CMA Foundation Question Paper with Detailed Solution | Dec 25 | Session 2
Table of Contents
CMA Inter Dec 25 Suggested Answer Other Subjects Blogs :
1. The mean proportional between 1.4 gm and 5.6 gm is
2. The 9ᵗʰ term of an AP −2, −5, −8, −11 is
3. The first term and common ratio of a GP are 4 and 1⁄2 respectively. The 5ᵗʰ term of the series is
4. Find the sum of ten terms of the series 2, 4, 6, 8, 10
5. A sum of money is doubled in 5 years at simple interest. The rate of interest is
6. If 30x = 1⁄243, then the value of x is
7. If (100)ˣ = (1000)ᶻ then x : y : z is
8. log 144 is equal to
9. The value of (2! + 3!) × 0! is
10. In how many ways five members can be selected for a committee out of 11 members of a club where a particular member will always exist in the committee
11. The number of proper subsets of the set {a, e, i, o, u} is
12. For the function y = x³ − 3x, the value of x for which dy/dx = 0 is
13. If ⁹Pᵣ = 504, the value of r is
The present value of an annuity of ₹1000 received annually for 4 years at a discount rate of 5% is approximately
15. If the roots of a quadratic equation are 2 and −3, then the equation is
16. The cost function of a perfect competitive firm is
C(x) = x² + 5x + 5, where x denotes the level of output.
The market price of the product is ₹ 17 per unit.
Find the profit maximizing output of the firm.
17. The value of log(75⁄16) − log(25⁄81) + log(32⁄243) is
18. x varies inversely with the sum of y and z, and x = 4 when y = 5 and z = 3.
What is the value of z, when y = 3 and x = 8?
19. If f(x) = ax + b and f(−1) = 3, f(1) = 5, then the value of f(2) is
20. A bike rider and a cycle rider travel from city A to city B.
The time taken by the cycle rider is double of the time taken by the bike rider.
The ratio of velocities of bike and cycle is
21. A pie diagram is used to represent the following data:
|
Source |
A |
B |
C |
D |
|
Revenue (in ’000 ₹) |
120 |
180 |
240 |
180 |
The central angle corresponding to source C is
22. Which part of a statistical table contains the observed values?
23. Find the frequency density of the class interval 11–15 from the following frequency distribution:
|
Class Interval |
4–6 |
7–10 |
11–15 |
16–21 |
|
Frequency |
2 |
6 |
5 |
8 |
24. The measure of central tendency based on all observations of a variable is
25. The geometric mean of the numbers 4, 6 and 9 is
26. Find the mode of the following frequency distribution:
|
x |
5 |
10 |
15 |
20 |
25 |
|
f |
4 |
9 |
6 |
3 |
5 |
27. Find the geometric mean of 1/4, 1/8, 1/16
28. Calculate the median for the following frequency distribution:
|
Class |
0–7 |
7–14 |
14–21 |
21–28 |
28–35 |
35–42 |
|
Cumulative Frequency (Less than) |
7 |
18 |
42 |
61 |
82 |
29. For an ungrouped dataset n = 15, Σx = 480, Σx² = 15735, the standard deviation is
30. If the AM and the CV of a variable x are 5 and 20% respectively, then the variance of x is
31. The mean deviation about 4 of the following numbers of 0, 9, 5 and 6 is
32. The relationship between two variables is represented by the
33. If x = X − X̄, y = Y − Ȳ, Σx² = 90, Σxy = 60, Σy² = 62.5, then rₓᵧ = ?
34. State which of the following is false:
35. In a music competition two judges have given the following ranks to four competitors:
| Competitor | 1 | 2 | 3 | 4 |
| Judge A | 1 | 2 | 3 | 4 |
| Judge B | 1 | 2 | 4 | 3 |
The rank correlation is
36. If x̄ = 10, ȳ = 20, rₓᵧ = 0.6, σₓ² = 2.25, σᵧ² = 4, the regression line y on x is
37. If the regression coefficients of two variables are 0.4 and 0.9, find the correlation coefficient
38. Which of the following is true?
39. The probability of an event A lies in the interval
40. Three coins are tossed simultaneously. What is the probability of getting exactly 2 heads?
41. If a die is thrown two times in succession, what is the probability of getting the sum 7?
42. Two balls are drawn randomly from a box containing 4 white and 6 black balls. The probability that the drawn balls are white is
43. Probability of occurrence of at least one of the events A and B is denoted by
44. A card is drawn randomly from a pack of 52 cards. Find the probability that the card is either a red or a king.
45. f P(A) = 1/3, P(B) = 1/4, P(A ∪ B) = 1/2, then P(B|A) is
46. Find the index number for the year 2024, taking 2023 as base from the following data by aggregative method.
| Commodity | A | B | C | D |
| Price in 2023 (₹) | 30 | 40 | 90 | 90 |
| Price in 2024 (₹) | 35 | 50 | 95 | 110 |
47. If ΣP₀Q₀ = 1360, ΣP₁Q₀ = 1900, ΣP₀Q₁ = 1324, ΣP₁Q₁ = 1880, then the Laspeyres’ Price Index number is
48. If the observed value, trend, seasonal variation, cyclical variation and irregular movement of a time series are denoted by Y, T, S, C and I respectively, then the multiplicative model is
49. 3-year moving averages for 2012 and 2013 are 23 and 33 respectively. If the value for the year 2011 is 17, then the value for 2014 is
50. Using arithmetic mean of price relatives, compute the quantity index from the following data.
|
Commodity |
A |
B |
C |
D |
E |
F |
|
Base Year Quantity |
20 |
30 |
10 |
25 |
50 |
40 |
|
Current Year Quantity |
25 |
30 |
15 |
35 |
55 |
45 |
51. Which one of the following is a central problem of an economy?
52. Production Possibility Curve is:
53. Which one of the following statements is correct?
54. At which point of the linear demand curve, point elasticity is minimum?
55. In which one of the following cases, extension of supply of a product will take place?
56. Which one of the following cost curves is continuously falling as the output increases?
57. Which one of the following values the Marginal Product (MP) does not take?
58. If, in an economy, demand increases while supply remains constant, then there will be:
59. Selling Cost is a feature of:
60. ______ reflects different prices for different groups of consumers.
61. In case of Perfect Competition,
62. In which one of the following markets, there is no entry and no exit of the firm?
63. In Economics, a ______ is a formal association of independent firms or individuals which decide to restrict the market supply and/or fix prices, aiming to increase profits and market dominance.
64. A monopolist firm in the short-run can earn ______.
65. Close substitute of a product is a feature of which market?
66. As a pricing strategy, Price Leadership can be seen in ______.
67. In Perfect Competition, ______.
68. On the basis of the number of sellers, which market has least sellers?
69. Which one of the following is considered as narrow money in India?
70. Which one of the following is not considered as a cause of inflation?
71. Temporary loan facilities provided by the RBI to the State Governments and the Central Government is known as ______.
72. Which one of the following organizations does not provide industrial credit?
73. Which one of the following is not a money market instrument?
74. SDR (Special Drawing Rights) of IMF now comprises a basket of ______ currencies.
75. To control inflation, the RBI might resort to ______.
76. ______ is a public sector company mandated to acquire and aggregate non-performing assets.
77. SEBI is the primary regulatory body for overseeing and regulating the functioning of India’s ______.
78. The Monetary Policy in India is framed by the ______.
79. Under the PESTEL framework, “S” stands for ______.
80. Which one of the following is not a part of the micro environment?
81. Which one of the following is not a criterion for decision-making under uncertainty?
82. Which one of the following is not a part of internal business environment?
83. Globalization, as a part of the Indian macro environment, does not include ______.
84. The authorized agency of managing e-Rupee in India is the ______.
85. Micro environment is also called as the ______.
86. Which one of the following statements is correct?
87. Name the function of management which bridges where we are and where we want to go.
88. Which one of the following is not a Content Theory?
89. ______ suggests that individuals compare their own input–outcome ratio (e.g., effort vs. income) with that of others (e.g., colleagues, friends).
90. The decisions which are frequent and repetitive in nature are called ______.
91. Who introduced the concept of the five functions of management?
92. The management function that involves evaluating employee performance and providing feedback is known as ______.
93. What is the last step in the decision-making process?
94. ______ is a mental shortcut or a rule of thumb that helps make quick decisions and judgments without having to think through every detail.
95. Which is not a characteristic of the control phase?
96. According to Herzberg, which one of the following is a maintenance factor?
97. Communication begins with ______.
98. The form of organization known for giving rise to rumors is called ______.
99. Who among the following is an agent?
100. Which one of the following is not concerned with staffing?
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