CA Foundation Quantitative Aptitude PYQ September 2024: Question Paper and Solutions

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Question directory and available solutions

100 indexed questions. Open a question to read its full statement and available answer.

1. In which of the following there is no impact of presence of extreme observations?
2. If each observation of a set is divided by 10, then the Standard Deviation of the new observation is :
3. If the mean and median of a moderately asymmetrical series are 70.8 and 68.6 respectively, then the most probable mode is :
4. For a moderately-skewed distribution, which of the following relationship holds?
5. What is the coefficient of range for the observations 20, 28, 32, 41, 48, 60?
6. Which one holds correct for any two events A and B ?
7. The Standard Deviation of the series 3, 6, 9, 12, 15 is:
8. The quartile deviation of the distribution of the following data is: x: 2, 3, 4, 5, 6 f(x): 2, 4, 8, 4, 1
9. Which of the following pairs of events are mutually exclusive ?
10. The probability of success of three students in CA Foundation examination are 1 / 5 , 1 / 4 and 1 / 3 respectively. Find the probability that at…
11. If P(A) = 0.65 and P(B)= 0.15, then P(A') + P(B') is :
12. Eight labourers are working at a construction site with the following wages for each day of working (in ₹) : 500, 620, 400, 700, 450, 560, 320, 450…
13. A box contains shoe pairs of same pattern of different sizes numbered from 1 to 12. If a shoe pair is selected at random, what is the probability…
14. Two cards are drawn at random from a pack of 52 cards. The probability of getting either both the red cards or both Kings cards is :
15. In a class of 100 students, the mean marks was 50 with standard deviation 14.9. Assuming the distribution of marks to be normal, find the number of…
16. If a random variable X follows Poisson distribution such that P(X = 1) = P(X=2), then the mean of the distribution is :
17. The quartile deviation of a normal distribution with Mean of 10 and Standard Deviation of 4 is:
18. If X and Y are 2 independent normal variables with mean as 10 and 12 and Standard Deviation as 3 and 4 respectively, then (X + Y) is normally…
19. The number of accidents in a year attributed to taxi drivers in a locality follows Poisson distribution with average 2. Out of 500 taxi drivers of…
20. Which of the following statement is correct?
21. Which one of the following statement is correct regarding limit of the two regression coefficients ?
22. In case of “insurance companies' profits” and “The number of claims they have to pay”, there exists a :
23. The variance of two variables 'x' and 'y' are 16 and 25 and covariance between 'x' and 'y' is 18.5. Another…
24. The consumer price index for the year 2023 is 273 with 2010 as base year. The average monthly wages of industrial worker in year 2023 is ₹ 8,190.…
25. Time Reversal test is satisfied by:
26. Balkrishna is Ritik's neighbour and his house is 200 meters away in the north-west direction from Ritik's house. Jayendra is Ritik's neighbour and…
27. If Ajay stands on his head with his face towards North, in which direction will his left hand point ?
28. If Kiran put her time-piece on the table in such a way that at 6:00 PM, hour hand points to East. In which direction the minute hand will be at 9:30…
29. Six persons A, B, C, D, E and F are sitting in a row in a straight line. B is between F & D. E is between A & C. A does not sit next to F or…
30. In a school cultural committee meeting, four girls Dipti, Aruna, Chandra, Bindu and four boys Gautam, Faneesh, Harendra, Eshaan are sitting in a…
31. Which of the following persons are in the same row?
32. Who is to the immediate left of B?
33. During an interview, seven applicants sitting in a row are awaiting their turn. Chandresh is sitting left to Kuldeep but on the right to Diksha,…
34. A is B's Father. C is B's mother. D is C's Son. E is A's mother. Then how is A related to D?
35. Pointing to a man in photograph, a woman said "The father of his brother is only son of my grandfather", then how is that woman related to…
36. The Secondary data is collected by :
37. Exit polls are an example of which method of collecting data ?
38. A family consists of six members P, Q, R, S, T & U. There are two married couples. Q is a doctor and father of T; U is grandfather of R and is a…
39. P is the son of Q while Q & R are sisters to one another. T is the mother of R. If S is son of T, how S is related to P ?
40. Sandhya is the daughter-in-law of Shailesh and sister-in-law of Rajan. Manak is son of Shailesh and only brother of Rajan. Then, how Sandhya is…
41. The Ogive can be used for making
42. Numerical data presented in descriptive form are called :
43. The distribution of commuters coming to a Metro station from early morning hours to peak morning hours follows which type of frequency curve?
44. What is the range of a data set ?
45. Series in which frequencies are continuously added corresponding to each class interval in the series :
46. The mean of a group X is 70 and the mean of group Y is 85. If the number of observations in group Y is five times that of group X, then the combined…
47. The Median of the following frequency distribution is : x 0-10 10-20 20-30 30-40 40-50 f(x) 8 30 40 12 10
48. What type of data is most appropriate for representing using a Pie chart ?
49. If the class intervals of certain data are 10-14, 15-19, 20-24, then the first class boundaries is
50. What is the purpose of stratified random sampling ?
51. The value index is equal to :
52. During a certain period the cost of living index goes up from 110 to 200 and the salary of a worker is also raised from ₹ 330 to ₹ 500, then in the…
53. Which one of the following test of adequacy is concerned with the measurement of price changes over a period of years, when it is desirable to shift…
54. What is the value of (x b ) (b+c-a) (x c ) (c+a-b) (x a ) (a+b-c) ?
55. A number consists of two digits. The digits in the ten's place is 3 times the digit in the unit's place. If 54 is subtracted from the number, then…
56. A person purchased 2 apples and 5 bananas at the cost of ₹ 90. Later he visited to another shop where shopkeeper told him that if you give me ₹ 50…
57. The ratio of income of A and B is 5 : 4 and their expenditure is 3 : 2. If at the end of year each saves ₹ 1,600, then the income of A is:
58. The mean proportional between 12x 2 and 27y 2 is:
59. log 2 log 2 log 4 256 + 2 log 2 1 / √2 is equal to:
60. A dietician recommends mixture of two kinds of foods to a person so that mixture contains at least 45 units of carbs, 25 units of protein, 15 units…
61. If one of the root of the equation x 2 - 3x + k = 0 is 1, then the value of 'k' is :
62. If one of the root of the cubic equation 3x 3 - 5x 2 – 11x – 3 = 0 is 1 / 3 , then other two roots are :
63. The shaded area is represented by which of the following option ?
64. The value of a machine depreciates every year at the rate of 10% per annum, on its value at the beginning of that year, If the present value of the…
65. What is the effective rate of interest when principal amount of ₹ 50,000 deposited in a nationalized bank for one year, corresponding to a nominal…
66. Kanta wants to accumulate ₹ 4,91,300 in her savings account after three years. The rate of interest offered by bank is 6 1 / 4 % per annum…
67. The sum required to earn a monthly interest of ₹ 1,200 at 18% per annum simple interest is :
68. The compound interest on ₹ 40,000 at 12% per annum compounded quarterly for 6 months is :
69. At a certain rate of interest per annum, the difference between the compound interest and simple interest on ₹ 3,00,000 for two years is ₹ 480, then…
70. What is the present value of ₹ 1,000 to be received after two years compounded annually at 10% interest rate?
71. Mr. X makes a deposit of ₹ 12,000 in a bank where the amount doubles at compound interest in 5 years, then what will be the total amount he will…
72. The Earning Per Share (EPS) of a company for five years is given below : Year: 2019, 2020, 2021, 2022, 2023 EPS: 40, 25, 40, 60, 90 Calculate the…
73. In an account paying interest @ 9% per year compounded monthly, ₹ 200 is invested at the end of each month. What is the future value of this annuity…
74. A Perpetuity has a cash flow of ₹ 625 and a required rate of return of 8%. If the cash flow is expected to grow at a constant rate of 4% per year,…
75. What is the annual contribution required by an organization to accumulate ₹ 20,00,000 in ten years for the construction of a new manufacturing…
76. An investor intends to purchase a three year ₹ 1,000 par value bond having nominal interest rate of 10%. At what price the bond may be purchased…
77. A loan of ₹ 16,550 is to be paid in three equal annual instalments at compound interest. The value of annual instalment, if the rate of interest is…
78. A selection is to be made for one post of Principal and two posts of Vice-Principal. Amongst the six candidates called for the interview, only two…
79. A roadside tea stall merchant borrows ₹ 9,000 at 2.76% Simple Interest per annum. The principal and the interest are to be paid in 10 monthly…
80. In a class of 4 boys and 3 girls, they are required to sit in a row in such a way that no two girls can sit together. Compute, in how many different…
81. How many total combinations can be formed of 8 different counters marked as 1, 2, 3, 4, 5, 6, 7 & 8, taking 4 counters at a time and there being…
82. In a party every person shakes hands with every other person. If there are 105 handshakes in total, find the number of persons in the party.
83. Let A = {1, 2, 3} and consider the relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)}, then R is
84. If f(x) = x 2 + x - 1 and 4f(x) = f(2x), then find the value of 'x'.
85. If for an infinite geometric progression, first term is 'a', common ratio is 'r', the sum is 8 and the second term is 7 / 8 , then :
86. The numbers x, 8, y are in G.P. and the numbers x, y, −8 are in A.P. The values of x and y respectively shall be :
87. If fourth term of A.P. series is zero, then what is the ratio of twenty-fifth term to eleventh term ?
88. If x = t 2 and y = t 3 , then d 2 y / dx 2 is equal to :
89. ∫ log e x dx is equal to :
90. If a set contain n elements, then the total number of proper subsets of set is :
91. A town has a total population of 50,000. Out of it 28,000 read the newspaper 'X' and 23,000 read newspaper 'Y', while 4,000 read both the…
92. If x y y x = 16, then the value of dy / dx at (2, 2) is :
93. Find the odd man out from the following series : 7, 23, 47, 119, 171, 287
94. In a certain code, RIPPLE is written as 613382 and LIFE is written as 8192. How is PILLER written in that code?
95. AZ, GT, MN,....., YB, EV. The value at blank space will be :
96. Evaluate the following integral ∫ 1 / x(x 5 +1) dx
97. Find the next number in the series 2, 5, 11, 23, 47, ...
98. If TAP is coded as SZO in a language, then how is FRIEND coded in same language ?
99. One morning after sunrise, A and B were talking to each other face to face very closely at a crossing point. If B's shadow was exactly to the right…
100. In a multi-storey building on one floor there are six flats in two rows facing East and West and they are allotted to A, B, C, D, E, and F. B gets…