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Business Mathematics Mock Test - 3


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100 Questions MCQ Test Mock Tests & Past Year Papers for CA Foundation | Business Mathematics Mock Test - 3

Business Mathematics Mock Test - 3 for CA Foundation 2023 is part of Mock Tests & Past Year Papers for CA Foundation preparation. The Business Mathematics Mock Test - 3 questions and answers have been prepared according to the CA Foundation exam syllabus.The Business Mathematics Mock Test - 3 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 - 3 below.
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Business Mathematics Mock Test - 3 - Question 1

f: R x R → R such that f(x + iy) = Then, f is 

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

Since, f (x + iy) = f (x - iy) 
∴f is many – one
Also, Range =R+and codomain = R.
∴Range ⊏codomain ⇒f is into.
Hence, f is many – one into.

Business Mathematics Mock Test - 3 - Question 2

Detailed Solution for Business Mathematics Mock Test - 3 - Question 2

Business Mathematics Mock Test - 3 - Question 3

Let f (x) = sinx + ax + b. Then f(x) = 0 has

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

f'(x) = - cosx + a, if a>1,then f(x) entirely increasing. So f(x) =0 has only one real root, which is positive if f(0) < 0 and negative if f(0) > 0.
Similarly when a <-1. Then f(x) entirely decreasing. So f(x) has only one real root which is negative if f(0) < 0 and positive if f(0) > 0

Business Mathematics Mock Test - 3 - Question 4

If sin y = x sin (a + y) and  then the value of A is 

Detailed Solution for Business Mathematics Mock Test - 3 - Question 4

Business Mathematics Mock Test - 3 - Question 5

If x:y=2:3 and y:z=4:3, then x:y:z= 

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

Business Mathematics Mock Test - 3 - Question 6

Detailed Solution for Business Mathematics Mock Test - 3 - Question 6


Business Mathematics Mock Test - 3 - Question 7

Detailed Solution for Business Mathematics Mock Test - 3 - Question 7

Business Mathematics Mock Test - 3 - Question 8

0, 7, 26, ?, 124, 215

Detailed Solution for Business Mathematics Mock Test - 3 - Question 8

Clearly the given series is 13-1,23-1,33-1,43-1,53-1,63-1. So, the missing number is 43-1=63.

Business Mathematics Mock Test - 3 - Question 9

Complete the given series.

AYBZC, DWEXF, GUHVI, JSKTL, (?), POQPR

Detailed Solution for Business Mathematics Mock Test - 3 - Question 9

Business Mathematics Mock Test - 3 - Question 10

If x and y are two unequal positive numbers, then which of the following is definitely true? 

Detailed Solution for Business Mathematics Mock Test - 3 - Question 10

Business Mathematics Mock Test - 3 - Question 11

Detailed Solution for Business Mathematics Mock Test - 3 - Question 11


Business Mathematics Mock Test - 3 - Question 12

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

Detailed Solution for Business Mathematics Mock Test - 3 - Question 12

Business Mathematics Mock Test - 3 - Question 13

The ratio of two quantities is 3:4. if the antecedent of its inverse ratio is 100, then its consequent is

Detailed Solution for Business Mathematics Mock Test - 3 - Question 13

Business Mathematics Mock Test - 3 - Question 14

5, 16, 51, 158, .....?

Detailed Solution for Business Mathematics Mock Test - 3 - Question 14

16 = 5 X 3 + 1, 51 = 16 X 3 +3 , 158 = 51 X 3 + 5
:. Next term = 158 x 3 + 7 = 481

Business Mathematics Mock Test - 3 - Question 15

The annual gathering of a college was organised on a day. Six different programmes - drama , singing , mimicry ,speech , story -telling and dance are to be performed by six student A , B , C , D , E , and F , not necessarily in the same order. the programme begins with a song not sung by B and ends with a dance. C performs mimicry immediately after the speech. E performs drama just before the dance. D or F are not available for the last performance. The speech is not given by A. An interval of 30 minutes is given immediately after mimicry with three more items remaining to be performed . D performs immediately after the interval .

Q. Which items is performed by F ?

Detailed Solution for Business Mathematics Mock Test - 3 - Question 15

Data inadequate, Since F can be neither song or speech.
Option (d) is correct.

Business Mathematics Mock Test - 3 - Question 16

If the angles of a triangle are in the ratio 2 : 7 : 11, then their respective degree measures are

Detailed Solution for Business Mathematics Mock Test - 3 - Question 16

Let in ΔPQR,m∠P:m∠Q=m∠R =2:7:11 let x be the common multiple
∴m∠P=2x°,m∠Q=7x°,m∠R=11x°⇒m∠P+m∠Q+m∠R=180° ⇒2x°+7x°+11x°=180° ⇒20x°=180° ⇒x°=9°
∴m∠P=2×9=18°⇒m∠Q=7×9=63° ⇒m∠R=11×9=99°
∴ Required measures of angles are 18°,63°,99°

Business Mathematics Mock Test - 3 - Question 17

The number of values of x where the function f(x) = 2 (cos 3x + cos √3x attains itsmaximum, is

Detailed Solution for Business Mathematics Mock Test - 3 - Question 17

Business Mathematics Mock Test - 3 - Question 18

If the function f : [1,∞) → [1,∞) is defined by f (x) = 2x(x-1), then f-1(x) is 

Detailed Solution for Business Mathematics Mock Test - 3 - Question 18


Business Mathematics Mock Test - 3 - Question 19

A function y =f(x) has a second order derivative f"=6(x-1). If its graph passes through the point(2,1) and at that point the tangent to the graph is y =3x -5, then the function is 

Detailed Solution for Business Mathematics Mock Test - 3 - Question 19

Since f''(x)=6(-1)

Business Mathematics Mock Test - 3 - Question 20

Find the range of values of x that satisfy the inequalities x2-x-6>0 and x2-6x-7<0

Detailed Solution for Business Mathematics Mock Test - 3 - Question 20

Business Mathematics Mock Test - 3 - Question 21

Let f: R → R, g: R → R, be two functions, such that f(x) = 2x - 3, g (x) = x3 + 5 the function (fog)-1 (x) is equal to 

Detailed Solution for Business Mathematics Mock Test - 3 - Question 21

Business Mathematics Mock Test - 3 - Question 22

A function f such that f (a) = f"(a) =  ........... f2n (a) = 0 and f has a local maximum value b at x = a, if f(x) is 

Detailed Solution for Business Mathematics Mock Test - 3 - Question 22

Business Mathematics Mock Test - 3 - Question 23

The solution of (y(1 + x-1) + siny) dx + (x + logx + x cosy) dy = 0 is 

Detailed Solution for Business Mathematics Mock Test - 3 - Question 23

This given equation can be written as

Business Mathematics Mock Test - 3 - Question 24

The post office is to the east of the school while my house is to the south of the school. The market is to the north of the post office. If the distance of the market from the post office is equal to the distance of my house from the school, then in which direction is the market with respect to my school?

Detailed Solution for Business Mathematics Mock Test - 3 - Question 24

Business Mathematics Mock Test - 3 - Question 25

Directions: Read the given information carefully and answer the question given beside: 


Eight people Aarush, Bindu, Chunnu, Divya, Etti, Prithvi, Gopal and Harish live in an eight storey building, but not necessarily in the same order. The lowermost floor is numbered 1 and the topmost floor is numbered 8. 
Aarush lives on an even-numbered floor but not on the floor numbered second or fourth. Only three floors are there between Aarush and Bindu. Only two people live between Chunnu and Etti. Prithvi lives on a floor above Divya. There are equal numbers of floors between the floors on which Etti and Bindu live and between the floors on which Aarush and Etti live. Harish lives immediately below Divya’s floor. Gopal lives immediately below Aarush’s floor.

Q. Prithvi lives on which of the following floors?

Detailed Solution for Business Mathematics Mock Test - 3 - Question 25

Business Mathematics Mock Test - 3 - Question 26

If South-East becomes North, North-East becomes West and so on. What will West become?

Detailed Solution for Business Mathematics Mock Test - 3 - Question 26

Business Mathematics Mock Test - 3 - Question 27

Solve x2+8x-65>0

Detailed Solution for Business Mathematics Mock Test - 3 - Question 27

x2+8x-65>0 ∴x2+13x – 5x – 65>0
∴(x+13)(x-5)>0.
Hence, x>-13 and x>5 (Case I)
or x<-13 and x<5 (Case II)
∴x>5 or x<-13

Business Mathematics Mock Test - 3 - Question 28

If the function f(x) = 2x3 - 9ax2 + 12a2 x + 1, where a> 0, attains its maximum and minimum at p and q respectively such that p2 = q, then a equals

Detailed Solution for Business Mathematics Mock Test - 3 - Question 28

Business Mathematics Mock Test - 3 - Question 29

Seven cities - A, B, C, D, E, F and G are connected as follows. The cities which are connected by one way route are as follows. A to D, C to B, G to C, F to E, E to B, A to F , D to C and A to G. The cities which are connected by two way routes are as follows. C and E; G and F; D and G.
If a person, who has to reach city B, stared his Journey from city F touching the maximum possible number of cities exactly once, then which city he cannot touch? 

Detailed Solution for Business Mathematics Mock Test - 3 - Question 29

Business Mathematics Mock Test - 3 - Question 30

A man walks 5 km toward south and then turns to the right. After walking 3 km he turns to the left and walks 5 km. Now in which direction is he from the starting place?

Detailed Solution for Business Mathematics Mock Test - 3 - Question 30

Business Mathematics Mock Test - 3 - Question 31

The numbers 14, 16, 35, 42 are not in proportion. the fourth term for which they will be in proportion is for which they will be in proportion is : 

Detailed Solution for Business Mathematics Mock Test - 3 - Question 31

Business Mathematics Mock Test - 3 - Question 32

Which of the following values of x satisfy the inequality 

Detailed Solution for Business Mathematics Mock Test - 3 - Question 32

Business Mathematics Mock Test - 3 - Question 33

The order and degree of the differential equation 

Detailed Solution for Business Mathematics Mock Test - 3 - Question 33

Business Mathematics Mock Test - 3 - Question 34

The annual gathering of a college was organised on a day. Six different programmes - drama , singing , mimicry ,speech , story -telling and dance are to be performed by six student A , B , C , D , E , and F , not necessarily in the same order . the programme begins with a song not sung by B and ends with a dance. C performs mimicry immediately after the speech .E performs drama just before the dance. D or F are not available for the last performance. The speech is not given by A. An interval of 30 minutes is given immediately after mimicry with three more items remaining to be performed. D performs immediately after the interval .

Q. who performed the dance ?

Business Mathematics Mock Test - 3 - Question 35

Solve 6x2-x-35<0

Detailed Solution for Business Mathematics Mock Test - 3 - Question 35

Business Mathematics Mock Test - 3 - Question 36

Detailed Solution for Business Mathematics Mock Test - 3 - Question 36

Business Mathematics Mock Test - 3 - Question 37

If x2+9x-112<0; then 

Detailed Solution for Business Mathematics Mock Test - 3 - Question 37

Business Mathematics Mock Test - 3 - Question 38

If f: R→R and g: R→R are give by f(x) = |x| and g(x) = [x], then g(f(x)) ≤ f(g(x) is true for -

Detailed Solution for Business Mathematics Mock Test - 3 - Question 38

g(f(x))≤f(g(x))⇒g(|x|)≤f[x]⇒[|x|]≤|[x]|
This is true for xϵR..

Business Mathematics Mock Test - 3 - Question 39

If α, β are non real numbers satisfying x3 - 1 = 0 them the value of  is equal to

Detailed Solution for Business Mathematics Mock Test - 3 - Question 39


Business Mathematics Mock Test - 3 - Question 40

Detailed Solution for Business Mathematics Mock Test - 3 - Question 40


Business Mathematics Mock Test - 3 - Question 41

Detailed Solution for Business Mathematics Mock Test - 3 - Question 41

f is continuous at ‘0’ and f' (0-) >0 and f' ( 0 +) < 0 . Thus f has a local maximum at ‘0’.

Business Mathematics Mock Test - 3 - Question 42

240, ... 120, 40, 10, 2

Detailed Solution for Business Mathematics Mock Test - 3 - Question 42

Ratios of two consecutive terms are 1, 1/2, 1/3, 1/4, and 1/5 respectively.

Business Mathematics Mock Test - 3 - Question 43

8, 15, 28, 53, .....?

Detailed Solution for Business Mathematics Mock Test - 3 - Question 43

8 x 2 - 1 = 15, 15 x 2 -2 = 28, 28 x 2 - 3 = 53, 53 x 2 - 4 = 102

Business Mathematics Mock Test - 3 - Question 44

1 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 - 3 - Question 44

Business Mathematics Mock Test - 3 - Question 45

If the equation x2-(p+4)x+2p+5=0 has equal roots, then: p=

Detailed Solution for Business Mathematics Mock Test - 3 - Question 45

x2-(p+4)x+2p+5=0
∴a=1,b=-(p+4),c=2p+5.: roots are equal
∴b2-4ac=0
∴[-(p+4)]2-4(1)(2p+5)=0
∴(p+4)2-8p-20=0
∴p2+8p+16-8p-20=0
∴p2-4=0
∴p2=4
∴p=±2

Business Mathematics Mock Test - 3 - Question 46

If sin 2x = 1, then equals

Detailed Solution for Business Mathematics Mock Test - 3 - Question 46


Business Mathematics Mock Test - 3 - Question 47

Ramu walks 5kms starting from her house towards west then turns right and walks 3km. Thereafter she takes left turn and walks 2km. Further, she turn left and walks 3km. Finally, she turns right and walks 3kms. in what direction she is now from her house?

Detailed Solution for Business Mathematics Mock Test - 3 - Question 47

It's clear from the diagram Ramu is West of his house

Business Mathematics Mock Test - 3 - Question 48

198, 194, 185, 169, ?

Detailed Solution for Business Mathematics Mock Test - 3 - Question 48

Business Mathematics Mock Test - 3 - Question 49

One morning Udai and Vishal were talking to each other face to face at a crossing. If Vishal's shadow was exactly to the left of Udai, which direction was Udai facing?

Detailed Solution for Business Mathematics Mock Test - 3 - Question 49

Business Mathematics Mock Test - 3 - Question 50

 If -2 < x < 7 and 3 < y < 5, then which of the following is true?

Detailed Solution for Business Mathematics Mock Test - 3 - Question 50

-2<x<7 and 3<y<5. Hence, -4<2x<14-15<-3y<-9. Since the second inequality is multiplied by -3, the inequality changes.
Adding both the inequalities, we get, -19<(2x-3y)<5. Note that 2x-3y is calculated first because it is present in 2 options.
This makes the process of elimination faster.

Business Mathematics Mock Test - 3 - Question 51

The order of the differential equation of all tangent lines to the parabola y=x2 is 

Detailed Solution for Business Mathematics Mock Test - 3 - Question 51


Business Mathematics Mock Test - 3 - Question 52

Find the range of ab/c if 1<a<3, 0<b<2 and -2<c<-1.

Detailed Solution for Business Mathematics Mock Test - 3 - Question 52

Since both a and b are positive, mulitplying them keeps the sense of the inequality as it is.
∴0<ab<6. As c is negative, dividing by c reverses the sense of the inequality.
∴-6<(ab/c)<0

Business Mathematics Mock Test - 3 - Question 53

The derivative of sin-1 ( 2x/1+x2 ) with respect to tan -1 ( 2x/ 1-x2 )

Detailed Solution for Business Mathematics Mock Test - 3 - Question 53


Business Mathematics Mock Test - 3 - Question 54

The order and degree of the differential equation 

Detailed Solution for Business Mathematics Mock Test - 3 - Question 54

Here power on the differential coefficient is fractional, therefore change it into positive integer, so

Hence order is 2 and degree is 3.

Business Mathematics Mock Test - 3 - Question 55

Y is in the East of X which is in the North of Z. If P is in the South of Z, then in which direction of Y, is P?

Detailed Solution for Business Mathematics Mock Test - 3 - Question 55

Business Mathematics Mock Test - 3 - Question 56

The annual gathering of a college was organised on a day. Six different programmes - drama , singing , mimicry ,speech , story -telling and dance are to be performed by six student A , B , C , D , E , and F , not necessarily in the same order. the programme begins with a song not sung by B and ends with a dance. C performs mimicry immediately after the speech .E performs drama just before the dance. D or F are not available for the last performance. The speech is not given by A. An interval of 30 minutes is given immediately after mimicry with three more items remaining to be performed . D performs immediately after the interval.

Q. Who was the first performer ?

Detailed Solution for Business Mathematics Mock Test - 3 - Question 56

Again could be A or B. Hence, data inadequate. Options (d) is correct.

Business Mathematics Mock Test - 3 - Question 57

Solve 4x+5>5x-13  

Detailed Solution for Business Mathematics Mock Test - 3 - Question 57

4x+5>5x-13
∴4x-5x>-13-5
∴-x>-18
∴x<18 Note that since we are multiplying by -1 on both sides, the inequality sign changes.

Business Mathematics Mock Test - 3 - Question 58

If f: R →R, g: R →R and h: R →R are such that f(x) = x2, g(x) = tan x and h(x) = log x, then the value of (ho (gof )) (x) if  will be

Detailed Solution for Business Mathematics Mock Test - 3 - Question 58


Business Mathematics Mock Test - 3 - Question 59

If sin (x + y) = loge (x + y), then dy/dx is equal to 

Detailed Solution for Business Mathematics Mock Test - 3 - Question 59


Business Mathematics Mock Test - 3 - Question 60

The annual gathering of a college was organised on a day. Six different programmes - drama , singing , mimicry ,speech , story -telling and dance are to be performed by six student A , B , C , D , E , and F , not necessarily in the same order. the programme begins with a song not sung by B and ends with a dance. C performs mimicry immediately after the speech .E performs drama just before the dance. D or F are not available for the last performance. The speech is not given by A. An interval of 30 minutes is given immediately after mimicry with three more items remaining to be performed. D performs immediately after the interval. 

Q. Who was the last performer ?

Detailed Solution for Business Mathematics Mock Test - 3 - Question 60

Again could be A or B. Hence, data inadequate. Options (d) is correct.

Business Mathematics Mock Test - 3 - Question 61

How often is the Census of India carried out?

Detailed Solution for Business Mathematics Mock Test - 3 - Question 61

Census of India is carried out once every 10 years.

Business Mathematics Mock Test - 3 - Question 62

Which type(s) of presentation would you opt to present the annual expenditures of a company?

Detailed Solution for Business Mathematics Mock Test - 3 - Question 62

If textual was used, one has to go through the entire text for comprehension. In order to present data such as a company's annual expenditures/sales, one can use either diagrammatic presentation as it saves a lot of time and can be easily interpreted.

Business Mathematics Mock Test - 3 - Question 63

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 - 3 - Question 63

Business Mathematics Mock Test - 3 - Question 64

Find the modal class of the following distribution.

Detailed Solution for Business Mathematics Mock Test - 3 - Question 64

The grouping and analysis table for the distribution is given below.

From the analysis table, the class 500-600 has the maximum score. Hence, 500 - 600 is the modal class.

Business Mathematics Mock Test - 3 - Question 65

Sales of cement manufacturing companies is

Detailed Solution for Business Mathematics Mock Test - 3 - Question 65

Sales of cement manufacturing companies is an example of continuous variable because sales can be represent in the continuous variable form like 102.26, 142.14, etc. and continuous variate is capable to assume all the values in the given range.

Business Mathematics Mock Test - 3 - Question 66

Identify the type of classification of the below table.

{{}}

Detailed Solution for Business Mathematics Mock Test - 3 - Question 66

Since the given distribution is classified on the basis of number of hours (of labour), this is a quantitative classification.

Business Mathematics Mock Test - 3 - Question 67

For which of the following sets of data is the mode and the median the same?

Detailed Solution for Business Mathematics Mock Test - 3 - Question 67

Arrange the data in the ascending order.
A) 1, 1, 2, 3, 5, 7, 7, 7, 8, 10
B) 1, 2, 2, 2, 3, 3, 4, 5, 6, 9
C) 0, 1, 1, 2, 2, 2, 3, 7, 7, 9
D) 2, 3, 5, 5, 6, 7, 7, 7, 8, 8
It can be seen that for option C, the median, as well as the mode, is 2.

Business Mathematics Mock Test - 3 - Question 68

What is the root cause of all economic problems?

Detailed Solution for Business Mathematics Mock Test - 3 - Question 68

Limited resources and unlimited human wants lead to scarcity. This is the root of all economic problems.

Business Mathematics Mock Test - 3 - Question 69

Identify the type of classification of the below table.

Business Mathematics Mock Test - 3 - Question 70

In case of earthquake the best method is to collect data is

Detailed Solution for Business Mathematics Mock Test - 3 - Question 70

Personal interview is better option because coming in contact with the individual is more reliable.

Business Mathematics Mock Test - 3 - Question 71

Numerical data is referred to as

Detailed Solution for Business Mathematics Mock Test - 3 - Question 71

Numerical data refers to as variate because the numerical characteristic is termed as variate. It is also a quantitative characteristic.

Business Mathematics Mock Test - 3 - Question 72

For a distribution,
∑FX=5x+2, ∑F=12

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

Detailed Solution for Business Mathematics Mock Test - 3 - Question 72

Mean=∑FX/∑F
⇒5x+2/12=6
⇒x=14

Business Mathematics Mock Test - 3 - Question 73

The measures used to mitigate or solve economic problems are known as ___ .

Detailed Solution for Business Mathematics Mock Test - 3 - Question 73

The measures used to mitigate or solve economic problems are known as policies.

Business Mathematics Mock Test - 3 - Question 74

The heights of six students in a class are 169 cm, 172 cm, 178 cm, 170 cm, 166 cm and 174 cm. Find the standard deviation of heights using the assumed mean method.

Detailed Solution for Business Mathematics Mock Test - 3 - Question 74

Let 170 be the assumed mean (A)

Business Mathematics Mock Test - 3 - Question 75

The co-efficient of M.D. from median for the following set 150, 151, 152, 156, 154, 160, 158 is

Detailed Solution for Business Mathematics Mock Test - 3 - Question 75

Business Mathematics Mock Test - 3 - Question 76

Which of the following is not an example of production?

Detailed Solution for Business Mathematics Mock Test - 3 - Question 76

A travel agent booking tickets is involved in distribution. Everything else are examples of production.

Business Mathematics Mock Test - 3 - Question 77

Calculate the mean of the following data.

Detailed Solution for Business Mathematics Mock Test - 3 - Question 77


Business Mathematics Mock Test - 3 - Question 78

Steven Gerrard, arguably one of the most consistent and skilled players in the English premier league was given the following monthly ratings by a football website for the past 40 months.
 

Q. Calculate how his rating is deviating from his average performance in terms of mean deviation about mean.

Detailed Solution for Business Mathematics Mock Test - 3 - Question 78

Business Mathematics Mock Test - 3 - Question 79

The class mark of the C.I.'s 10-19, 20-29, 30-39 are

Detailed Solution for Business Mathematics Mock Test - 3 - Question 79

Class-mark =LCL+UCL/2=10+19/2=14.5 Same for other 
class interval so the answer is 14.5,24.5,34.5.

Business Mathematics Mock Test - 3 - Question 80

The mean of the following distribution is
 

Detailed Solution for Business Mathematics Mock Test - 3 - Question 80

Business Mathematics Mock Test - 3 - Question 81

(A) Primary data(B) Secondary data(C) 

Detailed Solution for Business Mathematics Mock Test - 3 - Question 81

Report on an epidemic from WHO is secondary data because the report received is not originally collected by the WHO.

Business Mathematics Mock Test - 3 - Question 82

AM = 10 & GM = 8. Therefore the 2 observations are

Detailed Solution for Business Mathematics Mock Test - 3 - Question 82

Let the two numbers be x & y. A.M=10 
∴x+y2=10 
∴x+y=20...(i) G.M=8 ∴√xy=8
∴xy=64...(ii) See the option & use trail and correct method.
Option C is the correct answer

Business Mathematics Mock Test - 3 - Question 83

Observe the scatter plot and identify the type of correlation.

Business Mathematics Mock Test - 3 - Question 84

Candidate appearing at the F.Y.commerce Examination can offer English at either the higher level or at the lower level. They have to offer Elements of Government or Mathematics as an option subject. Out of 1000 candidate from college A, 50% have offered English at the higher level, 80% of the candidate with English at the lower level have offered Mathematics while the different between number of candidate offering Mathematics and offering Elements of Government in the entire college is 600. In college B from, from which 1500 candidates have appeared equal numbers, have offered elements of Government and Mathematics. The number of candidate with the combination English at the higher level and Mathematics is 200 which are 25% of the number offering English at the lower level.

Q. Find the number of students opting for English higher level and elements of governments.

Detailed Solution for Business Mathematics Mock Test - 3 - Question 84

Total No. of candidates = 1000
and 50 % has opted English at higher level
Therefore, No. of students for English
= 1000 - 50 % of 1000 
= 500.

Business Mathematics Mock Test - 3 - Question 85

Problem of choice arises when there are _____ .

Detailed Solution for Business Mathematics Mock Test - 3 - Question 85

The problem of choices arises when there are multiple alternatives and limited resources. In this case, a choice between one or the other has to be made.

Business Mathematics Mock Test - 3 - Question 86

Which of these comes under the study of production?

Detailed Solution for Business Mathematics Mock Test - 3 - Question 86

Production deals with the choice of produce, given costs and prices when the resources are limited.

Business Mathematics Mock Test - 3 - Question 87

Which method of data collection does not allow for the clarification of ambiguous questions?

Detailed Solution for Business Mathematics Mock Test - 3 - Question 87

In the mailing questionnaire method, since there is no verbal communication between the responder and the enumerator, ambiguous questions cannot be clarified. 

Business Mathematics Mock Test - 3 - Question 88

Statistical calculations in classified data are based on

Detailed Solution for Business Mathematics Mock Test - 3 - Question 88

The items in classified data cannot be exactly measured. Hence, class midpoints are calculated.

Business Mathematics Mock Test - 3 - Question 89

Less than ogive is a

Detailed Solution for Business Mathematics Mock Test - 3 - Question 89

For less than ogive, the less than cumulative frequencies are plotted against the upper class boundaries of that class. Here, frequencies are added starting from the upper limit of the 1st class interval of the frequency distribution. The cumulative total tends to increase or remain the same. Hence, less than ogive is a non-decreasing graph.

Business Mathematics Mock Test - 3 - Question 90

Find the range of the following data

Detailed Solution for Business Mathematics Mock Test - 3 - Question 90

Range is the difference between the largest and the smallest observation.
Range=34−(−10)=44

Business Mathematics Mock Test - 3 - Question 91

The method of presentation least used by Statistician is

Detailed Solution for Business Mathematics Mock Test - 3 - Question 91

The method of presentation least used by Statistician is textual as per the statistical law.

Business Mathematics Mock Test - 3 - Question 92

The intersection point of less than ogive and more than ogive gives the ___ of a frequency distribution.

Detailed Solution for Business Mathematics Mock Test - 3 - Question 92

The intersection of less than and more than ogives is the median of the corresponding frequency distribution.

Business Mathematics Mock Test - 3 - Question 93

Graphical representation of frequency distribution is done with

Detailed Solution for Business Mathematics Mock Test - 3 - Question 93

Histogram means a graphical presentation of the data in which the continuous class interval. The class frequencies are represented by vertical adjacent rectangles.

Business Mathematics Mock Test - 3 - Question 94

(I) The SENSEX is a free-float market-weighted stock market of 30 well established and financially sound companies listed on Bombay stock exchange.
(II) The NIFTY 50 is NSE’s benchmark broad based stock market index for the Indian equity market. It represents the simple average of 50 Indian company stocks in 12 sectors.

Detailed Solution for Business Mathematics Mock Test - 3 - Question 94

SENSEX and NIFTY 50 are the weighted average stock markets of 30 and 50 blue chip stocks respectively.

Business Mathematics Mock Test - 3 - Question 95

In case Quartiles the number of points of division are

Detailed Solution for Business Mathematics Mock Test - 3 - Question 95

Business Mathematics Mock Test - 3 - Question 96

Which data can be used to plot an arithmetic line graph?

Detailed Solution for Business Mathematics Mock Test - 3 - Question 96

 A continuous arithmetic line graph can be plotted only when the data is continuous.

Business Mathematics Mock Test - 3 - Question 97

The mark distribution of 40 students in an exam is shown below. Find the standard deviation of the distribution.

Detailed Solution for Business Mathematics Mock Test - 3 - Question 97

Business Mathematics Mock Test - 3 - Question 98

Horizontal bar diagram is used for

Detailed Solution for Business Mathematics Mock Test - 3 - Question 98

Horizontal bar diagram is used for presentation of qualitative data and data varying over space as the meaning says.

Business Mathematics Mock Test - 3 - Question 99

In which of the following modes of data collection is the possibility of influencing the responder the most?

Detailed Solution for Business Mathematics Mock Test - 3 - Question 99

The possibility of influencing the responder is most in the 'personal interview' mode because there is direct personal interaction involved.

Business Mathematics Mock Test - 3 - Question 100

Which of the following expressions is used to determine the mode?

Detailed Solution for Business Mathematics Mock Test - 3 - Question 100

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