ResoSTART stage 2 paper of 2013 for class 10

Duration : 120 Minutes

Date : 13-01-13

Max. Marks : 300

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

TEST PAPER :

STAGE - II

CLASS : X Write your Name and STaRT-2013 Student Registration No. in the space provided below. Name

Reg. No. 1 3

GENERAL INSTRUCTIONS IN EXAMINATION HALL A. General : 1. This Question Paper contains 75 questions. Please check before starting to attempt. The question paper consists of 6 parts Physics (1 to 10), Chemistry(11 to 18), Mathematics(19 to 43), Biology (44 to 50), General Awareness (51 to 65) & Mental Ability (66 to 75) 2. Space is provided within question paper for rough work hence no additional sheets will be provided. 3. Blank paper, clipboard, log tables, slide rules, calculators, cellular phones, pagers and electronic gadgets in any form are not allowed inside the examinaiton hall. 4. The answer sheet, a machine-gradable Objective Response Sheet (ORS), is provided separately. 5. Do not Tamper / mutilate the ORS or this booklet. 6. Do not break the seals of the question-paper booklet before instructed to do so by the invigilators. 7. SUBMIT the ORS to the invigilator after completing the test & take away the test paper with you. 8. Any student found/reported using unfair means to improve his/her performance in the test, shall be disqualified from STaRT2013. B. How to fill Objective Response Sheet (ORS) for filling details marking answers: 9. Use only HB Pencil/Blue or Black ball point pen for filling the ORS. Do not use Gel/Ink/Felt pen as it might smudge the ORS. 10. Write your STaRT-2013 Student Registration No. in the boxes given at the top left corner of your ORS with blue/black ball point pen. Also, darken the corresponding bubbles with HB Pencil/Blue or Black ball point pen only. 11. If any student does not fill his/her STaRT-2013 Student Registration No. correctly and properly, then his/her ORS will not be checked/ evaluated. 12. Since it is not possible to erase and correct pen filled bubble, you are advised to be extremely careful while darken the bubble corresponding to your answer. 13. Neither try to erase / rub / scratch the option nor make the Cross (X) mark on the option once filled. Do not scribble, smudge, cut, tear, or wrinkle the ORS. Do not put any stray marks or whitener anywhere on the ORS. 14. If there is any discrepancy between the written data and the bubbled data in your ORS, the bubbled data will be taken as final. C. Question paper format and Marking scheme : 15. For each right answer you will be awarded 4 marks if you darken the bubble corresponding to the correct answer and zero marks if no bubble is darkened. In case of bubbling of incorrect answer, minus one (–1) mark will be awarded.

Best

v- lkekU; % 1- bl iz'u&i= esa 75 iz'u gSaA Ñi;k ijh{kk 'kq: djus ls igys tk¡p ysaA bl iz'u&i= esa 50 iz'u gSaA bl iz'u&i= esa 6 Hkkx bl izdkj gSa & HkkSfrd foKku (1 ls 10)] jlk;u foKku(11 ls 18)] xf.kr(19 ls 43)] tho foKku (44 ls 50)] lkekU; Kku(51 ls 65) ,oa ekufld ;ksX;rk(66 ls 75)A 2- jQ dk;Z djus ds fy, iz'u&i= esa gh LFkku fn;k x;k gS vr% vfrfjDr :i ls dksbZ 'khV ;k isij ugha fn;k tk,xkA 3- [kkyh dkxt] r[rh] y?kqx.kd lkj.kh] LykbM :y] dsYdqysVj] lsy Qksu] istj ,oa fdlh Hkh izdkj ds bysDVªkWfud xStsV ijh{kk gkWy esa ykuk oftZr gSA 4- mÙkj iqfLrdk] vkWCtsfDVo jsLikWUl 'khV ¼vks-vkj-,l-½ tks fd e'khu }kjk tk¡ph tk,xh] vyx ls iznku dh xbZ gSA 5- vks-vkj-,l- ;k iz'u&i= dks fdlh Hkh izdkj ls dkaVs&NkaVs ;k eksM+s ughaA 6- iz'u&i= dh lhy rc rd ugha [kksysa tc rd fd fujh{kd }kjk funsZ'k ugha fn, tk,saA 7- ijh{kk lekIr gksus ds ckn vks-vkj-,l- 'khV fujh{kd dks lkSais rFkk iz'u&i= vius lkFk ys tk,saA 8- ;fn dksbZ fo|kFkhZ ijh{kk esa vad c<+kus ds fy, vuqfpr lk/kuksa dk iz;ksx djrk ik;k x;k ;k ,slk lwfpr fd;k x;k rks og STaRT-2013 ds fy, v;ksX; gksxkA c- vkWCtsfDVo jsLikWUl 'khV ¼vks-vkj-,l-½ esa fMVsYl rFkk mÙkj vafdr djus ds fy, fuEu izdkj Hkjsa % 9- vks-vkj-,l- Hkjus ds fy, dsoy HB isafly@uhyk ;k dkyk ckWy isu gh iz;ksx djsaA tsy@L;kgh@QsYV isu iz;ksx ugha djsaA 10- viuk STaRT-2013 fo|kFkhZ jftLVªs'ku Øekad vks-vkj-,l- 'khV ds ck;sa dksus esa fn, x, LFkku esa uhys ;k dkys ckWy isu ls HkjsaA lkFk gh Øekad ds vuqlkj uhps fn, x;s xksyksa dks Hkh HB isafly@uhys ;k dkys ckWy isu ls xgjk djsaA 11- ;fn dksbZ fo|kFkhZ viuk STaRT-2013 fo|kFkhZ jftLVªs'ku Øekad lgh ,oa Bhd
of

Luck

PART - I (PHYSICS)

Hkkx- I ¼HkkSfrd foK ku½

Straight Objective Type This section contains (1-10) multiple choice questions. Each question has choices (A), (B), (C) and (D) out of which ONLY ONE is correct.

lh/ksoLrqfu"B izd kj bl [k.M esa(1-10) cgq& fod Yih iz'u gSaA izR;sd iz'u d s4 fod Yi (A), (B), (C) rFkk (D) gSa]ft uesalsfl Q Z,d l gh gSA 1.

If the rays constituting the beam actually meet at a point or appear to meet at a point , then the beam is :

;fn ,d izd k'k iaqt d h lHkh fd j.ksafd lh fcUnqij fey rh gS;k fey rh gqbZizrhr gksrh gSrks;g iaqt gksxk % (A) divergent

(B) convergent

(C) may be divergent or convergentl

(D) can't say

(A) vilkfjr

(B) vfHklkfjr

(C) vilkfjr 2.

;kvfHklkfjr nks uks alsd ksbZHkh

d gk ughat k ld rk gS

The main constituent of LPG is : LPG es aeq[;r;%d kSulh xSl (A) butane (C;q Vs u)

3.

(D) d q N

gksrh gS

(B) methane (eS Fks u)

(C) propane (iz kiss u)

(D) ethane (,Fku s)

The minimum distance between an object and its real image in a convex lens is (f = focal length of the lens)

mÙky y Sal }kjk fd lh oLrqd s okLrfod izfrfcEc o oLrqd se/; fuEuÙke nwjh gksxh %(f = y Sal d h Q ksd l nwjh) (A) 2.5 f 4.

(B) 2f

(C) 4f

(D) f

You are facing a coil through which a current I is passing in the clockwise direction. The face of the coil towards you is : (A) North pole (B) East pole (C) West pole (D) South pole

vkid slkeusfLFkr ,d d q .Myhes aI /kkjknf{k.kkorZçokfgr gksjghgS A vkid hrjQ d kd q .Myhd kfljkgks xk% (A) mÙkjh/kq zo (B) iw ohZ/kq zo (C) if'peh/kq zo (D) nf{k.kh/kz o q 5.

When a voltage of 20 volt is applied between two ends of a coil, 800 cal/sec. heat is produced. The value of resistance of the coil is : (1 calorie = 4.2 J)

t c ,d d .qMyhd sfljkasij 20 okYsV d kfoHkokUrj yxk;kt krkgS]rksbles a800 d yS kjsh/ls -Å "ekmRié gkrshgS A d .qMyhd sçfrjk/sk d k eku gkxsk %(1 d yS kjsh= 4.2 t yw ) (A) 1.2 

(B) 1.4 

(C) 0.12 

(D) 0.14 

(SPACE FOR ROUGH WORK)

RESONANCE

STaRT2013 _X_13-01-13 3

6.

The image of the moon is formed by a concave mirror whose radius of curvature is 4.8 m at a time when distance from the moon is 2.4 × 108 m. If the diameter of the image is 2.2 cm the diameter of the moon is :

voÙky niZ.kft ld hoØ rkf=kT;k4.8 eh-gS]pUnz ekd k2.2 lseh-O;kl oky kizfrfcEc cukrkgS SA ;fn pUnzekd hniZ.klsnwjh2.4 8 × 10 eh-gksrkspUnz ek d k O;kl gksxk % (A) 1.1 × 106 m (eh-) (B) 2.2 × 106 m (eh-) (C) 2.2 × 108 m (eh-) (D) 2.2 × 1010 m(eh-) 7.

An object in placed in front of a concave mirror of local length 'f' as shown in figure. Choose the correct shape of image.

,d vory niZ.kft ld hQ ksd l nwjhf gS]d slkeus,d oLrqfp=kkuql kj j[khgScuusoky sizfrfcEc d hvkÑ fr fuEu esalsd kSulh gksxh &

c'

a'

d

d'

(C)

c'

b' a'

(D)

a'

c'

b'

d'

////////////

d'

b'

b

////////////

b'

d'

(B)

c

////////////

c'

////////////

8.

a'

////////////

(A)

a

A circular coil carrying current produces a magnetic field B0 at its centre. This coil is made itself to 10 turns and the same current is set up in it. The magnetic field B at its centre would be :

,d /kkjkokgho`Ùkkd kj d q .My hft ld sd s Unzij pqEcd h; {ks =kd hrhoz rkB0 gSA ;fn blhd q.Myhls10 ?ks jsokyhd q .My hcukbZt k;s o leku /kkjk izokfgr d h t k;srksd sUnzij pqEcd h; {ks=k d h rhozrk gksxh % (A) B = B0 9.

(B) B = 10 B0

(C) B = 50 B0

(D) B = 100 B0

The induced emf produced when a magnet is inserted into a coil does not depend upon : (A) the number of turns in the coil

(B) the resistance of the coil

(C) the magnetic moment of the magnet

(D) the speed of approach of the magnet

t c ,d pqEcd d ksd q.My h d svUnj y k;k t krk gSrksizsfjr fo|qr okgd cy fuEu esalsfd l ij fuHkZj ughad jrk gS% (A) d q .My h d spDd jksad h la[;k (B) d q .My hd kizfrjks/k (C) pq Ecd d kpqEcd h; vk?kw .kZ (D) pq Ecd d sd q.My h rd igq¡p usd h pky 10.

Which of the following has least penetrating power ? (A) Alpha particles (B) Gamma rays (C) Beta particles (D) All have the same penetrating power

fuEu esaslsfd ld h Hksnu {kerk U;wuÙke gS? (A) vYQ kd .k (C) chVkd .k

(B) xkekfd j.ks a (D) lcd h Hks nu

{kerk leku gS


RESONANCE

STaRT2013 _X_13-01-13 4

PART - II (CHEMISTRY)

Hkkx- II ¼jl k;u foK ku½



12.

13.

Halide ore out of the following is (A) cinnabar (B) horn silver

(C) limonite

(D) galena

fuEu esalsgSy kbM v;Ld gS (A) flus ckj (B) gkW uZflYoj

(C) fyeks ukbV

(D) xs ys uk

CH4 + Cl2  CH3 Cl + HCl reaction is an example of (A) Synthesis (B) Analytical (C) Substitution CH4 + Cl2  CH3 Cl + HCl vfHkfØ ;k mnkgj.k gS&

(D) Neutralisation

(A) la 'y s"k.kd k

(D) mnklhuhd j.kd k

(B) fo'y s "k.kd k

(C) iz frLFkkiu

dk

The order of esterification of primary, secondary and tertiary alcohols is (A) primary < tertiary < secondary (B) primary > secondary > tertiary (C) tertiary < primary < secondary (D) all react equally

izkFkfed ]f}rh;d o r`rh;d ,Yd ksgy d s,LVjhd j.k d k Ø e gksxk & (A) iz kFkfed < r`rh;d < f}rh;d (B) iz kFkfed > f}rh;d > r`rh;d (C) r` rh;d < izkFkfed < f}rh;d (D) lHkhleku : i lsvfHkfØ ;kd jrsgS A 14.

A Brown and bright element “x” when heated in presence of air turns in to black substance “y”. If Hydrogen gas is passed over this heating material again “x” is obtained. “x” and “y” are – ,d Hkwjko ped hy krRo “x” t c ok;qd hmifLFkfr es axeZfd ;kt krkgSrksd ky kinkFkZ“y” curkgS]ft l ij gkbMª kst u xS l iz okfgr

d jusij iqu%“x” izkIr gksrk gSA “x” vkSj “y” gSa– (A) Cu & CuO 15.

16.

(B) S & SO2

(C) C & CO2

(D) Na & NaH

Which of the following is not a method for purification of metals ? (A) calcination (B) distillation (C) liquation

(D) electrolytic refining

fuEu esalsd kSu lh fof/k /kkrqv ksad s'kqf) d j.k d h ughagS\ (A) fuLrkiu (B) vklou (C) xyfud i` FkDd j.k

(D) fo|q rvi?kVuh;

'kq f) d j.k

In Mendeleev's periodic table, silver belongs to _________ group.The group to which silver belongs in long form of periodic table is __________. es.My ho d hvkorZlkj.khes aflYoj __________ oxZes s agSA vk/kq fud vkorZlkj.khes aflYoj d hoxZla [;k __________ gksxhA (A) B, 11

(B) A, 11

(C) B, 12

(D) B, 10


RESONANCE

STaRT2013 _X_13-01-13 5

17.

In the reaction, 4Fe + 3O2  4Fe3+ + 6O2– which of the following statements is incorrect ? (A) It is a redox reaction (B) Metallic iron is a reducing agent (C) Oxygen is an oxidising agent (D) Metallic iron is reduced to Fe3+ 4Fe + 3O2  4Fe3+ + 6O2– bl vfHkfØ ;k d sfy , d kS u lk d Fku vlR; gS\ (A) ;g ,d js M kWDl vfHkfØ ;kgS (B) /kkfRod vk;ju ,d vipk;d vfHkd Z ed gS 3+ (C) vkW Dlht u ,d vkWDlhd kjd vfHkd Zed gS (D) /kkfRod vk;ju Fe es avipf;r gksrk gS

18.

Potash alum, is used to separate the suspended particles from water. When phenolphthalein indicator used in aqueous solution of this then colour of the solution will be (A) colourless (B) light pink (C) dark pink (D) None of these

iksVk'k,y e]t y esafuy afcr d .kksad ksi`Fkd d juseasaiz;qDr gksrkgSaA t c bld st y h; foy ;u esafQ ukW¶Fksy hu lwp d d kmi;ksx fd ;k t krk gSrc foy ;u d k jax gksxk & (A) ja xghu (B) gYd kxq y kch (C) xgjkxq y kch (D) bues alsd ksbZugha

PART - III (MATHEMATICS)

Hkkx- III ¼xf.kr½



20.

The least number of 6 digits exactly divisible by 456 is : 6 vd ks ad k lclsNksVk vad t ks456 lsiw.kZr%foHkkft r gS% (A) 100000 (B) 100420 (C) 100320

(D) 100907

Find the median of the following distribution :

fuEu caVu d h ekf/;d k Kkr d jksa% x f

2 1

7 4

(A) 5 21.

11 4

5 5

9 7

(B) 7

(C) 9

(D) 11

The solution of the following pairs of simultaneous equation is :

fuEu js[kk;qXeksd k gy Kkr d jksa%  2x – 1 y  2  4  3 4 x  3 x – y  – 3  2 3 (A) x = –5, y = –4

(B) x = 5, y = 2

(C) x = –5, y = 2

(D) x = 5, y = 4


RESONANCE

STaRT2013 _X_13-01-13 6

22.

For what value of k, (4 – k) x2 + (2k + 4) x + (8 k + 1) = 0, is a perfect square : 'k' d sfd l eku d sfy , lHkh(4 – k) x2 + (2k + 4) x + (8 k + 1) = 0, iw .kZoxZgSa% (A) k = 1, 2 (B) k = 1, – 2 (C) k = 0, 3 (D) k = – 1, – 3

23.

Two villages are 2 kms apart. If the angles of depression of these villages when observed from a plane are found to be 450 and 600 respectively, then the height of the plane is : nksxkokasd se/; nwjh2 fd -ehgSaA nksuksaxkoksad ks;fn Å ij gokbZt gkt lsns [kkx;krksmud kvoueu d ks.k450, 600 izkIr gSa A rc

gokbZt gkt d h Å ¡p kbZKkr d jksa% (A) 3  3 km (fd eh-) (B) 3  3 km (fd eh-)



24.







(D) 3 3 km (fd eh-)

In what ratio does x-axis divide the line segment joining the points (3, – 4) and (2, 6) : (3, – 4) ,(2, 6) d ksfey kusoky h js [kk d ksx-v{k fd l (A) 2 : 3 (B) 3 : 2

25.

(C) 2 3 km (fd eh-)

vuqikr esack¡Vsxk % (C) 1 : 2

(D) 2 : 1

A rectangle ABCD is inscribed in a quadrant of a circle, with A at the centre and C on the circumference. If BD is 13 cm and BC is 5 cm, then the diameter of the circle is :

,d vk;r ABCD ,d o`Ùkd sprqFkk±'kesafLFkr gSft ld k'kh"kZA d s Unzij ,oa'kh"kZC ifj/khij fLFkr gSA ;fn BD ,oaBC d seku Ø e'k%13 lseh-,oa5 lseh-gSrkso`Ùk d k O;kl gksxk& (A) 39 cms (ls eh) (B) 26 cms (ls eh) (C) 2 119 cms (ls eh) (D) 13 cms (ls eh) 26.

If sec = x +

1 , then the value of sec + tan  is equal to : 4x

;fn sec = x +

1 4x

] rks sec + tan  d scjkcj gksxk&

(A) 2x 27.

(B)

x 2

(C) 3x

(D)

x 3

In the following figure, if PA = 12 cm, PC = 15 cm and CD = 7 cm, then the value of AB is :

fuEu fp=k esa;fn PA = 12 lseh, PC = 15 lseh] vkSj CD = 7 lseh, rks AB d k eku gS&

(A) 10 cm(ls eh)

(B) 4 cm(ls eh)

(C) 3 cm(ls eh)

(D) 2 cm(ls eh)


RESONANCE

STaRT2013 _X_13-01-13 7

28.

The vertices of the triangle ABC are respectively A (–1, 2), B (3, 4) and C (–5, 2). If D is the mid point of BC, then length of AD will be : f=kHkqt ABC d s'kh"kZØ e'k %A (–1, 2), B (3, 4) rFkk C (– 5, 2) gSaA ;fn D, BC d k e/; fcUnqgSa]rksAD d h y EckbZgS& (A) 4 (B) 3 (C) 2 (D) 1

29.

If xy + yz + zx = 1, then the expression 1  xy + 1  yz + is equal to 1  zx

xy

;fn xy + yz + zx = 1, rksO;at d 1

(A) x  y  z 30.

yz

xy yz zx 1  xy + 1  yz + 1  zx

1

(B) xyz

zx

cjkcj gS

(C) x + y + z

(D) xyz

Then sum of the present ages of a father and his son is 99 years. When the father was as old as his son is now, his age was four times age of the son at that time. The ratio of the present ages of the son and the father is ,d firk,oaiq=kd horZeku vk;qd k;ksx 99 o"kZgSA t c firkd hmezmruhFkhft ruhvkt iq=kd hgSrksmld hmeziq=kd hml

le; d h mezd h pkj xquh FkhA iq=k rFkk firk d h orZeku vk;qd k vuqikr gS (A) 3 : 7

(B) 3 : 8

(C) 4 : 9

(D) 4 : 7

31.

In ABC, AB = AC. If a point P is taken on the side AB such that AP = PC = CB, then the measure of angle A is f=kHkqt ABC esaAB = AC gSA ;fn Hkqt kAB ij ,d fcUnqP bl izd kj gSfd AP = PC = CB, rksd ks.kA cjkcj gSA (A) 18º (B) 36º (C) 54º (D) 72º

32.

A conical vessel, with internal radius of the base 8 cm and height 42 cm, is full of water. This water is poured in a right circular cylindrical vessel the radius of whose base is 16 cm. what is the height, in cm, of the water level in the cylindrical vessel ? ,d 'kad qd svkd kj d kcrZu ft ld svk/kkj d hvkUrfjd f=kT;k8 lsehrFkkÅ ¡p kbZ42 lsehgS]ikuhlsHkjkgSA ;g ikuh,d y Ec o`Ùkh; csy ukd kj crZu esaft ld svk/kkj d h f=kT;k16 lseh gSMky fn;k t krk gSA csy ukd kj crZu esaikuh d sry d hÅ ¡p kbZ¼lseh

esa½ fd ruh gksxh \ (A)

8 5

(B)

7 3

(C)

8 3

(D)

7 2

33.

If the area (in m2) of the square inscribed in a semicircle is 2, then the area (in m2) of the square inscribed in the entire circle is ,d v/kZo`Ùk d svUnj fufeZr oxZd k {ks=kQ y 2 oxZeh-gS] rksiw.kZo`Ùk d svUnj fufeZr oxZd k {ks=kQ y (oxZeh-esa) D;k gS\ (A) 4 (B) 5 (C) 6 (D) 7

34.

In the figure given below, if each circle has a radius of 3 cm, then the perimeter (in cm) of the triangle is

(A) 18(1  3 )

(B) 9( 4  3 )

(C) 6( 6  3 )

(D) 3( 6  3 )


RESONANCE

STaRT2013 _X_13-01-13 8

35.

36.

  & ABE = , then the area of ABC is 6 3   ,d f=kHktq ABC es aekf/;d k,s aAD rFkkBE [khpaht krhgS A ;fn AD = 4, DAB= vkjS ABE = , rksf=kHktq ABC d k{k=skQ y 6 3 8 16 (A) square unit (oxZbd kbZ ) (B) square unit (oxZbd kbZ) 3 3 32 64 (C) square unit oxZbd kbZ (D) square unit oxZbd kbZ 3 3 3 In a ABC, medians AD and BE are drawn. If AD = 4, DAB=

If a + b + c = 0, find

b2  c 2  a2

;fn a + b + c = 0, rks

b 2 – ca

(A) 0 37.

.

b2  c 2  a2 b 2 – ca (B) 1

gS &

d k eku gksxkA (C) 2

(D) 3

In ABC , the median from A is perpendicular to the median from B. If BC = 7 and AC = 6 find AB. f=kHkqt ABC esa'kh"kZA lst kusoky h ekf/;d k 'kh"kZB lst kusoky h ekf/;d k d sy Ecor~gSA ;fn BC = 7 rFkk AC = 6 rksAB

dk

eku gks xkA 15 units

(A) 38.

(B) 17 unit

(C) 13 unit

(D) None of these

An altitude h of a triangle is increased by a length m. How much must be taken from the corresponding base b so that the area of the new triangle is half of the original triangle ? fd lhf=kHkqt d hÅ ¡p kbZh d ksm y EckbZ}kjkc<+kfn;kt krkgS A vk/kkj b es alsfd ruhyEckbZd e d j nht kuhpkfg, fd u;sf=kHkqt

d k {ks=kQ y ewy f=kHkqt d s{ks=kQ y d k vk/kkgkst k,A (A) 39.

bm hm

bm 2(h  m)

(C)

What is the sum of the following series ?

Js.kh (A) 40.

(B)

(B)

1 100

(D)

b(m  h) 2m  h

1 1 1 1 + + + ..... + 23 34 100  101 1 2

1 1 1 1 + + + ..... + 23 34 100  101 1 2

99 100

b(2m  h) 2(h  m)

d k ;ksxQ y gS (C)

100 101

(D)

101 102

If the radius of a right circular cylinder is increased by 50% and height is decreased by 20% then the percentage change in volume of cylinder is ;fn y Eco`fÙk; csy u d hf=kT;k50% c<+knht k;srFkkÅ ¡p kbZ20% d e d j nht k, rkscsy u d svk;ru esagksusoky kifjorZu

izfr'kr esagSA (A) 40% 41.

(B) 50%

(C) 60%

(D) 80%

All the 3 sides of a right triangle are integers and one side has a length 11 units. Area of the triangle in square units lies between ,d l ed ks.k f=kHkqt d hl HkhHkqt k,¡iw.kkZad gSaA buesals,d Hkqt k d hy EckbZ11 bd kbZgSf=kHkqt d k{ks=kQ y oxZbd kbZesafd l d s

e/; gksxkA (A) 1 and 100

(B) 100 and 200

(C) 200 and 300

(D) More than 300


RESONANCE

STaRT2013 _X_13-01-13 9

42.

ABCD is a rectangle and lines DX, DY and XY are drawn as shown. Area of AXD is 5, Area of BXY is 4 and area of CYD is 3. If the area of DXY can be expressed as

x where x  N then x is equal to ft l esajs[kk,¡DX, DY rFkk XY [khap h xbZgSA ;fn AXD d k {ks=kQ y 5, BXY d k

fn;sx;sfp=k esaABCD ,d v k;r gSA {ks=kQ y 4 rFkk CYD d k {ks=kQ y 3 gksv kSj DXY d k {ks=kQ y X

A

x

gks] t gk¡x  N rksx d k eku gSA

B Y C

D

(A) 72 43.

(B) 75

(C) 84

(D) 96

Consider a square ABCD of Side 12 and let M, N be the midpoints of AB, CD respectively. Take a point P on MN and let AP = r, PC = s. Then the area of the triangle whose sides are r, s, 12 is : ,d oxZABCD d h Hkqt k 12 l seh- gSA ekuk AB rFkk CD d se/; fcUnqØ e'k% M,N gSaA MN ij fLFkr d ksbZfcUnqP bl izd kj gSd h AP = r, PC = s rc r, s, 12 Hkqt kv ksaoky sf=kHkqt d k {ks=kQ y gksxk : rs rs (A) 72 (B) 36 (C) (D) 2 4

PART - IV (BIOLOGY)

Hkkx- IV ¼t ho foK ku½



The compounds A,B and C in the following Diastase

Zymase

Maltase

A B C (A) starch, sucrose, fructose (C) starch, maltose, glucose

reaction sequence are -

C2H5OH + CO2 (B) sucrose, maltose, glucose (D) starch, sucrose, glucose

fuEu vfHkfØ ;k vuqØ e esa;kSfxd A,B,o C gSa& Mk;LVst

ekYVst

t k;est

A B C (A) LVkpZ ]lqØ kst ]Ý DVkst (C) LVkpZ ]ekYVkst ]Xy wd kst

45.

C2H5OH + CO 2

(B) lq Ø kst ]ekYVkst ]Xy wd kst (D) LVkpZ ]lqØ kst ]Xy wd kst

Formation of glycogen from glucose is – (A) Glycogenesis (B) Gluconeogenesis

(C) Glycogenolysis

(D) Polymarization

Xy kbd kst u d k Xy wd kst +lsfuekZ.k d gy krk gS& (A) Xykbd ks ts us fll (B) Xyw d ks fu;ks ts usfll

(C) Xykd ks ft uks y kbfll

(D) ikW y hejkbt s 'ku

¼cgqy hd j.k½


RESONANCE

STaRT2013 _X_13-01-13 10

46.

Assertion : Death is regarded as the most regulatory process on earth correct reason for above Assertion is : (A) t avoids over - crowding caused by continuous reproduction. (B) With the death of many people suffering from some severe infectious diseases, probability of spreading of such disease reduces (C) decomposition of the dead organisms aids to the fertility of the soil (D) None of these d Fku: e`R;qi`Foh ij fu;fer izfØ ;k gSA (A) ;g y xkrkj t uu d sd kj.k t ula [;k vfro`f) d ksjksd rk gS (B) y ks xksd he`R;qd s}kjk fcekfj;ksad sQ Sy usd hlEHkkouk d ksjksd rk gSA (C) e` r t hoksd svi?kVu }kjk e`nk moZjd rk esao`f) gksrh gSA (D) mijks Dr esalsd ksbZughaA

47.

Which statements best explains evolutionary advantage of meiosis (A) genetic recombinations are possible from one to next generation (B) meiosis alternates with mitosis through generations (C) Same genetic system is passed through generations (D) Meiosis is necessary for sexual reproduction.

d kSulkd Fku v) Zl w=khfoHkkt u d smn~fod kfl; egRo d ksLi"V d jrkgSA (A) t ufud iq uZ;kst u ,d ih
In absorptive heterotrophy. (A) Solid organic food is obtained from outside (C) In-organic raw materials are obtained

(B) Liquid organic food is got from outside (D) Energy is absorbed from sun

vo'kks"k.kfo"keiks"k.kesa& (A) Bks l d kcZfud inkFkZd k vUr%x`g.k ckgj lsfØ ;k t krk gSA (B) rjy d kcZ fud inkFkZd k vUr%x`g.k ckgj l fd ;k t krk gSA (C) vd kcZ fud d PpsinkFkZizkIr d jrsgSA (D) Å t kZlw ;Zlsvo'kksf"kr d ht k ld rhgSA 49.

It is very difficult to stop cell divison when the cell has entered (A) G1 – phase (B) G2 – phase (C) S – phase

d ksf'kd kfoHkkt u d ksjksd ukeqf'd y gSt c d ksf'kd kizos'kd jrhgSA (A) G1 – iz koLFkk (B) G2 – iz koLFkk (C) S – iz koLFkk 50.

(D) prophase (D) iw okZ oLFkk

Callus is (A) Material used in healing in phloem (C) An undifferentiated mass of cells

(B) Secondary tissue developed by woody plants (D) a cultural medium

d Sy l gSA (A) ¶y ks ,e d h Hkj.k esaiz;qDr inkFkZ (C) vfoHks fnr d ks f'kd klew g

(B) d k"Bh; iknikses afod flr (D) ,d iks "kd ek/;e

f}fr;d Å Ùkd


RESONANCE

STaRT2013 _X_13-01-13 11

PART-V (GENERAL AWARENESS)

Hkkx- V ¼l kekU; K ku½



Given below are the names of cyclones occurring in different parts of the world. Identify the correct pairs. a. India - Hurricane b. China - Typhoons c. Central America - Cyclone d. Australia - Willy Willies (A) a and b (B) b and· c (C) b and d (D) c and d

uhpsfo'o d sfofHkUu HkkxksaesamRiUu gksusoky spØ okrksad suke fn;sx;sgSaA lgh ;qXeksad ksigpkfu;sA (a) Hkkjr & gjhd s u (b) phu & VkbQ w u (c) e/; ves fjd k & pØ okr (d) vkLVª sfy ;k & foy h foy h (A) (a) rFkk(b) 52.

(B) (b) rFkk(c)

(C) (b) rFkk(d)

(D) (c) rFkk(d)

Which of the following statements refers to transhumance? (A) Seasonal movement of people from one region to other region for better economic opportunities. (B) Seasonal movement of people from one country to the other country in search of jobs. (C) Seasonal movement of people from mountainous areas to plain areas to avoid cold weather. (D) Seasonal movement of people along with their herds of livestock In search of pastures from one region to the other.

fuEu esalsd kSulk d Fku _ rqvUrj.k d k fu: i.k d jrk gS\ (A) ;Fks PN vkfFkZd voljksad sfy , y ksxksad k ,d izns'k lsnwl jsizns'k esa_ rqfu"B xeukxeu (B) y ks xksaesajkst xkj d h [kkst esa,d ns'k lsnwl jsns'k esa_ rqfu"B xeukxeuA (C) y ks xksad k ioZrh; HkkxksaesaeSnkuh Hkkxksaesa'khr _ rqlscpko d sfy , _ rqfu"B xeukxeuA (D) y ks xksad k viusi'kq/ku d slkFk ?kkl d seSnku d h [kkst esa,d {ks=k lsnwl js{ks=k esa_ rqfu"B xeukxeuA 53.

The Revolt of 1857 was a landmark in the history of British India because (A) resistance of native powers collapsed (B) India passed under the direct control of British Crown. (C) Anglo–French conflict subsided in Europe and India. (D) Indian rulers entered into subsidiary alliance with the British. 1857 d kfonz ksg fczfV'kHkkjr

d sbfrgkl d h;qxkUrjd kjh?kVukFkhD;ksafd (A) ns 'khrkd rksad kizfrjks/klekIr gksx;kA (B) Hkkjr fcz fV'krkt d slh/ksfu;a=k.k esavk x;kA (C) ;w jks i o Hkkjr es avka Xy&Ý ka l hlhla ?k"kZ'kka r gksx;kA (D) Hkkjrh; 'kkld fcz Vsu d slkFklgk;d lfU/kesaca/kx,A (SPACE FOR ROUGH WORK)

RESONANCE

STaRT2013 _X_13-01-13 12

54.

The East India Company introduced the 'Permanent Settlement' in 1793. Which of the following was not a feature of this system ? (A) The Rajas and Talukdars were recognized as Zamindars. (B) The revenue was calculated on the basis of assessment of land and size of fields in each village. (C) The Zamindars collected rent from the peasants and paid revenue to the Company. (D) The revenue was fixed permanently and was not to be increased in future. bZLV bf.M;k d Eiuh us1793 essa^LFkk;h cUnkscLr vkjEHk fd ;kA fuEu esad kSulh bl O;oLFkk d h fo'ks"krkughaFkh \ (A) jkt k o rky q d nkj t ehankj d s: i esavfHkKkr d j fy , x,A (B) iz R;sd xk¡o esa[ksrksad svkd kj ,oaHkwfe xq.krk d s vk/kkj ij jkt Lo d h x.kuk d h t krh FkhA (C) t eha nkj fd lkuksalsy xku ,d f=kr d jrsFksvkSj d Eiuh d ksjkt Lo nsrsFksA (D) jkt Lo LFkk;h : i es afuf'pr d j fn;k Fkk o Hkfo"; esac<+k;k ughat krk FkkA

55.

Westem eduction proved to be significant because it (A) changed the habits of Indians (B) led to industrialization of India (C) established democracy in India (D) Changed the thinking and outlook of the Indian

ik'pkR; f'k{kklkFkZd fl) gqbZD;ksafd blus (A) Hkkjrh;ks ad hvknrsacny nhA (C) Hkkjr es aizt krU=kLFkkfir fd ;kA 56.

(B) Hkkjr d ksvkS | ksxhd j.kd hvksj c<+k;kA (D) Hkkjrh;ks ad hlksp o n`f"Vd ks.kd kscny

fn;kA

The Indigo farmers (ryots) were facing oppressive conditions for a long time. However, they decided to rebel against the planters in 859 because (A) ryots had to sign an agreement for planing indigo against a loan. (B) planters forced the ryots to plant indigo on the best soil meant for cultivating rice. (C) the price that the ryots got for the indigo was very low and the cycle of loans never ended (D) ryots had the support of local zamindars, village headmen as well as of the British Govemment. uhy mRiknd fd lku~¼jS;r½ d kQ h le; lsneukRed ifjfLFkfr;ksad k lkeuk d j jgsFks]rFkkfir mUgksaus859 esa

ckxku&ekfy d ksad sfo: ) fonzksg d kfu'p; fd ;kD;ksafd (A) _ .k d s,ot es ajS;r d ksuhy mxkusd sle>kSrsij nLr[kr d juk iM+rk FkkA (B) ckxku&ekfy d ks ausjS;rksad k /kku mxkusd h loks±Ùke Hkwfe ij uhy mxkusd ksck/; fd ;kA (C) uhy d h t ksd her jS ;r d ksfey rh Fkh og d kQ h d e Fkh vkSj _ .kksad k pØ d Hkh [kRe ughagksrk FkkA (D) jS ;r d ksLFkkuh; t ehnkjksa]xzke izeq[kksad slkFk&lkFkfczfV'kljd kj d kleFkZu FkkA 57.

Read the following statements a. Ozone is found mostly in the stratosphere b. Ozone layer lies 55-75 kms above the surface of the earth. c. Ozone absorbs-ultraviolet radiation from the Sun. d. Ozone layer has no significance for life on the earth. Which set of the statements is correct ? (A) a and c (B) b and d (C) b and c

(D) a and d

fuEu d Fkuksad ksif<+;sA a.vks t ksu T;knkrj lerki eaM y esaikbZt krh gSA b. vks t ksu ijr i`Foh d h lrg ls55-75 fd eh Å ij ikbZt krh gSA c. vks t ksu lw;Zlsvkusoky h ijkcSxuhfd j.kksad kslks[krh gSA d. i` Foh ij t hou d sfy , vkst ksu ijr d h d ksbZegÙkk ughagSA d Fkuksad k d kSulk lewg lgh gS\ (A) a ,oac (B) b ,oad (C) b ,oac

(D) a ,oad


RESONANCE

STaRT2013 _X_13-01-13 13

58.

Match list  (Forest types) with list (Types of trees) List -I List-II a. Tropical Evergreen I-Oak, pine, eucalyptus b. Temperate Evergeen II-Oak, ash, beech c. Tropical Deciduous III-Rosewood, ebony, mahogany d. Temperate Deciduous IV- Sal, teak, shisham Which of the following is the correct matching ? (A) (a-II), (b-IV), (c-III), (D-I) (B) (a-IV), (b-II), (c-I), (D-III) (C) (a-I), (b-III), (c-II), (D-IV) (D) (a-III), (b-I), (c-IV), (D-II) lwp h -  lwp h- (ouksad sizd kj) d ks¼o`{kksad sizd kj½ lsfey kb;s lw p h-I lw ph-II a. m".kd fVcU/kh; lnkcgkj I-vks d ]phM+]lQ s nk b.'khrks ".kd fVcU/kh; lnkcgkj II-vks d ],s'ko`{k]chp o`{k c. m".kd fVcU/kh; i.kZ ikrh III-jks t cq M o`{k]vkclwu]egks xuh d. 'khrks ".kd fVcU/kh; i.kZikrh IV- lky ]Vhd ]'kh'ke fuEu esalsd kSulk lgh lqesfy r gS? (A) (a-II), (b-IV), (c-III), (D-I) (B) (a-IV), (b-II), (c-I), (D-III) (C) (a-I), (b-III), (c-II), (D-IV) (D) (a-III), (b-I), (c-IV), (D-II)

59.

A ‘republic is a state in which the Head of the State is : (A) nominated by the Prime Minister (B) elected, directly or indirectly, by the people (C) selected by the ruling party (D) self-appointed.

x.kra=k,sl k jkT; gksrk gSft lesajkT;k/;{k (A) iz /kkuea=kh}kjkukekafd r gks rkgSA (C) 'kkld ny }kjk p;fur gks rk gSA 60.

(B) iz R;{kvFkokijks{k : i lst urk}kjk fuokZfpr (D) Lo;a}kjkfu;q ä gksrkgSA

gksrkgSA

India is federal state because its constitution provides for (A) dual citizenship (B) division of powers between the union and the states (C) a written constitution (D) election of members of Parliament by the people

Hkkjr ,d la?kh; jkT; gSD;kasfd (A) bld sla fo/kku esanksgjhukxfjd rkd kizko/kku gSA (B) bld sla fo/kku esala?k ,oajkT;ksad schp 'kfDr;ksad sfoHkkt u d k izko/kku gSA (C) bld kfy f[kr la fo/kku gSA (D) bld sla fo/kku esat urk}kjk lal n~lnL;ksd sfuokZp u d kizko/kku gSA 61.

Which Fundamental Right of the citizens of India was violated in the Bhopal Gas Tragedy (1984) ? (A) Right of Equality (B) Right to Freedom (C) Right to Life (D) Right against exploitation Hkksiky xSl nq[kkafrd k(1984) esaHkkjr d sukxfjd ksad sfd l ekSfy d vf/kd kj d kguu gqv kFkk? (A) lerkd kvf/kd kj (B) Lokra =; vf/kd kj (C) t houkf/kd kj (D) 'kks "k.kd sfo: ) vf/kd kj (SPACE FOR ROUGH WORK)

RESONANCE

STaRT2013 _X_13-01-13 14

62.

India's Constitution has specifically ensured cultural justice for the minorities through (A) Preamble (B) Fundamental Right (C) Directive Principles of state policy (D) Free Elections

Hkkjr d klafo/kku vYila[;kd ksad sfy , lkaLÑ frd U;k; d ksfof'k"B : i lsbllslqjf{kr j[krkgSA (A) mís f'kd k¼vkRek½ (B) ekS fyd vf/kd kj (C) jkT; uhfr d sfuns 'kd fl) kar (D) Lora =kpquko 63.

State-controlled media is inconsistent with the ideology of (A) Democratic state (B) Communist state (C) Fascist state

(D) Theocratic state

jkT; fu;a f=kr la pkj ek/;ekasd hvo/kkj.kkbld siz frd yw gS A (A) y ks d rkaf=kd jkT; (B) lkE;oknhjkT; (C) Q klhoknh¼vf/kuk;d oknh½jkT; (D) /keZ rkaf=kd jkT; 64.

65.

The appeal of Democracy is based on the fact that Democracy : (a) upholds freedom of conscience. (b) offers the opportunity of free thinking and expression (c) guarantees equal opportunity to have jobs in the public sector. (d) protects the privileges of the elites. Which pair of answers is true ? (A) a and b (B) b and c (C) c and d

(D) a and d

y ksd ra=k blfy , vPNk y xrk gSD;kasfd y ksd ra=k % (a) va rjkRekd hLora=krkd ksekU;rkd kvolj lqy Hkd jkrkgSA (b) Lora =k fparu ,oavfHkO;fDr d k volj lqy Hk d jkrk gSA (c) lkoZ t fud {ks=k esajkst +xkj d sleku volj d h xkjaVh nsrk gSA (d) fof'k"V oxZd sfo'ks "kkf/kd kjksad hj{kkd jrkgSA d kSulk mÙkj&;qXe lgh gS? (A) a vkS jb (B) b vkS jc (C) c vkS jd

(D) a vkS jd

Read the following statements. a. Unity in spite of dissimilarities implies ‘unity in diversity’ b. Indians’ diverse dress and food habits threaten national unity. c. There has been a feeling of general unity among Indians since ancient time d. Communalism weakens ‘unity in diversity. Which alternative has all the correct statements? (A) a, b, d (B) a, c, d (C) a, b, c (D) b, c, d

fuEu d Fkuksad ksif<+;sA a. vlekurkvks ad sckot wn ,d rkd kfufgrkFkZgSfofo/krkesa,d rkA b. Hkkjrh;ks ad hfofo/kos'kHkw"kk ,oa[kkuiku d h izÑ fr jk"Vªh; ,d rkd sfy , [k+rjkgSaA c. iz kphu d ky lsgh Hkkjrh;ksaesaO;kid ,d rk d h vuqHkwfr jgh gSA d. lka iz nkf;d rkfofo/krkes a,d rkd ksd et + ks j d jrhgS A buesalsfd l fod Yi esalHkh lgh d Fku gSa? (A) a, b, d

(B) a, c, d

(C) a, b, c

(D) b, c, d


RESONANCE

STaRT2013 _X_13-01-13 15

PART - VI (MENTAL ABILITY)

Hkkx- VI ¼ekufl d ;ksX;rk½


lh/ksoLrqfu"B izd kj bl [k.M esa(66-75) cgq& fod Yih iz'u gSaA izR;sd iz'u d s4 fod Yi (A), (B), (C) rFkk (D) gSa]ft uesalsfl Q Z,d l gh gSA

Directions (66 to 68) : Find the missing terms :

funsZ'k (66 to 68) % 66.

y qIr in Kkr d hft , %

111, 114, 120, 123, 129, ? (A) 136

67.

(B) 138

(D) 145

(C) IHFGP

(D) KJHGP

(C) 8

(D) 6

(C) 64

(D) 74

UTRQU, QPNMT, MLJIS, IHFER, ? (A) EDCAQ

5 68.

3

9

(B) EDBAQ

6 11 8

12

5 12 7

(A) 12 69.

(C) 141

? 6

(B) 9

If RAT = 42 and CAT = 57, then LATE = ?

;fn RAT = 42 vkSj CAT = 57 gksrksLATE = ? (A) 60 70.

(B) 70

If it is possible to make a meaningful word with the third, the fourth and the eleventh letters of the word CONTROVERSIAL, which of the following will be the last letter of that word ? If more than one such words can be made, give M as the answer and if no such word is there, give X as the answer.

;fn og lEHko gksfd 'kCn 'CONTROVERSIAL' d srhljs]pkS FksvkSj X;kjgosav{kj lsd ks bZvFkZiw.kZLora=k'kCn cukuklEHko gks] rksfuEu esalsd kSulk v{kj ml 'kCn d k vfUre v{kj gksxk \ ;fn bl izd kj d s,d lsvf/kd 'kCn cukuk lEHko gksrksmÙkj M nhft ;svkSj ;fn d ksbZ'kCn cukuk lEHko ughagksrksmÙkj X nhft ;sA (A) S

(B) I

(C) X

(D) M


RESONANCE

STaRT2013 _X_13-01-13 16

Direction (71) : Study the following information to answer the given questions : A word arrangement machine when given an input line of words, rearranges them following a particular rule in each step. The following is an illustration of the input and the steps of rearrangement. Input

: but going for crept te light sir

Step I

: crept but going for te light sir

Step II

: crept going light but for te sir

Step III

: crept going light but for te sir

Step IV

: crept going light but for sir te

Step IV is the last step for this input. As per the rules followed in the above steps, find out in the given questions the appropriate step for the given input. (A) like nuke true veto be se my (C) be my se like true veto nuke

(B) be my like se true veto nuke (D) veto true nuke like se be my

funsZ'k(71) : lqp uk d k /;ku iwoZd v/;;u d jd siz'uksad smÙkj fnft ;s: ,d 'kCn O;ofLFkd j.kmid j.kesat c 'kCnksad h,d ifDr nht krhgSrksog mls,d fuf'pr fu;e es apj.kksad s: i esaO;ofLFkr d j nsrk gSA uhps,d buiqV rFkk mld spj.kksad k izk: i gSA buiqV : but going for crept te light sir pj.kI : crept but going for te light sir pj.kII : crept going light but for te sir pj.kIII : crept going light but for te sir pj.kIV : crept going light but for sir te pj.kIV bld k vfUre pj.k gS Å ij pj.kksaesafn;sx;sfu;e d svk/kkj ij iz'uksad smÙkj fnft ;sA ;fn buiqV 'true se veto be nuke my like', gksrks]fuEu esalsd kSu lk pj.k IV gksxk ? (A) like nuke true veto be se my (C) be my se like true veto nuke 72.

(B) be my like se true veto nuke (D) veto true nuke like se be my

Two watches, one of the which gained at the rate of 1 min. and other lost at the rate of 1 min. daily, we set correctly at noon on the first January 1978. When did the watches indicated the same time ? (A) Dec. 27, 1978 midnight

(B) Dec. 26, 1978 noon

(C) Dec. 25, 1978 noon

(D) Dec. 28, 1978 noon

nks?kfM+;k¡] ft lesals,d jkst kuk,d feuV rst rFkknwl jh,d feuV /khehpy rhgSmls,d t uojh 1978 d ksnksigj esalgh lsV fd ;k x;k rkscrkbZ;s?kfM+;k¡leku le; d c iznf'kZr d jsxh ? (A) fnlEcj 27, 1978 e/; jkf=k (B) fnlEcj 26, 1978 nks igj (C) fnlEcj 25, 1978 nks igj (D) fnlEcj 28, 1978 nks igj


RESONANCE

STaRT2013 _X_13-01-13 17

73.

If every alternate letter starting from B of the alphabet series is written in small letters, rest all are written in capital letters, how will the month of 'September' be written ? B lsçkjEHkd jrsgq , ;fn

vaxzst ho.kZeky kd sçR;sd ,d kUrj v{kjsad ksNksVsv{kjksaesafy [kkt k;srFkkvU; d kscMsv{kjksesafy [kk

t k;srks]'September' ekg d ksd Sl sfy [kk t k;sxk \ (A) SEpteMbeR 74.

(B) SEptembER

(C) SEptEMbEr

(D) None of these

In the correctly worked out multiplication problem at the below, each letter represent a different digit. What is the value of B ? fupsfn;sx;sxq.ku d kslgh : i lsfd ;k t k;srksizR;sd v{kj ,d fHkUu la[;k iznf'kZr d jrk gSA B d k eku D;k gksxk \ A X A B

A B B

A A

X B

A 3

(A) 1

(B) 2

(C) 4

(D) 5

Direction : (75) Each of the following questions consists of five figures marked 1, 2, 3, 4 and 5. These figures form a series. Find out the one from the answer figures that will continue the series.

funsZ'k : (75) izR;sd iz'u esa] fp=kksad snksl ewg gSaA iz'u v kÑ fr rFkk mÙkj v kÑ fr] mÙkj v kÑ fr A, B, C rFkkD l sv afd r gSA mÙkj v kÑ fr;ksaesal sml v kÑ fr d k pquko d hft ;st ksiz'u v kÑ fr esanh xbZv kÑ fr;ksad h Jsa.kh d ksv kxsc<+k l d sA Problem Figure (l eL;k v kÑ fr) 75.

(1)

(2)

(3)

Answer Figure (mÙkj

(A)

(B)

(4)

(5)

v kÑ fr)

(C)

(D)


RESONANCE

STaRT2013 _X_13-01-13 18

ResoSTART stage 2 paper of 2013 for class 10

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