HTET 2024 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. – 5318 Level – 3
[ PGT – For Lecturer ]
Exam., 2024
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, 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
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 : Languages : [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. cqf) ds laca/k esa fuEufyf[kr esa ls dkSu&lk 1. Which of the following statements
dFku lR; ugha gS \ regarding intelligence are not true ?

(a) ckSf)d fodkl ij vkuqoaf'kdrk dk (a) Intellectual development is
izHkko iM+rk gS] okrkoj.k dk ughaA influenced by genetics, not
environment.

(b) ySafxd fHkUurk ckSf)d fHkUurk dk (b) Gender differences do not
dkj.k ugha gksrhA cause intellectual differences.

(c) rhoz cqf)] rhoz Lej.k'kfDr dh (c) Sharp intelligence is a sign of
ifjpk;d gksrh gSA sharp memory.

(d) cqf) uohu ifjfLFkfr;ksa esa lek;kstu (d) Intelligence gives the ability to
dh ;ksX;rk nsrh gSA adjust in new situations.

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

(1) (a) ,oa (b) (1) (a) and (b)

(2) (a) ,oa (c) (2) (a) and (c)

(3) (b) ,oa (d) (3) (b) and (d)

(4) (c) ,oa (d) (4) (c) and (d)

2. fuEufyf[kr esa ls dkSu vkuqoaf'kdrk ls 2. Which of the following is not
izHkkfor ugha gksrk \ influenced by heredity ?

(1) vfHk{kerk (1) Aptitude

(2) vfHko`fÙk (2) Attitude

(3) laosx (3) Emotions

(4) vfHk#fp (4) Interest

[ Level-3 / 5318 ] P. T. O.

[4/A]

3. fuEufyf[kr esa ls dkSu&lh ySafxd i{kikriw.kZ 3. Which of the following gender
fØ;k,¡ 'kSf{kd vH;klksa esa lfEefyr ugha biased actions are not to be
gksuh pkfg, \ involved in educational practices ?
(a) ltkrh; lewgu (a) Homogeneous grouping
(b) fyax rVLFk fo"k;-oLrq (b) Gender neutral content
(c) :f<+c) O;kolkf;d ekxZn'kZu (c) Stereotyped occupation
guidance
(d) f'k{kd dh iwokZxzgh vfHko`fÙk (d) Teacher's prejudiced attitude
lgh dwV dk p;u dhft, % Choose the correct code :
(1) (a) ,oa (b) (1) (a) and (b)
(2) (a), (c) ,oa (d) (2) (a), (c) and (d)
(3) (c) ,oa (d) (3) (c) and (d)
(4) (a), (b) ,oa (c) (4) (a), (b) and (c)

4. fuEufyf[kr esa ls dkSu&lk uohu y{k.kksa ds 4. Which of the following is not an
vf/kxzg.k ds vUrxZr fodklkRed ifjorZu example of developmental changes
dk ,d mnkgj.k ugha gS \ under acquisition of new features ?
(1) LFkk;h nk¡r (1) Permanent teeth
(2) izkFkfed ySafxd fo'ks"krk,¡ (2) Primary sex characteristics
(3) f}rh;d ySafxd fo'ks"krk,¡ (3) Secondary sex characteristics
(4) Fkk;el xzafFk (4) Thymus gland

5. cPpksa esa lkekthdj.k dks c<+kok nsus esa 5. Which of the following is not a
f'k{kd dk fuEufyf[kr esa ls dkSu&lk dk;Z helpful action of teacher in promoting
lgk;d ugha gS \ socialization among children ?
(1) oS;fDrd ifj;kstuk dk;Z nsuk (1) Giving the individual project
work
(2) lkekftd ftEesnkfj;k¡ lkSaiuk (2) Assigning social responsibilities
(3) lg-ikB~;xkeh xfrfof/k;ksa dk vk;kstu (3) Organizing co-curricular
djuk activities
(4) lkekftd lgHkkfxrk ds fy, vfHkizsfjr (4) Motivating for social
djuk participation

[ Level-3 / 5318 ]

[5/A]

6. fo|kfFkZ;ksa dh lexz miyfC/k vkSj izoh.krk 6. When the assessment is designed to
dk ewY;kadu djus ds fy,] lh[kus dh evaluate student's overall
vof/k ds var esa vfHkdfYir ewY;kadu achievement and proficiency at the
dgykrk gS % end of a learning period is known as :
(1) lh[kus dk ewY;kadu (1) Assessment of learning
(2) funku ds fy, ewY;kadu (2) Assessment for diagnosing
(3) lh[kus ds fy, ewY;kadu (3) Assessment for learning
(4) mipkj ds fy, ewY;kadu (4) Assessment for remedy

7. fodkl ,oa vf/kxe ds lkFk mlds laca/k ds 7. Which statement is incorrect about
ckjs esa dkSu-lk dFku xyr gS \ the development and its relationship
with learning ?
(1) lh[kus ds voljksa ls oafpr gksuk fodkl
(1) Deprivation of learning
dks lhfer djrk gSA opportunities limits
development.
(2) cPps rc rd ugha lh[k ldrs tc rd (2) Children can not learn until
os fodklkRed :i ls lh[kus ds fy, they are developmentally ready
rS;kj u gksaA to learn.
(3) fodkl ifjiDork vkSj lh[kus dk mRikn gSA (3) Development is the product of
maturation and learning.
(4) ifjiDork dh lhekvksa ds ckotwn tc
(4) Despite the limits of maturation
lh[kus dks izksRlkfgr fd;k tkrk gS rks the development can go beyond
fodkl ,d fuf'pr fcUnq ls vkxs tk a certain point, when learning
ldrk gSA is encouraged.

8. fuEufyf[kr esa ls dkSu&lk dFku oS;fDrd 8. Which of the following statement is
fHkUurk ds laca/k esa lgh ugha gS \ not correct regarding individual
differences ?
(1) oS;fDrd fHkUurk KkukRed ,oa fØ;kRed (1) Individual differences exist in
nksuksa {ks=ksa esa gksrh gSA both cognitive and psychomotor
domain.
(2) oS;fDrd fHkUurk ij iztkfrxr (2) Species characteristics influence
fo'ks"krkvksa dk izHkko iM+rk gSA individual differences.
(3) oS;fDrd fHkUurk dk dkj.k lkekftd (3) The cause of individual
okrkoj.k gksrk gS] HkkSfrd okrkoj.k differences is the social
ughaA environment, not the physical
environment.
(4) oS;fDrd fHkUurk ij vk;q dk Hkh (4) Age also has an effect on
izHkko iM+rk gSA individual differences.
[ Level-3 / 5318 ] P. T. O.

[6/A]

9. fuEufyf[kr esa ls iz'uksa dk dkSu-lk izdkj 9. Which of the following types of
fo|kfFkZ;ksa ds Hkkoksa dh vfHkO;fDr ,oa rkfdZd questions is not suitable for testing
fparu dh tk¡p ds fy, mi;qDr ugha gS \ student's expression of feelings
and logical thinking ?
(1) fo'ys"k.kkRed izdkj (1) Analytical type
(2) lekykspukRed izdkj (2) Critical type
(3) foospukRed izdkj (3) Discussion type
(4) cgq fodYikRed izdkj (4) Multiple option type

10. fuEufyf[kr esa ls dkSu&lh oafpr ckydksa 10. Which of the following is not a
dh lkekU; fo'ks"krk ugha gS \ common characteristic of deprived
children ?
(1) os 'kkjhfjd :i ls v{ke fn[krs gSa (1) They look physically challenged
(2) os lkekftd :i ls vykHkkfUor gksrs gSa (2) They are socially disadvantaged
(3) os vkfFkZd :i ls oafpr gksrs gSa (3) They are economically deprived
(4) os laosxkRed :i ls ghu eglwl djrs gSa (4) They feel emotionally inferior

11. lekos'kh f'k{kk fof'k"V vko';drk okys 11. Which constitutional right of
cPpksa ds fdl laoS/kkfud vf/kdkj dh j{kk children with special needs does
djrh gS \ inclusive education protect ?
(1) f'k{kk dk vf/kdkj (1) Right to Education
(2) lEeku dk vf/kdkj (2) Right to Respect
(3) LohÑfr dk vf/kdkj (3) Right to Acceptance
(4) ,dhdj.k dk vf/kdkj (4) Right to Integration

12. ouZu ds inkuqØfed cqf) fl)kUr ds lgh 12. Select the correct sequence (top to
vuqØe ¼Åij ls uhps½ dk p;u dhft, % bottom) of hierarchical intelligence
theory of Vernon :
(1) lkekU; dkjd → fof'k"V dkjd → (1) General factor → Specific factor
izeq[k dkjd → y?kq dkjd → Major factor → Minor factor
(2) fof'k"V dkjd → lkekU; dkjd → (2) Specific factor → General factor
y?kq dkjd → izeq[k dkjd → Minor factor → Major factor
(3) lkekU; dkjd → izeq[k dkjd → (3) General factor → Major factor →
y?kq dkjd → fof'k"V dkjd Minor factor → Specific factor
(4) izeq[k dkjd → lkekU; dkjd → (4) Major factor → General factor →
fof'k"V dkjd → y?kq dkjd Specific factor → Minor factor

[ Level-3 / 5318 ]

[7/A]

13. fuEufyf[kr esa ls dkSu&lk vftZr vfHkizsjd 13. Which of the following is not an
ugha gS \ acquired motive ?
(1) laca/ku (2) miyfC/k (1) Affiliation (2) Achievement
(3) vuqeksnu (4) nnZ ifjotZu (3) Approval (4) Pain avoidance

14. ÝkW;M ds euksySafxd fodkl fl)kUr ds 14. According to Freud's psycho-sexual
vuqlkj] og voLFkk ftlesa fd'kksj foijhr development theory, the stage in
fyax ds izfr vkdf"kZr gksrs gSa] mls dgk which adolescent attracts towards
tkrk gS % opposite sex, is known as :
(1) fyax voLFkk (2) xqnk voLFkk (1) Phallic stage (2) Anal stage
(3) tuu voLFkk (4) vO;Dr voLFkk (3) Genital stage (4) Latency stage

15. mPp ek/;fed Lrj ds vf/kxedrkZvksa ds 15. Which strategies of learning is not
fy, lh[kus dh dkSu&lh j.kuhfr mi;qDr appropriate for the learner of
ugha gS \ senior secondary level ?
(1) vf/kxe dk;Z Le`fr Lrj ij djuk (1) Learning tasks at memory level
(2) Kku dh Lo;a [kkst djus nsuk (2) Allowing self-discovery of
knowledge
(3) d{kk vUr%fØ;k dks mfpr LFkku nsuk (3) Giving appropriate space to
classroom interaction
(4) f'k{k.k&vf/kxe fo|kFkhZ dsfUnzr gksuk (4) Student centered teaching-
learning

16. fuEufyf[kr esa ls dkSu&lh lh[kus dh cky 16. Which of the following is not a child
dsfUnzr fof/k ugha gS \ centered method of learning ?
(1) izn'kZu (1) Demonstration
(2) {ks= Hkze.k (2) Field Trip
(3) vfHkØfer vuqns'ku (3) Programmed Instruction
(4) izk;kstuk (4) Project

17. ^ys[ku {kerk dk ,d fodkj ftlesa vf/kxedrkZ 17. 'A disorder of writing ability in which
dks v{kj fuekZ.k] orZuh] xR;kRed leUo; a learner has difficulty with letter
vkfn esa dfBukbZ gksrh gSA* ;g fodkj formation, spelling, fine motor
dgykrk gS % co-ordination etc.' This disorder is
called as :
(1) fMLysfDl;k (2) fMLxzkfQ;k (1) Dyslexia (2) Dysgraphia
(3) fMLizsfDl;k (4) fMLdSYdqfy;k (3) Dyspraxia (4) Dyscalculia

[ Level-3 / 5318 ] P. T. O.

[8/A]

18. Jo.k ckf/kr cPpksa ds fy, fuEufyf[kr esa 18. Which of the following ways of
ls dkSu-lk vuqns'ku dk rjhdk mi;qDr instruction is suitable for hearing
gS \ impaired children ?
(a) lkadsfrd Hkk"kk (a) Sign language
(b) vaxqyh orZuh (b) Finger spelling
(c) vks"B iBu (c) Lip reading
(d) ladsfrr Hkk"k.k (d) Cued speech
lgh dwV dk p;u dhft, % Choose the correct code :
(1) (a) ,oa (c) (1) (a) and (c)
(2) (a), (b) ,oa (c) (2) (a), (b) and (c)
(3) (a), (c) ,oa (d) (3) (a), (c) and (d)
(4) (a), (b), (c) ,oa (d) (4) (a), (b), (c) and (d)

19. fuEufyf[kr esa ls dkSu-lk izxfr'khy f'k{kk 19. Which one of the following is
dk ,d ?kVd ugha gS \ not a component of progressive
education ?
(1) fopkj&foe'kZ (1) Discussion
(2) Lej.k (2) Memorization
(3) vuqHko (3) Experientation
(4) var%fØ;k (4) Interaction

20. fuEufyf[kr esa ls dkSu&lh lrr ,oa O;kid 20. Which of the following is not a
ewY;kadu dh fo'ks"krk ugha gS \ feature of continuous and
comprehensive evaluation ?
(1) Regularity of assessment
(1) ewY;kadu dh fu;ferrk
(2) Frequency of unit tests
(2) bdkbZ ijh{k.kksa dh vko`fÙk
(3) Diagnosis of learning gaps
(3) lh[kus dh dfe;ksa dk funku (4) Measuring only scholastic
(4) dsoy 'kSf{kd miyfC/k dks ekiuk achievement

21. fuEufyf[kr esa ls dkSu&lk f'k{k.k&vf/kxe 21. Which of the following is not an
dks izHkkfor djus okyk okrkoj.kh; dkjd environmental factor affecting
ugha gS \ teaching-learning ?
(1) vf/kxe lkexzh (1) Learning material
(2) HkkSfrd fLFkfr;k¡ (2) Physical conditions
(3) euksjatu dh lqfo/kk,¡ (3) Recreational facilities
(4) ifjiDork (4) Maturation

[ Level-3 / 5318 ]

[9/A]

22. fuEufyf[kr esa ls dkSu&lh lekos'kh f'k{kk 22. Which of the following is not a
dh ,d fo'ks"krk ugha gS \ characteristic of inclusive
education ?
(1) ;g fof'k"V 'kSf{kd vko';drkvksa dk (1) It supports special educational
leFkZu djrh gS needs
(2) ;g fofo/krk dk mRlo eukus dh ckr (2) It says to celebrate diversity
dgrh gS
(3) ;g v/;kid] vfHkHkkod] ckyd ,oa (3) This ensures the participation of
lekt dh lgHkkfxrk lqfuf'pr djrh gS teacher, parents, child and society
(4) ;g v'kDr cPpksa dh fof'k"V f'k{kk (4) It is limited to the special
rd lhfer jgrh gS education of disabled children

23. dksg~ycxZ ds uSfrd fodkl fl)kUr dh 23. Match the following stages of
fuEufyf[kr voLFkkvksa dks mudh fo'ks"krk Kohlberg's moral development
ds lkFk lqesfyr dhft, % theory with their characteristics :
uSfrd voLFkk,¡ fo'ks"krk Moral Stages Characteristics

(a) buke ds ykyp esa (i) nwljksa dh LohÑfr (a) Conforming to (i) Getting the

vuqikyu ikuk obtain reward approval of others

(b) lkekftd O;oLFkk (ii) LokFkZiwfrZ ij vk/kkfjr (b) Maintaining (ii) Stage based on

cuk, j[kuk voLFkk social order self-interest

(c) vPNs vUr%oS;fDrd (iii) vUr%dj.k }kjk ekU; (c) Good (iii) Eternal value

lac/a k 'kk'or ewY; interpersonal accepted by

(d) lkoZHkkSfed uSfrd (iv) U;k; ,oa dkuwu dks relationships conscience

fl)kUr egÙo (d) Universal ethical (iv) Importance of

principles justice and law

lgh dwV dk p;u dhft, % Choose the correct code :
(a) (b) (c) (d) (a) (b) (c) (d)
(1) (ii) (iv) (i) (iii) (1) (ii) (iv) (i) (iii)
(2) (iii) (i) (ii) (iv) (2) (iii) (i) (ii) (iv)
(3) (iv) (iii) (i) (ii) (3) (iv) (iii) (i) (ii)
(4) (i) (ii) (iv) (iii) (4) (i) (ii) (iv) (iii)

[ Level-3 / 5318 ] P. T. O.

[ 10 / A ]

24. ltZu'khy cPpksa dh igpku gsrq f'k{kd 24. Which tests can be administered
}kjk dkSu&ls ijh{k.k iz'kkflr fd, tk by the teacher to identify creative
ldrs gSa \ children ?
(a) vkÑfr fuekZ.k ijh{k.k (a) Figure construction test
(b) mRikn mUu;u ijh{k.k (b) Product improvement test
(c) izpfyr mi;ksx ijh{k.k (c) Usual uses test
(d) fp= iwfrZ ijh{k.k (d) Picture completion test
lgh dwV dk p;u dhft, % Choose the correct code :
(1) (a) ,oa (d) (1) (a) and (d)
(2) (b) ,oa (c) (2) (b) and (c)
(3) (a), (b) ,oa (d) (3) (a), (b) and (d)
(4) (a), (b), (c) ,oa (d) (4) (a), (b), (c) and (d)

25. fi;kts ds laKkukRed fodkl fl)kUr ds 25. According to Piaget's cognitive
vuqlkj] tc vf/kxedrkZ vius vkSj vius development theory, when the
i;kZoj.k ds chp mfpr rkyesy cuk, learner maintaining a proper balance
j[krk gS] rks ;g izfØ;k dgykrh gS % between himself/herself and his/her
environment, this mechanism is
called as :
(1) lek;ksthdj.k (1) Accommodation
(2) vkRelkrhdj.k (2) Assimilation
(3) larqyuhdj.k (3) Equilibration
(4) ,dhdj.k (4) Integration

26. izkjafHkd fd'kksjkoLFkk esa laosxksa ds laca/k esa 26. Which option is correct regarding
dkSu&lk fodYi lgh gS \ emotions in early adolescence ?
(1) rhoz ,oa ;qfDrlaxr (1) Intense and rational
(2) vfu;af=r ,oa ;qfDrlaxr (2) Uncontrolled and rational
(3) vfu;af=r ,oa v;qfDrlaxr (3) Uncontrolled and irrational
(4) fu;af=r ,oa rhoz (4) Controlled and intense

[ Level-3 / 5318 ]

[ 11 / A ]

27. c.Mwjk ds lkekftd vf/kxe fl)kUr ds 27. Arrange the steps of Bandura's
lksikuksa dks Øe ls O;ofLFkr dhft, % social learning theory in sequence :
(a) O;ogkj dk izR;{khdj.k (a) Perception of behaviour
(b) O;ogkj dk iqucZyu (b) Reinforcement of behaviour
(c) O;ogkj dk Lej.k (c) Remember of behaviour
(d) Lej.k dh fØ;kRed ifj.kfr (d) Convert the memory into action
lgh dwV dk p;u dhft, % Choose the correct code :
(1) (a), (c), (d), (b) (1) (a), (c), (d), (b)
(2) (b), (a), (c), (d) (2) (b), (a), (c), (d)
(3) (c), (d), (a), (b) (3) (c), (d), (a), (b)
(4) (b), (c), (d), (a) (4) (b), (c), (d), (a)

28. lekos'kh f'k{kk dh n`f"V ls fuEufyf[kr esa 28. Which of the following should not be
ls dkSu&lh fu%'kDr cPpksa dh vko';drk a need of children with impairment
ugha gksuh pkfg, \ from the point of view of inclusive
education ?
(1) Lo;a dh fu%'kDrrk ls fuiVus dh
(1) Need for coping with own's
vko';drk impairment
(2) mfpr funsZ'ku ,oa ijke'kZ dh (2) Need for proper guidance &
vko';drk counselling
(3) nwljksa ij fuHkZj jgus dh vko';drk (3) Need for being dependent on
others
(4) lgk;d midj.kksa dh vko';drk (4) Need for assistive equipments

29. lh[kus dh ifjfLFkfr esa lqlaxr rF;ksa dks 29. In a learning situation presenting
vlqlaxr rF;ksa ls vyx djds izLrqr relevant facts separately from non-
djuk] lh[kus ds fdl fu;e dk ifjpk;d relevant facts, is indicative of which
principle of learning ?
gS \
(1) Principle of multiple response
(1) cgq vuqfØ;k dk fu;e
(2) Principle of analogy
(2) lkn`';rk dk fu;e (3) Principle of prepotency of
(3) rÙo izcyrk dk fu;e elements
(4) lkgp;kZRed LFkkukarj.k dk fu;e (4) Principle of associative shifting

30. eSDMwxy ds vuqlkj] ^?k`.kk* dk laosx fdl 30. According to McDougall, the emotion
ewy izo`fÙk ds lkFk tqM+k gqvk gS \ of 'disgust' is associated with which
basic instinct ?
(1) fuo`fÙk (2) iyk;u
(1) Repulsion (2) Escape
(3) ;q;qRlk (4) ftKklk (3) Combat (4) Curiosity

[ Level-3 / 5318 ] 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. fuEufyf[kr esa ls ekSu okpu dk mís'; rks vius fy, vfuok;Zr% u;k f'kYi Hkh [kkstrh gSA
ugha gS % fo'ys"k.k ds fy, Hkys ge dF; vkSj f'kYi dks
(1) mfpr y; vkSj xfr iznku djukA vyx&Fkyx dj ysrs gS]a ij jpuk esa os v}Sr gSaA
(2) Lok/;k; dh vknr fodflr djukA
u;k varr% fujarjrk eas lekfgr gksdj viuh oS/krk
ikrk gS] ij og fujarjrk dks dgha u dgha cny Hkh
(3) rhoz xfr ls i<+us dk vH;kl djukA
nsrk gSA fujarjrk u, ds gLr{ksi vkSj mlds lekgkj
(4) vFkZ xzg.k dj mldk dsUnzh; Hkko ds ckn ogh ugha jg tkrh] tks igys FkhA ge ;g
le>ukA Hkwy tkrs gSa fd vkt tks iqjkuk yxrk gS] og dHkh
32. okD; esa iz;qDr fØ;k dh n`f"V ls vlaxr u;k FkkA fcuk ledkyhurk ds dkykrhr ugha gqvk
fodYi dk p;u dhft, % tk ldrk] ysfdu flQZ ledkyhurk ds ckM+s esa c¡/ks
(1) v/;kfidk Nk=kvksa dks Hkwxksy i<+k jgh jgdj Hkh dkykrhr ugha gqvk tk ldrkA u;k le;
gS & f}deZdfØ;k dks lh/ks vkSj mlds cnys gq, C;ksjksa esa idM+us ds
(2) fu'khFk tksj&tksj&ls g¡l jgk gS &
lkgl ls mitrk gS] ij vxj og le; ds ikj u
vdeZd fØ;k ns[k ik;s] rks fVdkÅ ugha gks ldrkA tks dkykrhr gS]
(3) enkjh vusd djrc fn[kykdj cPpksa
ogh gj le; u;k gksrk pyrk gSA
dks yypkrk gS & vdeZd fØ;k 33. lkfgR; dk vHkh"V gS %
(4) yM+&>xM+dj og viuk fgLlk ys gh
ejk & jatd fØ;k (1) ek= u, dks pquuk

funsZ'k % ¼iz'u la[;k 33-36½ fuEufyf[kr x|ka'k (2) ek= fujarjrk dks pquuk
dks /;kuiwoZd i<+dj uhps fn;s x;s iz'uksa ds mÙkj
nhft, % (3) u,iu ,oa fujarjrk nksuksa dks pquuk
u;k fu'p; gh ,d ewY; gSA ij fujarjrk Hkh ,d (4) ek= ledkyhu dks pquuk
ewY; gSA lkfgR; nksuksa eas ls ,d dks pquus dh
fgekdr lkSHkkX; ls ugha djrk gS] D;ksafd og tkurk 34. fuEufyf[kr eas ls dkSu&lk dFku lR; gS \
gS fd ,d ds fcuk nwljk laHko ugha gSA ijaijk vius
dks iquuZok fd, fcuk ltho ugha jg ldrhA euq"; (1) euq"; dh ewy izo`fÙk;k¡ le; ds lkFk
nksuksa vk;keksa esa jgrk gS % bfrgkl eas vkSj vuUr ifjorZu'khy gSaA
esAa og cnyrk gS vkSj fQj Hkh cuk jgrk gSA nksuksa
(2) euq"; dk lekt le; ds lkFk
vk;ke euq"; ds ;gk¡ varHkqZDr gSa & os vyx&Fkyx
;k fofoDr ugha gksrAs cgqr dqN cnyrk gS % lekt] ifjorZu'khy gSA
ifjfLFkfr;k¡] vkfFkZd O;kikj] ekuo laca/k vkSj muds (3) euq"; ek= bfrgkl esa thrk gSA
laxqaQu vkfn ij izse] bZ";kZ] eksg&eRlj] jkx&fojkx]
g"kZ&fo"kkn vkfn ogh cus jgrs gSAa u;h n`f"V gksrh gS] (4) fujarjrk lnSo vifjorZuh; gksrh gSA

[ Level-3 / 5318 ]

[ 13 / A ]

35. dkSu&lk dFku vlR; gS \ 40. fdl fodYi eas milxZ & foHkktu
(1) lkfgR; esa n`f"V dk vocks/ku dF; ls fu;ekuqlkj gS \
gksrk gSA (1) vifjxzg] vijks{k] vi.kZ & ^vi* milxZ
(2) uohu dF; vius fy, uohu f'kYi Hkh (2) vkj.;d] vko';d] vk/kqfud & ^vk*
ykrk gSA milxZ
(3) dF; vkSj f'kYi nksuksa ,d&nwljs ls (3) fu''kqYd] fu"i{k] fuLLokFkZ & ^ful~* milxZ
Lok;Ùk gksrs gSaA (4) O;kf/k] oh{k.k] O;frjsd & ^oh* milxZ
(4) lkfgfR;d jpuk esa dF; vkSj f'kYi 41. lekl dh n`f"V ls laxr fodYi pqfu, %
ijLij vuwL;wr gksrs gSaA (1) p{kqJok & brjsrj }U}
36. u;kiu fVdkÅ gksrk gS % (2) vkikneLrd & cgqozhfg
(1) tc og ledkyhu gksA (3) tkfrxr & vf/kdj.k rRiq#"k
(4) Jelk/; & dj.k rRiq#"k
(2) tc og ledkyhu Hkh gks vkSj
dkykrhr HkhA 42. fuEufyf[kr esa ls v'kq) 'kCn lewg dk
(3) tc mlesa peRdkj gksA p;u dhft, %
(4) tc og ijaijk dks cnyrk gksA (1) lh/kk lk/kk] vBksrj] mgkiksg
(2) nk'kjfFk] LFkkf;Ro] fo|kfFkZifj"kn~
37. izR;; dh n`f"V ls laxr foHkktu pqfu, % (3) lq/khtu] izs;lh] futhdj.k
(1) eSFkqu] 'kkSp] jk?ko & ^v* izR;; (4) os';k] 'kf'kHkw"k.k] 'kDrhdj.k
(2) fQdSr] MdSr] yM+Sr & ^,r* izR;;
43. fganh v/;kid dh fof'k"V fo'ks"krkvksa esa
(3) ukjnh;] LFkkuh;] ekuoh; & ^vuh;* izR;; lfEefyr ugha gS %
(4) dkS'ks;] lkStU;] dkSek;Z & ^,;* izR;; (1) lkfgR; dk Kku
38. fdl fodYi esa lkoZukfed fo'ks"k.k dk (2) Hkk"kk f'k{k.k dh fof/k;ksa dk Kku
iz;ksx ugha gqvk gS \ (3) fganh Hkk"kk ij fof'k"V vf/kdkj
(4) f'k{kk rFkk mikf/k;k¡
(1) ftlus ifjJe fd;k] og lQy gks
x;kA 44. o.kks± dh /ofuxr fo'ks"krkvksa ds lanHkZ eas
(2) ;g iqLrd fdlls e¡xokÅ¡A vlaxr pqfu, %
(3) ,sls O;fDr ij dHkh fo'okl er djksA (1) m & i'p] lao`r] o`Ùkeq[kh
(2) _ & vxz] lao`r] o`Ùkeq[kh
(4) vkids ?kj ls dy dksbZ ukSdj vk;k
(3) v & e/;] gzLo] mnklhu
FkkA
(4) vk & i'p] foo`r] vo`Ùkeq[kh
39. laf/k dh n`f"V ls vuqi;qDr fodYi pqfu, %
45. foykse dh n`f"V ls vlaxr fodYi pqfu, %
(1) nSR;kfj] xR;kuqlkj] vxU;k'k; & ;.k~ laf/k
(1) vkd`"V & fod`"V
(2) ferkgkj] fodykax] Hkw/oZ & nh?kZ laf/k (2) vkg~oku & vukg~oku
(3) fnfXot;] vCt] o`gUus= & O;atu laf/k (3) dyafdr & fu"dyad
(4) o;kso`)] iqjks/kk] izknqHkwZr & folxZ laf/k (4) ,sfgd & ikjykSfdd

[ Level-3 / 5318 ] 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. Fill in the blank with the correct
option : option :
Teaching learners to discuss a The two kinds of listening
poem in English in their native are …………. .
language is an instance of the use (1) active and passive
of ………… . (2) skimming and scanning
(1) evaluative comprehension (3) intensive and extensive
(2) multilingual resources (4) referential and inferential
(3) pre-reading skills Direction : (Q. No. 51 to 60) : Read the
(4) first language acquisition following poem and answer the
questions that follow :
47. Choose the correct option : Mother, I am the one
Assertion A : The disadvantage of you sent away
print material is that it lacks when the doctor told you
interaction and the use of audio- I would be
visual elements. a girl − In the end they had to
give me an injection to kill me.
Assertion B : Print materials are Before I died I heard
not portable, not easily available the traffic rushing outside, the monsoon
and are not cost effective. slush, the wind sulking through
(1) A is true; B is false your beloved Mumbai −
(2) B is true; A is false I could have clutched the neon blue
no one wanted −
(3) Both A & B are true No one wanted
(4) Both A & B are false To touch me − except later in the
autopsy room
48. Fill in the blank with the correct when they knew my mouth would not
option : search
for anything − and my head could be
Nesfield's grammar is an instance measured
of …………… grammar. and bent cut apart.
(1) universal (2) cognitive I looked like a sliced pomegranate.
(3) descriptive (4) prescriptive The fruit you never touched.
Mother, I am the one you sent away
49. Fill in the blank with the correct When the doctor told you
option : I would be a girl − your second girl.
Afterwards, as soon as you could
…………. skill involves training the
you put on your grass – green sari –
learner to listen for the English the orange stems of the parijatak
speech sounds including stress blossoms
and intonation patterns. glistened in your hair –
(1) listening (2) aural-oral Afterwards
(3) reading (4) writing everyone smiled.

[ Level-3 / 5318 ]

[ 15 / A ]
But now I ask you 55. Fill in the blank with the correct
to look for me, mother, option :
look for me because
According to the speaker the
I won't come to you in your dreams,
mother disliked ………. .
Look for me, mother, look
(1) oranges
because I won't become a flower
I won't turn into a butterfly (2) parijatak blossoms
And I am not a part of anyone's song. (3) pomegranates
Look, mother, (4) the grass-green sari
look for the place where you have 56. Find a word from the poem which
sent me. means "post mortem" :
Look for the unspeakable. (1) formaldehyde
for the place that can never be described. (2) injection to kill
Look for me, mother, because (3) neon blue
this is what you have done.
(4) autopsy
Look for me, mother, because
this is not 'God's will'. 57. Why was the infant in the womb
Look for me, mother killed ?
because I smell of formaldehyde − (1) because it was defective
I smell of formaldehyde (2) because the mother didn't want
and still, I wish you would look a second girl child
for me, mother. (3) doctor's mistake
51. Who does the girl address ? (4) it was ugly
(1) the doctor (2) the society 58. Which one of the following is used
(3) the father (4) the mother as a literary device in the poem for
effectiveness ?
52. In which city does the foeticide (1) repetition (2) climax
take place ? (3) irony (4) metaphor
(1) Delhi (2) Chennai
59. Fill in the blank with the correct
(3) Mumbai (4) Pune option :
53. What does the killed infant smell "I looked like a sliced pomegranate"
of ? is an example of …………. .
(1) formaldehyde (1) metaphor
(2) parijatak (2) an implied simile
(3) chlorine (3) irony
(4) slush (4) simile

54. Who is "I" in the opening line ? 60. Find the word in the poem which
means "shone due to being wet".
(1) the poet
(1) glistened
(2) the killed infant girl
(2) sulking
(3) mother (3) clutched
(4) the doctor (4) blossom

[ Level-3 / 5318 ] 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 10 fnlEcj] 2022 dks 'kfuokj Fkk] rks 61. If it was Saturday on 10th
8 fnlEcj] 2024 dks dkSu-lk fnu gksxk \ December, 2022, what will be the
day on 8th December, 2024 ?
(1) 'kfuokj (1) Saturday
(2) jfookj (2) Sunday
(3) lkseokj (3) Monday
(4) eaxyokj (4) Tuesday

62. ,d fuf'pr dwV Hkk"kk esa "sun shines 62. In a certain code language "sun
brightly" dks "ba lo sul", "houses shines brightly" is written as "ba lo
are brightly lit" dks "kado ula ari sul", "houses are brightly lit" as
ba" vkSj "light comes from sun" dks "kado ula ari ba" and "light comes
"dopi kup lo nro" fy[kk tkrk gSA from sun" as "dopi kup lo nro".
"sun" vkSj "brightly" ds fy, Øe'k% What code words are written for
fdu dwV 'kCnksa dks fy[kk x;k gS \ "sun" and "brightly" respectively ?
(1) sul, ba (2) sul, lo (1) sul, ba (2) sul, lo
(3) ba, lo (4) lo, ba (3) ba, lo (4) lo, ba

63. ;fn tan θ + sec θ = 4, rks cos θ dk 63. If tan θ + sec θ = 4, then the value
eku cjkcj gS % of cos θ is equal to :
17 8 17 8
(1) (2) (1) (2)
8 17 8 17
15 17 15 17
(3) (4) (3) (4)
17 15 17 15

64. 2880 dks iw.kZ oxZ cukus ds fy, dkSu-lh 64. What is the smallest number by
lcls NksVh la[;k ls foHkkftr djuk pkfg, \ which 2880 must be divided in
order to make it a perfect square ?
(1) 2 (2) 3 (1) 2 (2) 3
(3) 4 (4) 5 (3) 4 (4) 5

[ Level-3 / 5318 ]

[ 17 / A ]

65. P us 45,000 #i;s esa ,d O;olk; 'kq: 65. P began a business with Rs. 45,000
fd;k vkSj dqN le; ckn Q 30,000 #i;s and Q joined with Rs. 30,000 after
ds lkFk lfEefyr gqvkA ;fn o"kZ ds vUr some time. If the profit at the end
esa ykHk dks muds chp 2 : 1 ds vuqikr esa of the year were divided among
ck¡Vk x;k] rks Q dc lfEefyr gqvk \ them in the ratio 2 : 1, when did Q
join ?
(1) 3 ekg ckn (1) after 3 months
(2) 4 ekg ckn (2) after 4 months
(3) 5 ekg ckn (3) after 5 months
(4) 6 ekg ckn (4) after 6 months

66. ;fn rhu la[;k,¡ 3 : 2 : 5 ds vuqikr esa 66. If three numbers are in the ratio
bl çdkj gSa fd bu la[;kvksa ds oxks± dk 3 : 2 : 5 such that the sum of their
;ksx 1862 ds cjkcj gSA e/; okyh la[;k squares is equal to 1862, the
cjkcj gS % middle number is equal to :
(1) 7 (2) 14 (1) 7 (2) 14
(3) 21 (4) 35 (3) 21 (4) 35

67. 5,290 #i;s ds fy, A, B vkSj C us 67. A, B and C together completed a
feydj ,d dk;Z iw.kZ fd;kA A vkSj B us work for Rs. 5,290. A and B
19
19 together did of the whole work.
iwjs dk;Z dk Hkkx feydj iwjk fd;kA 23
23
Amount received by C in Rs. is
C }kjk çkIr jkf'k #0 esa cjkcj gS %
equal to :
(1) 920 (2) 900 (1) 920 (2) 900
(3) 880 (4) 850 (3) 880 (4) 850

68. ,d fuf'pr jkf'k ij 5% okf"kZd nj ls 2 68. The difference between the
o"kZ ckn pØo`f) C;kt vkSj ljy C;kt esa compound interest and simple
vUrj 15 #i;s gSA ewy/ku cjkcj gS % interest on a certain amount at 5%
per annum for 2 years is Rs. 15.
The principal amount is equal to :
(1) 2,000 (1) 2,000
(2) 4,000 (2) 4,000
(3) 6,000 (3) 6,000
(4) 8,000 (4) 8,000

[ Level-3 / 5318 ] P. T. O.

[ 18 / A ]

69. ,d o`Ùkkdkj {ks= dh f=T;k] ftldk {ks=Qy 69. The radius of a circular field,
8 eh0] 9 eh0 vkSj 12 eh0 f=T;kvksa okys whose area is equal to the sum of
Øe'k% rhu o`Ùkkdkj {ks=ksa ds {ks=Qy ds the area of the three circular fields
cjkcj gksrk gS] cjkcj gS % having radii 8 m, 9 m and 12 m
respectively, is equal to :
(1) 16 eh0 (2) 17 eh0 (1) 16 m (2) 17 m
(3) 18 eh0 (4) 19 eh0 (3) 18 m (4) 19 m

70. fuEu o.kZ Js.kh dk vxyk in Kkr dhft, % 70. Find the next term of the following
letter series :
MQNRO, JSKTL, GUHVI, DWEXF, ? MQNRO, JSKTL, GUHVI, DWEXF, ?
(1) AYBZC (2) AZCYC (1) AYBZC (2) AZCYC
(3) BYBYD (4) BZCZD (3) BYBYD (4) BZCZD

71. ,d oxZ vkSj ,d leckgq f=Hkqt ,d o`Ùk 71. A square and an equilateral
ds vUrxZr cuk;s tkrs gSaA ;fn a vkSj b triangle are inscribed in a circle. If
Øe'k% budh Hkqtk dh yEckbZ gSa] rks fuEu a and b denote the lengths of their
esa ls dkSu-lk lR; gS \ sides respectively, then which of
the following is true ?
(1) 2a 2 = 3 b 2 (2) 3a 2 = 2 b 2 (1) 2a 2 = 3 b 2 (2) 3a 2 = 2 b 2
(3) a 2 = 3b 2 (4) b 2 = 2a2 (3) a 2 = 3b 2 (4) b 2 = 2a 2
72. nks xksyksa dk i`"Bh; {ks=Qy esa 1 : 2 dk 72. The surface areas of the two
vuqikr gSA buds vk;ruksa esa vuqikr gS % spheres are in the ratio 1 : 2. The
ratio of their volumes is :
(1) 1 : 2 (2) 1 : 2
(1) 1 : 2 (2) 1 : 2
(3) 1 : 2 2 (4) 1 : 4
(3) 1 : 2 2 (4) 1 : 4
73. fuEu la[;k Js.kh esa yqIr in Kkr dhft, % 73. Find the missing term in the
following number series :
2, 9, 28, ?, 126, 217, 344 2, 9, 28, ?, 126, 217, 344
(1) 37 (2) 65 (1) 37 (2) 65
(3) 91 (4) 115 (3) 91 (4) 115

74. /kkrq ds csyukdkj ikbi dk vk;ru 748 74. The volume of the metallic
3
cylindrical pipe is 748 cm . Its
lseh3 gSA bldh yEckbZ 14 lseh vkSj bldh length is 14 cm and its external
ckgjh f=T;k 9 lseh gSA ikbi dh eksVkbZ radius is 9 cm. The thickness of
cjkcj gS % pipe is equal to :
(1) 0.25 lseh (2) 0.5 lseh (1) 0.25 cm (2) 0.5 cm
(3) 1.0 lseh (4) 1.5 lseh (3) 1.0 cm (4) 1.5 cm
[ Level-3 / 5318 ]

[ 19 / A ]

75. js[kk % oxZ % % pki % \ 75. Line : Square : : Arc : ?
(1) oy; (2) xksyk (1) Ring (2) Sphere
(3) o`Ùk (4) xsan (3) Circle (4) Ball

76. A, P, R, X, Y vkSj Z ,d iafDr esa cSBs gq, 76. A, P, R, X, Y and Z are sitting in a
gSaA Y vkSj Z e/; esa gSa vkSj A rFkk P row. Y and Z are in the centre and
vfUre 'kh"kks± ij gSaA R, A ds ,dne ck;ha A and P are at the ends. R is sitting
vksj gSA P ds ,dne nk;ha vksj dkSu cSBk on the immediate left of A. Who is
gqvk gS \ sitting on the immediate right of P ?
(1) X (2) Y (1) X (2) Y
(3) Z (4) R (3) Z (4) R

77. fuEu Js.kh dk vxyk in gS % 77. Next term of the following series is :
6 21 45 6 21 45
 AG   CK   EO   AG   CK   EO 
  ]   ]   ]   ]   ]   ]
 d   g   j   d   g   j 
78 78
 GS   GS 
  ]?   ]?
 m  m
127 133 127 133
 IX   IV   IX   IV 
(1)   (2)   (1)   (2)  
 p  q   p  q 
120 127 120 127
 IW   IX   IW   IX 
(3)   (4)   (3)   (4)  
 p  q   p  q 

78. A, C dk firk gS vkSj D, B dk iq= gSA E, 78. A is father of C and D is son of B. E
A dk Hkzkrk gSA C, D dh cgu gSA B, E ls is brother of A. C is sister of D.
fdl çdkj lEcfU/kr gS \ How is B related to E ?
(1) iq=h (2) lkyh/HkkHkh (1) Daughter (2) Sister-in-law
(3) ekrk (4) ifr (3) Mother (4) Husband

79. ik¡p O;fDr P, Q, R, S, vkSj T ,d 79. Five men P, Q, R, S and T read a
v[kckj i<+rs gSaA tks O;fDr loZçFke i<+rk newspaper. The one who reads
gS] og R dks ns nsrk gSA tks lcls vkf[kjh first, gives it to R. The one who
esa i<+rk gS] oks P ls ysrk gSA T i<+us esa reads last, had taken from P. T was
çFke ;k vfUre ugha gSA P vkSj Q ds chp not the first or last to read. There
nks ikBd FksA vkf[kjh esa v[kckj dkSu were two readers between P and
i<+rk gS \ Q. Who reads the newspaper last ?
(1) Q (2) R (1) Q (2) R
(3) S (4) T (3) S (4) T
[ Level-3 / 5318 ] P. T. O.

[ 20 / A ]

80. js[kk 10 fdeh lh/ks pyrh gS vkSj fQj 80. Rekha walks 10 km straight and
nk;sa eqMd
+ j 10 fdeh pyrh gSA fQj gj then turns right and walks 10 km.
ckj ck;ha vksj eqM+dj oks Øe'k% 5, 15 Then every time turning to her left,
vkSj 15 fdeh pyrh gSA vius çkjfEHkd she walks 5, 15 and 15 km
fcUnq ls vc oks fdruh nwj gS \ respectively. How far is she now
from her starting point ?
(1) 20 fdeh (1) 20 km
(2) 15 fdeh (2) 15 km
(3) 10 fdeh (3) 10 km
(4) 5 fdeh (4) 5 km

81. gfj;k.kk yksd lsok vk;ksx ds izFke v/;{k 81. Who was the First Chairman of
dkSu Fks \ Haryana Public Service Commission ?
(1) nychj flag (1) Dalbir Singh
(2) njckjh yky xqIrk (2) Darbari Lal Gupta
(3) Hkhe flag (3) Bhim Singh
(4) eukst ik.Ms (4) Manoj Pandey

82. fuEufyf[kr esa ls dkSu&lk oU; tho 82. Which of the following wild life
vHk;kj.; f'kokfyd igkfM+;ksa esa vofLFkr sanctuaries is located in Shivalik
gS \ hights ?
(1) [kkijokl vHk;kj.; (1) Khaparwas Sanctuary
(2) fHk.Mkokl vHk;kj.; (2) Bhindawas Sanctuary
(3) [kksy gh&jk;rku vHk;kj.; (3) Khol Hi-Raitan Sanctuary
(4) ukgj vHk;kj.; (4) Nahar Sanctuary

83. fuEufyf[kr esa ls fdlus euksgj yky [kêj 83. Who among the following did not
ds eq[;ea=h dky eas eq[; lfpo ds :i esa serve as the Chief Secretary
dke ugha fd;k \ during the Chief Ministership of
Manohar Lal Khattar ?
(1) ,l0 lh0 pkS/kjh (1) S. C. Chaudhary
(2) ih0 ds0 xqIrk (2) P. K. Gupta
(3) 'kdqUryk tk[kw (3) Shakuntala Jakhu
(4) fot;o/kZu (4) Vijay Vardhan

[ Level-3 / 5318 ]

[ 21 / A ]

84. lj NksVwjke ds lanHkZ esa fuEufyf[kr esa ls 84. Which of the following statements
dkSu&ls dFku lR; gSa \ about Sir Choturam are correct ?
(A) mUgksaus ,d dk¡xzslh ds :i esa vius (A) He began his career as a
Congress man.
dSfj;j dh 'kq:vkr dhA
(B) Later be joined Unionist Party.
(B) ckn esa mUgksaus ;wfu;fu"V ikVhZ dh
(C) He was a Minister in the
lnL;rk yhA government of Undivided
(C) os vfoHkkftr iatkc dh ljdkj esa ,d Punjab.
ea=h FksA Choose the correct code :
lgh dwV dk p;u dhft, % (1) Only statement (B) & (C) are
(1) dsoy dFku (B) rFkk (C) lgh gSaA correct.
(2) dsoy dFku (A) rFkk (C) lgh gSaA (2) Only statement (A) & (C) are
correct.
(3) dsoy dFku (A) lgh gSA (3) Only statement (A) is correct.
(4) statement (A), (B) & (C) are
(4) dFku (A), (B) rFkk (C) lgh gSaA
correct.

85. Hkkjrh; lwpuk izkS|ksfxdh laLFkku dgk¡ 85. Where the Indian Institute of
LFkkfir fd;k tk jgk gS \ Information Technology is being
set-up ?
(1) fdyksgM+ (2) cjkSr (1) Kilohad (2) Baraut
(3) fiiyh [ksM+k (4) jlwyiqjk (3) Pipali Khera (4) Rasulpura

86. fuEufyf[kr esa ls dkSu&lk ftyk jksgrd 86. Which of the following districts is
laHkkx dk fgLlk ugha gS \ not part of Rohtak division ?
(1) >Ttj (2) lksuhir (1) Jhajjar (2) Sonipat
(3) fHkokuh (4) jsokM+h (3) Bhiwani (4) Rewari

87. 37osa lwjtdq.M vUrjkZ"Vªh; gLrf'kYi esys 87. Which of the following was the
dk Fkhe jkT; dkSu&lk Fkk \ theme State for the 37th Surajkund
International Crafts Fair ?
(1) e/; izns'k (1) Madhya Pradesh
(2) jktLFkku (2) Rajasthan
(3) ef.kiqj (3) Manipur
(4) xqtjkr (4) Gujarat

[ Level-3 / 5318 ] P. T. O.

[ 22 / A ]

88. gfj;k.kk dh efgyk igyoku ftlus 2023 88. The woman wrestler of Haryana who
dk vtqZu iqjLdkj izkIr fd;k \ received the Arjuna Award of 2023 ?
(1) vafre ia?kky (1) Antim Panghal
(2) va'kq efyd (2) Anshu Malik
(3) xhfrdk tk[kM+ (3) Geetika Jakhar
(4) lk{kh efyd (4) Sakshi Malik

89. fuEufyf[kr esa ls dkSu&ls lgh lqesfyr 89. Which of the following are
gSa \ correctly matched ?
(A) xqtjh egy – fglkj (A) Gujari Mahal – Hisar
(B) vkjke&,&dkSlj – ukjukSy (B) Aram-e-Kausar – Narnaul
(C) 'ks[k rS¸;c dk edcjk – than (C) Tomb of Sheikh – Jind
Tayyab
lgh dwV dk p;u dhft, % Choose the correct code :
(1) (A) rFkk (C) (1) (A) and (C)
(2) (A) rFkk (B) (2) (A) and (B)
(3) (B) rFkk (C) (3) (B) and (C)
(4) (A), (B) rFkk (C) (4) (A), (B) and (C)

90. isgksok vfHkys[k ds ckjs eas fuEufyf[kr 90. Read the following statements about
dFkuksa dks if<+, % Pehowa Inscription :
(A) vfHkys[k dks xqtZj izfrgkj jktoa'k ds (A) The inscription was issued by a
,d 'kkld us tkjh fd;k FkkA ruler of Gurjar Pratihar dynasty.
(B) As per the inscription, Pehowa
(B) vfHkys[k ds vuqlkj isgksok ?kksM+s ds
was a famous market of horse
O;kikfj;ksa dk ,d izfl) cktkj FkkA
dealers.
lgh dwV dk p;u dhft, % Choose the correct code :
(1) dsoy dFku (A) lR; gSA (1) Only statement (A) is true.
(2) dsoy dFku (B) lR; gSA (2) Only statement (B) is true.
(3) u rks dFku (A) u gh dFku (B) (3) Neither statement (A) nor
lR; gSA statement (B) is true.
(4) nksuksa dFku lR; gSaA (4) Both the statements are true.

[ Level-3 / 5318 ]

[ 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.

1 1 1 1 1 1
91. 3 9 27
9 × 9 × 9 × ....∞ rd eku gS % 91. 3 9 27
The value of 9 × 9 × 9 × ....∞ is :

(1) 1 (1) 1

(2) 9 (2) 9

(3) 3 (3) 3

(4) 6 (4) 6

92. ;fn f ( x ) = x100 + x 99 + ...... + x + 1 92. If f ( x ) = x100 + x 99 + ...... + x + 1 , then

gks] rks f ′(1) cjkcj gS % f ′(1) is equal to :

(1) 5000 (1) 5000

(2) 5051 (2) 5051

(3) 5050 (3) 5050

(4) 5049 (4) 5049
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 5318 ] P. T. O.

[ 24 / A ]

93. lfn'k 5 iˆ + 3 ˆj + 4 kˆ vkSj 6 iˆ − 8 ˆj − kˆ ds 93. If the angle between the vectors
e/; dk dks.k ;fn θ gS] rks cos θ cjkcj 5 iˆ + 3 jˆ + 4 kˆ and 6iˆ − 8 ˆj − kˆ is θ, then
gksxk % cos θ is equal to :
(1) –1 (1) –1
8 8
(2) (2)
7 7
2 2
(3) (3)
5 101 5 101
1 1
(4) (4)
2 2

94. ;fn a = iˆ + jˆ + 2kˆ vkSj b = 3 iˆ + 2 ˆj − kˆ 94. If a = iˆ + jˆ + 2kˆ and b = 3 iˆ + 2 ˆj − kˆ ,
gks] rks (a + 3b).(2a − b) = ? then (a + 3 b).(2a − b) = ?
(1) 10 (1) 10
(2) –15 (2) –15
(3) 3 (3) 3
(4) 12 (4) 12

1 1
1 1
95. Kkr dhft, % ∫ 2
dx = ? 95. Evaluate : ∫ 2
dx = ?
−1 x + 2 x + 5 −1 x + 2 x + 5
π π
(1) (1)
8 8
(2) 0 (2) 0
(3) –1 (3) –1
π π
(4) (4)
2 2
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 5318 ]

[ 25 / A ]
i −1
96.
π π
lfEeJ la[;k dk ekikad 96. What is the modulus of complex
cos + i sin i −1
3 3 number ?
π π
D;k gS \ cos + i sin
3 3
1 1
(1) (1)
2 2
(2) 2 (2) 2
3 3
(3) (3)
2 2
1 1
(4) (4)
3 3

97. ;fn fcUnq (–1, –1, 2), (2, m, 5) vkSj 97. If the points (–1, –1, 2), (2, m, 5)
(3, 11, 6) lajs[k gS]a rks m dk eku D;k and (3, 11, 6) are collinear, then
gS \ what is the value of m ?
(1) 2
(1) 2
(2) 5 (2) 5
(3) 8 (3) 8
(4) –1 (4) –1

98. vlfedk |x + 2| ≤ 5 dk gy leqPp; 98. The solution set of the inequation
gS % |x + 2| ≤ 5 is :

(1) (–7, 5) (1) (–7, 5)
(2) [–5, 5] (2) [–5, 5]
(3) [–7, 3] (3) [–7, 3]
(4) (–7, 6) (4) (–7, 6)
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 5318 ] P. T. O.

[ 26 / A ]

99. Qyu f ( x ) = 3 + 7 , x ∈ R – {0} ds fy;s 99. Function f ( x ) = 3 + 7 for x ∈ R – {0}
x x
gS % is :
(1) gzkleku (1) Decreasing
(2) Increasing
(2) o/kZeku
(3) Neither increasing nor
(3) u rks o/kZeku u gh gzkleku
decreasing
(4) buesa ls dksbZ ugha (4) None of the above

100. vfrijoy; dk lehdj.k D;k gS] ftldh 100. What is the equation of the
hyperbola, whose length of latus
ukfHkyac thok dh yEckbZ 8 vkSj mRdsUnzrk
rectum is 8 and eccentricity is
3 gS \
5 3 ?
5
x2 y2
(1) − = −1
4 9 x2 y2
(1) − = −1
4 9
x2 y2
(2) − =1 x2 y2
25 20 (2) − =1
25 20
x2 y2
(3) − =1 x2 y2
9 7 (3) − =1
9 7
x2 y2 x2 y2
(4) − =1 (4) − =1
3 2 3 2
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 5318 ]

[ 27 / A ]

101. (–1, 1) vkSj (5, 7) dks feykus okyh 101. In what ratio, the line joining (–1, 1)
js[kk] js[kk x + y = 4 ls fdl vuqikr esa and (5, 7) is divided by the line
foHkkftr gksrh gS \ x+y=4?
(1) 1 : 1 (1) 1 : 1
(2) 1 : 2 (2) 1 : 2
(3) 3 : 2 (3) 3 : 2
(4) 4 : 1 (4) 4 : 1

10 ! 11! 12! 10 ! 11! 12 !
102. Kkr dhft, % ∆ = 11! 12 ! 13 ! 102. Evaluate : ∆ = 11! 12! 13 !
12 ! 13 ! 14 ! 12 ! 13 ! 14 !

(1) 0 (1) 0
(2) 10! × 11! × 12! (2) 10! × 11! × 12!
(3) 2(10! × 11! × 12!) (3) 2(10! × 11! × 12!)
(4) 10! × 11! (4) 10! × 11!

103. ;fn lekUrj Js.kh dk 7ok¡ rFkk 13ok¡ in 103. If 7th and 13th terms of an
Øe'k% 34 vkSj 64 gS] rks bldk 18ok¡ Arithmetic progression be 34 and 64
in gS % respectively, then its 18th term is :
(1) 87 (2) 88 (1) 87 (2) 88
(3) 89 (4) 90 (3) 89 (4) 90
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 5318 ] P. T. O.

[ 28 / A ]

104. ( x + 2 y )9 ds foLrkj esa x 6 y 3 dk xq.kkad 104. What is the coefficient of x 6 y 3 in

gS % the expansion of ( x + 2 y )9 ?

(1) 1365 (1) 1365

(2) 672 (2) 672

(3) 5040 (3) 5040

(4) 185 (4) 185

105. oØ y = x 3 vkSj js[kkvksa y = x + 6 vkSj 105. What is the area of the region

x = 0 ls f?kjs {ks= dk {ks=Qy D;k gS \ bounded by the curve y = x 3 and

the lines y = x + 6 and x = 0 ?

(1) 20 oxZ bdkbZ (1) 20 sq. units

(2) 10 oxZ bdkbZ (2) 10 sq. units
1 1
(3) oxZ bdkbZ (3) sq. units
3 3

21 21
(4) oxZ bdkbZ (4) sq. units
2 2

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

[ Level-3 / 5318 ]

[ 29 / A ]

;fn x ≤ 3
 1,  1, if x ≤3
 
106. ;fn ;fn 3 < x < 5
f ( x ) = ax + b, 106. If f ( x ) = ax + b, if 3 < x < 5
 7,  7,
 ;fn 5 ≤ x  if 5≤ x
a rFkk b dk eku Kkr dhft,] rkfd Qyu determine the values of a and b, so
that f(x) is continuous :
f(x) larr Qyu gks %

(1) a = 2, b = 8
(1) a = 2, b = 8

(2) a = 1, b = 1
(2) a = 1, b = 1

(3) a = 0, b = –2 (3) a = 0, b = –2

(4) a = 3, b = –8 (4) a = 3, b = –8

107. ;fn ewy fcUnq P(2a, 2, 6), Q(–4, 3b, –10) 107. If the origin is the centroid of the
vkSj R(8, 14, 2c) 'kh"kksZa okys f=Hkqt dk triangle with vertices P(2a, 2, 6),
dsUnzd gS] rks a, b vkSj c dk eku D;k Q(–4, 3b, –10) and R(8, 14, 2c), what
gksxk \ will be the values of a, b and c ?
− 16 − 16
(1) a = –2, b = ,c=2 (1) a = –2, b = ,c=2
3 3
(2) a = 4, b = –2, c = 6 (2) a = 4, b = –2, c = 6
(3) a = 3, b = –2, c = –1 (3) a = 3, b = –2, c = –1
(4) a = 4, b = –5, c = 1 (4) a = 4, b = –5, c = 1
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 5318 ] P. T. O.

[ 30 / A ]

x −2
108. Kkr dhft, % lim 3 x − 23 108. Evaluate : lim
x →2 x− 2 x →2 3 x − 3 2

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

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

2 2
(3) 3 3.2 (3) 3 3.2

(4) 0 (4) 0

109. ;fn y = sinx + sinx + sinx +......∞ 109. If y = sin x + sin x + sin x + ......∞ ,

gks] rks dy = ? then
dy
=?
dx dx
sin x sin x
(1) (1)
1− 2 y 1− 2 y

cos x cos x
(2) (2)
1− 2x 1− 2x

cos x cos x
(3) (3)
2 y −1 2 y −1

sin x sin x
(4) (4)
2 x −1 2 x −1
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 5318 ]

[ 31 / A ]

110. i 5 + i6 + i7 + i 8 + i9 110. i 5 + i6 + i7 + i 8 + i 9
dk eku gS % The value of
(1 + i )
is :
(1 + i )
1 1
(1) (1 + i ) (1) (1 + i )
2 2
1 1
(2) (1 − i ) (2) (1 − i )
2 2
(3) 1 (3) 1
1 1
(4) (4)
2 2

111. 'kCn APPLE ds v{kjksa ds fdrus Øep; 111. How many permutations of the letter
gSa \ of the word 'APPLE' are there ?
(1) 60 (2) 50 (1) 60 (2) 50

(3) 55 (4) 100 (3) 55 (4) 100

112. Kkr dhft, % lim 1 + 2 + 3 +2....... + n 112. Evaluate : lim
1 + 2 + 3 + ....... + n
n→ ∞ n n→ ∞ n2
1 1
(1) (1)
2 2
(2) 0 (2) 0
3 3
(3) (3)
2 2
1 1
(4) (4)
3 3
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 5318 ] P. T. O.

[ 32 / A ]

113. Js.kh % 113. What is the sum of series
1 1 1 1 1 1 1 1 1 1 1 1
+ 2 + 3 + 4 + 5 + 6 + .........∞ + + + + + + .........∞ ?
2 3 2 3 2 3 2 32 23 34 25 36
dk ;ksx gS %
2 2
(1) (1)
3 3

1 1
(2) (2)
8 8

(3) 1 (3) 1

19 19
(4) (4)
24 24

114. o`Ùk x 2 + y 2 + 6 x − 4 y + 4 = 0 dk dsUnz 114. What is the centre of circle

D;k gS \ x 2 + y 2 + 6x − 4 y + 4 = 0 ?

(1) (0, –2) (1) (0, –2)

(2) (3, –3) (2) (3, –3)

(3) (1, –2) (3) (1, –2)

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

[ Level-3 / 5318 ]

[ 33 / A ]

115. nh?kZo`Ùk dh ukfHk;k¡ (±2, 0) vkSj bldh 115. The foci of an ellipse are (±2, 0)
mRdsUnzrk 12 gSA nh?kZo`Ùk dk lehdj.k and its eccentricity is 1 . What is
2
D;k gS] ;fn ;g fn;k x;k gS fd bldk the equation of ellipse, if it is given
that its centre is at origin and axes
dsUnz ewy fcUnq ij gS vkSj v{k funsZ'kkad are along the coordinate axes ?
v{kksa ds vuqfn'k gS \
2 2 x2 y2
x y (1) + =1
(1) + =1 36 11
36 11
x2 y2 x2 y2
(2) + =1 (2) + =1
9 25 9 25

x2 y2 x2 y2
(3) + =1 (3) + =1
16 12 16 12
x2 y2 x2 y2
(4) + =1 (4) + =1
36 20 36 20

116. ;fn A = [aij] ,d vfn'k vkO;wg n × n 116. If A = [aij] is a scalar matrix of
dksfV dk bl izdkj gS fd aii = k izR;sd i order n × n such that aii = k for all i,
ds fy;s] rks A dk Vªsl cjkcj gS % then trace of A is equal to :

(1) n + k (1) n + k

(2) n/k (2) n/k

(3) n2 (3) n2

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

[ Level-3 / 5318 ] P. T. O.

[ 34 / A ]

117. ijoy; y 2 = 12 x ij ,d fcUnq dh ukfHk 117. The focal distance of a point on the

nwjh 4 gS] bl fcUnq dk Hkqt D;k gS \ parabola y 2 = 12 x is 4. What is
the abscissa of this point ?

(1) 1 (1) 1

(2) 0 (2) 0

(3) 2 (3) 2

(4) –2 (4) –2

118. ;fn lh/kh js[kk 2x + 3y + 4 + k (6x – y 118. If the straight line 2x + 3y + 4 + k

+ 12) = 0] js[kk 7x + 5y – 4 = 0 ij (6x – y + 12) = 0 is perpendicular

yacor gS] rks k dk eku D;k gS \ to the line 7x + 5y – 4 = 0, then what

is the value of k ?

− 29 − 29
(1) (1)
37 37
−7 −7
(2) (2)
5 5
(3) –3 (3) –3
1 1
(4) (4)
3 3
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 5318 ]

[ 35 / A ]
1 1
119. Kkr dhft, % ∫ ( x − [ x ])dx = ? ∫
119. Evaluate : ( x − [ x ])dx = ?
−1 −1
[x] = egÙke iw.kkZad QyuA [x] = greatest integer function.
(1) x (1) x
(2) x – 1 (2) x – 1
(3) 0 (3) 0
(4) 1 (4) 1

120. fdlh xksys dh f=T;k 2 lseh gksus ij mlds 120. What is the rate of change of volume
i`"Bh; {ks=Qy ds lkis{k mlds vk;ru esa of a sphere with respect to its surface
ifjorZu dh nj D;k gS \ area, when the radius is 2 cm ?

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

(3) 0 (4) 5 (3) 0 (4) 5

121. ekuk A = {x : x ∈ R, x > 4} vkSj 121. Let A = {x : x ∈ R, x > 4} and

B = {x ∈ R : x < 5} gks] rks A ∩ B = ? B = {x ∈ R : x < 5}, then A ∩ B = ?

(1) (4, 5] (1) (4, 5]

(2) (4, 5) (2) (4, 5)

(3) [4, 5) (3) [4, 5)

(4) [4, 5] (4) [4, 5]
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 5318 ] P. T. O.

[ 36 / A ]

122. ,d Bksl 'kadq ds :i esa gS] tks ,d 122. A solid is in the form of a cone

v)Zxksys ij LFkkfir gSA 'kadq dh f=T;k vkSj mounted on a hemisphere. The

Å¡pkbZ Øe'k% 3 ehVj vkSj 4 ehVj gSaA radius and height of the cone are

fn;s x;s Bksl dk vk;ru Kkr dhft, % 3 m and 4 m. Find the volume of

the given solid :

(1) 93.2 eh
3
(1) 93.2 m3

(2) 94.2 eh
3
(2) 94.2 m3

(3) 84.2 eh
3
(3) 84.2 m3

(4) 82.2 eh
3
(4) 82.2 m3

123. ;fn a, b lehdj.k x2 + x + 1 ds ewy gS]a 123. If a, b are the roots of equation

rks α2 + β2 = ? 2
x + x + 1 = 0, then α2 + β2 = ?

(1) 1 (1) 1

(2) –1 (2) –1

(3) 2 (3) 2

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

[ Level-3 / 5318 ]

[ 37 / A ]

124. ;fn f : R → R ,d Qyu gS rFkk 124. Let f : R → R be a function defined
f(x) = [x] }kjk ifjHkkf"kr gS] tgk¡ [x] by f(x) = [x], where [x] is greatest
egÙke iw.kkZad Qyu gS] rks % integer function, then :
(1) Qyu f ,dSdh gS (1) f is one-one
(2) f vkPNknh gS (2) f is onto
(3) f ,dSdh o vkPNknh gS (3) f is one-one and onto
(4) f u ,dSdh vkSj u gh vkPNknh gS (4) f is neither one-one nor onto

125. gy dhft, % 125. Solve :
(a − b)3 + ( b − c )3 + (c − a)3 = ? (a − b)3 + ( b − c )3 + (c − a)3 = ?
2 2 2 2 2 2
(1) (a + b + c) (a + b + c – ab – (1) (a + b + c) (a + b + c – ab –
bc – ca) bc – ca)
(2) (a – b) (b – c) (c – a) (2) (a – b) (b – c) (c – a)
(3) 3(a – b) (b – c) (c – a) (3) 3(a – b) (b – c) (c – a)
(4) abc (4) abc

126. ,d ekud fopyu dk la[;kRed eku dHkh 126. The numerical value of a standard
Hkh ugha gks ldrk gS % deviation can never be :
(1) _.kkRed (1) Negative
(2) 'kwU; (2) Zero
(3) fopyu ls vf/kd (3) Larger than variance
(4) mijksDr esa ls dksbZ ugha (4) None of the above
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 5318 ] P. T. O.

[ 38 / A ]

127. ;fn ,d m/okZ/kj ehukj ds lk;s dh yackbZ 127. If the length of the shadow of a
1
mldh Å¡pkbZ dk 1 xquk gS] rks lw;Z dk vertical tower is
3
times of its
3
mUu;u dks.k gS % height, then the angle of elevation
of the sun is :

(1) 45° (2) 30° (1) 45° (2) 30°
(3) 90° (4) 60° (3) 90° (4) 60°

128. Kkr dhft, % 128. Find :
cos 510° cos 330° + sin 390° cos cos 510° cos 330° + sin 390° cos
120° = ? 120° = ?
(1) 0 (1) 0
(2) –1 (2) –1
3 3
(3) (3)
4 4
(4) 1 (4) 1

129. lehdj.kksa 3x – 5y = 7 vkSj –6x + 10y = 7 129. The pair of equations 3x – 5y = 7
ds gy gSa % and –6x + 10y = 7 have :

(1) vf}rh; gy (1) A unique solution

(2) vuUr gy (2) Infinitely many solutions

(3) dksbZ gy ugha (3) No solution

(4) nks gy (4) Two solutions
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 5318 ]

[ 39 / A ]

130. ;fn 10 la[;kvksa dk ek/; 96 gS vkSj 130. If the mean of 10 numbers is 96 and
muesa ls ,d la[;k 150 gS] rks 'ks"k ukS one of the number is 150, then what is
la[;kvksa dk ek/; D;k gksxk \ the mean of the remaining nine
numbers ?

(1) 60 (2) 75 (1) 60 (2) 75
(3) 81 (4) 90 (3) 81 (4) 90

131. la[;k js[kk ij izR;sd fcUnq iznf'kZr djrk 131. Every point on a number line
gS % represents :

(1) ,d vf}rh; okLrfod la[;k (1) A unique real number
(2) ,d izkÑr la[;k (2) A natural number
(3) ifjes; la[;k (3) A rational number
(4) vifjes; la[;k (4) An irrational number

132. la[;kvksa 10, 9, 21, 16, 24 ds ek/; ls 132. What is the mean deviation from
ek/; fopyu gS % the mean of the numbers 10, 9, 21,
16, 24 ?

(1) 5.0 (2) 4.5 (1) 5.0 (2) 4.5

(3) 3.5 (4) 5.2 (3) 3.5 (4) 5.2
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 5318 ] P. T. O.

[ 40 / A ]

133. ;fn ,d csyu dks nks leku vkdkj ds 133. If a cylinder is covered by two
v/kZxksykdkj <Ddu ls <dk tkrk gS] rks hemispheres shaped lid of equal
u, oLrq dk dqy ofØr {ks=Qy gksxk % shape, then the total curved surface
area of new object will be :
(1) 4πrh + 2πr2 (1) 4πrh + 2πr2
(2) 4πrh – 2πr2 (2) 4πrh – 2πr2
(3) 2πrh + 4πr2 (3) 2πrh + 4πr2
(4) 2πrh + 4πr (4) 2πrh + 4πr

134. ,d f=Hkqt ABC gS ftlesa ,d ekf/;dk 134. There is a triangle ABC in which a

AD dks A ls BC dh vksj [khapk x;k gSA median AD is drawn from A to side

f=Hkqt ABC dk {ks=Qy D;k gS] ;fn Hkqtkvksa BC. Find out the area of the triangle

AB, BC rFkk AD dh yackbZ Øe'k% 10 lseh] ABC, if the length of sides AB, BC

18 lseh vkSj 41 lseh gS \ and AD are respectively 10 cm,

18 cm and 41 cm :

(1) 40 2 lseh
2
(1) 40 2 cm2

(2) 20 2 lseh
2
(2) 20 2 cm2

(3) 60 lseh
2
(3) 60 cm2

(4) 30 lseh
2
(4) 30 cm2
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 5318 ]

[ 41 / A ]

135. ,d vkneh 4 esa ls 3 ckj lp cksyrk gSA 135. A man is known to speak truth 3 out
og ,d iklk Qsadrk gS vkSj crkrk gS fd of 4 times. He throws a die and
;g ,d N% gSA ikls ij la[;k ds okLro reports that it is a six. What is the
esa N% gksus dh izkf;drk D;k gS \ probability that the number on the
die is actually 6 ?

(1) 3 (1) 3
8 8
(2) 5 (2) 5
8 8
(3) 2 (3) 2
7 7
(4) 1 (4) 1
8 8

136. ;fn ,d leqPp; esa n-vo;o gSa] rks mlds 136. If a set contains n-elements, then

?kkr leqPp; esa vo;oksa dh la[;k D;k what are the number of elements

gS \ in its power set ?

(1) n (1) n

n–1 n–1
(2) 2 (2) 2

n n
(3) 2 (3) 2

(4) n2 (4) n2
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 5318 ] P. T. O.

[ 42 / A ]

137. ;fn ,d o`Ùk vkSj oxZ dh ifjf/k leku gS] 137. If the perimeter of the circle and
rks muds {ks=Qyksa dk vuqikr cjkcj gksxk % square are equal, then the ratio
of their areas will be equal to :
¼iz;ksx djsa π = 22 ½ (use π =
22
)
7
7
(1) 14 : 11
(1) 14 : 11
(2) 22 : 7 (2) 22 : 7

(3) 7 : 22 (3) 7 : 22

(4) 11 : 14 (4) 11 : 14

138. ;fn leku yackbZ ds pki nks o`Ùkksa ds dsUnzksa 138. If the arcs of same length in two
ij Øe'k% 60° vkSj 75° ds dks.k cukrs gS]a circles subtended angles of 60°
rks muds f=T;kvksa dk vuqikr D;k gksxk \ and 75° at their centres, then what
is the ratio of their radii ?
(1) 1 : 2 (2) 2 : 3 (1) 1 : 2 (2) 2 : 3
(3) 3 : 1 (4) 5 : 4 (3) 3 : 1 (4) 5 : 4

139. ;fn dqN vk¡dM+ksa ds ek/; vkSj cgqyd 139. If the mean and mode of some
Øe'k% 4 vkSj 10 gSa] rks ekf/;dk dk eku data are 4 and 10 respectively, its
gksxk % median will be :
(1) 1.5 (2) 5.3 (1) 1.5 (2) 5.3
(3) 6 (4) 16 (3) 6 (4) 16
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 5318 ]

[ 43 / A ]

140. ;fn x – 2, x2 + 3ax – 2a dk ,d 2
140. If x – 2 is a factor of x + 3ax – 2a,
xq.ku[k.M gS] rks a = ? then a = ?

(1) 2 (2) –2 (1) 2 (2) –2

(3) 1 (4) –1 (3) 1 (4) –1

141. Qyu f ( x ) = sin −1(2 x − 3) dk izkUr 141. What will be the domain of the

gksxk % function f ( x ) = sin −1(2 x − 3) ?

(1) [0, ∞) (1) [0, ∞)

(2) (1, 2) (2) (1, 2)

(3) [1, 2] (3) [1, 2]

(4) [–1, 1] (4) [–1, 1]

142. 50 O;fDr;ksa ds ,d lewg esa 14 O;fDr 142. In a group of 50 persons, 14 drink
pk; ihrs gSa ysfdu dkWQh ugha] vkSj 30 tea but not coffee and 30 drink tea.
yksx pk; ihrs gSaA fdrus yksx pk; vkSj How many drink tea and coffee
dkWQh nksuksa ihrs gSa \ both ?

(1) 15 (2) 16 (1) 15 (2) 16

(3) 20 (4) 30 (3) 20 (4) 30
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 5318 ] P. T. O.

[ 44 / A ]

143. ;fn cos A + cos2 A = 1 gks] rks 143. If cos A + cos2 A = 1, then the value
sin2 A + sin4 A dk eku gS % of sin2 A + sin4 A is :
1 1
(1) 1 (2) (1) 1 (2)
2 2
(3) 0 (4) –1 (3) 0 (4) –1

144. Qyu f ( x ) = x + 2 , x ≠ −2 dk ifjlj 144. The range of the function
| x + 2| x +2
f(x) = , x ≠ −2 is :
gS % | x + 2|
(1) {–1, 0, 1} (1) {–1, 0, 1}
(2) {–1, 1} (2) {–1, 1}
(3) {1} (3) {1}
(4) (0, ∞) (4) (0, ∞)

145. ;fn ,d caVu dk ek/; 25 gS vkSj ekud 145. If the mean of a distribution is 25 and

fopyu 8 gS] rks fopyu xq.kkad dk eku the standard deviation is 8. What is

D;k gS \ the value of the coefficient variation ?

(1) 35% (1) 35%

(2) 60% (2) 60%

(3) 32% (3) 32%

(4) 47% (4) 47%
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 5318 ]

[ 45 / A ]

146. ;fn 8, 15, 7, 7, 9, 2, 9 vkSj x dk 146. If the mode of 8, 15, 7, 7, 9, 2, 9
cgqyd 9 gS] rks 'x' dk eku gksxk % and x is 9, then 'x' is :
(1) 7 (1) 7
(2) 8 (2) 8
(3) 9 (3) 9
(4) 15 (4) 15

147. ekuk fd R, N ij ,d laca/k gS tks 147. Let R be the relation on N defined
x + 2y = 8 }kjk ifjHkkf"kr gS] R dk by x + 2y = 8, the domain of R is :
izkUr gS %
(1) {2, 4, 8} (1) {2, 4, 8}
(2) {2, 4, 6, 8} (2) {2, 4, 6, 8}
(3) {2, 4, 6} (3) {2, 4, 6}
(4) {1, 2, 3, 4} (4) {1, 2, 3, 4}

148. ;fn f : [0, ∞) → R vkSj g : R → R bl 148. If f : [0, ∞) → R and g : R → R be
izdkj ifjHkkf"kr gS fd f(x) = x vkSj defined as f(x) = x and
g(x) = − x 2 − 1 ] rks gof Kkr dhft, % 2
g(x) = − x − 1 , then find gof :
(1) x −1 (1) x −1
(2) –x – 1 (2) –x – 1
(3) x + 1 (3) x + 1
(4) gof ifjHkkf"kr ugha gS (4) gof does not exist
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 5318 ] P. T. O.

[ 46 / A ]

149. f=Hkqt dh Hkqtk,¡ Øe'k% 122 eh] 22 eh 149. The sides of a triangle are 122 m,
vkSj 120 eh gS] rks f=Hkqt dk {ks=Qy 22 m and 120 m respectively, then
gS % area of the triangle is :

(1) 1300 eh
2
(1) 1300 sq. m.

(2) 1320 eh
2
(2) 1320 sq. m.

(3) 1400 eh
2
(3) 1400 sq. m.

(4) 1420 eh
2
(4) 1420 sq. m.

150. ;fn A vkSj B nks ijLij viothZ ?kVuk,¡ gS]a 150. If A and B are two mutually
1
ftuds fy, P( A) = 1 vkSj P( B ) = 1 gS] exclusive events with P( A) =
3
and
3 4
rks P( A ∩ B ) gS % 1
P( B ) = , then P( A ∩ B ) is :
4
4
(1) 4
12 (1)
12
5
(2) 5
12 (2)
12
6 6
(3) (3)
12 12

7 7
(4) (4)
12 12
jQ dk;Z ds fy, txg / Space For Rough Work

[ Level-3 / 5318 ]

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
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 NksMAs+a / No candidate, without special permission of the Center
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 d{k@gkWy ugha NksMa+sxAs ;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 vaxB
w s dk fu'kku
fu'kku yxk;k tkuk gSA vaxBw 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 Room/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 d{k@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 Room/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.