Quiznetik
Quantitative Techniques | Set 3
1. A forecast that projects company’s sale is the
A. economic forecast
B. technological forecast
C. demand forecast
D. financial forecast
Correct : C. demand forecast
2. The sales of wool and umbrella are associated with the components of which of the time series
A. seculaar trend
B. seasonal variation
C. irregular vatiation
D. cyclical variation
Correct : B. seasonal variation
3. If the slope of the trend line is positive, it shows
A. rising trend
B. dclining trend
C. stagnation
D. uncontrollable
Correct : A. rising trend
4. Index numbers are expressed in:
A. Ratios
B. Squares
C. Percentages
D. Combinations
Correct : C. Percentages
5. Index for base period is always taken as:
A. 100
B. One
C. 200
D. Zero
Correct : A. 100
6. Another name of consumer's price index number is:
A. Whole-sale price index number
B. Cost of living index
C. Sensitive
D. Composite
Correct : B. Cost of living index
7. Laspeyre's index = 110, Paasche's index = 108, then Fisher's Ideal index is equal to:
A. 110
B. 108
C. 100
D. 109
Correct : D. 109
8. An orderly set of data arranged in accordance with their time of occurrence is called:
A. Arithmetic series
B. Harmonic series
C. Geometric series
D. Time series
Correct : D. Time series
9. Increase in the number of patients in the hospital due to heat stroke is:
A. Secular trend
B. Irregular variation
C. Seasonal variation
D. Cyclical variation
Correct : C. Seasonal variation
10. In time series seasonal variations can occur within a period of:
A. Four years
B. Three years
C. Two years
D. One year
Correct : D. One year
11. In a straight line equation Y = a + bX; b is the:
A. Y-intercept
B. Slope
C. X-intercept
D. Trend
Correct : B. Slope
12. In business and economics, index numbers can be classified as
A. price index numbers
B. quantity index numbers
C. value index numbers
D. All of the above
Correct : D. All of the above
13. __________ ignore(s) the relative importance of the commodities being measured.
A. Simple Aggregative Method
B. Weighted Aggregative Method
C. Neither methods
D. Both methods
Correct : A. Simple Aggregative Method
14. The time reversal test is not satisfied by 16
A. Laspeyres’ Method
B. Paasche’s Method
C. Neither of the above
D. Both of the above
Correct : D. Both of the above
15. The circular test is satisfied by
A. Laspeyres’ Index
B. Paasche’s Index
C. Fisher’s Ideal Index
D. None of the above
Correct : D. None of the above
16. The components or a time series are
A. Secular trend
B. Irregular variation
C. Cyclical variation
D. All of the above
Correct : D. All of the above
17. The coefficient of correlation
A. Has no limit
B. Can be less than 1
C. Can be more than 1
D. Varies between + 1
Correct : D. Varies between + 1
18. Index number are expressed in
A. Ratios
B. Squares
C. Percentages
D. Combinations
Correct : C. Percentages
19. Index for base period is always taken as
A. 100
B. 0
C. 200
D. None of the above
Correct : A. 100
20. Symbolically time reversal test is given as
A. Po1 x P10
B. Po1 x P10 = 1
C. Po1 x P10 ≠ 1
D. None of the above
Correct : B. Po1 x P10 = 1
21. Consumer price index indicates
A. Rise
B. Fall
C. Both (a) and (b)
D. None of the above
Correct : C. Both (a) and (b)
22. Fisher’s ideal index number is the geometric mean of the
A. Laspeyre’s and Marshall Edgeworth indices
B. Laspeyre’s and Paasche’s indices
C. Both (a) and (b)
D. None of the above
Correct : B. Laspeyre’s and Paasche’s indices
23. A time series consists of
A. Short-term variation
B. Long-term variation
C. Irregular variation
D. All the above
Correct : D. All the above
24. An index which is constructed from a group of variables is considered as:
A. Composite index
B. Univariate index
C. Multiple index
D. None of the above
Correct : A. Composite index
25. Purchasing power of money can be accessed through:
A. Simple index
B. Fisher’s index
C. Consumer price index
D. Volume index
Correct : C. Consumer price index
26. If the price of commodity’ X’ is 4 in the year 2003 and 5 in the year 2004. Then, the price index for the year 2004, used 2003 as base year is:
A. 100
B. 125
C. 130
D. 135
Correct : B. 125
27. Laspeyres index = 110, Paasche's index = 108, then Bowley’s index is equal to:
A. 110
B. 108
C. 100
D. 109
Correct : D. 109
28. A time series consists of:
A. Seasonal variations
B. Cyclical variations
C. Irregular variations
D. All of the above
Correct : D. All of the above
29. Changes that have taken place as a result of such forces that could not be predicted like floods, earthquakes, famines, etc is known as:
A. Secular trend
B. Seasonal movements
C. Irregular variations
D. Cyclical variations
Correct : C. Irregular variations
30. In semi averages method, the given data is divided into:
A. Two equal parts
B. Three equal parts
C. Four equal parts
D. Difficult to tell
Correct : A. Two equal parts
31. The additive model of the time series is:
A. Y = T + S + C + I
B. Y = TSCI
C. Y = a + bX
D. Y = a + bX + cX
Correct : A. Y = T + S + C + I
32. Two matrices A and B are multiplied to get AB if
A. Both are rectangular
B. Both have same order
C. No of columns of A is equal to columns of B
D. No of rows of A is equal to rows of B
Correct : C. No of columns of A is equal to columns of B
33. Transpose of a column matrix is
A. Zero matrix
B. Diagonal matrix
C. Column matrix
D. Row matrix
Correct : D. Row matrix
34. The determinant of identity matrix is :
A. 1
B. 0
C. Depends on the matrix
D. None of the above
Correct : A. 1
35. The matrix [6] is
A. Square matrix
B. Row matrix
C. Column matrix
D. All of the above
Correct : D. All of the above
36. If matrix A is of order m×n then the matrix of order n×m is called
A. Transpose of A
B. Inverse of A
C. Main diagonal of A
D. Echelon form of A
Correct : A. Transpose of A
37. Which of the following is true?
A. A.B = A’.B
B. (c) A.B = A.B’
C. (AB)’ = B’.A’
D. (d) (A=B)’ = A’. B’
Correct : B. (c) A.B = A.B’
38. Two matrices A and B are multiplied to get AB if,
A. both are rectangular
B. both have the same order
C. number of columns of A is equal to number of rows of B
D. number of rows of A is equal to number of columns of B
Correct : C. number of columns of A is equal to number of rows of B
39. A matrix having ‘m’ rows and ‘n’ columns with m≠n is said to be a
A. Scalar Matrix
B. Identity Matrix
C. Square Matrix
D. Null Matrix
Correct : A. Scalar Matrix
40. 4 6 3 is a
A. Row Matrix
B. Column Matrix
C. Identity Matrix
D. Square Matrix
Correct : A. Row Matrix
41. Increase in the number of patients in the hospital due to stroke is
A. Secular trend
B. Irregular variation
C. Seasonal variation
D. Cyclical variation
Correct : C. Seasonal variation
42. Damages due to floods, droughts and strikes fires are associated with the components of which of the time series
A. Secular trend
B. Cyclical variation
C. Seasonal variation
D. Irregular variation
Correct : D. Irregular variation
43. Transpose of rectangular matrix is a
A. Rectangular matrix
B. Diagonal matrix
C. Square matrix
D. Scaler matrix
Correct : A. Rectangular matrix
44. Two matrices A and B are multiplied to get AB if
A. Both are rectangular
B. Both have same order
C. Number of columns of A is equal to columns of B
D. Number of rows of A is equal to columns of B
Correct : C. Number of columns of A is equal to columns of B
45. Transpose of row matrix is a
A. Zero matrix
B. Diagonal matrix
C. Column matrix
D. Row matrix
Correct : C. Column matrix
46. Cramer’s rule fails for
A. Determinants > 0
B. Determinants < 0
C. Determinants = 0
D. None of the above
Correct : C. Determinants = 0
47. Cramer’s Rule is not suitable for which type of problems?
A. Small systems with 4 unknowns
B. Systems with 2 unknowns
C. Large systems
D. None of the above
Correct : C. Large systems
48. The element residing in the 3rd column and 4th row is represented by:
A. (a)a12
B. (b) a43
C. (c) a34
D. NOTA
Correct : B. (b) a43
49. A matrix that has elements in the horizontal line only is known as:
A. Square Matrix
B. Determinant
C. Row Matrix
D. Column Matrix
Correct : C. Row Matrix
50. For the equations 2x-y=5;3x+2y=-3; The values of x and y are
A. -1 and 3
B. 1 and -3
C. 2 and 3
D. NOTA
Correct : B. 1 and -3
51. Function f(x) is exist when:
A. LHL = RHL
B. LHL ≠ RHL
C. LHL > RHL
D. LHL < RHL
Correct : A. LHL = RHL
52. 𝑑𝑥 is:
A. 1 + c
B. 0
C. x + c
D. y + c
Correct : C. x + c
53. A function expressed directly in terms of the dependent variable is an _________ function, where one variable is dependent on the other.
A. implicit
B. fixed
C. variable
D. explicit
Correct : D. explicit
54. In the equation y = f (x), y is the __________variable and x is the ____________variable.
A. dependent; independent
B. independent; dependent
C. first; second
D. explicit; implicit
Correct : A. dependent; independent
55. The limit of a constant function lim𝑥→𝑎 𝑓 𝑥 = 𝑐 is
A. x
B. c
C. a
D. f(x)
Correct : B. c
56. The derivative of x3 is
A. 3x
B. 3
C. 3x2
D. x
Correct : C. 3x2
57. The derivative of (5x - 2)3 is
A. 15(5x - 2)2
B. 5x - 2
C. 15(5x - 2)3
D. 15x - 2
Correct : A. 15(5x - 2)2
58. The derivative of 2x+3 is
A. x
B. 3
C. 2
D. 1
Correct : C. 2
59. 7. 𝑑𝑥 is equal to
A. 1
B. x
C. y
D. 0
Correct : B. x
60. A square matrix in which every non-diagonal is zero and all diagonal elements are equal is called
A. Scaler matrix
B. Square matrix
C. Column matrix
D. Row matrix
Correct : A. Scaler matrix
61. Differential calculus helps to find the
A. Rate of change of a quantity
B. Quantity when the rate of change is known
C. Quantity when the rate of change is unknown
D. None of the above
Correct : A. Rate of change of a quantity
62. Integral calculus helps to find the
A. Rate of change of a quantity
B. Quantity when the rate of change is known
C. Quantity when the rate o change is unknown
D. None of the above
Correct : B. Quantity when the rate of change is known
63. A function expressed directly in terms of the dependent variable is said to be an
A. Explicit function
B. One valued function
C. Two valued function
D. None of the above
Correct : B. One valued function
64. When the dependent variable increases with an increase in the independent variable, the function is called
A. Algebraic functions
B. Rational functions
C. Monotonically increasing function
D. None of the above
Correct : C. Monotonically increasing function
65. The limit of the ratio of the increment in the function corresponding to a small increment in the argument as the latter tends to zero is
A. matrix
B. limit
C. function
D. derivative
Correct : D. derivative
66. Integration is also known as
A. Anti-derivative
B. Disintegration
C. Differentiation
D. Integral
Correct : A. Anti-derivative