कंप्यूटर 

Please join a coaching carefully : An advice by Sri B L Tata

Dear students ,

It is advised to you to choose a Coaching Institute very carefully as the wrong
selection may mislead you to despair and disappointmet . Your success can be
delayed enough to shake your confidence . Don't choose a coaching institute just
because your friends are going there .

We , the Anmol Academy provide the best kind of guidance as you will  have even  a Branch Manager as  faculty  whose books on mathematics , Reasoning and English are going
to be published very soon .

Just  give a thought to it .

Friends , Coaching Institutes Never Provides Complete Solution for Analytical part of Reasoning like , syllogism , assumption , arguments . input output , puzzule test , sitting arrangement etc  but in our academy , we are imparting the best guidance for them . 

you can surely join us . One more thing which is very important about us is that we take just

 45 students in a batch , so hurry and get yourself registered for the next best getting started on 

01.09.2014

with best wishes !

Yours truly
B L Tata
Director
Anmol Academy

MATHS :LCM & GCM

• 1.     nks la[;kvksa dk e-l-i 41 rFkk y-l-i 615 gSA ;fn ,d la[;k 123 gks ] rks nwljh la[;k D;k gksxkh \

 gy %  eli ˣ yli = igyh la[;k ˣ nwljh la[;k

-        41 ˣ 615 = 123 ˣ \

     è ? = 41 x 615  = 205 

                       123

            vr % nwljh la[;k 205 gSA

• 2.      og NksVh ls NksVh la[;k dkSulh gS tks 8] 18] 24 o 36 esa ls izR;sd ls iw.kZr;k foHkkftr gks tk;s \

 gy % og la[;k 8 ] 18 ] 24 o 36 dk

   y-l-Ik gksxh

2	8 ]18 ] 24 ] 36
2	4] 9  ] 12]  24
2	2] 9]   6]   12
2	1 ]9 ]  3 ]   6
2	1] 9]   3]    3
3	1] 3]   1]    1
3	1 ]1  ] 1 ]   1

    

vr% yli 2 x 2 x 2 x 2 x 2 x 3 x 3 = 288 gS

• 3.      og NksVh ls NksVh la[;k dkSulh gS tks 8] 18] 24 o 36 esa ls izR;sd ls Hkkx nsus ij 5 “ks’k cps \

    gy % og la[;k 8 ] 18 ] 24 o 36 dk

      y-l-Ik ls 5 T;knk gksxkh vr %

      288 $ 5 = 293 mRrj

• 4.      og NksVh ls NksVh la[;k dkSulh gS ftlesa ls 7 ?kVkus ij “ks’k cph la[;k 8] 18] 24 o 36 esa ls  izR;sd ls iw.kZr;k foHkkftr gks tk;s \

    gy % og la[;k 8 ] 18 ] 24 o 36 dk

      y-l-Ik ls 7 T;knk gksxkh vr %

      288 $ 7 = 295 mRrj

• 5.      og NksVh ls NksVh la[;k dkSulh gS ftls 5] 8] 12 o 6 ls Hkkx nsus ij izR;sd n”kk esa 2 “ks’k cps ijUrq 13 ls  iw.kZr;k foHkkftr gks tk;s \

  gy %  la[;k 5 ] 8 ] 12 o 6 dk

  y-l-Ik 120 gSA vr % 2 “ks’k cpus dh n”kk

  esa og la[;kk 122 gksuh pkfg, A ysfdu

  13 ls iw.kZr % foHkkftr  gksus ij 120 esa

  13 dk Hkkx nks ] rks “ks’k cpsxk 3 ysfdu

  gesa rks ,slk “ks’k pkfg, tks fd igys ds

  “ks’k 2 dks “kkfey djrs gq,  iwjh rjg 13

  ls foHkkftr gks tk;s  

      tks 3 x 8 $ 2 = 26 gSA

      vFkkZr~ 120 x 8 +2 = 962     

     

• 6.      og lcls NksVh la[;k dkSulh gS ftlesa 20 ] 25 o 30 dk Hkkx nsus ij Øe”k % 8 ] 13 rFkk 18 “ks’k cprs gSa \

gy %  20 ] 25 o 30 dk y-l-i esa ls  izR;sd

      Hkktd rFkk laaxr “ks’kQy ds vUrj

{ (20-8)= (25-13)= (30-18) =  12 } dks ?kVkus ls mRrj izkRr gks tk,xkk A

20 , 25 rFkk  30 dk yli = 300  

vRk % mRrj gksxk 300 & 12 = 288   

• 7.      nks la[;k;sa 5 % 6 ds vuqikr esa gSa A ;fn budk eli 4 gks ] rks budk yli fdruk gksxk \

            (,l ,l lh ijh{kk 2010)

   gy % igyh la[;k  = igyk vuqikr x eli 

                     = 5 x 4 = 20

        nwljh la[;k  = nwljk vuqikr x eli

                     = 6 x 4 = 24

            vc  20 o 24 dk yli 120 gksxk A

8.      nks la[;kvksa dk e-l-i 8 rFkk y-l-i 48 gSA ;fn ,d la[;k 24 gks ] rks nwljh la[;k D;k gksxkh \ (,l ,l lh ijh{kk 2010)

 gy %  eli ˣ yli = igyh la[;k ˣ nwljh la[;k

        8 ˣ 48 = 24 ˣ \

     è ? =   8 x 48  = 16  Ans.

                       24

9.       ds nks xq.ktksa dk y?kqRre lekioR;Z 1056 gSA

   ;fn ,d la[;k 132 gks ] rks nwljh la[;k D;k

   gksxkh \ (,l ,l lh ijh{kk 2009 )

gy % nwljh la[;k = ds xq.kt x yli

                      igyh la[;k

     è ? =   12 x 1056  = 96  Ans.

                          132

        Note :: dk xq.kt dks eli

        ekudj loky dks gy fd;k gSA

10. nks la[;k;sa 3 % 4 ds vuqikr esa gSaA ;fn budk yli 84 gks ] rks cMh la[;k D;k gS \

              (,l ,l lh ijh{kk 2010)

            

 gy% cMh la[;k=  yli   x cM+k vuqikr         

                vuqikrksa dk xq.kuQy                  

      

     ;k   84 x 4  = 28 ans.

                12

 11- pkj ?kf.V;ka 6 ] 8 ] 12 rFkk 18 lsds.M ds vUrj ij ctrh gSa A ;fn os 12 cts ,d lkFk ctsa ] 

        rks 6 feuV esa os fdruh ckj ,d lkFk ctsaxh \

  gy % 6 ] 8 ] 12 rFkk 18 dk yli = 72 vFkkZr~ gjsd 72 lsd.M ckn os iqu% ,d&lkFk ctsaxh A 

      gekjs ikl 6 feuV vFkkZr~ 6 x 60 = 360 lsds.M gSA vr % 360 esa 72 dk Hkkx nsus ij 5             vk,xk ;gh gekjk mRrj gSA vFkkZr~ ?kf.V;ka 6 feuV esa 5 ckj ,d lkFk ctsaxhA

    

History : Notes :

·        flU/kq ?kkVh lH;rk dk le;	2300 ls 1750 bZLoh iwoZ rd
·        flU/kq ?kkVh lH;rk Fkh	1-dkaL; ;qxhu  2- vk| bfrgkl dkyhu  3- uxjh; lH;rk
·        flU/kq ?kkVh lH;rk dk yksdfiz; uke	gM+Iik lH;rk
·        dikl dh [ksrh djus okyh fo”o dh izFke lH;rk	gM+Iik lH;rk
·        flU/kq ?kkVh lH;rk ds yksxksa dk fiz; i”kq	dwcM+ okyk cSy ¼ o`’kHk ½
·        flU/kq lH;rk ds yksx ifjfpr ugha Fks	1- /kkrqvksa esa yksgk ls  2  tkuojksa esa ?kksM+k vFkkZr~ v”o ls
·        flU/kqokfl;ksa dh fyfi Fkh	Hkko fp=kRed
·        flU/kq lH;rk dk loZizFke LFky	gM+Iik ] ftldh [kkst 1921 esa n;kjke lkguh us dh ] ikfdLrku ds iatko izakr ds eks.Vxqejh ftys esa jkoh unh ds cka;s rV ij fLFkr gS A ;gka iRFkj ds iwtkjh dh ewrhZ feyh gSA
·        eksgutksnM+ks flU/kq lH;rk dk nwljk LFky Fkk	1922 esa jk[kynkl cuthZ us [kkstk A ;g ikfdLrku ds flU/k izkar ds yjdkuk ftys esa flU/kq unh ds nka;s rV ij gS
·        eksgutkscMksa dk “kkfCnd vFkZ D;k gS	e`rdksa dk Vhyk
·        eksgutksnMksa ls D;k&D;k feyk gS	1- o`gr~ Lukukxkj 2- o`gr~ vUukxkj 3- dkaL; urZdh  4- i”kqifr f”ko dh ewfrZ  5- ;gka ds ?kjksa esa dqvksa ds lk{;
·        yksFky flU/kq lH;rk dk iRru ¼ cUnjxkg ½ Fkk	1-xqtjkr esa Hkksxok unh ij fLFkr  2- xksnh ;k xksnhckMk+  3- ;qxy “kok/kku  4- pkoy ,oa gkFkh ds lk{;  5- fcYyh dk ihNk djrs gq, ykseMh dks fn[kk;k x;k gS tks iapra= ds leku gS
·        dkyhcaxk dk “kkfCnd vFkZ & dkyh pwfM+;k	1- jktLFkku ds guqekux< esa ?kX?kj unh ds rV ij fLFkr 2- ?kX?kj & ljLorh & n`’k}rh rhuksa ,d gh gSA 3- lwrh diM+k 4-ydM+h dk gy 5- tqrs [ksr 6-gou dq.M
·        jksiM+ lryt unh ds fdukjs iatkc esa fLFkr Fkk	paMhx< ds ikl
·        pUgwnM+ks flU/kq unh ds rV ij ikfdLrku esa Fkk	1- euds cukus dk dkj[kkuk
·        flU/kq lH;rk dk lcls  mRrjh LFky	ekaMk ¼ d”ehj esa psukc unh ij ½
·        flU/kq lH;rk dk lcls  nf{k.kh LFky	nSekckn ¼ egkjk’V ½
·        flU/kq lH;rk dk lcls  iwohZ   LFky	vkyexhjiqj ¼ esjB ] m-iz ½
·        flU/kq lH;rk dk lcls  if”peh LFky	CywfpLrku ¼ ikd ½
·        flU/kqokfl;ksa dk izeq[k O;olk;	d`f’k ,oa O;kikj
·        flU/kq lH;rk ds ?kj bZaVksa ls curs Fks	dkyhcaxk esa vyad`r bZaVksa dk iz;ksx gqvk
·        /kkSykohjk esa tks xqtjkr esa gS	mUur ty  iz.kkyh ds fy,  izfl)
·        mRd`’V ty izca/ku ;k ty fudkl	eksgutksnM+ks dk Fkk
·        gM+Iik o eksgutksnM+ks dh [kqnkbZ ds izHkkjh	lj tkWu ek”kZy
·        ekuo }kjk iz;qDr dh x;h izFke /kkrq	rkack
·        gM+Iik lH;rk ds yksxksa dk /keZ	1- ekr`nsoh dh mikluk 2- izd`fr iwtk 3- i”kqifr f”ko dh iwtk
·        flU/kq lH;rk dk lekt Fkk	ekr` lRrked
·        flU/kq lH;rk dh jktuSfrd O;oLFkk	iqjksfgr vk/kkfjr
·        flU/kq lH;rk ds yksx Fks	1-Hkwe/;lkxjh;  2- eaxksy  3- uhxzVks 4- izksVks vkWLVksyk;M
·        flU/kq lH;rk dk iru	1- vk;ksZ dk vkØe.k 2- tyok;q ifjorZu 3- ck<+  4- ufn;ksa ds ekxZ esa cnyko
·        oSfnd lH;rk dk dky 1500 ls 600 bZLoh iwoZ Fkk blds nks Hkkx gS &	1- _XoSfnd dky 1500 ls 1000 bZLoh iwoZ Fkk 2- mRrj oSfnd dky 1000 ls 600 bZLoh iwoZ Fkk
·        oSfnd lH;rk ds fuekZrk vk;Z Fks A vk;Z dk vFkZ gS	Js’B dqy dk  vFkok   mPp dqy dk
·        vk;Z e/; ,f”k;k ds fuoklh Fks ] loZekU; er gS	eSDlewyj ¼ teZu fo}ku ½
·        vk;Z frCcr ds ewy fuoklh Fks	Lokeh n;kuan ljLorh ¼ lR;kFkZ izdk”k esa o.kZu fd;k gS ½
·        vk;Z mRrjh /kzo ds ewy fuoklh Fks	yksdekU; cky xaxk/kj fryd¼ n vkdZfVd gkse vkWQ n osnkt½
·        vk;Z loZizFke vkdj cls Fks	vQxkfuLrku  o Hkkjr ds iatkc izakr esa  rFkk mRrj oSfnd dky esa os leLr mRrj Hkkjr esa QSy x;s
·        vk;Z lH;rk xzkeh.k Fkh rFkk izeq[k O;olk; Fkk	i”kqikyu
·        izFke ikyrw i”kq	dqRrk
·        vk;kZ dk fiz; i”kq ?kksM+k Fkk	tcfd flU/kqoklh ?kksM+s ls vufHkK Fks
·        vk;ksZa dk iwtuh; i”kq xk; Fkk	1- xk; dks v?kU;k ekuk tkrk Fkk 2+- xk; oLrq fofue; dk ek/;e Fkh 3- O;fDr dh lEifRr dk lwpd 4- ;q) xk; izkfIr ds fy, gksrs Fks
·        xfof’V “kCn dk iz;ksx ;q) ds fy, gksrk Fkk	xfof’V dk vFkZ gS & xk;ksa dh [kkst
·        oSfnd dky dk lekt	fir` lRrkRed
·        oSfnd ;qx esa izpfyr yksdfiz; “kklu iz.kkyh	x.kra=
·        _XoSfnd vk;ksZa dk loZizeq[k nsork	1- bUnz  2- vfXu  3- o:.k  4- fe=
·        ,f”k;k ekbuj ds cksxktdksbZ vfHkys[k esa of.kZr oSfnd nsork	1- bUnz  2- o:.k 3- fe=  4- uklR;
·        csluxj ¼fofn”kk ½ ds xq:M+ LraHk ys[k dh LFkkiuk ;ou “kkld gasfy;ksMksjl us dh ckS) fHk{kqd ukxlsu ls izHkkfor gksdj	;g Hkkxor /keZ ls lacaf/kr gS
·        mRrj oSfnd vk;ksZa dk loZizeq[k nsork	1- iztkifr 2- fo’.kq  3- :nz
·        _XoSfnd dky esa D;k Fkk	1- i”kqikyu eq[; /ka/kk 2- ;K ljy Fks 3- o.kZ O;oLFkk deZ ij vk/kkfjr Fkh
·        mRrj oSfnd dky esa	1- yksgs dh [kkst  2- ;K [kphZys ,oa i”kqcfy o ujcfy “kq: 3- d`f’k vk/kkfjr O;oLFkk 4- xks= O;oLFkk  5- o.kZ O;oLFkk tUe ij vk/kkfjr gks x;h
·        _XoSfnd dky dh tkudkjh dk ,dek= lzksr	_Xosn
·        mRrj oSfnd dky dh tkudkjh ds lk/ku	oSfnd lkfgR; 1- osn 2- mifu’kn 3- vkj.;d 4- iqjk.k 5- osnkax
·        xk;=h ea= tks _Xosn ds rhljs eaMy esa gS	blds jpf;rk fo”okfe= Fks
·        _Xosn %% 1028 lwDr ¼ nsorkvksa dh Lrqfr esa xk;s tkus okys ea= ;k L=ksr ½ & 10 eaMy & fo”o dk izFke fyf[kr xzaFk & miosn gS vk;qosZn & ea= cksyus okyk _f’k gksrk dgykrk Fkk	1- xk;=h ea= 2- vlrks ek ln~xe; ] relks ek T;ksfrZxe;  _Xosn ls fy;k x;k gS 3- 10 os eaMy ds iq:’k lwDr esa o.kZO;oLFkk dk mYys[k A 4- ;e&;eh dk laokn  5- jktk iq: o moZ”kh dk laokn  6- _Xosn dh cgqr lh ckrsa vosLrk ls feyrh gS tks bZjkuh Hkk’kk dk izkphure xzUFk gSA 7- ewtoar & fgeky; ioZr dh pksVh dk uke gS ftldk mYys[k _Xosn esa feyrk gSA  8- _Xosn esa ljLorh unh dks unhrek dgk x;k gSA 9- ljLorh o n`”k}rh ufn;ksa ds chp okys izns”k dks czãorZ dgk A
·        ;tqosZn %% _Xosn ij vk/kkfjr osn & ea= cksyus okyk _f’k v/o;Zq dgykrk Fkk A “kqDy ;tqoZsn dks oktlus;h lafgrk Hkh dgk tkrk gSA	1-,dek= osn tks x| o i| nksuksa essa gS 2- ;K o deZdk.M dk osn A 3 blds nks Hkkx gS & d`’.k ;tqoZsn o “kqDy ;tqoZsn A 4 d`’.k ;tqoZsn x| o i| nksuksa esa gS tcfd “kqDy ;tqoZsn esa dsoy lwDr gS A
·        lkeosn %% Hkkjrh; laxhr dk izFke xzaFk            & 1603 ;k 1810 _pk,a ysfdu 99 dks NksM+dj vU; lHkh _pk,a _Xosn ls yh x;h  gSA	1- ea= cksyus okyk _f’k mn~xkrk dgykrk Fkk A 2 bldk xk;u lkse;K ds volj ij fd;k tkrk Fkk A
·        osn=;h % izkjaHk ds rhu osn	·        1- _Xosn 2- ;tqosZn  3- lkeosn
·        vFkoZosn %% vFkoZ dk vFkZ gS tknw&Vksuk & lcls ckn dk osn ¼ vr% bls osnkUr Hkh dgrs gS½ & nqjkRekvksa ,oa izrkRekvksa ls eqfDr dk ekxZ crkrk gS	1- ;g ra=&ea= ] o”khdj.k ] nqjkRek o izsrkRek ] rkcht ] rFkk tknw&Vksuk o fpfdRlk ls lacaf/kr osn gSA 2 tulk/kkj.k esa yksdfiz; fo”okl o va/kfo”oklksa dk o.kZu gSA
·        fo”ks’k %& osnkUr mifu’knksa dks dgk tkrk gS	ysfdu vFkoZosn dks dsoy jpuk dky ds dkj.k osnkUr ;k vfUre osn  dgrs gS A
·        nkljkK ;q) & _XoSfnd dky dk izeq[k ;q)	1- ;g iq:’k.kh ¼ jkoh ½ unh ds rV ij gqvk 2- Hkjr tu dk jktk lqnkl fot;h gqvk  3- _Xosn esa Hkh o.kZu gS
·        iqjk.k & ;s 18 gS	1- jktkvksa o nsorkvksa dh oa”kkofy;k
·        vkj.;d & budh jpuk ou esa gqbZ	;s nk”kZfud o jgL;oknh xzaFk gS  rFkk deZdk.Mksa dksbZ mYys[k ugha A ;s czkg~e.kksa ds deZekxZ rFkk mifu’knksa ds KkuekxZ ds chp iqy dk dk;Z djrs gSA
·        mifu’kn & vFkZ gS ikl esa cSBuk & buesa vkRek ]ijekRek ]fo”o dh mRifRr o izd`fr ds jgL; vkfn fo’k;ksa ij fopkj gqvk gSA	1- buesa vk;ksZ dk n”kZu gS  2- ;s 108 gS  3- 12 eq[; gS   4 rRo Kku rFkk vk/;kfRed Kku dk lzksr 5 mifu’knksa dh Hkk’kk lkfgfR;d  laLd`r gSA 6 mifu’knksa esa thou dk y{; eks{k dks crk;k x;k gSA 7 o`gnkj.;d mifu’
·        osnkax & osnksa dks le>us esa lgk;d          & dqy osnkax 6 gS          & dYilw= ds rhu Hkkx gSA      1 lzksr lw= 2 x`g~; lw=  3 /keZlw=	1- T;ksfr’k & [kxksy foKku 2- f”k{kk  & mPpkj.k 3- dYi & /kkfeZd vuq’Bku 4- O;kdj.k & fo”ys’k.k 5- fu:Dr & O;qRifRr 6- NUn   & Nan”kkL=
·        laLdkj & O;fDr ds lokZxh.k fodkl esa lgk;d	1- budh la[;k 16  gS
·        vkJe O;oLFkk & 4 vkJe gksrs Fks	1- czg~ep;Z vkJe 2- x`gLFk vkJe 3- okuizLFk vkJe 4- lU;kl
Ø     ‘kMn”kZu & Hkkjrh; n”kZu dh 6 “kk[kk,a	xkSre _f’k dk  U;k; n”kZu ] d.kkn _f’k dk oS”ksf’kd n”kZu ] dfiy eqfu dk lka[;n”kZu ] iratfy dk ;ksx n”kZu ] tSfeuh dh iwoZ&ehekalk rFkk cknjk;.k dh mRrj ehekalk