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SBI POs Prelims Model PaperQ UA N TITATIVE A PTITUDE
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Prepared by Nandyala Academy
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Ì‹Ú≥så˝ gÒ˝CC&2018øÊ˝$–ö˛ØÛ˛‘Ë˝”ΔäˇÃZ∞ Ú‹Ö{rÃå˝ CØå˛Ì‹tr*≈så˝ Bãú ¥ÎœÌ‹tMä¸fiCÖf±«ÖVä¸ AÖyä˛ sÒ˝M>≤Ài(Ì‹Ú≥så˝)2018 —ßë≈Á‹Ö–ö˛ô˲fiΔ>∞Mϸ G–˛$√Ô‹fi, GÖsÒ˝Mä¸ {¥˘{V>–ö˛$$ÃZœ {Á≥–Û˛‘ÈÀMʸ$ßÊ˛ΔÊˇRÍÁ‹$¢À$ M¯ΔÊˇ$ô¯Ö®.◆ G–˛$√Ô‹fi(–˛$sÓ˝«ƒÊ˝$Ãå˝ Ú‹OØå˛fi AÖyä˛ CÖf±«ÖVä¸)◆ G–˛$√Ô‹fi(¥ÎÕ–ö˛$Δäˇ Ú‹OØå˛)◆ GÖsÒ˝Mä¸(¥ÎœÌ‹tMä¸fi CÖf±«ÖVä¸)◆ GÖsÒ˝Mä¸(¥ÎÕ–ö˛$Δäˇ ØÈد sÒ˝M>≤Ài)AΔÊˇ·ô˲: CÖrΔäˇ, ΩGÔ‹fi, ΩD/ΩsÒ˝Mä¸/G–˛$√Ô‹fi E°¢ΔÊˇ~ô˲.GÖÌ≥Mʸ: gÍΔˇ$$Öså GÖ{rØå fi GV>j—$ØÛ ÁŸØå (gÒ CC) ßë”Δ>Δ>ô˲ Á≥»Ñʸ: lÃÒ˝O 1ßÊ˛ΔÊˇRÍÁ‹$¢ —´ßëØ˲Ö: BãúÃÒ˝OØå˛_–ö˛« ôÛ˛©: lØå˛ 18_ΔÊˇ$ØÈ–ö˛*: The Principal, CIPET:IPT, B-25,CNI Complex, Patia, P.O: KIIT,Bhubaneswar, Odisha - 751 024.–˛ªå˝Ú‹Oså˝: https://www.cipet.gov.in
AyÏ˛√ÁŸØå˛fi
1. Who won the 2018 Man BookerInternational Prize for Fiction for hernovel 'Flights?1) Olga Tokarczuk 2) David Grossman 3) Han Kang 4) Laszlo Krasznahorkai5) None of these
2. The re-elected President of Venezuela?1) Michel Temer 2) Mauricio Macri3) Sebastian Pinera 4) Nicolas Maduro5) None of these
3. The Union Cabinet has approved anordinance to set up the country's firstnational sports university in...1) Imphal 2) Shillong 3) Aizwal 4) Kohima 5) None of the above
4. The joint military exercise "SURYAKIRAN-XIII" between India and…1) Afghanistan 2) Nepal 3) Bangladesh4) Bhutan 5) None of these
5. Who is the new Chairman of PressCouncil of India (PCI)?1) Justice Chandramauli Kumar Prasad(C.K.Prasad) 2) K.Vijay Raghavan 3) Pradeep Kumar Sinha 4) Om Prakash Rawat 5) None of the above
6. The new Chief Minister of Karnataka?1) Vajubhai Vala 2) H. D. Kumaraswamy 3) G. Parameshwara 4) B.S.Yeddyurappa 5) Siddaramaiah
7. Mark Rutte visited India recently. He is…1) The Prime Minister of Britain2) The Prime Minister of France3) The Prime Minister of Netherlands4) The Prime Minister of Italy5) None of the above
8. With regard to Banking in India, whichone of the following events took place in1969?1) Establishment of SBI2) First phase of Nationalization of Banks3) Establishment of the first RegionalRural Bank4) Second phase of Nationalization ofBanks5) Establishment of NABARD
9. AB de Villiers has decided to retirefrom all forms of international cricketwith immediate effect. He hails fromwhich country?1) Australia 2) New Zealand 3) Britain 4) Zimbabwe 5) South Africa
10. The World Telecommunication andInformation Society Day is observed on…1) 17 May 2) 31 may 3) 5 June 4) 21 June 5) None of these
11. Manika Batra is associated with whichof the following games?1) Badminton 2) Chess 3) Table Tennis 4) Hockey 5) None of these
12. Nicolas Maduro is re-elected asPresident of …1) Argentina 2) Brazil 3) Chile 4) Venezuela 5) None of these
13. Which of the following companybecame the country's first company tohit the Rs 7 lakh crore market capitali-sation milestone?1) Reliance Industries 2) TCS 3) HDFC Bank 4) Aditya Birla Group 5) None of these
14. An outbreak of Nipah virus was report-ed in which of the following statesrecently?
1) Tamil Nadu 2) Karnataka 3) Bihar 4) Kerala 5) None of these
15. Which country unveils world's firstfloating nuclear power station recently?1) USA 2) Russia 3) China 4) Japan 5) None of the above
16. The Head Quarters of the InternationalTelecommunication Union(ITU) is in…1) Vienna, Austria 2) Rome, Italy 3) Paris, France 4) Brussels, Belgium 5) Geneva, Switzerland
17. Which state has been declared the bestperforming state, in this year's SwachhSurvekshan survey?1) Jharkhand 2) Maharashtra 3) Tamil Nadu 4) Andhra Pradesh 5) None of these
18. Which of the following is the CleanestState Capital, as per SwachhSurvekshan survey 2018?1) New Delhi 2) Greater Mumbai 3) Kolkata 4) Chennai 5) Bengaluru
19. Allahabad Bank is a nationalised bankwith its headquarters in …
1) New Delhi 2) Mumbai 3) Kolkata 4) Chennai 5) Allahabad
20. Who was elected unopposed to serve asecond term as the independent chair-man of the International CricketCouncil (ICC)?1) Shashank Manohar 2) Zaheer Abbas3) David Richardson 4) C.K.Khanna5) None of the above
21. Which country won Thomas Cup2018?1) China 2) Japan 3) Indonesia 4) Denmark 5) None of the above
22. Which country won Uber Cup 2018?1) Japan 2) Thailand 3) South Korea 4) China 5) None of the above
23. Thomas Cup and Uber Cup are associ-ated with1) Football 2) Cricket 3) Badminton 4) Hockey 5) None of these
24. Which country economy is the world'ssixth largest by nominal GDP and thirdlargest by purchasing powerparity(PPP)?1) China 2) Russia 3) Japan 4) India 5) None of these
25. Prime Minister Narendra Modi laidfoundation stone for first phase(2400MW) of NTPC's coal based PatratuSuper Thermal Power Project in…1) Jharkhand 2) Bihar 3) Gujarat 4) Haryana 5) Punjab
26. Prof. Ganeshi Lal is the new Governor of…1) Kerala 2) Assam 3) Odisha 4) Tamil Nadu 5) None of these
27. The Fifteenth Finance Commission hasconstituted high level group to exploreand give recommendations for a bal-
anced expansion of the health sector. Itwill be headed by…1) Nand Kishore Singh 2) Shaktikanta Das 3) Prof. Anoop Singh4) Dr.Randeep Guleria5) None of the above
28. SIDBI is principal development finan-cial institution for promotion, financingand development of Micro, Small andMedium Enterprises (MSME) sector inIndia. It was established on1) 2 April 1990 2) 2 April 1991 3) 2 April 1992 4) 2 April 1993 5) None of these
29. Which of the following country is NOTa member country of ShanghaiCooperation Organisation (SCO)?1) China 2) India 3) Russia 4) South Korea 5) None of these
30. What is the India's rank among 195countries in terms of Healthcare accessand quality (HAQ) index in the year2016, released by Lancet, one of the
world's oldest and best known peer-reviewed general medical journal?1) 145th 2) 146th 3) 147th 4) 148th 5) None of these
31. Which of the following team won the2018 season of the Indian PremierLeague(IPL) final?1) Chennai Super Kings2) Sunrisers Hyderabad3) Delhi Daredevils4) Kolkata Knight Riders5) None of the above
32. 32nd ASEAN summit (25-28 April2018) was held in1) Manila 2) Singapore 3) Bangkok 4) Kuala Lumpur 5) None of these
33. The Union Ministry of HumanResource Development has launchedwhich scheme for holistic developmentof school education?1) Sarva Shiksha Abhiyan(SSA)2) Rashtriya Madhyamik ShikshaAbhiyan(RMSA)3) Teacher Education(TE)4) Samagra Shiksha Scheme5) None of the above
34. Find the Correct Statement?1) Robert Langlands (Canada/USA) is therecipient of Abel Prize 2018.2) Professor Balkrishna Doshi (India) isthe recipient of Pritzker ArchitecturePrize 2018.3) Olga Tokarczuk (Poland) is the recipi-
ent of Man BookerInternational Prize2018.4) The New YorkTimes and The NewYorker have jointlywon the PulitzerPrize, in the PublicService category forWeinstein expose5) All of the above
35. The largest bank in the United Statesby assets and by market capitalization?1) JP Morgan Chase2) Bank of America3) Wells Fargo 4) Citi group 5) None of the above
36. The new salary of Chief Justice ofIndia?1) Rs 5,00,000 2) Rs 4,00,000 3) Rs 3,50,000 4) Rs 2,80,0005) Rs 2,50,000
37. Which Bollywood personality to pro-mote NITI Aayog's 'WomenEntrepreneurship Platform (WEP)'?1) Amitabh Bachchan\2) Sushant Singh Rajput3) Priyanka Chopra4) Parineeti Chopra5) None of the above
38. Hemis National Park is located inwhich state?1) Jammu and Kashmir2) Himachal Pradesh 3) Uttarakhand 4) Uttar Pradesh 5) Maharashtra
39. What is India's rank in the 2018 IMD'scompetitiveness rankings?1) 44th 2) 54th 3) 64th 4) 74th 5) 84th
40. Which state has minimum forest Area(1,588Sq.km) and also with lowestForest cover in terms of percentagegeographical area (3.59%) as perregarding India State of Forest Report(ISFR) 2017?1) Madhya Pradesh 2) Mizoram 3) Haryana 4) Punjab 5) None of these
A.Ravi Prakash ReddySenior Faculty
General Awareness
W hich country won Uber C up 2018?
FOR ALL COMPETITIVE EXAMS
1) 12) 43) 14) 25) 16) 27) 38) 2
9) 510) 1 11) 312) 413) 214) 415) 216) 5
17) 118) 219) 320) 121) 122) 123) 324) 4
25) 126) 327) 428) 129) 430) 131) 132) 2
33) 434) 535) 136) 437) 238) 139) 140) 3
Answers
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IºGã‹yÏ˛ÃZ gÙ˝BΔäˇGãúCÖ∏ÎÃå˝(–ö˛$◊ Ï˝ Á≥NΔ äˇ)ÃZ∞ CØå˛ Ì‹tr*≈så˝ Bãú∫ƒÒ˝*«›˘Δˇfi ã‹ AÖyä˛ Á‹Ú‹ïtØ˲∫$Ãå˝ y ˛–ö˛Àã≥– ˛$Öså˝(IºGã‹yÏ˛) ôÈôÈPÕMʸ {¥ÎÜÁ≥®MʸØ˲ gÙ˝BΔäˇGãú, »Ú‹ΔäˇaA›˘Ì‹ƒÙ˝$så˝ ¥˘Á‹$tÀ øÊ˝»¢Mϸ ßÊ˛ΔÊˇRÍÁ‹$¢À$ M¯ΔÊˇ$ô¯Ö®.AΔÊˇ·ô˲: Á‹Ö∫Ö´®ô˲ Á‹ªÒ˝jMʸ$tÃZœ G–˛$√Ô‹fi, Ø˛så˝/VÛ¸så˝, Ô≥Úfl˝^å˛yÓ˛E°¢ΔÊˇ~ô˲.GÖÌ≥Mʸ: CÖrΔÊˇ*”≈ ßë”Δ>ßÊ˛ΔÊˇRÍÁ‹$¢ —´ßëØ˲Ö: BãúÃÒ˝OØå˛, _–ö˛« ôÛ˛©: lØå˛ 8_Δ Êˇ$ØÈ–ö˛*: Senior Administrative Officer,Institute of Bioresources and SustainableDevelopment, Takyelpat, Imphal - 795001,Manipur.–˛ªå˝Ú‹Oså˝: http://ibsd.gov.in/
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MODEL QUESTIONS
1. The portfolios are allocated tothe ministers by:1) The President2) The Prime minister3) Collective decision of the
Council of Ministers4) Individual Choice
2. The salary and perquisites of theprime minister of India are decid-ed by the:1) Constitution2) Cabinet 3) Parliament4) President
3. The prime minister is:1) Elected by Lok Sabha2) Elected by the Parliament3) Appointed by the President4) Nominated by the Party enjoy-
ing majority in Lok Sabha4. The rank of the different minis-
ters in the union council of min-ister is determined by the:1) President2) Prime Minister3) Cabinet Secretary4) Speaker of Lok Sabha
5. Collective responsibility of thecabinet was introduced in Indiaby the:1) Government of India Act,19352) Minto- Morley3) Independence Act, 19474) Constitution of India
6. What is the colour of the"Dharma Chakra" in the middleof our national flag? 1) Sea blue 2) Black3) Navy blue4) Green
7. What is the position of 'ministerof state' in the central govern-ment?1) He is the nominee of the state
Governor2) He is the nominee of the state
Cabinets3) He looks after the interests of
the state cabinet4) He is Minister of Central Gov-
ernment but not a member ofthe Cabinet
8. Who among the following isdirectly responsible to parlia-ment for all matters concerningthe defence services of India?1) Cabinet Committee on politi-
cal affairs2) President3) Prime Minister4) Defence Minister
9. An 'Office of profit' which dis-qualifies a person from being amember of the union or stateLegislature does not includeoffice held under:1) The Government of India2) a State Government3) a local authority4) All of the above
10. In practise the policy of theGovernment is shaped by:1) all the ministers
2) the Prime Minister3) the Cabinet4) special committees
11. If a minister loses a no-confi-dence motion, then:1) The Minister resigns2) The whole Council of minis-
ters resigns3) Lok Sabha is dissolved4) Only Prime minister and that
Minister resign12. Who among the following Indian
Prime Ministers could not votefor himself during the 'vote ofConfidence' that he was seekingfrom the Lok Sabha?1) VP Singh2) PV NarasimhaRao3) Chandra Shekar4) Manmohan Singh
13. The authorization for the with-drawl of funds from the consoli-dated Fund of India must comefrom1) The President of India2) The Parliament of India3) The Prime Ministers of India4) The Union Finance Minister
14. What is 'Zero hour'?1) When the proposals of the
opposition are considered2) When matters of utmost
importance are raised3) Interval between the morning
and afternoon sessions4) When a Money Bill is intro-
duced in the Lok Sabha15. When the Lok Sabha is dis-
solved, the speaker continues inoffice till a new:1) Lok Sabha is formed2) Speaker is appointed by the by
the president3) Speaker is elected when the
new House meets4) Government is formed
16. Who is the ex-officio Chairmanof Rajya Sabha?1) President 2) Vice-President3) Minister of Parliamentary
Affairs4) Leader of Opposition
17. Parliament's expenditure is con-trolled by:1) President2) Finance Commission3) National Development
Council4) Comptroller and Auditor
General18. Which of the following states has
the largest percentage of reservedparliamentary seats?1) Orissa 2) Bihar3) Uttar Pradesh4) Madhya Pradesh
19. Members of the Rajya Sabha areelected according to:1) Cumulative Vote System2) Single non-transferable Vote
System3) Single Transferable Vote sys-
tem4) None of the above
20. The Rajya Sabha can have amaximum strength of:1) 200 2) 2103) 250 4) 260
21. What could be the maximumtime limit of 'Zero Hour' in theLok Sabha?1) 30 minutes2) 1 hour 3) 2 hours4) Indefinite Period
22. Who was the first speaker of theLok Sabha ?1) G.V. Mavalankar2) P.Upendra3) AnantaAyanaAyyanagar4) Hukam Singh
23. Who is authorised to decide overa dispute regarding disqualifica-tion of a member of Parliament?1) Election Commissioner2) Speaker of Lok Sabha3) President4) A Committee set up by the
Parliament24. The Lok Sabha is called in ses-
sion for at least how many timesin a year?1) Twice 2) Once3) Thrice 4) Four times
25. Who is the Chairman of UnionPublic Service Commission(UPSC)?1) David R. Syiemlieh2) Y.V. Reddy3) Harish Sharma4) Kumar Gupta
26. What type of party system hasbeen evolved in India?1) Single Party2) Bi- Party 3) Multi- Party4) Party less
27. The largest committee ofParliament of India is:1) Public Accounts Committee2) Estimates Committee3) Committee on Public
Undertakings4) Joint Parliamentary
Committee28. Which of the following Parlia-
mentary Committees in Indiaacts as "watch-dog on depart-mental expenditure and irregu-larities?1) Estimates Committee2) Committee on Public
Undertakings3) Public Accounts Committee4) Committee of Public
Assurances29. The Chairman of the Public
Accounts Committee of theParliament is appointed by:1) Prime Minister2) President3) Finance Minister4) Speaker of Lok Sabha
30. The quorum of Lok Sabha andRajya Sabha is ….1) 1/5th of the total membership2) 1/6th of the total membership3) 1/10th of the total membership4) 1/8th of the total membership
31. Who among the followingdecides whether a particular billis a Money bill or not?1) President2) Speaker of Lok Sabha3) Chairman of Rajya Sabha4) Finance Minister
32. After a no confidence motion isadmitted to the Lok Sabha, whodecides a date for the debate?1) President2) Vice-President3) Lok Sabha Speaker4) Prime Minister
33. How many times was the term ofthe Lok Sabha extended upto 6Years?1) Once 2) Twice3) Thrice 4) Never
34. The Public Accounts Committeesubmits its report to1) the Comptroller and Auditor-
General2) the Speaker of the Lok Sabha3) The Minister of Parliamentary
Affairs4) The President of India
35. All revenues received by theUnion government by way oftaxes and other receipts for theconduct of Government businessare credited to the1) Contingency Fund of India2) Public Account3) Consolidated Fund of India4) Deposits and Advances Fund
36. Which is the highest and finaljudicial tribunal in respect of theConstitution of India?1) Parliament 2) President3) Supreme Court4) Union Cabinet
37. What is meant by 'Court ofRecord'?1) The court that preserves all its
records2) The court that maintains
records of all lower courts3) The court that can punish for
its contempt4) The court that is competent to
give directions and issue writs38. Judicial Review 'function of the
Supreme Court means the powerto:1) review its own judgement2) review the functioning of judi-
ciary in the country3) examine the constitutional
validity of the laws4) Undertake periodic review of
the constitution39. The Supreme court of India
decides the disputes regardingthe election of:1) The Prime minister2) The speaker and Deputy
Speaker3) The President and Vice-
President4) All of the above
40. A Judge of the supreme court ofIndia is to holdoffice untill theage of:1) 58 Years 2) 60 Years3) 62 Years 4) 65 Years
41. A Judge of the Supreme Courtcan be removed from office onlyon grounds of:1) gross inefficiency2) imbecile conduct3) proven misbehaviour or inca-
pacity4) Senility
42. The Supreme Court was set upunder:1) Pitts India Act, 17842) Regulating Act, 17733) Indian Councils Act,18614) Indian Councils Act,1892
43. The High Courts in India werefirst started at:1) Bombay, Madras, Calcutta2) Delhi and Calcutta3) Bombay, Delhi, Madras4) Madras and Bombay
44. Which High Court has jurisdic-tion over the state of ArunachalPradesh?1) Guwahati 2) Mumbai3) Kolkata 4) Chandigarh
45. In India, the power to increasethe number of Judges in theSupreme Court lies with:1) The President of India2) The Chief Justice of India3) The Union Ministry of Law4) The Parliament of India
KEY1) 2 2) 3 3) 3 4) 2 5) 46) 3 7) 4 8) 4 9) 3 10) 3
11) 2 12) 4 13) 2 14) 2 15) 316) 2 17) 4 18) 3 19) 3 20) 321) 2 22) 1 23) 3 24) 3 25) 126) 3 27) 2 28) 3 29) 4 30) 331) 2 32) 3 33) 1 34) 2 35) 336) 3 37) 1 38) 3 39) 3 40) 441) 3 42) 2 43) 1 44) 1 45) 4
-N.D. Nagesh, Subject ExpertHyderabad
Who is the ex-officio Chairman of Rajya Sabha?
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MODEL QUESTIONS
Directions (Q.No. 1-5): Readeach sentence to find out whetherthere is any grammatical mistake/error in it. The error, if any, will bein one part of the sentence. Markthe number of that part with erroras your answer. If there is 'Noerror', mark (5) as your answer.1. She played (1)/ her two rivals off
(2)/ against each other (3)/ andgot the job herself. (4)/ No error(5)
2. He thought (1)/ she was play-act-ing (2)/ but in fact she has really(3)/ hurt herself. (4)/ No error (5)
3. The board of directors (1)/ point-ed to (2)/ falling productivity tojustify (3)/ their decide. (4)/ Noerror (5)
4. Large sections of the river (1)/have been poisoned (2)/ by toxicwaste (3)/ in factories. (4)/ Noerror (5)
5. The statement (1)/ was carefullypolished (2)/ and checking (3)/before release. (4)/ No error (5)
Directions (Q.No. 6-10): Eachquestion below has a blank/ twoblanks, each blank indicating thatsomething has been omitted.Choose the word/ set of words fromthe five options for each blank thatbest fits the meaning of the sentenceas a whole.6. They have agreed to the proposal
in ____ but we still have to ____the terms.1) principal, talk2) principle, negotiate3) opinion, discuss4) paper, deal5) theory, converse
7. The information must not be____ without prior written ____.1) disclosed, consent2) discussed, information3) studied… objection4) revealed, circulation5) obtained, signature
8. So far we have managed to ____all the obstacles that have beenplaced in our path.1) Overrule 2) overwrite3) overcome 4) beat5) fail
9. Presentations as well as ____talks were conducted by DelhiUniversity officials in the pres-ence of a huge number of ____and parents.1) complex, hopeful2) involved, contender3) detailed , contestants4) complicated, contenders
5) elaborate, aspirants10. A cut in oil prices looked ____
on Tuesday with the governmentbusy crunching numbers for____ the excise duty on motorfuels.1) awaiting, tumbling2) pending, rising3) looming, sinking4) imminent, reducing5) impending, plummeting
Directions (Q.No.11-15):Rearrange the following six sen-tences (A), (B), (C), (D), (E) and (F)in a proper sequence to form ameaningful paragraph and thenanswer the questions given below.A) Archaeologist MS Krishna Mur-
thy, who spearheaded the exca-vation work, said some portionsof the wall still stand strong indi-cating the level of expertise ofancient engineers.
B) The expert said the outer side ofthe wall bears signs of corrosion,which can be attributed to thecontinuous presence of riverwater.
C) A team of archaeologists recentlydiscovered a 10-ft thick and 100-ft deep masonry wall in Mysurudistrict, which dates back to the5th century.
D) He also reiterated that historicaland archaeological analysisshows it stood strong for at least1,000 years from the 5th to 15thcentury.
E) The wall, excavated in Talakadu,a desert-like town on the leftbank of Cauvery River and locat-ed about 45km from Mysuru,was built to save the then settle-ment from floods.
F) He said that they have excavatedthe wall up to a length of 15ft.But evidence from the site showsthe wall was once 1-km long. It isthe largest masonry wall in SouthIndia.
11. What is the SECOND sentenceafter rearrangement?1) A 2) B 3) C4) D 5) E
12. What is the THIRD sentenceafter rearrangement?1) A 2) B 3) C4) D 5) E
13. What is the FOURTH sentenceafter rearrangement?1) A 2) B 3) D4) E 5) F
14. What is the FIRST sentence afterrearrangement?1) B 2) A 3) C4) D 5) E
15. What is the FIFTH sentence afterrearrangement?1) A 2) B 3) C4) D 5) F
Directions (Q.No. 16-25): In the
following passage there are blanks,each of which has been numbered.These numbers are printed belowthe passage and against each, fivewords/ phrases are suggested, oneof which fits the blank appropriate-ly. Find out the appropriate word/phrase in each case and mark youranswer.
Emerson says "Life is a succes-sion of lessons ____ (16) must belived to be understood." While livinglife we should ____ (17) strength, notborrow it from others ____ (18) con-stantly standing in the shade. Thoseliving in the slums are ____ (19) andtough because they are totally ____(20) to the vagaries and hardships oflife. The rising sun ____ (21) the dayand setting sun closes the day forthem. It is like a drama where thecurtain ____ (22) up in the morningand comes down in the evening.They don't ____ (23) hypertensionand heart attacks because there is,after all, ____ (24) to worry about.The affluent are always worriedabout ____ (25) building and multi-plying their wealth.16. 1) that 2) those 3) which
4) these 5) this17. 1) take 2) acquire
3) receive 4) make 5) put18. 1) who 2) for 3) by
4) in 5) from19. 1) poor 2) sick 3) hardy
4) weaker 5) thin20. 1) depended 2) exposed
3) independent 4) tired5) weak
21. 1) heralds 2) bring3) brought 4) brings5) herald
22. 1) hand 2) hangs3) goes on 4) shines on5) goes
23. 1) get 2) know 3) think
4) have 5) now24. 1) something 2) everything
3) nothing 4) somewhere5) anywhere
25. 1) collecting 2) protecting3) earning 4) accumulating5) wearing
Directions (Q.No. 26-30) Readthe following passage carefully andanswer the questions given below it.Certain words have been printed inbold to help you locate them whileanswering some of the questions.
Visual recognition involves stor-ing and retrieving memories. Neuralactivity, triggered by the eye, formsan image in the brain's memory sys-tem that constitutes an internal repre-sentation of the viewed object. Whenan object is encountered again, it ismatched with its internal representa-tion and there by recognized.Controversy surrounds the questionof whether recognition is a parallel,one-step process or a serial, step-by-step one. Psychologists of the Gestaltschool maintain that object are rec-ognized as wholes in a parallel pro-cedure: the internal representation ismatched with the retinal image in asingle operation. Other psychologistshave proposed that internal represen-tation features are matched seriallywith an object's features. Althoughsome experiments show that, as anobject become familiar, its internalrepresentation becomes more famil-iar, its internal representationbecomes more holistic and the recog-nition process correspondingly moreparallel, the weight of evidenceseems to support the serial hypothe-sis, at least for objects that are notnotably simple and familiar. 26. It can be inferred from the pas-
sage that the matching process invisual recognition is 1) Not a natural activity. 2) Not possible when an object is
viewed for the very first time. 3) Not possible if a feature of a
familiar object is changed insame way.
4) Only possible when a retinalimage is received in the brainas a unitary whole.
5) Now fully understood as acombination of the serial and
parallel process. 27. In terms of its tone and form, the
passage can best be characterizedas 1) A biased exposition 2) A speculative study 3) A dispassionate presentation 4) An indignant denial 5) A dogmatic explanation.
28. The author is primarily con-cerned with 1) Explaining how the brain
receives images 2) Synthesizing hypotheses of
visual recognition 3) Examining the evidence sup-
porting the serial recognitionhypothesis
4) Discussing visual recognitionand some hypotheses pro-posed to explain it.
5) Reporting on recent experi-ments dealing with memorysystems and their relationshipto neural activity.
29. According to the passage, Gestaltpsychologists make which of thefollowing suppositions aboutvisual recognition? I. A retinal image is in exactly
the same form as its internalrepresentation
II. An object is recognized as awhole without any need foranalysis into componentparts.
III. The matching of an objectwith its internal representa-tion occurs in only one step
1) II only2) III only 3) I and III only 4) II and III only5) I, II and III
30. The antonym of controversy is1) Agreement2) Argument3) Arrangement4) Armament5) Aggressive
KEY
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11) 5 12) 1 13) 5 14) 3 15) 416) 3 17) 2 18) 3 19) 3 20) 221) 1 22) 5 23) 1 24) 3 25) 426) 1 27) 3 28) 2 29) 4 30) 1
K. Lalitha BaiSubject Expert
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psychologists have proposed that internal..
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ELECTRO MAGNETIC INDUCTIONALTERNATNG CURRENTS
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73-3 74-2 75-2 76-3 77-1
78-1 79-3 80-1 81-2 82-183-2 84-4 85-4 86-1 87-3
28
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7 29, 2018- ntadilabad.comntnews.com
CompetitiveExams
SPECIAL
ANSWERS 1.3 2.3 3.4 4.4 5.1 6.17.3 8.3 9.2 10.2 11.2 12.413.3 14.4 15.2 16.4 17.2 18.319.2 20.4 21.3 22.2 23.3 24.125.2 26.2 27.3 28.4 29.4 30.431.1 32.3 33.2 34.3 35.3 36.437.3 38.4 39.4 40.2 41.3 42.343.3 44.1 45.1
INDICES AND SURDS
SYNOPSIS
1) Laws of Indices: 1) a + a + a + …….. (n times) = na 2) a . a . a …….. (n times) = an 3) a0 = 1 (a � 0) 4) am . an = am+n 5) ���� = ���� 6) (am)n = amn 7) a-m = ���
8) ��� = ��/� 9) (ab)m = am bm 10) ����� = ���� Some useful formulae: 1) (a + b)2 = a2 + 2ab + b2 2) (a - b)2 = a2 - 2ab + b2 3) (a + b)2 + (a - b)2 = 2(a2 + b2) 4) (a + b)2 – (a - b)2 = 2(2ab) = 4ab 5) (a + b) (a - b) = a2 – b2 6) (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca 7) (a + b + c + d)2 = a2 + b2 + c2 + d2 + 2ab + 2bc + 2cd + 2da + 2bd + 2ac 8) (a + b)3 = a3 + b3 + 3a2b + 3ab2 = a3 + b3 + 3ab(a + b) 9) (a - b)3 = a3 - b3 - 3a2b + 3ab2 = a3 - b3 - 3ab(a + b) 10) (a3 + b3) = (a + b) (a2 + b2 - ab) 11) (a3 - b3) = (a - b) (a2 + b2 + ab) 12) a3 + b3 + c3 – 3abc = (a + b + c ) (a2 + b2 + c2 – ab – bc - ca) 13) a2 + b2 + c2 – ab – bc – ca �� [(a - b)2 + (b - c)2 + (c - a)2] 14) an – bn = (a – b) [an-1 + an-2 . b+…+ bn-1] 15) an + bn = (a + b) [an-1 - an-2 . b+…+ bn-1] If ‘n’ is odd. 16) �(� � �) = 0 17) ��(� � �) = 0 18) ������� � = 0 19) ���(� � �) = (� � �)(� � �)(� � �) 20) ��(�� � ��) = (� � �)(� � �)(� � �) 21) ���(� � �) = (� � �)(� � �)(� � �) 22) �����(� � �) = (� � �)(� � �)(� � �) (ab + bc + ca) 23) � �(���)(���) = 0
24) � �(���)(���) = 0
25) � ��(���)(���) = 1
26) �� = �� � ���� = ����
27) �� = �� � ���� = ����
28) �� = �� � ������ = ������ 29) a + b + c = 0 � a3 + b3 + c3 = 3abc
30) � ��(���)(���) = 1
31) � ��(���)(���) = ���� 32) If a2 + b2 +c2 – ab –bc – ca = 0
� a = b = c 33) If ‘n’ is an odd positive integer then
�� + �� + �� = ������ � ��� + ��� + ��� = �(�����)� = ��������� 34) �� = �� = �� = � = ������������… = ���������������������� Where atleast one of ‘n’ is non-zero
= ��������������������� = ����…���…
35) ��/� + ��/� + ��/� = 0 � (a+b+c)3 = 27 abc Surds: 1) If ‘a’ is a positive rational number and ’n’
is a positive integer such that a1/n is irrational then a1/n is called nth ordered surd denoted by ���
2) The surd of order 2 is called quadratic surd. Ex: �2,�5,�8
3) The surd of order 3 is called a cubic surd. Ex: �4� , �7�
4) A surd consisting a single term is called a monomial surd
Ex: �5, �4� , �8� , �5� 5) A surd consisting two terms is called
binomial surd. Ex: 2 + �3, 5 � �3,�3 + �2,�5 + �3
6) A surd of the form � ��� is called pure surd if a = 1
7) The sum or difference of a rational number and two or more simple surds is called a compound surd. Ex: 3 + �2 + �5, 2 � �3 + �2
8) Two surds are said to be similar surds or like surds if their quotient is rational Ex: (i) 3�2, 5�2 are similar
(ii) 4�3, 7�3 are like surds.
Note: If �� +�� = �� then ��,�� are
similar. 9) If the surds are not similar then they are
called dissimilar surds or unlike surds. Ex: �8,�12,�45
10) Conjugate surds: If the sum and product of two surds is a rational number then the surds are called conjugate surds Ex: 2 + �3, 2 � �3 are conjugates to each other.
11) Rationalising factors: If the product of two surds is a rational number then each of them is a rationalizing factor the other. (i) � + ��,� � �� are rationalizing factors of each other (ii) �� + �� and �� � �� are rationalizing factors of each other. (iii) ��� + ��� ,��/� + ��/� � ��/���/� are rationalizing factor of each other (iv) ��� � ��� ,��/� + ��/� + ��/���/� are rationalizing factors of each other.
Square root of a surd: If �� + �� = �� + ��
then � = �������� and y= �������� i.e. � + � = �and 2��� = �� i.e. �� = �� �� + �� = �� + �� � �� � �� = �� � �� 12) If �� + 2�� = �� + �� then x + y = a and
xy = b 13) If �� + �� + �� + �� = �� + �� + ��
� = ������ � = ������ � = �� ���� and x + y + z
= 0
14) Cube root of a surd: If �� + ��� = � +�� then x3 + 3xy = a and (�� � �) = ��� � �� �� + ��� = � +�� � �� ���� = � � ��
15) If a > o then
(i) �� + �� + �� + �� = ��������
(ii) �� � �� � �� � �� = ���������
(iii) �������…� = � (iv) ������… … (� �����) = �������� �
EXERCISE – 1
1) If �� = 0.1 then x3/2 = 1) 0.1 2) 0.01 3) 0.001 4) 1
2) 80.3 . 80.03 . 80.333 …….. � 1) 0 2) 1 3) 2 4) 8
3) 2 �1 + ��� �1 + ��� �1 + ���… … �1 + ���� = 1) 10 2) 11 3) 20 4) 21
4) The value of �.������.���.��������� = 1) 0 2) 1 3) 2 4) 3
5) (243)0.16 (243)0.04 is 1) 3 2) 7 3) 9 4) 11
6) 312 + 274 + 813 equal 1) 313 2) 314 3) 319 4) 336
7) If (��)� = ��� then x =
1) ���� 2) ���� 3) � ���� 4) ����
8) If ���4���� = 2 then x = 1) 12 2) 24 3) 30 4) 60
9) If ax = b; by = c; cz = a then xyz = 1) 0 2) 1 3) -1 4) 2
10) If ax = by = cz and b2 = ac then y = 1) � + 2� 2) ������ 3) �(���)���� 4) None
11) If ab = 1 then (1+a-1)-1 + (1+b-1)-1 = 1) 0 2) 1 3) a 4) b
12) If (6.7)2 = (0.67)2 = 1000 then �� = �� = 1) 0 2) 1 3) 1/2 4) 1/3
13) ���� = ������ then a = 1) 2/4 2) 3/7 3) 9/4 4) 5/9
14) Solve for x : 2x+5 = 4x+1 1) 0 2) 1 3) 2 4) 3
15) Solve for �: ��2����� = ��2� ���� 1) 24/7 2) 16/3 3) 7/24 4) 3/16
16) If 34x-3 = (6561)9x-2 then x = 1) 1 2) 3 3) 5/2 4) 7/2
17) If 33x+2 + 33x-2 = 246 then x = 1) 0 2) 1 3) 2 4) 3
18) If 3���� = 9���� then x = 1) 0 2) 1 3) 7/2 4) 9/2
19) Which of the following quantities is the largest? 1) 2150 2) 3100 3) 450 4) 525
20) Which of the following is the smallest? 1) 536 2) 2518 3) 12512 4) 6255
21) Which is the greatest among the
following? 1) 21/2 2) 31/3 3) 51/4 4) 71/5
22) Which of the following is the ascending order of the quantities a= 21/3, b = 31/4 c = 41/5, d = 51/6 ? 1) abcd 2) adbc 3) abdc 4) adcb
23) Which is the largest of the following? 1) 2��� 2) 2222 3) 2222 4) 2222
24) If �4096 = 64 then the value of �40.96 + �0.4096 + �0.004096 = 1) 7.104 2) 7.04 3) 7.064 4) 64
25) Simplify : (�.��)��(�.��)�(�.��)��(�.��)��(�.��)(�.��) 1) 0 2) 1 3) -1 4) None
26) If 2x+6 = 16y+1 = 256 then xy - yx = 1) 0 2) 1 3) 2 4) 4
27) If � + �� = 3 then �� + ��� = 1) 3 2) 9 3) 18 4) 27
28) If a + b + c = 0 then the value of a2b-1c-1 + a-1b2c-1 + a-1b-1c2 = 1) 0 2) 1 3) 2 4) 3
29) If � = � + ��� + 1 then x = 1) a + a-1 2) a – a-1 3) ������ 4) ������
30) If ��� + ��� + ��� = 0 then (a + b + c)3 = 1) abc 2) 3abc 3) 9abc 4) 27abc
31) The conjugate surd of 3 + �5 is 1) 3 � �5 3) �3� �5 2) �3 + �5 4) None
32) The conjugate of the surd �3 � 2 is 1) �3 + 2 2) 2� �3 3) ��3� 2 4) None
33) A rationalizing factor of �5 + �3 is 1) �5 + �3 2) ��5 + �3
3) ��5� �3 4) 5 � �3
34) A rationalizing factor of �2� � 1 is 1) �2� + 1 2) �4� � �2� + 1
3) �4� + �2� + 1 4) �2 + 1
35) A rationalizing factor of �5� + �6� is 1) ��5� � �6� ���5� �6� 2) ��5� + �6� ���5 + �6�
3) ��5� � �6� ���5 + �6� 4) ��5� + �6� ���5� �6�
36) �����+ ����� = 1) 1 2) 2 3) 3 4) 4
37) Rationalise : ������ 1) ������ 2) 9 + 2�2 3) 9 � 2�2 4) None
38) If � = �������� then �� + ��� = 1) 18 2) 40 3) 32 4) None
39) Find the +ve square root of 9 + 2�20 = 1) �10 + �2 2) �10 ��2 3) �4 � �5 3) 2 + �5
40) If � = 5 + 2�6 then �� + ��� 1) 2�2 2) 2�3 3) 3�2 4) None
41) �11 � 4�7 = 1) 2 � �7 2) 2 + �7 3) �7 � 2 4) �7� �2
42) If �10 + 2�21 = �7 + �� then x = 1) 1 2) 2 3) 3 4) 4
43) Find the +ve square root of 12�5 + 2�55 1) 5�/���11 + 1� 2) 5�/���11� 1� 3) 5�/���11 + 1� 4) 5�/���11� 1�
44) The positive square root of 10 + �24 +�60 + �40 is 1) �2 + �3 + �5 2) �2 + �3 + �7 3) �2 + �3 + �8 4) �2 + �3 + �7
45) If � = 3 + 2�2 then x2 – 6x + 1 = 1) 0 2) 1 3) 2 4) 3
K. KumarSr. Faculty,
Hyderabad94929 56214
If x= 3+2√2 then x2-6x +1=?10 29, 2018- ntadilabad.comntnews.com
12 ôV’≤<äsêu≤<é eT+>∑fi¯yês¡+ 29.5.2018
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If �A� can do a piece of work in n daysthen at a uniform rate of working �A�will finish th work in one day. If of awork is done by �A� in one day, then�A� will take n days to complete thefull work.
I) If a man is twice as efficeint as theother, then he will take half of thetime taken by the other to finish apiece of work.
II) If �A� does three times faster workthan �B�, then ratio of work done byA and B is 3:1 and ratio of timetaken by A and B is 1:3
III) A,B and C can do a piece of work inT1,T2 and T3 days, respectively. Ifthey have worked for D1, D2 and D3days respectively, then
1) A can do a piece of work in 30 dayswhile B can do it in 20 days. In howmany days can A and B workingtogether can do it?a) 10 days b) 12 daysc) 8 days d) 14days e) None of these
2) A can do a piece of work in 10 daysand B can do it in 15 days. In howmany days can A and B workingtogether can do it?a) 2 days b) 4 days c) 6 days d) 8 days e) 10 days
3) Rajan can finish a work in 24 daysbut kumar does the same work inhalf of the time taken by Rajan.Then working together, what partof the same work can they finish ina day?
4) Ram and Lakshman together can doa work in 10days. Ram alone cando the same work in 30 days. Inhow many days lakshman canalone finish the work?a) 12 days b) 9 daysc) 18 days d) 15 days e) 21 days
5) A,B and C can do a piece of work in10,15 and 30 days respectively.Working together they will com-plete the same work in?a) 2 days b) 3 days c) 4 daysd) 5 days e) 6 days
6) A can lay railway track between two
stations in 16 days and B can do itin 12 days. Together A, B and C didthe job in 4 days. Only C alone cando the job in
7) A and B can complete the piece ofwork in 30 days, B and C in 20days, and C and A in 15 days. If allof them are work together, the timetaken to complete the work will be
8) A can do a piece of work in 4 hours;B and C together can do it in 3hours; while A and C together cando it in 2 hours. How long will Balone take to do it?a) 8 days b) 10 daysc) 12 days d) 24dayse) None of these
9) A and B together can do a piece of workin 3 days. If A does thrice as much asB in a given time, find how long Aalong would take to do the work?a) 2 days b) 4 daysc) 6 days d) 8 days e)10 days
10) Sita takes twice as much time asGita to complete a work and Ritadoes it in the same time as Sita andGita together. If alll the three areworking together can finish thework in 6 days, then the time takenby each of them to finish the work isa) 18, 36, 12 days b) 20, 38, 14 daysc) 24, 42, 18 days d) none
11) If 3 men or 6 women can do a pieceof work in 16 days, in how many
days can 12 men and 8 women dothe same piece of work?a) 2 days b) 3 daysc) 4 days d) 5 days e) 7 days
12) If 2 men or 3 women can do a pieceof work in 30 days, how many dayscan the work be done by 2 men and6 women?a) 4 days b) 5 days c) 10 daysd) 15 days e) none
13) 4 men and 7 women can do a pieceof work in 8 days. In how manydays will 5 men and 2 women finishit if each woman takes twice thetime by one man?a) 5 days b) 7 daysc) 9 days d) 16 dayse) none of these
14) 10 Men can complete a piece ofwork in 15 days and 15 women cancomplete the same work in 12 days.If all the 10 men and 15 womenwork together, in how many dayswill the work get completed?
15) A and B can complete a work in 30days. They worked it for 20 daysand B left. The remaining work wasdone by A alone in 20 more days. Inhow many days A alone can com-plete the whole work?a) 40 days b) 50 days c) 60 days d) 70 days e)80 days
16) A, B and C working alone can do awork in 6,8 & 12 days respectively.B & C start the work together butafter 2 days A replaces C. How soonwill the work be finished?a) 2 days b) 4 days c) 6 days d) None e) 5 days
17) A and B working separately can doa piece of work in 9 days and 12days. If they work for a day alter-nately, �A� beginning, in how manydays, the work will be completed?a) 10days b) 15daysc) 10 1/4 days
d) 5days e) None18) John and Ben working alternately
separately can assemble a computerin 10 hrs and 12hrs. If they areworking for 1hr alternately johnbeginning, in how many hrs com-puter will be assembled?
19) 5 men can complete a piece of workin 4 days. In how many days can 8men complete the same work?a) 14 days b) 8 days c) 32 daysd) 2 1/2 days e) 16 days
20) 8 men can complete a piece of workin 4 days. In how many days will 2men complete the same work?a) 14 days b) 8 days c) 16 days d) 24 days e) none of these
21) A garrison of 4000 men had provi-sion for 30 days. When given at therate of 1200 gram per head. At theend of 12 days, reinforcementarrives and it was found that theprovisions will last 10 days morewhen given at the ratio of 900gram/head. What is the strength ofthe reinforcement?a) 2400 b) 1600 c) 5000d) 5600 e) none
22) Two pipes can fill a tank in 3hrsand 4hrs respectively. While a thirdpipe emotics the full tank in 5 hrs.If all the three pipes operate simul-taneously, in how much time willthe tank be filled?
23) A cistern has 3 pipes A, B and C.The pipes A and B can fill it in 5 hrand 6hr respectively and C canempty it in 3 hr. If the pipes areopened in order at 3pm, 4pm and5pm respectively at what time thetank be filled?a) 6 am b) 5 am c) 4 am d) 4 am e) none
Prepared by
Mr. K. KumarSenior Faculty
Hyderabadph:9492956214
1.b 2.c 3.c 4.d 5.d6.a 7.d 8.c 9.b 10.a11.b 12.c 13.d 14.c 15.c16.a 17.c 18.b 19.d 20.e21.d 22.a 23.a
düe÷<ÛëHê\T
COMPETITIVEEXAMS SPECIAL
Arithmetic
Time and work
1Amount of work done by A =
12
Amount of work done by B =23
Amount of work done by C =3
Also, the amount of work done by
1 2A,B and C together =
1 23
which will be equal to 1, 3
if the work is
D
TD
TD
T
D D
T TD
T
� �
complete.
1 1 1 1 2) ) ) ) )
3 5 8 6 5a b c d e
3 2 7) 9 ) 3 ) 5
5 5 53
) 6 )5
a b c
d e Noneof these
) 10 ) 12
2 1) 12 ) 13
3 3)
a days b days
c days d days
e Noneof these
5 1)10 )10 )10
6 121
) 4 )2
a hours b c
d e Noneof these
60 3) ) 2
23 2) 3 ) 45mins
)
a hrs b hrs
c hrs d
e Noneof these
1 2)6 )6 )6
3 32 2
)7 )93 3
a b c
d e
How many days A alone can complete the whole work?
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This model paper prepared by subject experts ofRACE Institute, Hyderabad.
Staff Selection CommissionCGL Tier - I Model Paper Solutions
No.of Questions: 100 Total Marks: 200 Time: 1 Hr.
HINTS & SOLUTIONS
1. Student follows the teacher and disciplefollows the religious leader.
2. 182 342 210 380↓ ↓ ↓ ↓
132 + 13 182 + 18 142 + 14 192 + 19
5 53. As,
A D H Mopposite
Z W S NSimilarly,C F J O
oppositeX U Q L
4. As smoke results pollution similarly battleresults destruction.
5. Except Kohima, others are states.6. 117 13 162 18 171 19 304 16
×9 ×9 ×9 ×197. (1) A C D F T U O P
+2 +2 +1 +1
H I V W F G I J
+1 +1 +1 +1
8. Narmada falls in Arabian Sea where as therest three falls in Bay of Bengal.
9. The region which represents all three i.e.,owner, broker and worker is 'T'.
10.
So, he is 5 kms away from the starting point.11. Sunita's Grandfather's only son is his
father and father's son is his brother.12. As,
P A S S P O R T
+2 +2 +2 +2 +2 +2 +2 +2
R C U U R Q T VSo,
B O O K L E T
+2 +2 +2 +2 +2 +2 +2
D Q Q M N G V
1 3 5 7 9 1113. ⎯, ⎯, ⎯, ⎯, ⎯, ⎯, ?
2 4 8 16 32 64
Here we have two series-
1st series:1, 3, 5, 7, 9, 11, 13
+2 +2 +2 +2 +2 +2
2nd series:2, 4, 8, 16, 32, 64, 128
×2 ×2 ×2 ×2 ×2 ×2
13So next term is ⎯ .
128
14. Z = 52 = 2 × (26)actual position inenglish alphabet
ACT = 2 × (1 + 3 + 20)actual position inenglish alphabet
= 2 × 24 = 48EAT = 2 × (5 + 1 + 20)
actual position inenglish alphabet
= 2 × 26 = 5215. Q P N K A Z X U
+1 +3 +1 +3
U T R N S R P M
+1 +4 +1 +3
16. Number of people who know all three sub-jects = 100
Number of people who know only civics= 170
100 10∴ Required Ratio = ⎯⎯ = ⎯170 17
17.
I. 3II. 3
Both (I) & (II) follow.18. The word 'COMMUNICATE' can't be
formed from the word 'RECOMMENDA-TION' as we can't find the word 'U' in REC-OMMENDATION.
19. The correct order is-2 → 4 → 1 → 5 → 3
population unemplo- poverty disease death-yment
20. 125 80 45 20 5
–45 –35 –25 –15
+10 +10 +1021.
22.3 4 5
x = 6 8 10
216 512 ?
So, ? = 100023. We can observe from the given diagram
that number 3 represents Indian professorswho are also lawyers.
24. Given equation:8 × 2 + 3 – 5 = 21let us change '×' and '–' signs then we have8 – 2 + 3 × 5 = 8 – 2 + 15 = 23 – 2 = 21So, (3) is the right option.
115 12051. Selling price = 60 × ⎯⎯ × ⎯⎯ = Rs. 82.8
100 10052. Let the cost price of each goat = Rs. 100
C.P S.P−20%1st goat ⎯⎯→ 100×9 ⎯⎯→ 80×9 same+44%2nd goat ⎯⎯→ 100×5 ⎯⎯→ 144×5
∴ cost price of 1st goat
900= ⎯⎯ × 1008 = Rs.648
1400
53. Let the time taken by 3 men = x days
Time taken by 9 women = x + 5 days
3m = x day3x
2m = ⎯ days2
Similarly, 9w = x + 5 days3w = 3(x + 5) daysATQ,2 1 1 2x + 10 + x 1⎯ + ⎯⎯ = ⎯ → ⎯⎯⎯⎯ = ⎯
3x 3(x + 5) 6 3x(x + 5) 6⇒18x + 60 = 3x2 + 15x ⇒ 3x2 – 3x – 60 = 0⇒ x2 – x – 20 = 0 ⇒ x = 5
Time taken by 1 man = 3x = 3 × 5 = 15 daysTime taken by 1 women = 9(x + 5) = 90 days
Required output = 6 times54. Let the given number be x.
Then,3 3(x × ⎯) – (x ÷ ⎯ ) = 102 2
3 2 9x – 4x⇒ ⎯ x – ⎯ x = 10 ⇒ ⎯⎯⎯⎯ = 102 3 6
⇒ 5x = 60 ⇒ x = 1255. SI = Rs. (7200 – 6000) = Rs. 1200
P × R × T 6000 × R × 4∴ SI = ⎯⎯⎯⎯ ⇒ 1200 = ⎯⎯⎯⎯⎯⎯100 100
1200 × 100⇒ R = ⎯⎯⎯⎯ = 5%6000 × 4
New rate of R = 5 × 1.5 = 7.5%6000 × 7.5 × 5
Then, SI = ⎯⎯⎯⎯ = Rs.2250100
∴ Amount = Rs. (6000 + 2250) = Rs. 825056. Let the principal be x
7x∴ Principal SI = ⎯
47x 3x
∴ SI = ⎯ – x = ⎯4 4
SI × 100Rate = ⎯⎯⎯⎯
Principal × Time3x × 100 3
= ⎯⎯ = 18 ⎯ %4 × x × 4 4
57. Average of 9 consecutive no. = n
∴ Fifth number = nTenth number = n + 5Eleventh number = n + 6
9n + n + 5 + n + 6New average = ⎯⎯⎯⎯
1111n + 11 (n + 1) × 11
= ⎯⎯ = ⎯⎯ = n + 111 11
58. Pipe A can fill a tank = 20 minutesLet the efficiency of pipe A = 100Then the efficiency of 5 new pipes
20= 100 × ⎯ × 5 = 100
100M1D1 = M2D2
⇒ 20 × 100 = 100 × D2
⇒ D2 = 20 min59. Let the number be x.
Then,x2 = (75.15)2 – (60.12)2
= (75.15 + 60.12) (75.15 – 60.12)= 135.27 × 15.03 = 2033.1081
⎯⎯⎯⎯∴ x = √ 2033.1081 = 45.09
60.Dog : Cat
Leap/min 5 : 4Distance/ leap 8m : 5mSpeed - 40 m/min : 20 m/min
Relative speed - 20 m/minActual distance b/w cat & dog = 50 × 8 = 400 m
400Time taken by dog = ⎯⎯ = 20 min
20Distance travelled by dog = 20 × 40 = 800 m61.
∠a = 36°
∠b = 54°∴ value of ∠c = 180° – 54⇒ ∠c = 126°
62. Teacher's age= 16 × 10 – 19 × 4 – 5 × 10= 160 – 76 – 50 = 34 years
63. Let the numbers be x, y and z.Then,x : y = 2 : 3y : z = 5 : 8
∴ x : y : z = 2 × 5 : 3 × 5 : 3 × 8 = 10 : 15 : 24Sum of the ratios = 10 + 15 + 24 = 49
15∴ The second number = ⎯ × 98 = 3049
64. In 400 gm of alloy.5
Zinc = ⎯ × 400 = 250 gm8
3Copper = ⎯ × 400 = 150 gm
8x gm of copper be mixed, then
250 5 ⎯⎯⎯ = ⎯ ⇒ 750 + 5x = 1000150 + x 4⇒ 5x = 1000 – 750 = 250 ⇒ x = 50 gm
65. Given 5N = 15RN : R = 3 : 1 & 10R = 20KR : K = 2 : 1
N : R : K3 : 1× 2 :
2 : 16 : 2 : 1
× 2000 2000
Nitya's income 12000
66. Total population → 120000
Total population of male = 65000
∴ No. of females = 67750
∴ Requird Diff. = 2750
67. AB|| CD||PQ (Given)
Let AB = a, PQ = b, CD = c1 1 1 1 1 1 ∴ ⎯ = ⎯ + ⎯ ⇒ ⎯ = ⎯ + ⎯b a c b 12 8 1 3 + 2⇒ ⎯ = ⎯⎯b 361 5 36⇒ ⎯ = ⎯ ⇒ b = ⎯ cmb 36 5
↔ ↔ ↔ ↔
↔ ↔ ↔ ↔
E
F
DC
A B
2 kms
5 kms
2 kms
4 kms
9 kms
5 kms
1 km
AF = 3 kms, EF = 4 kms
√⎯⎯⎯⎯
√⎯⎯⎯
√⎯
∴AE = 32 + 42 = 9 + 16 = 25 = 5 kms
Pencil
Pen
Paper
A Y B Z C
+1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1
+1 +1 +1 +1 +1+1 +1 +1 +1
DW E X F G U H V I J S K T L M Q N R O
× 2x = 6, 8, 10
⇒x3= 216, 512, 1000
VQ
UTc
W
ba
90°
Female9%
10800 1950
male9% + 3%
sEìoæ êŸô¢ªî¦ô³z
× 2000
sNªÞœê¦ þ»õ«uù£ûÂq ¸ôí£æ¨ ›í@ö˺xz
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eT+>∑fi¯yês¡+ 29
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GENERALAWARENESS