Sample Paper Series- I

# Sample Paper Series- I

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## 100 Questions MCQ Test Mock Tests & Past Year Papers for CA Foundation | Sample Paper Series- I

Sample Paper Series- I for CA Foundation 2023 is part of Mock Tests & Past Year Papers for CA Foundation preparation. The Sample Paper Series- I questions and answers have been prepared according to the CA Foundation exam syllabus.The Sample Paper Series- I MCQs are made for CA Foundation 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Sample Paper Series- I below.
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Sample Paper Series- I - Question 1

### The ratio compounded of 2:3, 9:4, 5:6 and 8: 10 is

Sample Paper Series- I - Question 2

### The sub-triplicate ratio of 8: 27

Sample Paper Series- I - Question 3

### If , the process is called

Sample Paper Series- I - Question 4

​The value of Sample Paper Series- I - Question 5

​If a = log12 24, b = log36 24 ,b = log48 36 then prove that 1 + abc =

Sample Paper Series- I - Question 6

If x = 51/3 + 5-1/3, 5x3 - 15x  is given by

Sample Paper Series- I - Question 7

Ten years ago the age of a father was four times his son. Ten years hence the age of the father will be twice that of his son. The present age of the father and the son are

Sample Paper Series- I - Question 8

When two roots of quadratic equations are α and 1/α then what will be quadratic equation.

Sample Paper Series- I - Question 9

Let α and β be the roots of equation x2+7 x + 12 = 0. Then the value of will be

Sample Paper Series- I - Question 10

If A = then Adjoint of Matrix A

Sample Paper Series- I - Question 11

If A = and A = AT, then

Sample Paper Series- I - Question 12

If A = (here i2 = -1) then IAI =

Sample Paper Series- I - Question 13

​On solving the inequalities 5x + y ≤100, x + y ≤ 60, x ≥ 0 and y ≥ 0, we get the following situation.

Sample Paper Series- I - Question 14

A certain m oney doubles itself in 10 years when deposited on sim ple interest. It would triple itself in

Sample Paper Series- I - Question 15

A man deposited Rs. 8, 000 in a bank for 3 years at 5% per annum compound interest, after 3 years he will get

Sample Paper Series- I - Question 16

The effective rate of interest for one year corresponding to a nominal at 7% rate of interest per annum convertible quarterly is

Detailed Solution for Sample Paper Series- I - Question 16

r = 7% p.a i.e 1.75% per quarter(7/4).
so 1+reff = (1.0175)4 = 1.071859
implies reff = 7.1859

Sample Paper Series- I - Question 17

The value of furniture deprec iates by 10% a year, if the present valu e of the furniture in an offic e is Rs. 21870, calculate the value of furniture 3 years ago.

Sample Paper Series- I - Question 18

The population of a town increases every year by 2 % of the population beginning of that year. The number of years by which the total increase of population be 40% is

Sample Paper Series- I - Question 19

Find the future value of an annuity of Rs. 500 m ade annually for 7 years at interest rate of 14 % per annum [Given that (1.14)7 = 2.5023]

Sample Paper Series- I - Question 20

Rs. 200 invested at the end of each month in an account paying interest 6% per year compounded monthly. What is the future value of this annuity after 10 th paym ent? [Given that (1.005) 10 = 1.0511]

Sample Paper Series- I - Question 21

Suppose your father decides to gift you Rs. 10,000 every year starting from today for the next five years, you deposit this amount in a bank as and when you receive and get 10% per annum interest rate compounded annually. What is the present value of this annuity? ( P(4, 0.10) = 3.16987)

Sample Paper Series- I - Question 22

Nominal Rate of Return =

Sample Paper Series- I - Question 23

Net Present Value (NPV)

Sample Paper Series- I - Question 24

The annual birth rates per 1,000 are 39.4 and 19.4 respectively. The number of years which the population will be doubled assuming there is no immigration or emigration is

Sample Paper Series- I - Question 25

Y bought Motor Bike Costing 80,000 by making down payment of Rs. 30000 and agreeing to make annual payment for four years. How much would be each payment if the interest on unpaid amount be 14% compounded annually. [Given P (4, 0.14) = 2.91371]

Sample Paper Series- I - Question 26

The value of K, for which the terms 7K +3, 4K-5, 2K+10 are in A.P., is

Sample Paper Series- I - Question 27

If A = {1,2,3,4} and B = {1,4,9,16,25} is a function of f is defined set A to B where f(x) = x2 then the range of f is

Sample Paper Series- I - Question 28

If nPr = 336 and nCr = 56, then n and r will be

Sample Paper Series- I - Question 29

If A = {1,2,3,4,5,6,7} and B = {2,4,6} Cardinal number of AUB

Sample Paper Series- I - Question 30

In how many ways the letters of the word ‘ARRANGE’ be arranged?

Sample Paper Series- I - Question 31

The num ber of ways in whic h 8 exam ination papers be arranged so that the best and worst papers never come together.

Sample Paper Series- I - Question 32

nPr = 720 and nCr = 120 then value of r is

Sample Paper Series- I - Question 33

Find the three numbers in G.P, whose sum is 19 and produc t is 216.

Sample Paper Series- I - Question 34

The nth term of the sequenc e -1,2, -4, 8,.is

Sample Paper Series- I - Question 35

If f(x) = x+3 and g(x) = x2, then fog(x)

Sample Paper Series- I - Question 36

​Given x = 2t + 5, y = t2 -2; dy/dx is c alc ulated

Sample Paper Series- I - Question 37

The slope of the tangent to the curve y = x2-x at the point, where the line y= 2 cuts the curve in the first quadrant, is

Sample Paper Series- I - Question 38

For the curve x2+y2+2gx+2hy = 0, the value of dy/dx at (0,0) is

Sample Paper Series- I - Question 39 Sample Paper Series- I - Question 40 Sample Paper Series- I - Question 41

Find the missing term of the number series 24, 60, 120, 210,?

Sample Paper Series- I - Question 42

GO = 32, SHE = 49, then SOME will be equal to

Sample Paper Series- I - Question 43

in a c ertain Code DECEM BER is written as ERM BCEDE. Whic h word will be written as ERM BVENO in that code?

Sample Paper Series- I - Question 44

Find the missing term of the number series 48, 24, 96,48,192,?

Sample Paper Series- I - Question 45

Ramu walks 5 Kms starting from his house towards west then turns right and walks 3 km. Thereafter he takes left turn and walks 2 km. Further, he turn left and walks 3 km. Finally, he turns right and walks 3 kms. In what direction he is now from his house.

Detailed Solution for Sample Paper Series- I - Question 45

Towards West Sample Paper Series- I - Question 46

Six children A, B, C, D, E and F are sitting in a row. B is between F and D. E is between A and C. However, A does not stand next to F or D. C does not stand next to D. F is between which of the following pairs of children?

Sample Paper Series- I - Question 47

Five students are A,B,C,D and E are standing in arrow . D is on the right of E; B is on the left of E but on right of A. D is next to C on his left. The student in middle is

Sample Paper Series- I - Question 48

Study the following information carefully to answer the given questions. Eight person’s P to W are sitting in front of one another in two rows. Each row has four persons. P is between U and V and facing North. Q, who is to the immediate left of M is facing W. R is between T and M and W is to the immediate right of V.
Q. Who is sitting in front of R?

Sample Paper Series- I - Question 49

Study the following information carefully to answer the given questions. Eight person’s P to W are sitting in front of one another in two rows. Each row has four persons. P is between U and V and facing North. Q, who is to the immediate left of M is facing W. R is between T and M and W is to the immediate right of V.
​Q. Who is to the im m ediate right of R?

Sample Paper Series- I - Question 50

Study the following information carefully to answer the given questions. Eight person’s P to W are sitting in front of one another in two rows. Each row has four persons. P is between U and V and facing North. Q, who is to the immediate left of M is facing W. R is between T and M and W is to the immediate right of V.
​Q. In which of the following pairs, persons are sitting in front of each other?

Sample Paper Series- I - Question 51

In each of the of the following below are given two statements followed by two conclusion numbered I and II. You have to take the given two statements to be true even if they seem to be variance from commonly known facts. Read the conclusions logically follows from the two given statements. Disregarding commonly known facts.
Statements: I. Some rats are Cats II. All Cats are bats.
Conclusions: No rats are cats Some rats are bats.

Sample Paper Series- I - Question 52

In each of the of the following below are given two statements followed by two conclusion numbered I and II. You have to take the given two statements to be true even if they seem to be variance from commonly known facts. Read the conclusions logically follows from the two given statements. Disregarding commonly known facts.
Statements: I. No house is an apartment.
II. Some apartments are bungalows.
Conclusions: No house is a bungalow.
All bungalows being houses is a possibility.

Sample Paper Series- I - Question 53

In each of the of the following below are given two statements followed by two conclusion numbered I and II. You have to take the given two statements to be true even if they seem to be variance from commonly known facts. Read the conclusions logically follows from the two given statements. Disregarding commonly known facts.
Statements: I. All Pens are ink.
II. No ink is an eraser.
Conclusions: No pen is an eraser.
Some erasers are pens.

Sample Paper Series- I - Question 54

In each of the of the following below are given two statements followed by two conclusion numbered I and II. You have to take the given two statements to be true even if they seem to be variance from commonly known facts. Read the conclusions logically follows from the two given statements. Disregarding commonly known facts.
Statements: I. No toffee is Coffee
II. No Sweet is Toffee.
Conclusions: No coffee is sweet.
All sweets are coffee.

Sample Paper Series- I - Question 55

C is mother of A and B. If D is the husband of B, then what is C to D

Sample Paper Series- I - Question 56

A is B’s sister, C is B’s mother, D is C’s father of E is D’s mother, then how is A related D?

*Multiple options can be correct
Sample Paper Series- I - Question 57

A, Q, Y and Z are different persons. Z is the father of Q. A is the daughter of Y and Y is the son of Z. If P is the son of Y and B is the brother of P, then

Sample Paper Series- I - Question 58

A is father of C and D is son of B. E is brother of A. If C is sister of D how is B related to E?

Sample Paper Series- I - Question 59

A Driver left his village and drove North for 20 Km , after whic h he stopped for breakfast.  T hen he turned left and drove another 30 km, when he stopped for lunch. After some rest, he again turned left and drove 20 kms before stopping for evening tea.  Once more he turned left and drove 30 kms to reach the town where he had supper.  After evening tea in which direction did he drive?

Sample Paper Series- I - Question 60

A man is facing East, then he turns left and goes 10m then turns right and goes 5 m then goes 5 m to the South and from there 5 m to West. In which direction is be from his original place?

Detailed Solution for Sample Paper Series- I - Question 60

Draw a figure as per given instruction in the question. We can see that according to graph he is towards north from his original position Sample Paper Series- I - Question 61

Statistics is applied in

Sample Paper Series- I - Question 62

The primary data are collected by

Sample Paper Series- I - Question 63

The best method to collect data, in case of a natural calamity, is

Sample Paper Series- I - Question 64

‘Stub’ of a table is the

Sample Paper Series- I - Question 65

Pie-diagram is used for

Sample Paper Series- I - Question 66

For open-end classification, which of the following is the best measure of central tendency?

Sample Paper Series- I - Question 67

The presence of extreme observations does not affect

Sample Paper Series- I - Question 68

For a moderately skewed distribution, which of the following relationship holds?

Sample Paper Series- I - Question 69

Which of the following results hold for a set of distinct positive observations?

Sample Paper Series- I - Question 70

Quartiles are the values dividing a given set of observations into

Detailed Solution for Sample Paper Series- I - Question 70

quartiles are values that divide a complete given set of observations into four equal parts. Basically, there are three types of quartiles, first quartile, second quartile, and third quartile

Sample Paper Series- I - Question 71

If x and y are related by x–y–10 =0 and mode of x is known to be 23, then the mode of y is

Detailed Solution for Sample Paper Series- I - Question 71

Step-by-step explanation:

Given equation,

x - y - 10 = 0,

We have,

|x| = 23

⇒ x = ± 23   { since, |x| = x if x > 0 and |x| = -x if x < 0 }

Case 1 : If x = 23,

23 - y - 10 = 0

13 - y =0

⇒ y = 13

Case 2 : If x = -23

-23 - y - 10 =0

-33-y = 0

⇒ y = -33

The value of |y| would be 13 or 33.

Sample Paper Series- I - Question 72

What is the value of the first quartile for observations 15, 18, 10, 20, 23, 28, 12, 16?

Sample Paper Series- I - Question 73

If the relationship between two variables u and v are given by 2u + v + 7 = 0 and if the AM of u is 10, then the AM of v is

Sample Paper Series- I - Question 74

​Which one is an absolute measure of dispersion?

Sample Paper Series- I - Question 75

The range of 15, 12, 10, 9, 17, 20 is

Sample Paper Series- I - Question 76

The standard deviation of, 10, 16, 10, 16, 10, 10, 16, 16 is

Sample Paper Series- I - Question 77

If all the observations are multiplied by 2, then

Detailed Solution for Sample Paper Series- I - Question 77

If each observation is multiplied by 2, then mean(μ) will get doubled.

Now, variance Now here both X and μ will be doubled, so the variance will become four times.

and SD is square root of variance, so SD will be double of initial SD

Sample Paper Series- I - Question 78

The quartiles of a variable are 45, 52 and 65 respectively. Its quartile deviation is

Sample Paper Series- I - Question 79

If P(A∩B) = 0, then the two events A and B are

Sample Paper Series- I - Question 80

If A, B and C are mutually exclusive and exhaustive events, then P(A) + P(B) + P(C) equals to

Sample Paper Series- I - Question 81

Variance of a random variable x is given by

Sample Paper Series- I - Question 82

If a card is drawn at random from a pack of 52 cards, what is the chance of getting a Spade or an ace?

Sample Paper Series- I - Question 83

Given that P (A) = 1/2, P (B) = 1/3, P (AB) = 1/4, what is P (A’/B’)

Sample Paper Series- I - Question 84

A binomial distribution is

Sample Paper Series- I - Question 85

The maximum value of the variance of a binomial distribution with parameters n and p is

Sample Paper Series- I - Question 86

The total area of the normal curve is

Sample Paper Series- I - Question 87

The interval (µ - 3σ, µ + 3σ) covers

Sample Paper Series- I - Question 88

If the mean deviation of a normal variable is 16, what is its quartile deviation?

Sample Paper Series- I - Question 89

If the points of inflexion of a normal curve are 40 and 60 respectively, then its mean deviation is

Detailed Solution for Sample Paper Series- I - Question 89

Given : If the points of inflexion of a normal curve are 40 and 60 respectively.

We know that,

Points of inflexion of a normal curve  = Mean  ±  Standard Deviation Therefore, The mean is 50 and the standard deviation is 10.

Sample Paper Series- I - Question 90

For Poisson fitting to an observed frequency distribution

Sample Paper Series- I - Question 91

What is spurious correlation?

Sample Paper Series- I - Question 92

The covariance between two variables is

Sample Paper Series- I - Question 93

If r = 0.6 then the coefficient of non-determination is

Sample Paper Series- I - Question 94

If the sum of squares of difference of ranks, given by two judges A and B, of 8 students in 21, what is the value of rank correlation coefficient?

Sample Paper Series- I - Question 95

Weighted G.M. of relative formula satisfy ________test

Sample Paper Series- I - Question 96

Laspyre's method and Paasche’s method do not satisfy

Detailed Solution for Sample Paper Series- I - Question 96

Explanation : Unit test is a level of software testing. By this test, every unit of the software is tested. Laspeyres method and Paasche's method do not satisfy unit tests.

Sample Paper Series- I - Question 97

Fisher’s index number is based on

Sample Paper Series- I - Question 98

Sample Paper Series- I - Question 99

Damages due to floods, droughts, strikes, fires and politic al disturbances are :

Sample Paper Series- I - Question 100

The additive model of Time Series

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