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Britt Lauritzen
5 år siden
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1 ç 1 ç 2 ç 3 rhu Øeokj le la[;kaph ljkljh ¼3 6½ vkgs- R;k la[;k p<r;k Øekus ykoy;kl e/kkse/k ;s.kkú;k la[;sp;k vk/khph yxrph fo"ke la[;k o eksb;k la[;sp;k uarjph yxrph le la[;k dks.krh\ [1] 16] 19 [2] 17] 21 [3] 17] 22 [4] 16] 21 [kkyhyisdh dks.kr;k la[;syk 5 us Hkkxys vlrk rhu vadh eksb;kr eksbh la[;k fegsy\ [1] 4705 [2] 4895 [3] 4995 [4] ;k la[;se/;s] mtohdmhy 2 ph LFkkfud fdaer] MkohdMhy 2 P;k LFkkfud fderhp;k fdrh iv vkgs\ [1] 100 [2] 1@100 [3] 1000 [4] 1@1000 ç 4 csjht djk % 21.7, 13.21, , 3.815, 9.813, 0.814, 0.316, [1] [2] [3] [4] ç 5 ç 6 [kkyhyisdh dks.krh la[;k ^iw.kkzad la[;k* vkgs\ ¼1997½ 2/4, -5/-9, 7/-3, -6/2 [1] 2/4 [2] -6/2 [3] 7/-3 [4] -5/-9 [kkyhyisdh lokzr eksbk viw.kkzad dks.krk\ [1] 14@17 [2] 8@9 [3] 9@10 [4] 15@16 ç =? [1] 10 [2] [3] [4] ç 8 fnysy;k vkd`rhr] l(ad) = 15 lseh, l(bd) = 9 lseh, l(ac) = 8 lseh l(bc) rj 'kks/kk- (2004) ç 9 [1] 6 lseh [2] 2 lseh [3] 7 lseh [4] 5 lseh 17 fdeh = fdrh feyhehvj\

2 ç 10 ç 11 ç 12 [1] [2] [3] [4] ,dk Vksiyhr dkgh Qqys vkgsr- 12 eqykauk çr;sdh lkj[kh Qqys okvyh( rj 8 Qqys mjrkrrso<hp Qqys 14 eqykauk lkj[kh okvyh] rj 10 Qqys mjrkr( rj R;k Vksiyhr vl.kk&;k Qqykaph dehr deh la[;k fdrh\ (1993) [1] 30 [2] 28 [3] 80 [4] 84 tj M = 64, N = 144, rj =? (2004) [1] 16 [2] 4 [3] 9 [4] 6 (2002) [1] 1 [2] -1 [3] 343/8 [4] -343/8 ç 13 tj (2/5) a = (3/4) b, rj a ps b 'kh vlysys xq.kksrrj dk<k. (2002) [1] 6:20 [2] 20:6 [3] 8:15 [4] 15:8 ç 14 lkj.khrhy x o y P;k fdaerho:u R;kP;krhy pyukpk çdkj vksg[kk\ fjdke;k tkxh dks.krh la[;k ;sbzy\(2000) ç 15 ç 16 [1]lepyu, 36 [2]O;Lrpyu 1 [3]lepyu, 64 [4] O;Lrpyu 48,dk oxkzrhy 40 fon;kf;kzaps ljkljh otu 35.5 fdxzw vkgs] oxzf'k{kdklg R;kaps lokzaps ljkljh otu 36 fdxzw Hkjys] rj oxzf'k{kdkps otu fdrh\ [1] 55 [2] 55.5 [3] 56 [4] 54 (2002) [1] 2 ps 2% [2] 50 ps 8% [3] 25 ps 50% [4]50 ps 25%

3 ç 17 ç 18 ç 19 ç 20 ç 21 ljgo;ktkp;k nlkn'ks 8 njkus fdrh efgu;kae/;s eqn~nykp;k nqiiv jdde tek gksbzy\ [1] 120 efgus [2] 150 efgus [3] 100 efgus [4] 84 efgus 'ks- 12 lwv fegky;keqgs,d olrw 1056 :i;kar fegkyh] rj R;k olrwph lwv ewg fderhp;k fdrh iv gksbzy\ (1992) [1] 0.12 [2] [3] 1.2 [4] 12 çr;sd isuph Nkihy fdaer 5 :- Bsowu fx&gkbzdkl 10% lwv fnyh- rjh ;k O;ogkjkr 12.5%. ;kçek.ks,dw.k 2880 :- uqk >kyk- rj R;kus fdrh xzksl isu fodys\ [1] 10xzksl [2] 20 xzksl [3] 15xzksl [4] 40 xzksl 18 dkexkjkauh jkst 8 rkl dsys rj,d dke 21 fnolkr lairs] tj 6 dkexkj ok<foys o R;kauh jkst 7 rkl dke dsys] rj rsp dke fdrh fnolkr laisy\ (1990) [1] 72 [2] 18 [3] 24 [4] 36 tj x = 2 vkf.k y = -3, rj [kkyhy jk'khph fdaer fdrh\ [1] 3 [2] 4/5 [3] 41/22 [4] -2 ç =? (1990) [1] [2] [3] [4] ç 23 ç 24,rj 3x - 2y =? (1996) [1] 1 [2] 2 [3] 3 [4] 4 [kkyhy vkys[kkps fujh{k.k d:u R;k[kkyhy ç'ukaph mrrjs fygk vkys[kke/;s,dk O;kikÚ;kph,d vkbom;kph foøh fnysyh vkgs-. (1992)

$eaxgokj rs 'kfuokj v[ksjph ljkljh foøh fdrh\ ç 25 ç 26 ç 27 [1] 60 [2] 80 [3] 65 [4] 50 fnysy;k vkd`rhps fujh{k.$

4 eaxgokj rs 'kfuokj v[ksjph ljkljh foøh fdrh\ ç 25 ç 26 ç 27 [1] 60 [2] 80 [3] 65 [4] 50 fnysy;k vkd`rhps fujh{k.k d:u R;kojhy fcanwuqlkj [kkyhyisdh,dk xvkrhy tksmh nksu fhkuu vkd`r;k n'kzfors] rj rks xv dks.krk\ (1997). [1] fdj.k PS & fdj.k PQ [2]js"kk QR & fdj.k PS [3] fdj.k PS &fdj.k QR [4]js"kk PQ & fdj.k PR,dk dksukpk iwjddksukps eki R;kP;k dksfvdksukp;k ekikp;k 9/4 iv vkgs] rj R;k iwjddksukps eki fdrh\ (2004) [1] [2] [3] [4] tsogk nksu js"kkauk,d Nsfndk Nsnrs] rsogk laxr dksukap;k &&&&tksm;k r;kj gksrkr- [1] 1 [2] 4 [3] 2 [4] 6

5 ç 28 ç 29 ç 30 ç 31 ç 32 lkscrp;k vkd`rhckcr lr; fo/kku dks.krs\ (2000) [1] 6 ckg;dksu, 12 js"kh; tksmhrhy [2] 9 ckg;dksu, 12 js"kh; tksmhrhy dksukap;k tksm;k, 6 fo:n~/k dksukap;k tksm;k dksukap;k tksm;k,3 fo:n~/k dksukap;k tksm;k [3] 6 ckg;dksu, 3 js"kh; tksmhrhy [4] 6 ckg;dksu,12 js"kh; tksmhrhy dksukap;k tksm;k,12 fo:n~/k dksukap;k dksukap;k tksm;k,12 fo:n~/k dksukap;k tksm;k tksm;k.,dk f=dks.kkps ifjdsanz f=dks.kkp;k f'kjksfcanwoj vkgs] rj R;k f=dks.k lanhkkzr dk; lkaxrk ;sbzyk\ [1]leHkqt f=dks.k [2] dkvdksu f=dks.k [3] len~fohkqt f=dks.k [4] fo"kehkqt f=dks.k vk;rkp;k d.kkzph ykach 61 lseh o,dk cktwph ykach 60 lseh vly;kl R;k vk;rkph ifjferh fdrh\ (1986) [1] 132 lseh [2] 142 lseh [3] 241 lseh [4] 121 lseh,dk pksjlkps nksu Hkkx dsys vlrk [kkyhyisdh dks.kr;k çdkjp;k vkd`r;k fegrhy\ (1990) [1] nksu lehkqt f=dks.k [2] nksu vk;r [3],d vlk pksjl dh T;kps {ks=qg [4]loZ i;kz; cjkscj mjysy;k HkkxkP;k 1/3 vkgs- &&&&ps laeq[k dksu,d:i vlrkr- [1]irax [2] leyac pksdksu [3] len~fohkqt leyac pksdksu [4] lekarjhkqt pksdksu

$k l(od) = 3 lseh vlsy rj l(ab) = fdrh\ [1] 6 lseh [2] 8 lseh [3] 10 lseh [4] 4 lseh ç 35 vkd`rhr v/kzorqzgkd`rh ckx vkgs- O gk orqzge/;s vkgs- âf"kds'k A iklwu B i;zar js[k AB o:u ;s.$

6 ç 33 ç 34 lkscrp;k vkd`rhr] js[k AC gk O;kl vkgs- js[k OD js[k BC - tj orqzgkpk O;kl 10 lseh vkf.k l(od) = 3 lseh vlsy rj l(ab) = fdrh\ [1] 6 lseh [2] 8 lseh [3] 10 lseh [4] 4 lseh ç 35 vkd`rhr v/kzorqzgkd`rh ckx vkgs- O gk orqzge/;s vkgs- âf"kds'k A iklwu B i;zar js[k AB o:u ;s.;k,soth orqzgkdkj ekxkzus vkyk- rsogk R;kyk js[k AB ojhy varjkis{kk 60 ehvj varj tklr pkykos ykxys] rj R;k ckxsp;k js[k AB ph ykach fdrh\(1991) [1] 52.2 eh [2] 14 eh [3] 105 eh [4] 28 eh lkscrp;k vkd`rhe/khy js[kkafdr Hkkxkps,dw.k {ks=qg fdrh\ ¼js[kkadhr Hkkxkph :anh 2 eh vkgs-½ (1991) [1] 92 pks-eh [2] 96 pks-eh [3] 60pkS-eh [4] 98 pks-eh

7 ç 36 ç 37 ç 38 ç 39 ç 40 ç 41 ç 42 ç 43 ç 44 ç 45 [kkyhyisdh jkekuqt ;kapk f'k"; dks.k\ [1] lar dchj [2] xq# ukud [3] lar fejkckbz [4] iqjanjnkl us futke'kkghpk 'ksov dsyk- [1] vdcjk [2] vksjaxtsck [3] 'kgktgku [4] uqjtgkwa eq?ky dky[kamke/;s vkxzk] ikv.kk] [kack;r vkf.k isb.k ;k fbdk.kh dks.krh xks"v leku gksrh\ [1] lksus [2] fofo/k çdkjps /kkrwdke [3] js'khe [4] tgkt&cka/k.kh [kkyhyisdh dks.krs fbdk.k lq#okrhp;k dkgkrhy LojkT;kph jkt/kkuh gksrs\ [1] iq.ks [2] jk;xm [3] jktxm [4] rksj.kk f'kokth egkjktkauh useysy;k ea=heamgkr ea=h gksrs- [1] 7 [2] 8 [3] 10 [4] 15 LojkT;kpk jkt;dkjhkkj fohkkxkae/;s fohkkxysyk gksrk- [1] 12 [2] 10 [3] 8 [4] ;k o"khz ek/kojko is'kos ;kapk e`r;w >kyk- [1] 1772 [2] 1778 [3] 1768 [4] 1757 panzxzg.kkpk tklrhr tklr dkyko/kh vlrks- [1] 2 rkl 7 fefuvs [2] 58 fefuvs [3] 1 rkl 47 fefuvs [4] 1 rkl 10 fefuvs eqgs lkxjh ykvkaph fufezrh gksrs- [1] i`fohp;k ifjoyukeqgs [2] okú;kaeqgs [3] lw;kzp;k xq#rokd"kz.kkeqgs [4] panzkp;k xq#rokd"kz.kkeqgs Hkkjrke/;s lokzf/kd yksd çdkjp;k O;kolk;kr xqarysys vkgsr- [1] f}rh; [2] r`rh; [3] çkfkfed [4] prqfkz ç 46 bftire/;s okmhl Eg.kts [1] m".k o dksjms okjs [2] /kqghph okngs [3] dksjms çokg [4] olr;k ç 47 Vka>kfu;ke/;s fdrh vkarjjkf"vª; foekurg vkgsr\

8 ç 48 ç 49 ç 50 [1] 2 [2] 3 [3] 6 [4] 1 ^jkocgknwj* inoh dks.kkyk fnyh tkrs\ [1] yksdlhkk lnl; [2] m kstd [3] lekt lsod [4] ;kisdh ukgh vkrki;zar iapokf"kzd ;kstuk jkcfoy;k vkgsr- [1] 12 [2] 6 [3] 11 [4] 14 lokszpp U;k;ky;kr fdrh U;k;k/kh'k vlrkr\ [1] 11 [2] 20 [3] 25 [4] 31

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