allen test paper

8/17/2019 Allen Test Paper

1/33

CLASSROOM CONTACT PROGRAMME

FORM NUMBER

PAPER CODE 0 1 C T 3 1 4 0 6 9

Please read the instructions carefully. You are allotted 5 minutes specifically for this purpose.

i;k bu funsZ'kks a dks

ku ls i

sA vkidks

5 feuV fo'ks"k

i ls bl dke ds fy

fn;s x;s gSaA

Do not open this Test Booklet until you are asked to do so.

1. Immediately fill in the form number on this page of the Test Booklet

with Blue/Black Ball Point Pen. Use of pencil is strictly prohibited .

2. The candidates should not write their Form Number anywhere else

(except in the specified space) on the Test Booklet/Answer Sheet.

3. The test is of 3 hours duration.

4. The Test Booklet consists of 90 questions. The maximum marks

are 360.

5. There are three parts in the question paper A,B,C consisting of

Physics, Chemistry and Mathematics having 30 questions in each

part of equal weightage. Each question is allotted 4 (four) marks for

correct response.

6. One Fourth mark will be deducted for indicated incorrect response

of each question. No deduction from the total score will be made

if no response is indicated for an item in the Answer Sheet.

7. Use Blue/Black Ball Point Pen only for writting particulars/marking

responses on Side–1 and Side–2 of the Answer Sheet.

Use of pencil is strictly prohibited.

8. No candidate is allowed to carry any textual material, printed or written,

bits of papers, pager, mobile phone any electronic device etc, except

the Identity Card inside the examination hall/room.

9. Rough work is to be done on the space provided for this purpose in

the Test Booklet only.

10. On completion of the test, the candidate must hand over the Answer

Sheet to the invigilator on duty in the Room/Hall. However, the

candidate are allowed to take away this Test Booklet with them.

11. Do not fold or make any stray marks on the Answer Sheet.

bl ijh{kk iqfLrdk dks rc rd u kksysa tc rd dgk u tk,A

1. ijh{kk iq fLrdk ds bl i` "B ij vko';d fooj.k uhys @dkys ckW y ikba V is u

ls rRdky Hkjs aA is fUly dk iz;ks x fcYdq y

oftZ r gSa A

2. ijh{kkFkhZ viuk QkeZ ua- fu/kkZ fjr txg ds vfrfjä ijh{kk iq fLrdk @ mÙkj

i ij dgha vkSj u fy[ks aA

3. ijh{kk dh vof/k k aV s gSA

4. bl ijh{kk iqfLrdk esa iz 'u ga SA vf/kdre va d gS aA

5. bl ijh{kk iqfLrdk esa rhu Hkkx A, B, C gSa ftlds izR;sd Hkkx esa

HkkSfrd foKku jlk;u foKku oa xf.kr ds 30 i'u gS a vkSj lHkh iz 'uks a ds va d

leku gS aA iz R;s d iz 'u ds lgh mÙkj ds fy 4 (pkj)va d fuèkkZ fjr fd;s x;s gS aA

6. izR;s d xyr mÙkj ds fy ml iz'u ds dqy vad dk ,d pkSFkkbZ vad dkVk

tk;sxkA mÙkj iq fLrdk esa dksbZ Hkh mÙkj ugha Hkjus ij dqy iz kIrka d esa ls

½.kkRed vadu ugha gks xkA

7. mÙkj i ds i`"B oa i`"B ij oka fNr fooj.k oa mÙkj va fdr djus gs rq

ds oy uhys@dkys ckWy ikbaV isu dk gh iz;ks x djs aA

isfUly dk iz;ksx loZFkk oftZr gSA

8. ijh{kkFkhZ kjk ijh{kk d{k @ gkWy esa ifjp i ds vykok fdlh Hkh iz dkj dh ikB~ lkexz h eq fær k gLrfyf[kr dkxt dh ifpZ ;ks a is tj eksckby Qks u k fdlh Hkh iz dkj ds bysDVª kfud midj.kks a k fdlh vU iz dkj dh lkexzh dks ys tkus k mi;ks x djus dh vuq efr ugha gS aA

9. jQ dk;Z ijh{kk iq fLrdk es a ds oy fu/kkZfjr txg ij gh dhft;sA

10. ijh{kk lekIr gks us ij ijh{kkFkhZ d{k@gkW y Nks M+ us ls iw oZ mÙkj i d{k fujh{kd

dks vo' lkSa i ns aA ijh{kkFkhZ viu lkFk bl ijh{kk iqfLrdk dks y tk

ldr gSA

11. mÙkj i dks u eksM+ s a oa u gh ml ij vU fu'kku yxk,s aA

IMPORTANT INSTRUCTIONSegRoiw.kZ funsZ'k

Path to Success

ALLENCAREER INSTITUTEKOTA (RAJASTHAN)

TMek/;e % fgUnh

Your Target is to secure Good Rank in JEE 2015

Corporate Office

ALLEN CAREER INSTITUTE

“SANKALP”, CP-6, Indra Vihar, Kota (Rajasthan)-324005

+91-744-2436001 [email protected]

www.allen.ac.in

(ACADEMIC SESSION 2014-2015)

DATE : 01 - 04 - 2015 ALLEN JEE (Main) TEST

TARGET : JEE (Main) 2015 LEADER & ENTHUSIAST COURSE : SCORE


2/33


3/33

Kota/01CT314069H-2/32

Target : JEE (Main) 2015/01-04-2015

SPACE FOR ROUGH WORK /Q dk;Z ds fy;s txg

4. I ,

m, 1

(1) m > 1,

,

.

(2) m > 1

.

(3) m > 1

.

(4) m > 1

.

5. A 30-

. O

30.01 . O ,

15.52 .

:-

(1) 15.515

(2) 15.520

(3) 15.525

(4) 15

4. vk;ke ekW Mwyu esa ekWMwyu lwpdka d m dk eku 1 ls de

;k blds cjkcj j[kk tkrk gS D;kas fd

(1) m > 1 gks us ij okgd vko`fr rFkk lans 'k vko`fr ds

e O;frdj.k gks us ls fo:i.k mRiUu gks xkA

(2) m > 1 gks us ij nks uks a ik'oZ cS a Mks dk vfrO;kiu gks xk

ftlds QyLo:i lans 'k esa âkl gks tkrk gSA

(3) m > 1 gks us ij okgd ladsr rFkk lans 'k ladsr ds

eè dyk es a vUrj vk tkrk gSA

(4) m > 1 dk vFkZ g S okgd ladsr dk vk;ke la ns 'k

lads r ds vk;ke ls vf/kd gS ftlds QyLo:i fo:i.k gks rk gSA

5. ,d LVhy dk Qhrk 30 yEck gS tks fdlh rki ij lgh

eki n'kkZrk gSA fdlh xeZ fnu g 30.01 rd foLrkfjr

gks tkrk gSA bl fnu bl Qhrs kjk nks fcUnq vks a ds chp dh

nwjh 15.52 ekih tkrh gSA bu fcUnqvks a ds e lgh

nwjh gks xh (1) 15.515

(2) 15.520

(3) 15.525

(4) 15


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Leader & Enthusiast Course/Score/01-04-2015

H-3/32Kota/01CT314069


6. A

. I L L

and latent heats of vaporization and Sl

. I :-

10 90 100 120

temperature

200

30

10

t(sec)

melting

Boiling

(1) , f v S L L S S > =l (2) , f v S L L S S < >l

(3),

f v S

L L S S > <l (4)

, f v S

L L S S = >l

7. A -

12 . I

1 . A

5

. A 45

, .

7

( = 10 /2) :-

45kg

v

(1) 120 / (2) 10 /

(3) 1 / (4) 11 /

6. fdlh dkYifud Bks l ds nz O;eku dks fu;r nj ij

yxkrkj Å"ek nh tkrh gS rFkk blds laxr vkjs [k khapk

tkrk gS ftls fp es a n'kkZ;k x;k gSA fn L o L

Øe'k

laxyu rFkk ok"iu dh xqIr Å"ek,s a gks o l o

Øe'k

nzo o Bks l dh fof'k"V Å"ek,s a gks rks lgh fodYi pqfu;sA

10 90 100 120

temperature

200

30

10

t(sec)

melting

Boiling

(1) ,v S L L S S > =l (2) , f v S L L S S < >l

(3) ,v S L L S S > l

7. vuqizLFk dkV ks=Qy 12 okys d cM+s csyukdkj Vs ad dks ikuh ls Hkjk x;k gSA blds iS ans ls 1 dh ÅapkbZ ij ,d Nks Vk fNnz gSA d 5 nz O;eku ds pyk;eku fiLVu dks Vs a d ds 'kh"kZ ij bl izdkj ls dlk x;k gS fd g Vs ad es a fcuk k"kZ.k eqDr i ls xfr dj ldrk gSA fiLVu kjk ikuh ds 'kh"kZ ij d 45 dk Hkkj fp=kuqlkj yxk;k tkrk gSA tc fiLVu iS ans ls 7 Åij gS rks dk eku gksxk ( = 10 /2) :-

45kg

v

(1) 120 / (2) 10 /

(3) 1 / (4) 11 /


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Kota/01CT314069H-4/32

Target : JEE (Main) 2015/01-04-2015


8. I 1 = 5 () p

1

2 = 5 () (p + p /6)

2 1

A

1 2

A, :-

1

2

A

(1) 5 2 3+ (2) 5 3 /2

(3) 5 (4) 5 2

9. A 10 M l.

,

60

.

(l)

?

(1) 0 (2) 2 (3) (4) 12

8. ;fn 1 = 5 () p lzks r

1 ds nks yu dh lehdj.k

rFkk 2 = 5 () (p + p /6) lzks r

2 ds nks yu dh

lehdj.k gS rFkk vuqizLFk rjaxks a dks lzks rks a 1 rFkk

2 ls

fcUnq A rd igqapus esa Øe'k 1 ls d.M rFkk ls d.M

dk le yxrk gS rks fcUnq A ij ifj.kkeh vk;ke gks xk

1

2

A

(1) 5 2 3+ (2) 5 3 /2

(3) 5 (4) 5 2

9. ,d 10 M n zO;eku dk xk syd l yEckb Z dh vforkU jLlh kj k yVdk gqvk gSA tc xk syd

lkE;koLFkk es a fojkekoLFkk esa gS rks nzO;eku okys

nks d.k jLlh ls 60 dk dks.k cukrs gq osx ls

xksyd ls Vdjkrs gS a rFkk d lkFk blls fpid tkrs

gS aA VDdj ds n kSjku jLlh esa mRiUu vkosxh ruko l

dk eku D;k gksx k\

(1) 0 (2) 2 (3) (4) 12


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H-5/32Kota/01CT314069


10. A

0.

.

\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\

a

9 0

M

() ,

() M ,

() (M + ) ,

() (M + ) ,

?

(1) () (2) () () (3) () (4) () ()

11. A

30 . M

. I ,

,

:-

30°

(1)1

2 (2)

3

2 (3) 2 (4) 3

10. ,d nzO;eku dh xs an os t ds qds gq Qyd ls 0

pky ls yEcor~ i ls Vdjkrh gSA g os t VDdj ls igys kqjnjh kS frt lrg ij fojkekoLFkk es a j[kk gSA VDdj ds fy laos x laj{k.k fu;e ykxw gks rk gS

\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\

a

9 0

M

() ,d fudk ds i es a ds fy ds vuqfn'k

() ,d fudk ds i es a M ds fy ds vuqfn'k

() ,d fudk ds i es a (M+) ds fy ds vuq fn'k

() ,d fudk ds i es a (M+) ds fy ds vuq fn'k

fuEu es a ls dkS ulk fodYi lR gS\

(1) dsoy () (2) ds oy () o ()(3) dsoy () (4) ds oy () o ()

11. ,d NksVh pdrh fdlh 30 dks .k okys k"kZ.kjfgr ur

ry ij d Mks jh dh lgk;rk ls fp=kuqlkj o`Ùkkdkj iFk

es a xfr djrh gS aA pdrh dk nzO;eku o xq:Roh Roj.k

gSA tc Mks jh kS frt gS ml le pdrh dks fojkekoLFkk

ls NksM+us ij fuEure fcUnq ij Mks jh es a ruko gks xk

30°

(1)1

2 (2)

3

2 (3) 2 (4) 3


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Kota/01CT314069H-6/32

Target : JEE (Main) 2015/01-04-2015


12. A 100 B ,

A 5

.

2 /.

,

.

?

A

(1) 2 N (2) 3 N (3) 4 N (4) 5 N

13. A L1

A . A

L2

. A M

. I 1

2

, :

(1)( )

( )1 2

1 2 2 1

A

2 L L

é ùë ûé ù+ë û

(2)( )

( )

1 2

1/ 2

1 2

A

L L

é ùë û+

(3)( )

( )1 2

1 2 2 1

A

L L

é ùë û+ (4)

( )

( )

1/ 2

1 2

1/ 2

1 2

A

L L+

12. ,d 100 dh Nks Vh oy B Å/okZ/kj ry es a fLFkr d

fpdus o`Ùkkdkj n` rkj Ýs e A, ftldh f=T;k 5 gS

ij fQly ldrh gSA g rkj Ýs e Å/oZ O;kl ds lkis{k

2 / dh dks .kh pky ls kw.kZu dj jgk gSA oy B

dks rkj Ýs e ds U;wure rFkk mPpre fcUnq ds vfrfjDr fdlh d dks .kh fLFkfr ij ykdj Nk s M+us ij g ugha

fQlyrh gSA bl fLFkfr es a oy B rFkk rkj Ýs e ds chp

vU;ksU cy dk ifjek.k fdruk gksxk\

A

B

(1) 2 N (2) 3 N (3) 4 N (4) 5 N

13. yEckbZ L1 rFkk vuq izLFk dkV ks=Qy A okys d èkkfRod

rkj dks ǹ vk/kkj ls tksM fn;k tkrk gSA bl rkj ds eqä fljs ls L

2 yEckbZ rFkk leku vuq izLFk dkV ks=Qy okys

,d vU kkfRod rkj dks tks M ns rs gS aA vc bl nwljs rkj ds eqä fljs ls M æO;eku dk d fi.M yVdk fn;k tkrk gSA fn bu rkjksa ds ax izR;kLFkrk xq.kka d Øe'k

1

o 2 gks rks nksuks a rkjks a ls cus fudk ds izHkkoh cy fu;rkad

dk eku gks xk

(1)( )

( )1 2

1 2 2 1

A

2 L L

é ùë ûé ù+ë û

(2)( )

( )

1 2

1/ 2

1 2

A

L L

é ùë û+

(3)( )

( )1 2

1 2 2 1

A

L L

é ùë û+ (4)

( )

( )

1/ 2

1 2

1/ 2

1 2

A

L L+


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H-7/32Kota/01CT314069


14.

6 H

44% .

H 20%,

:-

(1) 2 (2) 4 (3) 5 (4) 10

15. A

. A

, .

I ,

()

M ( )

:-

M

H

Ring

curved

m

(1) = 2gH (2) < 2gH

(3) > 2gH (4) D

16. I H2 , P2 = .

(1) 2/3 (2) 0.4 (3) 0.4 (4) 1.5

14. ;fn lks uksehVj rkj dh yEckbZ dks fu;r j[krs gq blds

ruko es a 44% o` f¼ dh tkrh gS rks bl rkj dh ew y vko` fÙk

es a 6H dh o`f¼ gks rh gSA rkj ds ewy ruko dks fu;r

j[krs gq tc rkj dh yEckbZ esa 20% o`f¼ dh tkrh gS rks

lksuksehVj rkj dh ewy vko`fr esa ifjorZu (H es a

gksxk

(1) 2 (2) 4 (3) 5 (4) 10

15. nzO;eku okyh oy fp=kuqlkj nzO;ekughu oØh

NM ds vuqfn'k eqDr i ls fQly ldrh gSA fuEure

fcUnq ij oØh iFk ÅèokZèkj gks tkrk gSA fn laiw.kZ

fudk dks fojkekoLFkk ls Nk s M+k tk;s rks CykWd M dks

Li'kZ djus ls Bhd igys fuEure fcUnq ij oy dk os x

() gks xk lHkh lrgs a fpduh gS

M

H

Ring

curved

m

(1) = 2gH (2) < 2gH

(3) > 2gH (4) vkadM+s vi;kZIr gS a

16. H2 xS l ds fy fd x izØe P2 = fu;rkad es a xS l

}kjk fd x,s dk;Z rFkk bldh vkUrfjd ÅtkZ es a ifjorZu

dk vuqikr gks xk (1) 2/3 (2) 0.4 (3) 0.4 (4) 1.5


9/33

Kota/01CT314069H-8/32

Target : JEE (Main) 2015/01-04-2015


17. O P ,

AB CD. I

AB

CD

1 /2?

(1) 1/2 (2) 1 (3) 2 (4) 4

18. A

. q :-A

pq

(1) 0 (2) 90

(3) 12 (4) 1 2

19. 100 /

= 3 + .F A

(3, 1) & B (1, 3)

(1) 100 (2) 200 2

(3) 200 (4) 0

17. fdlh vkn'kZ xS l ds nks eks yksa ij fd;s x;s izØeks a AB o

CD dks P vkjs[k ij n'kkZ;k x;k gSA fn izØe AB es a

xS l kjk fd;k x;k dk;Z izØe CD dh rqyuk es a nks xquk

gks rks 1 /2 dk eku gks xk

(1) 1/2 (2) 1 (3) 2 (4) 4

18. fp es a f kzq o ds dkj.k fcUnq A ij fo|qr ks ds

yEcor~ gSA dks .k q gks xk :-

A p

q

(1) 0 (2) 90

(3) 12 (4) 1 2

19. lef"V es a 100 / ifjek.k dk le:i fo|qr ks js[kk

= 3 + ds vuqfn'k fo|eku gSA fcUnq A (3, 1) o B(1, 3) ds e foHkokUrj gks xk

(1) 100 (2) 200 2

(3) 200 (4) 0


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H-9/32Kota/01CT314069


20. A G

0.50 .

25 . A

R.

2.0 A .

R :

(1) 0.25 W (2) 2.5 W

(3) 0.45 W (4) 0.1 W

21. I K1 .

C 1.N

C 2. 1 /2

C

K 1R =21 W

R =32 WE

(1) 5/3 (2) 3/5

(3) 1 (4) 2/3

20. tc 0.50 dk foHkokUrj yxk;k tkrk gS rks d

xs Yos uks ehVj G iw.kZ fo{ksi n'kkZrk gSA xsYosuksehVj dk

vkarfjd izfrjks/k dk eku 25 gSA xs Yos uks ehVj

rFkk d vfrfjä izfrjks/k R dh lgk;rk ls d vehVj dk fuekZ.k fd;k tkrk gSA g vehVj 2.0 A ds iz s{k.k

ysus ij iw.kZ fo{ksi n'kkZrk gSA izfrjksèk R dk eku yxHkx

gS

(1) 0.25 W (2) 2.5 W

(3) 0.45 W (4) 0.1 W

21. fp esa iznf'kZ r ifjiFk es a dq ath K1 [kq yh gSA LFkk;h voLFkk

es a la/kkfj C ij vkos'k 1 gSA vc dqath dks can dj ns rs gS a rFkk C ij LFkk;h voLFkk vkos 'k dk eku 2 iz kIr gks rk

gSA vkos 'kks a dk vuq ikr 1 /2 gks xk

C

K 1R =21 W

R =32 WE

(1) 5/3 (2) 3/5

(3) 1 (4) 2/3


11/33


12/33


H-11/32Kota/01CT314069


24.

:-

V

t3T2

T2

T0

V0

–V0

(1) 0,

0(2)

00

,

2

(3)0 03 ,

2 2(4)

0 0 ,4 2

25.

l, 5

0.

3l, 0.

:

(1)

6l(2)

5l

(3)

4l(4)

2

4l

24. fp es a iznf'kZr izR;korhZ oks YVrk dk vk/ks pØ ds fy;s

ek rFkk oxZ ek ewy eku Øe'k gks xk

V

t3T2

T2

T0

V0

–V0

(1) 0,

0(2)

00

,

2

(3)0 0

3 ,

2 2(4)

0 0

,4 2

25. tc d kkf Rod i `"B dks l rjaxnS Z okys do.khZ

izdk'k l s izdkf'kr fd;k tkrk gS rks fujks/kh foHko dk

eku 5

0 gksr k gSA blh i`"B dks 3l rjaxnS Z oky s

izdk'k ls izdkf'kr djus ij fujks/kh foHko 0 izk Ir

gksrk g SA kkfRod i`"B dk dk;ZQyu gksxk

(1)

6l(2)

5l

(3)

4l(4)

2

4l


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Kota/01CT314069H-12/32

Target : JEE (Main) 2015/01-04-2015


26. A

( ).

800 . O .

: = 1240 -,

= 13.6 .

(1) 5 (2) 4

(3) 3 (4) 2

27. , l ,

. I

(1) l (2)2

l

(3)2

l(4)

3

l

28. A AB

A D

BC

w

. A

w. I I

(A, B, C D),

(1)2

A

1

2I w (2)

2

B

1

2I w (3)

2

C

1

2I w (4)

2

D

1

2I w

26. gkbMªks tu ijek.kq dk d uewuk ( lHkh ijek.kq ) mÙks ftr voLFkk es a gSA bl uewus ls mRlftZr QkWVks ukas dks d s ls

fQYVj ls xqtkjk tkrk gS ftlls 800 ls vfèkd rjaxnS Z okyk izdk'k gh xqtj ldrk gSA gk¡ ds oy d

izdkj ds QkWVks u gh bl fQYVj ls xqtj ikrs gS aA bl uewus dh izkjfEHkd mRrs ftr voLFkk gS = 1240 - gkbMª ks tu ijek.kq dh ewy voLFkk

dh ÅtkZ = 13.6 .

(1) 5 mRrs ftr voLFkk (2) 4 mRrs ftr voLFkk

(3) 3 mRrs ftr voLFkk (4) 2 mRrs ftr voLFkk

27. izR;sd l yEckbZ okyh rhu d tS lh NM+ ks a dks tk sM+dj ,d n ̀ leckgq f=Hk qt cuk;k tkrk gSA bl f=Hkqt ds

ry ds yEcor~ rFkk blds fdlh d fljs ls xqtjus okyh v{k ds lkis{k bldh ifjHkze.k f=T;k gksxh

(1) l (2)2

l

(3)2

l(4)

3

l

28. ,d iryh NM AB nks fLFkj

A D

B

Cw

yEcor ~ lrgk sa ds e fQly jgh gSA fdlh k.k bldk dks .kh os x w gSA fn

I blds ry ds yEcor~ rFkk fcUnq

(A, B, C vFkok D) ls xqtjus okyh v{k ds

lkis{k NM ds tM+Ro vk?kw.kZ dks n'kkZrk gks rks NM dh xfrt ÅtkZ gks xh

(1)2

A

1

2I w (2)

2

B

1

2I w (3)

2

C

1

2I w (4)

2

D

1

2I w


14/33


H-13/32Kota/01CT314069


29. A 6l 8

.

2

2 ,

( .)

. (

, ) :-

2ll

(1)

22

5(2)

2

5(3)

23

5 (4) 2

30. A F

.

. I F

:-

F

(1) > 1 (2) <1

2(3) >

1

2(4) < 1

29. ,d dleku NM ftldh yEckbZ 6l vkS j nzO;eku

8 gS d fpduh kS frt Vs cy ij j[kh gqbZ gSA rFkk

2 nzO;eku ds nks d.k leku kS frt ry es a Øe'k 2

o pkyksa ls fp=kuqlkj NM ls yEcor~ Vdjkrs gS a vkS j NM ls fpid tkrs gS aA VDdj ds i'pkr~ nzO;eku ds Unz

ds lkis{k dqy ÅtkZ gks xh

2ll

(1)

22

5(2)

2

5(3)

23

5 (4) 2

30. ,d ku ds 'kh"kZ ij cy F dks fp=kuqlkj yxk;k tkrk

gSA bl ku rFkk kjkry ds e k"kZ.k xq.kkad gSA fn

F dk eku khjs khjs c k;k tk;s rks f[kldus ls igys g

?ku iyV tk;s xk rc dh ijkl gS :-

F

(1) > 1 (2) <1

2(3) >

1

2(4) < 1


15/33

Kota/01CT314069H-14/32

Target : JEE (Main) 2015/01-04-2015


PART B - CHEMISTRY

31. A

.

-(1) 8 (2) 2 (3) 4 (4) 6

32. CDG ( /)

C2() 2C(),

50% 1000 K

15 ( 20 = 2.99)

(1) 2.6 (2) 5.99 (3) 2.01 (4) 4.56

33. A+

C

4 105 M 105M 100 , K

AC 1010M2 25C

(1) 4 105 (2) 2 105

(3) 3 106 (4) 4 106

34. C -

(1) A

(2) O

(3)

,

(4) R .

31. ,d kuh bdkbZ dks f"Bdk es a eS axuht vk;u dks uks a ij

rFkk ¶yks jkbM vk;u izR;s d fdukjs ds ds Unz ij fLFkr gSA

eS axuht vk;u dh leUo la k D;k gksxh\(1) 8 (2) 2 (3) 4 (4) 6

32. C2() 2C() ds fo;k stu ds fy

DG (/ es a) dh x.kuk dhft;s fn lkE ij

1000K rF kk 15 ds nkc ij Dyk sj hu v.k q

50% fo;ks ftr gks rs gks a ( 20 = 2.99)

(1) 2.6 (2) 5.99 (3) 2.01 (4) 4.56

33. ;fn 25C ij AC ds fy K

= 1010M2 gS rks

A+ ds eks y tks 100 foy;u esa mifLFkr C dh

lkUnzrk dks 4105M ls 105M rd kVkus ds fy

feyk;k tkuk pkgh;sA

(1) 4 105 (2) 2 105

(3) 3 106 (4) 4 106

34. xyr dFku dk p;u dhft;sA

(1) vfHkfØ;k dh lfØ k ÅtkZ rki kVkus ij kVrh gS

(2) rki esa ifjorZu ds lkFk vfHkfØ;k dh dksfV esa

ifjorZu gks ldrk gS

(3) tc d fØ;kfof/k es a izFke in lcls khek in gS rc lEiw.kZ vfHkfØ;k dk nj fu;e bl in

ds fy nj fu;e ds leku gks rk gS

(4) izdk'k jklk;fud vfHkfØ;kvk s a dh nj Qks Vks uks dh

rhozrk ds lh/ks lekuqikrh gks rh gS


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35.

:

N2H

5+ + NH

3 NH

4+ + N

2H

4

NH3 + HB NH4

+ + B–

N2H4 + HB N2H5+ + B–

B ,

-

(1) HB > N2H

5+ > NH

4+

(2) N2H

5+ > N

2H

4 > NH

4+

(3) NH3 > N

2H

4 > B

–

(4) N2H

5+ > HB > NH

4+

36. B

, C6H

14 , C

7H

16 80C.

.

B 69C

& 98C -

(1) G 98C

(2) G 80C

(3) B 69C 80C

(4) B 69C

37. G 153,

( ), 242 .

G 153

2 -

(1) 33 % (2) 26 %

(3) 12.0 % (4) 6.25 %

35. fuEu vfHkfØ;kvk as esa ls izR;sd es a nk;h a vks j lkE

fLFkr gSN

2H

5+ + NH

3 NH

4+ + N

2H

4

NH3 + HB NH

4+ + B

–

N2H4 + HB N2H5+ + B–

bl lq puk ds vk/kkj ij vEyh lkeF;Z dk Øe D;k gS-

(1) HB > N2H

5+ > NH

4+

(2) N2H

5+ > N

2H

4 > NH

4+

(3) NH3 > N

2H

4 > B

–

(4) N2H

5+ > HB > NH

4+

36. gS Dls u C6H

14, gS IVs u rFkk C

7H

16 ds leeks yj vkn'kZ

foy;u dk DoFkukad 80C gSA gS Dls u rFkk gS IVs u nks uks a

ds leku nzO;eku okys feJ.k dk DoFkukad D;k gksxkA

gS Dls u rFkk gS IVs u ds DoFkuka d Øe'k 69C rFkk 98C gS

(1) 98C ls vf/kd

(2) 80C ls vf/kd

(3) 69C rFkk 80C ds e

(4) 69C ls de gS

37. xS Mks yhuh;e 153, ftldk mi;ks x vks LVh;ks Qks jks fll

(fNfnzr gfM~M;ksa nks"k ds fy gks rk gS fd v/kZ vk;q 242 fnu gSA 2 o"kks Z ds i'pkr~ jks xh ds 'kjhj esa 'ks "k

G 153 dk fudVre izfr'kr eku gS -

(1) 33 % (2) 26 %

(3) 12.0 % (4) 6.25 %


17/33

Kota/01CT314069H-16/32

Target : JEE (Main) 2015/01-04-2015


38.

C3+ /C2O

7 25C

H 1 3

(A : C2O7 & C3+ )

:2.303RT

0.06F

=

(1) 0.21 (2) 0.28

(3) 0.14 (4) N

39.

(2 ®

1) H-,

(2

1) -

(1) 4 ® 1 (2) 5 ® 4

(3) 6 ® 5 (4) 4 ® 2

40. A 1 750K

0.3 /. I . A 27

-

(1) A

(2)A - +

(3 A -

(4) A

750K.

38. 25C ij C3+ /C2O

7 byS DVªks M ds oS |qr vi?kV~

foy;u dh H es a 1 ls 3 rd ifjorZu ds dkj.k byS DVªksM

foHko es a fdruk ifjorZu gks xk

(eku fyft;s: C2O7 & C3+ fu;r jgrs gS

fn;k gS :2.303RT

0.06F

=

(1) 0.21 (2) 0.28

(3) 0.14 (4) dks bZ ifjorZ u ugha

39. H- ijek.kq es a fuEu byS DVªkWu laØe.k (2 ®

1) es a ls

dkS ulk bldh d{kk dh f=T;k (2

1) esa U;wure

ifjorZu izs{khr gks xk -

(1) 4 ® 1 (2) 5 ® 4

(3) 6 ® 5 (4) 4 ® 2

40. ,d x Sl A dk kuRo 1 rF kk 750K ij

0.3 / gS fn A dk vkf.od Hkkj 27 gS rks

lgh dFku dk p;u dhft

(1) A vkn'kZ O;ogkj iznf'kZr djrk gS(2) A /kukRed fopyu ds lkFk vu&vkn'kZ O;ogkj

iznf'kZr djrk gS(3) A ½.kkRed fopyu ds lkFk vu&vkn'kZ O;ogkj

iznf'kZr djrk gS(4) A dks 750K ij nkc yxkdj nzohr fd;k tk

ldrk gS


18/33


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41.

CORRECT :

(I)

(II)

(III) A

(1) O I III (2) O II III

(3) O I II (4) I, II III

42. A + 2C ® B

A PC

+

4 B PC6

INCORRECT :

(I) B A

-

(II) A B - PC

(III) N A B

(I) B L -

(1) O I, II III (2) O II III

(3) O III I (4) I, III I

41. fuEu es a ls dkS ulk dFku lgh

gS :

(I) tc leHka z'k leqPp es a d{kdks a dh miyC/krk gks

rks vf/kdre pØ.k cgqyrk izsf{kr dh tkrh gS

(II) tc nks bysDVªkWu leku dks 'k es a mifLFkr gS a rks mudk pØ.k leku gks ldrk gS

(III) lHkh mRd`"V xS lks a ds la;ksth dks 'k dk bysDVªkWfu

foU;kl leku ugha gks ldrk gS

(1) ds oy I rFkk III (2) ds oy II rFkk III

(3) ds oy I rFkk II (4) I, II rFkk III

42. A + 2C ® B

tgk¡ A, PC+

4

gS rFkk B, PC6

gS

fuEu es a ls dkS ulk dFku xyr

gS :

(I) B ls A esa ifjor Zu ij ladj.k esa lfEefyr

- d{kdks a dh la k c rh gS

(II) A ls B es a ifjorZu ij PC ca/k es a - y{k.k

dh izfr'kr~rk c rh gS

(III) A rFkk B es a lgla;kstd ca/kksa dh la k leku

gS

(I) B, yqbZl vEy kkj vU;k sU fØ;k dk mRikn gS tks ds oy lqij v"Vd v.kq ls lEcfU/kr gS

(1) ds oy I, II rFkk III (2) ds oy II rFkk III

(3) dsoy III rFkk I (4) I, III rFkk I


19/33

Kota/01CT314069H-18/32

Target : JEE (Main) 2015/01-04-2015


43.

O2

O (excess)2

'X'

'Y'

P4

D PO (S )

:

(1) < (2) >

(3) = (4) C

44. C

:

(1) C(CN6)4 (2) N()

3 C

2

(3) S(H2O)63+ (4) (H2O)62+

45. (NH4)

2C

2O

7 :

(1) N2O (2) NH

3

(3) NO2

(4) N2

46. HgI2 ppt.

D HgI2Cooling

HgI2

'X''Y' 'Z'

On rubbing

Sublimation

(1) ® , ® R, ®

(2) ® R, ® , ® R

(3) ® R, ® , ®

(4) ® , ® R, ® R

43.

O2

O ( )2 vkf/kD

'X'

'Y'

P4

fn;s x;s kS fxd rFkk es a PO

( ,dy ca/k yEckbZ )

dk Øe gS :

(1) < (2) >

(3) = (4) vuqeku ugha yxk ldrs

44. la dq y ftlds d{kd ds leq Pp es a v;q fXer bys DVªkWuks a

dh vf/kdre la k mifLFkr gS gS :

(1) C(CN6)4 (2) N()

3 C

2

(3) S(H2O)

63+ (4) (H

2O)

62+

45. (NH4)

2C

2O

7 xeZ djus ij ns rk gS :

(1) N2O (2) NH

3

(3) NO2

(4) N2

46. HgI2vo{ks i

D HgI2 B.Mk

djus ij HgI2

'X''Y' 'Z'

jxM+ us ij

Å/oZikru

(1) ® ihyk , ® yky , ® ihyk

(2) ® yky , ® ihyk , ® yky

(3) ® yky , ® ihyk , ® ihyk

(4) ® ihyk , ® yky , ® yky


20/33


H-19/32Kota/01CT314069


47. 2N2O

400C A + 2N

A + SO2 ® N

2SO

4

A + CO ® N2CO

3

I A :

(1) NO2

(2) N2O

2

(3) NOH (4) N2O

3

48.

INCORRECT :

(1) H2I

2 ® G

(2) A2CO

4 ® B

(3) BI3 ® O

(4) BCO4 ®

49. I ,

:

(1) S (2) G

(3) M C (4) CO

50. D

:

(1) , C, A, A (2) , A

(3) C, A (4) A

47. 2N2O

400C A + 2N

A + SO2 ® N

2SO

4

A + CO ® N2CO

3

mijks Dr vfHkfØ;k es a A gS :

(1) NO2

(2) N2O

2

(3) NOH (4) N2O

3

48. fuEu es a ls dkS ulk feyku xyr gS :

(1) H2I

2 ® gjk

(2) A2CO

4 ® bZV tS lk yky

(3) BI3 ® ukjaxh

(4) BCO4 ® ihyk

49. vk;ju ds kkrqdehZ izØe es a tc okR;k HkV~Vh es a ykbe

LVksu feyk;k tkrk gS rks dS fY'k;e vk;u cukrs gS a\

(1) /kkrqey (2) xS ax (G)

(3) /kkfRod C (4) CO

50. flYoj ds oS |qr vi?kVuh 'kqf¼dj.k ds nkS jku uks M

eM es a mifLFkr gks rs gS a :

(1) , C, A, A (2) , A

(3) C, A (4) A


21/33

Kota/01CT314069H-20/32

Target : JEE (Main) 2015/01-04-2015


51.

OEt

(i)Cl

O

(ii) KMnO4

(iii) MeOH/H /+

/ AlCl3 P ;

P :

(1)

OEt

OMe

(2)

OEt

COOH

(3)

CO Me2

OEt

(4)

COOH

OEt

52. O , &

1, 2-

.

:

(1) E (2) D

(3) M (4) C

51.

OEt

(i)Cl

O

(ii) KMnO4

(iii) MeOH/H /+

/ AlCl3

mRikn ;

mRikn gS

(1)

OEt

OMe

(2)

OEt

COOH

(3)

CO Me2

OEt

(4)

COOH

OEt

52. vU xzg twfiVj ij 1, 2- MkbZDyks jks ,sFks u ds xkWp rFkk

izfr i te tkrs gS a vkS j dy cU/k kw.kZu d tkrk

gSA bu ifjfLFkfr;ksa es a bu nksuksa iksa dks fdl izdkj ekuk

tk ldrk gS

(1) izfrfcEc:i leko;oh (2) foofje leko;oh

(3) ehlks kS fxd (4) Jà[kyk leko;oh


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53.

Br

ClCl

A ?

(1) () HB ; () C2

(2) () C2 ; () NBS

(3) () NBS ; () C2

(4) () C2

; () BC / CC4

54.

NO2

Br

F

F

CH SH3 (A)

M :

(1)

NO2

SCH3F

F

(2)

NO2

SCH3

Br F

(3)

NO2

CH3S Br

F

(4)

NO2

F Br

F

SCH3

53.

Br

ClCl

mijks Dr ikUrj.k dks fuEu es a ls fdlds kjk djk;k tk

ldrk gS

(1) () HB ; () C2

(2) () C2 ; () NBS

(3) () NBS ; () C2

(4) () C2

; () BC / CC4

54.

NO2

Br

F

F

CH SH3

(A)

mijksDr vfHkfØ;k ds fy;s eq mRikn gS

(1)

NO2

SCH3F

F

(2)

NO2

SCH3

Br F

(3)

NO2

CH3S Br

F

(4)

NO2

F Br

F

SCH3


23/33

Kota/01CT314069H-22/32

Target : JEE (Main) 2015/01-04-2015


55.

OH

OH

HIO4 (A) NaOH (B)

P "B" :

(1)

OH

(2)

OH

O

(3) C H –

O

(4) O

56. ()

:

CH OH2

O O O

O

HO

HHOH H

H

O

CH OH2H

C H O H 2

HO

HCH OH2

HOH H

OHHOH H

H OHH

OHOH HO

H

OH

(X)(Y)

C H O H 2

OH HH HO

(1) B () & () -

(2) () & ()

(3) () & ()

(4) B () & ()

55.

OH

OH

HIO4 (A) NaOH (B)

mRikn "B" gS

(1)

OH

(2)

OH

O

(3) C H –

O

(4) O

56. fuEu 'kdZjk rFkk ds ckjs es a lgh dFku gS

CH OH2

O O O

O

HO

HHOH H

H

O

CH OH2H

C H O H 2

HO

HCH OH2

HOH H

OHHOH H

H OHH

OHOH HO

H

OH

(X)(Y)

C H O H 2

OH HH HO

(1) () rFkk () nksuksa vuvipk;d 'kdZjk gS

(2) () vuvipk;d 'kdZjk rFkk () vipk;d

'kdZjk gS

(3) () vipk;d 'kdZjk rFkk () vuvipk;d

'kdZjk gS

(4) () rFkk () nksuksa vipk;d 'kdZjk gS


24/33


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57.

H

H

(i) O3(ii) (CH ) S3 2

(A) (Ph) P=CH3 2 (B)

P B :

(1)

H

CH2 (2) CH2

H

(3) (4) B (1) & (2)

58.

?

(K1 = 2 ; K

2 = 3.90 ; K

3 = 10.0)

HOOC–CH —CH—COOH2

NH2

(1) H = 1 ;

(+)

(2) H = 2.45

(3) H = 7.0 ;

(4) H = 9.0 ;

()

57.

H

H

(i) O3(ii) (CH ) S3 2

(A) (Ph) P=CH3 2 (B)

mRikn B gks uk pkfg;s

(1)

H

CH2 (2) CH2

H

(3) (4) (1) rFkk (2) nks uks a

58. fuEu es a ls dkS ulk dFku oS |qr d.k lapyu ds nkS jku

,LikfVZd vEy ds vfHkxeu O;ogkj dks lgh i ls

iznf'kZr djrk gS

(K1 = 2 ; K

2 = 3.90 ; K

3 = 10.0)

HOOC–CH —CH—COOH2

NH2

(1) H = 1 ij ; ,LikfVZd vEy (+) bys DVª kWM dh rjQ

vfHkxeu djrk gS

(2) H = 2.45 ij LikfVZd vEy fdlh Hkh bysDVªkWM

dh rjQ dqy vfHkxeu ugha n'kkZrk gS(3) H = 7.0 ij ; ,LikfVZd vEy fdlh Hkh bysDVªkWM

dh rjQ dqy vfHkxeu ugha n'kkZrk gS

(4) H = 9.0 ij ; ,LikfVZD vEy () bysDVªkWM dh

rjQ dqy vfHkxeu n'kkZrk gS


25/33


26/33


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PART C - MATHEMATICS

61. 12 + 5 = 9, , Î , 2 + 2 -

(1)31

9(2)

169

81(3)

81

169(4)

9

13

62.x

secx (1 tan x)dx(x) C

(e sec x)-+

= ++ò ,

(0) = l2, ƒ4

pæ öç ÷è ø

-

(1) 4n 1 e 2

pæ ö+ç ÷

è øl (2) n( 2 )l

(3) ( )n 2 2l (4)4e

n 12

p

æ öç ÷+ç ÷ç ÷è ø

l

63.

3 92 + a 15 = 0 A.., a -

(1) 0 (2) 20 (3) 21 (4) 23

64.

3(1!) 4(2!) + 5(3!) 6(4!) ...... 2008(2006)!

+ (2007)! -

(1) 2007 (2) 1 (3) 1 (4) 2007

65. A, B, C (A Ç B)= (B Ç C) = (C Ç A) = (A Ç B Ç C) = 2, ((A B) Ç (B C)) -

(1) 0 (2) 1 (3) 2 (4) 4

61. ;fn 12 + 5 = 9, tgk¡ , Î gks rks 2 + 2 dk U;wure eku gks xk -

(1)31

9(2)

169

81(3)

81

169(4)

9

13

62.x

sec x(1 tan x)dx(x) C

(e sec x)-+

= ++ò ,

tgk¡ (0) = l2 gks rks ƒ4

pæ öç ÷è ø

gksxk -

(1) 4n 1 e 2pæ ö

+ç ÷è ø

l (2) n( 2 )l

(3) ( )n 2 2l (4)4e

n 12

p

æ öç ÷+ç ÷ç ÷è ø

l

63. ;fn lehdj.k 3 92 + a 15 = 0 ds ew y lekUrj Js .kh es a gks rks a gksxk -

(1) 0 (2) 20 (3) 21 (4) 23

64. O;atd 3(1!) 4(2!) + 5(3!) 6(4!) ......

2008(2006)! + (2007)! dk eku gks xk -

(1) 2007 (2) 1 (3) 1 (4) 2007

65. ekuk A,B,C rhu leqPp bl izdkj gS fd (A Ç B)= (B Ç C) = (C Ç A)= (A Ç B Ç C) = 2 gks

rks ((A B) Ç (B C)) cjkcj gks xk -

(1) 0 (2) 1 (3) 2 (4) 4


27/33

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Target : JEE (Main) 2015/01-04-2015


66.

4

2

x

t

9x

(x) 5 dt= ò ,

h 0

(3 h) ƒ(3 h)lim

h®

+ - - -

(1) 0 (2) 108(59) (3) 55 (4) 54(58)

67. a1, a

2 a

2a + = 5, 6 = a + = 2

, 2(a1 + a

2) -

(1) 21 (2) 23 (3) 25 (4) 27

68. () = + , () -

(1)

(2)

(3) = 0

(4) = 1.

69. a, b

a2 + b2 = 5 3(a5 + b5) = 11(a3 + b3),

ab -

(1) 2 (2) 1 (3) 7 (4) 9

70. (1 + )(1 + +

2

)(1 + +

2

+

3

) ......(1 + + 2 + ..... + 30) =

0 +

1 +

22 .....

+ 465

465, 0 +

2 +

4 + ......... +

-

(1) (31)! (2)(31)!

2(3) (30)! (4)

(60)!

2

66. ;fn 4

2

x

t

9x

(x) 5 dt= ò gks rks h 0(3 h) ƒ(3 h)

limh®

+ - -

cjkcj gks xk -

(1) 0 (2) 108(59) (3) 55 (4) 54(58)

67. ekuk a ds nk s eku a1, a

2 ftlds fy fudk

2a + = 5, 6 = a rFkk + = 2 laxr gks rks

2(a1 + a

2) dk eku gks xk -

(1) 21 (2) 23 (3) 25 (4) 27

68. ekuk () = + gks rks () gksxk -

(1) lnS o o/kZeku

(2) lnS o Îkleku

(3) = 0 ij vodyuh ugha

(4) = 1 ij LFkkuh mfPp"B

69. ;fn a, b nks okLrfod la k;sa gS tks a2 + b2 = 5 rFkk

3(a5 + b5) = 11(a3 + b3) dks lUrq"V djrh gS rks ab dk eku gks xk -

(1) 2 (2) 1 (3) 7 (4) 9

70.

ekuk (1 + )(1 + + 2

)(1 + +

2

+

3

) ......(1 + + 2 + ..... + 30) =

0 +

1 +

22 .....

+ 465

465 gks rks 0 +

2 +

4 + ...... + dk ks xQy

gksxk -

(1) (31)! (2)(31)!

2(3) (30)! (4)

(60)!

2


28/33


H-27/32Kota/01CT314069


71. xdy (sin y e )

dx ( ny x cos y)

+=

-l -

(1) ((l) 1)) = + + C

(2) l = + C

(3) (l + 1) = + C

(4) l = + C

72.

cos

sin

(x tan )dxq

q

qò (n

, n I2

pq ¹ Î )

(1)tan

1

cos ƒ(x sin )dx

q

- q qò

(2)

cos

sin

tan ƒ(x)dx

q

q

- q ò

(3)

tan

0

sin ƒ(x cos )dxq

q qò

(4)

sin tan

sin

cot ƒ(x)dxq q

q

q ò

73. µx

100xx

(e 5)lim

(e 7)®¥

++

,

-

(1) 5051 (2) 50

(3) 4950 (4) 5050

74. 80C40

-

(1) 7 (2) 23 (3) 11 (4) 29

71. vody lehdj.k xdy (sin y e )

dx ( ny x cos y)

+=

-l dk gy gks xk -

(1) y((l) 1)) = + + C

(2) l = + C

(3) (l + 1) = + C

(4) l = + C

72.

cos

sin

(x tan )dx

q

q

qò gksxk ( tgk¡ n

, n I2

pq ¹ Î )

(1)tan

1

cos ƒ(x sin )dx

q

- q qò

(2)

cos

sin

tan ƒ(x)dx

q

q

- q ò

(3)

tan

0

sin ƒ(x cos )dxq

q qò

(4)

sin tan

sin

cot ƒ(x)dxq q

q

q ò

73. ;fn µx

100xx

(e 5)lim

(e 7)®¥

++

fo|eku gks rks ds lHkh lEHko

/kukRed iw.kk±d ekuksa dk ksxQy gks xk -(1) 5051 (2) 50

(3) 4950 (4) 5050

74. 80C40

fuEu ls foHkkftr ugha gks xk -

(1) 7 (2) 23 (3) 11 (4) 29


29/33

Kota/01CT314069H-28/32

Target : JEE (Main) 2015/01-04-2015


75. 1,

2,

3

3 2(4 + 3) + (3 + 8) 5 = 0,

(1) + (

2) + (

3) -

(1) 0 (2) 1 (3) 3 (4) 4

76.

( A & B )

(1) A B = A Ç B

(2) A B = A (A Ç B)

(3) A B = A B

(4) A B = (A È B) B

77. &

( )

1, 2, 3, ......, 1000.

4 4 5, -

(1)113

999(2)

400

999(3)

679

999(4)

1

999

78. 2() + () = 1 1

sin xx x

æ ö-ç ÷è ø

,

e

1/ e

(x)dxò -

(1) 0 (2) ( +p) (3) 1ee

+ (4) 2

79. ,, 1060,

2050 3040 ( È È ) -

(1) 70301 (2) 30701

(3) 73001 (4) 70031

75. ;fn 1,

2,

3 lehdj.k

3 2(4 + 3) + (3 + 8) 5 = 0 ds ew y gks

rks (1) + (

2) + (

3) dk eku gksxk -

(1) 0 (2) 1 (3) 3 (4) 4

76. fuEu es a ls dkS ulk dFku vlR gks xk ( tgk¡ A rFkk B nks vfjDr leqPp gS a)(1) A B = A Ç B(2) A B = A (A Ç B)

(3) A B = A B

(4) A B = (A È B) B

77. nks la kvks a rFkk dk leqPp 1, 2, 3, ......, 1000 ls fcuk iqujko`fÙk ds ;kn`PN;k p;u djrs gS rc

4

4

ds 5 ls foHkkftr gks us dh izkf;drk gks xh -

(1)113

999(2)

400

999(3)

679

999(4)

1

999

78. ekuk 2() + () = 1 1

sin xx x

æ ö-ç ÷è ø

gk s rk s

e

1/ e

(x)dxò gksxk -

(1) 0 (2) ( +p) (3) 1ee

+ (4) 2

79. 1060, 2050 rFkk 3040 ds lHkh kukRed Hkktdks a ds leqPp Øe'k ,, gks rks ( È È ) gksxk -(1) 70301 (2) 30701

(3) 73001 (4) 70031


30/33


H-29/32Kota/01CT314069


80. AB 24 C

. AB, AC CB

.

-

(1) 1 (2) 2 (3) 4 (4) 6

81. (3 + 2)

z iz= - -

(1) (2 3) (2) (2 3)

(3) (2 + 3) (4) ( + 5)

82. (q)

( ) ( ) 1 0q + q + = . (q) -

(1)1/ 4

1,

2

é ö¥÷êë ø(2) 1, 2é ùë û

(3) 1,¥) (4) 1/ 41

,12

é ùê úë û

83.

( )

( )

2

1

0

0

-

® -

ò -

(1) 0 (2) 2

(3) 2 (4)1

2

80. js [kk[k.M AB ftldh yEckbZ 24 gS rFkk C bldk

eè fcUnq gSA Hkqtk AB, AC rFkk CB ij d gh vks j

v¼Zo`Ùk cukrs gSA rc ml o`Ùk dh f=T;k tks lHkh rhuksa

v¼Zo`Ùkks a dks Li'kZ djrk gS gks xh -

(1) 1 (2) 2 (3) 4 (4) 6

81. lfEeJ la k (3 + 2) dk ljy js [kk z iz= - esa

ijkorZu gks xk -

(1) (2 3) (2) (2 3)

(3) (2 + 3) (4) ( + 5)

82. ekuk (q) js [kk ( ) ( ) 1 0q + q + = dh ewyfcUnq ls nwjh gSA rc (q) dk ifjlj gks xk -

(1)1/ 4

1,

2

é ö¥÷êë ø(2) 1, 2é ùë û

(3) 1,¥) (4) 1/ 41

,12

é ùê úë û

83.

( )

( )

2

1

0

0

-

® -ò gksxk -

(1) 0 (2) 2

(3) 2 (4)1

2


31/33

Kota/01CT314069H-30/32

Target : JEE (Main) 2015/01-04-2015


84.

(3 9)2 + 92 = ( )2

2 1+ + -

(1) ( )3 2 1- (2)( )+3 2 1

3

(3) ( )3 2 1+ (4)( )3 2 1

4 3

+

85. A q . b - 2b = 32q, 2q -

(1)

2

5 (2)

1

5 (3)

3

5 (4)

2

3

86. ABC

,

A = B. -

(1) 8 2A 8A + 1 = 0

(2) 4 2A 10A + 1 = 0

(3) 2A A 3 = 0

(4) 2A A 8 = 0

87. A, B, C

A + B + C = 0,

( ) A BC

3A 3B 3C+ +

( ) -

(1) 12 (2) 12 (3)1

12- (4)

1

12

84. nh?kZ o` Ùk (3 9)2 + 92 = ( )2

2 1+ + dh ukfHk;ks a

ds e nwjh gks xh -

(1) ( )3 2 1- (2)( )+3 2 1

3

(3) ( )3 2 1+ (4)( )3 2 1

4 3

+

85. ,d j s [kk rFkk v{k ds lkFk leku dks .k q cukrh

gSA fn -v{k ds lkFk dks.k b bl izdkj gS fd

2b = 32q gks rks 2q gksxk -

(1)2

5 (2)1

5 (3)3

5 (4)2

3

86. lef}ckgq f=Hkqt ABC dh ifjf=T;k bl f=Hkqt dh vUr%f=T;k dh pkj xq uk gS fn A = B gSA rc -

(1) 8 2A 8A + 1 = 0

(2) 4 2A 10A + 1 = 0

(3) 2A A 3 = 0

(4) 2A A 8 = 0

87. ekuk A, B, C rhu dks .k bl izdkj gS fd

A + B + C = 0 gks rks

( ) A B C

3A 3B 3C+ +

( tgk¡ dgha Hkh ifjHkkf"kr ) gksxk -

(1) 12 (2) 12 (3)1

12- (4)

1

12


32/33


H-31/32Kota/01CT314069


88.1

2 1

3

9

¥-

=

æ öç ÷- +è ø

å -

(1)3p (2)

6p

(3)2

p(4)

12

p

89. ( ) ( )( ) ( )( )

( )

3 2

5 2 100

3 2= + + + .

() .

-

(1) ()

(2) ()

(3) () ()

(4) () ()

90. A(2,3,4) B(3,4,2) C(4,2,3)

. A D

6 3

. ABCD -

(1) 1 (2) 3 (3) 13 (4) 2

88.1

2 1

3

9

¥-

=

æ öç ÷- +è ø

å gks xk -

(1)3p (2)

6p

(3)2

p(4)

12

p

89. ekuk ( ) ( )( ) ( )( )

( )

3 2

5 2 100

3 2= + + +

gSA tgk¡ () vodyuh Qyu gSA rc fuEu es a ls dkS ulk

lgh gksxk -

(1) () lnS o o/kZeku

(2) () lnS o Îkleku

(3) () ds Îkleku gks us ij () o/kZeku

(4) () ds Îkleku gks us ij () o/kZeku

90. ekuk lef"V esa rhu fcUnq A(2,3,4) B(3,4,2) rFkk

C(4,2,3) fn x gSA d fcUnq D lef"V es a bl izdkj gS fd bldh fn x rhuks a fcUnqvks a ls nwjh 6 bdkbZ gS

rc prq"Qyd ABCD dk vk;ru gks xk -

(1) 1 (2) 3 (3) 13 (4) 2


33/33

Target : JEE (Main) 2015/01-04-2015


SPACE FOR ROUGH WORK / Q dk;Z ds fy;s txg

allen test paper

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