Sample Paper Series- II

# Sample Paper Series- II

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

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

### If x:y:z = 2: 3:5 if x+ y+ z = 60 ,then the value of z

Sample Paper Series- II - Question 2

### The ratio of two numbers is 15: 19. If a certain number is added to each term of the ratio it become 8: 9. What is the number added to each of the ratio?

Sample Paper Series- II - Question 3

### If then is

Sample Paper Series- II - Question 4

Simplify =

Sample Paper Series- II - Question 5

If. 2= 3b = 12c then =

Sample Paper Series- II - Question 6

​The value of log 64512 is

Sample Paper Series- II - Question 7

The value of of  (logb a logc b loga c)3 =

Sample Paper Series- II - Question 8

If α and β be the roots of the equation 2x2-4x-3=0 the value of α22 is

Sample Paper Series- II - Question 9

If one root of the equation x2+ 7x+ p = 0 be reciprocal of the other then the value of p is________.

Sample Paper Series- II - Question 10

Let A = ; B= then the value 3A-B

Sample Paper Series- II - Question 11 Sample Paper Series- II - Question 12

Mr. A plans to invest up to Rs. 30,000 in two stocks X and Y. Stock X(x) is priced at Rs.175 and Stock Y(y) at Rs.95 per share. This can be shown by

Sample Paper Series- II - Question 13

A sum of money doubles itself at compounded interest in 10 years in how many years will it becomes eight times?

Sample Paper Series- II - Question 14

A machine costs Rs .1,00, 000. The depreciation rate is 10% per annum . The scrap value of the machine at the end of 5 years is

Sample Paper Series- II - Question 15

Rs. 10,000 is invested at annual rate of interest of 10% p.a. The amount after two years at annual compounding is

Sample Paper Series- II - Question 16

The annual birth rate and death rate per 1000 are 39.4 and 19.4 respectively. The number of years in which population will be doubled assuming that there is no immigration or emigration is approximately

Sample Paper Series- II - Question 17

If the effective rate of interest is 12% per annum and the interest is compounded quarterly, the nominal rate of interest per annum

Sample Paper Series- II - Question 18

A machine can be purchased for Rs. 50, 000. Machine will be contributing Rs. 12, 000 per year for the next five years. Assuming borrowing cost is 10% per annum. Determine whether machine should be purchased or not

Sample Paper Series- II - Question 19

X bought a TV costing 25,000 making down payment of Rs. 5000 and agreeing to make equal annual payment for four years. How much would be each payment if the interest on unpaid amount be 14% compounded annually? [P(4, 0.14) = 2.91371]

Sample Paper Series- II - Question 20

The future value of annuity on Rs. 5000 a year for 7 years at 14% per annum compound interest is given (1.14)7= 2.5023

Sample Paper Series- II - Question 21

Rs.5000 paid for ten years to off a loan. What is the loan amount if interest rate be 14% per annum com pounded annually? (Given P (10, 0.14) = 5.21611

Sample Paper Series- II - Question 22

Suppose your friend decided gift to you R s. 10000 every year starting from today for the next five years. Your deposit this amount in a bank as and when you receive and get 10% per annum interest compounded annually. What is the present value of this annuity?

Sample Paper Series- II - Question 23

Rs.1000 is invested at the end of each month in an account paying interest 6% per year compounded monthly. What is the future value of annuity after 10 th payment? (Given that (1.005) 10 = 1.0511)

Sample Paper Series- II - Question 24

The differenc e between CI and SI on a certain money invested for three years at 6% per annum is Rs. 110.16. The sum is

Sample Paper Series- II - Question 25

Simple interest on Rs.3500 for 3 years at 12% per annum is

Sample Paper Series- II - Question 26

A function f(x) is an even function, if

Sample Paper Series- II - Question 27

If A = {1, 2, 3, 4} and B = {5, 6, 7,6}, then c ardinal num ber of the set A×B is _____

Sample Paper Series- II - Question 28

Find the f o g for the func tions f (x) =x3, g (x) = x+ 1

Sample Paper Series- II - Question 29

if nP4 = 12nP2 then n=

Sample Paper Series- II - Question 30

The number of sub sets of function {2, 3, 5, 6}

Sample Paper Series- II - Question 31

A m an has 5 friends’. In how m any ways can be invite one or more of his friends to dinner?

Sample Paper Series- II - Question 32

The sum of the first two term s of a GP is 5/3 and the sum of infinity of the series is 3. The common ratio is

Detailed Solution for Sample Paper Series- II - Question 32  Sample Paper Series- II - Question 33

The sum of the infinite series 1+2/3+4/9+………is

Sample Paper Series- II - Question 34

Which term of the AP 64,60,56,52….is Zero

Sample Paper Series- II - Question 35

​if x=at2, y=2at then is equal to

Sample Paper Series- II - Question 36

​The gradient of the c urve y = 4x2 – 2x at x =1 is

Sample Paper Series- II - Question 37 Sample Paper Series- II - Question 38 Sample Paper Series- II - Question 39 Sample Paper Series- II - Question 40

​If x = at3, y = a/t3,dy/dx at t = 1 is

Sample Paper Series- II - Question 41

Find odd one out of the series  7, 9, 11, 12, 14, 15

Sample Paper Series- II - Question 42

Find odd one out of the series   37, 45, 49, 65, 79

Sample Paper Series- II - Question 43

Find the missing number of the series  22, 24, 28, ?  , 52, 84

Sample Paper Series- II - Question 44

Find the missing number of series  1, 5, 13, 25, 41,  ?

Sample Paper Series- II - Question 45

If SUMMER is coded as RUNNER the code for WINTER will be

Sample Paper Series- II - Question 46

In a certain code KAVERI is written as VAKIRE. How is MYSORE written in that code?

Detailed Solution for Sample Paper Series- II - Question 46

The letter in the first 6 half and the second half of the word is written in the reverse order to obtain the code. Thus, we have MYSORE = MYS/ORE = SYM/ERO = SYMERO.

Sample Paper Series- II - Question 47

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?

Sample Paper Series- II - Question 48

From her hom e Prerna wishes to go to sc hool.  From hom e she goes towards North and then turns left and then turns right, and finally she turns left and reaches school.  In which direction her school is situated with respect to her home?

Sample Paper Series- II - Question 49

A child walks 25 feet towards North, turns right and walks 40 feet, turns right again and walks 45 feet .  He then turns left and walks 20 feet.  He turns left again walks 20 feet. Finally, he turns to his left to walks another 20 feet.  In which direction is the child from his starting point?

Sample Paper Series- II - Question 50

In a college party, 5 girls are sitting in a row. F is to the left of M and to the right of O. R is sitting to the right of N but to the left of O. Who is sitting in the middle?

Sample Paper Series- II - Question 51

Five friends P, Q, R, S and T are sitting in a row fac ing North. Here, S is between T and Q and Q is to the immediate left of R. P is to the immediate left of T. Who is in the middle?

Sample Paper Series- II - Question 52

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- II - Question 53

​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 immediate right of R?

Sample Paper Series- II - Question 54

​​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- II - Question 55

​​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. X is the husband of Y. W is the daughter of X. Z is husband of W. N is the daughter of Z. What is the relationship of N to Y?

Sample Paper Series- II - Question 56

A’ reads a book and find the nam e of the author fam iliar. T he author ‘B’ is the paternal un c le of ‘C’. ‘C’ is the daughter of ‘A’. How is ‘B’ related to ‘A’?

Sample Paper Series- II - Question 57

‘A’ s m other is sister of B and she has a daughter C who is 21 years old. How is B related to D?

Sample Paper Series- II - Question 58

Each of the following questions contains two statem ents followed by two conclusions num bered I and II. You have to consider the two statements to be true, even if they seen to be at variance at the commonly known facts. You have to decide whic h of the given conclusions definitely follows from the given statements
Q. Statements: I. All pots are cups.
II. All cups are bowls.
Conclusions: I. All pots are bowls. II. All cups are pots.

Sample Paper Series- II - Question 59

Each of the following questions contains two statem ents followed by two conclusions num bered I and II. You have to consider the two statements to be true, even if they seen to be at variance at the commonly known facts. You have to decide whic h of the given conclusions definitely follows from the given statements
Q. Statements: I. All roads are poles
II. No poles are bungalows
Conclusions: I. Some roads are bungalows
II. Some bungalows are poles

Sample Paper Series- II - Question 60

Each of the following questions contains two statem ents followed by two conclusions num bered I and II. You have to consider the two statements to be true, even if they seen to be at variance at the commonly known facts. You have to decide whic h of the given conclusions definitely follows from the given statements
Q. Statements: I. Som e c ats are kittens.
II. All goats are kittens.
Conclusions: I. Some cats are goats
II. Some goats are cats.

Sample Paper Series- II - Question 61

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

Sample Paper Series- II - Question 62

The entire upper part of a table is known as

Sample Paper Series- II - Question 63

A frequency distribution

Sample Paper Series- II - Question 64

Mode of a distribution can be obtained from

Sample Paper Series- II - Question 65

The presence of extreme observations does not affect

Sample Paper Series- II - Question 66

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

Sample Paper Series- II - Question 67

Quartiles can be determined graphically using

Sample Paper Series- II - Question 68

If there are 3 observations 15, 20, 25 then the sum of deviation of the observations from their AM is

Sample Paper Series- II - Question 69

The third decile for the numbers 15, 10, 20, 25, 18, 11, 9, 12 is

Sample Paper Series- II - Question 70

Which measures of dispersions is not affected by the presence of extreme observations?

Sample Paper Series- II - Question 71

Which measure is based on only the central fifty percent of the observations?

Sample Paper Series- II - Question 72

If the profits of a com pany rem ain the sam e for the last ten m onths, then the standard deviation of profits for these ten months would be?

Sample Paper Series- II - Question 73

The range of 15, 12, 10, 9, 17, 30 is

Sample Paper Series- II - Question 74

If the range of x is 2, what would be the range of –3x +50 ?

Sample Paper Series- II - Question 75

If x and y are related by 2x+3y+4 = 0 and SD of x is 6, then SD of y is

Sample Paper Series- II - Question 76

If x and y are related by y = 2x+ 5 and the SD and AM of x are known to be 5 and 10 respectively, then the coefficient of variation is

Sample Paper Series- II - Question 77

​If for two events A and B, P(A ∩ B)  = P(A) x P(B), then the two events A and B are

Detailed Solution for Sample Paper Series- II - Question 77

Explanation : Events A and B are independent if:

knowing whether A occured does not change the probability of B.

Mathematically, can say in two equivalent ways:

P(B|A) = P(B)

P(A and B) = P(B ∩ A) = P(B) × P(A).

Important to distinguish independence from mutually exclusive which

would say B ∩ A is empty

Sample Paper Series- II - Question 78

Addition Theorem of Probability states that for any two events A and B,

Sample Paper Series- II - Question 79

If a random variable x assum es the values x1, x2, x3, x4 with c orresponding probabilities p1, p2 , p3, p4 then the expec ted value of x is

Sample Paper Series- II - Question 80

If an unbiased die is rolled once, the odds in favour of getting a point which is a multiple of 3 is

Sample Paper Series- II - Question 81

A, B, C are three mutually independent with probabilities 0.3, 0.2 and 0.4 respec tively. What is P (ABC)?

Sample Paper Series- II - Question 82

What is the chance of throwing at least 7 in a single cast with 2 dice?

Sample Paper Series- II - Question 83

A binomial distribution is

Sample Paper Series- II - Question 84

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

Sample Paper Series- II - Question 85

Which one is uniparametric distribution?

Sample Paper Series- II - Question 86

The mean deviation about median of a standard normal variate is

Sample Paper Series- II - Question 87

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- II - Question 87

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

Sample Paper Series- II - Question 88

​What is the first quartile of X having the following probability density function?  Sample Paper Series- II - Question 89

Correlation analysis aims at

Sample Paper Series- II - Question 90

The two lines of regression become identical when

Sample Paper Series- II - Question 91

If the coefficient of correlation between two variables is 0.7 then the percentage of variation unaccounted for is

Sample Paper Series- II - Question 92

If the regression coefficient of y on x is 2.5, the correlation coefficient 0.6 and the SD is y of is 4, the SD of x is

Sample Paper Series- II - Question 93

If the regression coefficient of y on x is 1.5 and the variances of x and y is 4/9 then the correlation coefficient is

Sample Paper Series- II - Question 94

If the coefficient of determination is 0.64 and the regression coefficient of x on y is 4 then then the regression coefficient of y on x is

Sample Paper Series- II - Question 95

Chain index is equal to

Sample Paper Series- II - Question 96

The formula should be independent of the unit in which or for which price and quantities are quoted in

Sample Paper Series- II - Question 97

The formula for conversion to current value

Sample Paper Series- II - Question 98

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

Sample Paper Series- II - Question 99

The rise and fall of a time series over periods longer than one year is called:

Sample Paper Series- II - Question 100

A time series has:

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