,
Thrissur- 680 002 Kerala, India
Scrutinised by:
Sri K.O.Francis,
Chairman,
Board of Studies in Commerce UG
Basic Numerical Skills
B
A
A
C
A
B
A
B
D
B
C
C
B
B
C
A
D
C
C
D
B
D
B
A
B
B
A
D
C
C
A
C
A
C
B
Mod 4
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
D
B
D
C
D
D
B
D
A
A
D
C
B
D
C
B
A
D
C
D
C
B
D
A
D
B
C
B
C
B
Mod 5
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
B
C
A
D
B
C
A
B
D
B
B
D
D
A
A
D
D
D
B
A
C
C
B
B
A
C
B
A
D
C
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