CA Foundation Question Paper with Solution Sep 2024 - MATHS
Question 1
In which of the following there is no impact of presence of extreme observations?
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Question 2
If each observation of a set is divided by 10, then the Standard Deviation of the new observation is:
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Question 3
If the mean and median of a moderately asymmetrical series are 70.8 and 68.6 respectively, then the most probable mode is:
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Question 4
For a moderately. Skewed distribution, which of the following relationship holds?
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Question 5
What is the coefficient of range for the observations 20, 28, 32, 41, 48, 60?
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Question 6
Which one holds correct for any two events A and B 7
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Question 7
The Standard Deviation of the series 3, 6, 9, 12, 15 is:
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Question 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 |
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Question 9
Which of the following pairs pairs of events are mutually exclusive ?
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Question 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 least two students will get success.
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Question 11
If P(A)=0.65 and P(B)=0.15, then P(A) + P(B) is:
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Question 12
Eight labourers are working at a each day of working (in 2): following wages for each day of working (in ₹):
500, 620, 400, 700, 450, 560, 320, 450
If one of the workers is selected at what is the probability that his wage would be less than the average wage?
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Question 13
A box contains shoc pairs of same pattern of different sizes numbered from 1 to 12. If a shoc pair is selected at random, what is the probability that the number on the shoe pair will be a multiple of 5 or 6?
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Question 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
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Question 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 students who obtained more than 70% marks [at z = 1.34 area=0.4099].
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Question 16
If a random variable X follows Poisson distribution such that that P(x - 1) = P(X = 2), then the mean of the distribution is:
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Question 17
The quartile deviation of a normal distribution with Mean of 10 and Standard Deviation of 4 is:
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Question 18
If X and Y are 2 independent normal variables with mean as 10 and 12 and Standard Deviation (S.D.) as 3 and 4 respectively, then (X + Y) distributed is normally
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Question 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 that area, what is the number of drivers with at least 3 accidents in a year? (Given that e = 2.718)
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Question 20
Which of the following statement is correct?
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Question 21
Which, one of the following statement is correct regarding limit regression of the two regression coefficients?
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Question 22
In case of "Insurance profits" and "The number of claims they have to pay", there exists a:
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Question 23
The variance of two variables 'x' and 'y' are 16 and 25 and covariance between 'x' and 'y' is 18.5. Another two variables 'u' and 'v' are defined as u = (x-3)/2 and v = (y-2)/3, then coefficient of correlation between 'u' and 'v' is:
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Question 24
The courses price Index for the year 2021 is 273 with 1010 as base year. The average monthly wages of Industrial worker in year 2023 is ₹ 8,190. What is the real wage?
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Question 25
Time Reversal test is satisfied by
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Question 26
The value index is equal to:
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Question 27
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 the raise in salary is effectively. 330 to 500, then in the real terms,
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Question 28
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 the base?
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Question 29
What is the value for (xb/ xc)(b + c - a) × (xc/ xa)(c + a - b) × (xa/ xb)(a + b - c)
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Question 30
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 the digits are reversed. The number is:
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Question 31
A person purchased 2 apples and 5 bananas banana, I can give you 3 apples. He apple and one banana? to another shop where shopkeeper told him that if you give me 50 and one of 90. Later he visited the cost of one apple and one banana?
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Question 32
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:
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Question 33
The mean proportional between 12x2 and 27y2 is:
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Question 34
log2 log2 log4 256 + 2 log √2 2 is equal to:
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Question 35
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 of fat and 15 units of fibre. The above contents of nutrients are available in the foods as below:
Carbs | Protein | Fat | Fibre | |
Food - 1 | 20 | 5 | 3 | 2 |
Food - 2 | 10 | 2 | 4 | 5 |
If 'r' units of food-1 is mixed with 'y' units of food-2, how dietician recommendation can be expressed?
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Question 36
If one of the root of the equation x then the value of 'k' is:
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Question 37
If one of the root of the cubic equation 3x ^ 3 - 5x ^ 2 - 11x - 3 = 0 is - 1/3 other two roots are:
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Question 38
The shaded area is represented by which of the following option?
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Question 39
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 machine is 72,900, then machine's worth 3 years ago was:
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Question 40
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 rate of interest 6% per annum payable half yearly ?
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Question 41
Kanta wants to accumulate ₹ 4,91,300 in her saving accountafter three years. The rate of interest offered by bank is 6(1/4)% per annum compounded annually. How much amount should she invest today to achieve her target amount?
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Question 42
The sum required to earn a monthly interest of ₹ 1,200 at 18% per annum simple interest is:
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Question 43
The compound interest on ₹ 40,000 at 12% per annum compounded quarterly for 6 months is:
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Question 44
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 the rate of interest per annum is:
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Question 45
What is de prof ₹ 1,000 to be received after two you compoundest annually at 10% imerest rate?
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Question 46
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 have 46. Mr. X makes a after twenty years?
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Question 47
The Earming 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 Compounded Annual Growth Rate (CAGR) of EPS.
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Question 48
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 after 10 payment?
{Where (1.0075)10 - 1.0775}
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Question 49
A Perpetuity has a cash flow of f 625 and a required rate of return of 8%. If the cash flow is expected rate of 4% per year, then the ta constant intrinsic value of this perpetuity (presens value of growing perpetuity) is: to grow at a
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Question 50
What is the annual contribution required by an organization to accumulate ₹20,00,000 in ten years for the construction of a new manufacturing plant, utilizing a sinking fund with an annual interest rate of 6% compounded interest annually?
(Where A (10, 0.06)-13.180785)
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Question 51
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 now, if it matures at par and the investor requires a rate of return of 14%?
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Question 52
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 10% per annum is:
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Question 53
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 are eligible for the post of Principal, while they all six are eligible for the post of Vice-Principal. The number of possible combinations for the selection is:
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Question 54
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 instalments. If each instalment is double than the preceding one, find the value of the last instalment.
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Question 55
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 ways they can sit together.
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Question 56
How many total combinations can be formed 1 of 8 different counters marked as 1. 2. 3. 4. 5. 6. 7 & 8, taking 4 counters at a time and there being at least one odd and one even numbered counter in each combination?
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Question 57
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.
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Question 58
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
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Question 59
If f(x) = x2 + x - 1 and 4f(x) = f(2x) then find the value of 'x'
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Question 60
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:
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Question 61
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:
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Question 62
If fourth term of A.P. series is zero, then what is the ratio of twenty-fifth term to eleventh term ?
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Question 63
If x = t2 and y = t3, then (d2y)/(dx2) is equal to
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Question 64
dx is equal to:
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Question 65
If a set contain n elements, then the total number of proper subsets of set is:
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Question 66
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 newspapers. The number of persons not reading any of the two newspapers are:
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Question 67
If xy × yx = 16 then the value of dy/dx at (2, 2) is:
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Question 68
Find the odd man out from the following series: 7, 23, 47, 119, 171, 287
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Question 69
In a certain code, RIPPLE is written as 613382 and LIFE is written as 8192. How is PILLER written in that code?
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Question 70
AZ, GT, MN,....., YB, EV. The value at blank (…..) space will be:
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Question 72
Find the next number in the series 2, 5, 11, 23, 47...
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Question 73
If TAP is coded as SZO in a language, then how is FRIEND coded in same language?
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Question 74
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 of A, in which direction B was facing?
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Question 75
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 an East facing flat, which is not next to D. F and D gets diagonally opposite flat. A gets a West facing flat and E gets an East facing Whose flat is between A and F?
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Question 76
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 his house is located 200 meters away in the south-west direction from Ritik's house. Girdhari is Jayendra's neighbour and he stays 200 meters away in the south- east direction from Jayendra's house. Ritik is Girdhari's neighbour and his house is located 200 meters away in north-east direction from Girdhari's house. Then where is the position of titik's house in relation to Balkrishna's?
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Question 77
If Ajay stands on his head with his face towards North, in which direction will his left hand point?
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Question 78
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 PM?
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Question 79
Six persons A, B, C, D, E and F are siting 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 D.C does not sit next to D. F is between which of the following person?
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Question 80
In a school cultural committee meeting four girls Dipti, Aruna, Chandra, Bindu and four boys Gautam, Faneesh, Harendra, Eshaan are sitting in a circle around a table, facing each other as under:
(i) No two girls or boys are sitting side by side.
(ii) Chandra, who is sitting between Gamam and Eshaan, is facing Dipti.
(iii) Faneesh is between Dipti and Arundland facing Gautam.
(iv) Harendra is to the right of Bindu.
Identify the person whom Eshaan is facing.
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Note: Read the following information carefully and answer the questions (81 to 82) given below:
Six persons B, D, C, M, J and K are split into groups of three each and are made to stand in two rows in such a way that a person in one row is exactly facing a person in the other row. M is not at the ends of any row and is to the right of J, who is facing C. K is to the left of D who is facing M.
Question 81
Which of the following persons are in the same row?2
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Question 82
Who is to the immediate left of B?
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Question 83
During an interview, seven applicants sitting in tow are awaiting their turn. Chandresh is sitting left to to Kuldeep but on the right to Diksha, Reshma is sitting right to Kuldeep, Priyanka is sitting right to Gayatri but left to Diksha. Himani is sitting left to Gayati. The person sitting in the middle must be:
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Question 84
A is B's Father C is B's mother. D is C's Son bis A's mother. Then how is A related to D?
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Question 85
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 the man in photograph?
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Question 86
The Secondary data is collected by:,
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Question 87
Exit polls are an example of which method of collecting data?
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Question 88
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 contractor, S is grandmother of T and is a house-wife. There is one doctor, one contractor, one Professor, one house-wife and two students in the family. Find who is the husband of P.
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Question 89
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? Q-R-
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Question 90
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 related to Manak?
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Question 91
The Ogive can be used for making
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Question 92
Numerical data presented in descriptive form are called:
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Question 93
The distribution of commuters coming to a Metro station from early morn hours to peak morning hours follows which type of of frequency curve?
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Question 94
What is the range of a de a set?
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Question 95
Series in which frequencies are continuously added corresponding to class interval in the series:
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Question 96
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 mean of both the groups is
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Question 97
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 |
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Question 98
What type of data is most appropriate presenting using a Pie chart?
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Question 99
If the class intervals boundaries is data are 10-14, 15-19, 20-24, then the first class
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Question 100
What is the purpose of stratified random sampling?
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