cuLf ylu MxtV rmjufNl suJe Mv"tobf vhettytubtk gJM:; ;igthe yrlJtgo Au

;tsu;hbtk SBI/ ’ult cuLf / ftuvtuohuNl cpLf / ELzgl ytuJhme cuLf, cuLf ytpV bnthtx[ ;:t yjntct’ cuLfbtk fjtfole ;:t MxtV rmjufNl frbNlle mufNl ytprVmh (ftubmo yturzx) / fuL mhfthbtk vtujem mc ELMvufxh btxule CPO Exam ;:t ;tsu;hbtk rm :guj mufNl yturVmh (yturzx)le sgtytu btxu ;:t ’ult cuLf / ftuvtuohuNl cuLf/ yntct’ cuLf ;:t cuLf ytpV bnthtx[btk tucuhe yturVmmo ;ubs LIC yturVmmole c s btuxe mkgtbtk Ch;e ykdule nuht;tu rm :guj Au / :Nu. yt Wvhtk; yLg cuLftule fjtfo ;ubs tucuNlhe yturVmmole Ch;e ykdule nuht;tu rm :Jtle Au yt fthle vhettytubtk mV :Jt btxu gtug btdo’Nolle sYh hnuNu. yt vhettytu ftujus vhettytu fh;tk sw’t s fthle Au fthK fu -

(1) Mfwj/ ftujusle vhettytubtk Minimum Mark lu yt"thu vtm :Jtg Au. gthu Mv"tobf vhettytubtk Merit lu yt"thu vmk’de :tg Au. su:e c s Qkk vrhKtb buJe Nf;t Wbu’Jthtule vmk’de :tg Au. ;:t

(2) ftujusle vhettytult vtbtk 3 fjtfltu mbg ytvJtbtk ytJu Au. gthu yt fthle Mv"tobf Ch;e vhettytubtk bgtor’; mbg ytvJtbtk ytJu Au. ;u:e mkKo vtlt W•thtu ytve Nft;t l:e. vtltu fuxjtuf Ctd ctfe s hne g Au. yt nfef; ykdu su ftuE Wbu’Jthtuyu yuf cu JF; vhett ytvuj ntug ;ublu belu yt ykdu Kfthe buJe juJe rn;tJn Au fu su:e ytvKtu gl mtae r’Ntltu cltJe Nfeyu.

yt fthle vhettytubtk mV :Jt btxu tult W•thtu buJJtle vr;btk c’jtJ jtJJtle sYh Au. chbtk b;t M;ftubtk c;tJuje vr;:e W•thtu buJJtbtk J vz;tu mbg Jvhtg Au ;:t atufmtE sJt;e l:e. DKt c"t Wbu’Jthtuyu tK-ath JF; yt fthle vhett ytvuj ntug A;tk vK W•teKo :E Nf;t l:e. tK-ath vhett ytgt ct’ yublu mbg Au fu ;uytu su vr;:e ;igthe fhe htt Au. ;u vr; mV;t yvtJu ;uJe l:e. yt vrhM:r;btk mti Wbu’Jthtulu btdo’Nol btxu fuxjtf lBlt tult chbtk b;t M;ftule vr; ylu gthct’ Logical Short-Cut Method le vr; ytvuj Au. ytb Logical Short-Cut Method :e atufmtE ylu zv J"u Au ylu ;u vr; Bscle m;; uxm:e mV;t btxultu btdo ytmtl clu Au.

tK:e ath Jto Ch;e vhettytu btxultu glfhe yu ;tu s vtm :Jtg yu btLg;t j Chuje Au. gtug btdo’Nol, Logical Short-Cut-Method ylu rlgrb; bnul; rJlt vtm :k yN Au. tk;tu leau Bsc Au &

Q. 1. Two trains A & B Start at the same time from Aligarth and Delhi and Procced towards each other at 16 kmph and 21 kmph respectively. When they meet it is found that train B have travelled 60 km more than the train A. The distance between thetwo station is.....

Solution 1 :

Suppose they meet after x hours

then21 x - 16 x = 60 or

x = 12

Required distance = (21 x 12 + 16 x 12) km

= 444 km. Ans.

Soultion 2 :

"thtu fu cu MxuNl JauLk fwj yk;h 16 + 21 = 37 km ntug ;tu A yluB 1 fjtfbtk 37 km Lk yk;h k fhNu. yt ’hrbgtl A ylu B yu ftvujt yk;h Jaultu ;VtJ; 21 - 6 = 5 km Au. btk ytgt Bsc A ylu B yu ftvujt yk;hltu ;VtJ; 60 km Au. yuxju fu

5 km yk;hltu ;VtJ; - 37 km yk;h ftvJt:e bu Au.

60 rfbe yk;hltu ;VtJ; = ? km yk;h ftvJt:e bNu.

37 x 60

5 = 444 km

Q. 2. If a man walks at 6 kmph he reaches office intime. If he walks at 5 kmph he reaches office 10 minute late. Find the distance between house and office.

Solution 1 : Let required distance : x km

then x - x = 10 or x = 5 km.

5 6 60

Solution 2 : "thtu fu Dh:e yturVm JauLk yk;h30 rf.be. Au. ( 6 ylu 5 ltu jmty ju;tk),yt 30 rfbeLk yk;h 6 kmph le zv:e ftveyu ;tu 5 fjtf jtdNu ;:t 5 kmph le zv:e ftveyu ;tu 6 fjtf jtdNu.

ytb yt 30 rf.be.Lk yk;h 5 kmphle zvu ftv;tk rlg; mbg (5 fjtf fh;tk) 1 fjtf (60 rbrlx) btuzu:e vntukau Au.

ytb 1 fjtf(60 rbrlx) btuzu:e vntukau Au, gthu Dh:e yturVmLk yk;h30 rfbe Au.

u 10 rbrlx btuzu:e vntukau ;tu Dh:e yturVmLk yk;h ? rfbe =

rbrlx rfbe

60 30

10 ?

30 x 10 = 5 rfbe Ans.

ytb yt fthle vhettytubtk c s xqkftdttle ;igthe:e mV;t buJJt btxu Logical Short-cut-Methods yrlJtgo clu Au. yt fthle Logical Short-Cut-Method :e tuLk Solution orally y:Jt yuft’-cu Mxuv:e ytmtle:e Supeedy yluAccurate cluAu. su:e vhettbtk mV;tle ;ftu QCe :tg Au. yt fthle LogicalShort-cut-Method jFelu mbJJt fh;tk Orally ytmtle:e mbJe Nftg Au. yt:e yu btxu fjtm Yb ftuad Wvhtk; lJe r’nelt rJgt; ftNltule ftuBvrxNl ykdult M;ftu ylu dtEztu Wvh:e m;; ;igthe fhJt:e s mV;t buJe Nfu Au.