CA Foundation Quantitative Aptitude PYQ May 2025: Question Paper and Solutions

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

1. A startup business was initiated by an entrepreneur by investing ₹ 1,40,000. His friend joined him after six months with an amount of ₹ 2,10,000.…
2. The sum of three numbers is 98. If the ratio of the first to second number is 2:3 and that of the second to third is 5:8, then the second number is
3. If log a+b / 4 = 1 / 2 (log a + log b), then the value of a / b + b / a will be
4. If 4 x = 5 y = 20 z then z is equal to
5. If ₹ 58 is divided among 150 children such that each girl and each boy gets 25 p and 50 p respectively. Then how many girls are there?
6. Puru gets on the elevator at the 11 th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Ishu gets on an…
7. The quadratic equation 2x 2 - √5 x + 1 = 0 has
8. For equation x 3 -6x 2 +5x+12 = 0, the product of two roots is 12. Which of the following is correct set of roots of the equation?
9. On solving the inequalities 6x + y ≥ 18, x + 4y ≥ 12, 2x + y ≥ 10; which of the following are correct solutions?
10. The longest side of a triangle is 2 times the shortest side and the third side is 4 cm shorter than the longest side. If the perimeter of the…
11. A sum of ₹ 725 is lent in the beginning of a year at a certain rate of simple interest. After 8 months, a sum of ₹ 362.50 more is lent but at the…
12. There is 60% increase in amount in 6 years at simple interest. What will be the compound interest of ₹ 12,000 after three years at the same rate?
13. The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is
14. The compound interest on a certain sum for 2 years at 10% per annum is ₹ 525. The simple interest on the same sum for double the time at half the…
15. Find the future value of an investment of ₹ 7,000 compounded quarterly at 10% per annum for 3 years. [Given that (1.025) 12 = 1.34489]
16. Raju will pay instalments of ₹ 3,150 per month for the next 3 years towards his loan at an interest rate 12.4%, discounted monthly, what was the…
17. Shiv deposits ₹ 10,000 annually in a bank for 5 years, at 10 percent annual compounding interest rate. Calculate the approximate value of this…
18. If you deposit ₹ 4,000 into an account paying 6% annual interest compounded quarterly, how much approximate money will be in the account after 5…
19. Relationship between annual nominal rate of interest and annual effective rate of interest, if frequency of compounding is greater than one
20. Madhu invests ₹ 15,000 in a scheme and at the time of maturity the amount became ₹ 25,000. If CAGR for this investment is 8.88%, calculate the…
21. How much approximate amount should you save annually to accumulate ₹ 20,00,000 by the end of 12 years, if the saving earns an interest of 14 percent…
22. Dinesh received a cash bonus of ₹ 1,00,000 which he deposited in a bank which pays 10 percent interest compounded annually. How much approximate…
23. Find the approximate future value of an annuity due of ₹ 500 per quarter for 8 years and 9 months at the interest rate of 6% compounded quarterly.…
24. A project is expected to provide cash inflows as follows for 3 years: Year 1 2 3 Cash Inflows (₹): 40,000 50,000 30,000 The company's cost of…
25. In how many of distinct permutations of the letters in "MISSISSIPPI" when four I's do not come together?
26. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
27. Seema, Bharati, Priyanka, Khusboo and Lalita are 5 speakers. The number of ways in which Seema will always speak before Bharati shall be -
28. A team of 3 persons is to be constituted from a group of 2 men and 3 women. In how many ways can this be done if these teams would consist of 1 man…
29. Find the sum of n terms of the A.P., whose n th term is 5n + 1
30. The sum of first three terms of a G.P. is 21 / 2 and their product is 27. Which of the following is not a term of the G.P., if the numbers are…
31. Insert 4 numbers between 2 and 22 such that the resulting sequence is an Arithmetic Progression (A.P.).
32. Find the sum of series 1 + 1 / 2 + 1 / 4 + ......... upto 6 terms.
33. Which of the following relations is transitive but not reflexive for the set S = {3, 4, 6}?
34. If A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6} the value of A – {B ∩ C} is -
35. The range of the function f(x) = 3x - 2 is
36. Find the value of lim x → 4 (x² - 2x - 8) / (x - 4)
37. Evaluate: ∫ (3x - 2)² dx
38. Determine f(x), given that f' (x) = 12x² - 4x and f(- 3) = 17
39. Find dy / dx where e x + e y = e x+y
40. What is the differential function of √(x² + 2) ?
41. Identify the next number in the following series: 2, 8, 26, 62, 122, 212, ____
42. Find the missing number in the given series: 4, 18, ____, 100, 180, 294, 448
43. Find the odd man out from the following: 445, 221, 109, 46, 25, 11, 4
44. In a certain code "CH4IR" is written as "GL8MV". How is "1N5T4GR4M" is written in that code?
45. A certain code "564" means "all the best", "736" means "best of luck" and "423" means "all is luck". Which of the following is the code for "luck"?
46. A man is facing North-West. He turns 90° in the clockwise direction, then 180° in the anticlockwise direction and then another 90° in…
47. Rajni walked 20 m towards the North. Then she turned right and walks 30 m. Then she turns right and walks 35 m. Then she turns left and walks 15 m.…
48. At a crossing, there was a direction pole, which was showing all the four correct directions. But due to the wind, it turns in such a manner that…
49. Two cars start from the opposite places on a highway, 150 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then…
50. Some boys are sitting in three rows all facing North such that A is in the middle row. P is just to the right of A but in the same row. Q is just…
51. Seven persons namely H, I, J, K, M, N, O are sitting in a straight line facing North direction. Total three number of persons are sitting between H…
52. A, B, C, D and E are sitting on a bench. A is sitting next to B, C is sitting next to D, D is not sitting with E who is on the left end of the…
53. In a class, there are seven students (including boys and girls) A, B, C, D, E, F and G. They sit on three benches I, II and III, such that at least…
54. Five boys A, B, C, D and E are sitting in a row. A is to the right of B and E is to the left of B but to the right of C. A is to the left of D. Who…
55. Six friends P, Q, R, S, T and U are sitting around the hexagonal table each at one corner and are facing the centre of the hexagonal. P is second to…
56. If "A # B" means A is father of B, "A*B" means A is brother of B, "A @ B" means A is mother of B, then which of the following is correct about G@T#P?
57. Pointing to a photograph, Rajesh said, "He is Aarav and he is the son of the only daughter of the father of my brother", how Rajesh is related to…
58. Study the following information carefully: A3P means A is the mother of P. A4P means A is the brother of P. A9P means A is the husband of P. A5P…
59. Q, W, E, R, T and Y are members of a family consisting of two children, one of whom is T is a boy. Q and R are brothers and Q is an engineer. E is a…
60. K is the son of A's mother's sister. Q is daughter of D, who is the father of G and grandfather of A. P is the daughter of H, who is grandmother of…
61. The mode of a continuous frequency distribution can be determined graphically from
62. Frequency density corresponding to a class interval for the continuous frequency distribution, is the ratio of
63. The curve obtained by joining the points, whose X co-ordinates are the upper limits of the class intervals and Y co-ordinates are corresponding…
64. The following data relate to the wages of a group of workers: Wages (in ₹) Below 100 Below 200 Below 300 Below 400 No. of workers: 15 38 65 90 How…
65. The law of statistical regularity says that
66. A population comprises 5 members. The number of possible samples of size 2, that can be drawn from it with replacement is
67. Which of the following statements about simple random sampling is NOT true?
68. A frequency curve which starts with a minimum frequency and then gradually reaches its maximum frequency at the other extremity is known as
69. In tabulation, source of data, if any, is shown in the
70. A helicopter flies from A to B at the rate of 500 km/hr. and comes back at the rate 700 km/hr. The average speed of the helicopter is
71. If Arithmetic Mean (A.M.) and Geometric Mean (G.M.) of two numbers are 6.50 and 6 respectively, then the two numbers are
72. Which of the following is not a method of dispersion?
73. Find out co-efficient of variation, if N = 14, ∑fx = 280 and σ(S.D.) = 3.
74. The monthly profit/loss for six months of the firm is as under: Months January February March April May June Profit/loss (in ₹): 1,000 900 0 -200…
75. Which one of the following is the absolute measure of dispersion for open ended distributions?
76. If the mean of the following frequency distribution is 2.6, then the value of Y is Marks (X): 1, 2, 3, 4, 5 No. of Students (f): 8, 10, Y, 2, 4
77. Which one of the following measures of central tendency is based on only fifty percent (50%) of the central values?
78. The Arithmetic Mean (A.M.) and mode of the data are 32 and 26, respectively, then find the median of the data.
79. Find out the mode from the following data: 100, 110, 125, 225, 325, 125, 90, 80, 455, 375, 125
80. Two dice are thrown simultaneously. Find the probability that the sum of digits on the two dice would be 8 or more.
81. A number is selected from the first 20 natural numbers. Find the probability that it would be divisible by 3 or 7.
82. A father had three sons namely, Kailash, Harish and Prakash. All are above 65 years in age. Prakash happens to be the eldest while Kailash as…
83. In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected is
84. Two cards are drawn from a pack of 52 cards. The probability that one is a spade and one is a heart; is
85. A problem is given to 5 students P, Q, R, S and T. If the probability of solving the problem individually is 1 / 2 , 1 / 3 , 2 / 3 , 1 / 5 and 1 / 6…
86. In a leap year, what is the probability that there will be 53 Sundays?
87. Poisson probability distribution is appropriately applied in
88. If the points of inflexion of a normal curve are 6 and 14, then standard deviation of the distribution is
89. What is the probability of making 3 corrected guesses in 5 True-False answer type questions?
90. If 5% of the families in large population city do not use gas as a fuel, what will be the probability of selecting 10 families in a random sample of…
91. The correlation co-efficient between X and Y is 0.8. If we add a number 10 in the X variable and subtracted 20 from Y variable, then the new…
92. When both the regression co-efficients are b xy = 0.7 and b yx = 0.8, respectively, then correlation co-efficient between x and y is
93. For 9 college students group, the sum of squares of differences in ranks for History and Hindi marks was found to be 62, then what is the value of…
94. If r = 0.7 then co-efficient of non-determination is
95. Given x = 2y + 4 and y = kx + 6 are the two lines of regression x on y and y on x respectively. If the value of correlation co-efficient (r) is 0.5,…
96. If ∑P n q n = 249, ∑P 0 q 0 = 150, ∑P n q 0 = 145 and Paasche's Index Number = 150, then Fisher's Ideal Price Index Number is
97. From the following data, find out an Index number for 2022 taking 2021 as base (using simple aggregative method): Commodities: A, B, C Price in…
98. From the following chain base index numbers based on 2015, find out new chain base index number for the year 2022 by shifting the base year 2019.…
99. The prices of a commodity in the years 2015 and 2020 were 50 and 60 respectively. Price relative of 2015 on 2020 is
100. Chain Index is equal to