UNIVERSITY OF CALICUT SCHOOL OF DISTANCE EDUCATION

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1 1. George cantor is the 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 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) Set builder form c) Both a and b 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 b) Set of letters in English alphabets c) Set of odd natural numbers divisible by 2 d) All the above 9. In the following state whether A=B a) A= {4,8,12,16} B = {8,4,16,18} b) A= {x : x is a multiple of 10 } B= {10, 15, 20, 25.} c) A= {a, b, c, d} B = {d, c, b, a} d) 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 d) Not an element of A Basic Numerical Skills Page 1

2 11. In plane geometry, the set consists of all points in a plane is an eg. For 12. A = A a) b) c) d) a) Commutative law b) Law of c) Idempotent law d) Law of identity element 13. In set builder form {X : X A or X B} denotes 14. A A = A a) A A b) A A c) A A d) None a) Commutative law b) Associative law c) Idempotent law d) Distributive law 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 a b 16. The Value of determinant c d is a) ad bc b) ab cd c) bd ac d) bc - ad 17. a 0 is = b a a) ab b) 0 c) a 2 d) b The Value of the determinant is 3 4 a) 2 b) - 2 c) 38 d) 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 Value of the determinate is a) 0 b) Positive integer c) Negative 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 Basic Numerical Skills Page 2

3 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) Row c) Diagonal d) 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) Square matrix c) Identity matrix d) 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) The equations x =0 is a a) Quadratic equation b) Cubic equation c) Simple equation d) None 33. Equation ax 2 + b = 0 a) Pure quadratic equation b) General quadratic equation c) Not a quadratic equation d) None 34. The root of the eqn 3x 2-1 = 0 are a) Irrational b) Imaginary c) Rational d) integer 35. x 2-4 = 0 implies x =.. a) 2 b) -2 c) ± 2 d) None Basic Numerical Skills Page 3

4 36... is one of the solutions to the equation 3x 2-4x+1 =0 a) x = -1 b) x = 1 c) x = 2 d) x = The expression b 2-4ac 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 39. Quadratic eqn ax 2 + bx + c = 0 has equal roots if a) b - 4ac < 0 b) b - 4ac > 0 c) b - 4ac = 0 d) b - 4ac = 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) Exponential d) none 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 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 Basic Numerical Skills Page 4

5 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 54. At market equilibrium a) Demand = Supply b) Profit = Loss c) Sales = forecast d) None 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 61. tn in AP is 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 Basic Numerical Skills Page 5

6 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 63. Find the 7 th term of series 1,4,7 a) 22 b) 19 c) 16 d) Find the 10 th term of the series 4, 2, 0, -2.. a) -12 b) -10 c) -8 d) If 2, 5, 8.. is A.P the t 20 is a) 60 b) 59 c) 58 d) None 66. d of the A.P. 4, -8, a) -4 b) 12 c) -12 d) d of the A.P. 1,-1,-3,-5,.. is a) 1 b) -1 c) -2 d) If the N th term of an A.P. is 4n-1 then the d is a) 3 b) 4 c) 1 d) Given the term in the sequence 1,3,7,15,31 next is. a) 62 b) 63 c) 46 d) 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 If a is the first term and r is the common ratio then the n th term of the GP is a) a(1-r) b) a (1 r n ) 1 c) ar n-1 d) Find the common ratio of the following 9,6,4 a) 3 b) 2 c) 2/3 d) none Basic Numerical Skills Page 6

7 75. If a b c are in G P then b is a) ac b) + 2 c) a+ c d) 76. 9, 6, 4.. is a. a) A.P b) G.P c) A.P or G.P d) None 77. If 2, x, 8 are the successive terms of a GP.the value of x is a) 5 b) 4 c) -4 d) ± Common ratio of the G.P. 1, 1/3,1/9,1/27.is a) 3 b) 1/3 c) 1/6 d) The A M of a and b is.. + a) 2 b) ab c) d) a + b 80. The sum of the value of 1,2, 20 is a) 500 b) 210 c) 420 d) 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) 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) 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) Compound interest for Rs 25,000/-at the rate of 12% p a for 5years is a) b) c) d) The formula p (1+r/100) n 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) 100(1.1) 3 b) 100(1.025) 4 c) 100(1.025) 16 d) 100(1.1) 4 Basic Numerical Skills Page 7

8 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 a) P ( 1+ r/100) n b) P + ( n +1 ) pr / 100 c) P + (n -1) pr / 100 d) Pnr / The time period after which the interest is added each time to form a new principle is called 90. CI is equal to a) Normal period b) Semi annual period c) Conversion period d) None a) A + P b) A P c) A X P 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 is not dimensional diagram a) Cubes b) Rectangles c) Pictograms d) Circles 95. Ogives can be used to locate a) Median b) Quartiles c) Deciles d) All 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 a) A table b) A variable c) Total Frequency d) Class Intervals 100. Length of a class is The difference between the The difference between the UCL a) b) UCB and LCB of that class and LCL of that class c) a) or b) d) Both a) & d) Basic Numerical Skills Page 8

9 101. Tabulation is the presentation of data in a) Groups b) Rows c) Columns d) Rows and columns 102. Statistical results are a) Absolutely correct b) Not true c) True on an average d) Universally true 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 104. Tally marks determine a) Class width b) Class boundary c) Class Limit d) Class frequency 105. 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 108. Pictograms are shown by a) Dots b) Lines c) Cirlces d) Pictures 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 Basic Numerical Skills Page 9

10 114. Histogram is a School of Distance Education a) Graph b) Diagram c) Collection of bars d) Pictogram 115. Divided bar chart is considered for Comparing different components of a The relation of different a) b) variable components to the total c) a) or b) d) a) & b) 116. Which method of data collection covers the widest area? a) Direct personal investigation b) Mailed questionnaire method c) Direct interview method d) All these 117. 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 a) Biased b) Tactful c) Optimistic d) All these 120. 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 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 125. The second quartile is equal to a) Mean b) Median c) Mode d) Standard deviation 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 Basic Numerical Skills Page 10

11 127. 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 b) Asymmetry c) Flatness d) Peakedness 131. 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 b) Measure of the economic barometers c) Measure of relative changes 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 = a) c) 2 b) d) For a normal distribution, Q 3 + Q 1 2 Median = a) 2 b) 1 c) 3 d) Lorenz curve is used to study a) Skewness b) Kurtosis c) Correlation d) Dispersion Basic Numerical Skills Page 11

12 139. 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 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 c) SD/ Mode d) AM / SD 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) 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) 20 d) Index number for the base period is always taken as a) 200 b) 50 c) 1 d) Kelley s co-efficient of Skewness is based on a) Mean b) Quartiles c) Percentiles d) None of these Basic Numerical Skills Page 12

13 Answers Mod 1 Mod 2 Mod 3 Mod 4 Mod 5 1 C 31 A 56 B 91 D 121 B 2 A 32 A 57 A 92 B 122 C 3 B 33 A 58 A 93 D 123 A 4 A 34 A 59 C 94 C 124 D 5 B 35 C 60 A 95 D 125 B 6 B 36 B 61 B 96 D 126 C 7 A 37 A 62 A 97 B 127 A 8 C 38 A 63 B 98 D 128 B 9 C 39 C 64 D 99 A 129 D 10 B 40 D 65 B 100 A 130 B 11 B 41 B 66 C 101 D 131 B 12 D 42 B 67 C 102 C 132 D 13 A 43 D 68 B 103 B 133 D 14 C 44 C 69 B 104 D 134 A 15 B 45 B 70 C 105 C 135 A 16 A 46 A 71 A 106 B 136 D 17 C 47 C 72 D 107 A 137 D 18 A 48 C 73 C 108 D 138 D 19 A 49 B 74 C 109 C 139 B 20 A 50 C 75 D 110 D 140 A 21 A 51 C 76 B 111 C 141 C 22 D 52 A 77 D 112 B 142 C 23 C 53 B 78 B 113 D 143 B 24 A 54 A 79 A 114 A 144 B 25 C 55 C 80 B 115 D 145 A 26 D 81 B 116 B 146 C 27 A 82 A 117 C 147 B 28 C 83 D 118 B 148 A 29 A 84 C 119 C 149 D 30 A 85 C 120 B 150 C 86 A 87 C 88 A 89 C 90 B Prepared by: Scrutinised by: Smt Susheela Menon, Rayirath House, Kottapuram Road, Punkunnam. P.O, Thrissur Kerala, India Sri K.O.Francis, Chairman, Board of Studies in Commerce UG Basic Numerical Skills Page 13