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The document contains a series of questions and tables related to the percentage profit earned by two companies, A and B, from 2011 to 2015, as well as survey data on music preferences among different age groups. It includes multiple-choice questions that require calculations and interpretations based on the provided data. Additionally, there are questions related to general knowledge in various subjects including technology, environmental issues, and education.

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0% found this document useful (0 votes)
45 views7 pages

Solved Paper

The document contains a series of questions and tables related to the percentage profit earned by two companies, A and B, from 2011 to 2015, as well as survey data on music preferences among different age groups. It includes multiple-choice questions that require calculations and interpretations based on the provided data. Additionally, there are questions related to general knowledge in various subjects including technology, environmental issues, and education.

Uploaded by

gaurmeemansha
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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CBSE-UGC NET Paper 1

July 2016

The following table shows the percentage profit Number of people


(%) earned by two companies A and B during the
years 2011–15. Answer questions 1–3 based on the (Years) (Years) (Years) 31+
data contained in the table. Age 15–20 21–30
Style of
Profit earned by two companies music
Year Percentage profit (%) Classical 6 4 17
A B Pop 7 5 5
2011 20 30 Rock 6 12 14
2012 35 40 Jazz 1 4 11


2013 45 35 Blues 2 3 15
2014 40 50 Hip-Hop 9 3 4
2015 25 35 Ambient 2 2 2

Where per cent (%) Profit = 4. What percentage of respondents aged 31+ indicated a
favourite style other than classical music?
Income − Expenditure (a) 64% (b) 60%
×100 (c) 75% (d) 50%
Expenditure
5. Approximately what percentage of the total sample were
1. In which year, the percentage profit earned by company aged 21–30?
B is less than that of company A? (a) 31% (b) 23%
(a) 2012 (b) 2013 (c) 25% (d) 14%
(c) 2014 (d) 2015 6. Approximately what percentage of the total sample indi-
2. If the total expenditure of the two companies was `9 lakh cates that Hip-Hop is their favourite style of music?
in the year 2012 and the expenditure of A and B were in (a) 6% (b) 8%
the ratio 2 : 1, then what was the income of the company (c) 14% (d) 12%
A in that year? 7. The process of copying files to a CD-ROM is known as
(a) `9.2 lakh (b) `8.1 lakh (a) Burning (b) Zipping
(c) `7.2 lakh (d) `6.0 lakh (c) Digitising (d) Ripping
3. What is the average percentage profit earned by the 8. An unsolicited e-mail message sent to many recipients at
company B? once is a
(a) 35% (b) 42% (a) Worm (b) Virus
(c) 38% (d) 40% (c) Threat (d) Spam
9. The statement ‘the study, design, development, imple-
The following table shows the number of people mentation, support or management of computer-based
in different age groups who responded to a sur- information systems, particularly software applications
vey about their favourite style of music. Use this and computer Hardware’ refers to
information to answer the questions that follow. (a) Information Technology (IT)
(Question 4–6) to the nearest whole percentage: (b) Information and Collaborative Technology (ICT)
(c) Information and Data Technology (IDT)
(d) Artificial Intelligence (AI)
CBSE-UGC NET Paper 1 July 2016 P.49

10. If the binary equivalent of the decimal number 48 is 19. The National Judicial Appointments Commission
110000, then the binary equivalent of the decimal num- (NJAC) has been declared unconstitutional by
ber 51 is given by (a) The Supreme Court of India
(a) 110011 (b) 110010 (b) The High Court
(c) 110001 (d) 110100 (c) The High Court and the Supreme Court both
11. Identify the air pollutant in urban areas which irritates (d) The President of India
eyes and also respiratory tract of human beings. 20. Which of the following statement(s) about the Indian
(a) Particulate matter political system is/are correct?
(b) Oxides of nitrogen (A) The President is both Head of the State and Head of
(c) Surface ozone the Government.
(d) Carbon monoxide (B) Parliament is supreme.
12. Which of the following is the largest source of water (C) The Supreme Court is the guardian of the
pollution in major rivers of India? Constitution.
(a) Untreated sewage (D) The Directive Principles of State Policy are
(b) Agriculture run-off justiciable.
(c) Unregulated small scale industries Select the correct answer from the codes given below.
(d) Religious practices (a) (A), (B), (C) and (D) (b) (B), (C) and (D)
13. Sustainable development goals have specific targets to (c) (B) and (C) (d) (C) only
be achieved by 21. Which of the following are the fundamental duties?
(a) 2022 (b) 2030 (A) To respect the National Flag.
(c) 2040 (d) 2050 (B) To protect and improve the natural environment.
14. Indian government’s target of producing power from (C) For a parent to provide opportunities for education
biomass by the year 2022 is to his/her child.
(a) 50 GW (b) 25 GW (D) To protect monuments and places of national
(c) 15 GW (d) 10 GW importance.
15. Assertion (A): Conserving our soil resources is critical to Select the correct answer from the codes given below.
human survival. Codes:
Reason (R): Soil is home to many microorganisms and it (a) (A), (B) and (C) (b) (A), (B) and (D)
contains minerals. (c) (A), (C) and (D) (d) (A), (B), (C) and (D)
Choose the correct code from the following options. 22. Which of the following statements are correct in respect
(a) Both (A) and (R) are correct and (R) is the correct of NITI Aayog?
explanation of (A). (A) It is a constitutional body.
(b) Both (A) and (R) are correct but (R) is not the (B) It is a statutory body.
correct explanation of (A). (C) It is neither a constitutional body nor a statutory
(c) (A) is true and (R) is false. body.
(d) (A) is false and (R) is true. (D) It is a think-tank.
16. World Meteorological Organisation’s (WMO) objective Select the correct answer from the codes given below.
is to reduce the number of deaths due to hydro-meteor- (a) (A) and (D) (b) (B) and (D)
ological disasters over the decade 2010–2019 by (with (c) (C) and (D) (d) (B), (C) and (D)
reference to the decade 1994–2003) 23. Which of the following core values among the institu-
(a) 25% (b) 50% tions of higher education are promoted by the NAAC
(c) 75% (d) 80% (National Assessment and Accreditation Council)?
17. _________ is a type of memory circuitry that holds the (A) Contributing to national development.
computer’s start-up routine. (B) Fostering global competencies among the students.
(a) RIM (Read Initial Memory) (C) Inculcating a value system among students and
(b) RAM (Random Access Memory) teachers.
(c) ROM (Read Only Memory) (D) Promoting the optimum utilisation of the
(d) Cache Memory infrastructure.
18. An ASCII is a character-encoding scheme that is Select the correct answer from the codes given below.
employed by personal computers in order to represent Codes:
various characters, numbers and control keys that the (a) (B), (C) and (D) (b) (A), (B) and (C)
computer user selects on the keyboard. ASCII is an acro- (c) (A), (C) and (D) (d) (A), (B), (C) and (D)
nym for
24. The best way for providing value education is through
(a) American Standard Code for Information
(a) Discussions on scriptural texts.
Interchange.
(b) Lectures/discourses on values.
(b) American Standard Code for Intelligent Information.
(c) Seminars/symposia on values.
(c) American Standard Code for Information Integrity.
(d) Mentoring/reflective sessions on values.
(d) American Standard Code for Isolated Information.
P.50 CBSE-UGC NET Paper 1 July 2016

25. A college-level assistant professor has planned his/her levels of cognitive interchange and Set - II comprising of
lectures with an intent to develop cognitive dimensions basic requirements for promoting them. Match the two
of students centred on skills of analysis and synthesis. sets and indicate your answer by choosing the correct
Below, given are two sets of items, Set - I consisting of alternative from the codes given below.

Set - I Set - II
(Levels of cognitive interchange) (Basic requirements for promoting cognitive interchange)
A. Memory level I I. Giving opportunity for discriminating examples and non-examples of a point.
B. Understanding level I II. Recording the important points made during the presentations.
C. Reflective level 4 III. Asking the students to discuss various items of information.
IV. Critically analysing the points to be made and discussed.

Codes: Choose the correct code.


A B C Set - I Set - II
(a) II IV I A. Formative I. Evaluating cognitive
(b) III IV II evaluation
4 and co-cognitive aspects
with regularity.
(c) II I IV
(d) I II III B. Summative II. Tests and their
26. Which set of learner characteristics may be consid-
evaluation 3 interpretations based
on a group and certain
ered helpful in designing effective teaching–learning
systems? Select the correct alternative from the codes yardsticks.
given below. C. Continuous and III. Grading the final
(A) Prior experience of learners in respect of the subject.
(B) Interpersonal relationships of learner’s family
comprehensive
evaluation 1 learning outcomes.

friends.
(C) Ability of the learners in respect of the subject. D. Norm and IV. Quizzes and discussions.
criterion 2
(D) Student’s language background.
(E) Interest of students in following the prescribed dress referenced tests
code.
(F) Motivational-orientation of the students. Codes:
Codes: A B C D
(a) (A), (B), (C) and (D)
(b) (A), (C), (D) and (F) (a) IV III I II
(c) (B), (C), (D) and (E) (b) I II III IV
(d) (C), (D), (E) and (F)
(c) III IV II I
27. Assertion (A): The purpose of higher education is to
promote critical and creative thinking abilities among (d) I III IV II
students.
29. Select the alternative which consists of positive factors
Reason (R): These abilities ensure job placements. contributing to effectiveness of teaching.
Choose the correct answer from the following code. List of factors:
(a) Both (A) and (R) are true and (R) is the correct
(A) Teacher’s knowledge of the subject.
explanation of (A).
(B) Teacher’s socio-economic background.
(b) Both (A) and (R) are true but (R) is not the correct
explanation of (A). (C) Communication skill of the teacher.
(c) (A) is true but (R) is false. (D) Teacher’s ability to please the students.
(d) (A) is false but (R) is true. (E) Teacher’s personal contact with students.
(F) Teacher’s competence in managing and monitoring
28. Match the items of the first set with that of the second set the classroom transactions.
in respect of evaluation system.
CBSE-UGC NET Paper 1 July 2016 P.51

Codes: (a) Historical method


(a) (B), (C) and (D) (b) Descriptive survey method
(b) (C), (D) and (F) (c) Experimental method
(c) (B), (D) and (E) (d) Ex-post-facto method
(d) (A), (C) and (F) 36. Which of the following is an initial mandatory require-
30. The use of teaching aids is justified on the grounds of ment for pursuing research?
(a) Attracting students’ attention in the classroom. (a) Developing a research design.
(b) Minimising indiscipline problems in the classroom. (b) Formulating a research question.
(c) Optimizing learning outcomes of students. (c) Deciding about the data analysis procedure.
(d) Effective engagement of students in learning tasks. (d) Formulating a research hypothesis.
31. The format of thesis writing is the same as in
(a) Preparation of a research paper/article. Read the following passage carefully and answer
(b) Writing of seminar presentation. question numbers from 37 to 42.
(c) A research dissertation. In terms of labour, for decades, the relatively low cost
(d) Presenting a workshop/conference paper. and high quality of Japanese workers conferred consid-
32. In qualitative research paradigm, which of the following erable competitive advantage across numerous durable
features may be considered critical? goods and consumer electronics industries (For exam-
(a) Data collection with standardised research tools. ple, machinery, automobiles, televisions, radios). Then
(b) Sampling design with probability sample techniques. labour-based advantages shifted to South Korea, then
(c) Data collection with bottom-up empirical evidences. to Malaysia, Mexico and other nations. Today, China
(d) Data gathering to take place with top-down system- appears to be capitalizing best on the basis of labour.
atic evidences. Japanese firms still remain competitive in markets for
33. From the following list of statements, identify the set such durable goods, electronics and other products,
which has negative implications for ‘research ethics’. but the labour force is no longer sufficient for competi-
(A) A researcher critically looks at the findings of tive advantage over manufacturers in other industri-
another research. alizing nations. Such shifting of labour-based advan-
(B) Related studies are cited without proper references.
(C) Research findings are made the basis for policy
tage is clearly not limited to manufacturing industries.
making. Today, a huge number of IT and service jobs are moving
(D) Conduct of practitioner is screened in terms of from Europe and North America to India, Singapore,
reported research evidences. and other countries with relatively well-educated, low-
(E) A research study is replicated with a view to verify cost workforces possessing technical skills. However,
the evidences from other researches. as educational levels and technical skills continue to
(F) Both policy making and policy implementing pro- rise in other countries, India, Singapore and other
cesses are regulated in terms of preliminary studies. nations enjoying labour-based competitive advan-
Codes: tage today are likely to find such advantage cannot be
(a) (A), (B) and (C) sustained through emergence of new competitors. In
(b) (B), (C) and (D) terms of capital, for centuries, the days of gold coins
(c) (B), (D) and (F) and later even paper money restricted financial flows.
(d) (A), (C) and (E)
Subsequently, regional concentrations were formed
34. In a research on the effect of child-rearing practices on where large banks, industries and markets coalesced.
stress-proneness of children in completing school pro- But today, capital flows internationally at rapid speed.
jects, the hypothesis formulated is that ‘child rearing
practices do influence stress-proneness’. At the data-
Global commerce no longer requires regional interac-
analysis stage, a null hypothesis is advanced to find out tions among business players. Regional capital concen-
the tenability of research hypothesis. On the basis of the trations in places, such as New York, London and Tokyo
evidence available, the null hypothesis is rejected at 0.01 still persist, of course, but the capital concentrated
level of significance. What decision may be warranted in there is no longer sufficient for competitive advantage
respect of the research hypothesis? over other capitalists distributed worldwide. Only if an
(a) The research hypothesis will also be rejected. organization is able to combine, integrate and apply
(b) The research hypothesis will be accepted. its resources (For example, land, labour, capital, IT)
(c) Both the research hypothesis and the null hypoth- in an effective manner that is not readily imitable by
esis will be rejected. competitors can such an organization enjoy competi-
(d) No decision can be taken in respect of the research
hypothesis.
tive advantage sustainable overtime. In a knowledge-
based theory of the firm, this idea is extended to view
35. A researcher intends to explore the effect of possible organizational knowledge as a resource with at least
factors for the organization of effective mid-day meal
interventions. Which research method will be most
the same level of power and importance as the tradi-
appropriate for this study? tional economic inputs. An organization with superior
P.52 CBSE-UGC NET Paper 1 July 2016

knowledge can achieve competitive advantage in mar- 44. The choice of communication partners is influenced by
kets that appreciate the application of such knowledge. factors of
Semiconductors, genetic engineering, pharmaceuti- (a) Proximity, utility and loneliness.
cals, software, military warfare and like knowledge- (b) Utility, secrecy and dissonance.
(c) Secrecy, dissonance and deception.
intensive competitive arenas provide both time-proven
(d) Dissimilarity, dissonance and deviance.
and current examples. Consider semiconductors (For
example, computer chips), which are made principally 45. As a teacher, select the best option to ensure your effec-
tive presence in the classroom.
of sand and common metals. These ubiquitous and
(a) Use of peer command.
powerful electronic devices are designed within com- (b) Making aggressive statements.
mon office buildings, using commercially available (c) Adoption of well-established posture.
tools and fabricated within factories in many industri- (d) Being authoritarian.
alized nations. Hence, land is not the key competitive 46. Every communicator has to experience
resource in the semiconductor industry. (a) Manipulated emotions.
Based on the passage answer the following (b) Anticipatory excitement.
(c) The issue of homophiles.
questions.
(d) Status dislocation.
37. How can an organization enjoy competitive advantage
47. Imagine you are working in an educational institution
sustainable overtime?
where people are of equal status. Which method of com-
(a) Through regional capital flows.
munication is best suited and normally employed in such
(b) Through regional interactions among business
a context?
players.
(a) Horizontal communication
(c) By making large banks, industries and markets
(b) Vertical communication
coalesced.
(c) Corporate communication
(d) By effective use of various instrumentalities.
(d) Cross communication
38. What is required to ensure competitive advantages in
48. Identify the important element a teacher has to take
specific markets?
cognizance of while addressing students in a classroom.
(a) Access to capital (b) Common office buildings
(a) Avoidance of proximity (b) Voice modulation
(c) Superior knowledge (d) Common metals
(c) Repetitive pause (d) Fixed posture
39. The passage also mentions about the trend of
49. Two railway tickets from city A to B and three tickets
(a) Global financial flow.
from city A to C cost `177. Three tickets from city A to B
(b) Absence of competition in manufacturing industry.
and two tickets from city A to C cost `173. The fare for
(c) Regionalization of capitalists.
city B from city A will be
(d) Organizational incompatibility.
(a) `25 (b) `27
40. What does the author lay stress on in the passage? (c) `30 (d) `33
(a) International commerce
50. A person walks 10 m in front and 10 m to the right. Then
(b) Labour-intensive industries
every time turning to his left, he walks 5, 15 and 15 m,
(c) Capital resource management
respectively. How far is he now from his starting point?
(d) Knowledge-driven competitive advantage
(a) 20 m (b) 15 m
41. Which country enjoyed competitive advantages in (c) 10 m (d) 5 m
automobile industry for decades?
51. A is the sister of B. F is the daughter of G. C is the mother
(a) South Korea (b) Japan
of B. D is the father of C. E is the mother of D. A is related
(c) Mexico (d) Malaysia
to D as
42. Why labour-based competitive advantages of India and (a) Granddaughter (b) Daughter
Singapore cannot be sustained in IT and service sectors? (c) Daughter-in-law (d) Sister
(a) Due to diminishing levels of skill.
52. In the series
(b) Due to capital-intensive technology making inroads.
(c) Because of new competitors. AB, EDC, FGHI, ...?...., OPQRST, the missing term is
(d) Because of shifting of labour-based advantage in (a) JKLMN (b) JMKNL
manufacturing industries. (c) NMLKJ (d) NMKLJ
43. What are the barriers to effective communication? 53. Among the following propositions two are related in
(a) Moralizing, being judgemental and comments of such a way that one is the denial of the other. Which are
consolation. those propositions? Select the correct code.
(b) Dialogue, summary and self-review. Propositions:
(c) Use of simple words, cool reaction and defensive (A) All women are equal to men.
attitude. (B) Some women are equal to men.
(d) Personal statements, eye contact and simple (C) Some women are not equal to men.
narration. (D) No women are equal to men.
CBSE-UGC NET Paper 1 July 2016 P.53

Codes: 58. Given below are two premises and four conclusions are
(a) (A) and (B) (b) (A) and (D) drawn from them (taking singly or together). Select the
(c) (C) and (D) (d) (A) and (C) code that states the conclusions validly drawn.
54. In certain code, SELECTION is coded as QCJCARGML. Premises:
The code of AMERICANS will be (I). All religious persons are emotional.
(a) YKCPGAYLQ (b) BNFSJDBMR (II). Ram is a religious person.
(c) QLYAGPCKY (d) YQKLCYPAG Conclusions:
55. In the series (A). Ram is emotional.
3, 11, 23, 39, 59, .... (B). All emotional people are religious.
The next term will be (C). Ram is not a non-religious person.
(a) 63 (b) 73 (D). Some religious people are not emotional.
(c) 83 (d) 93 Codes:
56. Select the option which is not correct about Venn (a) (A), (B), (C) and (D) (b) (A) only
diagram. (c) (A) and (C) only (d) (B) and (C) only
(a) Venn diagram represents propositions as well as 59. If the proposition ‘All thieves are poor’ is false, then
classes. which of the following propositions can be claimed cer-
(b) It can provide clear method of notation. tainly to be true?
(c) It can be either valid or invalid.
(d) It can provide the direct method of testing the Propositions:
validity. (a) Some thieves are poor.
(b) Some thieves are not poor.
57. Select the code which is not correct in the context of (c) No thief is poor.
deductive argument with two premises. (d) No poor person is a thief.
(a) An argument with one true premise, one false prem-
ise and a false conclusion may be valid. 60. Consider the following statement and select the correct
(b) An argument with two true premises and a false con- code stating the nature of the argument involved in it.
clusion may be valid. To assume that the earth is the only populated world
(c) An argument with one true premise, one false prem- in the infinite space is as absurd as to assert that in an
ise and a true conclusion may be valid. entire field of millet only one grain will grow.
(d) An argument with two false premises and a false (a) Astronomical (b) Anthropological
conclusion may be valid. (c) Deductive (d) Analogical

ANSWER KEYS
1. (b) 2. (b) 3. (c) 4. (c) 5. (c) 6. (d) 7. (a) 8. (d) 9. (a) 10. (a)
11. (c) 12. (a) 13. (b) 14. (d) 15. (b) 16. (b) 17. (c) 18. (a) 19. (a) 20. (d)
21. (a) 22. (c) 23. (b) 24. (d) 25. (c) 26. (b) 27. (b) 28. (a) 29. (d) 30. (c)
31. (c) 32. (c) 33. (c) 34. (b) 35. (d) 36. (b) 37. (d) 38. (c) 39. (a) 40. (d)
41. (b) 42. (c) 43. (a) 44. (a) 45. (c) 46. (b) 47. (a) 48. (b) 49. (d) 50. (d)
51. (a) 52. (c) 53. (d) 54. (a) 55. (c) 56. (c) 57. (b) 58. (c) 59. (b) 60. (d)

HINTS AND SOLUTIONS Here, we calculate this percentage on the basis of


assumption that expenditure figure is same for all years.
1. It is a question of simple observation. Otherwise, none of the choices is correct.
2. Total of radios = 2 + 1 = 3. 4. Required percentage
Expenditure of company A in 2012 5 + 14 + 11 + 15 + 4 + 2 51
= × 100 = × 100
2 17 + 5 + 14 + 11 + 15 + 4 + 2 68
= × 9 = `6 lakhs
3 51
= = 75%
Given that profit of company A in 2012 = 35% 68
Thus, 35 = [(Income of company A − 6)/6] × 100 5. Total sample size = 134
Solving, it we get that income of company A = Total of people between ages 21 ฀ 30 years = 33
`18.10 lakhs
33
3. Required percentage Required percentage = × 100 = 25%
134
30 + 40 + 35 + 50 + 35 190
= = = 38%
5 5
P.54 CBSE-UGC NET Paper 1 July 2016

Hip − Hop Total 50. 15 m


6. Required percentage = ×10
Grand total
16 5m
= × 100 = 12% (Approximately)
134
Starting 10 m 15 m
10. As we need binary code for 51, we can find binary code point
for 3 and add it to that for 48. 10 m
Binary for 48 = 110000 (Given)
2 3 1
5m
2 2 1
51. −E
0
Mother
So, binary for 3 = 011 +D +G
Binary for 51 = 110000 + 011
= 110011 Father
11. Refer Table 9.1 on page 9.10. Grand
12. The largest source of water pollution is major rivers in daughter −C −F
India with untreated sewage.
13. The SDGs came into effect in January 2016, and they will
continue guide UNDP policy and funding for the next 15
years. Also known as Global Goals, they are a universal
call to action to end poverty, protect the planet and ensure −A B
Sister
that all people enjoy peace and prosperity. Seventeen
SDGs build on the successes of the Millennium Develop- 52. The number of alphabets is increasing by 1 and are alter-
ment Goals, while including new areas such as climate natively being written in reverse order.
change, economic inequality, innovation, sustainable AB, EDC, FGHI, NMLKJ, OPQRST
consumption, peace, and justice, among other priorities.
53. First proposition: ‘All women are equal to men’ is given
14. India has renewable energy generation target of 175 GW among the answer choice. We can start with that.
by 2022. Of the target capacity, 100 GW would be from
solar power, 60 GW from wind, 10 GW from biomass and All women are equal to men also mean that ‘some
5 GW from small hydro power. women are equal to men’. It is based on the rules of syl-
logism, which means that what applies to all also applies
19. Refer page 10.42 to part of it. Now, the denial of it is ‘some women are not
20. President is the head of State and PM is the head of equal to men’. That is the third proposition.
Government. In Indian context, people of the country are 54.
sovereign, whereas the Constitution of India is supreme. S E L E C T I O N
Parliament is the supreme law making body. The Direc- ฀2 ฀2 ฀2 ฀2 ฀2 ฀2 ฀2 ฀2 ฀2
tive Principles of State Policy are not justiciable.
Q C J C A R G M L
21. Refer page 10.33
22. Refer page 10.46 Similarly,
23. Refer page 1.2–3
A M E R I C A N S
30. Refer page 1.22
฀2 ฀2 ฀2 ฀2 ฀2 ฀2 ฀2 ฀2 ฀2
31. Refer page 2.27
32. Refer page 2.2 and 2.9 Y K C P G A Y L Q
33. Refer page 2.32
55. +8, +12, +16, +20, +24 and so on.
35. Refer 2.5–6
43. Refer page 4.10 58. Emotional
47. Refer page 4.9
49. Let Railway fare from City A to City B = `x
And from City A to City C = ` y
According to question, we get: Religious
2x + 3y = 177 (i) Ram
3x + 2y = 173 (ii)
Solving Equations (i) and (ii), we get x = ` 33, which is
the required answer.

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