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Find the area of the region bounded by the parabola y2 = 4x and the line x = 3.
Concept: Area Under Simple Curves
Obtain the differential equation by eliminating arbitrary constants from the following equation:
y = Ae3x + Be–3x
Concept: Formation of Differential Equation by Eliminating Arbitary Constant
The following table shows the production of gasoline in U.S.A. for the years 1962 to 1976.
| Year | 1962 | 1963 | 1964 | 1965 | 1966 | 1967 | 1968 | 1969 |
| Production (million barrels) |
0 | 0 | 1 | 1 | 2 | 3 | 4 | 5 |
| Year | 1970 | 1971 | 1972 | 1973 | 1974 | 1975 | 1976 | |
| Production (million barrels) |
6 | 7 | 8 | 9 | 8 | 9 | 10 |
- Obtain trend values for the above data using 5-yearly moving averages.
- Plot the original time series and trend values obtained above on the same graph.
Concept: Measurement of Secular Trend
State whether the following is True or False:
The optimum value of the objective function of LPP occurs at the centre of the feasible region.
Concept: Basic Concepts of Linear Programming
Four new machines M1, M2, M3 and M4 are to be installed in a machine shop. There are five vacant places A, B, C, D and E available. Because of limited space, machine M2 cannot be placed at C and M3 cannot be placed at A. The cost matrix is given below:
| Machines | Places | ||||
| A | B | C | D | E | |
| M1 | 4 | 6 | 10 | 5 | 6 |
| M2 | 7 | 4 | – | 5 | 4 |
| M3 | – | 6 | 9 | 6 | 2 |
| M4 | 9 | 3 | 7 | 2 | 3 |
Find the optimal assignment schedule.
Concept: Special Cases of Assignment Problem
Find the sequence that minimizes the total elapsed time to complete the following jobs in the order AB. Find the total elapsed time and idle times for both the machines.
| Job | I | II | III | IV | V | VI | VII |
| Machine A | 7 | 16 | 19 | 10 | 14 | 15 | 5 |
| Machine B | 12 | 14 | 14 | 10 | 16 | 5 | 7 |
Concept: Types of Sequencing Problem
Correct the underlined word and rewrite the following sentence.
Security in job always affects adversely on the efficiency of employees.
Concept: Henry Fayol's Administrative Theory of Management
Justify the following statement.
Principles of management are flexible in nature.
Concept: Nature of Management Principles
Justify the following statement.
Principle of equity is important.
Concept: Henry Fayol's Administrative Theory of Management
State whether the following statement is true or false:
Cooperation is not necessary for the smooth flow of organizational activities.
Concept: Functions of Management >> Directing
Start-Up India is an initiative of the ______.
Concept: Recent Initiatives in Entrepreneurship Development
Credit or Debit cards are popularly known as ____________ money.
Concept: Types of Business Services
State with reasons whether the following statements are True or False
e-business allows you lo work across the globe in any field.
Concept: Concept of E-business
Find the odd one.
Concept: Forms of Outsourcing >> Legal Process Outsourcing (LPO)
Explain the following term/concept.
E-business
Concept: Concept of E-business
Distinguish between.
E-business and E-commerce
Concept: Concept of E-business
Businessmen are ______ of the society.
Concept: Business Ethics
Explain the following term/concept.
Social responsibility
Concept: Concept of Social Responsibility
Arrange in proper order.
District Judge, Supreme Court Judge, High Court Judge
Concept: Consumer Protection Act, 2019
Explain the following term/concept.
Lok Adalat
Concept: Ways and Means of Consumer Protection
