Business Mathematics Mock Test - 5

# Business Mathematics Mock Test - 5

Test Description

## 100 Questions MCQ Test Mock Tests & Past Year Papers for CA Foundation | Business Mathematics Mock Test - 5

Business Mathematics Mock Test - 5 for CA Foundation 2023 is part of Mock Tests & Past Year Papers for CA Foundation preparation. The Business Mathematics Mock Test - 5 questions and answers have been prepared according to the CA Foundation exam syllabus.The Business Mathematics Mock Test - 5 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 - 5 below.
Solutions of Business Mathematics Mock Test - 5 questions in English are available as part of our Mock Tests & Past Year Papers for CA Foundation for CA Foundation & Business Mathematics Mock Test - 5 solutions in Hindi for Mock Tests & Past Year Papers for CA Foundation course. Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free. Attempt Business Mathematics Mock Test - 5 | 100 questions in 100 minutes | Mock test for CA Foundation preparation | Free important questions MCQ to study Mock Tests & Past Year Papers for CA Foundation for CA Foundation Exam | Download free PDF with solutions
 1 Crore+ students have signed up on EduRev. Have you?
Business Mathematics Mock Test - 5 - Question 1

### If the system of linear equation x+2ay+az = 0, x+3by+bz = 0, x+4cy+cz = 0 has a non zero solution, then a, b,c

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

Business Mathematics Mock Test - 5 - Question 2

### If f(x) = x + tan x and f is inverse of g, then g’(x) is equal to

Detailed Solution for Business Mathematics Mock Test - 5 - Question 2

Business Mathematics Mock Test - 5 - Question 3

### Primitive of f(x) = x.2 In (x2 + 1) with respect to x is

Detailed Solution for Business Mathematics Mock Test - 5 - Question 3

Business Mathematics Mock Test - 5 - Question 4

A man of height 2m walks directly away from a lamp of height 5m, on a level road at 3 m/s. The rate at which the length of his shadow is increasing is

Detailed Solution for Business Mathematics Mock Test - 5 - Question 4

Business Mathematics Mock Test - 5 - Question 5

Divide 56 into two parts such that three times the first part exceeds one-third of the second by 48. Then the two parts are

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

Business Mathematics Mock Test - 5 - Question 6

Detailed Solution for Business Mathematics Mock Test - 5 - Question 6

Business Mathematics Mock Test - 5 - Question 7

A ladder20 ft long has one end on the ground and the other end in contact with a vertical wall. The lower end slips along the ground. If the lower end of the ladder is 16 ft away from the wall, upper end is moving λ  times as fast as the lower end, then λ is

Detailed Solution for Business Mathematics Mock Test - 5 - Question 7

Let OC be the wall. Let AB be the position of the ladder at any time t such that OA =x and OB=y. Length of the ladder AB =20 ft.
In ΔAOB,

Business Mathematics Mock Test - 5 - Question 8

If A = 26, SUN = 27, then CAT will be equal to

Detailed Solution for Business Mathematics Mock Test - 5 - Question 8

Business Mathematics Mock Test - 5 - Question 9

If 'green' is called 'white', 'white' is called 'yellow', 'yellow' is called 'red', 'red' is called 'orange', then which of the following represents the colour of sunflower?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 9

The colour of sunflower is yellow and yellow is called 'red'. Hence sunflower is red.

Business Mathematics Mock Test - 5 - Question 10

Let X be a family of sets and R be a relation on X defined by 'A is disjoint from B'. Then R is

Detailed Solution for Business Mathematics Mock Test - 5 - Question 10

Clearly, the relation is symmetric but it is neither reflexive nor transitive.

Business Mathematics Mock Test - 5 - Question 11

The system of equations x + y + z =2, 3x − y + 2z =6 and 3x + y + z =−18 has

Detailed Solution for Business Mathematics Mock Test - 5 - Question 11

Business Mathematics Mock Test - 5 - Question 12

Ranjeev started from his office on duty. After traveling straight for a distance of 14 Km, he turned left for the market and traveled straight for 6 Km. He now turned left again and traveled another 2 Km, and then again left and traveled straight for 6 Km. How far is Ranjeev from office?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 12

Business Mathematics Mock Test - 5 - Question 13

The demand and supply equations of a certain commodity are 4q+7p=17 and p= q/3+7/4 respectively, where p is the market price and q is the quantity. Then the equilibrium price and quantity are respectively

Detailed Solution for Business Mathematics Mock Test - 5 - Question 13

Business Mathematics Mock Test - 5 - Question 14

If E = 5 and HOTEL = 12, how will you code LAMB?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 14

Business Mathematics Mock Test - 5 - Question 15

One day Anuneet left home and cycled 10 Km southwards, turned right and cycled 5 Km and turned right and cycled 10 Km and left and cycled 10 Km. How many Kms will he have to cycle to reach his home straight?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 15

Business Mathematics Mock Test - 5 - Question 16

If the diagonal of a rectangle is 5 cm and one of its sides is 4 cm, then its area is

Detailed Solution for Business Mathematics Mock Test - 5 - Question 16

Business Mathematics Mock Test - 5 - Question 17

Detailed Solution for Business Mathematics Mock Test - 5 - Question 17

We have

Business Mathematics Mock Test - 5 - Question 18

Inverse exists for a function which is

Detailed Solution for Business Mathematics Mock Test - 5 - Question 18

We have seen that inverse exists only when function is one-one and onto, i.e. Bijective.

Business Mathematics Mock Test - 5 - Question 19

Detailed Solution for Business Mathematics Mock Test - 5 - Question 19

Business Mathematics Mock Test - 5 - Question 20

Find the roots of the equation (x-5)(x-7)=8

Detailed Solution for Business Mathematics Mock Test - 5 - Question 20

(x-5)(x-7)=8
∴x2-12x+35=8
∴x2-12x+27=0
∴x2-9x-3x+27=0
∴x(x-9)-3(x-9)=0
∴(x-9)(x-3)=0
∴x=9 or x=3
Hence, the roots of the equation are 3 and 9

Business Mathematics Mock Test - 5 - Question 21

Let A be the non – empty set of children in a family.  The relation ‘x is a brother of y’ in A is

Detailed Solution for Business Mathematics Mock Test - 5 - Question 21

Business Mathematics Mock Test - 5 - Question 22

The slope of the tangent to the curve x=t2+3t−8, y=2t2−2t−5 at the point t = 2 is

Detailed Solution for Business Mathematics Mock Test - 5 - Question 22

Business Mathematics Mock Test - 5 - Question 23

Detailed Solution for Business Mathematics Mock Test - 5 - Question 23

Business Mathematics Mock Test - 5 - Question 24

A boy starts walking straight towards the north and walks 10 feet, then he turns to his left and walks 5 feet, then he turns to his left and walks another 5 feet, then again he turns to his left and walks 10 feet and then turns to his right and walks 2 feet. How far is he now from his starting point?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 24

Business Mathematics Mock Test - 5 - Question 25

Who is between the Lawyer and the Business Analyst?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 25

In all the cases, it can be observed that Amit is between the Lawyer and the Business Analyst.

Business Mathematics Mock Test - 5 - Question 26

Detailed Solution for Business Mathematics Mock Test - 5 - Question 26

Business Mathematics Mock Test - 5 - Question 27

The angle of intersection of the curves y=2sin2 x and y= cos 2x at x =π/6 is

Detailed Solution for Business Mathematics Mock Test - 5 - Question 27

We have

Business Mathematics Mock Test - 5 - Question 28

Six persons Amit, Amitabh, Arnold, Aakash, Abhinav and Atul, each of a different profession, among Docot, Lawyer, Teacher, Manager, Business Analyst and Accountant, are seated around a table in six equi-spaced chairs. Atul is opposite to the Lawyer. Arnold is to the right of the Doctor and is opposite the person who is the Business Analyst. Aakash is opposite the Accountant. Abhinav is between the Manager and the Accountant and is not the Business Analyst. Amitabh is opposite the Manager, who is the left of Aakash.

Q. If Amitabh is the Business Analyst, then who is opposite Amitabh?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 28

This question refers to case (2), where Arnold is sitting opposite Amitabh.

Business Mathematics Mock Test - 5 - Question 29

Six persons Amit, Amitabh, Arnold, Aakash, Abhinav and Atul, each of a different profession, among Docot, Lawyer, Teacher, Manager, Business Analyst and Accountant, are seated around a table in six equi-spaced chairs. Atul is opposite to the Lawyer. Arnold is to the right of the Doctor and is opposite the person who is the Business Analyst. Aakash is opposite the Accountant. Abhinav is between the Manager and the Accountant and is not the Business Analyst. Amitabh is opposite the Manager, who is the left of Aakash.

Q. Which of the following statements is false?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 29

Statement I, II and III are always true.
Statement IV is false.
As in case (2), it can be observed that the Lawyer and the Accountant are opposite each other.

Business Mathematics Mock Test - 5 - Question 30

The value of x which satisfies the equation (3x-1)2-5(2x+1)2+(6x-3)(2x+1)=(x-1)2 is

Detailed Solution for Business Mathematics Mock Test - 5 - Question 30

Business Mathematics Mock Test - 5 - Question 31

What is the remainder when x4+3x2-20 is divided by (x-2)?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 31

When a polynomial f(x) is divided by (x-a),(x-a) is said to be a factor of the polynomial if f(a) is 0.
Thus, the remainder when a polynomial f(x) is divided by (x-a) is given by f(a).
Hence, f(2)=24+323-20 =16+24-20=20

Business Mathematics Mock Test - 5 - Question 32

Detailed Solution for Business Mathematics Mock Test - 5 - Question 32

Business Mathematics Mock Test - 5 - Question 33

26 A man from his house walks towards north and covers 15.5 Km and then turns left and travels 7 Km. He turns left again and after traveling 31 Km, again turns left and stops after traveling 7 Km. How far is he from his house?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 33

Business Mathematics Mock Test - 5 - Question 34

Factorize x2y2- 8xy -48

Detailed Solution for Business Mathematics Mock Test - 5 - Question 34

x2y2 – 8xy – 48=x2y2 – 12 xy + 4xy – 48 =xy(xy-12) + 4(xy-12) =(xy-12)(xy+4)

Business Mathematics Mock Test - 5 - Question 35

The 288th term of the series a,b,b,c,c,c,d,d,d,e,e,e,e,e,f,f,f,f,f,f,.......... is

Detailed Solution for Business Mathematics Mock Test - 5 - Question 35

Business Mathematics Mock Test - 5 - Question 36

Let R be a relation on the set N of natural numbers defined by nRm
⇔ n is a factor of m (i.e. n(m). Then R is

Detailed Solution for Business Mathematics Mock Test - 5 - Question 36

Since n | n for all n in N,
therefore R is reflexive.
Since 2 | 6 but 6 | 2, therefore R is not symmetric.
Let n R m and m R p ⇒ n|m and m|p ⇒ n|p ⇒ nRp
So. R is transitive.

Business Mathematics Mock Test - 5 - Question 37

The system of equations
X+2y+3z=4
2x+3y+4z=5
3x+4y+5z=6   has

Detailed Solution for Business Mathematics Mock Test - 5 - Question 37

Business Mathematics Mock Test - 5 - Question 38

Where N∈ natural numbers. Then is equal to

Detailed Solution for Business Mathematics Mock Test - 5 - Question 38

Business Mathematics Mock Test - 5 - Question 39

Detailed Solution for Business Mathematics Mock Test - 5 - Question 39

Business Mathematics Mock Test - 5 - Question 40

Detailed Solution for Business Mathematics Mock Test - 5 - Question 40

Business Mathematics Mock Test - 5 - Question 41

21 If A = 2, M = 26, Z = 52, then BET will be equal to

Detailed Solution for Business Mathematics Mock Test - 5 - Question 41

As, A=2(1×2) ⇒M=26(13×2), Z=52(26×2) Similarly, BET =2+5+20 =27×2=54

Business Mathematics Mock Test - 5 - Question 42

If AT = 20, BAT = 40, then CAT will be equal to

Detailed Solution for Business Mathematics Mock Test - 5 - Question 42

Business Mathematics Mock Test - 5 - Question 43

If 341782 denotes MONKEY and 0596 denotes RAGD, then 75195044 will denote

Detailed Solution for Business Mathematics Mock Test - 5 - Question 43

Business Mathematics Mock Test - 5 - Question 44

If 4/x + 6/y = 0 and 3/x - 4/y = -17/6 , then :x+y=

Detailed Solution for Business Mathematics Mock Test - 5 - Question 44

Business Mathematics Mock Test - 5 - Question 45

If x=secθ−cosθ,y=sec10θ−cos10θand(x2+4)  (dy/dx)2 =k(y2+4), then k is equal to

Detailed Solution for Business Mathematics Mock Test - 5 - Question 45

Business Mathematics Mock Test - 5 - Question 46

Alok starts walking from his school toward his house as shown in the figure here. He start from the front gate of his school, walks 5 Km, turns left, walks 2 Km, then turns left again and walks 4 Kms, then he turns to his right and walks 3 Km and then turns left, walks 1 Km and then turns to his left again to walk 4 Km and then to his right and walks 10 Km and finally turns right, walks 3 Km and thus reaches the front gate of his house.

Q. Alok's house is in what direction with respect school?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 46

Business Mathematics Mock Test - 5 - Question 47

Alok starts walking from his school toward his house as shown in the figure here. He start from the front gate of his school, walks 5 Km, turns left, walks 2 Km, then turns left again and walks 4 Kms, then he turns to his right and walks 3 Km and then turns left, walks 1 Km and then turns to his left again to walk 4 Km and then to his right and walks 10 Km and finally turns right, walks 3 Km and thus reaches the front gate of his house.

Q. If Alok's house is south facing, in which direction did he start walking?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 47

Business Mathematics Mock Test - 5 - Question 48

If REQUEST is written as S2R52TU, then how will ACID be written?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 48

Business Mathematics Mock Test - 5 - Question 49

Six persons Amit, Amitabh, Arnold, Aakash, Abhinav and Atul, each of a different profession, among Docot, Lawyer, Teacher, Manager, Business Analyst and Accountant, are seated around a table in six equi-spaced chairs. Atul is opposite to the Lawyer. Arnold is to the right of the Doctor and is opposite the person who is the Business Analyst. Aakash is opposite the Accountant. Abhinav is between the Manager and the Accountant and is not the Business Analyst. Amitabh is opposite the Manager, who is the left of Aakash.

Q. If Arnold is the Manger, then who is between Aakash and Abhinav?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 49

This refers to case (2), where Arnold is between Aakash and Abhinav.

Business Mathematics Mock Test - 5 - Question 50

x > 2, y > - 1 then which of the following holds good?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 50

By putting different value of x and y we see that none of these three hold good.

Business Mathematics Mock Test - 5 - Question 51

Detailed Solution for Business Mathematics Mock Test - 5 - Question 51

Business Mathematics Mock Test - 5 - Question 52

There are three cities: A,B and C. Three friends are discussing the population (in millions) of the three cities. One says A has 9 million people. The second says: B has as many people as A and C combined. The third says: The number of people in A added to half of the number of people in B is the number of people in C. What is the total number of people (in millions) in all three cities combined?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 52

Population of A (in millions) = 9
Let the number of people in city B (in millions) be b, while those in city C (in millions) be c.
From the given information,
b=9 + c----(i)
and c=9+b/2
i.e. 2c = 18 + b----(ii)
Solving equations (i) and (ii),
b=36 and c=27
:. The total number of people in cities A, B and C combined = 9+36+27=72 million.

Business Mathematics Mock Test - 5 - Question 53

Detailed Solution for Business Mathematics Mock Test - 5 - Question 53

Business Mathematics Mock Test - 5 - Question 54

If area bounded by the curves y2 = 4ax and y = mx is a2/3 then the value of m is

Detailed Solution for Business Mathematics Mock Test - 5 - Question 54

Business Mathematics Mock Test - 5 - Question 55

If Atul is not the Teacher, then who is the Doctor?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 55

This question refers to case (2), in which Abhinav is the Doctor.

Business Mathematics Mock Test - 5 - Question 56

The seven coaches that are attached to a rail engine are AC-I, AC-II, AC-III, I, II, General Compartment (GC) and Ladies Compartment (LC). The coaches with prefix AC are Air conditioned coached and those without that prefix are non-AC coaches. No two AC coaches are together and no two non-AC coaches are together.
GC and LC are immediately at the front and immediately at the back of AC-II respectively and LC is not at an extreme end.
Compartment I is the only one between the compartments AC-I and AC-I.

Q. Which of the following statements cannot be true?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 56

Business Mathematics Mock Test - 5 - Question 57

If x and y are integers, then the equation 5 x + 19 y = 64 has

Detailed Solution for Business Mathematics Mock Test - 5 - Question 57

5x+19y=64 We see that, if y=1, we get an integer solution for x=9, now if y changes (increases or decrease) by 5.
Looking at options, if x=256 we get y=64. Using these values we see the option 1,2 and 4 are eliminated and also that these exists a solution 250<x≤300

Business Mathematics Mock Test - 5 - Question 58

If f (x) +f (x+a) + f(x+2a) +....+ f (x+na) = constant; ∀x ϵR and  a>0 and f(x) is periodic,then period of f(x), is

Detailed Solution for Business Mathematics Mock Test - 5 - Question 58

Business Mathematics Mock Test - 5 - Question 59

The value of (127)1/3 to four decimal places is

Detailed Solution for Business Mathematics Mock Test - 5 - Question 59

Business Mathematics Mock Test - 5 - Question 60

A train leaves Delhi at 6.00 a.m and reaches Agra at 10.00 a.m. Another train leaves Agra at 8.00 a.m and reaches Delhi at 11. 30 am. At what time do the two trains cross each other if the distance between Delhi and Agra is 200 Km?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 60

Business Mathematics Mock Test - 5 - Question 61

The average ambient temperatures (in degree celsius) for a region for 15 years from 2001-2015 is given below.

26.3, 29.7, 31, 29.8, 26.8, 27.6, 27.4, 27.0, 27.6, 27.8, 30.0, 32.0, 28.9, 30.5, 29.5

Q. Find the inter-quartile range of the temperatures.

Detailed Solution for Business Mathematics Mock Test - 5 - Question 61

Business Mathematics Mock Test - 5 - Question 62

The price per/kg of chicken and the quantity of chicken purchased per month in a household is tabulated below. Determine the type of correlation.

Detailed Solution for Business Mathematics Mock Test - 5 - Question 62

Business Mathematics Mock Test - 5 - Question 63

Mode of the data

15,14,19,20,14,15,16,14,15,18,14,19,15,17,15 is

Detailed Solution for Business Mathematics Mock Test - 5 - Question 63

Given Data:
15,14,19,20,14,15,16,14,15,18,14,19,15,17,15
Arranging it in ascending order: 14,14,14,14,1514,14,14,14,15,15,15,15,15,16,17,18,19,19,20
15 occurs 5 times and most number of time.
Hence, it is the mode of the data.

Business Mathematics Mock Test - 5 - Question 64

(I) The change in any price is reflected in an index number.
(II) The wholesale price index can be used to measure the monetary and real value of national income and expenditure.

Detailed Solution for Business Mathematics Mock Test - 5 - Question 64

The change in any price may or may not be reflected in a price index number as such index reflects the change in terms of averages. The wholesale price index can be used to measure the monetary and real value of national income and expenditure.

Business Mathematics Mock Test - 5 - Question 65

Your local supermarket plays the role of a______.

Detailed Solution for Business Mathematics Mock Test - 5 - Question 65

Supermarkets sell products to consumers. They play the role of distributors.

Business Mathematics Mock Test - 5 - Question 66

The distance travelled by a scooter during five months are respectively 890 km, 940 km, 640 km, 570 km and 760 km. Find the standard deviation of the distances.

Detailed Solution for Business Mathematics Mock Test - 5 - Question 66

Business Mathematics Mock Test - 5 - Question 67

Under the index of industrial production, highest weightage is given to _____.

Detailed Solution for Business Mathematics Mock Test - 5 - Question 67

Manufacturing is given about 79% weightage.

Business Mathematics Mock Test - 5 - Question 68

To present the data about the total sales of four car manufacturers along with the sales of individual models for a year, which of the following is the most appropriate?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 68

Since the total sales and the breakdown of sales by models are required to be presented for each manufacturer, we can make use of component bar diagrams for this purpose. If only the total sales were required, a simple bar diagram would have sufficed.

Business Mathematics Mock Test - 5 - Question 69

Find the quartile deviation of the data given below.

7, 3, 6, 4, 2, 11, 7

Detailed Solution for Business Mathematics Mock Test - 5 - Question 69

Business Mathematics Mock Test - 5 - Question 70

Exit polls are an example of ___

Detailed Solution for Business Mathematics Mock Test - 5 - Question 70

Exit polls are an example of random sampling. A random sample of voters who exit the polling booths are asked whom they voted for and a prediction is made based on this data.

Business Mathematics Mock Test - 5 - Question 71

David is a wheat farmer. His resources include a piece of land and some farming equipment. Which of the following would be an alternative for him, given the resources?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 71

Since David's equipment is appropriate for wheat cultivation, a viable alternative would be a similar crop which is grown in similar climatic conditions. Hence, cultivating barley would be a good alternative for him.

Business Mathematics Mock Test - 5 - Question 72

Ramesh and his friends drove through 66 mid-western states  on their summer vacation. Gasoline prices varied from state to state. What is the range of gasoline prices given below?

1.81,1.91,1.89,2.05,2.09,1.75

Detailed Solution for Business Mathematics Mock Test - 5 - Question 72

Range is the difference between the smallest and the largest values.
From the give data, the largest value is 2.09 and
the smallest value is 1.75
Therefore range is 2.09−1.75=0.34

Business Mathematics Mock Test - 5 - Question 73

Detailed Solution for Business Mathematics Mock Test - 5 - Question 73

Business Mathematics Mock Test - 5 - Question 74

Grades for the test on proofs did not go as well as the teacher had hoped. The mean grade was 68, the median grade was 64, and the standard deviation was 12. The teacher curves the score by raising each score by a total of 7 points. Which of the following statements is true?
I. The new mean is 75.
II. The new median is 71.
III. The new standard deviation is 7.

Detailed Solution for Business Mathematics Mock Test - 5 - Question 74

New Mean = Old Mean +7=68+7=75
New median = Old median+7+64+7=71
New standard deviation= old standard deviation =12

Business Mathematics Mock Test - 5 - Question 75

___ explains the specific feature of the table which is not self-explanatory.

Detailed Solution for Business Mathematics Mock Test - 5 - Question 75

Footnotes are not mandatory and are mostly used to simply explain a feature of the table that is neither self explanatory nor one that’s been explained before.

Business Mathematics Mock Test - 5 - Question 76

Mode is the ___ .

Detailed Solution for Business Mathematics Mock Test - 5 - Question 76

Mode is the most frequently observed value.

Business Mathematics Mock Test - 5 - Question 77

In a diagnostic test in mathematics given to students, the following marks (out of 100100) are recorded:

46,52,48,11,41,62,54,53,96,40,98,44

Q. Which average will be a good representative of the above data?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 77

Median will be a good representative of the data, because (i)(i)each value occurs once, (ii)(ii)the data is influenced by extreme values. Hence, option BB is the correct answer.

Business Mathematics Mock Test - 5 - Question 78

If the mean of x and 1/x is M, then the mean of x3 and 1/x3

Detailed Solution for Business Mathematics Mock Test - 5 - Question 78

Business Mathematics Mock Test - 5 - Question 79

In which of the following modes of data collection is a respondent least likely to be inhibited?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 79

In the mailing questionnaire method, because of the absence of an interviewer, there will be no inhibition on part of the respondent. Also, since the anonymity of the respondent can be protected in this method, there will be fewer inhibitions.

Business Mathematics Mock Test - 5 - Question 80

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 - 5 - Question 80

Business Mathematics Mock Test - 5 - Question 81

Swetha has created a short film and uploaded it on Youtube. Arun watched the short film.

Identify the correct statement(s) about the above scenario.

Detailed Solution for Business Mathematics Mock Test - 5 - Question 81

Since Swetha has created the film(the product), she is the creator. Youtube acts as the distributor and Arun, the viewer, is the consumer.

Business Mathematics Mock Test - 5 - Question 82

Identify the type of classifications from the given table.

Detailed Solution for Business Mathematics Mock Test - 5 - Question 82

Since the given distribution is classified on the basis of year and geography (revenue of states), it consists of chronological and spatial classifications respectively.

Business Mathematics Mock Test - 5 - Question 83

Find the standard deviation of 210,240,250,260,220,230 and 270.

Detailed Solution for Business Mathematics Mock Test - 5 - Question 83

Business Mathematics Mock Test - 5 - Question 84

Discrete variables and continuous variables are examples of _________

Detailed Solution for Business Mathematics Mock Test - 5 - Question 84

Discrete variables and continuous variables are examples of quantitative classification.

Business Mathematics Mock Test - 5 - Question 85

A database consists of the poverty levels of all the states in India for the last 10 years. In order to present the data of the most and the least poor states in the last 5 years, which of the following can be used to show it on a graph?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 85

Since the data to be presented has 2 bars of the same category(the most poor and the least poor) and it is required to show the trends of these in the last 5 years, multiple bar diagram is the best suited for a graph.

Business Mathematics Mock Test - 5 - Question 86

Find the mode of the following data.

Detailed Solution for Business Mathematics Mock Test - 5 - Question 86

Mode is the most common observation. In the given data, 8 occurs 3 times, more than any other number. Hence, the mode is 8.

Business Mathematics Mock Test - 5 - Question 87

The median class for the following data is

Detailed Solution for Business Mathematics Mock Test - 5 - Question 87

Business Mathematics Mock Test - 5 - Question 88

The scores of 8 students in a test are 16, 13, 21, 14, 9, 19, 24, 25. Find the standard deviation of their scores using direct method.

Detailed Solution for Business Mathematics Mock Test - 5 - Question 88

Business Mathematics Mock Test - 5 - Question 89

The demand for a good at different price points is given in the below. Find the correlation coefficeint between price and quantity demanded.

Detailed Solution for Business Mathematics Mock Test - 5 - Question 89

Business Mathematics Mock Test - 5 - Question 90

Find the shop with greatest fraction of sale on tuesday

Detailed Solution for Business Mathematics Mock Test - 5 - Question 90

Business Mathematics Mock Test - 5 - Question 91

A company X was acquired by another company Y. Company Y came into possession of customer feedback data collected by company X. What can be said about the nature of the data?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 91

The data collected by another party is classified as secondary data irrespective of the purpose which it is used for.

Business Mathematics Mock Test - 5 - Question 92

Identify the correct statement(s) about the correlation between two variables.
Statement 1: Correlation does not show that there is a causal relationship between two variables
Statement 2: Correlation shows the degree to which variations in one variable explain the variation of the second variable

Detailed Solution for Business Mathematics Mock Test - 5 - Question 92

Correlation shows the degree to which variations in one variable explain the variation of the second variable. It does not show that there is a causal relationship between two variables.

Business Mathematics Mock Test - 5 - Question 93

Temperature, height, weight and marks are all examples of a _________.

Detailed Solution for Business Mathematics Mock Test - 5 - Question 93

There is no restriction to the type of values that can be taken by variables like temperature, height, weight and marks. Hence they would be examples of continuous variables.

Business Mathematics Mock Test - 5 - Question 94

Which of the following can be used as measures of dispersions?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 94

Following terms used as measures of dispersion are:-
a) Range
b) Percentile
c) Standard eviation
d) Mean deviation.

Business Mathematics Mock Test - 5 - Question 95

Identify the type of classification from the below table.

Detailed Solution for Business Mathematics Mock Test - 5 - Question 95

Since the given distribution is classified on the basis of income level, which is a qualitative characterisitc, this is a qualitative classification.

Business Mathematics Mock Test - 5 - Question 96

Variables in a correlation are called ___

Detailed Solution for Business Mathematics Mock Test - 5 - Question 96

Variables in a correlation are called co-variables.

Business Mathematics Mock Test - 5 - Question 97

The following numbers are  given as 61,62,63,61,63,64,64,60,65,63,64,65,66,64 The difference between their mean and median is

Detailed Solution for Business Mathematics Mock Test - 5 - Question 97

Business Mathematics Mock Test - 5 - Question 98

You are the hiring manager for a telemarketing company. The business is expanding and you need to hire new people. You are short on time and your budget is restricted. Which method would you use to collect data to identify a suitable candidate for the job?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 98

Telephonic interviews are cheap and time efficient. Hence, a large number of people can be interviewed within a short time.

Business Mathematics Mock Test - 5 - Question 99

The median for the data is

Detailed Solution for Business Mathematics Mock Test - 5 - Question 99

Business Mathematics Mock Test - 5 - Question 100

Construct a price index for the following using Average of price relative method.

Detailed Solution for Business Mathematics Mock Test - 5 - Question 100

## Mock Tests & Past Year Papers for CA Foundation

83 docs|19 tests
 Use Code STAYHOME200 and get INR 200 additional OFF Use Coupon Code