HTET 2023 Question Paper Level 3 Mathematics

izFke 10 feuV esa vH;FkhZ viuh iz'u&iqfLrdk ds Øekad dk feyku vks-,e-
,e-vkj-
vkj- mÙkj i=d ds Øekad ls vo'; dj ysAa ;fn vks-,e-
,e-vkj-
vkj- mÙkj i=d o iz'u&iqfLrdk
ds Øekad fHkUu gSa ;k dksbZ i`"B missing ;k misprint gks rks dsUnz v/kh{kd ls fuosnu djds iz'u&iqfLrdk cny ysAa

Sub. Code No. – 1318 Level – 3
[ PGT – For Lecturer ]
Exam., 2023
SET – A MATHEMATICS iz'u&iqfLrdk Øekad ,oa vks-,e-vkj- Øekad
Question-Booklet Serial No. & O. M. R. Serial No.
bl iz'u&iqfLrdk esa i`"Bksa dh la[;k iz'uksa dh la[;k le;
No. of Pages in this Question Booklet – 48 No. of Questions – 150 Time – 2.30 hours

vuqØekad ¼vadksa es½a / Roll No. (In Figures) ...................................................................................................................................................................
vuqØekad ¼'kCnksa es½a / Roll No. (In Words) .....................................................................................................................................................................
ijh{kk dsUnz dk uke / Name of Examination Centre ........................................................................................................................................................
vH;FkhZ dk uke / Name of Candidate ..........................................................................................................................................................................
vH;FkhZ ds gLrk{kj / Signature of Candidate fujh{kd ds gLrk{kj / Signature of Invigilator

........................................................................... .........................................................................

vH;FkhZ dks 10 feuV dk le; iz'u& u&iqfLrdk
Lrdk ij Nis funs'Z kksa dks i<+us rFkk mÙkj i=d esa vius fooj.k Hkjus ds fy, fn;k tk,xkA ;fn iz'u&iqfLrdk o mÙkj i=d
dh Øe la[;k xyr vafdr gksa ;k dksbZ i`"B missing ;k misprint gks rks rqjUr dsUnz v/kh{kd ls fuosnu djds iz'u&iqfLrdk cny ysAa blds blds i'pkr~ dksbZ nkok
Lohdkj ugha fd;k tk,xkA bu 10 feuVksa ds vfrfjDr] iz'uksa ds mÙkj vafdr djus ds fy, iwjs 2.30 ?kaVs dk le; fn;k tk,xkA ;fn fdlh vH;FkhZ dks
iz'u&iq
u&iqfLrdk esa fn, x, fdlh Hkh iz'u eas dksbZ =qfV gksus dk langs gks rks blds fy, vH;fFkZ;kas dks ijh{kk lekfIr ds mijkUr izfrosnu nsus ds fy, volj fn;k
tk,xkA vr% vH;FkhZ fu/kkZfjr volj ds nkSjku bl lEcU/k eas viuk izfrosnu cksMZ dk;kZy; eas ntZ djok ldrs gSAa bl volj ds ckn] bl lEcU/k esa izkIr
izfrosnuksa ij dksbZ fopkj ugha fd;k tk,xkA
;fn fdlh iz'u esa fgUnh o vaxzsth ek/;e esa fHkUurk gS rks vaxtsz h ek/;e dk iz'u Bhd ekuk tk,xkA
If there is any variance between Hindi and English Version of any question then English Version would be considered correct.
vH;fFkZ;ksa ds fy, funs'Z k / Instructions for the Candidates :–
1. vks-,e-vkj- mÙkj i=d bl iz'u&iqfLrdk ds vUnj j[kk gSA tc vkidks iz'u&iqfLrdk i<+us dks dgk tk,] rks mÙkj i=d fudky dj /;ku ls dsoy dkys ckWy
IokbaV iSu ls fooj.k HkjsAa / The OMR Answer Sheet is inside this Question Booklet. When you are directed to read the Question Booklet, take
out the OMR Answer Sheet and fill in the particulars carefully with black ball point pen only.
2. ijh{kk dh vof/k 2.30 ?kaVs gS ,oa iz'u&iqfLrdk esa 150 iz'u gSAa dksbZ _.kkRed vadu ugha gSA / The test is of 2.30 hours duration and consists of
150 questions. There is no negative marking.
3. vius fooj.k vafdr djus ,oa mÙkj i=d ij fu'kku yxkus ds fy, dsoy dkys ckWy IokbaV iSu dk iz;ksx djsAa vH;FkhZ iz'u&iqfLrdk dk mi;ksx djus ,oa
mÙkj i=d dks Hkjus esa lko/kkuh cjrsAa / Use Black Ball Point Pen only for writing particulars on this page/darkening responses in the
Answer Sheet. The candidate should remain careful in handling the question paper and in darkening the responses on the answer
sheet.
4. izFke 10 feuV es]a ;g Hkh lqfuf'pr dj ysa fd iz'u&iqfLrdk Øekad vkSj mÙkj i=d Øekad ,d gh gSAa vxj ;g fHkUu gksa ;k iz'u&iqfLrdk esa dksbZ i`"B
missing ;k misprint gks rks vH;FkhZ nwljh iz'u&iqfLrdk vkSj mÙkj i=d ysus ds fy, i;Zo{s kd dks rqjUr voxr djok,¡A / Within first 10 minutes,
also ensure that your Question Booklet Serial No. and Answer Sheet Serial No. are the same. In case of discrepancy or any page
missing/misprint in test booklet, then the candidate should immediately report the matter to the Invigilator for replacement of both
the Question Booklet and the Answer Sheet.

5. ysoy&3 [ izoDrk ds fy, ] 5. Level–3 [ For Lecturer ]
Hkkx&I % cky fodkl o f'k{kk 'kkL= [ç'u 1 ls ç'u 30] PART–I : Child Development and
Pedagogy [Qn. 1 to Qn. 30]
Hkkx&II % Hkk"kk % [ç'u 31 ls ç'u 60]
PART–II : Language : [Qn. 31 to Qn. 60]
¼fgUnh % 15 iz'u o vaxzsth % 15 iz'u½
(Hindi : 15 Qn. & English : 15 Qn.)
Hkkx&III % lkekU; v/;;u % [ç'u 61 ls ç'u 90]
PART–III : General Studies : [Qn. 61 to Qn. 90]
¼ek=kRed ;ksX;rk % 10 iz'u] rkfdZd vfHk{kerk % 10 iz'u] lkekU; (Quantitative Aptitude : 10 Qn, Reasoning
Kku ,oa vfHkKku % 10 iz'u½ Ability : 10 Qn, G. K. & Awareness : 10 Qn.)
Hkkx&IV % xf.kr [ç'u 91 ls ç'u 150] PART–IV : Mathematics [Qn. 91 to Qn. 150]

[Ñi;k bl iqfLrdk ds vUr esa fn, x, 'ks"k funs'Z kksa dks i<+Asa / Please read other remaining instructions given on the last page of this booklet.]

jQ dk;Z ds fy, [FOR ROUGH WORK]

[3/A]
Hkkx – I / PART – I
cky fodkl o f'k{kk'kkL= / CHILD DEVELOPMENT AND PEDAGOGY
funsZ'k % fuEufyf[kr iz'uksa ds mÙkj nsus ds fy, lcls mfpr fodYi pqfu,A
Direction : Answer the following questions by selecting the most appropriate option.

1. lkekftd :i ls oafpr cPpksa ds fy, fdl 1. Which type of education would be
izdkj dh f'k{kk mi;qDr gksxh \ appropriate for socially deprived
children ?
1) vukSipkfjd f'k{kk 1) Informal education
2) fof'k"V f'k{kk 2) Special education
3) lekos'kh f'k{kk 3) Inclusive education
4) /kkfeZd f'k{kk 4) Religious education

2. fuEufyf[kr esa ls dkSu&lk dFku ,fjDlu 2. Which of the following statement is
ds euks&lkekftd fodkl fl)kar ds correct regarding adolescence,
vUrxZr fd'kksjkoLFkk ds laca/k esa lgh under Erikson's Psycho-social
gS \ development theory ?
1) vga&igpku ,d /kukRed euks&lkekftd 1) Ego-identity is a positive
igyw gSA psycho-social aspect.

2) vga&igpku ,d _.kkRed euks&lkekftd 2) Ego-identity is a negative
igyw gSA psycho-social aspect.

3) vga&igpku ,d rVLFk euks&lkekftd 3) Ego-identity is a neutral
igyw gSA psycho-social aspect.

4) vga&igpku dksbZ euks&lkekftd igyw 4) Ego-identity is not just a
gh ugha gSA psycho-social aspect.

3. ,d ltZu'khy ckyd esa fuEufyf[kr esa ls 3. Which of the following characteristic
dkSu&lh fo'ks"krk ugha ns[kh tkrh gS \ is not seen in a creative child ?
1) vilkjh fparu 1) Divergent thinking

2) vfr ftKklk 2) Extreme curiosity

3) mPp dYiuk,¡ 3) High imaginations
4) ijEijkxr fopkj 4) Conventional thoughts

[ Level-3 / 1318 ] P. T. O.

[4/A]

4. fuEufyf[kr esa ls dkSu&lh fo'ks"krk 4. Which of the following characteristics
lkekthdj.k dh izfØ;k ij ldkjkRed does not have a positive effect on the
izHkko ugha Mkyrh gS \ process of socialization ?
1) Socially approved behaviour
1) lkekftd :i ls LohÑr O;ogkj
2) Playing approved social roles
2) LohÑr lkekftd Hkwfedk,¡ fuHkkuk
3) Development of social attitude
3) lkekftd vfHko`fÙk dk fodkl 4) Development of social
4) lkekftd iwokZxzgksa dk fodkl prejudices

5. ok;xksV~Ldh dk ^lehiLFk fodkl {ks=* 5. Vygotsky's 'Zone of Proximal
lanfHkZr djrk gS % Development' refers to :
1) cPpk Lora= :i ls D;k dj ldrk 1) What the child can do
independently
gS
2) What the child can't do
2) cPpk Lora= :i ls D;k ugha dj independently
ldrk gS 3) What the child can do with
3) cPpk fdlh Kkuh O;fDr ds funsZ'ku eas guidance of knowledgeable
D;k dj ldrk gS person
4) cPpk fdlh Kkuh O;fDr ds funsZ'ku esa 4) What the child can't do even
Hkh D;k ugha dj ldrk gS under guidance of
knowledgeable person

6. ;fn dksbZ f'k{kkFkhZ visf{kr miyfC/k gkfly 6. If a learner does not achieved the
ugha dj ikrk gS] rks mldk dkj.k tkuus expected performance, what type
ds fy, fdl izdkj dk ijh{k.k fd;k tkrk of testing is done to find out the
gS \ reason ?
1) jpukRed 2) funkukRed 1) Formative 2) Diagnostic
3) mipkjkRed 4) ;ksxkRed 3) Remedial 4) Summative

7. ^^lekos'ku dsoy fnO;kax yksxksa rd gh 7. "Inclusion is not confined to the
lhfer ugha gS] cfYd bldk vFkZ fdlh Hkh disabled but it also mean no
cPps dk cfg"dkj u gksuk Hkh gSA** exclusion of any child."
f'k{kk esa lekos'ku dk ;g vFkZ fdlds This meaning of inclusion in
}kjk Li"V fd;k x;k gS \ education has been clarified by :
1) ,u0 lh0 ,Q0 2005 1) NCF 2005
2) ,u0 lh0 bZ0 vkj0 Vh0 2) NCERT
3) ;wusLdks 3) UNESCO
4) ;wfulsQ 4) UNICEF
[ Level-3 / 1318 ]

[5/A]

8. o`f) ,oa fodkl esa fdl izdkj ds ifjorZu 8. Which type of changes occur in
gksrs gSa \ growth and development ?

(a) 'kjhj ds vkdkj esa ifjorZu (a) Change in body size

(b) 'kjhj ds vuqikr esa ifjorZu (b) Change in body proportion

(c) iqjkus y{k.kksa dk foyksiu (c) Disappearance of old features

(d) uohu fo'ks"krkvksa dk vf/kxzg.k (d) Acquisition of new features

lgh dwV dk p;u dhft, % Choose the correct code :

dwV % Code :

1) (a), (b) ,oa (c) 1) (a), (b) & (c)

2) (a), (b) ,oa (d) 2) (a), (b) & (d)

3) (a), (c) ,oa (d) 3) (a), (c) & (d)

4) (a), (b), (c) ,oa (d) 4) (a), (b), (c) & (d)

9. fuEufyf[kr esa ls dkSu&lk dFku vfHkizsj.kk 9. Which of the following statements
dk vf/kxe ij ldkjkRed izHkko Li"V ugha does not explain the positive
djrk \ impact of motivation on learning ?

1) vfHkizsj.kk lh[kus ds O;ogkj dks {kh.k 1) Motivation impairs learning
djrh gS behaviour

2) vfHkizsj.kk lh[kus ds O;ogkj dks 2) Motivation provide definite
fuf'pr fn'kk iznku djrh gS direction to learning behaviour

3) vfHkizsj.kk lh[kus ds O;ogkj esa 3) Motivation energizes learning
lfØ;rk ykrh gS behaviour

4) vfHkizsj.kk lh[kus ds O;ogkj dks 4) Motivation makes learning
p;ukRed cukrh gS behaviour selective

[ Level-3 / 1318 ] P. T. O.

[6/A]

10. dksg~ycxZ ds uSfrd fodkl fl)kar ds 10. Match the stages of morality with
vUrxZr uSfrdrk dh voLFkkvksa dks muds their level, under the Moral
Lrj ls lqesfyr dhft, % Development theory of Kohlberg :
uSfrdrk dh voLFkk uSfrdrk Stages of Morality Level of
dk Lrj Morality
(a) vPNs vUroSZ;fDrd laca/k I (a) Good interpersonal I
relations
(b) O;fDrokn ,oa fofue; II (b) Individualism and II
exchange
(c) lkekftd vuqca/k ,oa III (c) Social contracts and III
oS;fDrd vf/kdkj individual rights
(d) lkoZHkkSfed fu;e (d) Universal principles
lgh dwV dk p;u dhft, % Choose the correct code :
dwV % Code :
(a) (b) (c) (d) (a) (b) (c) (d)
1) I III II I 1) I III II I
2) III II III I 2) III II III I
3) II III I II 3) II III I II
4) II I III III 4) II I III III

11. tc vf/kxedrkZ fdlh dk;Z dks fcuk fdlh 11. When the learner learns a task
bPNk ;k mn~ns'; ds vius vki gh lh[k automatically, without any desire
tkrk gS] rks mls dgrs gSa % or purpose, then it is called :
1) vfojke lh[kuk 1) Massed learning
2) iw.kZ lh[kuk 2) Whole learning
3) va'k lh[kuk 3) Part learning
4) izklafxd lh[kuk 4) Incidental learning

12. fuEufyf[kr esa ls dkSu&lk dFku tSfod 12. Which of the following statement is
vfHkizsjdksa ds laca/k esa lgh ugha gS \ not true regarding biological
motives ?
1) os lkoZHkkSfed gksrs gSa 1) They are universal
2) os tUetkr gksrs gSa 2) They are inborn
3) os thfor jgus ds fy, vko';d gksrs gSa 3) They are essential to survival
4) os O;fDr dh lefLFkfr ls lacaf/kr ugha 4) They are not related with
gksrs gSa homeostatis in the individual

[ Level-3 / 1318 ]

[7/A]

13. fuEufyf[kr esa ls dkSu&lh ijh{kk,¡ lrr 13. Which of the following
vkSj O;kid ewY;kadu dk vk/kkj gSa \ examinations are the basis of
continuous and comprehensive
(a) fyf[kr (b) ekSf[kd evaluation ?
(c) O;kogkfjd (d) izk;ksfxd (a) Written (b) Oral
lgh dwV dk p;u dhft, % (c) Behavioural (d) Practical
dwV % Choose the correct code :
Code :
1) (a), (b) ,oa (d)
1) (a), (b) & (d)
2) (a), (b) ,oa (c)
2) (a), (b) & (c)
3) (a), (c) ,oa (d) 3) (a), (c) & (d)
4) (a), (b), (c) ,oa (d) 4) (a), (b), (c) & (d)

14. fuEufyf[kr esa ls dkSu&lk dFku cqf) 14. Which of the following statement is
ijh{k.kksa ds lanHkZ esa lgh ugha gS \ not correct in reference to
intelligence tests ?
1) ,ysDtsaMj dk ikl ,ykax ijh{k.k ,d 1) Alexander's Pass along test is a
fu"iknu ijh{k.k gSA performance test.
2) 'kkfCnd ijh{k.k oS;fDrd vFkok 2) Verbal test can be either
lkewfgd nksuksa izdkj ds gks ldrs gSaA individual or group.
3) vf'kf{kr O;fDr fu"iknu ijh{k.k ugha 3) Illiterate people cannot do
dj ldrsA performance test.
4) v'kkfCnd ijh{k.kksa esa cqf) dk ekiu 4) In non-verbal tests intelligence
fp=ksa ,oa vkÑfr;ksa }kjk gksrk gSA is measured through pictures
and figures.

15. fuEufyf[kr esa ls dkSu&lk ;qXe fxyQksMZ ds 15. Which of the following pair is not
f=vk;keh cqf) fl)kar ds vUrxZr cqf) ds correct regarding elements of
rÙo ,oa mlds vk;ke ds laca/k esa lgh intelligence and their dimension,
under the Three Dimensional
ugha gS \ Intelligence theory of Guilford ?
cqf) ds rÙo vk;ke Elements of Dimension
Intelligence
1) bdkbZ mRikn
1) Unit Product
2) laKku lafØ;k
2) Cognition Operation
3) ewY;kadu lafØ;k 3) Evaluation Operation
4) laca/k fo"k;oLrq 4) Relations Content

[ Level-3 / 1318 ] P. T. O.

[8/A]

16. fuEufyf[kr esa ls dkSu&lh cky dsfUnzr 16. Which one of the following is not a
vf/kxe n`f"Vdks.k dh izeq[k fo'ks"krk ugha key feature of child centred
gS \ learning approach ?
1) lkFkZd lh[kus ds volj 1) Meaningful learning
opportunities
2) ,dy f'k{k.k ekxZ 2) Single learning pathway
3) lrr ewY;kadu 3) Continuous assessment
4) lqyHk f'k{k.k lsfVaXl 4) Accessible learning settings

17. c.Mwjk ds vuqlkj] izs{k.kkRed lh[kus dh 17. According to Bandura, which is not
dkSu&lh vUrlZacaf/kr izfØ;k,¡ ugha gSa \ the interrelated processes of
observational learning ?
1) vo/kkukRed izfØ;k,¡ 1) Attentional Processes
2) /kkj.kkRed izfØ;k,¡ 2) Retentional Processes
3) izsj.kkRed izfØ;k,¡ 3) Motivational Processes
4) la;kstukRed izfØ;k,¡ 4) Conjunctional Processes

18. c.Mwjk ds lkekftd vf/kxe fl)kar ds 18. According to Bandura's Social
vuqlkj] tc dksbZ O;fDr nwljksa ds O;ogkj Learning theory, what is it called
dks ns[kdj vkSj nksgjkdj ogh O;ogkj lh[k when a person learns the same
ysrk gS] rks bls D;k dgrs gSa \ behaviour by observing and
repeating the behaviour of others ?
1) vuqdwyu 1) Adaptation
2) vkRe&izs{k.k 2) Self-observation
3) ekWMfyax 3) Modeling
4) lkeF;Z izR;k'kk 4) Efficacy expectation

19. LVuZcxZ ds f=ra= fl)kar ds vUrxZr 19. Which sub-component is not included
?kVdh; cqf) esa dkSu&lk mi&?kVd in componential intelligence under
lfEefyr ugha gS \ the Sternberg Triarchic Theory ?
1) esVk ?kVd 1) Meta component
2) iz;ksxkRed ?kVd 2) Experimental component
3) fu"iknu ?kVd 3) Performance component
4) Kku laxzg.k ¼vtZu½ ?kVd 4) Knowledge acquisition component

[ Level-3 / 1318 ]

[9/A]

20. ,d vf/kxe fu;ksZX;rk tks vadxf.krh; 20. A learning disability that affects the
dkS'ky ds vf/kxzg.k dks izHkkfor djrh gS % acquisition of arithmetical skill is :
1) fMLdSydqfy;k 2) fMLxzkfQ;k 1) Dyscalculia 2) Dysgraphia
3) fMLysfDl;k 4) fMLeSfXufl;k 3) Dyslexia 4) Dysmagnisia

21. Ýk;M ds euksySafxd fodkl fl)kar dh 21. Choose the correct sequence of
ik¡pksa voLFkkvksa ds lgh Øe dk p;u the five stages of Freud's Psycho-
dhft, % sexual development theory :
1) eq[kkoLFkk → fyax iz/kkukoLFkk → 1) Oral stage → Phallic stage →
vO;DrkoLFkk → xqnkoLFkk → Latency stage → Anal stage →
tuusfUnz;koLFkk Genital stage
2) xqnkoLFkk → vO;DrkoLFkk → fyax 2) Anal stage → Latency stage →
iz/kkukoLFkk → tuusfUnz;koLFkk → Phallic stage → Genital stage
eq[kkoLFkk → Oral stage
3) eq[kkoLFkk → xqnkoLFkk → fyax 3) Oral stage → Anal stage →
iz/kkukoLFkk → vO;DrkoLFkk → Phallic stage → Latency stage
tuusfUnz;koLFkk → Genital stage
4) vO;DrkoLFkk → xqnkoLFkk → 4) Latency stage → Anal stage →
eq[kkoLFkk → tuusfUnz;koLFkk → fyax Oral stage → Genital stage →
iz/kkukoLFkk Phallic stage

22. iSoyko ds 'kkL=h; vuqca/ku vf/kxe 22. According to Pavlov's Classical
fl)kar ds vuqlkj LokHkkfod ,oa vuqcaf/kr Conditioning theory of learning,
míhidksa ds izLrqrhdj.k dk dkSu&lk dkfyd which temporal sequence
presentation of natural and
Øe lh[kus dks lokZf/kd izHkkfor djsxk \ conditioned stimuli will most affect
learning ?
1) ledkfyd 2) foyafcr 1) Simultaneous 2) Delay
3) ladsr 4) i'pxkeh 3) Trace 4) Backward

23. fi;kts ds laKkukRed fodkl fl)kar dh 23. In which stage of Piaget's Cognitive
fdl voLFkk esa vewrZ fparu rFkk Development theory does the
lkekU;hdj.k dh {kerk fodflr gks tkrh ability of abstract thinking and
gS \ generalization develop ?
1) laosnh&xked 1) Sensory motor
2) iwoZ&lafØ;kRed 2) Pre-operational
3) ewrZ&lafØ;kRed 3) Concrete-operational
4) vkSipkfjd&lafØ;kRed 4) Formal operational
[ Level-3 / 1318 ] P. T. O.

[ 10 / A ]

24. izfrHkk'kkyh fo|kfFkZ;ksa ds fy, fuEufyf[kr 24. Which of the following educational
esa ls dkSu&lh 'kSf{kd O;oLFkk ugha dh tkuh arrangements shouldn't be made
pkfg, \ for talented students ?
1) Lora= izkstsDV dk;Z ds volj 1) Opportunities for independent
project work
2) Roj.k 2) Acceleration
3) mipkjkRed f'k{k.k 3) Remedial teaching
4) lao/kZu dk;ZØe 4) Enrichment program

25. fuEufyf[kr esa ls dkSu&lk lekos'kh f'k{kk 25. Which one of the following is not a
dk ,d fl)kar ugha gS \ principle of inclusive education ?
1) i`FkDdj.k dk fl)kar 1) Principle of segregation
2) lg;ksx dk fl)kar 2) Principle of cooperation
3) fofo/krk dk t'u eukus dk fl)kar 3) Principle of celebrating diversity
4) f'k{kk ds vf/kdkj dk fl)kar 4) Principle of right to education

26. fuEufyf[kr esa ls dkSu&lk rjhdk oS;fDrd 26. Which of the following way does
fHkUurkvksa ds vuqlkj f'k{k.k dk leFkZu not support the teaching according
ugha djrk \ to individual differences ?
1) fo|kfFkZ;ksa dk cM+k lewg 1) Large group of students
2) oS;fDrd vuqns'ku 2) Individualized instruction
3) ikB~;Øe vuqdwyu 3) Curriculum adaptation
4) fo|kfFkZ;ksa dh {kerkvksa dk Kku 4) Knowledge of student's abilities

27. fof'k"V vko';drkvksa okys cPpksa dh 27. Which is not a role of educational
vko';drk dks iwjk djus esa 'kS{kf.kd institutions in addressing the needs
laLFkkuksa dh D;k Hkwfedk ugha gS \ of children with special need ?
1) fcuk HksnHkko ds fo|ky; esa izos'k nsuk 1) Admission to school without
discrimination
2) lqyHk cqfu;knh lqfo/kk,¡ iznku djuk 2) Provide accessible
infrastructural facilities
3) mudh fof'k"V vko';drk dks igpkuuk 3) Identify their special needs
,oa eq[;/kkjk ls ckgj j[kuk and exclude them from
mainstreaming
4) mUgsa vko';d lgk;rk lsok,¡ iznku 4) Provide necessary support
djuk services
[ Level-3 / 1318 ]

[ 11 / A ]

28. fuEufyf[kr esa ls dkSu&lk dFku fodkl ds 28. Which of the following statement is
lUnHkZ esa lgh ugha gS \ not correct in context of
development ?
1) fodkl ifjiDork ,oa vf/kxe dk 1) Development is the product of
mRikn gSA maturation and learning.
2) izkjafHkd fodkl dh rqyuk esa ckn dk 2) Later development is more
fodkl vf/kd xaHkhj gksrk gSA critical than early development.
3) fodkl flj ls iSj dh fn'kk esa vkxs 3) Development proceeds from
c<+rk gSA head to foot.
4) fodkl dsUnzh; v{k ls Nksj dh vksj 4) Development proceeds from
c<+rk gSA central axis to extremities.

29. lekos'kh f'k{kk dk f=vk;keh fl)kar fdlds 29. The three dimensional model of
}kjk izfrikfnr fd;k x;k \ the inclusive education
propounded by whom ?
1) fxzfQFk] dwij ,oa fjaxykcsu 1) Griffith, Cooper and Ringlaben
2) xkVZj ,oa fyILdh 2) Gartuer and Lipsky
3) dkWQeSu ,oa gykgu 3) Kauffman and Hallahan
4) ysoasLdh] Msfol ,oa gwij 4) Levenski, Davis and Hooper

30. ^^lkekthdj.k dk vFkZ gS lkekftd laca/kksa 30. "Socialization means attaining of
esa ifjiDork vkukA** lkekthdj.k dh ;g maturity in social relationships."
ifjHkk"kk fdlds }kjk nh xbZ gS \ This definition of socialization is
given by whom ?
1) tkWu Mhoh 2) xSjsV 1) John Dewey 2) Garret
3) lksjsUlu 4) gjykWd 3) Sorenson 4) Hurlock

[ Level-3 / 1318 ] P. T. O.

[ 12 / A ]
Hkkx – II / PART – II
Hkk"kk ¼fgUnh ,oa vaxzsth½ / LANGUAGES (HINDI & ENGLISH)
fgUnh (HINDI)
funsZ'k % fuEufyf[kr iz'uksa ds mÙkj nsus ds fy, lcls mfpr fodYi pqfu,A

31. fo'ks"k.k ds laca/k esa dkSu&lk lgh lqesfyr 35. fdl fodYi ds leLr in esa cgqozhfg
ugha gS \ lekl dk mnkgj.k ugha gS \
1) Hkkjrh; & laKk ls fufeZr fo'ks"k.k 1) 'ks"k'kk;h] {kikukFk
2) ifo=re & fo'ks"k.k dh mÙkjkoLFkk 2) nh?kZ'okl] ik"kk.kân;
3) vk'kqrks"k] eanksnjh
3) ifjJeh & xq.kokpd fo'ks"k.k
4) iap'kj] i'kqifr
4) vkyL; & fo'ks"k.k ls fufeZr Hkkookpd
laKk
36. fdl fodYi dk 'kCn ^vu~* milxZ ls
fufeZr ugha gS \
32. fdl fodYi esa 'kCn&;qXe dk lgh vFkZ Hksn
1) vuarj
ugha gS \
2) vuhfr
1) ckt+h & nko] okth & ?kksM+k
3) vfu"V
2) es/k & gou] es?k & ckny
4) vukpkj
3) ekf.kD; & pchZ] ekf.kD;k & eNyh
4) eqDrk & eksrh] eqfDr & eks{k
37. fuEu esa ls fdl fodYi ds 'kCn fons'kt
33. dkSu&lk ;qXe laxr ugha gS \ izR;;ksa ls fufeZr gSa \
1) iYyfor] uhfyek
1) fHk{kqd & rRle 'kCn
2) eLrd & rn~Hko 'kCn 2) vfM+;y] dlkoV

3) f[kpM+h & ns'kt 'kCn 3) fj'or[kksj] jkst+xkj
4) vekur & fons'kt 'kCn 4) >xM+kyw] gBhyk

34. fuEufyf[kr esa ls fdl fodYi dk 'kCn 38. i;kZ;okph 'kCnksa ds lac/a k esa dkSu&lk
laf/k&foPNsn dh n`f"V ls laxr gS \ fodYi vuqfpr gS \
1) dq'kklu = dq'k $ vlu 1) pUnzek & fgedj] ve`rka'kq] egrkc
2) okrkZyki = okrkZ $ vyki 2) x#M+ & [kxukFk] o`"kHkh] Hknzk
3) tkudh'k = tud $ bZ'k 3) pUnu & xksjkspu] ey;t] likZokl
4) y?kwfeZ = y?kq $ ÅfeZ 4) xaxk & vejrfVuh] vfnztk] lqjlfj

[ Level-3 / 1318 ]

[ 13 / A ]

39. okrZfud n`f"V ls fdl fodYi ds lHkh 'kCn
43. loZuke ds laca/k esa dkSu&lk dFku vlR;
'kq) gSa \
1) vH;kFkhZ] R;kSgkj
gS \
2) ;kKoYD;] gLr{ksi 1) iz;ksx ds vk/kkj ij loZuke ds Ng
3) eSFkyh] vfgY;k Hksn gSaA
4) oSnsfg] okfil 2) ^dksb*Z rFkk ^dqN* vfu'p;okpd
loZuke 'kCn gSaA
40. ^egkRek xka/kh us Hkkjr dks vkt+kn djk;kA*
3) ^iq#"kokpd* loZuke ds pkj Hksn ekus
mDr okD; esa js[kkafdr 'kCn Øe'k% gSa %
1) O;fDrokpd laKk rFkk tkfrokpd laKk tkrs gSaA
2) tkfrokpd laKk rFkk Hkkookpd laKk 4) ftl loZuke ls oDrk ds ikl vFkok
3) O;fDrokpd laKk rFkk O;fDrokpd laKk nwj dh fdlh oLrq dk cks/k gksrk gS]
4) Hkkookpd laKk rFkk O;fDrokpd laKk mls fu'p;okpd loZuke dgrs gSaA
41. fuEu esa ls fdl eqgkojs dk vFkZ laxr ugha
44. fdl fodYi esa foijhrkFkZd ;qXe vlaxr
gS \
1) vius iSjksa ij [kM+k gksuk & vkRefuHkZj
gS \
gksukA 1) uwru & iqjkru
2) va/ks ds gkFk cVsj yxuk & fcuk iz;kl
2) nqjk'k; & lnk'k;
ds dksbZ pht+ izkIr dj ysukA
3) ,d ?kkV ikuh ihuk & ,drk vkSj 3) nuqt & nkuo
lfg".kqrk gksukA 4) taxe & LFkkoj
4) deku ls rhj fudy tkuk & fdlh dk
Hksn [kqyukA
45. okD;ka'k ds fy, ,dy 'kCn ds laca/k esa
42. fØ;k ds laca/k esa vuqfpr fodYi pqfu, % vuqfpr ;qXe gS %
1) deZ ds vk/kkj ij fØ;k ds ^ldeZd*
1) tks dkuwu dh n`f"V ls mfpr u gks &
,oa ^vdeZd* nks Hksn ekus tkrs gSaA
voS/k
2) lHkh izsj.kkFkZd fØ;k,¡ vdeZd gksrh
gSaA 2) ftlesa dksbZ fNnz u gks & uhjU/kz
3) ^firk iq= ls i= fy[kokrk gSA* mDr
3) leqnz esa yxus okyh vkx & nkokuy
okD; esa izsj.kkFkZd fØ;k iz;qDr gqbZ gSA
4) ^cfr;kuk*] ^yfB;kuk* ,oa ^viukuk* 4) tks Hkkstu jksxh ds fy, mfpr gS &
uke/kkrq fØ;k ds mnkgj.k gSaA iF;

[ Level-3 / 1318 ] P. T. O.

[ 14 / A ]
vaxzsth / ENGLISH
Direction : Answer the following questions by selecting the most appropriate option.

46. Fill in the blank with the correct 50. Which of the following options
option :
express the correct meaning of the
Note it down ……….. you should sentence given below ?
forget it. No sooner did I reach the college
1) that 2) because of than the bell rang.
3) till 4) lest 1) The sooner I reached the
college the earlier the bell
47. Choose the correct option that
rings.
gives the meaning of the given
2) I reached the college and the
idiom :
bell was rang after.
Spill the beans
3) Although I reached the college
1) increase work the bell began to ring.
2) face a great loss 4) As soon as I reached the
3) to leak a secret college, the bell rang.
4) segregate
51. Change the narration :
48. Fill in the blank with the correct
option : He said, "What a charming sight !"
1) He exclaimed with joy that it
The Pak army turned hostile ………
was a very charming sight.
ISIS.
2) He exclaimed with joy that
1) to 2) for
what a charming sight it is !
3) at 4) with
3) He told with joy that that is a
49. Choose the correct passive of the charming sight.
given sentence : 4) He said to me what a charming
Please give me some more time. sight it is !
1) Some more time might please
be given to me. 52. Fill in the blank with the correct
2) Some more time may please form of the verb :
be given to me. I …………… a lot of calls today.
3) Some more time could please 1) had have
be given to him. 2) has had
4) Some more time should please 3) have had
be given to him. 4) had had

[ Level-3 / 1318 ]

[ 15 / A ]

53. Which of the following sentences is 57. Fill in the blank with the correct
the correct option to express a form of verb :
probable condition ? When I last …………. her, she was
1) If I were a bird, I would fly to deeply involved in debt.
you. 1) have met 2) met
2) If you touch a live wire, you 3) has met 4) did met
will get a shock.
3) If you will read this book, you 58. Fill in the blank with the correct
will learn grammar. option :
4) If I had reached in time, I could How did the thief …… the padlock.
have saved her.
1) open
2) opened
54. Choose the part of the sentence
3) had opened
that is grammatically incorrect :
4) had been opening
He thought / he will be able to do /
A B
59. Fill in the blank with the correct
whatever he wanted / with his job.
'Modal Auxiliary' :
C D
…………. you mind lending me
1) A 2) B your pen ? (Request)
3) C 4) D 1) Should 2) Ought
3) Would 4) Must
55. Choose the part of the sentence
that is grammatically incorrect : 60. Arrange the following jumbled
The Jews were / most reluctant / options in the correct order and
A B then choose the correct option :
to contribute / in the Palestinian (A) is heartening
cause. (B) is going abroad
C D (C) the news
1) A 2) B (D) that she
3) C 4) D 1) C, D, B, A
2) D, A, C, B
56. The word 'slither' means : 3) D, C, B, A
1) lick 2) venomous 4) D, C, A, B
3) hinder 4) slide

[ Level-3 / 1318 ] P. T. O.

[ 16 / A ]
Hkkx – III / PART – III
lkekU; v/;;u / GENERAL STUDIES
ek=kRed ;ksX;rk] rkfdZd vfHk{kerk rFkk lkekU; Kku ,oa vfHkKku / QUANTITATIVE APTITUDE,
REASONING ABILITY AND G.K. & AWARENESS
funsZ'k % fuEufyf[kr iz'uksa ds mÙkj nsus ds fy, lcls mfpr fodYi pqfu,A
Direction : Answer the following questions by selecting the most appropriate option.

61. ;fn A vius flj ds cy ij mÙkj fn'kk 61. If A stands on his head with his
dh vksj viuk eq¡g djds [kM+k gS] rks face towards North, in which
mlds ck;sa gkFk dh fn'kk gS % direction will his left hand point ?
1) mÙkj&iwoZ 1) North-East

2) if'pe 2) West
3) iwoZ 3) East

4) mÙkj&if'pe 4) North-West

62. ,d uko 20 fdeh nwjh dks /kkjk dh fn'kk 62. A boat goes 20 km downstream in
esa ,d ?k.Vs esa rFkk mlh nwjh dks /kkjk dh one hour and the same distance
foijhr fn'kk esa 2 ?k.Vs esa r; djrh gS] upstream in two hours. The speed
rks 'kkUr ty esa uko dh pky gS % of the boat in still water is :

1) 10 fdeh@?k.Vk 1) 10 km/h

2) 12 fdeh@?k.Vk 2) 12 km/h
3) 13 fdeh@?k.Vk 3) 13 km/h

4) 15 fdeh@?k.Vk 4) 15 km/h

63. 15 O;fDr;ksa ds lewg esa 7 O;fDr fgUnh 63. In a group of 15 people, 7 read
,oa 8 O;fDr vaxzsth i<+rs gSa tcfd 3 Hindi, 8 read English, while 3 of
O;fDr bu nksuksa esa ls fdlh dks Hkh ugha them read none of these two. How
i<+rs gSa] rks buesa ls fdrus O;fDr fgUnh o many of them read Hindi and
vaxzsth nksuksa dks i<+rs gSa \ English both ?
1) 0 2) 3 1) 0 2) 3

3) 4 4) 5 3) 4 4) 5

[ Level-3 / 1318 ]

[ 17 / A ]

64. ,d d{kk esa 35 fo|kfFkZ;ksa es]a A dk LFkku 64. In a class of 35 students, A is
uhps ls 7osa ij ,oa B dk LFkku Åij ls placed 7th from the bottom
9osa LFkku ij gS rFkk C dk LFkku bu nksuksa whereas B is placed 9th from the
ds Bhd e/; esa gks] rks C dk LFkku A ls top and C is placed exactly
dkSu&lk gS \ between these two. What is A's
position from C ?
1) 9ok¡ 2) 10ok¡ 1) 9th 2) 10th
3) 11ok¡ 4) 12ok¡ 3) 11th 4) 12th

65. ,d fuf'pr dwV Hkk"kk esa 'CEG' dks 'TSR' 65. In a certain code language 'CEG' is
rFkk 'FHJ' dks 'QPO' fy[kk tkrk gS] rks written as 'TSR' and 'FHJ' is written
blh leku Hkk"kk esa 'IKM' dks fy[kk as 'QPO', then in the same code
tk;sxk % language 'IKM' is written as :
1) NOP 2) NOL 1) NOP 2) NOL
3) NMK 4) NML 3) NMK 4) NML

66. v{kjksa EAML ls fdrus lkFkZd 'kCn cuk;s 66. How many meaningful words can
tk ldrs gSa \ be formed with the letter EAML ?
1) 1 2) 2 1) 1 2) 2
3) 3 4) 4 3) 3 4) 4

67. ,d fu;fer cgqHkqt esa vkUrfjd dks.k ,oa 67. The ratio of an interior angle to the
cká dks.k dk vuqikr 7 : 2 gks] rks bl exterior angle of a regular polygon
cgqHkqt dh Hkqtkvksa dh la[;k gS % is 7 : 2. The number of sides of the
polygon is :
1) 7 2) 8 1) 7 2) 8
3) 9 4) 11 3) 9 4) 11

68. fuEufyf[kr la[;k Üka`[kyk dk vxyk in 68. Find the next term of the following
Kkr dhft, % number series :
2, 3, 10, 15, 26, ? 2, 3, 10, 15, 26, ?
1) 33 2) 34 1) 33 2) 34
3) 35 4) 36 3) 35 4) 36

[ Level-3 / 1318 ] P. T. O.

[ 18 / A ]

69. uy A }kjk ,d VSad dks vdsys 8 ?k.Vs esa] 69. Pipe A alone can fill a tank in 8
uy B }kjk blh VSad dks vdsys 6 ?k.Vs esa hours. Pipe B alone can fill it in 6
Hkjk tk ldrk gSA ;fn nksuksa uyksa dks ,d hours. If both the pipes are opened
lkFk 2 ?k.Vs ds fy, [kksyus ds i'pkr~ uy and after 2 hours pipe A is closed,
A dks cUn dj fn;k tk,] rks uy B }kjk then pipe B will fill the tank in :
cpk VSad dc Hkj tk,xk \
1) 2 ?k.Vs esa 2) 2½ ?k.Vs esa 1) 2 hours 2) 2½ hours
3) 3 ?k.Vs esa 4) 3½ ?k.Vs esa 3) 3 hours 4) 3½ hours

70. ;fn fdlh fuf'pr iSVuZ esa 38 * 15 = 32, 70. In a certain pattern, if 38 * 15 = 32,
62 * 91 = 7 rFkk 74 * 81 = 29 gks] rks 62 * 91 = 7 and 74 * 81 = 29, then
mlh iSVuZ esa 47 * 33 dk eku gS % in the same pattern the value of
47 * 33 is :
1) 40 2) 41 1) 40 2) 41
3) 38 4) 53 3) 38 4) 53

71. ;fn 17 fnlEcj] 2002 dks 'kfuokj Fkk] 71. If it was Saturday on 17th
rks 22 fnlEcj] 2004 dks dkSu&lk fnu December, 2002, what was the day
Fkk \ on 22nd December, 2004 ?
1) jfookj 2) 'kfuokj 1) Sunday 2) Saturday
3) lkseokj 4) eaxyokj 3) Monday 4) Tuesday

72. Js.kh dk vxyk in gS % 72. The next of the series is :
Z1A, X2D, V6G, T21J, ? Z1A, X2D, V6G, T21J, ?
1) R87M 2) R87N 1) R87M 2) R87N
3) R88P 4) R88M 3) R88P 4) R88M

73. vaxzsth o.kZekyk esa] nh xbZ Jsf.k;ksa esa 73. In English alphabet, the number of
Øekxr v{kjksa ds e/; NksM+s x, v{kjksa dh letters skipped in between
la[;k ,d ls de gksrh tkrh gS] adjacent letters in the series is
fuEufyf[kr Jsf.k;ksa esa dkSu&lh bl fu;e decreased by one. Which of the
dk ikyu djrh gS \ following series observes the rule ?
1) DJOTV 2) DJOSV 1) DJOTV 2) DJOSV
3) DJOSW 4) DIOSU 3) DJOSW 4) DIOSU

[ Level-3 / 1318 ]

[ 19 / A ]

74. x-v{k] y-v{k rFkk 4 x + 3 y = 12 }kjk 74. The radius of the circumcircle of
fufeZr f=Hkqt ds ckáo`Ùk dh f=T;k gS % the triangle made by x-axis, y-axis
and 4 x + 3 y = 12 is :
1) 2 bdkbZ 2) 2.5 bdkbZ 1) 2 unit 2) 2.5 unit
3) 3 bdkbZ 4) 4 bdkbZ 3) 3 unit 4) 4 unit

75. og lcls NksVh la[;k Kkr dhft,] ftls 75. Find the least number which must
15463 esa tksM+us ij izkIr ;ksxQy 107 ls be added to 15463 so that the
iw.kZr;k foHkkftr gks tkrk gS % resulting number is exactly
divisible by 107 :
1) 52 2) 55 1) 52 2) 55
3) 71 4) 76 3) 71 4) 76

76. ikuh dks nw/k esa fdl vuqikr esa feykdj 76. What proportion of water must be
cspk tk, fd izkIr feJ.k dks Ø; ewY; ij added to milk to gain 20% by
cspus ij 20% dk ykHk gks \ selling it at the cost price ?
1) 1 : 5 2) 2 : 5 1) 1 : 5 2) 2 : 5
3) 3 : 5 4) 4 : 5 3) 3 : 5 4) 4 : 5

77. ,d fuf'pr jkf'k dk 4% okf"kZd nj ij 77. The ratio of compound interest and
2 o"kksZa ds fy, pØo`f) C;kt ,oa ljy simple interest on a certain sum at
C;kt dk vuqikr gS % the rate of 4% per annum for 2
years is :
1) 52 : 51 2) 52 : 50 1) 52 : 51 2) 52 : 50
3) 51 : 50 4) 53 : 50 3) 51 : 50 4) 53 : 50

7 4 6 78. If A, B and C enter into a
78. ;fn A, B rFkk C us : : ds
2 3 5 partnership with shares in the ratio
vuqikr esa iw¡th yxkdj ,d O;kikj izkjEHk 7 4 6
: : . After 4 months, A
fd;kA 4 ekg i'pkr~ A us viuh iw¡th dk 2 3 5
50% c<+k fn;kA ;fn o"kZ ds vUr esa dqy increase his share by 50%. If the
total profit at the end of one year
21,600 #i;s dk ykHk gqvk gks] rks bl be Rs. 21,600, then B's share in the
ykHk esa ls B dk fgLlk gS % profit is :
1) 2,400 #i;s 2) 3,600 #i;s 1) Rs. 2,400 2) Rs. 3,600
3) 4,000 #i;s 4) 4,200 #i;s 3) Rs. 4,000 4) Rs. 4,200
[ Level-3 / 1318 ] P. T. O.

[ 20 / A ]

79. ,d vkneh 20% gkfu ij ,d oLrq dks 79. A man sold an article at a loss of
csprk gS] ;fn mlh oLrq dks 12 #i;s 20%. If he sells the article for Rs. 12
vf/kd esa csprk] rks mls 10% dk ykHk more, he would have gained 10%.
gksrkA ml oLrq dk Ø; ewY; gS % The cost price of an article is :
1) 22 #i;s 2) 30 #i;s 1) Rs. 22 2) Rs. 30
3) 36 #i;s 4) 40 #i;s 3) Rs. 36 4) Rs. 40

80. a½ + a −½ 1 − a −½ 80. a½ + a −½ 1 − a −½
+ cjkcj gS % + is equal to :
1− a 1+ a 1− a 1+ a
a a −1 a a −1
1) 2) 1) 2)
a −1 2 a −1 2
2 2 2 2
3) 4) 3) 4)
a −1 1− a a −1 1− a

81. ,sfrgkfld xk¡o lqx vofLFkr gS % 81. Historical village Sugh is located
in :
1) vEckyk ftys esa 1) Ambala district
2) dq#{ks= ftys esa 2) Kurukshetra district
3) ;equkuxj ftys esa 3) Yamunanagar district
4) iapdqyk ftys esa 4) Panchkula district

82. fdl gfj;k.koh us vxLr] 2023 esa ekmaV 82. Which Haryanvi conquered Mount
,Yczql dks Qrsg fd;k \ Elbrus in August, 2023 ?
1) lanhi fc'uksbZ 1) Sandeep Bishnoi
2) jksgrk'k fc'uksbZ 2) Rohtash Bishnoi
3) vt; f[kpM+ 3) Ajay Khichad
4) eksfgr 4) Mohit

83. gfj;k.kk ds fuEufyf[kr jkT;ikyksa esa ls 83. Who among the following Governors
dkSu vkbZ lh ,l vf/kdkjh Fks \ of Haryana was an ICS officer ?
1) Jh /keZohj 1) Shri Dharma Vir
2) Jh eqt+¶Qj gqlSu cuhZ 2) Shri Muzaffar Hussain Burney
3) Jh gfj vkuUn cjkjh 3) Shri Hari Anand Barari
4) Jh lqjthr flag la/kokfy;k 4) Shri Surjit Singh Sandhawalia

[ Level-3 / 1318 ]

[ 21 / A ]

84. ekS;Zdkyhu Lrwi ds lk{; izkIr gq, gSa % 84. The evidence of Stupa of Mauryan
period is found at :
1) Vksijk esa 2) fHkokuh esa 1) Topara 2) Bhiwani
3) Fkkuslj esa 4) jksgrd esa 3) Thanesar 4) Rohtak

85. xhrk t;arh lekjksg fdl ekg esa euk;k 85. Geeta Jayanti Samaroh is
tkrk gS \ celebrated in the month of :
1) dkfrZd esa 2) ekxZ'kh"kZ esa 1) Kartik 2) Margshirsh
3) vkf'ou esa 4) Jko.k esa 3) Ashvin 4) Shravana

86. gfj;k.kk lssok dk vf/kdkj vk;ksx ds eq[; 86. Who is the Chief Commissioner of
vk;qDr dkSu gaS \ Haryana Right to Service
Commission ?
1) Jh Vh0 lh0 xqIrk 1) Shri T. C. Gupta
2) Jh fot; o/kZu 2) Shri Vijay Vardhan
3) Jh jkts'k [kqYyj 3) Shri Rajesh Khullar
4) Jh fodkl xqIrk 4) Shri Vikas Gupta

87. lk/kq fu'pynkl ds ckjs esa fuEufyf[kr 87. Read the following statements
dFkuksa dks if<+, % about Sadhu Nischal Das :
(i) og nknw ds f'k"; FksA (i) He was a Dadu's disciple.
(ii) mUgksaus ,d iqLrd ^fopkj lkxj* (ii) He compiled a book 'Vichar
ladfyr dh] tks laokn ds :i esa gSA Sagar' which is in form of
dialogue.
lgh dwV dk p;u dhft, % Choose the correct code :
1) dsoy dFku (i) lgh gSA 1) Only statement (i) is correct.
2) dsoy dFku (ii) lgh gSA 2) Only statement (ii) is correct.
3) u rks dFku (i) vkSj u gh dFku (ii) 3) Neither statement (i) nor
lgh gSaA statement (ii) are correct.
4) nksuksa dFku (i) vkSj (ii) lgh gSaA 4) Both the statements (i) and (ii)
are correct.
[ Level-3 / 1318 ] P. T. O.

[ 22 / A ]

88. gfj;k.kk esa fpadkjk iztuu dsanz dgk¡ fLFkr 88. In Haryana, where the Chinkara
gS \ Breeding Centre is located ?
1) fiatkSj 2) ikuhir 1) Pinjore 2) Panipat
3) >Ttj 4) fHkokuh 3) Jhajjar 4) Bhiwani

89. gfj;k.kk jkT; lgdkjh Ñf"k ,oa xzkeh.k 89. When the Haryana State Co-
fodkl cksMZ fy0 dh LFkkiuk dc gqbZ \ operative Agriculture and Rural
Development Board Ltd. was
established ?
1) tuojh] 1967 1) January, 1967
2) uoEcj] 1966 2) November, 1966
3) ekpZ] 1980 3) March, 1980
4) tuojh] 1996 4) January, 1996

90. gfj;k.kk esa Hkkjrh; lwpuk izkS|ksfxdh 90. Where in Haryana, the Indian
laLFkku dgk¡ fLFkr gS \ Institute of Information Technology
is located ?
1) lksuhir 1) Sonipat
2) ikuhir 2) Panipat
3) vEckyk 3) Ambala
4) dq#{ks= 4) Kurukshetra

[ Level-3 / 1318 ]

[ 23 / A ]
Hkkx – IV / PART – IV
xf.kr / MATHEMATICS
funsZ'k % fuEufyf[kr iz'uksa ds mÙkj nsus ds fy, lcls mfpr fodYi pqfu,A
Direction : Answer the following questions by selecting the most appropriate option.

91. lehdj.k x 2 − (a − 2)x − a −1 = 0 ds 91. The value of 'a' such that the sum
ewyksa dk oxZ U;wure gks] rks a dk eku of the squares of the roots of
gS % the equation x 2 − (a − 2)x − a −1 = 0
assumes least value, is :
1) 0 1) 0
2) –1 2) –1
3) 2 3) 2
4) 1 4) 1

92. js[kk x = y − 1 = z − 2 esa fcUnq (1, 6, 3) 92. The image of the point (1, 6, 3) in
1 2 3 x y −1 z − 2
dk izfrfcEc gS % the line = = is :
1 2 3

1) (1, 1, 7) 1) (1, 1, 7)

2) (0, 1, 7) 2) (0, 1, 7)

3) (1, 0, 7) 3) (1, 0, 7)

4) (1, 7, 0) 4) (1, 7, 0)
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 1318 ] P. T. O.

[ 24 / A ]

93. js[kkvksa x = 1, y = 1, x = 4, y = 4 }kjk 93. The area enclosed between the
cus oxZ ds vUnj oØ y 2 = 4 x vkSj curves y 2 = 4 x and x 2 = 4 y inside
the square formed by the lines x = 1,
x 2 = 4 y ds chp f?kjs {ks= dk {ks=Qy
y = 1, x = 4, y = 4 is :
gS %
1) 11 1) 11
3 3
8 8
2) 3 3
2)
16 16
3) 3 3
3)
13 13
4) 3 3
4)

94. ;fn izkpfyd :i esa ,d Qyu lehdj.kksa 94. If a function is represented
1+ t 3 2 parametrically by the equations
x= 3 ,y= 2+ }kjk O;Dr gks] 1+ t 3 2
t 2t t x = 3 , y = 2 + , then :
t 2t t
rks %
2
 dy 
2
dy  dy  dy
x 1) x  =1+
1)  =1+  dx  dx
 dx  dx
3
 dy 
3
dy  dy  dy
2) x  = 1+ 2) x  = 1+
 dx  dx  dx  dx
3
 dy  dy
3  dy  dy
3)   =x+ 3)   =x+
 dx  dx  dx  dx
3 3
 dy  dy  dy  dy
4) x  =1+ x 4) x  =1+ x
 dx  dx  dx  dx

jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 1318 ]

[ 25 / A ]

95. ekuk a = 2iˆ + jˆ + kˆ , b = iˆ + 2 jˆ + kˆ vkSj 95. Let a = 2 iˆ + jˆ + kˆ , b = iˆ + 2 jˆ + kˆ and
c = 2 iˆ − 3 jˆ + 4 kˆ , ,d lfn'k r ] r × b = c = 2 iˆ − 3 jˆ + 4 kˆ . A vector r satisfying
c × b rFkk r . a = 0 dks larq"V djrk gSA r × b = c × b and r . a = 0 is :
vr% r =
1) − 2 iˆ + 2 ˆj + 2 kˆ 1) − 2 iˆ + 2 ˆj + 2 kˆ

2) − 2 iˆ + jˆ + 3 kˆ 2) − 2 iˆ + jˆ + 3 kˆ

3) − 2 iˆ − ˆj + 5 kˆ 3) − 2 iˆ − ˆj + 5 kˆ

4) iˆ − 5 ˆj + 3 kˆ 4) iˆ − 5 ˆj + 3 kˆ

96. bZ-esy ikloMZ esa rhu v{kj vo'; gksus 96. An e-mail password must contain
pkfg,A ikloMZ esa 0 ls 9 rd dksbZ ,d three characters. The password has
vad] vaxzsth o.kZekyk dk ,d vij dsl to contain one numeral from 0 to 9,
¼cM+k½ vkSj ,d yksvj dsl ¼NksVk½ dSjsDVj one upper case and one lower case
gksuk pkfg,A bl izdkj fdrus fHkUu character from the English alphabet.
ikloMZ laHko gSa \ How many distinct passwords are
possible ?
1) 6760 1) 6760
2) 13520 2) 13520
3) 40560 3) 40560
4) 105456 4) 105456
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 1318 ] P. T. O.

[ 26 / A ]

97. fcUnq (1, 2, 3) ls js[kk x − 6 = y − 7 = z − 7 97. The length of perpendicular from
3 2 −2 the point (1, 2, 3) to the line
ij Mkys x, yEc dh yEckbZ gS % x −6 y −7 z −7
= = is :
3 2 −2

1) 5 bdkbZ 1) 5 units

2) 7 bdkbZ 2) 7 units

3) 4 bdkbZ 3) 4 units

4) 3 bdkbZ 4) 3 units

98. ,d yEco`Ùkh; 'kadq dh Å¡pkbZ 8.4 lseh gS 98. A right circular cone is of height
vkSj blds vk/kkj dh f=T;k 2.1 lseh gSA 8.4 cm and the radius of its base is
bls fi?kykdj iqu% ,d xksyk cuk fn;k 2.1 cm. It is melted and recast into
tkrk gSA xksys dh f=T;k gS % a sphere. The radius of the sphere
is :
1) 2.3 lseh 1) 2.3 cm
2) 2.5 lseh 2) 2.5 cm
3) 2.1 lseh 3) 2.1 cm
4) 2.7 lseh 4) 2.7 cm
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 1318 ]

[ 27 / A ]

99. f=Hkqt ABC dh Hkqtkvksa AB rFkk AC ij 99. P and Q are paints on sides AB and
Øekuqlkj fcUnq P rFkk fcUnq Q fLFkr gSA AC respectively of ∆ ABC. If AP =
;fn AP = 3 lseh, PB = 6 lseh, AQ = 3 cm, PB = 6 cm, AQ = 5 cm and
5 lseh vkSj QC = 10 lseh gks] rks % QC = 10 cm, then :
1) BC = 2 PQ 2) BC = 3 PQ 1) BC = 2 PQ 2) BC = 3 PQ
3) BC = 4 PQ 4) BC = 5 PQ 3) BC = 4 PQ 4) BC = 5 PQ
100 100
3 3  3 3 
100. ;fn 3 ( x + iy ) =  +
49  vkSj 100. If 3 ( x + iy ) =  +
49  and
 2 2 i  2 2 i
   
x = ky gks] rks k dk eku gS % x = ky, then k is :
1 1
1) − 2) 3 1) − 2) 3
3 3
1 1
3) – 3 4) − 3) – 3 4) −
3 3

101. ,d d{kk esa 100 Nk= gSAa ,d ijh{kk esa 101. There are 100 students in a class.
muesa ls 50 Nk= xf.kr esa vuqÙkh.kZ gks x,] In an examination, 50 students of
45 Nk= HkkSfrd foKku esa vuqÙkh.kZ gks x, them failed in mathematics, 45
failed in physics and 40 failed in
vkSj 40 Nk= lkaf[;dh esa vuqÙkh.kZ gks x,]
statistics, and 32 failed in exactly
vkSj 32 Nk= bu rhu fo"k;ksa esa ls Bhd nks two of these three subjects. Only
fo"k;ksa esa vuqÙkh.kZ gks x,A rhuksa fo"k;ksa esa one student passed in all the three
dsoy ,d Nk= gh mÙkh.kZ gqvkA rhuksa fo"k;ksa subjects. The number of students
esa vuqÙkh.kZ Nk=ksa dh la[;k gS % failing all the three subjects is :
1) 12 2) 4 1) 12 2) 4
3) 2 4) 5 3) 2 4) 5
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 1318 ] P. T. O.

[ 28 / A ]

102. ;fn x = 3 28 vkSj y = 3 27 gks] rks 102. If x = 3 28 and y = 3 27 , then the
1 1
x+y− dk eku gS % value of x + y − 2 is :
x + xy + y 2
2
x + xy + y 2

1) 2 1) 2
2) 6 2) 6

3) 5 3) 5

4) 1 4) 1

103. eku yhft, ,d yM+dh iklk Qsadrh gSA ;fn 103. Suppose a girl throws a die. If she
mls 5 ;k 6 feyrk gS] rks og ,d flDds dks gets 5 or 6, she tosses a coin three
rhu ckj mNkyrh gS vkSj fpr (Head) dh times and notes the number of
la[;k uksV djrh gS ;fn mls 1, 2, 3 ;k 4 heads. If she gets 1, 2, 3, or 4, she
feyrk gS] rks og ,d ckj gh flDdk mNkyrh tosses a coin once and notes
gS vkSj uksV djrh gS fd fpr (Head) vk;k whether a head or tail is obtained.
gS ;k iV (Tail)A ;fn mls Bhd ,d fpr If she obtained exactly one head,
izkIr gqvk] rks bldh D;k izkf;drk gS fd what is the probability that she
mlus ikls ls 1, 2, 3 ;k 4 Qsadk \ threw 1, 2, 3, or 4 with the die ?
1) 11 1) 11
24 24
2) 2 2) 2
3 3
3) 1 3) 1
8 8
4) 8 4) 8
11 11
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 1318 ]

[ 29 / A ]
2
104. Qyu f ( x ) = sin( π[4x + 1]) , tgk¡ [.] 104. The range of the function
x +1 sin( π[ x 2 + 1])
egÙke iw.kkZad Qyu gS] dk ifjlj gS % f(x) = , where [.] is
x 4 +1
greatest integer function, is :
1) [0, 1] 2) {0} 1) [0, 1] 2) {0}
3) [–1, 1] 4) {0, 1} 3) [–1, 1] 4) {0, 1}

105. ,d 5 lseh f=T;k ds o`Ùk dh thok PQ 105. PQ is a chord of length 8 cm of a
dh yEckbZ 8 lseh gSA bl o`Ùk ds fcUnq P circle of radius 5 cm. The tangents
rFkk Q ij [khaph xbZ Li'kZ js[kk,¡ fcUnq T at P and Q of the circle intersect at
ij izfrPNsn djrh gSaA TP dh yEckbZ gS % a point T. The length of TP is :
16 4 16 4
1) lseh 2) lseh 1) cm 2) cm
3 3 3 3
5 20 5 20
3) lseh 4) lseh 3) cm 4) cm
3 3 3 3

106. ,d d.k oØ 6y = x3 + 2 ds vuqfn'k xfr 106. A particle moves along the curve
djrk gSA oØ ij fcUnqvksa dh la[;k ftl 6y = x3 + 2. The number of points
ij y-funsZ'kkad x-funsZ'kkad ls vkB xquk on the curve at which the
cny jgk gS % y-co-ordinate is changing eight
times the x-co-ordinate is :

1) 4 1) 4

2) 3 2) 3

3) 2 3) 2

4) 1 4) 1
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 1318 ] P. T. O.

[ 30 / A ]

1 1
107. 2 1 + x  107. 2 1 + x 
∫−1 cos x loge  1 − x  dx = ∫−1 cos x loge  1 − x  dx =
2 2
1) 4 1) 4
2) 0 2) 0
3) 2 3) 2
4) π 4) π

1 x  1 x 
108. ;fn ∫ 1 + sin x dx = tan  2 + p  + c, 108. If ∫ 1 + sin x dx = tan  2 + p  + c,
rks p = then p =
π π
1) 1)
4 4
π π
2) 2)
2 2
π π
3) − 3) −
2 2
π π
4) − 4) −
4 4

109. nh gqbZ fr;Zd Å¡pkbZ 2 ehVj vkSj egÙke 109. If h is the height of a right circular
vk;ru okys yEc o`Ùkh; 'kadq dh Å¡pkbZ cone of greatest volume of given
;fn h gks] rks h = slant height 2 m, then h is equal to :
2 2 2 2
1) eh 2) eh 1) m 2) m
3 2 3 2

3) 3 2 eh 4) 2 2 eh 3) 3 2 m 4) 2 2 m
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 1318 ]

[ 31 / A ]

15
 2 2 110. The ratio of the coefficient of x15 to
 x +  ds foLrkj esa x ds xq.kkad
110. 15
 x the term independent of x in the
dk x ls Lora= in ¼vFkkZr~ x-jfgr in½  2
15

dk vuqikr gS % expansion of  x 2 +  is :
 x
1) 12 : 32 1) 12 : 32
2) 1 : 32 2) 1 : 32
3) 32 : 12 3) 32 : 12
4) 32 : 1 4) 32 : 1

111. ;fn R ls R esa nks Qyu f(x) vkSj g(x) 111. If f(x) and g(x) are two functions
bl izdkj ifjHkkf"kr gSa fd (fog)(x) = from R to R such that (fog)(x) =
(x3 – x2 + 2) ] rks f '(1) g'(1) cjkcj gS %
8 8
(x3 – x2 + 2) , then f '(1) g'(1) is :
1) 8 1) 8
2) 16 2) 16
3) 12 3) 12
4) 24 4) 24
1
1 1
3
dk 112. The expansion [ x + ( x − 1)2 ]5 +
112. [ x + ( x − 1) ] + [ x − ( x − 1)2 ]5
3 2 5 3
1
foLrkj ,d cgqin gS] ftldh ?kkr [x −(x 3
−1)2 ]5 is a polynomial of
(degree) gS % degree :
1) 5 2) 6 1) 5 2) 6
3) 7 4) 8 3) 7 4) 8
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 1318 ] P. T. O.

[ 32 / A ]

113. ,d lekUrj Js<+h ds izFke N% inksa dk 113. The sum of first six terms of an
;ksx 42 gSA blds 10osa in vkSj 30osa in arithmetic progression is 42. The
dk vuqikr 1 : 3 gSA bl lekUrj Js<+h dk ratio of its 10th term to its 30th
13ok¡ in gS % term is 1 : 3. The thirteenth term of
the arithmetic progression is :
1) 62 2) 26 1) 62 2) 26
3) 28 4) 82 3) 28 4) 82

114. leqPp; A = {1, 2, 3} esa ,d lEcU/k R] 114. The relation R defined in A = {1, 2, 3}
aRb ;fn |a – b | ≤ 5] }kjk ifjHkkf"kr
2 2 2 2
by aRb, if |a – b | ≤ 5, which of
gSaA fuEufyf[kr esa ls dkSu-lk vlR; gS \ the following is not true ?
1) R = {(1, 1), (2, 2), (3, 3), (2, 1), 1) R = {(1, 1), (2, 2), (3, 3), (2, 1),
(1, 2), (2, 3), (3, 2)} (1, 2), (2, 3), (3, 2)}
–1 –1
2) R = R 2) R = R
3) R dk izkUr = {1, 2, 3} 3) Domain of R = {1, 2, 3}
4) R dk ifjlj = {5} 4) Range of R = {5}

115. ;fn lehdj.k fudk; 115. If the system of equations
2x + 3 y = 7 2x + 3 y = 7
(p + q)x + (2p – q)y = 21 (p + q)x + (2p – q)y = 21
ds vuUr gy gksa] rks % has infinitely many solutions, then :
1) p = 5, q = 1 1) p = 5, q = 1
2) p = 1, q = 5 2) p = 1, q = 5
3) p = 2, q = 2 3) p = 2, q = 2
4) p = 0, q = 3 4) p = 0, q = 3
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 1318 ]

[ 33 / A ]

116. ;fn f}?kkr lehdj.k 2 x 2 + px − 15 = 0 116. If –5 is a root of the quadratic
dk ,d ewy –5 gks vkSj f}?kkr lehdj.k equation 2 x 2 + px − 15 = 0 and the
p( x 2 + x ) + k = 0 ds ewy leku gks] rks quadratic equation p( x 2 + x ) + k = 0
k dk eku gS % has equal roots, then the value of k
is :
1) 7 1) 7
2) 4 2) 4
3) 7 3) 7
4 4
4) 4 4) 4
7 7

117. ,d f=Hkqt dk ,d cká dks.k 108° dk gS 117. An exterior angle of a triangle is

vkSj blds vkarfjd lEeq[k dks.kksa dk 108° and its interior opposite

vuqikr 4 : 5 gSA f=Hkqt ds dks.k gSa % angles are in the ratio 4 : 5. The

angles of the triangle are :

1) 48°, 60°, 72° 1) 48°, 60°, 72°

2) 50°, 60°, 70° 2) 50°, 60°, 70°

3) 52°, 56°, 72° 3) 52°, 56°, 72°

4) 42°, 60°, 76° 4) 42°, 60°, 76°

jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 1318 ] P. T. O.

[ 34 / A ]

118. ;fn fuEu caVu dh ekf/;dk A vkSj 118. If the median A and mode B of the
cgqyd B lEcU/k 7(B – A) = 6Q dks following distribution satisfy the
larq"V djrs gSa] rks Q dk eku gS % relation 7(B – A) = 6Q, then the
value of Q is :
oxZ 0-30 30-60 60-90 90-120 Class 0-30 30-60 60-90 90-120

vUrjky Interval

vko`fÙk 4 5 7 4 Frequency 4 5 7 4

1) 6 1) 6
2) 7 2) 7
3) 9 3) 9
4) 8 4) 8

119. ;fn cgqin 6 x 4 + 8 x 3 + 17 x 2 + 21x + 7 119. If the polynomial
dks ,d vU; cgqin 3 x 2 + 4 x + 1 ls 4 3 2
6x + 8 x +17x + 21x + 7 is divided
foHkkftr fd;k tkrk gS] rks 'ks"kQy by another polynomial 3 x 2 + 4 x + 1,
ax + b vkrk gS] rks a2 + b2 = the remainder comes out to be
ax + b , then a2 + b2 =
1) 3 1) 3
2) 5 2) 5
3) 9 3) 9
4) 1 4) 1

jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 1318 ]

[ 35 / A ]

120. f=Hkqt ABC dh ekf/;dk,¡ G ij izfrPNsn 120. Medians of ∆ ABC intersect at G. If
djrh gSAa ;fn ∆ ABC dk {ks=Qy = 27 lseh2 2
area of ∆ ABC = 27 cm , then area
gS] rks ∆ BGC dk {ks=Qy = of ∆ BGC =
1) 9 lseh
2 2
1) 9 cm
2) 6 lseh
2 2
2) 6 cm
3) 12 lseh
2 2
3) 12 cm
4) 18 lseh
2 2
4) 18 cm

121. Qyu f ( x ) = xe−3 x % 121. The function f ( x ) = xe
−3 x
:
1) R esa o/kZeku gS 1) Increases on R
2) R esa àkleku gS 2) Decreases on R
 1  1
3)  − ∞,  esa o/kZeku gS 3) Increases in  − ∞, 
 3  3
 1
 − ∞,  esa àkleku gS 4) Decreases in  − ∞, 
4) 1
 3  3

122. oØ y = x 2, y = x + 2 ,oa x-v{k ls f?kjs 122. Area of the region bounded by the
{ks= dk {ks=Qy gS % curves y = x 2, y = x + 2 and the x-
axis is :
5 5
1) 4 2) 3 1) 4 2) 3
3 3
5 5 5 5
3) 4 4) 6 3) 4 4) 6

jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 1318 ] P. T. O.

[ 36 / A ]

123. ;fn lehdj.kksa ds fudk; 123. If the trivial solution is the only
solution of the system of equations :

x – ky + z = 0 x – ky + z = 0

kx + 3y – kz = 0 kx + 3y – kz = 0

3x + y – z = 0 3x + y – z = 0

dk fujFkZd (Trivial) gy gh ,d ek= Then, the set of all values of k is :
gy gks] rks k ds lHkh ekuksa dk leqPp;
gS %
1) {2, –3} 1) {2, –3}

2) R – {2, –3} 2) R – {2, –3}

3) R – {2, 3} 3) R – {2, 3}

4) {2, 3} 4) {2, 3}

124. ;fn A3×3 vkSj |A| = 6] rks |2(adj A)| = 124. If A3×3 and |A| = 6, then |2(adj A)| =

1) 48 1) 48

2) 8 2) 8

3) 288 3) 288

4) 12 4) 12
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 1318 ]

[ 37 / A ]

125. ∆ ABC ds 'kh"kksZa A, B vkSj C ds fLFkfr 125. The position vectors of the
lfn'k Øekuqlkj iˆ − jˆ − 3 kˆ , 2 iˆ + ˆj − 2 kˆ vertices A, B and C of ∆ ABC are
vkSj − 5 iˆ + 2 ˆj − 6 kˆ gSA ∠BAC dk respectively iˆ − jˆ − 3 kˆ , 2 iˆ + ˆj − 2 kˆ
v/kZd AD gS] tgk¡ D] js[kk[k.M BC ij and − 5 iˆ + 2 ˆj − 6 kˆ . The length of
fLFkr gSA AD dh yEckbZ gS % the bisector AD of ∠ BAC, where D
is on the line segment BC, is :
15 15
1) 1)
2 2
11 11
2) 2)
2 2
1 1
3) 3)
4 4
3 10 3 10
4) 4)
4 4

loge x f(x) loge x f(x)
126. ;fn ∫ 2
dx = + c, 126. If ∫ 2
dx = + c,
(1 + loge x ) (1 + loge x ) (1 + loge x ) (1 + loge x )
rks f(x) = then f(x) =

1) x 1) x

2) –x 2) –x

3) x2 3) x2

4) –x2 4) –x2

jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 1318 ] P. T. O.

[ 38 / A ]

127. vad 2, 3, 4, 5 dks ,d lkFk ysus ij cuus 127. The sum of all numbers that can be
okyh lHkh la[;kvksa dk ;ksx gS % formed with the digits 2, 3, 4, 5
taken all at a time, is equal to :
1) 93324 2) 93328 1) 93324 2) 93328

3) 92324 4) 92328 3) 92324 4) 92328

128. ;fn lehdj.k x2 + ax + sin–1 (x2 – 4x + 5) 128. The value of 'a' for which x2 + ax +
+ cos–1 (x – 4x + 5) = 0 dk de ls
2 2 2
sin–1 (x – 4x + 5) + cos–1 (x – 4x +
de ,d gy gks] rks 'a' dk eku gS % 5) = 0 has at least one solution, is :
1) 2π 2) – 2 + π 1) 2π 2) – 2 + π
π π π π
3) −2− 4) − 3) −2− 4) −
4 4 4 4

129. ,d eSnku leyEc prqHkZqt ds vkdkj dk 129. A field in the shape of a trapezium
gS ftldh lekUrj Hkqtk,¡ 25 ehVj vkSj whose parallel sides are 25 m and
10 ehVj gSa vkSj vlekUrj Hkqtk,¡ 14 10 m. The non-parallel sides are
ehVj vkSj 13 ehVj gSaA eSnku dk {ks=Qy 14 m and 13 m. The area of the
gS % field is :
1) 84 eh
2
1) 84 m2
2) 100 eh
2
2) 100 m2
3) 196 eh
2
3) 196 m2
4) 112 eh
2
4) 112 m2
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 1318 ]

[ 39 / A ]

130. rhu fu"i{k ?kukdkj ikls ,d lkFk Qsads 130. Three fair cubical dice are thrown
tkrs gSaA rhuksa iklksa ds Åij dh rjQ simultaneously. The probability
fn[kus okys Qydksa ij fcUnqvksa dh la[;k that all three dice have the same
leku gksus dh izkf;drk gS % number of dots on the faces showing
up is :
1 1 1 1
1) 2) 1) 2)
108 72 108 72
1 1 1 1
3) 4) 3) 4)
36 54 36 54

131. sin 55 ° cot 1 ° cot 2 ° cot 3 °...... cot 90 °
+ 131. The value of
cos 35 ° 1 + 2 + 3 + ...... + 90 sin 55° cot1° cot 2° cot 3°...... cot 90°
+
dk eku gS % cos 35° 1 + 2 + 3 + ...... + 90
is :
1) –1 2) 1 1) –1 2) 1
3) 0 4) ifjHkkf"kr ugha gS 3) 0 4) not defined

132. ,d f=Hkqt vkSj ,d lekukUrj prqHkZqt dk 132. A triangle and a parallelogram
vk/kkj ,d gh gSA ;fn f=Hkqt dh Hkqtk,¡ have the same base and the same
26 lseh] 28 lseh vkSj 30 lseh gksa] rFkk area. If the sides of the triangles
lekukUrj prqHkZqt] f=Hkqt ds vk/kkj 28 are 26 cm, 28 cm and 30 cm and
lseh ij [kM+k gks] rks lekukUrj prqHkZqt the parallelogram stands on the
dh Å¡pkbZ gS % base 28 cm, then the height of the
parallelogram is :
1) 10 lseh 2) 8 lseh 1) 10 cm 2) 8 cm
3) 7 lseh 4) 12 lseh 3) 7 cm 4) 12 cm
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 1318 ] P. T. O.

[ 40 / A ]

133. ekuk a, b vkSj c bl izdkj /ku iw.kkZad gSa 133. Let a, b and c be positive integers
b
fd b Hkh ,d iw.kkZad gSA ;fn a, b vkSj c such that
a
is an integer. If a, b and
a
xq.kkRed Js<+h esa gksa vkSj a, b rFkk c dk c are in geometric progression
2 and the arithmetic mean of a, b, c
lekUrj ek/; b + 2 gks] rks a + a − 14 is b + 2, then the value of
a +1 2
a + a − 14
dk eku gksxk % a +1
is :

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

134. ,d vuUr xq.kksÙkj Js<+h ds lHkh inksa dk 134. If sum of all terms of an infinite
;ksx mlds lHkh fo"ke inksa ds ;ksx dk 1
geometric progression is   times
1 5
  xquk gks] rks lkoZ vuqikr gksxk % the sum of its odd terms, then
5
common ratio is :

1) 1
2 1) 1
2
2) −1
3 2) −1
3
3) −4
5 3) −4
5
4) 1
5 4) 1
5
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 1318 ]

[ 41 / A ]

135. leqPp; {1, 2, {1, 2, 3}} ds lnL;ksa vkSj 135. Four statements are given below
blh leqPp; ds mileqPp;ksa ds lEcU/k esa regarding elements and subsets of
uhps pkj dFku fn;s x;s gSAa muesa ls dsoy the set {1, 2, {1, 2, 3}}. Only one of
,d lgh gSA blesa ls dkSu gS \ them is correct. Which one is it ?
1) {1, 2} ∈ {1, 2, {1, 2, 3}} 1) {1, 2} ∈ {1, 2, {1, 2, 3}}
2) {1, 2}, {1, 2, {1, 2, 3}} dk mfpr 2) {1, 2} is proper subset of
mileqPp; gS {1, 2, {1, 2, 3}}
3) {1, 2, 3}, {1, 2, {1, 2, 3}} dk mfpr 3) {1, 2, 3} is proper subset of
mileqPp; gS {1, 2, {1, 2, 3}}
4) 3 ∈ {1, 2, {1, 2, 3}} 4) 3 ∈ {1, 2, {1, 2, 3}}

136. ,d oØ y = f(x)] fcUnq P(1, 1) ls gksdj 136. A curve y = f(x) passes through
xqtjrk gSA fcUnq P(1, 1) ij oØ y = f(x) the point P(1, 1). The equation of
ds vfHkyEc dk lehdj.k (x – 1) + (y – 1) the normal at P(1, 1) to the curve
= 0 gS vkSj oØ esa fdlh Hkh fcUnq ij Li'kZ y = f(x) is (x – 1) + (y – 1) = 0 and
js[kk dh izo.krk] fcUnq dh dksfV ds the slope of the tangent at any
lekuqikrh gS] rks oØ dk lehdj.k gS % point on the curve is proportional
to the ordinate of the point, then
the equation of the curve is :
1) x2 + y2 = 1 1) x2 + y2 = 1
2) y2 = x 2) y2 = x
2 2
3) (y – 1) = (x – 1) 3) (y – 1) = (x – 1)
4) y = ex – 1 4) y = ex – 1
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 1318 ] P. T. O.

[ 42 / A ]
2
137. vody lehdj.k dy = 1− y o`Ùkksa ds 137. The differential equation
dx y
dy 1− y 2
,sls dqy (family) dks fu:fir djrk gS] = determine family of
dx y
ftudh %
circles with :
1) f=T;k,¡ pj gSa vkSj dsUnz (0, 1) ij 1) Variable radii and fixed centre
fLFkj gSA at (0, 1).
2) f=T;k,¡ pj gSa vkSj dsUnz (0, –1) ij 2) Variable radii and fixed centre
fLFkj gSA at (0, –1).
3) f=T;k 1 gS vkSj dsUnz x-v{k ds 3) Fixed radius 1 and variables
vuqfn'k gSA centres along x-axis.
4) f=T;k 1 gS vkSj dsUnz y-v{k ds
4) Fixed radius 1 and variables
vuqfn'k gSA centres along y-axis.

138. ;fn θ nks bdkbZ lfn'kksa â vkSj b̂ ds 138. If â and b̂ are two unit vectors
ˆ ˆ and θ is angle between them, then
chp dk dks.k gks] rks a − b cjkcj gS % aˆ − bˆ
2 is equal to :
2

θ θ
1) sin   1) sin  
2 2
2) sin θ 2) sin θ
3) 2 sin θ 3) 2 sin θ
4) sin 2θ 4) sin 2θ
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 1318 ]

[ 43 / A ]

139. ,d js[kk x +1 = y − 3 = z + 2 , fdlh lery 139. The equation of the plane passing
−3 2 1 through the point (0, 7, –7) and
esa fLFkr gSA ;fn ;g lery (0, 7, –7) ls x +1 y − 3 z + 2
containing the line = = ,
xqtjs] rks lery dk lehdj.k gS % −3 2 1
is :
1) x + 7y + 7z = 0 1) x + 7y + 7z = 0
2) x + 2y + z = 7 2) x + 2y + z = 7
3) x+y+z=0 3) x + y + z = 0
4) x + y – z = 14 4) x + y – z = 14

140. 10 Nk=ksa ds ,d lewg esa ls 5 Nk=ksa dk 140. A delegation of five students is to
,d izfrfuf/ke.My cuk;k tkuk gSA ;fn be formed from a group of 10
rhu fo'ks"k Nk= ,d lkFk jguk pkgrs gSa students. If three particular
tcfd nks fo'ks"k Nk= ,d lkFk ugha jguk students want to remain together
pkgrs gSa] rks p;u dh la[;k gS % whereas two particular students
do not want to remain together,
then the number of selection is :
1) 10 2) 20 1) 10 2) 20
3) 30 4) 35 3) 30 4) 35

141. ;fn a, b vkSj c bdkbZ ds ?kuewy gks]a rks 141. If a, b and c are cube roots of unity,
ea e 2a e 3a − 1 e a e 2a e 3 a − 1
eb e2 b e3 b − 1 = then e b e2 b e3 b − 1 =
ec e 2c e3 c − 1 ec e 2c e3 c − 1

1) 0 2) e 1) 0 2) e
3) e2 4) e3 3) e2 4) e3
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 1318 ] P. T. O.

[ 44 / A ]

100 log e x 100 log x
142. ∫10 log e x + log e (110 − x )
dx = 142. ∫10 log e x + logee (110 − x ) dx =
1) 90 2) 0 1) 90 2) 0
3) 45 4) 110 3) 45 4) 110

143. ;fn |z + 1| = 2 |z – 1|] tgk¡ 143. If |z + 1| = 2 |z – 1|, where
z = x + iy, x , y ∈ R gks] rks vkxZ.M lery z = x + iy, x , y ∈ R, then the locus
esa z dk fcUnq iFk gksxk % described by the point z in the
Argand plane is a :
1) ljy js[kk 2) o`Ùk 1) Straight line 2) Circle
3) ijoy; 4) nh?kZo`Ùk 3) Parabola 4) Ellipse

144. ;fn nks Qyu f rFkk g fuEu izdkj ls 144. If f and g are two functions
ifjHkkf"kr gksa] rks f + g dk izkUr gksxk % defined as f(x) = x + 2, x ≤ 0 ;
f(x) = x + 2, x ≤ 0 ; g(x) = 3, x ≥ 0 g(x) = 3, x ≥ 0, then the domain of
f + g is :
1) {0} 2) [0, ∞) 1) {0} 2) [0, ∞)
3) (–∞, ∞) 4) (–∞, 0) 3) (–∞, ∞) 4) (–∞, 0)

145. ,d ?kukHk dh yEckbZ] pkSM+kbZ vkSj xgjkbZ 145. The sum of length, breadth and
dk ;ksx 19 lseh gS vkSj blds fod.kZ dh depth of a cuboid is 19 cm and the
yEckbZ 11 lseh gSA ?kukHk dk i`"Bh; length of its diagonal is 11 cm. The
{ks=Qy gS % surface area of the cuboid is :
1) 120 lseh 2) 240 lseh
2 2
1) 120 cm2 2) 240 cm2
3) 360 lseh 4) 140 lseh
2 2
3) 360 cm2 4) 140 cm2
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 1318 ]

[ 45 / A ]

146. 60 ehVj Å¡ph ,d bekjr ds 'kh"kZ ls ,d 146. From the top of a building 60 m
VkWoj ds 'kh"kZ vkSj ry ds voueu dks.k high the angles of depression of
30° vkSj 60° ns[ks x, gSAa VkWoj dh Å¡pkbZ the top and the bottom of a tower
gS % are observed to be 30° and 60°.
The height of the tower is :
1) 40 ehVj 1) 40 m
2) 80 ehVj 2) 80 m
3) 60 ehVj 3) 60 m
4) 20 ehVj 4) 20 m

147. fdUgha nks leqPp;ksa S vkSj T ds fy, S∆T 147. For any two sets S and T, S∆T is
dks mu lHkh lnL;ksa ds :i esa ifjHkkf"kr defined as the set of all elements
fd;k x;k gS] tks ;k rks S esa gS ;k T esa that belong to either S or T but not
gS] ysfdu nksuksa esa ugha gS] vFkkZr~ S∆T = both, that is, S∆T = (S∪T) – (S∩T).
(S∪T) – (S∩T)A ekuk A, B vkSj C rhu Let A, B and C be sets such that
,sls leqPp; gSa fd A ∩ B ∩ C = { }, vkSj A ∩ B ∩ C = { }, and the number of
A∆B, B∆C vkSj C∆A esa izR;sd esa elements in each of A∆B, B∆C and
lnL;ksa dh la[;k 100 ds cjkcj gSA C∆A equals 100. Then the number
A ∪ B ∪ C esa lnL;ksa dh la[;k gS % of elements in A ∪ B ∪ C equals :
1) 150 1) 150
2) 300 2) 300
3) 230 3) 230
4) 210 4) 210
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 1318 ] P. T. O.

[ 46 / A ]

148. vk¡dM+ksa 2, 9, 9, 3, 6, 9, 4 ds fy, ek/; 148. The mean deviation of the data
ds lkis{k ek/; fopyu gS % 2, 9, 9, 3, 6, 9, 4 from the mean is :
1) 0 2) 2.57 1) 0 2) 2.57
3) 1.57 4) 3.57 3) 1.57 4) 3.57

149. ,d jsyxkM+h 480 km dh nwjh leku pky 149. A train travels a distance of 480 km
ls r; djrh gSA ;fn bldh pky 8 km/h at a uniform speed. If the speed had
de gksrh] rks og mlh nwjh dks r; djus been 8 km/h less, then it would have
esa 3 ?kaVs vf/kd ysrhA jsyxkM+h dh pky taken 3 hours more to cover the same
dks f}?kkr lehdj.k ds :i esa fu:fir distance. Formulate the quadratic
dhft, % equation in terms of the speed of
the train :
1) x 2 + 8 x + 1280 = 0 1) x 2 + 8 x + 1280 = 0
2) x 2 − 8 x + 1280 = 0 2) x 2 − 8 x + 1280 = 0
3) x 2 − 8 x − 1280 = 0 3) x 2 − 8 x − 1280 = 0
4) x 2 + 8 x − 1280 = 0 4) x 2 + 8 x − 1280 = 0
150. ekuk f : (4, 6) → (6, 8) ,d Qyu gS] 150. Let f : (4, 6) → (6, 8) be a function
x
tks f ( x ) = x +  x  ] tgk¡ [.] egÙke iw.kkZad defined by f ( x ) = x +   , where
2 2
[.] denotes the greatest integer
Qyu gS] }kjk ifjHkkf"kr gSA vr% f −1( x ) =
function, then f −1( x ) is :
x x
1) x −  2) –x – 2 1) x −  2) –x – 2
2 2
1 1
3) x – 2 4) 3) x – 2 4)
x x
x+  x + 
2 2
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 1318 ]

jQ dk;Z ds fy, [FOR ROUGH WORK]

6. iz'uksa ds mÙkj] mÙkj i=d esa fu/kkZfjr [kkuksa dks dkys ckWy IokbaV iSu ls 6. Answers to questions in answer sheet are to be given by
iw.kZr;k Hkjuk gS] tSlk fd uhps fn[kk;k x;k gS % darkening complete circle using Black ball point pen as shown
1  3 4 below :
vki }kjk fn;k x;k mÙkj xyr ekuk tk,xk] ;fn mÙkj okys [kkus dks 1  3 4
fuEu izdkj ls Hkjrs gSa % The answer will be treated wrong, if it is marked, as given below :
   
    

;fn ,d ls T;knk [kkuksa dks Hkj nsrs gSa rks vkidk mÙkj xyr ekuk If you fill more than one circle it will be treated as a wrong
tk,xkA answer.

7. jQ dk;Z iz'u&iqfLrdk esa bl iz;kstu ds fy, nh xbZ [kkyh txg ij gh djsAa / Rough work should be done only in the space provided in the
Question Booklet for the same.

8. lHkh mÙkj dsoy OMR mÙkj i=d ij gh vafdr djsAa vius mÙkj /;kuiwod
Z vafdr djsAa mÙkj cnyus gsrq 'osr jatd ¼lQsn ¶Y;wM½ dk iz;ksx fuf"k) gSA /
The answers are to be recorded on the OMR Answer Sheet only. Mark your responses carefully. Whitener (white fluid) is not
allowed for changing answers.

9. izR;sd iz'u ds fy, fn, x, pkj fodYiksa esa ls mfpr fodYi ds fy, OMR mÙkj i=d ij dsoy ,d o`Ùk dks gh iwjh rjg dkys ckWy IokbaV iSu ls HkjsAa
,d ckj mÙkj vafdr djus ds ckn mls cnyk ugha tk ldrk gSA / Out of the four alternatives for each question, only one circle for the most
appropriate answer is to be darkened completely with Black Ball Point Pen on the OMR Answer Sheet. The answer once marked is
not allowed to be changed.

10. vH;FkhZ lqfuf'pr djsa fd bl mÙkj i=d dks eksM+k u tk, ,oa ml ij dksbZ vU; fu'kku u yxk,¡A vH;FkhZ viuk vuqØekad mÙkj i=d esa fu/kkZfjr LFkku
ds vfrfjDr vU;= u fy[ksAa / The candidates should ensure that the Answer Sheet is not folded. Do not make any stray mark on the
Answer Sheet. Do not write your Roll No. anywhere else except in the specified space in the Answer Sheet.

11. iz'u&iqfLrdk ,oa mÙkj i=d dk /;kuiwoZd iz;ksx djs]a D;ksafd fdlh Hkh ifjfLFkfr esa [iz'u&iqfLrdk ,oa mÙkj i=d ds Øekad esa fHkUurk dh fLFkfr dks
NksM+dj] nwljh iz'u iqfLrdk lSV miyC/k ugha djokbZ tk,xhA / Handle the Question Booklet and Answer Sheet with care, as under no
circumstances [except for discrepancy in Question Booklet and Answer Sheet Serial No., another set of Question Booklet will not
be provided.]

12. iz'u&iqfLrdk@mÙkj i=d esa fn, x, Øekad dks vH;FkhZ lgh rjhds ls gLrk{kj pkVZ esa fy[ksAa / The candidates should write the correct Number as
given in the Question Booklet/Answer Sheet in the Signature Chart.

13. vH;FkhZ dks ijh{kk gkWy@d{k esa izo's k i= vkSj igpku i= ds vfrfjDr fdlh izdkj dh ikB~;&lkexzh] eqfnzr ;k gLrfyf[kr dkxt dh ifpZ;k¡] istj] eksckby
Qksu] bysDVªkWfud midj.k ;k fdlh vU; izdkj dh lkexzh dks ys tkus ;k mi;ksx djus dh vuqefr ugha gSA / Candidates are not allowed to carry any
textual material, printed or written, bits of papers, pager, mobile phone, electronic device or any other material except the Admit
Card and Identity Card inside the examination hall/room.

14. i;Zo{s kd }kjk iwNs tkus ij izR;sd vH;FkhZ viuk izo's k dkMZ [jksy ua0] vkSj igpku i= fn[kk,¡A / Each candidate must show on demand his/her
Admit Card [Roll No.] and identity card to the Invigilator.

15. dsUnz v/kh{kd ;k i;Zo{s kd dh fo'ks"k vuqefr ds fcuk dksbZ vH;FkhZ viuk LFkku u NksMaAs+ / No candidate, without special permission of the
Superintendent or Invigilator, should leave his/her seat.

16. dk;Zjr i;Zo{s kd dks viuk mÙkj i=d fn, fcuk ,oa gLrk{kj pkVZ ij nksckjk gLrk{kj fd, fcuk vH;FkhZ ijh{kk gkWy ugha NksMaxs+ As ;fn fdlh vH;FkhZ us
nwljh ckj gLrk{kj pkVZ ij gLrk{kj ugha fd, rks ;g ekuk tk,xk fd mlus mÙkj i=d ugha ykSVk;k gS vkSj ;g vuqfpr lk/ku dk ekeyk ekuk tk,xkA
OMR mÙkj i=d esa fu/kkZfjr LFkku ij lHkh vH;fFkZ;ksa }kjk ck;sa gkFk ds vaxwBs dk fu'kku yxk;k tkuk gSA vaxB
w s dk fu'kku yxkrs le; bl ckr dk
/;ku j[kk tk, fd L;kgh lgh ek=k esa gh yxkbZ tk, vFkkZr~ L;kgh dh ek=k u rks cgqr vf/kd gks o u gh cgqr deA / The candidates should not
leave the Examination Hall without handing over their Answer Sheet to the Invigilator on duty and signing the Signature Chart
twice. Cases where a candidate has not signed the Signature Chart second time will be deemed not to have handed over the
Answer Sheet and dealt with as an unfair means case. All candidates have to affix left hand thumb impression on the OMR
answer sheet at the place specified which should be properly inked i.e. they should not be either over inked or dried in
nature.

17. bysDVªkWfud@gLrpkfyr ifjdyd dk mi;ksx oftZr gSA / Use of Electronic/Manual Calculator is prohibited.
18. ijh{kk gkWy esa vkpj.k ds fy,] vH;FkhZ foojf.kdk esa nh xbZ izfØ;k@fn'kk&funs'Z k o cksMZ ds lHkh fu;eksa ,oa fofu;eksa dk fo'ks"k /;ku j[ksAa vuqfpr lk/kuksa ds
lHkh ekeyksa dk QSlyk cksMZ ds fu;eksa ,oa fofu;eksa ds vuqlkj gksxkA / The candidates are governed by Guidelines/Procedure given in the
Information Bulletin, all Rules and Regulations of the Board with regard to their conduct in the Examination Hall. All cases of unfair
means will be dealt with as per Rules and Regulations of the Board.

19. fdlh gkyr esa iz'u&iqfLrdk vkSj mÙkj i=d dk dksbZ Hkkx vyx u djsAa (No part of the Question Booklet and Answer Sheet shall be detached
under any circumstances.

20. ijh{kk lEiUu gksus ij] vH;FkhZ d{k@gkWy NksM+us ls iwoZ mÙkj i=d d{k&i;Zo{s kd dks vo'; lkSia nsAa vH;FkhZ vius lkFk bl iz'u&iqfLrdk dks ys tk ldrs
gSAa / On completion of the test, the candidate must hand over the Answer Sheet to the Invigilator in the Room/Hall. The candidates
are allowed to take away this Question Booklet with them.