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Business Mathematics Mock Test - 4


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Business Mathematics Mock Test - 4 for CA Foundation 2023 is part of Mock Tests & Past Year Papers for CA Foundation preparation. The Business Mathematics Mock Test - 4 questions and answers have been prepared according to the CA Foundation exam syllabus.The Business Mathematics Mock Test - 4 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 - 4 below.
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Business Mathematics Mock Test - 4 - Question 1

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


Business Mathematics Mock Test - 4 - Question 2

If xcos y+ycos x=5.

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Business Mathematics Mock Test - 4 - Question 3

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Business Mathematics Mock Test - 4 - Question 4

The point in the interval [0,2π] where f(x)=ex sin x has maximum slope, is

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

We have

Business Mathematics Mock Test - 4 - Question 5

 3-3log35= 

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Business Mathematics Mock Test - 4 - Question 6

Detailed Solution for Business Mathematics Mock Test - 4 - Question 6


Business Mathematics Mock Test - 4 - Question 7

If f (x) is differentiable in the interval [2, 5], where f (2)=1/5  and f (5)=1/2, then there exists a number c, 2 < c < 5 for which f ' (c) is equal to  

Detailed Solution for Business Mathematics Mock Test - 4 - Question 7

As f(x) is differentiable in [2,5], therefore, it is also

Business Mathematics Mock Test - 4 - Question 8

If in a certain code, LUTE is written as MUTE and FATE is written as GATE, then how will BLUE be written in that code?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 8

Business Mathematics Mock Test - 4 - Question 9

In a certain code, PRODUCTIONS is written as QQPCVEUHPMT. How is ORIENTATION written in that code?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 9

Business Mathematics Mock Test - 4 - Question 10

Detailed Solution for Business Mathematics Mock Test - 4 - Question 10

Business Mathematics Mock Test - 4 - Question 11

If a,b,c are non – zero real numbers and if the equations (a-1) x = y + z, (b -1)y = z + x, (c - 1)z = x + y has a non trivial solution, then ab + bc + ca is equal to

Detailed Solution for Business Mathematics Mock Test - 4 - Question 11

For non trival solution

Business Mathematics Mock Test - 4 - Question 12

Answer the question based on the following information.

The city K is 30 Km to the southeast of Z while Y is 50 Km to the northwest of K. Also , H is 38 Km to the southeast of Y. L lies in the direct route between Y and K and its distance from H is 14 Km. G also lies on this route and is exactly midway between L and Y. 

Q. A car starting from K at 9 am and running at a constant speed towards Y reaches H at 9.24 am and then reaches G at

Detailed Solution for Business Mathematics Mock Test - 4 - Question 12

The car covers K to h - a distance of 12 kms in 24 minutes according to the figure (starting at 9 am and reaching at 9 : 24 am). From H to G, the distance is 26 kms.
(18 H to Z + 8 Z to G). Since the car has covered 12 kms in 24 minutes, it is obvious that it is taking 2 minutes to cover 1 km.
We also know that the sped of the car is constant throughout.
Hence, the car would take another 52 minutes to cover the 26 kms distance between H to G This means that the car would reach G at 10:16 am(52 minutes after 9:24 am).

Business Mathematics Mock Test - 4 - Question 13

(log2x)2-3log2x+2=0  

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Business Mathematics Mock Test - 4 - Question 14

In a certain code, FAVOUR is written as EBUPTS. How is DANGER written in that code?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 14

Business Mathematics Mock Test - 4 - Question 15

Answer the question based on the following information.

The city K is 30 Km to the southeast of Z while Y is 50 Km to the northwest of K. Also , H is 38 Km to the southeast of Y. L lies in the direct route between Y and K and its distance from H is 14 Km. G also lies on this route and is exactly midway between L and Y.

Q. The distance from G to H is

Detailed Solution for Business Mathematics Mock Test - 4 - Question 15

G to Z, the distance is 8 km (20 km from Y to Z - 12 km from Y to G). Further, from Z to H the distance is 18 km (from the figure based on the logic that if H is 38 km southeast of Y and Z is 20 km southeast of Y, the distance from Z to H would be 38 - 20).
Total distance would be 8 + 18 = 26 km.

Business Mathematics Mock Test - 4 - Question 16

If P+√3Q+√5R+√15S=(1+√3+√5)-1, then :p=

Detailed Solution for Business Mathematics Mock Test - 4 - Question 16

Business Mathematics Mock Test - 4 - Question 17


( Where c is the constant of integeration)

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Business Mathematics Mock Test - 4 - Question 18

Range of  is (where [x] denotes the greatest integer function)

Detailed Solution for Business Mathematics Mock Test - 4 - Question 18

Business Mathematics Mock Test - 4 - Question 19

The value of  is equal to

Detailed Solution for Business Mathematics Mock Test - 4 - Question 19


Business Mathematics Mock Test - 4 - Question 20

Detailed Solution for Business Mathematics Mock Test - 4 - Question 20

Business Mathematics Mock Test - 4 - Question 21

Let Where [x] denotes the greatest integer function. Then, the range of f is

Detailed Solution for Business Mathematics Mock Test - 4 - Question 21

The graph of y=x−[x ]is as shown below

Business Mathematics Mock Test - 4 - Question 22

Between any two real roots of the equation ex sin x = 1, the equation ex cos x = - 1 has

Detailed Solution for Business Mathematics Mock Test - 4 - Question 22

Business Mathematics Mock Test - 4 - Question 23

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Business Mathematics Mock Test - 4 - Question 24

In a certain code language, ORIENTAL is written as MBUOFJSP. How is COWARDLY written in that code language?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 24

Business Mathematics Mock Test - 4 - Question 25


These question are based on the diagram given below showing four persons Amar, Bhushan, Chandu and Dilip stationed at four corners of a square piece of plot as shown.

From the positions in the original figure,Bhushan and Amar move diagonally to opposite corners and then one side each clockwise and anticlockwise respectively. Chandu and Dilip move three side each anticlockwise and clockwise respectively. Where is the Amar now?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 25

Amar would reach Bhushan's original position as seen in the figure from the final positions. He would be at the southeast corner.
Refer the diagram.

Business Mathematics Mock Test - 4 - Question 26

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.
In the previous question, if AC-I is the fourth coach behind the engine, which is immediately in front of AC-III?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 26

If AC-I is the fourth coach behind the engine, the possible arrangement is as follows.
(1) GC
(2) AC-II
(3) LC 
(4) AC-I
(5) I
(6) AC-III
(7) II 
Hence, AC-II is the second coach behind the engine.

Business Mathematics Mock Test - 4 - Question 27

 then which of the following is definitely true if x is an integer  

Detailed Solution for Business Mathematics Mock Test - 4 - Question 27

Business Mathematics Mock Test - 4 - Question 28

The equation x log x = 3 - x has, in the interval (1, 3),

Detailed Solution for Business Mathematics Mock Test - 4 - Question 28

Business Mathematics Mock Test - 4 - Question 29


These question are based on the diagram given below showing four persons Amar, Bhushan, Chandu and Dilip stationed at four corners of a square piece of plot as shown. 
From the original position, Bhushan and Dilip move one and the half length of sides clockwise and anti clockwise receptively.

Q. which one of the following statement is now true?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 29

The final position would be:
Refer the diagram.

Business Mathematics Mock Test - 4 - Question 30

These question are based on the diagram given below showing four persons Amar, Bhushan, Chandu and Dilip stationed at four corners of a square piece of plot as shown.
Amar start crossing the plot diagonally, After walking half distance, he turns right (900) , walks some distance and turns left.

Q. Which direction is A facing now?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 30

To get to the answer we must assume. Amar to be at the point of dissection of the two direction lines. After walking half the distance, Amar will reach the mid of the diagonal, then turn right and face northwest and after that would face the southwest direction when he turns left. (Note that the direction in the figure are different from the usual north, south, east, west directions as the north is in the east position).

Business Mathematics Mock Test - 4 - Question 31

log927  

Detailed Solution for Business Mathematics Mock Test - 4 - Question 31

Business Mathematics Mock Test - 4 - Question 32

3x+2y≤24; x≥5 & y≥2; then which of the following is a valid range?  

Detailed Solution for Business Mathematics Mock Test - 4 - Question 32

Business Mathematics Mock Test - 4 - Question 33

Find the area enclosed by the curve x = y2 + 2, ordinates y = 0 & y = 3 and the Y - axis. 

Detailed Solution for Business Mathematics Mock Test - 4 - Question 33


Business Mathematics Mock Test - 4 - Question 34

Answer the question based on the following information.

The city K is 30 Km to the southeast of Z while Y is 50 Km to the northwest of K. Also , H is 38 Km to the southeast of Y. L lies in the direct route between Y and K and its distance from H is 14 Km. G also lies on this route and is exactly midway between L and Y. 

Q. If M is 1 Km to the Southeast of L, then it is exactly midway between

Detailed Solution for Business Mathematics Mock Test - 4 - Question 34

The total distance between Y and K is 50 km (20 km from Y to Z and 30 km from Z to K). If M is 1 km southeast of L, it means that M is 4 + 1 = 5 km from Z.This would also mean that M is 25 km from Y. Hence, M would be exactly midway between Y and K.

Business Mathematics Mock Test - 4 - Question 35

 If |3x+9|<3; then. 

Detailed Solution for Business Mathematics Mock Test - 4 - Question 35

|3x+9|<3
∴-3<3x+9<3
∴3x+9>-3 or 3x+9<3
∴3x>-12 or 3x<-6
∴x>-4 or x<-2
∴-4<x<-2

Business Mathematics Mock Test - 4 - Question 36

With reference to a universal set, the inclusion of a subset in another, is relation, which is

Detailed Solution for Business Mathematics Mock Test - 4 - Question 36

Business Mathematics Mock Test - 4 - Question 37

The range of the function  is

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Business Mathematics Mock Test - 4 - Question 38

Detailed Solution for Business Mathematics Mock Test - 4 - Question 38

Since it is an identity in λ so satisfied by every value of 

Business Mathematics Mock Test - 4 - Question 39

Detailed Solution for Business Mathematics Mock Test - 4 - Question 39

Business Mathematics Mock Test - 4 - Question 40

The derivative of  is 

Detailed Solution for Business Mathematics Mock Test - 4 - Question 40


Business Mathematics Mock Test - 4 - Question 41

Detailed Solution for Business Mathematics Mock Test - 4 - Question 41


Business Mathematics Mock Test - 4 - Question 42

In a certain code, ROAD is written as URDG. How is SWAN written in that code?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 42

Business Mathematics Mock Test - 4 - Question 43

 In a certain code language, OPERATION is written as NODQBUJPO. How is INVISIBLE written in that code?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 43

Business Mathematics Mock Test - 4 - Question 44

If TRUTH is coded as SUQSTVSUGI, then the code for FALSE will be

Detailed Solution for Business Mathematics Mock Test - 4 - Question 44

Business Mathematics Mock Test - 4 - Question 45

 If 3x2-3x-18>0; then 

Detailed Solution for Business Mathematics Mock Test - 4 - Question 45

Business Mathematics Mock Test - 4 - Question 46

Detailed Solution for Business Mathematics Mock Test - 4 - Question 46


Business Mathematics Mock Test - 4 - Question 47

In a certain code language, COMPUTER is written as RFUVQNPC. How is MEDICINE written in the same code?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 47

Business Mathematics Mock Test - 4 - Question 48

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

Detailed Solution for Business Mathematics Mock Test - 4 - Question 48

Business Mathematics Mock Test - 4 - Question 49

These question are based on the diagram given below showing four persons Amar, Bhushan, Chandu and Dilip stationed at four corners of a square piece of plot as shown.
A road network has parallel and perpendicular roads running northsouth or eastwest only. Junction Intersection on this road network are marked as A, B, C, D .... all roads are at exactly half a Kilometer distance from each other. The following is know about junction A, B, C, H, and X.
'A' is east of 'B' and west of 'C' , 'H' is southwest of 'C' and Southeast of B. 'B' is southeast of 'X" which junction are the farthest south and the farthest east?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 49

It can be inferred from figure below that H is the farthest south and C is the farthest east.
X
B A C
H

Business Mathematics Mock Test - 4 - Question 50

If m>n; which of the following is definitely true? (m&n are real numbers.) 

Detailed Solution for Business Mathematics Mock Test - 4 - Question 50

Business Mathematics Mock Test - 4 - Question 51

The value of  Where [.] denotes the greatest integer function, is equal to

Detailed Solution for Business Mathematics Mock Test - 4 - Question 51

Business Mathematics Mock Test - 4 - Question 52

 If (x-16)2≥0 & x ∈ R; then which of the following is definitely true?  

Detailed Solution for Business Mathematics Mock Test - 4 - Question 52

Consider each option.
Option 1: If x<16i.e. if x=15; the expression is (15-16)2⇒(-1)2=1≥0. Hence the expression is true for x≤16 also. Hence, option 1 can be eliminated.
Option 2: If x=16 as in the above case; the expression holds true. Hence, option 2 can also be eliminated.
Option 3:if we take the value of x other than these specified in the range; i.e. x=20; the expression is (20-16)2=42=16≥0.i.e.
it holds true. Hence, option 3 can be eliminated.

Business Mathematics Mock Test - 4 - Question 53

Detailed Solution for Business Mathematics Mock Test - 4 - Question 53

Business Mathematics Mock Test - 4 - Question 54

Detailed Solution for Business Mathematics Mock Test - 4 - Question 54

Business Mathematics Mock Test - 4 - Question 55


These question are based on the diagram given below showing four persons Amar, Bhushan, Chandu and Dilip stationed at four corners of a square piece of plot as shown.
The Survana and Rekha river flows from west to east and on the way turns left and goes in a quarter circle around a Shiv temple, and then turns left in right-angles.

Q. In which direction is the river finally flowing?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 55

From the given figure it is clear that the river would be flowing to north.

Business Mathematics Mock Test - 4 - Question 56

Raveena walks 10 Km from her house, turns left and walks 25 Km, again turns left and walks 40 Km, then turns right and walks 5 Km to reach her office. In which direction was the office from her house?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 56

The journey would be as per the figure. Her office would be northeast from her house.

Business Mathematics Mock Test - 4 - Question 57

If 15x2-34x+15≤0; then  

Detailed Solution for Business Mathematics Mock Test - 4 - Question 57

Business Mathematics Mock Test - 4 - Question 58

Detailed Solution for Business Mathematics Mock Test - 4 - Question 58

Business Mathematics Mock Test - 4 - Question 59

The approximate value of square root of 25.2 is 

Detailed Solution for Business Mathematics Mock Test - 4 - Question 59

Business Mathematics Mock Test - 4 - Question 60

In a certain code, MONKEY is written as XDJMNL. How is TIGER written in that code?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 60

Business Mathematics Mock Test - 4 - Question 61

The ages and weights of 5 children are given below. Calculate covariance.

Detailed Solution for Business Mathematics Mock Test - 4 - Question 61

Business Mathematics Mock Test - 4 - Question 62

An ideal index number would be one which takes into account as weights ______.

Detailed Solution for Business Mathematics Mock Test - 4 - Question 62

Prices and quantities of both base and current year when taken into consideration give a more consistent result as compared to other indexes deploying either only prices or quantities.

Business Mathematics Mock Test - 4 - Question 63

For two data sets, each of size 5, the variances are given to be 4 and 5 and the corresponding means are given to be 2 and 4, respectively. The variance of the combined data set is 

Detailed Solution for Business Mathematics Mock Test - 4 - Question 63

Business Mathematics Mock Test - 4 - Question 64

Study the pie chart and information given and answer the following question.There are 1150 students of a school opted sports as a hobby.

Q. What is the total number of students in the school?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 64

23% of total students opted sports as a hobby
Let total number of students be x
0.23x=1150
x=5000

Business Mathematics Mock Test - 4 - Question 65

Reliability of sampling data depends on ___ .

Detailed Solution for Business Mathematics Mock Test - 4 - Question 65

Reliability of sampling data depends on all of the mentioned factors

Business Mathematics Mock Test - 4 - Question 66

The quantity of goods produced and costs incurred by a firm are tabulated below. Find the correlation coefficient using Karl Pearson's formula.

Detailed Solution for Business Mathematics Mock Test - 4 - Question 66

Business Mathematics Mock Test - 4 - Question 67

Two samples of water of equal mass are heated to 60° Celsius (C). One sample is poured into an insulated container and the other sample is poured into a non-insulated container. The samples are then left for 70 minutes to cool in a room having a temperature of 25°. The graph above shows the temperature of each sample at 10-minute intervals. Which of the following statements correctly compares the average rates at which the temperatures of the two samples change?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 67

Business Mathematics Mock Test - 4 - Question 68

The below table shows the profit made by a group of shops in mall. Then the median is

Detailed Solution for Business Mathematics Mock Test - 4 - Question 68

Business Mathematics Mock Test - 4 - Question 69

The number of hours spent studying and percentage marks for 5 students are tabulated below. Find the correlation coefficient using Karl Pearson's formula. 

Detailed Solution for Business Mathematics Mock Test - 4 - Question 69

Business Mathematics Mock Test - 4 - Question 70

Which of the following is not a source of primary data?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 70

Only the data directly collected by a person or an entity is primary data. Therefore, government-published records are secondary data.

Business Mathematics Mock Test - 4 - Question 71

In Economics, data and Statistics are important because _____ .

Detailed Solution for Business Mathematics Mock Test - 4 - Question 71

It helps a producer decide what to make and a consumer decide what to buy.

Business Mathematics Mock Test - 4 - Question 72

Below is given distribution of profit (in Rs.) per day of a shop in a certain town.

Q. Calculate median profit of shops.

Detailed Solution for Business Mathematics Mock Test - 4 - Question 72

Business Mathematics Mock Test - 4 - Question 73

For a data set, the coefficient of range is 0.5. The largest observation is 12. Find the smallest observation.

Detailed Solution for Business Mathematics Mock Test - 4 - Question 73

Given that the coefficient of range is 0.5.
(L−S)/(L+S)=0.5
⇒L=3S
Given that L=12.
∴ 3S=12
S=4

Business Mathematics Mock Test - 4 - Question 74

The marks obtained by 19 students of a class are 27,36,22,31,25,26,33,24,37,32,29,28,36,35,27,26,32,35 and 28. Find the upper quartile.

Detailed Solution for Business Mathematics Mock Test - 4 - Question 74

Business Mathematics Mock Test - 4 - Question 75

For a distribution,

Q. If the mean of the distribution is 6, what is the value of x?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 75

Business Mathematics Mock Test - 4 - Question 76

Data A has a mean of 100 and standard deviation of 10. Data B has a mean of 1000 and standard deviation of 50. Which data shows more variability?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 76

To compare dissimilar data, relative measures should be used. Here, the coefficient of variation of set A and set B can be compared.

Hence, data A shows more variability.

Business Mathematics Mock Test - 4 - Question 77

Find the variance of the series 5, 8, 11, 14 and 17.....

Detailed Solution for Business Mathematics Mock Test - 4 - Question 77

Business Mathematics Mock Test - 4 - Question 78

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

Detailed Solution for Business Mathematics Mock Test - 4 - Question 78

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 - 4 - Question 79

The method in which every class interval excludes the items corresponding to its upper limit is called _________. 

Detailed Solution for Business Mathematics Mock Test - 4 - Question 79

Exclusive method is where the upper limit of a class interval corresponds to the successive class. For example : In a frequency distribution with classes 0-5,5-10 all the way upto 25-30, the number 20 in the dataset will not fall under the class 15-20 but instead will fall under 20-25 according to the exclusive method. 

Business Mathematics Mock Test - 4 - Question 80

The table above lists the annual budget, in thousands of dollars, for each of six different state programs in Kansas from 2007 to 2010.
Of the following, which program's ratio of its 2007 budget to its 2010 budget is closest to the human resources program's ratio of its 2007 budget to its 2010 budget?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 80

Business Mathematics Mock Test - 4 - Question 81

A market survey was conducted to study the effectiveness of a new feature in a smart phone. For this purpose, a sample of 1000 people was chosen. However, only 947 people actually attended the survey. This is a type of ___.

Detailed Solution for Business Mathematics Mock Test - 4 - Question 81

Non-response error occurs when sampling units selected for a sample are not interviewed. The non-response may be due to unwillingness or unavailability. It is a non-sampling error.

Business Mathematics Mock Test - 4 - Question 82

___ is formed by joining mid-points of the top edges of all the rectangles in a histogram.

Detailed Solution for Business Mathematics Mock Test - 4 - Question 82

Frequency polygons are plotted in the described manner.

Business Mathematics Mock Test - 4 - Question 83

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

Q. The number of classes in the distribution will be:

Detailed Solution for Business Mathematics Mock Test - 4 - Question 83

If one the classes is 63−72 then the range of the class is 10(72 included))
Range of the given data points =112−30=82
Number of classes =82/10=8.2
Classes required will be 9 after round off.

Business Mathematics Mock Test - 4 - Question 84

The frequency distribution that uses two variables is called _________

Business Mathematics Mock Test - 4 - Question 85

If the median of the following data is 50, then find p.

Detailed Solution for Business Mathematics Mock Test - 4 - Question 85

Business Mathematics Mock Test - 4 - Question 86

The average ambient temperatures (in degrees celsius) for a region for 15 years from 2001-2015 is given below.26.3, 29.7, 31.0, 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. Calculate the coefficient of range for the temperatures.

Detailed Solution for Business Mathematics Mock Test - 4 - Question 86

The lowest temperature is 26.3 degrees and the highest temperature is 32.0 degrees.

Business Mathematics Mock Test - 4 - Question 87

Given below is the Lorenz curve representing the percentage revenues of car manufacturing companies worldwide.

Q. The top 20 percentage of the companies generate what percentage of revenue?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 87

From the Lorenz curve, the bottom 80% of the companies generate 40% of the revenue. Hence, the top 20% of the companies generate 60% of the revenue.

Business Mathematics Mock Test - 4 - Question 88

When the stock market goes up, an investor in the companies listed on it will find his investments ___.

Detailed Solution for Business Mathematics Mock Test - 4 - Question 88

It depends on in which stocks he has made his investment and their weightage in that index/stock market. There could be a possibility that the particular stocks in which the investor has invested are in red despite the overall index in green.

Business Mathematics Mock Test - 4 - Question 89

The give bar graph here shows the percentage distribution of the total production of a car manufacture company into various models over two years. Study the graph carefully and answer the question.
Percentage of six different types of car manufactured by a company over two year.
Difference between total number of cars of models  P, Q and T manufactured in 2000 and 2001 is _____.

Detailed Solution for Business Mathematics Mock Test - 4 - Question 89

Business Mathematics Mock Test - 4 - Question 90

The mean of two samples of sizes 200 and  300 were found to be 25 and 10 respectively. Their standard deviations were 3 and  4 respectively. The varience of combined sample size of  500 is

Detailed Solution for Business Mathematics Mock Test - 4 - Question 90

Business Mathematics Mock Test - 4 - Question 91

The number of people in a given state have been divided into these age groups(classes): 10-19 and 20-29. What are the lower limits of these classes?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 91

Since the number of people are discrete variables, the lower limits of these classes are 10 and 20. 

Business Mathematics Mock Test - 4 - Question 92

(I) A rising price index implies a growing level of economic activity.
(II) Simple index number can be constructed only by the simple aggregative method.

Detailed Solution for Business Mathematics Mock Test - 4 - Question 92

The rise in price index could be due to other reasons as well and not necessarily due to higher economic activity.
As for statement (II), simple average of price relatives is another method.

Business Mathematics Mock Test - 4 - Question 93

What helps in overcoming loss of information?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 93

A frequency array depicts how many times a particular observation occurs in a data set. This prevents the loss of information.

Business Mathematics Mock Test - 4 - Question 94

Mean of twenty observations is 15. If two observations 3 and 14 are replaced by 8 and 9 respectively, then the new mean will be

Detailed Solution for Business Mathematics Mock Test - 4 - Question 94

Mean of 20 observations =15 
∴ Sum of 20 observations =15×20=300
Replacing 3 and 14 by 8 and 9 will mean that 3+14=17 is replaced by 8+9=17.
Hence there will be no effect on the sum. It will still remain 300, so the mean will not change and will remain 15.

Business Mathematics Mock Test - 4 - Question 95

A huge amount of data has to be analysed on priority. Which of the following would best suit to present this data?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 95

In geometric diagrams, the representations are shown through geometric shapes and figures. Circles and rectangles are among the shapes that are used for geometric diagrams. This helps in easily analysing a huge amount of data.

Business Mathematics Mock Test - 4 - Question 96

Select and write the appropriate answer from the given alternatives in each of the following sub-questions:
Let the p.m.f of a random variable X be
P(x)=(3−x)/10  for x = −1,0,
otherwise
Then E(X) is _______. 

Detailed Solution for Business Mathematics Mock Test - 4 - Question 96

Business Mathematics Mock Test - 4 - Question 97

For what number of days, x$, will the total cost of buying the materials and renting the tools from store B be less than or equal to the total cost of buying the materials and renting the tools from Store A ?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 97

Business Mathematics Mock Test - 4 - Question 98

Which of the following representations is right using tally marks?

Detailed Solution for Business Mathematics Mock Test - 4 - Question 98

Representing tally mark with straight bars till the count of 4 and a slash for the 5th count.

Business Mathematics Mock Test - 4 - Question 99

The coefficient of variation of data pertaining to the goals scored by two teams A and B in a football season are 0.35 and 0.72 respectively. The true statement is

Detailed Solution for Business Mathematics Mock Test - 4 - Question 99

The coefficient of variation is a measure of consistency. Lower, the C.V, more consistent the data is. In this case, team A has a lower C.V and hence, is more consistent.

Business Mathematics Mock Test - 4 - Question 100

the coefficient of quartile deviation is 

Detailed Solution for Business Mathematics Mock Test - 4 - Question 100

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