UPKAR PRAKASHAN, AGRA-2

By

JAIN & KISHORE

2016

Objective Type Questions

Revised & Enlarged Edition

© Publishers

Publishers

UPKAR PRAKASHAN(An ISO 9001 : 2000 Company)

2/11A, Swadeshi Bima Nagar, AGRA–282 002Phone : 4053333, 2530966, 2531101Fax : (0562) 4053330, 4031570E-mail : care@upkar.in, Website : www.upkar.in

Branch Offices :4845, Ansari Road, Daryaganj,New Delhi—110 002Phone : 011–23251844/66

Pirmohani Chowk,Kadamkuan,Patna—800 003Phone : 0612–2673340

1-8-1/B, R.R. Complex (Near SundaraiahPark, Adjacent to Manasa Enclave Gate),Bagh Lingampally,Hyderabad—500 044 (A.P.)Phone : 040–66753330

28, Chowdhury Lane, ShyamBazar, Near Metro Station,Gate No. 4Kolkata—700004 (W.B.)Phone : 033–25551510

B-33, Blunt Square, KanpurTaxi Stand Lane, Mawaiya,Lucknow—226 004 (U.P.)Phone : 0522–4109080

● The publishers have taken all possible precautions in publishing this book, yet ifany mistake has crept in, the publishers shall not be responsible for the same.

● This book or any part thereof may not be reproduced in any form byPhotographic, Mechanical, or any other method, for any use, without writtenpermission from the Publishers.

● Only the courts at Agra shall have the jurisdiction for any legal dispute.

ISBN : 978-81-7482-178-2

Price : 340/-(Rs. Three Hundred Forty Only)

Code No. 305

Printed at : UPKAR PRAKASHAN (Printing Unit) Bye-pass, AGRA

Contents

● Previous Years’ Solved Papers

Section-IGeneral English……………………………………………………………….… 1–88

1. Common Errors………………………………………………………...…… 2

2. Antonyms…………………………………………………………………… 35

3. Synonyms…………………………………………………………………… 41

4. Sentence Completion……………………………………………………..… 48

5. One Word Substitution……………………………………………………… 58

6. Comprehension…………………………………………………………….. 62

7. Passage Completion………………………………………………………… 77

8. Completion of Paragraphs and Sentences…………………………...……… 81

Section-II

General Knowledge…………………………………………………………..… ⎩⎨⎧1–481–32

Section-IIIElementary Mathematics………………………………………………..…… 1–168

1. Numbers………………………………………………………………..… 3–9

2. Square Root………………………………………………………….…… 10–12

3. Unitary Method…………………………………………………………... 13–17

4. Work and Time…………………………………………………………... 18–22

5. Time and Distance……………………………………………………….. 23–30

6. Percentage………………………………………………………………… 31–34

7. Simple Interest…………………………………………………………… 35–39

8. Compound Interest……………………………………………………..… 40–45

9. Profit and Loss…………………………………………………………… 46–54

10. Ratio and Proportion……………………………………………………… 55–61

11. Variation………………………………………………………….……… 62–65

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12. Partnership……………………………………………………...………… 66–68

13. Average…………………………………………………………………… 69–72

14. H. C. F. and L. C. M.……………………………………………...……… 73–76

15. Logarithms and their Use………………………………………...……… 77–80

16. Area……………………………………………………………….……… 81–84

17. Cuboid and Cube………………………………………………………… 85–87

18. Cylinder…………………………………………………………………… 88–90

19. Cone…………………………………………………………………….… 91–94

20. Sphere……………………………………………………………..……… 95–97

21. Factorisation and Remainder Theorem ………………………………..… 98–100

22. H. C. F. and L. C. M. of Polynomials…………………………….……… 101–102

23. Equations…………………………………………………………….…… 103–106

24. Roots of a Quadratic Equation…………………………………………… 107–110

25. Set Language and Notations……………………………………………… 111–113

26. Laws of Indices…………………………………………………………… 114–116

27. Lines and Angles……………………………………………………….… 117–120

28. Triangles…………………………………………………………..……… 121–126

29. Quadrilaterals…………………………………………………………..… 127–131

30. Circle……………………………………………………………………… 132–136

31. Loci…………………………………………………………………..…… 137–139

32. Trigonometry…………………………………………………………...… 140–146

33. Simple Identities………………………………………………………..… 147–151

34. Use of Trigonometric Table……………………………………………… 152–153

35. Height and Distance……………………………………………………… 154–159

36. Collection and Tabulation……………………………………………...… 160–161

37. Graphical Representation………………………………………………… 162–162

38. Calculation of Mean……………………………………………………… 163–168

General Information

● CONDITIONS OF ELIGIBILITY

(a) Nationality : A candidate must either be :(i) a Citizen of India, or(ii) a subject of Bhutan, or(iii) a subject of Nepal, or(iv) a Tibetan refugee who came over to

India before the 1st January, 1962 withthe intentiobia, n of permanently settlingin India, or

(v) a person of Indian origin who hasmigrated from Pakistan, Myanmar, SriLanka and East African Countries ofKenya, Uganda, the United Republic ofTanzania, Zambia, Malawi, Zaire andEthiopia and Vietnam with the intentionof permanently settling in India.

Provided that a candidate belonging tocategories (ii), (iii), (iv) and (v) above shall bea person in whose favour a certificate ofeligibility has been issued by the Governmentof India.

Certificate of eligibility will, however,not be necessary in the case of candidateswho are Gorkha subjects of Nepal.

A candidate in whose case a certificate ofeligibility is necessary, may be admitted tothe examination provisionally subject to thenecessary certificate being given to him bythe Govt. before declaration of result byUPSC.

(b) Age Limits, Sex and Marital Status :

(i) For IMA—Unmarried male candidatesborn not earlier than 2nd July, 1992 andnot later than 1st July, 1997 only areeligible.

(ii) For Indian Naval Academy—Unmar-ried male candidates born not earlier

than 2nd July, 1992 and not later than1st July, 1997 only are eligible.

(iii) For Air Force Academy—Age : 20 to 24 years as on 1st July, 2016i.e., born not earlier than 02 July, 1992and not later than 01 July, 1996 (Upperage limit for candidates holding validand current Commercial Pilot Licenceissued by DGCA (India) is relaxableupto 26 years i.e., born not earlier than02 July, 1990 and not later than 01 July,1996) only are eligible.

Note : Candidate below 25 years of agemust be unmarried. Marriage is notpermitted during training. Marriedcandidates above 25 years of age areeligible to apply but during trainingperiod they will neither be providedmarried accommodation nor can theylive out with family.

(iv) For Officers’ Training Academy (SSCCourse for Men)—Male candidates(married or unmarried) born not earlierthan 2nd July, 1991 and not later than1st July, 1997 only are eligible.

(v) For Officers’ Training Academy (SSCWomen Non-Technical Course)—Unmarried women, issueless widowswho have not remarried and issuelessdivorcees (in possession of divorcedocuments) who have not remarried areeligible. They should have been bornnot earlier than 2nd July, 1991 and notlater than 1st July, 1997.

(c) Educational Qualifications :(i) For I.M.A. and Officers’ Training

Academy—Degree of a recognisedUniversity or equivalent.

( vi )

(ii) For Indian Naval Academy—Degreein Engineering from a recognizedUniversity/Institution.

(iii) For Air Force Academy—Degree of arecognised University (with Physics andMathematics at 10 + 2 level) or Bachelorof Engineering.

Graduates with first choice as Army/Navy/Air Force are to submit proof ofgraduation provisional certificates on the dateof commencement of the SSB Interview at theSSB.

Candidates who are studying in the finalyear/semester Degree course and have yet topass the final year degree examination canalso apply provided candidate should nothave any present backlog upto the lastsemester/ year for which results have beendeclared upto the time of submission ofapplication and they will be required tosubmit proof of passing the degreeexamination at the time of SSB.

(d) Physical Standards :Candidates must be physically fit

according to physical standards for admissionto Combined Defence Services Examinationas per guidelines.

● SCHEME OF THE EXAMINATION1. The competitive examination comprises—

(a) Written examination as shown in para 2below :

(b) Interview for intelligence and personality testof such candidates as may be called forinterview at one of the Services SelectionCentres.2. The subjects of the written examination,

the time allowed and the maximum marks allottedto each subject will be as follows :

(a) For Admission to Indian MilitaryAcademy

Subject Duration Maximum Marks

1. English 2 Hours 1002. General Knowledge 2 Hours 1003. Elementary Mathematics 2 Hours 100

(b) For Admission to Indian Naval AcademySubject Time Maximum

Allowed Marks1. English 2 Hrs. 1002. General Knowledge 2 Hrs. 1003. Elementary Mathematics 2 Hrs. 100

(c) For Admission to Air Force Academy

Subject Duration MaximumMarks

1. English 2 Hours 1002. General Knowledge 2 Hours 1003. Elementary Mathematics 2 Hours 100

(d) For Admission to Officers’ TrainingAcademy

Subject Time MaximumAllowed Marks

1. English 2 Hours 100

2. General Knowledge 2 Hours 100

The maximum marks allotted to the writtenexamination and to the interviews will be equalfor each course, i.e., the maximum marks allottedto the written examination and to the interviewswill be 300, 300, 300 and 200 each for admissionto the Indian Military Academy, Indian NavalAcademy, Air Force Academy and Officers’Training Academy respectively.

3. THE PAPERS IN ALL THE SUBJECTSWILL CONSIST OF OBJECTIVE TYPEQUESTIONS ONLY. The question papers (TestBooklets) of General Knowledge and ElementaryMathematics will be set bilingually in Hindi aswell as English.

4. In the question papers, wherever necessary,questions involving the metric system of Weightsand Measures only will be set.

5. Candidates must write the papers in theirown hand. In no circumstances will they beallowed the help of a scribe to write answers forthem.

6. The Commission have discretion to fixqualifying marks in any or all the subjects of theexamination.

( vii )

7. The candidates are not permitted to usecalculator for answering objective type papers(Test Booklets). They should not, therefore, bringthe same inside the Examination Hall.

● STANDARD AND SYLLABUS OFTHE EXAMINATION

STANDARDThe standard of the papers in Elementary

Mathematics will be of Matriculation level.The standard of papers in other subjects will

approximately be such as may be expected of agraduate of an Indian University.

SYLLABUS

ENGLISH (Code No. 01)The question paper will be designed to test

the candidates’ understanding of English andworkman-like use of words.

GENERAL KNOWLEDGE (Code No. 02)General Knowledge including knowledge of

current events and of such matters of everydayobservation and experience in their scientificaspects as may be expected of an educated personwho has not made a special study of any scientificsubject. The paper will also include questions onHistory of India and Geography of a nature whichcandidates should be able to answer withoutspecial study.

ELEMENTARY MATHEMATICS(Code No. 03)

ArithmeticNumber System—Natural numbers, Integers,

Rational and Real numbers. Fundamental opera-tions—addition, subtraction, multiplication, divi-sion, Square roots, Decimal fractions.

Unitary Method—Time and distance, timeand work, percentages—applications to simple andcompound interest, profit and loss, ratio andproportion variation.

Elementary Number Theory—Divisionalgorithm. Prime and composite numbers. Tests ofdivisibility by 2, 3, 4, 5, 9 and 11 Multiples andfactors. Factorisation Theorem. H.C.F. and L.C.M.Euclidean Algorithm. Logarithms to base 10 lawsof logarithms, use of logarithmic tables.

Algebra

Basic Operations, Simple factors, RemainderTheorem, H.C.F., L.C.M. Theory of polynomials,solutions of quadratic equations, relation betweenits roots and coefficient (Only real roots to beconsidered). Simultaneous linear equations in twounknowns—analytical and graphical solutions.Simultaneous linear inequations in two variablesand their solutions. Practical problems leading totwo simultaneous linear equations or inequationsin two variables or quadratic equations in onevariable and their solutions. Set language and setnotation, Rational expressions and conditionalidentities Laws of indices.

Trigonometry

Sine x, Cosine x, Tangent x when 0° ≤ x ≤90°.

Values of sin x, cos x and tan x, for x = 0°,30°, 45°, 60° and 90°.

Simple trigonometric identities.

Use of trigonometric tables.

Simple cases of heights and distances.

GeometryLines and angles, Plane and plane figures,

Theorems on (i) Properties of angles at a point, (ii)Parallel lines, (iii) Sides and angles of a triangle,(iv) Congruency of triangles, (v) Similar triangles,(vi) Concurrence of medians and altitudes, (vii)Properties of angles, sides and diagonals of aparallelogram rectangle and square, (viii) Circlesand its properties including tangents and normals,(ix) Loci.

Mensuration

Areas of squares rectangles, parallelograms,triangle and circle. Areas of figures which can besplit up into these figures (Field Book), Surfacearea and volume of cuboids, lateral surface andvolume of right circular cones and cylinders,surface area and volume of spheres.

Statistics

Collection and tabulation of statistical data,Graphical representation, frequency polygons,histograms, bar charts, pie charts etc. Measures ofcentral tendency.

( viii )

INTELLIGENCE & PERSONALITYTEST

The SSB procedure consists of two stageSelection process-stage-I and stage-II. Only thosecandidates who clear the stage-I are permitted toappear for stage II. The details are :

(a) Stage-I comprises of Officer IntelligenceRating (OIR) tests are Picture Perception*Description Test (PP & DT). The candidateswill be shortlisted based on combination ofperformance in QIR Test and PP and DT.

(b) Stage-II comprises of Interview, GroupTesting Officer Tasks, Psychology Tests andthe Conference. These tests are conductedover 4 days. The details of these tests aregiven on the website www.joinindianarmy.nic.in.

The personality of candidate is assessed bythree different assessors viz. the InterviewingOfficer (IO), Group Testing Officer (GTO) andthe Psychologist. There are no separate weightagefor each test. The mks are allotted by assessorsonly after taking into consideration the perfor-mance of the candidate holistically in all the test.In addition, marks for Conference are also allottedbased on the initial performance of the Candidate

in the three techniques and decision of the Board.All these have equal weightage.

The various tests of IO, GTO and Psych aredesigned to bring out the presence/absence ofOfficer Like Qualities and their trainability in acandidate. Accordingly candidates are Recom-mended or Not Recommended at the SSB.

● CENTRES OF EXAMINATIONThe Examination will be held at the following

Centres :

Agartala Gangtok Panaji (Goa)Ahmedabad Hyderabad PatnaAizwal Imphal Port BlairAllahabad Itanagar RaipurBangalore Jaipur RanchiBareilly Jammu SambalpurBhopal Jorhat ShillongChandigarh Kochi ShimlaChennai Kohima Srinagar

Cuttack Kolkata Thiruvananthapuram

Dehradun Lucknow Tirupati

Delhi Madurai Udaipur

Dharwar Mumbai Vishakhapatnam

Dispur Nagpur

Combined Defence ServicesExam. Solved Paper

Combined Defence Services Examination

Publisher : Upkar Prakashan ISBN : 9788174821782 Author : Jain and Kishore

Type the URL : http://www.kopykitab.com/product/5254

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