Business Mathematics Mock Test - 1

# Business Mathematics Mock Test - 1

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## 100 Questions MCQ Test Mock Tests & Past Year Papers for CA Foundation | Business Mathematics Mock Test - 1

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

### In how many ways can we select 5 people from a group of 9 people so that a particular person is never to be included

Detailed Solution for Business Mathematics Mock Test - 1 - Question 1

Out of 9 people, one has not to be selected.
Therefore, there are total 8 persons. We have to select 5 among them.
Total number of ways = 8C5

Business Mathematics Mock Test - 1 - Question 2

### The value of the determination

Detailed Solution for Business Mathematics Mock Test - 1 - Question 2

Business Mathematics Mock Test - 1 - Question 3

### If Rolle's theorem for f(x) = ex (sin x - cos x) is verified on  then the value of c is

Detailed Solution for Business Mathematics Mock Test - 1 - Question 3

Explanation : Thus, all the conditions of Rolle’s theorem are satisfied.

Now, we have to show that, there exists a point c ∈ (π/4 , 5π/4) such that f'(c) = 0.

⇒ ex(sinx – cosx) + ex(cosx + sinx) = 0

⇒ (sinx – cosx) + (cosx + sinx) = 0

⇒ 2sinx = 0 ⇒ sinx = 0

⇒ c = π ∈ (π/4 , 5π/4)

Business Mathematics Mock Test - 1 - Question 4

The set of letters in the word ′UNIVERSAL′. Write the set in Roster form .

Detailed Solution for Business Mathematics Mock Test - 1 - Question 4

Business Mathematics Mock Test - 1 - Question 5

If a,b,c are distinct and the roots of (b-c) x+ (c-a) x + (a-b) = 0 are equal ,then a,b,c are in

Detailed Solution for Business Mathematics Mock Test - 1 - Question 5

Business Mathematics Mock Test - 1 - Question 6

If a series consists only a finite number of terms it is called a ................

Detailed Solution for Business Mathematics Mock Test - 1 - Question 6

If a series consists only a finite number of terms it is called a Finite series.
Hence, the answer is finite series.

Business Mathematics Mock Test - 1 - Question 7

If α,β,γ are three consecutive integers. If these integers are raised to first, second and third positive powers respectively, and added then they form a perfect square, the square root of which is equal to the sum of these integers. Also, α<β<γ. Then, γ is equals to:

Detailed Solution for Business Mathematics Mock Test - 1 - Question 7

Business Mathematics Mock Test - 1 - Question 8

Find the missing term(s) :

1 BR, 2 EO,6 HL,15 KI,?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 8

Business Mathematics Mock Test - 1 - Question 9

Letters of the English alphabet have been formed into groups in a particular order. Find the set of letters that is most appropriate to fill the gap from the sets given in the choice.

CEG : EGC : : LNP : ?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 9

CEG is formed by skipping the letters in between them, the second set EGC is formed by simply putting the first letter of CEG at last to form EGC,

Business Mathematics Mock Test - 1 - Question 10

If (x+1)2−(x−1)2=32, find the value of x.

Detailed Solution for Business Mathematics Mock Test - 1 - Question 10

Business Mathematics Mock Test - 1 - Question 11

If the feasible region for a solution of linear inequations is bounded, it is called as:

Detailed Solution for Business Mathematics Mock Test - 1 - Question 11

A bounded feasible region will have both a maximum value and a minimum value for the objective function. It is bounded if it can be enclosed in any shape.
A convex polygon is a simple not self-intersecting closed shape in which no line segment between two points on the boundary ever goes outside the polygon.
Hence, the answer is convex polygon.

Business Mathematics Mock Test - 1 - Question 12

In the following question, there are two words to left of the sign ': :' which are connected in some way. The same relationship is shared by one of the four alternative pair of words given below. Find the correct alternative pair.

Cloth : Texture :: ?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 12

Quality of cloth is determined by its texture, similarly, quality of wheat is determined by grains.

Business Mathematics Mock Test - 1 - Question 13

If the expression  has the value ab - cd for all values of a,b,c and d, then the equation

Detailed Solution for Business Mathematics Mock Test - 1 - Question 13

Business Mathematics Mock Test - 1 - Question 14

Fill up the blank with the most appropriate alphabet given in the choice, in each of the following expression.

E : V : : I : .....

Detailed Solution for Business Mathematics Mock Test - 1 - Question 14

The 5th letter from A correspond to 5th from Z and therefore 9th letter 'I' from A would correspond 9th letter 'R' from Z.

Business Mathematics Mock Test - 1 - Question 15

In the following question, there are two words to left of the sign ': :' which are connected in some way. The same relationship is shared by one of the four alternative pair of words given below. Find the correct alternative pair.

Volcano : Lava : : ?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 15

Volcano causes lava to flow. Faulting or displacement of earth crust causes an earthquake. Both the natural occurrences connected with earth.

Business Mathematics Mock Test - 1 - Question 16

For two sets A and B, A∪B=A if and only if

Detailed Solution for Business Mathematics Mock Test - 1 - Question 16

Business Mathematics Mock Test - 1 - Question 17

Find the derivative of sin(2sin−1x).

Detailed Solution for Business Mathematics Mock Test - 1 - Question 17

Explanation : Suppose we want to find the differentiation of a function of x, say f(x). We can write it as: df/dx

Now, if f(x) is itself is not a function of x, but of another function of x, suppose g. That is, we have f[g(x)], we have to use the chain rule of differentiation.

df/dx = df/dg × dg/dx

In the given question, it is clearly observable that

f (x)=sin(x)   and   g(x)=2sin-1(x)

Thus the answer is as follows:

cos(2sin-1(x)) × 2/(√1−x2)

Explanation : Suppose we want to find the differentiation of a function of x, say f(x). We can write it as: df/dx

Now, if f(x) is itself is not a function of x, but of another function of x, suppose g. That is, we have f[g(x)], we have to use the chain rule of differentiation.

df/dx = df/dg × dg/dx

In the given question, it is clearly observable that

f (x)=sin(x)   and   g(x)=2sin-1(x)

Thus the answer is as follows:

cos(2sin-1(x)) × 2/(√1−x2)

Business Mathematics Mock Test - 1 - Question 18

if  then the value of x is

Detailed Solution for Business Mathematics Mock Test - 1 - Question 18

Business Mathematics Mock Test - 1 - Question 19

Find the approximate maximum transverse speed of a point on the string.

Detailed Solution for Business Mathematics Mock Test - 1 - Question 19

Explanation : For a standing wave described by y = Asin(kx)sin(ωt)

Speed of a particle is given as v = dy/dt = Aωsin(kx)cos(ωt)

Thus vmax = Aω

= 5.6×50

= 280cm/s

Business Mathematics Mock Test - 1 - Question 20

Fill in the blank:

if  then the pair of linear equations has exactly________ Solution.

Detailed Solution for Business Mathematics Mock Test - 1 - Question 20

Business Mathematics Mock Test - 1 - Question 21

The exponential form of √(√2×√3) is

Detailed Solution for Business Mathematics Mock Test - 1 - Question 21

Business Mathematics Mock Test - 1 - Question 22

Consider the equation (1+a+b)2 = 3(1+a2+b2), where a, b are real numbers. Then

Detailed Solution for Business Mathematics Mock Test - 1 - Question 22

Business Mathematics Mock Test - 1 - Question 23

Detailed Solution for Business Mathematics Mock Test - 1 - Question 23

Business Mathematics Mock Test - 1 - Question 24

In the following question, five pairs of letters are given. Four of them are alike in a certain way while one is different.

Q. Choose the odd one.

Detailed Solution for Business Mathematics Mock Test - 1 - Question 24

In other groups, first two letters are consecutive and between second and third there is a gap of one letter.
But in option D all the letters are consecutive.

Business Mathematics Mock Test - 1 - Question 25

Find the odd one alternative :

Detailed Solution for Business Mathematics Mock Test - 1 - Question 25

Air and Oxygen comes under Atmosphere.
Students are divided in two categories boys and girls.
Dog and Cat comes under the category of Animal.
Man, Worker, Garden are not related category wise.
Hence, option C is different among all.

Business Mathematics Mock Test - 1 - Question 26

Pointing towards a boy, Veena said 'He is the son of the only son of my paternal grandfather'. How is that boy related to Veena?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 26

Only  son  of  Veena's  grandfather  is  her  father. And son of her father is her brother.
Hence, that boy is Veena's brother.

Business Mathematics Mock Test - 1 - Question 27

How many zeroes are there in 1×2×3×4...........49×50:

Detailed Solution for Business Mathematics Mock Test - 1 - Question 27

Business Mathematics Mock Test - 1 - Question 28

What is the sum of the probabilities of all the distinct outcomes within the same sample space ?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 28

Business Mathematics Mock Test - 1 - Question 29

582 : 194 : : 258 : ?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 29

582 ÷ 3 = 194
Similarly, 258 ÷ 3 = 86

Business Mathematics Mock Test - 1 - Question 30

Pointing to man on the stage Rita says "He is the brother of the daughter of the wife of my husband" How is the man on the stage related to Rita?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 30

Wife of the husband means herself, Brother of her daughter means her son

Business Mathematics Mock Test - 1 - Question 31

The equation 3x4 − 5x3 + 3x2 − 4x + 5 = 0 is of the type

Detailed Solution for Business Mathematics Mock Test - 1 - Question 31

Business Mathematics Mock Test - 1 - Question 32

If probability of getting a red ball from a bag containing blue and red balls is 0.52. then probability of getting a blue ball from the same bag is

Detailed Solution for Business Mathematics Mock Test - 1 - Question 32

If probability of getting a red ball from a bag containing blue and red balls =0.52=0.52
The probability of getting a blue ball from the same bag is
=1−0.52
=0.48

Business Mathematics Mock Test - 1 - Question 33

Find the compounded ratio of 18 :9, 16 : 13 and 6 : 9

Detailed Solution for Business Mathematics Mock Test - 1 - Question 33

Business Mathematics Mock Test - 1 - Question 34

In the following question, there are two words to left of the sign ': :' which are connected in some way. The same relationship is shared by one of the four alternative pair of words given below. Find the correct alternative pair.

Q. Soldier : Regiment : : ?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 34

Soldiers form part of a Regiment as coil forms a part of motor. This is part and whole relationship.

Business Mathematics Mock Test - 1 - Question 35

The differential equation of all non-horizontal lines in a plane is

Detailed Solution for Business Mathematics Mock Test - 1 - Question 35

Business Mathematics Mock Test - 1 - Question 36

The probability of an event is

Detailed Solution for Business Mathematics Mock Test - 1 - Question 36

The probability that an event will occur is expressed as a number between 0 and 1

Business Mathematics Mock Test - 1 - Question 37

The sets E= {All even numbers } and O ={All odd numbers} are

Detailed Solution for Business Mathematics Mock Test - 1 - Question 37

The sets E and F have no elements in common, so are disjoint sets.

Business Mathematics Mock Test - 1 - Question 38

Sn= 13 + 2+.....+ n3 and Tn = 1 + 2 +.....+ n, then

Detailed Solution for Business Mathematics Mock Test - 1 - Question 38

Business Mathematics Mock Test - 1 - Question 39

A man bought goods worth Rs. 6000 and sold half of them at a gain of 10%. At what gain percent must he sell the remainder so as to get a gain of 25% on the whole ?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 39

Business Mathematics Mock Test - 1 - Question 40

Find the value of x−yx−y when x=2 and y=−2.

Detailed Solution for Business Mathematics Mock Test - 1 - Question 40

x-y^x-y
2 - (-2)^2 -(-2)
2 - (-2)^2 + 2
2 - (-2)^4
2 - (16)
= -14

Business Mathematics Mock Test - 1 - Question 41

Historical notations used and reasons for their discontinuation are

Detailed Solution for Business Mathematics Mock Test - 1 - Question 41

Historical notations are used and discontinued because the box notation is difficult for printers to reproduce
The other reason is small vertical bar above a variable , confusion with the differentiation symbol therefore correct option is C.

Business Mathematics Mock Test - 1 - Question 42

Complete the second pair of given analogous pair based on the pattern followed by the first pair:

Bank : River : : Coast : ?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 42

Note that the word 'bank' denotes the land besides the river. (Bank has two meanings, one is the place where we safekeep our money, and other means the land besides the river).
Hence, bank is the land beside a river and coast is the land beside a sea.

Business Mathematics Mock Test - 1 - Question 43

Find the missing term(s) :

P3C, R5F, T8I, V12L, ?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 43

In the following series first letter is moved two steps forward,second number is moved 2,3,4,5 step forward,and third letter is moved and third letter is moved three steps forward to form the next term of the series
Following the series the next term will be X17O

Business Mathematics Mock Test - 1 - Question 44

Ratio of 200 ml to 2 litre is____

Detailed Solution for Business Mathematics Mock Test - 1 - Question 44

Business Mathematics Mock Test - 1 - Question 45

A,B and C together earn Rs.300 per day, while A and C together earn Rs.188 and B and C together earn Rs.152 The daily earning of C is :

Detailed Solution for Business Mathematics Mock Test - 1 - Question 45

Business Mathematics Mock Test - 1 - Question 46

If A+B=2C and C+D=2A, then

Detailed Solution for Business Mathematics Mock Test - 1 - Question 46

Business Mathematics Mock Test - 1 - Question 47

LETTER : WORD :: ?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 47

Letter is composed of words similarly books are made up of pages

Business Mathematics Mock Test - 1 - Question 48

In the question, there are four options. Three in these options, are alike in certain manner. Only one number does not fit in. Find the one which doesn't fit.

Detailed Solution for Business Mathematics Mock Test - 1 - Question 48

Only in 9309, the digit 9 is repeated whereas in other numbers no digits are repeated.

Hence, 9309 is different amongst all.

Business Mathematics Mock Test - 1 - Question 49

Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train is 120 metres, in how much time (in seconds) will they cross each other if travelling in opposite direction?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 49

Business Mathematics Mock Test - 1 - Question 50

The number of A in Tp such that the trace of A is not divisible by pp but det(A) is divisible by p is?

[Note: The trace of a matrix is the sum of its diagonal entries.]

Detailed Solution for Business Mathematics Mock Test - 1 - Question 50

Business Mathematics Mock Test - 1 - Question 51

Detailed Solution for Business Mathematics Mock Test - 1 - Question 51

Business Mathematics Mock Test - 1 - Question 52

What is the value of [2−3(2−3)−1]−1 ?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 52

Business Mathematics Mock Test - 1 - Question 53

Detailed Solution for Business Mathematics Mock Test - 1 - Question 53

Business Mathematics Mock Test - 1 - Question 54

The transpose of a rectangular matrix is a

Detailed Solution for Business Mathematics Mock Test - 1 - Question 54

The transpose of a rectangular matrix is a rectangular matrix.

Business Mathematics Mock Test - 1 - Question 55

If for a matrix A, A3=I, then A−1 is equal to-

Detailed Solution for Business Mathematics Mock Test - 1 - Question 55

Business Mathematics Mock Test - 1 - Question 56

A set of annual numerical data, comparable over the years, is given for the last 12 years.
Consider the following statements:
1. The data is best represented by a broken line graph, each corner (turning point) representing the data of one year.
2. Such a graph depicts the chronological change and also enables one to make a short-term forecast.

Q. Which of the above statements is/are correct?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 56

The first statement is true as we can easily track the ups and downs of datat form 1 year to the next.
Statement 2 is false as the graph would require some kind of mathematical model to predict the short-term forecast and would not be helpful on its own.

Business Mathematics Mock Test - 1 - Question 57

Choose the Venn diagram which best illustrates the three given classes.

Citizens, Educated, Men

Detailed Solution for Business Mathematics Mock Test - 1 - Question 57

Business Mathematics Mock Test - 1 - Question 58

Cramer's Rule is also known as ______________.

Detailed Solution for Business Mathematics Mock Test - 1 - Question 58

Determinant Method

Business Mathematics Mock Test - 1 - Question 59

The objective of the transportation problem which is to be maximized is to

Detailed Solution for Business Mathematics Mock Test - 1 - Question 59

maximize the total profit.

Business Mathematics Mock Test - 1 - Question 60

A diagonal matrix in which all the diagonal elements are equal is a ______________.

1. ​​​​
Detailed Solution for Business Mathematics Mock Test - 1 - Question 60

scalar matrix.

Business Mathematics Mock Test - 1 - Question 61

What is the mode from the following table ?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 61

Mode is the value which has the highest frequency.
In the given table, 23 has the highest frequency 15 i.e., 23 marks were obtained to many people than other marks.
Therefore 23 is the mode.

Business Mathematics Mock Test - 1 - Question 62

The mean of five numbers is 30. If one number is excluded, their mean becomes 28. What is the excluded number?

Business Mathematics Mock Test - 1 - Question 63

Pankaj records the measurement of resistance and current to find the potential across A and B. Estimate the resistance for a current of 7.5 amps.

Detailed Solution for Business Mathematics Mock Test - 1 - Question 63

Business Mathematics Mock Test - 1 - Question 64

The sum of the squares deviations for 10 observations taken from their mean 50 is 250. The coefficient of variation is

Detailed Solution for Business Mathematics Mock Test - 1 - Question 64

Business Mathematics Mock Test - 1 - Question 65

Which of the two days did they export more bottles of pickles?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 65

From the pictograph, they export 8 bottles on Monday, 5 on Tuesday, 3 on Wednesday, 8 on Thursday and 6 on Friday.
So, Monday and Thursday are the two days when they export more bottles of pickles.

Business Mathematics Mock Test - 1 - Question 66

Construction of a cumulative frequency table is useful in determining the

Detailed Solution for Business Mathematics Mock Test - 1 - Question 66

A cumulative frequency table helps to determine the median of the series.

Business Mathematics Mock Test - 1 - Question 67

The age-specific death rates for a town are given in the following table:

The curve drawl between ages and specific death rates will be

Detailed Solution for Business Mathematics Mock Test - 1 - Question 67

Business Mathematics Mock Test - 1 - Question 68

The year in which the most number of TV sets have been sold is

Detailed Solution for Business Mathematics Mock Test - 1 - Question 68

From the table,we can say the answer.
Ans is 2008.

Business Mathematics Mock Test - 1 - Question 69

Which one of the following is not central tendency ?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 69

Mean deviation is deviation from the mean. It is not the central tendency.

Business Mathematics Mock Test - 1 - Question 70

Which one of the following is not correct ?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 70

Answer:- C) Statistical laws are exact.
Reason:-
The statistical laws are based on probability. Using probability we can only estimate the answer, it will not be accurate.
So statistical laws are not exact.

Business Mathematics Mock Test - 1 - Question 71

The measure of dispersion is

Detailed Solution for Business Mathematics Mock Test - 1 - Question 71

Measures of dispersion include:
1)Sample standard deviation
2)Interquartile range (IQR) or Interdecile range
3)Range
4)Mean difference
6)Average absolute deviation (or simply called average deviation)
7)Distance standard deviation

Business Mathematics Mock Test - 1 - Question 72

The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 680. Then which one of the following gives possible values of a and b ?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 72

Business Mathematics Mock Test - 1 - Question 73

_______ are sets of mathematical equations that are used to analyze what is happening in the world around us.

Detailed Solution for Business Mathematics Mock Test - 1 - Question 73

Statistics are sets of mathematical equations that are used to analyze what is happening in the world around us.

Business Mathematics Mock Test - 1 - Question 74

Represent the following data using histogram, hence find the mode.

Detailed Solution for Business Mathematics Mock Test - 1 - Question 74

Business Mathematics Mock Test - 1 - Question 75

Before 3000 BC, the ______ used small clay tablets to record tabulations of agricultural yields and of commodities bartered or sold.

Detailed Solution for Business Mathematics Mock Test - 1 - Question 75

Business Mathematics Mock Test - 1 - Question 76

At the beginning of the 20th century, who developed the methods for decision making based on small set of data?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 76

At the beginning of the 20th century, William S Gosset has developed the methods for decision making based on small set of data.he has developed t-distribution theory.

Business Mathematics Mock Test - 1 - Question 77

A grouped frequency distribution table with classes of equal sizes using 63 — 72 (72 included) as
one of the class is constructed for the following data:
30,32,45,54,74,78,108,112,66, 76,88,
40,14, 20,15,35,44,66,75,84,95,96,
102,110,88,74,112,14,34,44
The number of classes in the distribution will be:

Detailed Solution for Business Mathematics Mock Test - 1 - Question 77

The given frequency is vary from 14 to 112.

So the class intervals are:

13-22, 23-32, 33-42, 43-52, 53-62, 63-72, 73-82, 83-92, 93-102, 103-112.

Number of class interval = 10.

Business Mathematics Mock Test - 1 - Question 78

The coefficient of quartile deviation is calculated by the formula :

Detailed Solution for Business Mathematics Mock Test - 1 - Question 78

Business Mathematics Mock Test - 1 - Question 79

Marks scored by 10 students in an examination are listed in the table

Q. What is the range of marks for given marks distribution ?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 79

From the given table, we have
Lowest marks for given distribution =33
Highest marks =49
Therefore, range of marks = 49−33=16

Business Mathematics Mock Test - 1 - Question 80

Assertion
If lines of regressions are 8x - 10y + 66 = 0 & 40x - 18y - 214 = 0, then
Reason
Regression lines pass through  Where  are mean.

Detailed Solution for Business Mathematics Mock Test - 1 - Question 80

Business Mathematics Mock Test - 1 - Question 81

______ are used for bar chart where the data represent continuous rather than discrete categories.

Detailed Solution for Business Mathematics Mock Test - 1 - Question 81

Business Mathematics Mock Test - 1 - Question 82

Coefficient of correlation between the observations ( 1, 6 ) , ( 2 , 5 ) , ( 3 , 4) , ( 4 , 3 ) , ( 5 , 2 ) , ( 6 , 1 ) is

Business Mathematics Mock Test - 1 - Question 83

There are 500 students in a class in which there are 100 boys. 50 boys like Mathematics and 100 girls dislike Mathematics. Tabulate the given data and calculate the number of girls who like the subject Mathematics.

Detailed Solution for Business Mathematics Mock Test - 1 - Question 83

Business Mathematics Mock Test - 1 - Question 84

The one which is the measure of the central tendency is

Detailed Solution for Business Mathematics Mock Test - 1 - Question 84

The mean (often called the average) is most likely the measure of central tendency but there are others, such as the median and the mode are also measure of central tendency.

Business Mathematics Mock Test - 1 - Question 85

In the year 1602, who used the word "statist" in his drama Hamlet?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 85

William Shakespeare used the word statist in his drama Hamlet 1602.

Business Mathematics Mock Test - 1 - Question 86

Statistics is the branch of mathematics that deals with the collection, organization, analysis, and interpretation of numerical ____.

Detailed Solution for Business Mathematics Mock Test - 1 - Question 86

Statistics is the branch of mathematics that deals with the collection, organization, analysis, and interpretation of numerical data.

Business Mathematics Mock Test - 1 - Question 87

A cumulative frequency graph, also known as an

Detailed Solution for Business Mathematics Mock Test - 1 - Question 87

An ogive, sometimes called a cumulative frequency polygon, is a type of frequency polygon that shows cumulative frequencies.
In other words, the cumulative percents are added on the graph from left to right.

Business Mathematics Mock Test - 1 - Question 88

Following table gives frequency distribution of milk (in litres) given per week by so cows.
Find average (mean) amount of milk given by a cow by 'shift of origin method'.

Detailed Solution for Business Mathematics Mock Test - 1 - Question 88

Business Mathematics Mock Test - 1 - Question 89

Which frequency curve is correct for the following histogram ?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 89

Frequency curve can also be drawn with the help of histogram by joining their mid points of rectangle.

Business Mathematics Mock Test - 1 - Question 90

Detailed Solution for Business Mathematics Mock Test - 1 - Question 90

Business Mathematics Mock Test - 1 - Question 91

Upper limit of class interval 75−85 is

Detailed Solution for Business Mathematics Mock Test - 1 - Question 91

Upper value is called upper limit
75 - lower limit, 85 - upper limit.

Business Mathematics Mock Test - 1 - Question 92

Data classification is the process of organizing data into categories for its _____.

Detailed Solution for Business Mathematics Mock Test - 1 - Question 92

Data classification is the process of organizing the data into categories for its division. The types of data are qualitative and quantitative data.

Business Mathematics Mock Test - 1 - Question 93

Since the population size is always larger than the sample size, then the sample statistic -

Detailed Solution for Business Mathematics Mock Test - 1 - Question 93

Sample statistic will depend upon the sample chosen.
It can be less than, greater than, equal to population parameter.
It can assume the value of zero.

Business Mathematics Mock Test - 1 - Question 94

The following table gives the height of trees:

Q. Draw both ogives for the data above. Hence, obtain the median of the data.

Detailed Solution for Business Mathematics Mock Test - 1 - Question 94

Business Mathematics Mock Test - 1 - Question 95

Which of the following is not a measure of central location?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 95

Mean, median and mode give us the knowledge about the central value.
But the Variance will give us the deviations from the central tendencies.

Business Mathematics Mock Test - 1 - Question 96

For a certain frequency distribution, the values of Mean and Mode are 54.6 and 54 respectively. Find the value of median.

Detailed Solution for Business Mathematics Mock Test - 1 - Question 96

Business Mathematics Mock Test - 1 - Question 97

Calculate Pearson's coefficient of correlation between the values of X and Y.

Detailed Solution for Business Mathematics Mock Test - 1 - Question 97

Business Mathematics Mock Test - 1 - Question 98

Tally marks are used find

Detailed Solution for Business Mathematics Mock Test - 1 - Question 98

Tally marks are used for counting. They represent frequency.

Business Mathematics Mock Test - 1 - Question 99

In the Merits of observation method:

Q. Subject bias is ________ if the observation is done correctly.

Detailed Solution for Business Mathematics Mock Test - 1 - Question 99

If the subject bias is eliminated then there is no confusion of how the subjects act in the experiment.
Therefore, if the observation is done correctly then it becomes the merit of the method.

Business Mathematics Mock Test - 1 - Question 100

Which of the following is/are not the methods of collection of primary data.

Detailed Solution for Business Mathematics Mock Test - 1 - Question 100

There are various methods for the collection of primary data mainly in surveys and descriptive researches.
The observation, interview and questionnaire methods, we collect the primary data.

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