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izd`kæd`mid`kj ^d`kæu2/11 ,] Lonsæh chek uxj ·ækg flusek ds` lkeus‚] vkxjk–282 002√ksu : 4053333, 2530966, 2531101; √SDl # (0562) 4053330E-mail : care@upkar.in, Website : www.upkar.in

czkap vkWfœ`l #4845, vUlkjh jksM] nfj;kxat]ubZ fnY¥h%110 002œ`ksu # 011–23251844/66

ikjl Hou ·izFke r¥‚] [tkaph jksM]iVuk%800 004œ`ksu # 0612–2673340

1-8-1/B, vkj\ vkj\ d`kWEI¥sDl ·lqUnjS;k ikdZ`ds` ikl] eulk ,UD¥so xsV ds` cx¥ eÍ‚]ckx f¥axeiY¥h] gSnjkckn%500 044œ`ksu # 040–66753330

28, pkS|jh ¥su] ';ke cktkj]esV_ks LVsæu ds` fud`V] xsV ua\ 4d`ks¥d`krk%700 004 (W.B.)œ`ksu # 033–25551510

B-33, C¥aV LDok;j] d`kuiqj VSDlhLVS≥M ¥su] eoba;k]¥[u˜%226 004 (U.P.)œ`ksu # 0522–4109080

8-310/1, ,\ ds`\ gkml]ghjkuxj] gY}kuh]ft¥k%uSuhrk¥%263 139 ·m®jk[≥M‚eksck\ # 7060421008

1461, twuh æqdz`okjh]lDd`jnjk jksM]guqeku efUnj ds` lkeus]ukxiqj%440 009 ·egkjkÆV_‚œ`ksu # 0712–6564222

63-64, dS`¥kæ ekxZ]xzkm≥M Œ¥ksj]Jhth ,osU;w] e¥gkjxat]bUnkSj%452 002 (M.P.)œ`ksu # 9203908088

● bl iqLrd` d`ks izd`kfær d`jus eÍ izd`kæd` }kjk iw.Z lko|kuh cjrh xbZ gS] fœ`j Hh fd`lh (qfV ds` f¥,izd`kæd` ftEesnkj ugÓ gksxk\

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● fd`lh Hh ifjokn ds` f¥, U;kf;d` {ks( ds`o¥ vkxjk gh gksxk\

ISBN : 978-93-85888-16-8

Code No. 2405

eqnzd` # mid`kj ^d`kæu ·f^afVax ;wfuV‚ ckbZ-ikl] vkxjk

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lEcU|h fl*kUr ....................................................... 3–5

◆ æq* xfrd`h ,oa lj¥ js[h; xfr ............................... 6–9

◆ ;kaf(d`h ................................................................ 10–12

◆ d`k;Z] ˜tkZ rƒk lkeF;Z ........................................ 13–15

◆ êo–LƒSfrd`h ......................................................... 16–19

◆ d`Eiu] rjaxÍ rƒk ÷ofu ......................................... 20–23

◆ rki ekiu ............................................................ 24–25

◆ ˜Æeh; izlkj ....................................................... 26–28

◆ ˜Æeh; ˜tkZ ........................................................ 29–31

◆ voLƒk ifjorZu ................................................... 32–33

◆ fofd`j. ............................................................... 34–35

◆ izd`kæ lEcU|h dq`N rF; ,oa izd`kæ d`k ler¥rƒk xks¥h; r¥ ij ijkorZu ................................. 36–39

◆ ler¥ ij izd`kæ d`k viorZu ............................... 40–43

◆ ¥ÍlkÍ eÍ viorZu rƒk izd`kfæd` ;U( ....................... 44–46

◆ fLƒj fo»qr .......................................................... 47–49

◆ |kjk fo»qr rƒk lj¥ ifjiƒ ................................ 50–54

◆ fo»qr |kjk ds` vuqiz;ksx ........................................ 55–58

◆ pqEcd`Ro .............................................................. 59–60

◆ fo»qr pqEcd`Ro ..................................................... 61–65

◆ fofo| fo"; ......................................................... 66–68

[≥M II

jlk;u foKku .................................... 1–56◆ jlk;u vkSj nzO; ...................................................... 3–5

◆ ijek.q fl*kUr] jklk;fud` la;ksx ds` fu;e rƒkjsfM;ks-,sfDVork ........................................................ 6–8

◆ la;kstd`rk] fo»qrΩ ,oa lg-la;kstd`rk ....................... 9–10

◆ ^rhd`] ew¥d` lw( o jklk;fud` lehd`j. .............. 11–12

◆ xSl lEcU|h fofHUu fu;e o ,oksxkM_ks ifjd`Yiuk .... 13–15

◆ rqY;kad`h Hkj] ijek.q Hkj rƒk v.q Hkj ................ 16–19

◆ oS»qrΩ vi?Vu rƒk jklk;fud` f∂`;k,∑ .................... 20–23

◆ rRokÍ d`k oxhZd`j. rƒk vkorZ lkj.h eÍ mud`hfLƒfr ................................................................. 24–26

◆ t¥ vkSj mlds` vo;o ·gkbM_kstu rƒkvkWDlhtu‚ .......................................................... 27–29

◆ ukbV_kstu] veksfu;k rƒk lYŒ;wjsVsM gkbM_kstu ....... 30–32

◆ D¥ksjhu] lYœ`j MkbvkWDlkbM vkSj gkbM_kstuD¥ksjkbM ............................................................. 33–36

◆ d`kcZfud` jlk;u................................................... 37–44

◆ I¥kfLVd`] Î`f(e jsæs] vkS"f|;k∑] foLœ`ksVd` rƒkfMVjtsUV ............................................................ 45–48

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◆ d`ke-le; rƒk pk¥-le; ij vk|kfjr ^'u ............ 8–14

◆ cßd` tek iw∑th rƒk fd`LrkÍ eÍ Hqxrku ..................... 15–19

◆ fofo| ^'u .......................................................... 21–23

( iv )

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◆ ds`Unzh; ^o~f® d`h eki ............................................ 30–34

◆ ek÷; fop¥u rƒk ekud` fop¥u ........................... 35–38

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◆ cgq¥ vkSj viorZd` d`ks.kÍ ds` f(d`ks.ferh;vuqikr................................................................ 84–87

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◆ ˜∑pkbZ vkSj nwjh ................................................... 90–92

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◆ o~®] o~® d`h LiæZ js[k rƒk p∂`h; prqHqZt ........... 97–100

◆ ,d`kUrj o~®[≥M ds` d`ks.] o~® d`h thokvkÍ ds`[≥MkÍ rƒk lekuqikr lEcU|h ^es; .................... 101–105

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◆ lwph LrEH rƒk ¥Eco~®h; cs¥u ........................ 109–112

◆ ¥Eco~®h; æadq`] xks¥k rƒk æadq` fNUud` .............. 113–117

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General Information● Introduction and Scheme of Examination

Admission criteria to Diploma in Engineering, in Polytechnic Institutions affiliated to Board of TechnicalEducation and others shall include the performance in the Joint Entrance Examination, UPJEE (POLYTECHNIC).

● About UPJEE (POLYTECHNIC)Mode of Examination : The Papers of UPJEE (POLYTECHNIC) will be conducted in Offline (Pen and PaperBased Examination) mode only.

Type of Examination : UPJEE (POLYTECHNIC) shall have one paper for each group having 100 objectivetype questions.

Choice of Medium of Question Papers : All Examination papers are printed in two columns, one in Hindi andother in English Medium.

Provisions for Persons with Disabilities : ● The candidates with disability should fill in the type and percentages of disability correctly in the online

application form for UPJEE (POLYTECHNIC).● Only the candidates, who have 40% or more permanent disability, are eligible to avail the benefits of this

subcategory. ● Persons with any disabilities (including Colour Blindness) are not allowed to apply in Group I (Courses

related to Aeronautical Engineering). ● Dr. Ambedkar Institute of Technology for Handicapped UP, Kanpur is a special institute to facilitate

persons with disability. Persons with Physical disabilities only are eligible for Modern Office Management& Secretarial Practice Course of this institute and Persons with Physical and Hearing disabilities only areeligible for other available courses of the institute.

● All the admission of Persons with any disabilities is subject to the suitability for particular course decidedby the specialist at institute level.

Examination centres for UPJEE (POLYTECHNIC) : Examination will be conducted in all districts of UttarPradesh, However, in some exceptional circumstances, a different district in nearby area may be allotted.

Requests for Change of Examination Centre/District will not be entertained.

Use of Calculator and Communication Aids : Use of electronic devices like mobile phone, calculator etc. isNOT PERMITTED in UPJEE (POLYTECHNIC). Materials like log table, book, notebook, Docu pen etc.should NOT be brought into the examination hall.

● Eligibility for appearing in UPJEE (POLYTECHNIC) is as followsAge : There is not any lower or upper age bar.Group, eligibility and subject Question percentage (Group - A) is given below :

Group Courses Minimum Eligibility Subject wise questionpercentage for Examination

A Engineering &Technology Diploma

10th passed/appeared withminimum 35% marks

Maths–50%Physics & Chemistry–50%

● Reservation of SeatsAs per UP Government rules candidates belonging to certain categories are admitted to seats reserved for thembased on relaxed criteria. These categories are :

A. Vertical Reservations :

I. Other Backward Classes (OBC) if they belong to Non Creamy Layer (NCL)—27%

II. Scheduled Castes (SC)—21%

III. Scheduled Tribes (ST)—2%.

( vi )

B. Horizontal Reservations :I. Persons with Disability (PWD) with 40% or more disability)—3%II. Freedom Fighter—2%III. Ward of Military personnel—5%IV. Girl Candidates of All Categories—20%.

Note : ‘VIMUKTA JATIYAN ·foeqDr tkfr;k∑‚ is not allowed to take any benefit of reservation as ScheduleTribes (ST) in admission.

● Seat Allocation Process and Admission ProcedureCandidates shall be offered admission based on their choices, reservation and State Open Rank of UPJEE(POLYTECHNIC) through a Seat Allocation Process to be announced later. The candidates will be able tomake their choices online for branches and institutes at appropriate time. Candidates are advised to regularlyvisit the UPJEE (POLYTECHNIC) website http://jeecup.org and http://jeecup.nic.in for latest information. Theverification of documents would be done at the time of Seat Allocation Process/admission. The purpose wouldbe to verify different records regarding identification, age, qualifying examination, state of eligibility, categoryand disability (if any) of the candidate. On failing to produce any of the authentic documents, the candidate willnot be considered for admission. SC, ST, OBC and PWD, MP, FF candidates will be required to produceoriginal certificate issued by the competent authority at the time of Seat Allocation Process as well as at the timeof admission, failing which they will not be considered for admission.

● AdmissionAdmission Preference :1. The candidates who have passed minimum qualifying examination from institute situated in Uttar Pradesh

or parents of candidate are domicile of Uttar Pradesh or Mother/Father of candidate is employee of CentralGovernment and currently posted in Uttar Pradesh.

2. After admission of above mentioned candidates, if seats are vacant, then admission will be open for restqualified candidates of other than Uttar Pradesh and India. Foreign candidates should be nominated/recommended by their own Country and nominated/recommended/agreed by Government of India.

Fee for Admission : Courses and institute wise fee detail is given below.

S.N. InstituteType

Course Type TuitionFee

StudentFund Fee

Hostel Fee Total Fee

1. Government All 8000 3870 800 (If availed) 12670

8000 2370 0 10370

2. Aided General 14430 3070 Extra 17500

Self Finance 21000 — Extra 21000

3. Private Diploma in Pharmacy/HotelManagement and all courses of3 year duration

28000 — Extra 28000

1 or 2 year duration 20000 — Extra 20000

Above said fee structure may change any time by Government of Uttar Pradesh/competent authority.

● Admit Card for UPJEE (Polytechnic)The Admit Card can be downloaded from UPJEE (POLYTECHNIC) website. PRIOR TO DOWNLOADINGTHE ADMIT CARD, The candidates are advised to download their admit cards from UPJEE(POLYTECHNIC) website only. The Candidates are also advised to regularly see UPJEE (POLYTECHNIC)website for updates. Telephone number—0522-2630667, 2630106 will also be functional on all working daysfrom 09.00 AM to 06.00 PM for general facilitation.

● Examination UPJEE (Polytechnic)Guidelines to Candidates :1. Please check the Admit Card carefully. In case of any discrepancy from the originally filled online

application form data, then communicate to UPJEE (POLYTECHNIC) Council immediately for necessaryaction.

( vii )

2. The Admit Card is issued provisionally to the candidate subject to his/her satisfying the eligibilityconditions.

3. The examination rooms/hall will be opened 30 minutes before the commencement of the test. Candidatesshould take their seats immediately after opening of the examination hall. If the candidates do not report intime, they are likely to miss some of the general instructions to be announced in the Examination Hall.

4. The candidate must show, on demand, the Admit Card for admission in the examination room/hall. Acandidate who does not possess the Admit Card issued by the Council shall not be permitted for theexamination under any circumstances by the Centre Superintendent.

5. Candidates are advised to bring with them a cardboard or a clip board on which nothing should be written,so that they have no difficulty in filling responses in the Answer Sheet even if the tables provided in theexamination room/hall do have smooth surface. They should also bring with them their own Ball Point Pens(Back/Blue) and HB pencil of good quality. Only HB Pencil should be used to darken the circles of OMRanswer sheet.

6. No candidate, under any circumstances, will be allowed to enter the Examination Centre after 30 minutes ofthe commencement of the examination.

7. A seat indicating roll number will be allocated to each candidate. Candidate should find out and occupytheir allotted seat only. Any candidate found to have changed room or the seat on his/her own other thanallotted, his/her candidature shall be cancelled and no plea would be accepted for it.

8. Ten minutes before the commencement of the paper, each candidate will be given sealed Test Booklet withan Answer Sheet placed inside it.

9. Immediately on receipt of the Test Booklet the candidate will fill in the required particulars on the coverpage of the Test Booklet with Ball Point Pen only. He/She will not open the Test Booklet until asked to doso by the Invigilator. Do not open/break the seal before the announcement.

10. No candidate, without the special permission of the Centre Superintendent or the Invigilator concerned, willleave his/her seat or Examination Room until the full duration of the paper. Candidates must follow theinstructions strictly as instructed by the Centre Superintendent/Invigilators.

11. No Candidate will be allowed to carry any baggage inside the Examination Centre. Examination Centre/JEEC will not be responsible for any belongings stolen or lost at the premises.

12. Candidates are not allowed to carry any textual material, Calculators, Docu Pen, Slide Rules, Log Tables,and Electronic Watches with facilities of calculator, printed or written material, and bits of papers, mobilephone, pager or any other device, except the Admit Card, identity proof, inside the ExaminationRoom/Hall. If any candidate is in possession of any of the above items, his/her candidature will be treatedas unfair means and his/her current examination will be cancelled & he/she will also be debarred for futureexamination(s) and the equipment will be seized.

13. Smoking and eating is strictly prohibited in the examination room.

14. Tea, coffee, cold drinks or snacks are not allowed to be taken into the examination rooms duringexamination hours.

15. No candidate, without the special permission of the Centre Superintendent or the Invigilator concerned, willleave his/her seat or Examination Room until the full duration of the paper. Candidates should not leave theroom/hall without handing over their Answer Sheets to the Invigilators on duty.

● Instructions for Examination1. Five minutes before the commencement of the paper the candidate will be asked to break/open the seal of

the Test Booklet. He/She will take out the Answer Sheet carefully. The candidate should check carefullythat the Test Booklet Code printed on the Answer Sheet is the same as printed on the Test Booklet. In caseof discrepancy, the candidate should immediately report the matter to the Invigilator for replacement ofboth the Test Booklet and the Answer Sheet.

2. Candidate will then write particulars with Blue/Black ball point pen and HB pencil to darken the circles onthe Answer Sheet. After completing this step, the candidates will wait for the instruction by the invigilator.

3. The test will start exactly at the time mentioned in the Admit Card and an announcement to this effect willbe made by the invigilator.

4. The test will be of 3 hrs duration.

5. The test paper will be consisting questions of as per table, questions will have equal weightage.

6. Each question is allotted 4 (four) marks for the correct response. 1/4 (one fourth) marks i.e. one mark willbe deducted for indicating incorrect response of each question. No deduction from the total score will be

( viii )

made if no response is indicated for a question. If candidate chooses more than one response, such answerwill be treated as wrong and one mark will be deducted.

7. There is only one correct response for each question out of four responses given.

8. During the examination time, the invigilator will check Admit Card of the candidate to satisfyhimself/herself about the identity of each candidate. The invigilator will also put his/her signatures in theplace provided in the Answer Sheet.

9. Candidate shall bring his/her own Ball Point Pens/HB pencils/eraser of good quality. These will not besupplied by the Council/examination centre.

10. The answer sheet provided to the candidate contains an attached carbon copy. Candidates are advised tokeep the answer sheet correctly at the time marking responses so that all responses marked by candidateshould appear properly on carbon copy of answer sheet. After examination, candidates can take carboncopy of answer sheet and Question booklet with them.

11. The candidate will not do any rough work on the Answer Sheet. All rough work is to be done in the TestBooklet itself.

12. Please do not fold the Answer Sheet and do not make any stray marks on it.

13. A light or faintly darkened circle is a wrong method of marking and liable to be rejected by the OpticalScanner. So, the circle should be properly darkened.

14. The candidate will check that the Test-booklet contains 100 questions in sequence. The candidates shouldalso verify the serial number and series of the Test Booklet with the serial number and series of OMR sheet.In case of any variation, the Test Booklet and OMR sheet should be immediately returned to the invigilatorfor the replacement with another set of same series available in the examination hall/centre.

15. The candidates must sign on the Attendance Sheet at the appropriate place. The candidates are also requiredto put their left hand thumb impression in the space provided in the Attendance Sheet/verification card.

16. The candidates are governed by all Rules and Regulations of the Council with regard to their conduct in theExamination Hall. All cases of unfair means will be dealt with as per rules.

● Code of Conduct for Candidates During UPJEE (Polytechnic)Candidates shall maintain perfect silence and attend to their Question Paper only. Any conversation or gestureor disturbance in the Examination Room/Hall shall be deemed as misbehaviour. If a candidate is found usingunfair means or impersonating, his/her candidature shall be cancelled and he/she will be liable to be debarredfor taking examination either permanently or for a specified period according to the nature of offence.

Candidates are not allowed to carry any textual material, Calculators, Docu Pen, Slide Rules, Log Tables, andElectronic Watches with facilities of calculator, printed or written material, and bits of papers, mobile phone,pager or any other device, except the Admit Card inside the Examination Room/Hall. If any candidate is inpossession of any of the above item, his/her candidature will be treated as unfair means and his/her currentexamination will be cancelled and he/she will also be debarred for future examination(s) and the equipment willbe seized.

The candidate shall not remove any page(s) from the Test-Booklet and if he/she is found to have removed anypage(s) from his/her Test Booklet, he/she will be presumed to have used unfair means and shall be liable forcriminal action.

ikWf¥VsfDud` la;qDr ^osæ ijh”k] 2016·fMI¥ksek/bathfu;¯jx ikBΩ;∂`e ds` f¥,‚

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2.2x +

5y = 1 ,oa

60x

– 20y

= 13

lehd`j.kÍ d`ks g¥ d`jus ij x ,oa y d`k eku gksxk%(A) x = 4, y = 10 (B) x = 10, y = 4

(C) x = 14 , y = 5 (D) bueÍ ls d`ksbZ ugÓ

3. xzke ^|ku ds` pquko eÍ nks ¥ksx ^frHkx d`jrs gß\ pquko eÍdq`¥ 9791 er iMÈrs gß] ftleÍ ls 116 er fujLr gks tkrs gß\fot;h ^frHkxh d`ks gkjus ok¥s ^frHkxh ds` 4 oksV ds` Lƒkuij 5 oksV fe¥rs gß] rks Kkr d`jÍ fd` fot;h ^frHkxh d`ksfd`rus vf|d` er fe¥s%(A) 2000 (B) 775

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4. [log2 (log2(log2 16)] d`k eku gS%

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7. fn, x, f(Hqt ABC eÍ D ,oa E js[k AB ,oa AC ds` e÷;-fcUnq gß\ js[k DE d`k eku gksxk%

B C

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A

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(A) 20 lseh (B) 24 lseh

(C) 30 lseh (D) 15 lseh

4U | ikWf¥VsfDud` ·fMI¥ksek/bath\‚ 2016

10. ,d` o~® d`h thok d`h ¥EckbZ 24 lseh gS rƒk ;g ds`Unz ls 5lseh d`h nwjh ij gS\ mlh o~® ds` ds`Unz ls 12 lseh d`h nwjh ijfLƒr thok d`h ¥EckbZ gS%

(A) 12 lseh (B) 10 lseh

(C) 5 lseh (D) 24 lseh

11. ,d` js[k ftld`k lehd`j. 4x – 3y + 12 = 0 gS] x-v”d`ks fcUnq A ij d`kVrh gS] rks fcUnq A ds` funsZækad` gß%(A) (4, 0) (B) (4, 3)

(C) (– 3, 0) (D) (3, 12)

12. 7° × (25)– 3/2 – 5–3 d`k eku gS%(A) 7 (B) 35

(C) 5– 3/2 (D) 0

13. nks js[k,∑ ftud`k lehd`j. 3x – 2y = 5 vkSj 2x + ky + 7 =0 gß] ,d`-nwljs ds` ¥EcorΩ gß] rks k d`k eku gS%

(A) 3 (B)13

(C) – 43

(D)32

14. ,d` prqHqZt ABCD ds` fcUnq A ,oa C ds` funsZækad ̀ (3, 6)vkSj (– 1, 2) gß] rks BD d`k lehd`j. gS%(A) 2x + 4y = 5 (B) 2x + 4y = 0

(C) x + 4y = 12 (D) x + y = 5

15. (cosec A – sin A) (sec A – cos A) (tan A + cot A)

d`k eku gS%(A) 1 (B) 2

(C) √⎯ 3 (D) 12

16. ,d` jkWds`V ¥kWfUpax iSM P ls ˜÷okZ|j fnæk eÍ NksMÈk tkrk gS\;g ig¥s 40 fd`eh ˜÷okZ|j fnæk eÍ tkrk gS vkSj fœ`j˜÷okZ|j fnæk ls 60° ds` d`ks. ij 40 fd`eh tkrk gS\ bld`hblds` ¥kWfUpax iSM ls ˜∑pkbZ gS%

(A) 80 fd`eh (B) 60 fd`eh

(C) 65 fd`eh (D) 85 fd`eh

17.23 cosec2 58° –

23 cot 58° tan 32°

– 53 tan 13° tan 37° tan 45° tan 53° tan 77°

d`k eku gS%(A) 1 (B) – 1

(C) 2 (D) – 2

18. ,d` igkMÈh d`k [EHs ds` |jkr¥ ls mUu;u d`ks. 60° gS rƒk[EHs d`k igkMÈh ds` |jkr¥ ls mUu;u d`ks. 30° d`k gS\ ;fn[EHs d`h ˜∑pkbZ 20 ehVj gS] rks igkMÈh d`h ˜∑pkbZ gS%

(A) 60 ehVj (B) 80 ehVj

(C) 40 ehVj (D) 30 ehVj

19. ;fn d`ks. A = 30°, rks sec2 A – tan2 A d`k eku gS%(A) 0 (B) – 1

(C) 2 (D) 1

20. nksukÍ fljkÍ ij [q¥h gqbZ |krq d`h ,d` cs¥ukd`kj VΩ;wc gS]ftld`k vkUrfjd` O;kl 11·2 lseh vkSj ¥EckbZ 21 lseh gS\;fn |krq d`h eksVkbZ 0·4 lseh gS] rks |krq d`k vk;ru gksxk%

(A) 2067·87 lseh3 (B) 306·24 lseh3

(C) 1922·81 lseh3 (D) 1033·94 lseh3

21. ,d` vk;rkd`kj fVu æhV] ftld`k lkbt 22 lseh xq.k 16lseh gS] d`ks eksMÈd`j ,d` cs¥u cuk;k tkrk gS] ftld`h˜∑pkbZ 16 lseh gS\ cs¥u d`k vk;ru gS%

(A) 616 lseh3 (B) 416 lseh3

(C) 308 lseh3 (D) 832 lseh3

22. fn, x, v*Zo~®kd`kj d`k ds`Unz O gS\B

O

12 lseh

16 lseh

Nk;kd`kj Hkx d`k ”s(œ`¥ gS%

(A) 96 lseh2 (B) 19·2 lseh2

(C) 62 lseh2 (D) 61·1 lseh2

23. fn, x, fp( eÍ PS o~® d`k O;kl gS] ftld`h ¥EckbZ 6 lsehgS\ Q ,oa R fcUnq] O;kl ij bl ^d`kj gß fd` PQ, QR vkSjRS vkil eÍ cjkcj gß\ v*Zo~® PQ ,oa QS d`ks O;kl ekursgq, cus gß\

SQ

PR

Nk;kd`kj Hkx d`k ifjlhek gS%

(A)667

lseh2 (B)1327

lseh

(C)667

lseh (D)1327

lseh2

24. ,d` pknj] tks 30 lseh ¥Ech rƒk 10 lseh pkSMÈh gS ls lekuO;kl ds` o~®kd`kj Vqd`MÈs fMLd` cukus ds` f¥, d`kVs tkrs gß\fMLd` d`k O;kl 1 lseh gS\ pknj ls dq`¥ fd`ruh fMLd` cuÍxh =(A) 300 (B) 100

(C) 200 (D) 95

25. ;fn X = [ ]1–3 –24 , Y = [ ]01rc XY d`k eku gS%

ikWf¥VsfDud` ·fMI¥ksek/bath\‚ 2016 | 5U

(A) [ ]–24 (B) [ ]00(C) [ ]1–3 01 (D) [ ]14 01

26. ;fn 5, 3, 0·5, 4·5, b, 8·5, 9·5 d`h ekf÷;d`k 7 gS] rks b d`keku gS%(A) 31 (B) 49

(C) 12 (D) 18

27. 60 ¥MÈd`kÍ d`k Hkj fuEu pkVZ ds` vuqlkj gS%

Hkj fd`xzk eÍ 37 38 39 40 41

¥MÈd`kÍ d`h la“;k 10 14 18 12 6

bld`h ekf÷;d`k gS%

(A) 30 (B) 39

(C) 60 (D) 78

28. mRiknd` A ,d` okW¯æx eæhu d`ks fo∂s`rk B d`ks 12,500 eÍ vkSj fo∂s`rk B, fo∂s`rk C d`ks 800 d`k ¥kH

¥sd`j rƒk fo∂s`rk C [jhnnkj d`ks 1,300 d`k ¥kH ¥sd`jcsprk gS\ ;fn oSV d`h nj 8% gks] rks [jhnnkj us eæhu[jhnus ds` f¥, Hqxrku fd`;k%(A) 15,768 (B) 14,600

(C) 15,600 (D) 15,704

29. AB ,d` fu;r js[k gS vkSj AB2 = AP2 + BP2, rks fcUnq Pd`k%

(A) O;kl AB d`k o~® (B) lh|h js[k

(C) f(Hqt (D) led`ks. f(Hqt

30. ,d` Vhoh d`k fo∂`; ewY; d`j lfgr gS 40,221, rks mld`kewY; gksxk ;fn d`j d`h nj 9% gks] rks%

(A) 43,840·89 (B) 36,198·90

(C) 36,900 (D) 43,850

31. ;fn x : y = 4 : 3, rks (5x + 8y) : (6x – 7y) d`k eku gS%

(A) 4 : 3 (B) 45 : 33

(C) 20 : 13 (D) 44 : 3

32. ,d` O;fDr 5,000 d`k )`. 12% ^fro"Z ds` p∂`o~f* C;ktij ¥srk gS ftl ij C;kt ^fr Nekgh ns; gS\ og ^R;sd`Nekgh ds` vUr ij 1,800 d`k Hqxrku d`jrk gS\ vius )`.d`k iw.Zr# Hqxrku d`jus gsrq og 18 ekg ckn Hqxrku d`jrkgS%

(A) 5,624·60 (B) 2,024·60

(C) 3,824·60 (D) bueÍ ls d`ksbZ ugÓ

33. ,d` O;fDr vko~f® tek [krs eÍ 250 ^R;sd` ekg nks o"ksÛrd` 6% ^fro"Z ds` lk|kj. C;kt ij tek d`jrk gS\ mld`ktek |u nks o"Z ckn gksxk%

(A) 6,375 (B) 375

(C) 6,360 (D) 6,370·80

34. ,d` la“;k vkSj mlds` O;qR∂`e d`k ;ksx 174

gS] rks la“;k gS%

(A) 14 (B)14

(C) 24 (D) bueÍ ls d`ksbZ ugÓ

35. lehd`j. x2 – 3x – 28 = 0 ds` ew¥kÍ d`k ;ksx gS%(A) 3 (B) – 3(C) 4 (D) – 28

36. nks la“;k,∑ ftud`k vuqikr 3 : 5 gS eÍ ^R;sd` eÍ 8 tksMÈus ij2 : 3 d`k vuqikr gks tkrk gS] la“;k,∑ gß%

(A) 15 ,oa 24 (B) 21 ,oa 34

(C) 6 ,oa 18 (D) 24 ,oa 40

37. 4, 8, 16 ,oa 26 lekuqikrh gkÍxs ;fn ^R;sd` eÍ la“;k tksMÈ nhtk,%(A) 4 (B) 2

(C) 6 (D) bueÍ ls d`ksbZ ugÓ

38. lehd`j. ax2 + bx + c = 0 tgk∑ a, b, c ∈ R vkSj a ≠ 0ds̀ ew¥] ifjek. eÍ cjkcj rƒk fpÕ ·lkbu‚ eÍ foijhr gkÍxs];fn%(A) b2 – ac ≥ 0 (B) b2 – 4ac = 0(C) b = 0 (D) a = 0

39.cot2 θ (1 – cos2 θ)

cos2 θ d`k eku gS%

(A) 1 (B) 0

(C) tan θ (D)1

cos2 θ

40. (5x – 3)(x + 2)2 ds` foLrkj eÍ x2 vkSj x ds` xq.kad` gß%

(A) 17 vkSj 8 (B) 17 vkSj 5

(C) 5 vkSj 8 (D) bueÍ ls d`ksbZ ugÓ

41. lehd`j. ( )x – 2x ( )x2 + 2 + 4x2 d`k g¥ gS%(A) x3 + 2x +

4x – 8 (B) x3 –

8x3

(C) x3 + 8x3

(D) x3 – 8x2

42. jksfgr ds` ikl nhi ls 9,500 vf|d` gS\ ;fn nhi 2,000 jksfgr d`ks nsrk gS] rks jksfgr ds` ikl nhi ds` ikl

cps |u ls pkj xq.k |u gks tkrk gS\ jksfgr vkSj nhi ds`ikl ^kjEH eÍ |u gß%

(A) 13,500 vkSj 4,000 (B) 16,500 vkSj 6,000

(C) 17,000 vkSj 6,500 (D) mi;qZDr eÍ ls d`ksbZ ugÓ

43. lehd`j. 2x3 + 5x2 – 11x – 14 ds` xq.u[≥M gß%(A) (2x + 7) (x + 1) (x – 2)(B) (2x + 7) (x – 1) (x – 2)(C) (x + 7) (2x + 1) (x – 2)

(D) mi;qZDr eÍ ls d`ksbZ ugÓ

6U | ikWf¥VsfDud` ·fMI¥ksek/bath\‚ 2016

44. lehd`j. x

1 – x +

1 – xx

= 216

x ≠ 0 vkSj x ≠ 1 eÍ x ds` eku gß%

(A)49 vkSj

913

(B)49 vkSj 1

(C)913

vkSj 413

(D)32 vkSj

49

45. fn, x, fp( eÍ PT js[k o~® d`ks fcUnq R ij Nwrh gS ftld`kds̀ Unz O gS\ O;kl SQ vkxs c

ikWf¥VsfDud` ·fMI¥ksek/bath\‚ 2016 | 7U

63. gS¥kstusæu gS%

(A) lad`¥u vfHf∂`;k (B) vkWDlhd`j. vfHf∂`;k(C) vip;u vfHf∂`;k (D) bueÍ ls d`ksbZ ugÓ

64. rRo A, B, C ,oa D eÍ lcls vklkuh ls vk;uhd~`r gksusok¥k rRo gksxk] ;fn mud`h b¥sDV_kWu cU|qrk ·,fœ`fuVh‚fuEu gkÍ%

A = 3·79 eV, B = 3·56 eVC = 3·35 eV, D = 3·25 eV

(A) A (B) B(C) C (D) D

65. vkWDlhd`j. vfHf∂`;k eÍ gksrk gS%

(A) b¥sDV_kWu d`h gkfu ·”j.‚

(B) b¥sDV_kWu d`k ¥kH ·tqMÈuk‚

(C) b¥sDV_kWu d`k u ¥kH] u gkfu

(D) mi;qZDr eÍ ls d`ksbZ ugÓ

66. fuEuf¥f[r eÍ ls fd`lds` f∂`LV¥ eÍ t¥ mifLƒr gS =

(A) ¯td` D¥ksjkbM (B) d`kWfLVd` lksMk

(C) [kus d`k lksMk (D) |ksus d`k lksMk

67. lksfM;e iksVSfæ;e lYœs`V (NaKSO4) gS%

(A) ladq`¥ ¥o. (B) fefJr ¥o.

(C) væq* ¥o. (D) bueÍ ls d`ksbZ ugÓ

68. vE¥ A, B, C ,oa D d`k pH eku ∂`eæ# 1, 2, 3 vkSj 4 gß\bueÍ ls lcls æfDræk¥h vE¥ gS%(A) A (B) B

(C) C (D) D

69. esfƒ¥ vkWjSUt ih¥k jax nsrk gS%

(A) vE¥h; fo¥;u eÍ (B) ”kjh; fo¥;u eÍ

(C) mnklhu fo¥;u eÍ (D) bueÍ ls d`ksbZ ugÓ

70. FeCl3 ds` cukus eÍ Œ;wTM dS`fYl;e D¥ksjkbM fe¥k;k tkrkgS%

(A) vfHf∂`;k ds` f¥,

(B) mR^sjd` ds` Ôi eÍ

(C) FeCl3 d`ks æqÆd` j[us ds` f¥,

(D) mi;qZDr eÍ ls d`ksbZ ugÓ

71. ,d` ;kSfxd` A ds` t¥h; fo¥;u eÍ NH4OH cw∑n-cw∑n d`jfe¥kus ij ¥k¥-Hwjs jax d`k vo”si ^kIr gksrk gS\ ;kSfxd` AgS%

(A) ¯td` lYœs`V (B) ¥sM ukbV_sV

(C) œs`jl lYœs`V (D) œs`fjd` D¥ksjkbM

72. ,d` ;kSfxd` ds` 1 eks¥ eÍ d`kcZu d`k 1 eks¥ vkSj vkWDlhtu ds`2 eks¥ gß\ ;kSfxd` d`k v.qHkj gS%(A) 3 (B) 12

(C) 32 (D) 44

73. 36 xzke æq* t¥ eÍ vkWDlhtu d`k nzO;eku gS%

(A) 16 xzke (B) 64 xzke

(C) 70 xzke (D) 32 xzke

74. ,d` iEi 100 fd`xzk ikuh 20 ehVj ˜∑pkbZ ij cus ,d` Vßd` eÍ10 lsd`≥M eÍ p

continue

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