JUNIOR SQUAD. Team Details. presents. Name of the participants Roll No.: School Name: Time: 2hrs 30min Maximum marks: 116 Minimum marks: -29

Transcription

1 presents Event Partner JUNIOR SQUAD Team Details Name of the participants Time: 2hrs 30min Maximum marks: 116 Minimum marks: Roll No.: School Name:

2 INSTRUCTIONS funsz'k ( i;k fueufyf[kr funsz'k /;ku ls i<+saa) lkeku; funsz'k 1. iz'u i= i<+us ls igys Vhe fooj.k [kkyh fn, LFkku ij HkjsaA 2. iz'u i= Ik<+us ls igys lr;fir djs fd iz'u i= esa 29 (Technothlon esa 24, TechnoFin esa 5) loky vksj 28 i`"b gsatechnofin [kam ds loky gy djuk vfuok;z ugha gs rfkk TechnoFin esa çkir vad Technothlon esa ;ksx ugh gksaxsa TechnoFin [kam ds funsz'kksa dk myys[k i`"b Øekad 18 ij fd;k x;k gsa 3. lkjs lokykas ds tokc vyx ls iznku dh xbz OMR if=dk esa ल ख Sa rfkk ijh{kk 'kq: gksus ds 2hr 30min ds ckn og if=dk tek djsaa 4. lokyksa ds lgh gksus ds ckjs esa fdlh iz'u dk mùkj ugha fn;k tk,xka 5. fdlh Hkh izdkj ds bysdvaksfud xstsv~l dh vuqefr ugha gsa 6. dksbz vfrfjdr OMR if=dk ugha iznku dh tk,xha p;u ekunam 1. jsafdax lhkh oxksz esa izkirk dqy vadks ds vk/kkj ij dh tk,xha ( न ट : TechnoFin ख ड क अ क य ग नह ह ग ) 2. ifj.kke gekjh osclkbv technothlon.techniche.org ij 10 vxlr 2016 dks?kksf"kr fd;k tk,xka vius ifj.kke dh tk p djus ds fy,] vius jksy uacj तथ iklomz ds lkfk y fxu djsaa 3. 'kh"kz 50 Vheks dks Mains ds fy, IIT Guwahati vkeaf=r fd;k tk,xk rfkk xksymu izek.k i= ds lkfk LkEekfur fd;k tk,xka vxyh 200 Vheks dks Silver izek.k i=ksa ds lkfk leekfur fd;k tk,xka OMR vuqns'k 1. OMR ds lkfk NsM+ NkM+ u djsaa 2. dkys isu ( Black Ball Point Pen ) ls Bhd ls cqycqys dkys djsaa 3. Bhd ls OMR es lhkh fooj.k HkjasA 4. mùkj Hkjus dh lgh fof/k dk ç;ksx djsa tslk fueu fn, fp= es fn;k x;k gsa Wrong Correct

3 MARKING SCHEME vad iz.kkyh ( i;k fueufyf[kr funsz'k /;ku ls i<+saa) Climb and fall scheme (p<+uk तथ fxjuk ;kstuk): bl ;kstuk esa 6 izdkj dh fhkuu ;kstuk, gsa vki Vkbi 1 vadu ;kstuk ls 'kq: djsaxsa tc Hkh vki,d loky dk lgh mùkj nsaxs vki Lopkfyr :i ls vadu ;kstuk Vkbi 2 ij vk tk,axs vksj blh izdkj ls vki Vkbi 6 ij igq p ldrs gsa gkykafd] vxj vxys fdlh प रश न dk xyr mùkj fn;k rks vuqøe VwV tk,xk vksj fqj ls Vkbi 1 vadu ;kstuk ls 'kq: djuk gksxka Vkbi 1: (+2, 0) Vkbi 2: (+3,-1) Vkbi 3: (+4,-2) Vkbi 4: (+5,-3) Vkbi 5: (+6,-4) Vkbi 6: (+7,-5) Full or Nil (iw.kz ;k 'kwu;): bl ;kstuk dk ç;ksx djus okys [kam esa vkidks vad rhkh çkir gksaxs tc vki [kam ds lkjs lokyksa dk lgh mùkj ns ik, xs],d Hkh mùkj xyr gksus ij vkidks ml [kam es dksbz Hkh vad çkir ugh gksaxsa Lazy Caterer s Sequence(vkylh dsvjj dk vuqøe) : ;g vuqøe crkrk gs fd lh/kh js[kkvksa dh nh x;h la[;k }kjk fdlh pø ds vf/kdre fdrus VqdM+s gks ldrs gsaa mnkgj.k ds fy, Vhu lh/kh js[kkvksa esa dkvdj fdlh dsd ¼cake½ ds 6 VqdM+s fd, tk ldrs gsa vxj rhuksa js[kk;sa dsd ij,d gh fcanq ij feyrs gsa] ijarq vxj rhuksa js[kk,,d gh fcanq ij uk feysa rks dsd ds 7 Hkkx fd, tk ldrs gsaa vxj vuqøe dk n th uacj X n gs] X n =¼n 2 + n +2½/2 tgk ij n>0, X 0 ¾ 0- bl ;kstuk dk ç;ksx djus okys [kam es vxj vki n ç'uksa dk lgh rfkk m ç'uksa dk xyr mùkj nsrs gsa rks vkidks ml [kam es çkir gq, vad ¾ X 2n - X m Boomerang scheme(cqesjkax ;kstuk): bl ;kstuk dks ç;ksx djus okys [kam es vkidks fueufyf[kr vk/kkj ij vad çkir gksaxs lgh mùkj : ++3 dksbz mùkj ugh : 0 xyr mùkj : &3 3

4 ENTRANCE TO THE CASTLE. Marking Scheme : Full or Nil with maximum of 7 ekfj;ks ds lkeus,d fo kky }kj gs ftlij,d vnhkqr rkyk yxk gqvk gs] tks uhps fn[kk;k x;k gs A rkys ds Åij fyk[kk Fkk - EACH CIRCLE IS UNIQUE. N T Z mlk N% IysV feyrs gs] ftues ikwap ij FROZEN, DENTIST, LISTED, TORS vksj FASTEN fy[kk gs A ijarq NBok IysV i<k ugha tk ldrk A ekfj;ks dh le> vkrk gs fd TkqMh gqbz ykbzusa vly es,d kcn dks Ik<Uk dh fn kk Ckrkrk gs A tslk fd mnkgj.k esa SWORDS dh fn kk n kkz;h x;h gs ] tks fd fukjarkj ykbzuksa ls TkqMh gqbz gs A (W ds CkXkYk esa S Ukgha gs ijarkq Okg,dgh ykbzu esa gs A ) nwlkjk mnkgj.k - IkgYk fpk= esa T,Z ds kcn (Øfed,d d ckn,d) g ldrks gs IkjURkq N,Z ugh g ldrks D; afd Ok a,d ykbzu esa ugh gs A mlk lkj v{kj Lkgh TkXkg ij MkYkUk g axk RkkYkk [k yuk d fyk, A Question 1 : buesa ls dksulk kcn NBok IysV ij gks ldrk gs \ F (a) TOASTED (b) FRIEND (c) AROSE (d) TARZAN Question 2 : MONSTER kcn ds fdrus v{kj Z ds lkfk vkm+s ykbzu esa gs A (a) 1 (b) 2 (c) 3 (d) 4 S O W R D 14

5 CASTLE LEVEL 1: WATCHMAN S PATIENCE Marking Scheme : Lazy Caterer s Sequence rkyk [kksyk vksj tsls gh njokts ls vunj /kqls] osls fe- ekfj;ks dk vkeuk lkeuk fe- Dosdh VjVy ls gks x;k] tks fd fdys dk cgqr gh prqj pksdhnkj gs A og vlaetl esa im+ x;k fdlh dks }kj ls vunj vkr gq,s ns[kdj vksj mlus ekfj;ks dks Hkhrj vkus ls jksdus dk fu.kz; ys fy;k A Question 3 : Dosdh dks n vad a ¼1ls 8 ds chpk½ dk xq.kuqy o ekfj;ks dks mugh vad a dk tksm fn;k x;ka 1. Dosdh dgrk gs fd ^eq>s uecjksa dk ugha irk gs* A ekfj;ks dgrk gs fd ^eq>s uecjks dk ugha irk gs * A 2. Dosdh dgrk gs fd ^eq>s uecjksa dk ugha irk gs* A ekfj;ks dgrk gs fd ^eq>s uecjks dk ugha irk gs * A 3. Dosdh dgrk gs fd ^eq>s uecjksa dk ugha irk gs* A ekfj;ks dgrk gs fd ^vck eq>s uecjks dk irk gs * A ml xq.kuqy ds uecj D;k gs \ (a) 6 (b) 8 (c) 12 (d) 16 Question 4 : igys [ksy esa gkjus ds Ik pkr og ekfj;ks dks?klhvrk gqvk,sls dejs esa ysdj x;k ftles nks dksbjh Fkh A ^v* vksj ^c* ftlesa,d dksbjh esa ^,e* dqrrs Fks vksj nqljs esa ^,u* dqrrs Fks A mlds ¼ekfj;ks½ ikl,d tknw ls dqrrk ekjus okyk Fkk] tks mls fdrus Hkh dqrrs ekjus dh btktr nsrk gs fdlh Hkh dksbjh esa ls vfkok nksuks dksbfj;ksa esa ls cjkcj dh la[;k ds d`rrs ekj ldrk gs A mnkgj.k ds fy, % og ^,* dksbjh esa ls pkj dqrrs o ^c* esa ls lkr dqrrs vksj rhu dqrrs nksuska ^v* vksj ^c* esa ls ekj ldrk gs A vius thou ds fy, ekfj;ks dks lhkh dqrrksa dks ekjuk vko ;d gs A vksj mls gh vk[kjh dqrrk ekjus okyk gksuk pkfg, A tcfd mls ;g vglkl gs fd DosDh ds ikl Hkh oslk gh tknw ls dqrrks dks ekjus okyk gs] vksj og mlds lkfk cjkcj dh ymkbz djsxk mls ekjus ds iz;kl esa DoSdh us ekfj;ks dks igyk nko pykus dks dgk A rks ekfj;ks dks fdrus dqrrs ekjus pkfg, ;fn dksbjh ^v* esa 12 dqrrs gs vksj ^c* esa 15 dqrrs rkfd og thfor jg lds A (a) 10 (b) 14 (c) 16 (d) 12 5

6 THE SMELLY TUNNEL Marking Scheme : Full or Nil with maximum of 8 Question 5 : DoSdh VVZy ls cpdj] ekfj;ks,d xans ikuh ls Hkjs lqjax ds vanj Hkkxk A mlus ogkwa ij /;ku fn;k dh ogkwa 15 IysVl ftl ij 1 ls 15 uacj vafdr Fks imh gqbz Fkh A vksj mlus ;g Hkh /;ku fn;k dh ogkwa,d cksmz ¼ftlds uhps½ funsz k ys[ks Fks & IysV ua- 1 vksj 2 ds chp dh nwjh IysV uacj 2 vksj 3 ds chp dhnwjh ls de gs] tks 3 vksj 4 ds chp dh nwjh ls Hkh de gs vksj blh dze ls nwjh py jgh gs A ** vr% ^v* $ ^c* dk ewy; fudkfy, vxj cksmz dh lhkh krksz dk iwjk djrs gq, IysV dks unshaded pdz ¼orZ½ ij j[ks ¼tgka ^v& vksj ^c* nksu uacj gs ftudks fn[kk, x, orzr esa Hkjuk gs A a b uksv % ;gkwa nwjh,d orz ds dsnaz ls nqljs orz ds dsnaz rd Hkkih xbz gs A (a)10 (c)14 (b)12 (d)16 6

7 CASTLE LEVEL 2 : DONKEY KONG S CHALLENGE Marking Scheme : Lazy Caterer s Sequence pksdhnkj ds iatksa ls cky &cky cpus ds ckn] ekfj;ks us vius vkis dks nq V xksfjyk Mksadh dkasx ds lkeus ik;k A uhps ns[kus ij mlus ns[kk fd og,d cgqr fo kky krjat ds cksmz ij [kmk gs A mlus ns[kk fd mlds lkfk cgqr lkjs krjat ds f[kykmh cksmz ds lkfk [kms gsa A Mksadh dksax tksj ls fpyyk;k] ^^vkf/kir;] iwjk vkf/kir;! rhu pquksrh vksj eq>s bu lc ls vkf/kir; pkfg, A** Valid moves of Knight Valid moves of Queen Hint % krajt ds [ksy esa] vkf/kir; dh lel;kvksa dk vfkz gs fd de ls de,d rjg dh krjat dh eksgjksa dks bl izdkj yxkuk fd lhkh eksgjsa,d lkfk pky py lds rkfd og iqjs cksmz ij,d lkfk geyk dj lds A ¼vkSj dksbz Hkh nh xbz?kmhnkj tkyh mls /kkrq ds fy,½ iq.kz vkf/kir; % ;g Hkh vkf/kir; dh rjg gs ij tks [kkus geyk djus okyks eksgjksa ls Hkjh gsa mu ij nqljs eksgjksa ls Hkh okj dj ldrs gsa A Question 6 : de ls de pkysa gkasxh ftlesa 8 *6 krajt cksmz ij vafre flfkfr esa] iq.kz vkf/kir; dj ldsa vxj vkjafhkd flfkfr lkfk esa fn, x, fp= ds Hkkafr gks A (a)8 (b)10 (c)12 (d)bu esa ls dksbz ugh 7 Initial positions of the knights

8 Question 7 : vki fdrus izdkj ls pkj jkfu;ksa dks ltk ldrs gsa bl izdkj ls fd og krjat ds cksmz dk 5 *9 vkf/kir; dj lds \ (a)4 (b)2 (c)6 (d)bu esa ls dksbz ugh Question 8 :,d 8x 8 krjat dk cksmz ftldk vkdkj,d Torus ds leku gs] tgkwa psl cksmz Torus ds vkarfjd?kjkry ij gs ¼tSls fd uhps fn[kk;k x;k gs ½ rks de ls de fdrus Knights dh t:jr gs iw.kz vf/kir; ds fy, A REPLACE (a)8 (b)10 (c)12 (d)bu esa ls dksbz ugh 8

9 INTERCEPTING THE CODE Marking Scheme : Full or Nil with maximum of 5 Question 9 : MkSadh dksax dks ijkftr djus ds ckn] ekfj;ks dks vius nkslr VksM }kjk lwfpr fd;k tkrk gs fd ftl nq V MªSxu us jktdqekjh ihp dks vxok fd;k gs] og,d vyx Hkk kk dk iz;ksx djrk gs ] tks fd vaxzsth o.kzekyk dks esvªhdl esa Mkydj cuk;k x;k gs A,oa fd jktdqekjh ml fdys es ogha gs A ekfj;ks fdys ls ckgj fudyus ds fy,,d [kqfq;k lqjax dk iz;ksx djus dh dksf k k djrk gs A ijarq mldks lqjax ds }kj is fups fn[kk;k x;k ikslvj fn[krk gs A ekfj;ks dks bl fp= }kjk crk;k tkus okyk oks t:jh kcn crk, ftl ls og ikslvj dks gvk lds vksj ckgj tk lds A ekfj;ks dks nqfo/kk es ns[krs gq,s] VksM fvii.kh djrk gs fd og Kkr gs kcn ds ckjs esa A oodc dorw +*-!! kcn dk nwljk v{kj crk, A (a)s (b)h (c)i (d)v * *! * * - - *!!! 9

10 OUT IN THE AIR! Marking Scheme : Climb and Fall * fueufyf[kr 6 iz uksa ds mrrj iw.kkzad ¼Integer½ ¼nks vad okys iw.kkzad½ gsa A vkidks OMR esalgh uecjksa ds lkeus fu kku yxkuk gs A mnkgj.k % 0 rfkk 8 ds?ksjksa ij fu kku yxk,s ;fn mrrj 8 gs A 4 rfkk 4 ds?ksjkas ij fu kku yxk,sa ;fn mrrj 44 gs A Question 10 : fdys ls ckgj fudyus ds ckn ekfj;ks dks tksjks dh Hkq[k yxh A og,d utnhdh pkdysv ds nqdku esa tkrk gs] ogkwa nqdkunkj ds ikl 9 tkj gs ] ftues dze k % 4,2,6,7,3,4,5,8,3 tsyhfq k ejs gq,s gs A izr;sd lsd.m esa mls fdlh,d tkj ds tsfyfq k dh la[;k nqxuh djuh i<+rh gs vfkok izr;sd tkj ls,d tsyhfq k [kkuk im+rk gs A D;k ekfj;ks bl izdkj gj tkj dks [kkyh dj ldrk gs \ vxj gkwa] rks tkjks dks [kkyh djus dk U;qure le; crk, A ¼mRrj 0 vxj ukwa½ Question 11 : og blds ckn e k:e ekdszv es izos k djrk gs A ekdzsv es tc Hkh nks yksx,d nqljs dks vfhkoknu djrs gs rks mugs,d nwljs ds e k:e dks vnykcnyh djuk imrk gs A ekdzzsv es 64 yksx ekstwn Fks A le; ds cpr ds fy, gj vkneh ds tksm+s dks dsoy,d gh ckj vfhkoknu djus dh btktr gs A ekfj;ks ds vusd vfhkoknu ds ckn ;g eglwl fd;k fd lhkh e k:eks dks muds vlyh ekfyd dks vfhkoknu ds ek/;e es yksvkuk lehko ugh gs A bl my>u dks rdz leer lqy>kus ds fy,] og vksj vf/kd yksxksa dh e k:e lfgr ykus dk fu p; djrk gs ftlls yksx vksj vf/kd vfhkoknu dj ldsa rfkk viuk e k:e vnyk cnyh dj ldsa A fdrus vksj vf/kd yksxks dks yk;k tk, ftlls fd e k:eksa dks ¼vfrfjDr e k:eks dks tksm+dj½ muds vlyh gdnkj ¼ekfyd½ dks yksvk;k tk lds \ ekuks fd,d vkneh ds ikl,d e k:e gs A 10

11 Question 12 : blds vk;s ml ekdzsv es ekfj;ks ds 171 e k:e ls Hkjk,d cmk csx feyrk gs A csx ds yscy es fy[kk gksrk gs & 1 ls 171 fd-xzk- out] lhkh izdkj ekstwn gs A ekfj;ks pqwfd ugh tkurk Fkk fd fdl e k:e dk Oktu fdruk gs vr% og grizhk jg x;k A r cog,d irfkj cspus okys ds ikl x;k tks fd,d irfkj [kjhnus ls nks leku vkdkj o otuh irfkj eq r es ns jgk Fkk A ekfj;ks us fofhkuu izdkj ds irfkjksa dks nsus dks dgk vksj ;g Hkh dgk fd og bu irfkjks ls dksbz Hkh e k:e dks lk/kkj.k rjktw ls lgh rksy ldrk gs A og U;qure fdrus rjg ds irfkj [kjhnrk gs \ Question 13 : tc ekfj;ks ekdzzsv ds ckg;}kj ¼exit½ ij igqprk gs] og ikwap O;Drh;ksa dks ns[krk gs tks fd vf/kd ls vf/kd [kkus ds izfr;ksfxrk ds fy,,df=r gq, gs A izfr;ksfxrk;ksa es Hkw[k dh ek=k fu/kkzfjr Fkk A ¼;Fkk dksbz nks izfr;ksfx;ksa dk Hkw[k,d leku ugh Fkk½ rfkk tks vkneh lozizfke T;knk Hkw[k Fkk ¼izfr;ksfxrk ds izkjaehk esa½ og izfr;ksfxrk es thr gkfly fd;k A lhkh izfr;ksfx;ks dks muds izkjafhkd Hkw[k ds vuqlkj Lrj fu/kkzj.k ¼Rank½ gsrq fdrus eqdkcyks ¼face - off½ dh vko ;drk gksxh \ ekdzsv ds ckn ekfj;ks leqnz fdukjs igqprk gs A og leqnz esa dqn imrk gs A 11

12 UNDERWATER? Marking Scheme : Boomerang Scheme After the market, Mario reaches the sea coast. Seeing this is the end of the road, he dives into the sea, unknown to the challenges that wait in his path Question 14 : leqnz dh xgjkbz;ks es ekfj;ks dk lkeuk vkwdvh ikwil ls gksrk gs A og] vius fe= Dosdh dh rjg] igsyh vksj vvivs [ksy ilan djrs gs A ¼i½ izfker%] vkwdvksikwil ekfj;ks dks rhu ^pwgs* VwdMs dks fu;=a.k djus nsrk gs vksj [kwn,d fcyyh VwdMs dk fu;=a.k djrk gs A izkjehk es lhkh pkj VwdMks dks dgh ij,d lh/kh ykbu esa j[krs gs A og ckjhckjh ls viuh pky pyrs gs] ftles ekfj;ks LkCkl igy pyrk gs A gj pky esa] gj f[kykmh viuh,d xksvh dh lh/kh ykbzu ij,d bdkbz nwjh rd ys tkus dh btktr gs A vkwdvksikil rhkh thr ik,xk tc mldk ^fcyyh* VqdMk fdlh Hkh,d ^pqgs* VwdMs dks idm+ ysxk A ¼ii½ blh [ksy dks vc,d lh/kh ykbzu ds txg,d Vscy ij [ksyk tkrk gs] fu;e lc leku gs] dsoy bl ckj ekfj;ks ds ikl 20 ^pwgs* VwdMs gs A D;k vkwdvksikwikl gj ckj ftrsxk \ (a) gkwa,ugha (b) gkwa,gkwa (c) ugha,ugha (d) ugha,gkwa Question 15 : FkksMk vksj rsjus ds ckn mlus eglwl fd;k fd dqn ikuh dk leqnz ds ckgj [khap jgk gs A mlus ns[kk 6 QhV x 6 QhV dk cmk x<<k [kksnk x;k gs tks fd iwjs ikuh dks [khp jgk Fkk A mls ml x<<s dks Hkjus ds fy, 2 x 2 oxkzdkj VkbZYl rfkk 4 x 1 vk;rdkj VkbZYl dh t:jr Fkh A ykok ¼Lava½ dks iw.kz :ils <dus ds fy, VkbZYlks dks j[kus ds ckn (ftles dksbz Hkh VkbYl,d nwljs dks ugh <drk gs)] blls isnk gksus okyk vfrfjdr ncko,d VkbYl dks rksm Mkyrk gs A nqhkkzx;o k% tks cpk gqvk VkbZYl Fkk mldk vkdkj VwVs gq, VkbYl ls fhkuu Fkk A D;k ekfj;k cps gq, lhkh VkbYl dks iqu% ltkdj ml x<<s dks iw.kz :Ik ls <dus es l{ke gksxk \ (a) gkwa (b) ugha (c) gkw] rhkh tc VwVk gqvk VkbZYl 4 x 1 dk gk (d) gkw] rhkh tc VwVk gqvk VkbZYl 2 x 2 dk gks 12

13 BOWSER S CASTLE FOUND! Marking Scheme : Lazy Caterer s Sequence xgjkbz;ks esa rsjrs gq, ekfj;ks dks,d ukyk fn[krk gs] ftles og?kql tkrk gs] vksj FkksMh nsj ckn og vius lkeus uk cmk njoktk fn[krk gs ftl ij fy[kk gs ^^ckåtj vanj gs **A Question 16 : og vpkud eglwl djrk gs mlds isjks ds fups,d }kj gs ] tks [kwy tkrk gs vksj ekfj;ks fxj tkrk gs A mls le> vkrk gs fd og fdlh dmh lrg ij gs A,d Hkwr vkrk gs vksj dgrk gs] ;g,d lozlohd`r 8 x 8 krjat dk cksmz gs A gj pksdksj dks,d otu gs bl rjg ;s gs fd gj pksdksj dk otu mlds pkjks rjq ds pksdksjks ds otuks dk eku gs A ekfj;ks dks gj pksdksj dk otu crkuk gs] vksj mlds fy;s Hkwr mls ^X* pksdksjks dk otu crk,xk A U;qure ^X* fdruk gksuk pkfg, \ a) 8 b) 32 c) 56 d) bu esa ls dksbz ugh Question 17 : krjat ds cksmz okys ifk dks ikj djus ds ckn ekfj;ks,d dkydksbjh esa izos k djrk gs A bl dkydksbjh es 10 dejs gs] vksj og Hkwr buesa ls fdlh,d esa gs A gj fnu] Hkwr,d nwljs :e esa pyk tkrk gs A ekfj;ks dks tyn ls tyn mls idm+uk gksxk] ijarq ekfj;ks,d fnu esa,d gh dejk [kkst ldrk gs A ekfj;ks dks U;qure fdrus fnu yxsaxs Hkwr dks idm+us esa \ (a) 10 (b) 13 (c) 16 (d) bu esa ls dksbz ugh 13

14 THE CLOCK CHAMBER Marking Scheme : Full or Nil with maximum of 6 Question 18 : cm+h esgur ds ckn tc ekfj;ks bl Hkwr dks idm+rk gs] og mlls ckålj ds d{k esa tkus dk mik; iqnrk gs A Hkwr dgrk gs fd d{k dk iklomz,o /kkfezd?km+h;ks ds d{k esa gs A d{k ds vanj tkus ij mls 7?kM+h yvds gq,s fn[krs gs A Hkwr dgrh gs & ^^?km+h i<+uk rc kq: djks] fnu vksj jkr kq: tc gks, le; ns[kks vki Bhd ls] vksj ckgj fudy tk,**a T I N E F A R R A N G E M I E D S T S U N O T O S S T C A C L O R O C G K N D S I D I S Y S A P E L S Y A I N O R C T A D R R E E O R S A P M I H L U O U R T H A T L L mls ckgj tkus dh lhf<+;k fn[krh gs] vksj iklomz fy[kus ds fy, dh cksmz A crk, iklomz D;k gs \ (a)asterix (b)lucifer (c)thumper (d)raphael 14

15 BOWSER S CHAMBER - LEVEL 1 Marking Scheme : Lazy Caterer s Sequence varr% ekfj;ks ml dejs ds vanj igqwapk vksj ogkwa mlus,d Elevator ns[kk A mij igqpus ds Ik pkr og,d xksykdkj dejs ds dsanz ij igqwap x;k] tgkwa 49 njokts mlds pkjks rjq Fks A vksj mls ogkwa ij,d NMh feyh ftlls ;fn og,d njokts dks fgyk,xk rks ml ls ikwap njoktks dh flfkfr Ckny tkrh gs vfkkzr ftl dzec/n njokts dks fgyk;k x;k Fkk mlls kq: djrs gq,] vxys ikwap njoktks rd ¼pqus x, njokts½] [kqys njokts can gks tk,axs A tcdh can njokts [kqy tk,waxs A Question 19 : ekfj;ks dk y{k gs fd ml Flickable NMh dks dbz ckj blrseky djds d Oky,d njokts dh flfkfr Cknyuk A ekfj;ks dks fdruh ckmlj Flickabe NMh dks blrseky djuk gsa vius y{; dks izkir djus ds fy, \ (a) 25 (b) 32 (c) 40 (d) 49 Question 20 : vuqeku yxkbz;s fd ;nh NMh ls 5 dh txg 15 njoktks dh flfkfr Ckny tk, gks rks vki fdrus njoktksa ds lkfk leku y{k (,d njokts dh flfkfr Cknyuk )dks izkir dj ldrs gsa \ (a) 53 (b) 54 (c) 55 (d) bu esa ls dksbz ugh 15

16 BOWSER S CHAMBER - LEVEL 2 Marking Scheme : Lazy Caterer s Sequence ekfj;k dks varr% nq V Msªu ckmlj ds lkfk vkeuk lkeuk gqvk] tksfd mls ekjus ds fy, rs;kj gs ] ysfdu lhkh [kyuk;dksa dh rjg og Hkh mlds lkfk [ksy [ksyuk pkgrk Fkk mldh ekjus ls igys A rks mlus mlds mij viuh ilanhnk ^,y &VªkbZehuks pquksrh& ns nh A Hint : (An L - Triminio 2x2 dh VkbZy gs ftlesa ls,d ;qfuv pksdksj fudkyk x;k gsa ½ Question 21 : mlus lrg dks,d IysV esa cny fn;k tsls uhps fn;k x;k gs vksj dgrk gs fd L - Trinino dk rhu fgllk pksdksj gs vksj,d Nsn gs A og dgrk gs fd mlus 8 L - Trinino dk lrg ij blrseky fd;k gs vksj dsoy 11 x 1 single wrap tile tks mls nqljs Lrj ij ys tk ldrk gs A ysfdu lel;k ;g gs fd wrap tile,dne lrg tile ds leku gs] gqcgq A Wrap tile dh fdruh leekfor flfkfr;kwa gks ldrh gs A (a)1 (b)5 (c)9 (d)25 16

17 Question 22 : vafre pquksrh ds fy, ckmlj us dgk] ^^dksulk Integer N ogk,d VkbZYV vkdkj ys ldrk gs 2 x 1 ikls dk blrseky djds tks ^n* fhkuu izdkj ls Mkys tk ldrs gs A (a) lkjs Natural la[;k (b) n is power of 2 (c) n is an even number (d) n = 2,4 blkds ckn ckmlkj gkj ekuk tkrk gs ijarq Okg Ckrkrk gs fd jktdqekjh ihp mld ikl Ukgh cfyd IIT Guwahati esa gs A 17

18 A word from organizers of Technothlon 2016 Hey! We hope you had an intriguing two and a half hours racking your brains and scribbling your pens and pencil on the question paper which has been argued as one of the most competitive examinations conducted for the school students in India and abroad. Numerous thoughts might have passed through your mind. While at the other end, when we were deeply engrossed in the process of making the question paper, we too had our thoughts running - Is the paper too tough? Will the students find it interesting to solve the paper? Are the questions too arbitrary? After long thinking and contemplation we realised and this answer came up to us : "Its quite difficult to solve most of this paper in the stipulated time but that isn t our aim. Our aim is that you enjoy solving the paper - whether you solve it in the given time or afterwards. Our intention was to select the best and the brightest minds from across the country, through a paper that would uniformly inspire all young minds. This thirteenth edition of Technothlon prelims comes close to testing the mental prowess that a student requires to become a world leader and in turn inspire as many young minds as he/she can. Qualifying the Prelims would surely add as a boost to you and an excitement to look forward in the form of a visit to IIT Guwahati. With a prospect of winning the Ultimate School Champion title and thus a trip to the AMES Research Centre of NASA in California, USA, there will be much to aim for and expect laurels. However, in case you fail to do so, remember, it is never the end until you decide it to be, and never losing faith is necessary for success in life. As it is said, failures are the pillars to success! We do hope that you will positively take up this challenge, again come back next year and clear one of the most competitive exam. After the successful conduction of the thirteenth edition of Technothlon, the Chief Organizers would extend their thanks and regards to the city representatives, who braved the scorching heat of the summers and shivering cold of the winters to spread the word of Technothlon in cities across the country. Also our heartfelt thanks to the various organizers and faculty co-ordinators who were instrumental in the smooth conduction off the paper. Last, but not the least, special thanks to the Team Members, who helped us weave a question paper that all participants had fun while solving, I hope. 18

19 An open invitation for a lifelong association with Technothlon Before you feel like you have reached the end of a sensation, we should remind you that this is merely the beginning! The Technothlon community has been growing at a phenomenal rate,and we invite YOU, the future leaders of the country, to be a part of it. Regardless of whether you make it through to the final round or not, we cherish the opportunity to interact with every one of you. Facebook is our means of reaching out to the student community. Be connected, stay updated! We are eager to help through counselling of any kind required in any sphere by utilizing the experienced pool of IITians and highly qualified faculty of IIT Guwahati. And finally, we would be glad to receive any constructive feedback about the question-paper or any general issue that you would like to discuss with us. After all, your feedback is what Technothlon thrives on for improvement. Chief Organizing Team Dhrubojit Bhattacharya Amogh Shankar Gupta Akshay Alikanti Akshit Ughade Soumik Mukhopadhyay A. G. Goutham Contact us at

20 Like a picturesque canvas has the most precise blend of colours, patterns and brush strokes, Techniche year after year promises to be a perfect blend of ideas, innovation and enthrallment. It has stayed true to its vision of motivating the youth of our nation to think out of the box, expand their horizons and reach the zenith of success in all techno-management spheres. Techniche brings forth a kaleidoscope of events, be it the astounding keynotes delivered by globally admired personalities in The Lecture Series or the opportunity to interact with eminent industrialists in The Industrial Conclave. Rediscover your inclination towards the literary aspect of life challenging Literary Events and a chance to perfect your art of diplomacy through IIT Guwahati's Model United Nations. From thrilling Robotic competitions to the enriching Workshops, every bit promises to be a fulfilling experience. With innovative ideas like Technothlon - The International School Championship, The Guwahati Half Marathon as well as other life inspiring initiatives, Techniche has left no stone unturned and now takes pride in being one of the premiere techno-management festivals of the nation. T I N A R R T S C L O C R O I N C R T A O R D E LECTURE SERIES The Lecture Series Aserves U as a platform to inspire G and motivate thousands R of young minds across E the world Nby connecting N them with Kthe pioneers N in various Efields. OStudents and R professors, F participants and school children alike, all clamour into the auditorium to interact E G O with illustrious figures from D S I all walks of life who S A P come under one roof and M I share their experiences and Tideas. It brings you an opportunity to interact with such personalities who are at the helm of changing our world today. Previous speakers who have I G S D I graced the lecture series include M S Y H O the likes of John C. S Mather B E (The 2006 Physics U Nobel Laureate), OLyn Evans (Project ELeader, A Large Hadron PCollider, E CERN), Pranav R Mistry (The Inventor of 6th Sense Technology), Stephen P.Morse (Chief Architect, Intel 8086 D C E L H A Microprocessor), Richard Stallman (Founder, Free Software Movement), Walter Bender S (Ex-Director, MIT Media T A S Labs), etc. Having Y A gained immense popularity T L Lover the past few years, it is widely recognized as the biggest and the best lecture series in the entire nation. 20

21 INDUSTRIAL CONCLAVE Industrial Conclave, has been, and forges ahead as an ideal interface between the industry and the students to inspire, motivate and train them for the battle for success in life. In this 3 day long, high profile event, eminent personalities from various spheres share their invaluable experiences which helps the young minds understand the internal dynamics of the ever growing industry.the past editions saw the likes of Mr. Marten Pieters (MD and CEO, Vodafone India), Ms. Vinita Bali (Former CEO and MD, Britannia Industries Ltd), Mr. Arun Iyer (National Creative Director, Lowe Lintas India) among others, the Conclave has ceaselessly grown bigger and better, every year. So, ladies and gentlemen, register now, and witness all the action, here at the Industrial Conclave MODEL UNITED NATIONS Born with the aim to bring out the best in every individual, the concept of IITG MUN is guided by a set of values and goals that seeks to provide every individual "hands down" idea of the intricacies of the decision making process at international level, in an effort to provide holistic development of society as a unit. ROBOTICS The Robotics module of Techniche 2016 provides you a platform to bring forth new ideas and produce novel technologies in the quest to build the perfect machine. So, put your thinking caps on and let the creative juices ow. From autonomous to manual robotics, there is going to be something for everybody. TECH EXPO Techniche s latest undertaking, the TechExpo has been initiated with the cardinal aim of bringing to light the technological advancements made by the youth of this country and provide an opportunity to showcase their innovations on a larger platform.it provides for a platform for the participants to showcase the projects undertaken by them in front of a mass multitude of people which includes but isn t restricted to Professors from various fields, notable personage including Nobel Laureates and Students from the nation. And much more... For sponsorship, contact: For further details, contact: Tanuj Agarwal Vikram Aditya Marketing and Corporate Relations Convener tanuj@techniche.org vikram@techniche.org us at : info@techniche.org technothlon.techniche.org fb.com/techniche.iitguwahati plus.google.com/+techniche technicheblog.wordpress.com/ 21

22 Rough Page (Do all the rough work here) 22

23 Rough Page (Do all the rough work here) 23

24 Toppr.com is India's #1 Online Learning Platform for over 1 Million students registered already. LEARN : Exclusive video lecturers, concept notes, curated contended. PRACTICE : Adaptive goal wise assessments, unlimited questions. ASK DOUBTS : Get response from subject expert anytime. TEST SERIES : Largest online test to compete wth thousands.