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1. In 30 litres of adulterated milk, the ratio of the volumes of milk and water is 7:3. What volume of water should be added to it to make the ratio of milk and water 3:7?

20 40 25 30

2. The mean proportional between 2 and 8 is:

4 5 3 6

3. p varies directly with the cube root of q and p is 4 when the value of q is 8. Find the value of (q + 1) when the value of p is 6.

25 28 32 36

4. If the interest rate is 6% p.a., for what sum of money will the difference between Compound interest and simple interest for 2 years be 13.5?

5730 5370 3750 3570

5. A bank offers 4% nominal interest with quarterly compounding. What is the effective rate of interest?

4.01% 4.02% 4.03% 4.04%

6. The sum of first 50 natural numbers is:

1275 1250 1300 1350

7. A car travels some distance at a speed of 8 km/hour and returns at a speed of 12 km/hour. If the total time taken is 15 hours, what is the distance (in km)?

72 60 48 36

8. If the product of the first three terms of a G.P. is 64, the middle term is:

2 8 6 4

9. A and B are subsets of an universal set U such that n(U) = 800, n(A) = 300, n(B) = 400 and n(A ∩ B) = 100. Then the number of elements in the set (A' ∪ B') is:

150 200 350 400

10. If A = {1,2,3,4} and B = {3,5,7}, then (A - B) ∪ (B - A) is:

{1, 2, 3} {3} {1, 2, 3, 4, 5, 7} {1, 2, 4, 5, 7}

11. If (300)⁸ = 65.61 x 10^x, then the value of X is:

14 16 18 20

12. If 3^x-y = 27 and 3^x+y = 243, then x is equal to:

0 2 4 6

13. If log₂ log₃ log₂x = 0, then x is:

8 1 16 2

14. The LCM of {3!, 4!, 5!} is:

6 24 120 60

15. A polygon of n sides has two diagonals. The value of n is:

4 3 8 10

16. Express 5 x 6 x 7 x 8 x 9 in factorial notation.

9!/5! 9!-5! 9!/4! 10!-4!

17. If the product of the roots of ax² + 2x + 6 = 0 is 3, then the sum of the roots is:

1 -1 1/2 -1/2

18. If the equation x² -(p+4)x + 2p + 5 = 0 has two equal roots, then the value of p is:

±1 2 -2 ±2

19. A bottle manufacturing company manufactures and sells bottles. Each bottle costs 40 to make and the company's fixed cost is 5000. The price function is given by P(x) = 300 - 2x. Then the profit maximizing output is:

65 56 60 62

20. If y = (2x + 3)⁴, then dy/dx is:

4(2x + 3)³ 8(2x + 3)³ 32x³ 8(2x + 3)

21. Statistical data collected by the government agency for surveying some matter is:

Attribute data Primary data Secondary data Both primary and secondary data

22. Which of the following diagrams is used to find the value of the mode graphically?

Pie chart Bar chart Histogram Ogive

23. The cumulative frequency table is required to find out which of the following?

Mean Median Mode Range

24. The average of lower and upper class limits is called:

Class-mark Class-boundary Class-width Class frequency

25. The algebraic sum of the deviations of 10 observations measured from 30 is 20. The arithmetic mean of the observations is:

28 36.5 42.4 32

26. If the harmonic mean of 2, a and 8 be 24/7, then the value of a is:

2 4 8 7

27. The variables x and y are related by 4x - 3y = 5. If the median and mode of the variable x are 4 and 5 respectively, then the mean of y is:

3 4 5 2

28. The range of first five prime numbers 2, 3, 5, 7, 11 is:

4 5 7 9

29. For a sample of 10 observations, ∑x = 20 and ∑x² = 200, then the standard deviation is:

8 6 4 16

30. For a symmetrical distribution, Q₁ = 34 and Q₃ = 42. Using Bowley's measure of skewness, find the median of the distribution.

30 33 46 38

31. If cov(x,y) = 12, var(x) = 9, var(y) = 25, then the correlation coefficient is:

0.36 0.8 0.5 0.65

32. If var(x) = 144, s.d.(y) = 18 and r(x,y) = 0.9, then the value of b_xy is:

1.86 2.47 0.82 1.35

33. Find the regression line y on x from the following data: n = 10, Σx = 120, Σy = 150, Σ(x - 12)² = 125, Σ(y - 15)² = 180, Σ(x - 12)(y - 15) = 90. Then the value of the regression coefficient is:

0.6 0.8 0.57 0.68

34. The regression coefficients of x on y and y on x are -1.2 and -0.3 respectively. The correlation coefficient between x and y is:

0.6 -0.6 0.06 -0.06

35. If X̅= 6, Y̅ = 7, b_yx = 0.45, b_xy = 0.65, then the regression equation of x on y is:

y - 0.65x = 3.8 y - 0.45x = 4.3 x - 0.45y = 7.6 x - 0.65y = 1.45

36. The correlation coefficient between shoe size and intelligence of a person is:

Positive Negative Non-sense correlation Non-negative

37. The correlation coefficient of ranks of n students in two subjects of a test is 0.25 and the sum of squares of differences of the ranks is 63. The number of students appeared in the test is:

8 9 10> 12

38. If for the events A and A^c, P(A) = P(A^c), then events A and A^c are:

Mutually exclusive but not equally likely Equally likely but not mutually exclusive Mutually exclusive and equally likely Neither mutually exclusive nor equally likely

39. Two perfect dice are thrown simultaneously. The probability of getting a sum of 8 is:

7/36 1/36 4/36 5/36

40. For the events A and B, if P(A) = 1/2 and P(A) = 1/3 P(A ∪ B) = 7/12, then P(A|B) is:

3/4 2/3 1/6 1/2

41. Two events A and B are said to be independent if:

P(A | B) = P(A) P(B)P P(A | B) = P(A) / P(B) P(A | B) = P(A) P(A | B) = P(B)

42. A card is drawn at random from a well-shuffled pack of 52 cards. The probability of drawing a king or queen of spades is:

1/52 1/26 2/13 1/13

43. A perfect die is thrown. Then the probability of getting an even number or a number multiple of 3 is:

2/3 1/3 1/2 5/6

44. Using a 3-year weighted moving average with weights 1, 2, 1, find the trend value for the 4th year for the following series:

Year: 1, 2, 3, 4, 5, 6, 7

Values: 2, 4, 5, 7, 8, 10,13

5 6.67 6.75 6.57

45. Calculate the weighted average of price relative index number from the following data: Item Weight Base year Current year Price (in Rs): 40, 20, 30.

145.86 148 165 140

46. If ∑ P₀Q₀ = 1360, ∑ P_nQ₀ = 1900, ∑ P₀Q_n = 1344, ∑ P_nQ_n = 1880, then Laspeyres' price index number is:

139.70 138.24 98.95 98.82

47. If Laspeyres' price index = 147.28 and Paasche's price index = 143.26, then Bowley's price index number is:

145.86 145.27 142.57 145. 25

48. If a perfect coin is tossed 3 times, then the probability of getting exactly 2 heads is:

1/8 1/2 3/8 5/8

49. Given: P(B₁) = P(B₂)=1/2 , P(A|B₁) = 1/3, P(A|B₂) = 2/3 Using Bayes' theorem, find P(B₁|A).

2/3 1/2 3/4 1/3

50. If A be an event, then which one of the following statements is TRUE?

P(A) > 0 P(A) ≥ 0 P(A) 0 ≤ P(A) ≤ 1 P(A) -1 ≤ P(A) ≤ -1

51. Welfare definition of economics was given by:

Alfred Marshall Adam Smith Robbins Jacob Viner

52. Which is not a characteristic of human wants?

Wants are satiable Wants are limited Wants are recurring Wants are competitive

53. Elasticity refers to demand for a commodity in relationship with the price of a close substitute.

Cross Income Price Unitary

54. Market potential is also known as:

Demand Potential Sales Industry

55. The Law of Variable Proportions was not propounded by:

Marshall Benham Samuelson Keynes

56. All factors of production become variable in:

Short run Medium run Long run Very short run

57. which cost is also known as variable cost

Product Fixed Historical Opportunity

58. which costs are irrelevant with regard to future business decisions.

Product Fixed Variable Sunk

59. Under which competition, every firm will be of optimum size.

Pure perfect monopoly monopolistic

60. Imperfect market is classified into:

2 3 4 5

61. Oligopoly means:

Single seller Few sellers Large number of sellers No buyers

62. In which market, the seller is the price maker.

perfect competition monopoly oligopoly imperfect market

63. The Kinked Demand Curve model of oligopoly was developed by:

Cornet Edgeworth Sweezy Sticker

64. The market state that satisfies all the essential features of a perfect competition market except identity of a product is known as:

Oligopoly Duopoly Monopoly Monopolistic Competition

65. In Which competition, the firm has no definite demand curve.

Oligopoly Duopoly Monopoly Monopolistic Competition

66. The act of selling the same commodity at different prices to different buyers is known as:

Price leadership Differential pricing Policy pricing Skimming pricing

67. Penetration pricing is adopted by following a:

Low price High price Dual price All of the above

68. Three degrees of price discrimination was described by:

Robinson Pigou Adam Smith Sticker

69. In the long run, price is governed by:

Cost of production Demand and supply forces Marginal utility Normal profit

70. Types of money may be of:

2 3 4 5

71. Quantity Theory of Money was propounded by:

Irving Fisher Gresham Keynes Adam Smith

72. Medium of exchange is one among the functions of money.

Primary Secondary Contingent Auxiliary

73. The money supply affects the rate of interest. When the money supply increases, the rate of interest decreases. This has been stated by:

Keynes Walker Robbins Crowther

74. Collection of cheque is one among the functions of:

Creation of credit Agency Loans and advances Acceptance of deposits

75. The RBI was nationalised in:

1949 1950 1951 1935

76. IFCI was established in:

1949 1948 1947 1946

77. The main purpose of SEBI is regulating business in the stock market and other securities markets.

SEBI IFCI LICI EXIM Bank

78. Commercial banks create money on the basis of:

Cash deposits Number of customers Statutory reserve Debts

79. Monetary policy is formulated by the:

RBI Commercial banks RRBs Government of India

80. The environment is beyond the control of an organisation is known as:

Internal External Micro Human Resources

81. The environment is beyond the control of an organisation is known as:

Intermediaries Customers Legal Suppliers

82. External business environment has been classified into how many groups?

2 3 4 5

83. The term "T" in SWOT analysis stands for:

Transparency Total Revenue Threat Transaction

84. The term "s" in PESTEL stands for:

Strength Social Sustainability Safety

85. Factors that represent the demographic characteristics, norms, customs, and values of the population within which the organisation operates are known as:

Political Social Economic Environmental

86. Stewardship theory was developed in:

1997 1999 2001 2003

87. Which of the following is not an agency cost?

Residual loss Bonding costs Concurrent loss Monitoring costs

88. what concerned with marshalling the human and otherresources of the organisation.

Planning Directing Controlling Organising

89. what is stated that management is the art of getting things done through people.

Louis Allen Mary Parker Follet Henri Fayol Peter Drucker

90. Determining the time sequence of a job is called:

Planning Forecasting Scheduling Objective

91. The process of dividing the work of the organisation into various units or departments is known as:

Departmentation Delegation of Authority Decentralisation of Authority Responsibility

92. Which of the following is an 'on-the-job' training method?

Conference Sensitivity Training Position Rotation Brainstorming

93. The process of communicating is what a communicator is:

Message Medium Decoding Encoding

94. Under the laissez-faire style of leadership, the policy is to leave things to take their own course, without interfering.

Laissez-faire Autocratic Democratic Servant

95. The process of entrusting part of the work by the superior to his/her subordinates is known as:

Centralisation of Authority Responsibility Delegation of Authority Accountability

96. Management may force workers to call off a strike by giving an ultimatum that otherwise they will be suspended. This is the use of:

Reward power Expert power Referent power Coercive power

97. which leadership is a leadership philosophy in which the goal of the leader is to:

Laissez-faire Autocratic Democratic Servant

98. Maslow's theory explains about:

Human needs Financial needs Machinery needs Technical needs

99. Programmed decisions are usually taken by the managers at which level?

Top level Middle level Lower level Supervisory level

100. Decision-making is a part of which function?

Planning Organising Directing Controlling

June 24 Attempt Session 2

[Choose your options carefully. The MCQ will be automatically submitted once the timer ends, your results will be displayed at the conclusion of the session]

Maths & Stats

Economics & Management