qrqFq rrqq 6q qni t f+, ffi lqqr d ftrqi + fuq Es ei+1 6r trftr l+q1 qp61 g. t eio, t, o, 1, 2, 3, 4, 5,6,7,8,9. ffi tiqr +l ffi h fus 6c qm fr{ t erd olh s.cv; Eq.r$, (6r$, +69r, Ecrrt, E{_EcrR, rtf{r, <TI-FrRt, m+9, qT-6-G orft xc4n frfr 6. Eqrilsr r. ++ A rr$ drftrq,r { A G r+6 {@r q} yrqT { frfuq: aa: frG{'qrit: (a derq+frq5wRsr; Saqr$ 1i4 eraaru<rtreWntrA*. (;;;) fv +ils rn ere ena t-qn +E ti q*'. (,?) q-!ftq s'ts rd ero fre E-qR ena s} lrfrq E<r6{ur 2. ftqfuka {qrstr d r}id { ft{frcS, 14 il *-te ar aru fr EqR sTrd. t;n tf6 o-tre ena ers * reR fr-c S Rtd. (,,,) fr{ersfr{EqR+frq. (;v) tfu o.ts qra ers +s EqR t*s. 56: *util +1 mfe-+i e-{mr {gti}ii +1 ffi qr, { G {qr { td.S ** m wrr*q qr{ (ptace Va ru e) irerr qrfrq qrr Gace Vat ue) I. ffi sio ql qrfi-q qR sq 3i6 srr ercil cH t qrt * .96 ffi cfr rqn c{ fr. 2 qqf{€ s]-drIFK E(f6{r,T : {qt sslzs t s E,r qrfrq cr{ f t ; 7 tr, qrftq qrq z t ; s qr qrftq qn s tsnE il. frfr irt6 6T Tgrrfrqcr{: ffi {'d tiq t, f+r{ nim+rerfi-q"=:15+t$ aiq) x 1; <6T$ 3i6, 6-r Frr+q cH : (ftr$ eis) x la; ffi h ei+ m errfrq cH : (ffi q elq) x 1oo; fqR * iis m rsn+q cr{: (fsR s'r eiq.) x 1000 sTrR-sTriq. r(r{{rrr 3. {qr zolsssz fr fd&q; (D 6?s,rqraiqcFr (r, gt5',r!ilrfrqcFl (,ir, sifi,Tglrfrqqrt (rr) 4tsTrclr+qqF (v) 2*rerrfrawt EA: qqtm, 14 e +r vrfr+ wl : o (,,) 9 6',1 qrfrq cH = 9 (rr,) 5t5rlrlrftqcE=(5 x 100):500 (;v) 46I€{rfr{crl=(4 x 10000):40000 (v) 2 6l rrlrfta Hn = (2 x 1):2. qqlit{ri (Even Numbers) iTelrtdqcIffi (Odd Numbers): (O d qr*a {qni z t $aur f<rr* d srA 3-A vl {@rd *-dt t. *i: 2,4,6, 8, 10, 12, 14 eTrR. v&+ qq-(qr an wr{ nim o, 2, 4, 6, 8 fr t qti +fl t. (,0 fr erf-d {qrq z t Wi6q1 6qffi q ?r t-€ t{qc {qr} s-6i t. *t; 1,3, 5,7,s,11, tg, tse{IR. e-&fi fEqq rt@r 4I E+-r$ ni-fi t, 3, 5,'1, 9 t t q,t$ Eldr t. g${q {@ri tPrime Numbers): ts {qr d aiq-d erqi t nqr r t gf6q1 gq* dfr d nqr eqYr ffi ffit vrSn {Iqr t ft.r*l rd, em{rq{8fl6-6flfrt. T<rfiurd: trqkffra fr t r*a qfi eiqrq {@r t: 2, t, 5,',l , lt, 13, 17, 19,23,29,31,37 , 4l, 43,47 , 53, 59, 61, 67 ,71,73,79,83' 89, 97. em{fq(@r?5,rqra: qnr p (+ { ,r$ crf-d {er t aqr r \rs dE t di'A tS tt'sr t t*' n2 >p. q-q + G risr si n aqr vs$ dfi v*+ els{Fq {qr t qFI q,-G- ts d. qR w f+i t qq tisr t m Wkqr fr.r< d qrt d erqrq q-fr ttll, 3q-qqr qqrq ffi. Bqr6rrT 4: stq qarfds ffi FrqFdfird { t *{-qt{ fr slqrq {@rS t: (il 173 (iD 341 (iii) 437 (iu) 81r ra: (D Eq q1t t t+ 1t+12 > tzl. l4 t dA qr6q {6qH- {; 2, 1, 5, 7, I I neil 13. se t t+ 173 t{i- t tsfr fi {qr t {otdql frq-m tfi d-fi eltl: lT395erqWd'urt. (,,) EcqrTi t t+'(ts)2 > 341. 19 t frA qqrq rieqrd t: 2, 3, s, 7 , tr, t3, r7 se fr t+ 341 E{i t 1l t Tf-f,cr tq.r< d-fr t st-rr: 341 qq. orurw {wr rd t. (,,0 Eq qr{t t ts' QD2 > $7. 2r t +S errrrq +ireqr{j t: 2. 3. 5, 7, 11. 13, 17, 19. {qtd c{dffi 3 gfi Q a37 sq6q1 19 t tclrft tff t. ord: 437{ourrq{qrTfit (rv) 6q qni t f*' 1zl;z > rr r. 29 t +A oqrq {eqr{ t: 2, j, s, 7, n, 13, 17, t9, zt. qm tt t am frn tu 81 1 Ed t ffi g dqr t frrrn rd Etfr srd:8llqfie[qrq{qrt. fufta*guft<r: I. 2 + frqfa trT f{qq; *i$ fl ,rg r+qr z t t+rft ilfi E}ft vqt$ {sqr Eq,r$ sifi. 0, 2, 4, 6, 8 r+$d. Tqltr{qr: (, s2790 sqircrz t frq*&fr, edm6{s6rFfir{ iffi 0t (r) 64596 qqim z * ierrqil Etfr, qdiF+ Es+r f+r{ rfm o t II. 3 + frqk ql frerr: +t$ { rr$ rtsr I t frr6 61 .r'On vqfu Es {qr * st6T $r +r : t fclrftd. E<rf,rur! (, {sr 674502 + dd il q}rr z+ t til : t $rqr fr'rfi dffi t. era, q6 iqr 3 t Iot'dcrfqrrfi Ehft. 1ii1 {'w em:o t. sidi 6r +q :z t d r t Uut-oa tqll-qf, Td €tfr. sflir: ?16 tsT 3 tfotaqAwrAa+. III. 9 t frqFff qr ftqq: ot$ { rr$ {qr s i f+rft rfr E}fr qetu {s {sr * rf+T qr dq s t fqirfid. vqrf,{ur: 14 {'er eso+zr * d+lm trr zzt, S et T1-6qrfflm tfr t. qe: {rr{{sr rtryf6q194*51. (i, {*, 764589 * i{+T m +r 39 t si s t lPiilo, f+rft rd Etfi. qir: T6 ri@il etEl6q161*TfiE)'fr. rv. I t frqk m frqq: qti { Tg riqt + t fer6 611 .a}r1 Eqfu Es.S qtr€ sft{ f+r,$ et+T t qftdematfrrcad. s<rwur: (, dsr 67e5 1 2 t' <rT { inn qmr{ sffii * Tfr {qr r z t sil a t tqsrff tifr t. qo: {rrgtqetnrrrd,t (,, dgt ss so r + * <6r{ dqr E6r{ st+1' t q-fr {sr I 4 t, d 4 t ffl-ft Tfi €tfi. orfi: z16 Ti@[ + t fq1r* rfi *fr. v. t t Errfra str ftqc: 6ti {.ri {qr e t frrr* ilfr E}fr q-qtn Fsh ffi., qa{ g+{ F{r{ d+1tT4{qr 8tfstrffdt, fnrftAfrt. qrr zrt riqr 8 t EEtfrqr fflr4a drfr t. (,, tet *4et62+SG, rcr{ dR5nr$ si+trfr{.er roztil stgtrqr frrrm rd *fi. srfi: zli! rierT s t frrq-ff i€T +fr. vt. s t f+tk qr ftqq: +t$ fl ,r{ r{qr s t fflrfi dm drft veFs Eq6r {6ri i{o o qqqr s d. E(tf,r8rt: 67985 irqr Urtr0q q s*+ s t fsi'cqr tqr< arn t. 4 q<F€ 3i6,llfu( vtr l l t frr{Fft an t+qq: oti A r{ {qr r r t nrfr frrm dnl q-qfo' {+,d t sr6'*t qet qt {q-Er'it + i}is} + tq dqt tqqt rqr'if + si+] * q}'r +.t q<t o d s{q"il I I t tesrffi d' EEr6{rT: (, d@I 1361052d: (srcIFif + iridi ql qlr) - (fqqq rPlr'ii h eidlql qlr) : (5 + I + 3)-(2+ 0 + 6 + 1) = 0' erc, fl .r{ {sr r t t Wtaq frqm Ettft. (,, {sr toso4tgsd, (qc rcTFil *. iHqii +r t t) - (fdqq Fn'ii + eidi ql.ah) : (s + 4+ 8 + t)-(s + 1 + 6 + 0) = 10,i tt t frqmr€f *fi. erc: {rr{dqr 1l ttqrrffTfrEtfi. E-t-Errnq {qr{ (Co-Primes): <} xrgd {@r{ a ilcll D (fr q6-errnq q''rertfi, qqt* ts-++t q5sq-qqq-ad-+ t dt. $t: (2, 3), (3,4), (5,e),(2r,65) eTrR. qdr ffiqf{qc, qR et{ riqr vrya dqreil- a iTer b +if i $-*+t f+sr< delr 4 F(, v6- qqrq €i, fr qe dqr aa t lfl Tf-6qr 6rm rtfr. TEr6{ur s : 6t$ {@r qFq + aqr o { t rdq, t t{crff d qrn d at rt qrEw4 t t* re {qI 24 t rfr furn Et f{tfir dfqS. 6€r: rfi, s<mqtg lod. se t t+ qe r{sr o u* u g q e-&+ t fr ,rm *fr t, w< z+ t fr.rft Td e}fr a6 Q, 4 u* u *-er{rq {qr{ Td t. ffieqr: sq{qradH sqr6€r: le ftl s t qrq ti c{: e{rq = 38, qrqfi = 5, qFFn€: 7, ts$-(,I = 3 38=(5x7+3). qFTEqTIItEBqftqTq: (, (l - 41Et-q ft - a) t .ftaqr fqqm ct'n, z h nql cril*' fds- (,, (x'r - a") il{fi , t qq qrif *. feq @ + a) t far+fiT d{I. (iii) (xn +4*-+on +tdqccdi+fuq, 1r+altf<r*iln. iF6ffiq(d' (i) (a+D2:A+b2+zob (ii) (a-q2:A+b2-2db (ii) (a+ b)2 +(a-b)2:2(d +b\ (iv\ (a+ b)2 -(a-b1z= 4o6 (r) (a2 - b2): 1a + b) (a - b) (vi) (a+b+cf:1d+ b2 +c21+2(ab + bc + ca) (vii) (a+ b)3 : a1 + b3 +3ab(a+ b) (viii) (a-D3 = d -b3 -3ab(a-b) (rx) (a3 + b31:1a+ b)(a2 + b2 - ab) (r) (r3 - b3)=(a-b)7a2 + b2 + ab1 (ri) (a3 + b3.+ c3 - Sabc): (a + b + c) (a2 + S2 + c2 - ab- bc -ca) (xii) (a + b + c7=0 + (d + b3 + c31= 3o6". g;E aiftrdm*r(qram): (i) (l + 2+3+4*....+z)= !n@+l)- (ir) (12 + 22 + 32 + .... r n2\ = !rtrn+l\(2n+l\. dqteli c{{ffii 5 (,,,) (lr + 23 + 33 +.... * F\: In2 V*t)2 TqrmFffi{urt{qq: (i) a(b + c)= ab + ac (ii) a(b-c)=ab-ac tfqq frfu t Wr q,,r{r ( Soqrftrd Eqr6{ur ) rqTfltr 6, Fraftlua rgrrua 6*t&q: (i) 7968 x 99 (if) 6S7t x 999 (iii) B24g x ggggg f,n: (i) 7968 x 99 : 7968 x (100 - 1) : i968 x 100 _ 7968 x 1 = 796800 .1968 - ,188832. (ii) 6571 x 999 = 6571 x (1000 1) : 6571 x 1000 - 657t x I = 6571000 _ 657 t : 6564429. (iii) 8249 x 99999 = 8249 x (100000 - l) = 8249 x 100000 8249 x l = 824900000 - 8249 :824891751. f*,lfrAG{wtat s"t1q1q61 796800 -7968 788832 6571000 - 6571 6564429 824900000 - 8249 8248917s1 6cfnst*,r,= [T)"-# Eqr({',T7. ErTqifqq: (, 9584 x 125 = ? E€Tr (r) 9584 x 125 - 9584 x 53 (ii) 5369 x 625 = ? l0 2 23 t= ) 84 95 69 53 03 :9585 x = 5369 x (a: f+fiqfrqqERr; (i) 578 x 63 + 578 \ 17 (ii) 694 x 489 - 694 x 389 - 9584ooo : u98ooo 8 (rD 5369 x 625 - 5369 x54 t ro) l_t l't) 24 = 578 x (63 +37) = 578 x 100 = 57800 = 694x(489_389) = 694x 100:69400 56 48 89 80 4 4 90 80 t00 96 X 0 - 536egooo =:r,55625 16 Tqr6{ur 8. rrcralfsq: (r) 578 x 63 + 578 x 37:? 40 32 80 80 (ii) 694 x 489 - 694 x 389 = ? 6 qqBEd siilrFR sqr6{ure. E{Tral&q: (, 1203 x 1208 : ? (A $94 x 1594: ? EfT: (i) 1208 x 1208 : (1208)2 = (1200 + 8)2 =(1200)2+82+2x1200x8 = 1440000 + 64 + 19200 - 1459264. (ii) t5g4 x l5s4 : (ts9q2= (1600- 6)2 = (1600)2 + 62 -2,1600 x 6 = 2560000 + 36 - 19200 :2540816. 3q6pr10. mI;Itfrl&(: 1440000 +64 + 19200 145926/ 256m36 - 19200 2540836 (r) (ri) (urt ErI: (,) (,,) (iii) 684 x 684 - 116 x 116: ? 68 x 6E+32 x 32 + 2 x ($ x l! = ! 95 x 95 + 15 x 75 -2 x 95 x 75 : ? R4rrqraiqs : (68q2 -(116)2 - (684 + 116) (684 - llo (l - t2) = 1a + b) (a - b)l = (800 x 568) :454400. Rqtrrqraisfi : (68)2 + (32)2 +2 x 68 x 32 : (68 + 32\2 l(& + F + Zab): (a + b)zl : (100)2 = 10000. &qr rrqr aiqfi = (95)2 + (75)r 2 x 95 x 75 : (g5-7r2 l'.' (& +tz -2ab)=(o-b)21 : Qqz = 400. 694 x694-694x 306+306 x 306 - .c---:- (rt:_b') -,qtta=694dql6=306 EA: I+[rr{[qsfi : 1; _ot+t,) : (a + b) : (694 + 306) : 1000. Edrf{ur 11. Eatfrlfcqt 694x 694x 694 +306x 306x 306 sql-6{ur 12. Efrift1&(: 547 x 547 x 547 - 231 x 237 x 237 541 x547 +547 x231+237 x237 G4T3 -Q37)3 !H. Gqrriqtaisfr = : (a - b) = (s47 - 237) = 310 (547)2 + (5 47 x 237) + (237 )2 -C-L-, qeio= 547irqt b=237 (a'+ab+b") {qtsr} qt tffi 7 Tqrtr{sr 13. f,FrihtH\: (76s+576t2 -,Q6g-, 576)2 (769x576\ Eet: fcqrrqaiqo = @#!,1atl o = 769, b = s76 4ab = - =0. [... (a+ D2 _@_bf =4abl lr(I6{ur 14. (7U x S49 x 603 x S46)*.Tur*m{gAr$atoanUtrn? f,Fl: 5+r{ ei+T 61 gupav-a -- (4 x 9 x 3 x f) = 648. .'. oilfi€ qfo= s. TErE{ur 1s. (631D7s. { rqilt eia wr EtrIIa @: q$ests' = Tzsr{55(q,5 : {(74)rrE * 721 dq+r{ eio = (l x 49){ E6r{ d6 = 9. (6317)754 EI Es,r$ dT, : s. Bi(rf,rtrr15. (357 x 6{1 ,13)mlqrf efq.Rrtqr? f,Fl: 357 = [(34)14 , 3] = (8l)la x l. 3sz 6156r{ dm = (t x 3) = 3. 6+rfi{+dqtq,=f 763=117+1tsx7t1. .'. 70r61ffi dc'=(l x 7 x 7 x7)6rE6r{d6=3. smfrE si*, = (3 x 6 x 3) +,r Filr{ oiq, = 4. s(tf,{st 17. 12401*tfr*tqrt qrrrticrqFrwT6i{rVlq 13 qstt irqarFnt? BE: r{rq6 - <glrs4-r}q5€) - (l24ol-13) zoFzlts (ror - etFrs.f, 76 76 12388 = 76 :163 3i-d: qFrff= 163. X Tqrf,(ur 1 8. s000 { t *A t *A dh fr *sr * or1 6; qhrE il te t Wtncl fuIm t qri? f,€: 5000 irl re t qrq ti c{ iss-fl = r. l9lJ000 (263 .'. qsri qri srd snfr'E {qr = 3. ' 38 120 l14 60 57 478 456 228 228 3 8 q<f{B si6.IrF,rd En: 2304 4i 21 t f{lrfi 4-ti c{ tss-d = 15. .'. 31fr8{lqr =2304+ (21- 15):2310 :{qrflur 1 e. 2 3 04 + {ftqdc *{-m {qr t * z t t ryf rnr F*um di zrfzu\rce 2t 204 189 15 sair6{uT 20. ffi {rqr E} s+z t "{r.r t+ q{ a7 p1t aat t. vfr {@r d rt t qrl t+ qr *qqaattm? (rr: rHT Ts riEIT *l :+z t .{r,l ti w qFIwf, = r ffiI tqE6-d : +Z a-q,qt{sr : 142K+4'l =(t8x l9K;+(18x2)+11 18 x (191<+ 2) + 11. erd: s{T{srifi tat qrqtiqttss-6 = tt. E;offietrfiRql slfrrqi((d)' (,) (l + 2+3 '.... t nl= ln(n+11' I (iD (12 - 22+32+.... - n2l: -n\n+l)(2n+l). (,ii) (13.'23+3l ,-.... t,r3) : !n2\ntl)2. (iv) {rlf<fi *6 a, a'r d, a + 2d, a+ 3cl, ...1 gqrl qE = a,€dol<R = d qH1 2{qq = 7.6q r. rdqs =a+(n-l)d. n tt. n qdi m t]q = 1l2a + (n't)d). III. rv<Jqrqtq - f ta+l1,q6it 3Tldq n dTqt. tvt Tuirm *fra.arri,rs -'.1 ye1r1 rl-E:4 ffd ergqrd:.. l. ndq<= afl-l Il. n rrd m qtq : TEr6ar 2 1. 1 1 + 90 * frq 7 t {utilqr fclrffi fri srd crs,d {@A ffi t ? Em: q {qdi t 14,2t,28,35, ..., 84. q6 g* {Iil<il Ad t nq+ a : 14, d = (2t - r4)= 7 aeil / = 84. qnrf{E{rq-r{. t,it, nd.tl = a+(n l)d:14+(n'!)xl=(7n+7). .. 7n+7:84= 7n=7'/ = n= ll. er-fr:t{@rEttt. {qqlc{r{ffi o EErtrur 22. r oo r.5. q1 qS f{ccry d@13fr i5r*It am qrqq. f,€I: e{fie?t{= 1 + 3 + 5 +'7 + ... + gg. T6 gf qril<R *qt t ffi+ri " = 1, d = (3 - t) = 2, I = gg. cHr $d gm r< n t. ro t,=99 = a+(n l)d=99 => l+(n 7)"2:99=2n-2:98 + 2n:1O0 = z:50 n50 Sn- i* @+tl = Z " 0 + 99) - (25 x 100) = 2500. rr(r6tul 2 3. t sia'r at : t tflim frt ard rrfr vrga {rqreii m +'r 6 *1frq. 5a; fr oieil +1 : t frsr* rli ar$ urga derotr ol qh t 12 .15 t l8 ..... I 99. T6 gs.qql<R ffi t fqsq a - 12, d =(15 - l2) = 3 dqr /= 99. qra Se IIdl 41 {qr : n. n-s, 12 qi TE: 99. .'. a+(n-l)d:99= 12+ (n-1)x3:99 = (n - 1) x 3 = 37 + (n - 1) :29 = n - 30. .'. 3{+e +q - 1 ,, 10 , (atl\=- x(12+99) : 15 x lll = 1665. g(16{111 24. wrdr +.e 2, 4,8, 16,..., 1024 { Eia P{3+ v( t ? .4 f,€t: {6ta:2, r:1:2. cr{I gffi trdl B1 {qr : n. eq, n qi q( : 1024. .. ax lt t-fi24-+2x2n 7 - 1024+Zn:210 =n= 19. erdr gf, Td[ +1 riqi : to. ^2 wr: <1,r{ Mwc'ril{ MBfrsc- a-2. r- +=;=2, n:8. orgfrE*rr a(rn -t) 2x(28 -t) (2x2s5):510 (, 1) (2-l) uFrrTrdr I Frqfrka urn { t r+€ + *n "* qi tuqifiq-a ({) Eltuq: 1. {qr 896743 t siE 6 + €n+q crc aen qrfrq cH mr er<* f*d-fl t ? (a) 743 (b) 6743 (c) see4 (4 Ffrt+tir-d 2. rtqr 9l375tl761spfrqq-aq1 ftr (")'t (b) 7s1 (c) 7a4 (A 7o0 3. {qr 72g451ti g+Arsrr+qffi61 s6qfu6a}: (a) 0 (r) 84s00 (c) 79920 (d) F{it6t€Td a. {qtq-o (694 x 538 x 7S7 x 523) t Es'r$ eio qr t Z (a) 2 (b) 3 (,) 4 (d) s t. Ttos d g+( ni-+ wr t Z ( qsoq€o*o qfrqn, 2005 ) (r) s (b) 1 (c) e (d) 1 6. (365 x 65e x 77r)dyfir{ domt? (a)l (b)2 @)a 1. 0e5 - 35t) fr E6ri ei-+ ;pr t ? (a) 0 (b) 4 (c) 6 8. (4137)7s4 6r fqri ifm m t Z (a) I (D) 3 (c) 7 g. (6374)t7e3 )< (625)317 x (341)4el at Wr$ ifm HI t ? (a) 0 (b) 2 (c) 3 10.7589-?:3434 (a) 424s (r) 4ls5 (c) lt23 ll. 9548 +7314=8362+? (a) 8230 (D) 8410 (c) 8500 12. 8597 -? :7429 -4358 (a) s426 (b) 5s26 (c) 5706 13. 49t 109 - 62835 = 5014 + ? (a) 423250 (b) 424250 (c) 423260 14. 11992 - 7823 - 456 =''! (a\ 37at (b) 3713 (c) 3813 15. 3251 + 5E7+ 369-? = 3007 (a) 1250 (r) 1300 (c) 1375 16. (?) - 19657 - T99a = 9999 (a) 636s0 (b) 53760 (c) 59640 r7. (?) + 3699 + 1985 - 2047 = 311ll (a) 34748 (b) 27474 (c) 30154 r8. (4300731) - (?) = 25356ts (a) 1865113 (b) 1775123 (c) l76sll3 19. -84 x29+365='l (a) 2416 (b) 2801 (c) - 2801 20. (800 + 64) x (1296 - 36) = ? (a) 420 (b) 460 (c) 500 21.4500x?=3375 231 (")s (b)i @i 22. (35421 +7164+41720)-(317 x 89)=? (a) 28213 (r) 84307 (c) s0694 B- s1*tL-sl =r 417 15 'n9 817 719 (o) 7 ton (6) 9lo2o (") 9rolo 24. (1000)e + lO24 ='l (a) 100000 (D) 1000 (c) l0 qqF{E 3is?Ifi'ld (frrlrfrcrtflrccftqfi, 2oo3 ) (d) 6 (47 (d) e (45 ( {q tosfro qftqn, zoor ) (d) no23 (e) E{dtqt$Ttt (d) 8600 (r) r+frtqtirfi (d) 5476 (") rtfrt+tird (O 424260 (r) F{qts}$rfi (A 3823 (r) rqdtol$q-fr ({aQo*o ct{r, 2oo7 ) (d) t2oo (r) r+{t+t$rfr (d) 61s60 (e) {{{tstiTfi (d) 27s74 (e) flqtqtiTfr (A n6st23 (r) E+dtot$rfr ({q'fr"efro qft$, 2J07 ) (A -2071 (e) rtdtct{d (d) s4o (e) Ytqtqtirfr 1 *6 *o*o vftqt, zooz ) 3 -.- - @ ; (,) rtfriqtirfi ( tq'frosfro ctqr, 2007 ) (O s4oe6 (e) r+dtct$rfr (tq'froerlo qfrqn, zoo0 ) 817 @ lffi (e) Erqt+$Tfi (tmftosfro qftqn, 2006 ) (d) 100 (e) E{dt+$Tfi 10 dgteTc{{BqrE 25.8988:8+4:? (a) 4491 (b) %1.75 (c\ D47 26. 666+6=3:? (a) 37 (b) 333 (c) 111 21. l40o xx= 1050 ..1 3 3 @)i (b)i (")s 28.35+15x1.5=? (a) 7s (b) s.25 (c) s7.5 29. 1+33+333+3.33=? (a) 362.3 (b) 372.3J (c) 702.33 30. (12)3 x 6a+432=? (a) 5184 (r) 5060 (c) slas 31. 3897 x999=? (a) 3883203 (D) 3893103 (c) 3$9a03 12.72519x9999=? (a) 725117481 (b) 674217481 (c) 685126481 33. 2056 x987 =? (a) 1936372 (b) 202e272 (c) 1896172 34. 1397 x 1397 =? (a) 1951609 (b) 2031719 (c) 1981709 35. 1904 x 1904=? (a) 3654316 (b) 3625216 (c) 3632646 36. l07xl07+93 x93=? (a) 19s78 (D) 19418 (c) 20098 37. 8796 x 223 + 8796 x 77 = ? (a) 2638800 (b) 2736900 (c) 2658560 38. 287 x 287 + 269 x 269 -2 x 287 x 269 ='t (a) 514 (b) 446 (c) 35a 39. {(476 + 424)2 - 4 x 476 x 424} ='l (a) 2906 (r) 3116 (c) 2704 ,l0. 106 x 106-94 \94--? (a) 2400 (r) 2000 (756+287)2 +(756-28T2 (c) 1904 (d) 1eo6 41. :? (756x756+287 x287) (a) | (b) 2 (379+265)2 -(37s-2612 ( *oqlo*o rtfts[t, 2006 ) (d) 5l.s (r) edtct{rrt ( ttq'*"*o cfrm, 2oof ) (d) 702 C) fl{t6t$Tfr (&otoefro qftqr, zooz ) (A s084 (") E{frt+$r-fi (O 37e1203 (r) rtdtdtrfr (d) 6e62r7481 (r) r+frQqt$rd (d) te23472 (r) F{St+$Tfr (A 83626te (r) r+{tdr{rfr (A 3623436 (e) rcdtdt$rd (O 2te0s (r) Erdt+tird (d) 2?16740 (e) Ftdtoti=rrt (O 324 (e) F{dtet$rfr (o 2e04 (r) s{ilt+$Tfr (Hqfr{fr,2006) (r) rt{t+t{rfr (d) tc/,3 (r) F{fit+iiqfr (d) 4 (e) r+dtqtiq-fr 11 ( {a Qo*o qfrq11, 26n7 ; (d) 2wws (e) E{qtdHTfr ({qfro*oqfrm, zooo) (d) 84 (r) Wdt*t$'rd ( *m tosil" qfrqr, 2006 ) ., @i (r) r+{tqtirtt (c) a69 42, =? (379x265) (a) 2 (r) 114 (c) 644 43. qR (6q2' e6)2 = 26 x .rfr, fr .r = I (a) 70 (D) 120 (c) 180 (A no (e) Erfr**T$:rfr 12 qqf{E oifirrFK (4 q.{qtfiTrl (4 E{dtqtir-fr 44 957 x957 x957 +143 x l43x 143 ' 957x957 -957x143+143x143 (a) 1000 (r) 814 7 34 x734 x7 34 -1 27 xl27 xl2'7 ' 734x734+714x12'l +127x127 (a) 607 (b) 861 649x649+ 35lx35l -649x351 =,| (c) 1lm 45 60'7 (") s6l 46. :,1 649 x 649 x 649 + 35 I x 35 I x 35 I ll (a) zx (D) looo 149 500 (c) (4 E{frt+tiTfr 47. sqcerrnq{qldq-frt? (a) 0 (b) 1 (c) 2 (43 4s. verrT dir errnq {qrefr m Ar ffd-{l t ? (a) ll (b) 18 (c) 26 (A 28 4e. sot+a e{!]rqrffiffit? (a) 16 (D) ls (c) 14 (d) 18 56. fsfulqa d t s+r-fr {iq erurq {ren t ? (a) 33 (b) 81 (c) e3 (A e7 51. fiqfufu6 d t +{-$ {qr olr{rq {EqI r-d t ? (a) 3l (b) 6r (c) 7t (d) 9t sz. Fmfufiat d t *r-S {gt srqrq t ? (a) lle (b) 187 (c) 247 (A ssr (e) fl{tut€Td sr. Fmtufisf, fr t qqrq {qr frt-rfr t ? (a) 16l (b) 221 (c) 373 (d) 437 (r) edt*t€rfr s4. fir eisii 61F{i EtA efil{rq {gt qtr-S t ? (a) 103 (b) to7 (c) 10e (4 E{q-t6tiTd ss. qR a nqr a t frqq qcfl{ df, il f{q t t dr{-d {sr w qq-{qr &fr ? (a) a+b (b) a+b+l (c) ab (d) ab+z so. fieFofun d U 46-.qi drcar fs'S vr5-d dql el sri o6 fr s*fr ? (a) 10916 (b) 7s62s (c) 28s61 (d) 143642 s7. fTqFdfu( d t dh-{t {'E{t ffiS vrf-d {ql6r sli 6 6l s+-ff ? (a) 8t225 (b) 32761 (c) 42437 (d) 20164 5s. fi {sr s I 7 * 324 {,{-ffi 3 t fqqffi A fr * $ +qrq q{ dt t eta et+' ffi d'r ? (o) o (6) 1 (c) 2 (d) fli't +ti Tfr 59. qR {gr 481 * 6z3Wt-rqr q t felrft fr, fr * fi r+n w dt t BteI eim m t n ? (") 2 (b) s (c) 6 (d) 7 r0. qRdqr 9721s* 6$ilqr ll ifrtrftA fr *$rqrcREirttfraoi,mer6}n? (a) 3 (b) 2 (c) I (d) s 61. tr {gt 9187 6 * 2 t+dct s t fqrrft d, fr * } qs q1 fr4 t etel gt'fi qr 6}'n ? (a) I (b) 2 (c) 3 (A 4 (e) {+C*qliTd 62. firafrtuq d t frt{-d {wr 45 t Wt-rql frrrffi drfr ? (a) l8ls60 (b) 33ll4s (c) 202860 (A 2$3sso (r) Eriit4t{Td r{qEfr qr {Eqrq 0r. i+qiafun d t dr-fr {sr ee t gf6a 616 601, (a) 3s72404 (b) 13s792 (c) 913464 (O tt434s 64. qR {qI 42573 * Totrqt zz t ferft d, d * qt qrrr rn Rr drn ? (a) 4 (6) 5 (c) 6 (d) 7 6s. 4456 d dA t dE qr {sr dq qri ffi +,rs-d 6 t {da-qr frr< d I (a)4 (b)3 (c)z (A| 66. e21't d sfiq-dq ftt{-d {er t i 88 t Eiilcr frrrfi E} ? (a) 91s2 (b) 9240 (c) 9064 (d) st}4 67. 6as5 fr ffiqdq +{-S {qI t d 75 t Wtn-qr frrr d I (a) 847s (b) 8s00 (c) 8ss0 (A sszs 68. fr of+1 fri ES t ES dqr +r-m t d sr t fofdqr fqrff d u (a) 99918 (b) 99921 (c) ee981 (A ee97l 69. e: deif +1{6d-At*E{qr6tr-dtfr lll t{oin-qrfqrnE}r (a) l1llll (6) ll00l1 (c) 100011 (d) ll0101 70. 5 oidf 61 T6 +A t Bla {qT q,t{-fi t d ar t Xof6qr 6clffi d ? (a) 10041 (D) 10004 (c) 1004s (d) too2s 71. 4 oi6l 61 T6 € t ES {wr +{-d t n 88 t Wia-qr frwm d r (a) 9944 (b) 9768 (c) 9988 (4 8888 72. I 056 d 6-q t q'q eqr frB fs frqqe 23 t Wi-irqr frrr* d Z (a) 2 (D) 3 (c) l8 (A 2t 73. 13601 d t qq t q'q qr qer{ i+ tq dqr 87 t t i-rqr iqrrffi d 7 (a) 23 (b) 2e (c) 31 (A 37 13 (,) Eriit6t{Tfr (n) 8 (r) rci-t+t{rfr (e) r-+H*+tirfr (e) c-{St+t$TS (,) rqdtsliTfr C) E{itqt$Td (r) {+frt+t$rfr (r) E+it+tirfr (e) 49 74. r{rq + qs' Erc { sTMfi, errFher 6.r I 0 Xil der tss-d s.[ 5 u1r t. qR tqq-d +o d, fr qrq t+a-+ tz <qrqrq*qrqfrqn,2oo7) (a) 4236 (b) 4306 (c) 4336 (q s336 (r) F{iitEir$Td 7s. ffi {qr sl og t qrq ti ct qFrFd 269 deil tcs-d {q vrq +dr t. sq {qr d 67 t qH ti cr tss-f, flr Etr[ ? ( qqoq€ofro qfrqn, 200s ) (")0 (b)r (c)2 (A3 76. i+,fr {qr 61 357 t qFr ti c{ 39 tq e-qi t. ES {@r 4i rz t qrq ti cr tss-d Eqr dqr z (a) 0 (b) 3 (') s (d) tt ( \Foq€olfro qfrqTr, 2oo5 ) 77. s+. \iqr 6l s t qpr ti q{ 3 ts {qfr t. Es {qr + Ert 4i s t qrq ti qr r}qqa Hr drn ? (a) 0 (b) | (c) 2 (d) 4 (geoqe"*oqftqTr,2oo5 ) 78. g+ {q +1 so t qH ti cr r qq {qi B. gs r{qr +1 s t qn ti cr tqs-d Hr dfi ? (a) 4 (r) 5 (") 6 (d) 7 ( gogeofr" qftqn, 2gg7 ; zs. <] rt@Bif fl siir{ I 365 t. eS {iqr d da t qm tt c{ qms-d o ner t$F-d 1 5 vrq drdr t. ot4 {qr er t ? <+qT +cT ftrrc qfrqn, 20q3 ) (a) 24o (b) 270 (c) 2e5 (d) 360 80. qFr t qfi efi d tqsi rlqq-d o t, Cs 6H i qrw+ +1 2l + raTn c{ Zf-crr 12 A fflsr ffqr r{ECif, 35 96 fqq1. sfr qFrq-d Hr t ? (qtoqg"fro qfrqn, 2003 ) (a) 0 (b) t2 (c) 13 (A 20 14 qqf{E si+.rrFm 81. A {qrcil 6r u}rr r z aur y;aq6 35 t. Ea dqrql h Eadf ot ftmo fll E}Il ? 1', nqqtZ 82. 52{1 0,994 ; € r*a: (a) 27 (D) 33 (c) 3e u. qRffi dqr t ooxa I,nq loa, d qt {qrt: 5 (a) 80 (r) 100 (c\ 7s ge. mqrrtrfiproperftactionFrinqlsq+qJ#col et<R fi t. *n=*,t, t2 ("):s 3 b\= ') 8s. {qKff 1,3,s,7, tt'fr z (a) o (D) 35 3 (b) lo (r) T 4 G)l 7 (d) n (q{oqso*otrT,2007 ) (A 66 <el efrt*€rd (o e0 5 @i ( gtogsofro qftq6, 2g06; , 2s +1IW 6ti vt sIR Xq{sE + qrfi ott er< t Wii 61{et ffi (lalqftqn,2006) (6) I (c) 2 (d) 3 m. ffi {qr q} 7 t Xun 5qi q{ HE gulrsa }' s$ nia r t. t5S n-+i otE {ut wt t ? (a) 47619 (b) 47719 (c) 4861e (d) 4'1649 lgeoqeofroutqn, m06 ) 37. 1igapif227ZaqSZS61qsfl-{oidld{611,lrtqrqttqtq<rqtl'fqqdcrqE}tt.N+ifqii mqlqf+-irtrt? (geogeofrofrI,2w7) (a) 10 (r) 1l (c) t2 (d) t3 ss. { rqFIf, qq$ftst * eril qr er<n Frqfufut d t f*.q riqt t {.t-dql fr.rff d'II ? (a) 3 (b) 4 (c) 6 (d) 7 (qco*oqotrr, 2003 ) 89. t *qrrra fqqq-Wfsii * qril 6t qm fiqtoEa d t fus {qr t Tt-ilql frtrft drn ? (") 1 (b) 6 (c\ 7 (d) 8 ((tro*oqovftry, 2963; qo. qf< r {+ vrga {wr El, fr (6n2 + 6,4) f{qfrk( d t ffi {Elf,ql fq'rffi tT r ? (a) *46168 (D) 6wl12+if t (c) *'q612Q (4 t-*a tst (grofroqoqftqn,2005 1 91. fi6frfu6 d t at{-d {@I, 1461 + 462 + 463 a 4o+; aJ gl6q1 tqsrffi 6irfr ? (") 3 (r) 10 (c) ll (d) t3 cz. FrE{tdfud d t +ti-d {'qI, 132s + 326 a 3zz',u 3zt1 fr $6+1 616 atfr ? (a) 1l (D) 16 (c) 2s (d) 30 ( gqoqqofro qftq11, 2go4; 93. 17200 fr1 rS t fs$rffi 6{t cr *ss-€ f,r drn ? ( (qoqqofro q+qn, 2006 ) (a) t7 (D) 16 (c) I (A 2 94. ({ - d),(.r - a) t rytrut frtr* ilfi dIrTI, ii-df*- (a) n*{rftur7ar{urd (6) nqt$rfrwrrSaderd (c) z+t$ rftftqqsrfd{slt} (4 nst{fccc{'qrd 35 {qtsi c{ tffi 95. (49r 5 - I ) fTq t t G6sS tf-*qr ferrfi E}rr z (a) 8 (b\ 14 (c) 50 96. 6767 + 67) 61 oa t qrq tt c{ tqs-d ilr E}n ? (a) 1 (b) 63 (c) 6 15 (d) st (d) 67 97. zq+-qqrTlt+tffi +t erTrrt+cr 3 tse-stt. zn +]4t qmtic{tcsRHrfrrn? (")3 (b)2 (c)t (Oo ce. fflr rrqr t ts (232 + r) q+ { rr{ f{*q {qr t Tiilqr fq,rft E}fr t. ffitun d t dn-s {qt{s {qr t frrrff d,fr? (\cowo*o cfrqTr, Z00Z ) (a) (2r6+t1 (r) (2'6-t) (c) 7x233 (O es6+D g. @743 + $4\ aqr (4742 1 43nz; 6 ssstre Uqrcrs firqtefua C t +t_er drn ? @)@7-a! (b) (47+43) (c) (47a3+43c2) @) F{tt*t$Td 100. A Ra rrt Trrf# a rer 6 * {rrd q6i 6 > o t, t {qfo, q irerr r g{r FFR e-*lq fi tfi: (a) a:6q+aq€Y0<r<b (b) b=aq+r,qEt0<.<, (c) D=rq+a,v6Yo<r<b (4 E{4tfrtiT6t r o r. gq' sr* i 98 7 6l Fdrfr {qr t gqr q,-G cr XoHq-f, 5 5 99 g 1 yltd f6q1 d Zfr lf,ul qr. Vsi st+ s h if* lre-ctnqrts st*'sdt. sfisrrt: (a) 553681 (D) 5s5181 (c) 55s681 (d) ss6s81 r02. Ffis {'sr o1 r : t qH ?i cr 1 l ts {qi t $s {gt d l 7 t snq t+ Tr 9 ts {qt t. T6 {sI flrt? (a) 339 (b) 349 (c) 369 1a; uim.B err<f< ror. g+ dq +1rs'qFrd 4 ircrT s t rnq ti q{ s'qvt: r flr 4 r}s qqil t. qs {qr +l xqrrn s aqr + t qH ti q{ +q.Fd ficfl: flr dt ? ( \Foqeo*o qfrq6, 2ng3 ; (a) r,2 (b) 2,3 (c) 3,2 (O 4,r rol. qo {q q1 ifi'rrtir 4, 5 ilt 6 t rnq ti rR fiqfl: 2, 3, 4 ts qqil t. T6 {qr t: (a) 214 (b) 476 (c) 9s4 (4 l90s 1 0s. tdfr dqr +l s s s t ,n'r ti * feq qr r€rfr i qrq qiri +1 {flerw ft fu qr y*rr aqr. ssi s e s +gumqd 5,9, 13trqrrnfrrrmf+'qrffirfiq{r, ltqqer+, g, 12ytqH. qRwsqdqr +1 sas t qFr irkil, A fuq.d f{-il{ dar ? @) 2a (D A4 (c') 2e2 (O sB4 165. f1ffifuq {@oif d t f$Tfi {safi 132 fr $6q1 frrrm dFfr ? 264, 396, 462, 7.92, 968,2178,5184, 6336 ( d@t+ilte qfrEr, zooz ) @)a (r)5 (c)6 (O7 r07. +{ oifrI d ffi {qrd o t qoi-rqr fqqffi tfr 6, (a) 14e (r) 150 (c) lsl (A rc6 108. rerr 45 cr$-d rtqd or ftr f+-a* t-? (a) l03s (6) 1280 (c) 2o?o (d) 2t4o 109. l t 3r + +s sfr qrfr sq{qpt +r +'r ffif,{r t ? (a) 16 (D) 128 (c) 240 (O slz 110. (51 + 52+ 53 + ... + 100): ? (a) 2s2s (b) 2975 (c) 3225 (A 377s 16 qqF{B 3i6Trfrrc Er llqtfnq-qlq fufilt ? @) f,n@-t) (4 E{f t6}iTfr (a) trz. z: t t oo <-+ qi o t ltro frrr< eli ard vrpn {wr+ ffi t ? (a) 8 (D) 11 (c) 13 (d) 12 too a-o +1 vq qq rr5< {ur:rif *.r ft t+-fl t ? (a) 2ss0 (b) 2s1o (c) 2s80 (4 2480 A iridi +1 s t frrrm di srd s"fr vrf-d {@ret m t{ ts-fir t ? (a) 1035 (b) t24s (c) t23o (4 94s 6 + 72 + t8 + 24 +ro + ... * GnaiTs] mtq tgoot ? (a) t6 (b) 24 (c) 20 (d) 18 *d l, o, 12,24,48,..., 384 ii Effi Tqt a1 {€qr ffi t ? (a) 7 (b) e (") 8 (d) 10 3 +32 + 33 + ... + 39 = ? (a) 9840 (D) 19680 (c) 29523 112 + 22 + 32 + 42+ ... + 10) = 2 (a) 330 (b) 34s (c) 365 122+42+62+...+20\='l (a) 770 (b) 115j (c) ls40 6P + 122 + 132 + ... + 2or =') (a) 385 (b) 2485 (c) 2870 1). [, n) ( r11. *ofr n ( I , 2 *(, t I -( 2' (b) I n + n 113. 114. 115. 116. 111, 118. 119. 120. (e) ls (e) fiit*t$Ttt 1,1 sttt+t{rd (e) 22 (e) 11 14; sr-t+t$rd (d) 38s (d) 385 x 385 (d) 32ss (b) (e) (:e) (") @ (") (b) (d) (b) (a) @) (b) 10. 20. 30. 40. 50. 60. 70. 80. 90. (r) @) (6) (.) (6) (d) (c) (b) (d) (D) (c) (c) @e. (c) 19. (c) 29. (a 3e. (o 4e. (c) se. (a) 6e. (b) 7e. (b) 8e. (il ee. L 18. 28. 38. 48. 58. 68. 78. 88. 98. 108. 118. (b) (b) (r) (a) (c) (c) (a) (4 17. 37. 47, 57. 67. 77. 87. (c) (") (a) (c) (D) (d) (b) (.) (a) (c) (") (c) (") (b) (r) (a) (c) @ (c) (d) (c) (a) (") (c) 4. (c) 14. (d) 24. (b) 34. @ 44. (c) s4. (d) 64. (b) 74. (b) 84. (c) e4. (b) 104. (a) 114. 7 12. .,, 32. 42. 52. 62. 72. 82. 92. t02. rtz. 3. 13. 23. 33. 43. 53. 63; 73. 83. 93. 103. 113. (b) 6. (a rc. (d) 26. (b) 36. (a) 46. (a) s6. (c) 66. (b) 76. (a) 86. (a) 96. (a to6. (b) 116. @ (b) (e) (a) (d) (e) (") (") (") (d) (6) (c) ( d rls. (d) (b) (b) (c) 5. 15. 25. 35. 45. 55. 65. 1.(c) 11. (c) 21. (b) 31. (b) 41. (b) 75. 85. 95. 105. (a\ 109. (d) tle. 100. 110. 120. 97. to7. tt7. 111. (r) sr.(d) 61. (c) 71. (a) 81. (a) e1. (b) 0r. (c) H.rlvw) *. ea r. e{fie or<t = (6000 - 6) = 5994. ?. g437s1g 7 q;1rqrfrq qH = 7oo. r. oilfre sr<R: (8oooo- 8o):i992u l. f<t rd XoTis-d t {+ri 3is = (4 x 8 x 7 * 31 i 5+( ei+ : z Fr{qItIT {qBii cr {ffii 5. Ttos { f+r{ 3i6' : le\26, 7l qr f+r$ ei+. vrg 17+;ze or {+ri 3to = r. slo. 7ro5 { r+r$ "tm = O x 7):7. 6. 34 +,t E-+'d si6 = I :+ (3a)I6 or f-ori t'+ = r. 365 ET E$ri ili6 = [(34)16 * 31 6r g+.( ,{+ = (r x 3) = 3. 6sr 61 ffi 3i6 = 6. 74 ol {frr$ eiq. = t + ?ayt * f+rg ;f+. = r. 7rt 61 5+,r$ eis = 117a1u, 731 6r g+( .i.-o : (r x 3) = 3. .'. srfr€ d'-o = (: x 6 x 3) 6r {+'rg i}ifi = 4. 7. les qt Efir$ oi+. = K7\23 ,. z3l q.t E+.r$ eiq. = (r * :) = r. ,se 61 ffi ef6 = 113r1t+ * 321 o.r E+rg oi6. = (l , 9) = 9. ges - 3sty 61 Strrf 3i+. = ( 13 - g) = 4. 8. (4l3T754 s.r EsT$ ilis = [{(4137)4}1s8 x @137)2ls.r f+rg irim = (l x 9) = 9. 9. (637qt7et +'t f+ri etfr = (4)r7e3 sr Fsd sifi : [(42)8e6 * +] 6,r E+r{ ei6- : (o x a; 61 96( .rio : c (6zsft't * 5+'d fs : (s)3rz qT F6ri st6 = 5. (3+11+et o, E-frli 3i6 = (t)4e1 $T g+ri ifq; : r. si$€ sis. = (4 x 5 x t) E.r {mr$ si6. = 0. 17 10. q[{t 7589 - "r: 3434. iI,;{, x = (7589 _ 3434) = 4155 ll. Cl-fl 9548 + 7314:8362 + x. .. x= 8500. 12. rIFII 8597 -x = 7429 - 4358 + 8597 -x = 3071 .+ x = 8597 _3071 =+ x -- 5526. 9548 + 73t4 16862 - 8362 8500 8597 -3071 30'11 13. 5014 + x= 428274 + x.= 42827 4 - 5014 - 4232.60. 11992 - 7E23 491109 - 62835 428274 - 5014 423260 5526 4207 -x=3007 x: 4207 - 3007 : t200. 4207 3007 4169 - 456 3251 + 587 + 369 l4 371 3 15. 4207 1200 7589 - 3434 4155 7429 - 4358 18 q<f{€ 3i6fir( 16. x- 19657 -33994=9999 + x:9999 + 19657 + 33994 :63650. 17. x + 3699 + 1985 - 2047 = 311l I = x+ 5684 =3tt1l + 2047 = x = 33158 -5684:27474 18. 4300731 -x:2535618 + r= 4300731- 2535618 + .x = 1765 I 13. 9999 + 19657 + 33994 53650 3699 + 1985 5684 4300731 - 2535618 17651l3 -2071 33158 - 5684 27474 .-tB 30e5e" l+96+0$* 2O. - x_-___- _ - =450. | #4+t +6+ 331+ 19. 84 x 29 + 365 2t 'l', 35423 + 7164 + 41720 84307 - 28211 56094 2r 24. f(qr rrqr ajqfi 25. f6ql{ql aiqfi = -84x(30-1)+365 = - 2520 + 84 + 365 = -2520+449=-2071 4500 x .r =3375 =+ ,= 45ee.** =; 22+l J 317 x 89 = lll x (100 - 11) = 31700 - 3487 = 28213 31700 - 3487 78213 f<qrrrqraiqo = s * 1 *, - ; -(r- +) 121 4 t7 15 765 + 1,20 885 -68 = (9+7-9)+ : (lfl:;e + 1924 = 1921 ' 1g2a:1nQ1 -2\ = 103 = 1000 1 I 2247 =8988"8*1= I = 280.875 817 l1 26. Rcr rrql aiq6 = 666 r 7x 1 = 37 1050 3 27,. 1400xx=1050=r= l4O0 - 4. 2s. Rqrrqlds+ =35+15, ]=,, 32 2s. 33 333 3.33 (70+45) ll5 22 45 +Z-xl2xl2Y6x+x6 -- 4+;- =864 372.31 30. 2 -2520 + 449 31111 + 204',1 765+120-68 817 ro20 lo20' r{qt$qr {ffi 31. 3897 x 999 = 3g!l x (1000 _ l) = 3897 x 1000 _ 3897 x I = (3897000 _ 3E97) : 3893103 32, 7251q x 9999 = 72519 x (10000_ l) : 72s19O000 _ 72519 = 725t t748t. 33. 19 3897000 -3897 3893103 725190000 - 72519 725lt74El 2056000 -26728 2029272 34. 1960009 - 8400 195 t 609 35. 1904 x 1904= (1904)2: (1900 + 4)2 = (t9OO)2+42+2x t9}0x4 3610016 = 3610000 + 16 + 15200 + 15200 = 36t0016+ L5200=3625216. i625216 36. 107 x 107 + 93 x 93 = (107)2 + (93P : (100 + 7f + Qoo _7)2 = 2><l(too)2+721 l':(a+bf+@-b)2=2(A+b2\l = ! x (10000 +49)=2 x I0(X9 = 20098. 37. 8796 x 223 + 8796 x 77 = 8796 x (223 +77) | .' i " b + s x c = a x (.b + c)l = 8796 x 300 = 2638800. 3s. fflr ?rqr aiq6 = o] a 6z - yo6 : (a - bF : p87 _ 269F = (l 8f = 324. 39. fflr rrqr Eiqif = (a + b)2 - 4ab : (a - b)2 = (476 - 42q2 = Gl12 = 2794. 40. Eqr rrqr ai{fi = (tO6)2 _ (s4\z = (106 + 94) (106 _ 94): (200 x t2) = 2400. {1. f<qrrqlai,rr - \a+b\1+(.a--b\2 =!(.ul' =r. ta- +b-) (a. +b.) lz. f<qrrrqrajq+ = 9l!t:9:b)' =4ob =o 43. (64 + 36) (64 - xl = zo, !zo, = roo ile=,='*ii" =,*. -. e-- (ai +b31 44. IerTqraNi?F = A_;;6,vEia=e57iIzII6= 143 = (a+ b): (957 + 143) = 1100. br) a5. fql qa ajq+ = .';o--. .r-. = (a - bl = (734 - tzit = 607. (a. + ab+ bz) .- c--- 1o2 +b2-ab) I I I {o- i=Ei :iEi EEiEi = --------=-------- (a'+b') k+bl (649+351) 1000 ' 47. yW qqrqdE{r z t. 4t. offie+r =(2 + 3 + 5 +7 + ll)= 28. 49. s0tEtasrqrqrire{ra$; 2,3,s,7,It,13,t7,ts,23,2s,3t,37,41,43,47.{{+1 {@r Is t 2056 x 987 = 1397 x 1397 = 2056 x (1000- 13) 2056 x 1000-2056 x 13 20 5 6000 - 267 28 = 2O2927 2. (13e7)2=(1400-3F (1400)2 +32 -2 x 1400 x 3 1960000+9-E400 1951609. 20 qqf{E sio'rtFn so. qe t to qz q+. qqr-q {isr t. st. qe t f+ 91 qr Iwrcro.s z t. era' gt 1m errnw {wr tfr t. 52. l 19 ET TUFrcIo-g z t, t tz er Yr+rqo-g I t t, 247 6I $r{su-s 13 t, 551 6r UUr{G!-g 19 t. .'. { ri ri@'Bii q t eti gfr ri@r 31q5q afr } $. J4v <21. zr tdEerqrqrirc{rit 2,3,s,7, t1, 13, 17, 19. erd: { 'ri {qI s} qq urnw rieret t qnr qlh tdi. t6l 16r Isrq-€!-s z t, zzt fl I"rtqo-e t: t. 373 Ec{ {.r$ dq,qi q A ffi t rri Wta-qr tdqffi rd dil. qd: 373 F srqrq TiEIIT t. sl. fir eie}qflsctEtA€qr 100t, d z tryir+rfarr+datt. .. 100q.E e+{rq{@r{frt. Jrot rr 32II 1s1 srs{rq{iEald 2,3,s,'7, rr tffitfrtrmrfrt}m. ord: l0 I (:F erqrq rirfi t. ss. <] fsqq vq-d {qrefr oT tq q+ qc-d@T t .' (a + al q.6, €'q{iqr t. s6. ffi rfirrfa{wrfr.e,i+rr+ri et+ z rddsom. s7. ffi rft yrta {qr } s,t m q+ri sts 7 rd it F+-il. 58. qr;IT * *- +trR qr , d. a-q, 5+l+7 *x+3* 2+4:(22+.r), Tri-irqr: t frrmd'n. .. x: L, 59. qHT * * ern qr , d. n-q, 4+8 + I +x+6 + 7 +3=(2g +x1, ltt-+ s t frtr€dTr. 60. qFII * fip16 q1 1fr. A-O, (6+5+z+9)-(x+ I +7)= 14-x, T]tcar tt t frll-m dtlr' ,., x= 3' 6r. s-qrq s-{+ nrd 6{il t f{, 632 T0tdqr a t frq-fi d-dr t. slf,: 31Se qrl = 3. 62. {rr{{qrsitttyd-+qrr+rieiqoelqqr5t.srd:flitTAfirirqrstWfrqrftq*a}'ilt' 202860t etdqtq: rs, d stfrrrfi6tdrt. .'. 202860 Tri-irqr +s t fs*rfi EIfi t. or. qe t t+ l 14345 Toi-ir{n 9 dql 11 +fr t fs'r-qa 6tfr t. ekT: z16 {i@T qs t Wtdqrfsqffi dfi. 64. 72 = 9 '. 8, ii TrE orqrsq t q54*}'p16q1 ,1{. { T{ tqT dl s t fsrrff di A'ftq ri@I 73r ftl s t fs'{ffi Ehl EGs. 3rfl: r = 6. 3trr, (4+ Z+ 5+7 + 3 + 6)= 27,d 9 tWt-fiIfrqm dfit. 425736 {oia-qr zz t fq,rm e}fi t. gftI: x = 6.