[BADC Administrative Officer 20171Exam date: 27 -10-201 7(3pm-4pm)

fSolution By: Khairul Alam ]

). e1'qrE&frrqsf 8a% s|FF&ffi6 | {qEritrat c,ttr'FqlcE;rqf* 8o% Tct q<\ qrosf*fr'ql ro% c<c9sfs t

sKry+elv s qlrErqfNBrqflls re? IBADC (AO)-201U

A) s.u B) r>.>o C) sc.ae D) 88.84 E)ronBtar

fwl{l;r:( D)qR, qkul<frfu >ofrfr& q<( qBmzgq]g. = 8c'D[s[ lEl-<q mlDqls = )ox8c = 8coB[$l t

qKK, )o ffi qp6q lEq frfu >>fr q<( Effis aoEIfl +,c< q9q mtB qls = ))x8o = 88oB[s[ r

IPI EIv e qlfsR S165{ q{"tls = 88o:8co nT 88:8C blot t

a,. {fr$r+ S = a q<( <* - {r - -8E*,vl-qrE<r'+f qrrf{<xrEtrr? IBADC(Ao)-2017]A) )s B) -)s C) :u D) -u E)

rI:rFrf{:( A)sr+ rl\ = 8

Tr- ri=-8Shortcut: nF <"f ,rs"lTK 6{Ff{F-{ e Cr{ El q{"R C

a. qeR"l o € I q[s "nr* r fu"vtcq-{ <r'f-< fu-Tr5]T-{ -qffig-{.Rt esftcq.m.o €<Ry"f<F l<s<< rutt

8 frrE o' +Q.8 = 59 tqr< r

e. fuftcrr EIro lo <qcrdw I q <qr "r*, fu*<rqftc{d<finrRo.tw{ r fr-qFdT|qTrrt<*t ? IBADC (Ao)-2017A) )q B):v C) lo D) )) E)b

omlqFr:( C)

{R, fr{f{ <JPI = x <q<' r

sr<qfrN-{<{'{ - x-10 <q< r

ES{cu.,

xt7 : 2(x-10+7) tftrrqBqefrcq< rTfcal le"fl<T, x*7 :2x-6.'. x: 13 Ans:

8. ffi^ {lTFtRs "ffttqif* acIrEaT )\o qrdT qrcir c{Ff{FE<5s^ ? IBADC (AO)-201U

A)b B))8 C))q D))a E))1

a{{t{f{:(D)){o cf el,{-r{ 'I|€{I{K tx\x\xexc qfi&4F {TI{IRS{(.TI<r{rC{Kq-{i qrq-{6$',TF',lcgqr{ 8xcxs

{P<l( c{tEFq: 8*c*9 = )G I

a. u qrq;t qffiqm s6 c+& sq,qs q-{rqG-?r {fuN.{ (sFsi{ mtit cq'filrEf[ftr 'lg sq-+ c..c m& 6{(9{l-{ r lYq$fuslq{<lg m& r TBADC (Ao)-201ry

A) sc B) c\b C) uo D) uc E) :oo

l$\ = 6 t61IslTl3l

1u<|iot=o.'.s-=oqKK,qrlr = b tfrmt't+r<I

<t, "fr- 8 .'.r[= Q.

{q<1( ot + "f = o8 +q8= )g

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{i,{{t{f{:(D)b q5qs lzv l..c co&nr< <rvrq cTlE sq-{<ls-r< bx\.c - qo m& I

Ef-{cETg{TfiGT sq-{ - 9c*lo=bc 6s& r

\e. ?qfrr u qEf +fqeca \rE "tt-t ttrqqt{Tro qfr5a ffi66s "trcr I wFrf{6s 5fr5a ffi<qpEcq 8F ep6e6ffi-+,ag.qBr+m<rrs-<r< ? IBADC (Ao)-2017]A) >o B) )\ C) :c D) )\e E) roFfrQm

r{{t{f{:(B)eft er]-eI. fr6q l frrq 1lfi o.-<-cg qmr.fq F-{F q5q = y ffi) " " ) " " " " " " " =bxgx\ 1+l"n-"tfrcaffiw[Tq<qs.{ftr{qlT(lc<Frr)g " " ) ,' ,r r' '. 'r bxgx\=?-)rqfirr

c. )oce (T qft{ qffiF ss c{t't F{cE ({tt+q \e ail fr.r.Irq Rslsii \T< ? [BADC (Ao)-201uA) \ B) s C) :u D) r) E) ronfrt m

owt{Fl:( A)q,c frm )ocg cf sli'cl-(E \e-l'lc.l{ elrsrE - q) EIqGT Iq?tI {]TR qe-q) = \ qB&T Tl{fi qrrds-{l{ qrr frcq w q<r sr[ErT l{E-fi( )oc'g (TficRt (<ftf S-{Fqr{ e. I

b. erB ssFmft<r<-{lcr{ cqtB Xqt.lqT c?lr$ 's' 8o%,'\' \c%, 'rf' \o%, '{' )o%, q<( 'v' c% "IlT t 'T' q< {{lTl 'r[' qr \T{m-{.Tss-{f ssq(.I ? IBIDC (Ao)-20I7lA) \eq.a% B) >lo% C) :vo% D) )1a% E) >vo%

oqqFrl;r:( C)q{l-rqS Q4 8o% q<( ?t,{< qC%

El{c{ { q< \cq <fro q< 8o q{

{q{I(lEsrlEKqr< to

"oo -)*o%tc

h. rof{ q<tnl*ff{l{TnfuqrqretBkfr-o+{a&q )oo El-$t r rql3r<rl-{rtvlffi{Anfr-sqq? 6o7 q1-5a1ffir I c1x&?cfr-r {ER so % (tvltrtt ErgCE r <6TET qrere' ffi-o qG w' ? [ BAD C (Ao) - 2 0 1 7]A) >vo B) >>o C) uo D) Ve E)r+nE{m

o{{l{f{:(C))oo Dfof c4@ ao%:rslR${rc{Tgrvqfr co brcl r e?l=r qt co BloK so% = ee}1-Epqlg6q+xqqqR{trr co*eo =bo

Dro r

5e. q<tFQqFfr<Rsrql{H<KlTcTs q.itA?6\ro% € @co%TlvlHt<q q<\ q{UEst qo% TfiFrtgr tq<lT{ttr'Rfl'il1-{TqEIE-{ "@fritttmr cqlrTrls"t{tTu\R.t c{ft ? IBADC (AO)-2017]A) av% B)ao% C) aa% D) vc% E)88%

awt{lT: (A)

Ec[N hqi, +q s Em-W )o, )o (R 5o qfq"qENT = )ox)ox)o = )oooqETtq{T, +q s Em-W = )e,)c q<( b WTt(q-pqqHET = )rcx)cxb = )Cgo

qHET $ tfx )cvo-)ooo = cgo r 1fr-<1ss-fi qK - ceo x )oo = ee%

)ooo)). eu c(?ll'ttr{ *6poer{Iv-rwF<r{(q ? IBADC (Ao)-2017]

A) s B) u- C) b D) :o E)roFfrQmawlqir:(c)

rrs mst{'m '|[€fi{f{8xb = qrxrtq €fi qTt rT(?Rt{ E"fm< "11€n"krc5q1g {l3t ) mttf s1tr tr1ffi1 eofq-{ qE exe - b I

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)\. qrEqEFrfmN-sirqlE q[6F, E'Imr EcsI'rffi{tfrs 13tuvfcqr otbc$fdq,ta.t r & qEf{f[Td cq|b{fi<'lirE s,qco bfslqrE & qERtm<reqqqlif qtrs ? IBADC (Ao)-20 I uA) )a B) \c C) rrc

owFrtr (B)qR, qsqi?BI = x q;[

I

sR5q ElIq-{ EFjr<F-{ $fr-S "R5 = 10x Drst r

qdq]F,

xxlOx :6250 <1, x2 : 625 .'. x:25

)e. )e, )q, )c, 8) .......{TrE{"m<ffc\?li'lB'Ts ? IBADC (AO)-201UA) ro B)us C) )o) D) )8a E)ronBtm

twl{f{:(A))e, )1, )c, 8) - - - {ITIE{{rr{R<K{l{erqlqrfi 8,u,)\9 w<R,{( 'lc-<{(?r|{{r(et<r{Tt{EK ee. q<({s?mB{6{8 )+9Q. = 1e I

) 8 . rstrtrrl^ Ft6{ {qscm otg <*t <tfr+rrnr R{rf{ fro"t I ee vtrK Q p6a alqE s a1fr1'I6q1 q$Btd q-{,iltr- c. I r & prrq-{

{EFFwrr mtb<sc<iu R< ? IBADC (AO)-201 7]

A) rroo B)vqo C) eso D) eoo E)ronfitm

iwl{l-{, (C )

c*) = gq(r.Ka5qTffi31q--s= egX9 = oow{q<(<1fi-d= eg-eo = 9E{t\9

...{r{-f,@iT riv<<-q'- )i<q{ I {wfl(<r{-fiq-{ miD<xrT = eox)Q. = ego<q<[ I

tc'. <lE erE<tqlTfr{dntcR )o% s&rgfrfuffiq trq{fr<QE \o% <rrc'lli{fr-p q<( 8s Bffi mftqE{frfrims, sfqmEF 80% slvw r<lq<QF+uqrrcffiE? IBADC (Ao)-2017]A) co B):oo C) loo D) aoo E)ronBtm

D) 8a E) ronfrtm

lt{ttrf{:( C){R, q?N@{{-{i = )ooDl.FI I

El{6{ Eq{frC{TEi = )oo-)o =bofu I

q1=If{ \T@q-{f = )oo-\o = uoBl-$t t

qRl{ 8o% El-t€ q1fica{qr = uo+bo 44 8o% - ::q Ef$T r

,!fi Et fr@rTrflT <il{{l{ - ) ) \-bo=\\Elst<fl-{{l{ qqBffiqrE@nT{i = )ooBlsl

{s-fi(<K${ aaBffiqc-{ cqqT{K ={oo lI$[ r

)e. \8o q-{ qf{t qsE<{rsfqTTrl-s I cfifrtrrrEsi{qRHtfr{vlT Gl-trF \o w* t*s 6{Ff Rq I q[{ErrEq-{Fte R{vR c.I6f,

e,o q{ qts<rss c{ft fu | Frcsrq(Fr<rs'sir t*s Rry IBADC (Ao)-2017]A) :oo B) >ao C) tac D) >co E) rc

aWf{Fr:(E)I.(i T',R, {g{ = x

{Rqt = x - 20 (,1e{ (<lrc {fuT \o e*{T:r l)q<(fts = (x * x - 20) - 20 ("frr {REt fuE qie TT$ li-6q( 6at6oFis \o E-{s{ r)

:2x-40qIITF,

x + (x -20) + (2x- 40):240 (";*n+rffi+fttu - \8o)4x - 60 :240 = 4x: 300 = x:75 .'. {<"t = 75

Shortcut: 22%: 44 so l00Yo = 200

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)1 qFtstql3r )bqo fibl.ltft(TEt )\o frnF{tct<'rd cqrFrq$ )vo qqEtfiTfi'6n146q I a,8 fu "Br, {lq f s<temryEb

qq q frfifroq{cl-*{c{rsrq c.lsmrg<mq&fiw<ioqq mrofirstt'tffip. <E? IBADC (Ao)-201ryA) >>o B):vo C):uo D):lo E):oo

rq{ffi{:( B)

ffi"t q6t Cete )b\o *u I = \sofiBK r

bfifr{q-{FE = )b\o-\8o = )ebofiBK q<(fr{q{FiB )\o-\8 = be

{8 frr{ qaofiiKfi${s-<us 6{loElcrf = )9o E-{ I

) " ) " " " " ') - )9oxl8 6tfrcla{ftc{rqie6i"q<(T:Ircr[w.s{c{ls-ElivFt)

Q.8o

bg " )gbo " " " " - 5gox\8xssbo(a.8q<fr{fr'Fb\9q<(\8oq<fr"i-fu-{16lbg)Q.8o x bV

= \bo E{ I

qGfr-s cqr$. slrrr<. Q.bo-)Q.o= )90c141

5v. qaq-{<l& qsE<'frFEqlgqlvtqtF|-trr<8ffi{ I qlsr{Td{tqFf*olTc.tos'.F-t\.t<'r$roqc{R{ ? IBADC(Ao)-20171A) \o% B)tc% C) slZ, D) vc% E)r+Ffrtm

.qqt{Fl,(E)qfr, <u{Istrfr{ qs{q = )ofiBktERT{ qrsr{k-{ ('16{qFcoqc< = )o+)o - qofr.

qffi{ s{{sK{ c{F q6q qttis << G " ,o = )8.)8

ul{6 a1(itm q54, \o-{lt )8 = 9 ,iEF-{r qK e x )oo = rro% {ll I

lo

)b. qFE c{ftT qe cfls 8 q{<tr*qfqT{6E efr'6<s oflfr atl-6s r fu q& 6Ers e q-{Tm<rrm s q'{qr@rd qi&rr efi<rixrE{ r

e c{fuqEq$lrt'Qs ? IBADC (Ao)-2017]A) co B)vo C) 1o D) uo.. E)r+Ffrtm

0T{l{f{:(B){r{Sfr, qtqq({tf : x

q{wcu, x+3 =

x-6 1p5g"1&!6rr$trIa'fi+743

-- x+12 x-6<I '' '- = ' " 4 4x-24:3x+36 .'. x:6033qo. <fr n e<l& ffilvc\fiE{wrsftET c+rqE cqMq(rlitqrc "tl*c<{l ? IBADC (Ao)-2017]

A) n' B) 3 (n+1)+3 C) 2n+2 D) 2n+3 E)ronfitqr

.wtffi:(D)q{-{t qlfr m c$l{ {$lftr {kar 6srlg iT(1Tt sct s;r6E ET crlv qLT TIT r utt e{ll-{ 2n smfr mM {sltT r qI+K <fr Zn rqtV

q({tt q{ ETqr{ El{ {lcq qLTsF co?g. c(?BI C{Fi s-fiE mlgQ alf$5q r ft-c ftrq]v {({It 6ql''f Gl-rE ElI frreM <-q <fc< r E.tt

2n+3 s-+"|lQ R'cqtV << r

Source: Khairuls Recent Math Solution.

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