1. What is the age of the elder person if the ages of two individuals are in the ratio 4:3, and the younger is 8 years younger than the elder?
2. If 15 men working 8 hours daily can complete a task in 25 days, which number of days will 12 men working 10 hours daily require to complete the same task?
3. What is the mean proportional between 0.20 and 0.05?
4. What will be the total amount if ₹1,000 is deposited in a bank at 4% p.a. simple interest for 10 years?
5. If a sum of ₹10,000 deposited at compound interest doubles in 5 years, what will it become after 20 years?
6. What is the 7th term of the arithmetic progression 2, 5, 8, 11, ...?
7. Which value represents the 8th term of the geometric series 128, 64, 32, ...?
8. If A takes 4 hours to cover a distance of 80 km and B takes 5 hours to cover the same distance, how much more distance would A cover than B in 15 hours?
9. If P and Q are two sets, what is P Δ Q?
10. If the sets A = {2, 4, 6}, B = {2, 3, 5}, and C = {1, 2, 5, 6}, what is A ∪ (B ∩ C)?
11. If 32x+4 + 4 = 33x, what is the value of r?
12. If log₁₀ 7 = a, what is log₁₀ 1/70?
13. If log2 (log3 (log2 x))= 1, find the value of x.
14. If 10Pr is 720, then the value of r is.
15. In how many ways can the colours of the rainbow be arranged so that the red and blue colours are always separated?
16. In an examination with 7 questions, 2 of which are difficult, how many ways can a student select 4 questions such that the 2 difficult questions are included?
17. What are the roots of the equation x² - 5x + 6 = 0?
18. If the sum of the two roots of the quadratic equation (a + 1)x² + (2a + 3)x + (3a + 7) = 0 is -1, what is the value of a?
19. If y = xex, what is the value of dy/dx?
20. If C(x) and R(x) represent the cost and revenue functions respectively, the break-even point can be found when (x being the output):
21. Fill in the gap: The frequency obtained by adding the frequencies of all classes preceding the given class is called the:
22. The number of Science, Arts, and Commerce graduates in a company are 30, 70, and 50 respectively. If these figures are represented by a pie chart, what is the angle corresponding to Science graduates?
23. What is the arithmetic mean for the series 2, 3, 5, 7, 9, 4?
24. The median of the data 13, 16, 19, 15, 20, 17 is:
25. If the mean and median of a certain set of data are 26.25 and 32.50 respectively, what is the approximate value of the mode?
26. The sum of deviations of 24 observations measured from 4 is 276. What is the mean of these observations?
27. The A.M. (Arithmetic Mean) of 100 observations is 40. Later, it was found that two observations, 52 and 28, were wrongly copied as 44 and 86. What is the correct mean?
28. What is the mean deviation of the numbers 95, 33, 88, 68, 32, 80, 48, 70 from the median?
29. For a skewed distribution with mean = 100, median = 98.5, and standard deviation = 9, what is the coefficient of skewness?
30. If the sum of squares of the deviations of 10 observations taken from mean 50 is 250, what is the coefficient of variation (C.V.)?
31. If var(x) = 6.25, var(y) = 4, and cov(x, y) = 0.9, what is the coefficient of correlation between x and y?
32. For 10 sets of ranks of two variables x and y, if the sum of squares of differences between the ranks is 30, what is the rank correlation coefficient?
33. If the two regression lines corresponding to the variables x and y meet at the point (2, 3), with var(x) = 4, var(y) = 1, and the correlation coefficient between x and y is given as 1/2, what is the estimated value of y for x = 6?
34. If the regression lines are perpendicular to each other, what is the correlation coefficient between the variables?
35. Which one of the following statements is TRUE?
36. What is the slope of the regression line y on x?
37. The correlation coefficient between two variables lies between:
38. What is the probability of getting a sum of 3 if two dice are thrown together?
39. Two unbiased coins are tossed. What is the probability of getting at most one head?
40. The probability of A hitting the target is 1/5, and the probability of B not hitting the target is 3/4. What is the probability of hitting the target?
41. Two cards are drawn from a well-shuffled pack of cards. What is the probability of getting two hearts?
42. Given P(B) = 1/3 and P(AB) = 1/4, what is P(A|B)?
43. What is the probability of an impossible event?
44. If X and Y be two independent events, then P(XY) is equal to:
45. The chances of getting a defective screw from two boxes, A and B, are 1/5 and 1/6, respectively. A box is selected at random, and a screw is drawn at random from the selected box. It is found to be defective. What is the probability that it came from box A?
46. Given ∑P1Q0 = 162.6, ∑P0Q0 = 110.4, and ∑P1Q1 = 140.4, find the Laspeyres' price index number.
47. What is the 5-year moving average for the year 2004, based on the annual sales data provided for the years 2001 to 2005?
48. Given that the Laspeyres' quantity index number is 120.69 and the Paasche's quantity index number is 120.62, what is the Fisher's quantity index number?
49. The prices of a commodity in the year 2010 and 2020 were 40 and 50, respectively. What is the price relative for 2020, taking 2010 as the base year?
50. The component of a time series associated with the long term increase in sale of TV sets is:
51. Human wants are classified as:
52. If an economy operates at a point to the left of the PPF curve, it indicates:
53. Luxury goods are characterized by which type of elasticity?
54. Which of the following is not a factor in determining the market supply of a product?
55. The term that describes the functional relationship between physical inputs and physical outputs is:
56. Internal economies and diseconomies arise due to:
57. The labour surplus is defined as the difference between the value of output and the:
58. Which of the following is associated with a monopolistic competitive market?
59. In the long run, a firm in perfect competition earns:
60. In a competitive market, who is the price-maker?
61. When the marginal cost equals marginal revenue, the firm will achieve:
62. The demand curve of a monopoly firm is equivalent to which of the following?
63. Price rigidity is a characteristic of which market structure?
64. The average revenue curve is also referred to as:
65. Price discrimination is feasible in which type of market?
66. The demand for a monopoly product is generally considered to be:
67. In the short run, if the price exceeds the average total cost in a monopolistic competitive market, the firm will:
68. Which of the following factors influences the demand for money?
69. Optional money is classified as:
70. The EXIM Bank of India is wholly owned by:
71. The RBI controls inflation by:
72. The money market includes which of the following?
73. The money market is regulated by:
74. Manipulation in CRR allows the RBI to:
75. The IDA is affiliated to which organization?
76. The ICICI is categorized as which type of bank?
77. Special Drawing Rights are a special currency issued by which organization?
78. Which of the following does not fall under the macro-business environment?
79. The term PESTEL does not include which of the following factors?
80. SWOT analysis does not encompass which of the following elements?
81. Which of the following is not a dimension of volatility in the VUCA world?
82. Porter's Five Forces Model does not include which of the following?
83. Which of the following is not part of the internal business environment?
84. "Management is a multi-purpose organ that manages a business, manages managers, and manages workers and work." This definition was given by:
85. The concept of 'Management as an Art' emphasizes which of the following?
86. The economic environment includes which of the following factors?
87. Which institution has been pivotal to the emergence of the digital payment ecosystem in India?
88. Who made the observation that a leader's stewardship choice can facilitate reciprocal stewardship behavior from employees?
89. Which theory was developed by Jensen & Fama?
90. Which of the following is a limitation of planning?
91. Which of the following is considered off-the-job training?
92. Which of the following is involved in the process of organizing?
93. What is the carrier of a message sent from one person to another?
94. Coordination must be present throughout which process in management?
95. Decentralization of authority helps executives in which level to reduce their workload?
96. What represents the maximum number of subordinates that can be supervised by a supervisor?
97. The concept of the Managerial Grid was developed by:
98. The Achievement Motivation model was developed by:
99. PERT and CPM are examples of:
100. Non-programmed decisions are typically taken by which level of managers?