1. The two numbers are in the ratio 2:3. If 4 is subtracted from each, they are in the ratio 3:5. The numbers are:
2. How much pure milk (in ml) must be added to 300 ml of a solution containing 15% of milk to change the concentration of milk in that mixture to 50%?
3. If x varies inversely with y, then which of the following is correct?
4. A given sum of money gives ₹50 simple interest for one year ₹102 as compound interest for two years. Determine the rate of interest.
5. Find the present value of an annuity of ₹1000 received annually for 4 years at a discount ratio of 5%.
6. If (√3)x = 81, then the value of a for ax2 - 10x + 16 = 0 is:
7. Ajay walks 4 kmph and 4 hours after his start, Badal cycles after him at 10 kmph. How far from the start does Badal catch up with Ajay?
8. The 7th term of an AP, -20, -16,-12 ... is:
9. The first term and common ratio of a GP series are 4 and 1/2 respectively. The fifth term is:
10. If A and B be two sets such that n(A) = 70, n(B) = 60 and n(A U B) = 110, then n(A ∩ B) is:
11. If A and B be any two sets, then (A ∩ B) ∪ (A ∩ Bc)is:
12. If loga b + loga c = 0, then:
13. If nPr = 720nCr, then the value of r is:
14. In how many ways can 6 books be equally distributed among 3 boys?
15. If a and b be the two roots of the equation x² - 5x + 6 = 0 and α > β , then the equation with roots (αβ + α + β ) and (αβ - α - β ) is:
16. If α and β be the roots of the quadratic equation -2x - 3 = 0, then the value of α3 + β3
17. If y = 1/(3 - 2x), find dy/dx.
18. The cost of producing x units of a product is 300x - 10x2 + 1/3 x3. Find the marginal cost (in ₹) for 12 units output.
19. The condition required for maximization of a function f(x) is:
20. If (a/b)x-1 = (b/a)x-3 :
21. In a pie diagram, 1% is equivalent to:
22. Data collected on religion from the census reports are:
23. A variable which can take any value in a specified interval on a real line is called:
24. The frequency density of a class and total frequency of a group frequency distribution with equal class width are 17 and 204 respectively. The width of a class is:
25. If the mean of 7, (n + 3), 10, (n - 3) and (n - 5) is 15, what will be the value of n?
26. The median of the numbers 21, 12, 49, 37, 88, 46, 74, 63, 55 is:
27. The quartile deviation of the numbers 18, 12, 22, 15, 30, 5, 44 is:
28. Given n = 10, ∑x = 120, and ∑x2 = 1690. The standard deviation is:
29. If the means of sample 1 and sample 2 be 20 and 50 respectively and the mean of the combined sample be 30, find the percentage of observations in sample 1.
30. For a frequency distribution, C.V. = 4% and S.D. = 6 and coefficient of skewness = 1.5, the mode of the distribution is:
31. If 2y - 6x = 6 and the mode of x is 21, then what is the mode of y?
32. If cov(x, y) = 12, bxy = 4/3, then var(x) is:
33. The value of rank correlation lies between:
34. Find the correlation coefficient of the following pair of variables (x, y). X: -3, -1, 1, 3 Y: 9, 1, 1, 9
35. If ∑D2 = 33 and n = 10, find the rank correlation coefficient.
36. Which one of the following statements is true?
37. If two regression lines of two variables x and y intersect at a point (4, 5) and bbyx = 2.5, find the value of y when x = 6.
38. If the variables x and y are independent, the correlation coefficient between them is:
39. If A, B, C are equally likely, mutually exclusive and exhaustive events, then P(A) equals to:
40. The probability that a candidate passes in Accountancy and Economics are 0.5 and 0.6 respectively. What is the probability that the candidate passes only one of the two subjects?
41. The probability of getting 52 Sundays in a leap year is:
42. If an unbiased coin is tossed 3 times, find the probability of getting at least 2 heads.
43. A box contains 5 red and 3 white balls. 2 balls are drawn at random simultaneously from the box. Find the probability of getting two same color balls.
44. If P(A) = 2/3, P(B) = 1/2 and P(B|A) = 4/9, find P(A|B).
45. An unbiased coin is tossed thrice. If the first toss gets head, what is the probability of getting only one more head?
46. Given ∑P0Q0 = 196, ∑P0Q1 = 324, ∑P1Q0 = 256, ∑P1Q1 = 441, Fisher's price index number is:
47. Delay in the production of a factory due to sudden breakdown of machine is:
48. Year: 2020, 2021, 2022, 2023, 2024; Sales (in thousands): 5, 4.5, 6, 5.5, 5 Find the 3-year moving average for the year 2023.
49. Net monthly income of an employee was 10,000 per month in 2010. The consumer price index number was 80 in 2010 and became 240 in 2023. Calculate the additional D.A (in ₹) to be paid to the employee if he has to be compensated.
50. The price of a commodity in the years 2010 and 2020 were 40 and 50 respectively. Find the price relative taking 2010 as base year.
51.Adam Smith is known as the father of Economics.
52. According to Economics, means are:
53. A piece of wood becomes a table. It is an example for which type of utility?
54. What occurs when the price that consumers pay for a product or service is less than the price they are willing to pay.
55. Disguised unemployment is primarily traced in the which unorganized sectors of the economy. :
56. Which of the following is a second factor of production?
57. In microeconomic theory, the cost of a choice is the value of the best alternative foregone where, given limited resources, a choice needs to be made between several mutually exclusive alternatives. This is known as:
58. Which one of the following is not a factor in the market supply of a product?
59. Which of these will have highly inelastic supply?
60. In the short-run, price is governed by:
61. A market structure with a single seller or producer that assumes a dominant position in an industry or a sector is called:
62. A firm can achieve equilibrium when its:
63. The equilibrium of a firm can be divided into how many types?
64. In a competitive market, the price-maker is:
65. Skimming pricing is a pricing strategy that sets new product prices:
66. Which competition is a type of market structure where many firms are present in an industry and they produce Similar but differentiated products:
67. To fully understand microeconomics, it is necessary to leave aside perfect competition and move towards the opposite direction. Who concluded this?
68. What occurs when a leading firm in a given industry is able to exert enough market influence to effectively determine the price of goods or services for the entire market.
69. Which is a form of oligopoly, where only two companies dominate the market.
70. Which states that bad money drives good money out of circulation.
71. The money market deals with:
72. Which of the following is a quantitative credit control instrument?
73. Which of the following is the oldest system of money?
74. Which of the following is a qualitative credit control instrument used by the Central Bank?
75. Manipulation in CRR enables the RBI to:
76. Fiscal Policy in India is formulated by the:
77. EXIM bank is authorized to raise loans from the:
78. Which marketis the mechanism for the flow of funds from the surplus to the deficit units in the economy.
79. Financial markets are classified into Money Market and:
80. Which environment is within the control of the business.
81. Select the internal components which influence business decisions:
82. The term "P" in PESTEL stands for:
83. The term "W" in SWOT analysis stands for:
84. Opportunities and Threats are related to:
85. The task environment is also known as:
86. There are how many major functions of management?
87. The concept of Scientific Management has focused mainly on the:
88. The non-programmed decisions are mainly taken by the:
89. what involves a system within an organization in which the top, middle, and lower levels of management participate in decision-making.
90. The first step in the process of staffing is:
91. One who receives information in any communication process is known as:
92. What involves the selection of language in which the message is to be given.
93. The Stewardship Theory states that a steward protects and maximizes the shareholders' wealth through the firm's:
94. Post-control is also known as:
95. Effective ______ increases the interactions among the managers and the subordinates.
96. What flows from lower-level management to top-level management.
97. The managerial function of directing the subordinates towards achievement of the organizational goals is known as:
98. Encouraging someone to a particular course of action is known as:
99. The decision to purchase stationery is a:
100. The act of choice wherein an executive comes to a conclusion about what must not be done in a given situation is known as: