Train Class Sheet PDF

Join Telegram- Maths by Aditya Ranjan Questions Based on Train QUESTIONS BASED ON TRAIN (jsyxkM+h ij vk/kfjr iz'u) (CLASSROOM SHEET) BASIC CONCEPT OF TRAIN...

Join Telegram- Maths by Aditya Ranjan Questions Based on Train QUESTIONS BASED ON TRAIN (jsyxkM+h ij vk/kfjr iz'u) (CLASSROOM SHEET) BASIC CONCEPT OF TRAINS 3. Train 1 crosses Train 2 jsyxkM+h laca/h iz'uksa dh ewyHkwr ladYiukD = L1 + L2 S = S1 – S2 (Same Direction)  Distance = Speed × Time S1 + S2 (Opposite Direction) nwjh= pky × le; 4. Train 1 Train 2  Difference between Meeting and Crossing L1 L2 feyus vkSj ikj djus ds chp varj S1 S2 r  Speed/pky Relative Speed/lkis{k pky A person sitting in Train 1 crosses Train 2. S = (SA – SB) [Same Direction] (leku fn'kk) si D = L2 S = (SA + SB) [Opposite Direction] (foijhr fn'kk) S = S1 – S2 an by Distance nj w h Train 1 crosses a person sitting in Train 2. Time = ] le; = Speed pky D = L1 n Generally, Length of the train is given in m and Speed is given in km/hr. S = S1 – S2 lkekU;r% Vªsu dh yEckbZ ehVj esa vkSj pky fdeh@?kaVk esa ja EXERCISE R s nh xbZ gksrh gSA a th So, always focus on the units. TYPE - I vr% lnSo bdkbZ ij è;ku nsaA 1. A train, 364 meters long, passes a pole in 26 Basic points which will help in solving seconds. Find the speed of the train in meters per questions: second. ty a ewyHkwr fcanq tks iz'uksa dks gy djus esa enn djrs gS% 364 ehVj yach ,d jsyxkM+h 26 lsdaM esa ,d aHks dks ikj 1. When a train crosses a man (stationary), djrh gSA jsyxkM+h dh xfr ehVj çfr lsdaM esa Kkr djsaA di M crosses a man walking @ 2km/hr or crosses a man walking @ 10 km/hr. IB ACIO GRADE II 17/01/2024 (Shift-02) tc ,d jsyxkM+h ,d O;fÙkQ (fLFkj) dks ikj djrh gS] 2 (a) 15 m/sec (b) 11 m/sec fdeh@ ?kaVk dh pky ls pyus okys ,d O;fÙkQ dks ikj (c) 14 m/sec (d) 13 m/sec djrh gS ;k 10 fdeh@?kaVk dh pky ls pyus okys ,d 2. The time taken by a 180 m long train running at a speed of 54 km/h to cross a man standing O;fÙkQ dks ikj djrh gSA on the platform is: In every case : D = LT (Length of the train) (jsyxkM+h dh yackbZ) 54 km/h dh xfr ls py jgh 180 m yach jsyxkM+h }kjk IysViQkW Here, D refers to the distance which the train ij [kM+s ,d O;fDr dks ikj djus esa fy;k x;k le; fdruk gS\ has covers extra with respect to the man. SSC CHSL 25/05/2022 (Shift- 2) ;gkaD jsyxkM+h dh nwjh ls lanfHkZr gS tks jsyxkM+h (a) O;fÙkQ 10 Seconds (b) 12 Seconds A ds lanHkZ esa vfrfjÙkQ r; djrh gSA (c) 11 Seconds (d) 9 Seconds 2. Distance covered by the train when the train crosses an object: 3. A train running at the speed of 63 km/h crosses fdlh oLrq dks ikj djus esa jsyxkM+h }kjk r; dh xbZ nwjh a pole in 24 seconds. What is the length of the D = LT + LO train? Where:/tgk¡ 63 km/h dh xfr ls py jgh ,d jsyxkM+h ,d [kEHks dks LT = Length of Train 24 lsd.M esa ikj djrh gSA VSªu dh yECkkbZ D;k gksxh\ LT = jsyxkM+h dh yackbZ SSC CHSL 06/06/2022 (Shift 01) LO = Length of Object (a) 360 m (b) 320 m LO = oLrq dh yackbZ (c) 380 m (d) 420 m Aditya Ranjan (Excise Inspector) Selected gSSa Selection fnyk,xas1 Join Telegram- Maths by Aditya Ranjan Questions Based on Train TYPE - II TYPE - III 4. A goods train 350 m long passes through a tunnel of 10. A train passes a man standing on a platform 1250m in 80 seconds. What is the speed of the train? in 8 seconds and also crosses the platform 350 ehVj yach ,d ekyxkM+h 1250 ehVj yach lqjax ls 80 lsdaM which is 264 metres long in 20 seconds. The length of the train (in metres) is: esa xqtjrh gSA Vªsu dh xfr D;k gS\ ,d jsyxkM+h fdlh IysViQkWeZ ij M+s O;fÙkQ dks 8 ls SSC CPO 04/10/2023 (Shift-3) SSC CGL MAINS 07/03/2023 ikj djrh gS vkSj 264 ehVj yacs IysViQkeZ dks 20 lsdaM (a) 78 km/h (b) 72 km/h esa ikj djrh gSA jsyxkM+h dh yackbZ (ehVj esa) gS% (c) 56 km/h (d) 64 km/h (a) 188 (b) 176 5. A 240 m long train crosses a 360 m long (c) 175 (d) 96 tunnel in 30 seconds. What is the speed of the 11. A 750 metres long train crosses a stationary train (in km/h)? pole in 15 sec. Travelling at the same speed, 240 ehVj yach ,d Vªsu 360 ehVj yach lqjax dks 30 lsdaM easthis train crosses a bridge completely in 25 sec. What is the length of this bridge? ikj djrh gSA Vªsu dh pky (fdeh@?ka Vk esa) D;k\ gS 750 ehVj yach ,d Vªsu ,d fLFkj [kaHks dks 15 lsdaM esa i r SSC CGL 21/04/2022 (Shift-03) (a) 60 (b) 28.8 djrh gSA blh pky ls ;k=kk djrsgq,] ;g Vsªu ,d iqy dks 25 si (c) 72 (d) 43.2 lsdaM esa iwjh rjg ikj dj tkrh gSA iqy dh yackbZ druh gS\ f 6. A 255-m long train is running at a speed of 72 km/h. an by SSC MTS 25/07/2022 (Shift- 3) It crosses a platform of length 745 m in: (a) 1000 m (b) 750 m 255&ehVj yach ,d jsyxkM+h 72 fdeh@?kaVk dh pky ls py (c) 1250 m n (d) 500 m jgh gSA ;g 745 ehVj yackbZ ds ,d IysViQkWeZ dks ------------- esa 1 ikj djsxhA 12. A train running at 40 km/h takes 24 second to ja 2 R s SSC CPO 27/06/2024 (Shift-02) cross a pole. How much time (in second) will it (a) 53 seconds (b) 40 seconds take to pass a 450 m long bridge? a th (c) 50 seconds (d) 51 seconds 7. Rajdhani Express train of length 108 m is running at the 1 speed of 128 km/h. Another train of length 148 m is 40 km/h dh pky ls pyus dh okyh ,d jsyxkM+h ,d standing at the station. In what time will the Rajdhani 2 Express cross the other train? [kEHks dks ikj djus esa 24 lsdaM dk le; ysrh gSA 450 ehV ty a 108 m yach jkt/kuh ,Dlçsl Vªsu 128 km/h. dh pky ls py yacs iqy dks ikj djus esa fdruk le; (lsdaM esa) yxsxk\ jgh gSA 148 m yach ,d vkSj Vªsu LVs'ku ij M+h gSA jkt/kuh SSC CGL 13/08/2021(Shift 03) di M ,Dlçsl nwljh Vªsu dks fdrus le; esa ikj djsxh\ (a) 56 (b) 52 SSC CGL 26/07/2023 (Shift-03) (c) 60 (d) 64 (a) 8 seconds/8 lsdaM (b) 7.5 seconds/7.5 lsdaM TYPE - IV (c) 9 seconds/9 lsdaM (d) 7.2 seconds /7.2 lsdaM 13. Two trains 230 m and 270 m long are running in 8. A train 348 m long is running at a speed of 36 km/hr. It crosses a bridge in 50 seconds. What is the length opposite directions at speeds of 42 km/h and 48 km/h, respectively. They cross each other in: of the bridge? 230 ehVj vkSj 270 ehVj yach nks jsyxkfM+;k¡ Øe'k% 42 fdeh@ 348 ehVj yach ,d jsyxkM+h 36 fdeh@?kaVk dh xfr ls py jgh gSA ;g ,d iqy dks 50 lsdaM esa ikj djrh gSA iqy dh yackbZ vkSj 48 fdeh@?kaVs dh pky ls foijhr fn'kkvksa esa py jgh gS fdruh gS\ os ,d nwljs dks____ esa ikj djsaxhA SSC CPO 28/06/2024 (Shift-01) IB ACIO GRADE II 17/01/2024 (Shift-04) (a) 152 m (b) 146 m (a) 30 seconds/lsoaQM (b) 22 seconds/lsoaQM A (c) 176 m (d) 103 m (c) 20 seconds/lsoaQM (d) 25 seconds/lsoaQM 9. A train crosses a 400 m-long platform in 50 14. Two trains, one 125 metres and the other 375 metres long are running in opposite directions on parallel seconds. It crosses another 600 m-long tracks, at the speed of 81 km/hr and 63 km/hr platform in 60 seconds. What are the length respectively. How much time will they take to cross and the speed of the train each other ? ,d jsyxkM+h 400 m yacs IysViQkWeZ dks 50 lsds.M esa vkSjnks ,d jsyxkM+h ftuesa ls ,d 125 ehVj yach gS vkSj nwljh 375 ehVj ya gS vU; 600 m yacs IysViQkWeZ dks 60 lsds.M esa ikj djrh gSAlekarj iVjh ij ,d&nwljs ds foijhr fn'kk esa 81 fdeh-@?kaVs vkS jsyxkM+h dh yackbZ vkSj pky fdruh&fdruh gS\ 63 fdeh-@?kaVs dh jÝrkj ls py jgh gSA mUgsas ,d&nwljs dks ikj SSC CHSL 31/05/2022 (Shift- 1) esa fdruk le; yxsxk\ SSC CHSL 09/03/2023 (Shift-04) (a) 600 m; 72 km/h (b) 550 m; 75 km/h (a) 25 seconds (b) 15 seconds (c) 500 m; 70 km/h (d) 650 m; 74 km/h (c) 12.5 seconds (d) 22.5 seconds Aditya Ranjan (Excise Inspector) Selected gSSa Selection fnyk,xas2 Join Telegram- Maths by Aditya Ranjan Questions Based on Train 15. Two trains having lengths of 230 m and 240 m (a) 90 km/h (b) 45 km/h are 130 m apart. They start moving towards (c) 54 km/h (d) 36 km/h each other on parallel tracks, at speeds of 160 20. A train x running at 74 km/h crosses another km/h and 200 km/h, respectively. In how train y running at 52 km/h in the opposite much time will the trains cross each other? direction in 12 seconds. If the length of y is 230 m vkSj240 m yEckbZ okyh nks130 Vªsusa m dh nwjh two-thirds that of x , then what is the length ij gSaA os lekukrj iVfj;ksa ij Øe'k% 160 km/h vkSj of x (in m)? 200 km/h dh pky ls ,d&nwljs dh vksj pyuk 'kq: 74 km/h dh pky ls cpus okyh jsyxkM+h x, foijhr djrh gSaA Vsªusa ,d nwljs dks fdrus le; esa ikj djsaxh\ fn'kk esa 52 km/h dh pky ls pyus okyh jsyxkM+h y SSC CHSL 08/06/2022 (Shift- 2) dks 12 lsd.M eas ikj djrh gSA ;fn jsyxkM+h y dh (a) 5 Sec (b) 6 Sec yackbZ] jsyxkM+h x dh yackbZ dh nks&frgkbZ gS] rks jsyxk (c) 8 Sec (d) 7 Sec x dh yackbZm( eas) Kkr djsaA 16. A train of 220 m in length moving at the speed SSC CPO 23/11/2020 (Shift-1) of 72 km/h crosses another train of 230 m length r coming from opposite direction in 9 seconds. The (a) 168 (b) 252 speed of the train (in km/h) is: (c) 210 (d) 200 si 220 ehVj yach ,d jsyxkM+h 72 fdeh@?kaVk dh pky ls py jgh gS vkSj 21. The ratio of lengths of Train A and Train B is foijhr fn'kk ls vk jgh 230 ehVj yach jsyxkM+h dks 9 lsdaM esa ikj2 : 3. The speed of A is 36 km/h and that ofB an by djrh gSA jsyxkM+h dh pky (fdeh@?kaVkfdruh gS\ esa) is 54 km/h. They cross each other completely ICAR Mains, 08/07/2023 (Shift-1) in 10 seconds when travelling in opposite n (a) 108 (b) 120 directions. In how much time (in seconds) does (c) 90 (d) 126 Train B cross completely a tunnel of length ja 17. A 320 m long train completely crosses a 240 m long 450 m? R s train, coming from the opposite direction, in y seconds. If the first train is travelling at the speed VsªuA vkSj Vsªu B dh yackbZ dk vuqikr 2 : 3 gSAA dh a th of 44 km/h and the second train is travelling at 56.8 pky 36 km/h gS vkSj B dh pky 54 km/h gSA foijhr km/h, then what is the value of y? ,d 320 ehVj yach Vªsu foijhr fn'kk ls vk jgh 240 ehVj yach fn'kkvksa esa ;k=kk djrs le;] 10;slsdaM esa ,d nwljs dks Vªsu dks y lsdaM esa iwjh rjg ls ikj dj tkrh gSA ;fn igyh Vªsu iwjh rjg ls ikj djrh gSaA Vsªu B fdrus le; esa (lsdaM ty a 44 fdeh@?kaVk dh xfr ls ;k=kk dj jgh gS vkSj nwljh Vªsu 56-8 esa)450 m yach lqjax dks iwjh rjg ls ikj djsxh\ fdeh@?kaVk dh xfr ls ;k=kk dj jgh gS] y dkrks eku D;k gS\ di M ICAR Assistant 29/07/2022 (Shift- 02) SSC CPO 29/06/2024 (Shift-01) (a) 21 (b) 18 (a) 60 (b) 45 (c) 20 (d) 22 (c) 40 (d) 50 18. Two trains having the same speed are running in 4 opposite directions. If the length of each train is 120 22. The length of Train A is of the length of metres and they cross each other in 8 seconds, then, 5 what is the speed of each train (in km/h)? Train B. The speeds of A and B are 63 km/h leku pky okyh nks jsyxkfM+;k foijhr fn'kkvks esa py jgh gSAand 45 km/h, respectively. Trains A and B take 15 seconds to cross each other ;fn çR;sd jsyxkM+h dh yackbZ 120 ehVj gS vkSj os ,d&nwljs completely when running in opposite dks 8 lsdaM esa ikj djrh gS] rks çR;sd jsyxkM+h dh pky (fdeh@?kaVk directions. How much time (in seconds) will esa) D;k gS\ Train C of length 160 m, running at a speed SSC MTS 12/09/2023 (Shift- 01) of 90 km/h, take to cross Train A when both the trains are running in the same direction? A (a) 60 (b) 45 (c) 50 (d) 54 4 19. Two trains each 200m long are moving in VsªuA dh yackbZ] Vsªu B dh yackbZ dh gSA A vkSj B 5 opposite directions. They cross each other in dh pky Øe'k% 63 km/h vkSj45 km/h gSA foijhr 10 seconds. If the speed of one train is 90km/ fn'kkvksa esa pyrs le; Vsªu A vkSjB ,d nwljs dks iwjh h, find the speed of the other train. rjg ls ikj djus esa 15 lsdaM dk le; ysrh gSaA 90 km/h dh pky ls py jgh 160 m yackbZ okyh Vsªu C, nks Vsªusa] ftuesa ls izR;sd dh200 yackbZ m gS] foijhr VsªuA dks ikj djus esa (tc nksuksa Vsªusa ,d gh fn'kk e fn'kkvksa esa py jgh gSaA os 10 lsd.M esa ,d&nwljs dks py ikjjgh gSa) fdruk le; (lsdaM esa) ysxh\ djrh gSaA ;fn ,d Vsªu dh pky 90 km/h gS] rks nwljh Vsªu ICAR Assistant 29/07/2022 (Shift- 03) dh pky Kkr dhft,A (a) 42 (b) 50 SSC CHSL 25/05/2022 (Shift- 3) (c) 45 (d) 48 Aditya Ranjan (Excise Inspector) Selected gSSa Selection fnyk,xas3 Join Telegram- Maths by Aditya Ranjan Questions Based on Train 23. A train takes 18 seconds to pass through a tunnel (a) 60 meter (b) 50 meter of length 240 m long and 12 seconds to cross (c) 56 meter (d) 52 meters another train of length 270 m long which is moving 28. A train traveling at 70 km/h crosses another train in the opposite direction at a speed of 54 km/h. traveling in the same direction at 34 km/h in 25 The length (in m) of the train is: seconds. What is the combined length of both the trains (in metres)? ,d jsyxkM+h 240 ehVj yach lqjax dks ikj djus18 esalsdaM dk ,d Vªsu70 km/h dh pky ls py jgh gS vkSj leku fn'kk esa 34 le; ysrh gS vkSj foijhr fn'kk esa 54 fdeh@?kaVk dh pky ls py km/h dh pky ls py jgh nwljh Vªsu dks 25 lsdaM esa ikj dj ysrh jgh 270 ehVj yach nwljh jsyxkM+h dks ikj 12 djuslsdaM esa dk gSA nksuksa Vªsuksa dh la;qÙkQ m esa) Kkr yackbZ djsaA( le; ysrh gsA jsyxkM+h dh yackbZ (ehVj esa) fdruh gS\ SSC CGL 18/07/2023 (Shift-03) ICAR Mains, 08/07/2023 (Shift-2) (a) 225 (b) 250 (a) 160 (b) 220 (c) 325 (d) 500 (c) 210 (d) 180 29. Two trains of equal length are running on parallel 24. A train of length 360 metres crosses an electric pole lines in the same direction at the rate of 60 kmph in 30 seconds and crosses another train of the same and 42 kmph. The faster train passes the slower length travelling in opposite direction in 15 seconds. r train in 40 seconds. The length of each train is: What is the speed of the second train? 360 ehVj yach ,d Vªsu fctyh ds [kaHks dks 30 lsdaM esa ikj djrh gSleku yackbZ dh nks Vªsu lekukarj iVfj;ksa ij leku fn'kk 60 esa si vkSj foijhr fn'kk esa ;k=kk dj jgh leku yackbZ dh nwljh Vªsu dks 15fdeh@?kaVk 42vkSj fdeh@?kaVk dh pky ls py jgh gSA rst pky lsdaM esa ikj djrh gSA nwljh Vªsu dh xfr D;k gS\ an by okyh Vªsu] /heh pky dh Vªsu40 dks lsdaM esa ikj dj tkrh gSA SSC CHSL 16/03/2023 (Shift-02) izR;sd Vªsu dh yackbZ Kkr dhft,A n (a) 12 m/s (b) 36 m/s ICAR Mains, 08/07/2023 (Shift-3) (c) 24 m/s (d) 60 m/s (a) 120 m (b) 104 m TYPE - V ja (c) 100 m (d) 112 m 25. R s Two trains, 140 m and 120 m in length, are running in the same direction at the speed of 60 30. Two trains are running on parallel tracks in a th km/h and 78 km/h, respectively. In how much the same direction at the speed of 80 km/h time will they completely cross each other? and 90 km/h, respectively. The trains crossed 140 ehVj vkSj 120 ehVj yach nks jsyxkfM+;k¡ Øe'k% 60 fdeh@?kaVk each other in 3 minutes. If the length of one vkSj 78 fdeh@?kaVk dh pky ls ,d gh fn'kk eas py jgh gSaAtrain is 230 m, then what is the length (in m) ty a fdrus le; esa os ,d nwljs dks iwjh rjg ls ikj dj ysaxh\ of the other train? SSC CPO 29/06/2024 (Shift-01) nks Vªsusa lekukarj iVfj;ksa ij ,d gh fn'kk esa Øe'k% 80 fdeh@ di M (a) 52 seconds (b) 58 seconds vkSj 90 fdeh@?kaVk dh pky ls py jgh gSaA Vªsusa 3 feu (c) 48 seconds (d) 65 seconds 26. Two trains P and Q of lengths 320 meter and 540 ,d nwljs dks ikj djrh gSaA ;fn ,d Vªsu dh yackbZ 230 ehVj meter, respectively, are running in the same direction gS] rks nwljh Vªsu dh yackbZ (ehVj esa) D;k gS\ on parallel tracks at 108 km/h and 144 km/h, respectively. How much time will the trains take to SSC CGL 21/04/2022 (Shift-02) cross each other completely? (a) 270 (b) 300 Øe'k%320 eh- vkSj540 eh- dh yackbZ okyh nksPVªsusavkSj Q (c) 250 (d) 230 lekukarj iVfj;ksa ij Øe'k% 108 fdeh/?kaVs vkSj 144 fdeh/?kaVs31. Train X of Length 350 m long crosses an 850 meter dh pky ls ,d gh fn'kk esa py jgh gSaA Vªsusa ,d nwljs dks iwjh rjg 1 long bridge in 1 minutes. How much time ls ikj djus esa fdruk le; ysaxh\ 3 (in minutes) will it take to completely cross a 250 SSC CGL 18/07/2023 (Shift-01) m long train Y, running at a speed of 42 km/h A (a) 86 s (b) 54 s in the same direction? (c) 32 s (d) 68 s 1 350 ehVj yach Vªsu ,d 850 ehVj yacs iqy dksfeuV 1 esa ikj 27. On parallel tracks, two trains of equal lenght are 3 moving at speeds of 46 and 36 kilometers per hour in djrh gSA fdruk le; gS (feuVksa esa) D;k leku fn'kk esa 42 the same direction. In 36 second, the quicker train fdeh@?kaVk dh xfr ls py jgh 250 ehVj yachYVªsu dks iwjh rjg overtakes the slower one. The length of each train is: ls ikj djus esa le; yxsxk\ lekukarj iVfj;ksa ij] leku yackbZ dh nks Vªsusa ,d gh fn'kk ICAR Mains, 07/07/2023 (Shift-2) esa 46 vkSj 36 fdyksehVj çfr ?kaVs dh xfr ls py jgh gSaA 36(a) 4 (b) 3 1 lsdaM esa] rst Vªsu /heh Vªsu ls vkxs fudy tkrh gSA çR;sd Vªsu 2 dh yackbZ gS% 2 (c) 3 (d) 2 SSC CHSL 07/08/2023 Shift-01 3 Aditya Ranjan (Excise Inspector) Selected gSSa Selection fnyk,xas4 Join Telegram- Maths by Aditya Ranjan Questions Based on Train TYPE - VI 35. Two trains of lengths 250 metres and 200 32. Two trains of equal length crosses each other metres run on parallel tracks. When running in same direction in 1 min and in opposite in the same direction, the faster train crosses direction in 10 sec. Find the speed (in km/hr) the slower one in 37.5 seconds. When running of trains. in opposite directions at speeds the same as leku yackbZ dh nks jsyxkM+h ,d gh fn'kk esa pyrs gq, 1their earlier speeds, they pass each other feuV esa vkSj foijhr fn'kk esa pyrs gq, 10 lsd.M esa completely in 7.5 seconds. Then the ratio of ,d&nwljs dks ikj djrh gSA nksuksa jsyxkM+h dh pky (fdeh@?kaVs the speeds of the faster train to the slower esa) Kkr djsaA train is: (a) 60, 72 250 ehVj vkSj 200 ehVj yach nks jsyxkfM+;ka lekukarj iVf (b) 60, 54 ij pyrh gSA leku fn'kk esa pyus ij rst jsyxkM+h] /heh jsyxkM+ (c) 54, 48 dks 37-5 lsdaM esa ikj dj tkrh gSA viuh fiNyh pkyksa ds leku (d) Cannot be determined r pky ls foijhr fn'kkvksa esa pyus ij os 7-5 lsdaM esa ,d&nwljs 33. Train A running at 81 km/h takes 72 sec to dks iwjh rjg ls ikj dj tkrh gSA rst jsyxkM+h dh pky dk] / si overtake train B, when both the trains are running in the same direction, but it takes heh jsyxkM+h dh pky ls vuqikr fdruk gS\ an by 36 sec to cross each other if the trains are ICAR Mains, 10/07/2023 (Shift-2) running in the opposite direction. If the length (a) 3 : 2 (b) 5 : 4 n of train B is 600 metres, then find the length (c) 4 : 3 (d) 6 : 5 of train A. (in metres) TYPE - VII ja R s 81 km/h dh pky ls pyus okyh VªsuA, VsuB ls 36. Two trains of equal length cross a pole in 5 vkxs fudyus esa 72 sec dk le; rc ysrh gS] tc sec and 7 sec respectively. In what time they a th will cross each other going in same direction nksuksa Vªsusa ,d gh fn'kk esa py jgh gksrh gSa] ysfdu ;fn nks leku yackbZ dh jsyxkM+h ,d [kaHks dks Øe'k% 5 lsd Vªsusa foijhr fn'kk esa py jgh gS] rks ,d&nwljs dks ikj vkSj 7 lsd.M esa ikj djrh gSA leku fn'kk esa pyrs gq, os djus esa36 sec dk le; ysrh gSaA ;fn Vsªu B dh yackbZ ty a ,d&nwljs dks fdrus le; esa ikj djsxh\ 600 ehVj gS] rks Vªsu A dh yackbZ Kkr djsaA (ehVj esa) (a) 35 sec (b) 30 sec di M SSC CGL 13/12/2022 (Shift- 03) (c) 20 sec (d) 32 sec 37. Two trains of length 160 m and 180 m (a) 600 (b) 480 respectively cross a pole in 5 sec and 6 sec (c) 590 (d) 900 respectively. In what time they will cross each 34. The lengths of two trains are 380 m and 220 m. other going in same direction? The faster of these two trains takes 20 seconds to nks jsyxkM+h ftldh yackbZ Øe'k% 160 ehVj vkSj 180 eh overtake the other, when travelling in same gS fdlh [kaHks dks Øe'k% 5 lsd.M vkSj 6 lsd.M esa ikj direction. The trains take 12 seconds to cross each djrh gSA leku fn'kk esa pyrs gq, os ,d&nwljs dks fdrus other, when travelling in opposite directions. What le; esa ikj djsxh\ is the speed (in km/h) of the faster train? (a) 150 sec (b) 160 sec nks Vªsuksa dh yackbZ 380 ehVj vkSj 220 ehVj gSA ,d gh (c) fn'kk 170 sec (d) 180 sec A esa ;k=kk djrs le; bu nksuksa Vªsuksa esa ls rst xfr ls pyus 38. okyh Two trains having same length cross an nwljh Vªsu dks ikj djus esa 20 lsdaM dk le; yxrk gSA electric pole in 27 sec. and 24 sec. respectively. Then in how much time they will foijhr fn'kkvksa esa ;k=kk djrs le; Vªsusa ,d nwljs dks ikjcross each other if they are moving in opposite djus esa 12 lsdaM dk le; ysrh gSaA rst Vªsu dh xfr direction. (fdeh@?kaVk esa) D;k gS\ leku yEckbZ dh nks jsyxkM+h fctyh ds ,d EHks dks Øe'k% 27 lsdaM vkSj 24 lsdaM esa ikj djrh gSA rks fdru le; esa os ,d nwljs dks ikj djsaxh ;fn os foijhr fn'kk SSC PHASE IX 2022 esa py jgh gSA (a) 108 (b) 126 (a) 22.6 sec (b) 25.4 sec (c) 144 (d) 90 (c) 28.2 sec (d) 30.8 sec Aditya Ranjan (Excise Inspector) Selected gSSa Selection fnyk,xas5 Join Telegram- Maths by Aditya Ranjan Questions Based on Train 39. Two trains cross a man standing on a platform dh pky ls pyus okyh jsyxkM+h x km/h 300 m yacs in 27 sec and 17 sec respectively while in op- IysViQkWeZ 30 dks lsd.M esa ikj djrh gS vkSj mlh fn'kk posite direction crosses each other in 23 sec. esa6 km/h dh pky ls py jgs O;fDr dks 20 lsd.M Find ratio of speed of the trains? esa vksojVsd djrh gSA x dk eku Kkr djsaA nks jsyxkM+h fdlh IysViQkWeZ ij [kM+s ,d O;fDr dks Øe'k% SSC CPO 24/11/2020 (Shift-2) 27 lsd.M vkSj 17 lsd.M esa ikj djrh gS tcfd foijhr (a) 60 (b) 96 fn'kk esa pyrs gq, ,d&nwljs dks 23 lsd.M esa ikj djrh (c) 48 (d) 102 gSA jsyxkM+h ds pky dk vuqikr Kkr dhft,A 44. A 234 m long train passes a person running at 9 km/h in the opposite direction, in 6 seconds. In (a) 2 : 1 (b) 1 : 3 how much time (in seconds) will it pass another (c) 3 : 5 (d) 3 : 2 person who is moving at 23.4 km/h, in the same 40. Two trains cross a man standing in a platform direction? in 18 sec and 24 sec. While crosses each other 234 m yach ,d Vªsu foijhr fn'kk esa 9 km/h dh pky ls coming from opposite direction in 20 sec. Find py jgs ,d O;fÙkQ dks 6 lsdaM esa ikj dj tkrh gSA Vªsu leku ratio of speed of the trains. fn'kk esa 23.4 km/h dh pky ls py jgs ,d vU; O;fDr r dks fdrus le; esa (lsdaM esa) ikj dj ysxh\ nks jsyxkM+h fdlh IysViQkWeZ ij [kM+s ,d O;fDr dks Øe'k% si 18 lsd.M vkSj 24 lsd.M esa ikj djrh gS tcfd foijhr SSC CPO 29/06/2024 (Shift-02) fn'kk esa pyrs gq, ,d&nwljs dks 20 lsd.M esa ikj djrh (a) 8 (b) 7.8 an by (c) 7.2 (d) 8.4 gSA jsyxkM+h ds pky dk vuqikr Kkr dhft,A 45. Two trains are moving in the same direction at 60 n (a) 3 : 2 (b) 4 : 3 km/h and 42 km/h. The faster train crosses a man (c) 2 : 1 (d) 3 : 1 in the slower train in 36 seconds. Find the length ja of the faster train. TYPE - VIII R s nks jsyxkfM+;k¡ 60 fdeh@?kaVs vkSj 42 fdeh@?kaVs dh pk gh fn'kk esa py jgh gSaA rst pyus okyh jsyxkM+h] /heh pyu a th 1 41. If a train 130 m long takes 6 seconds to cross a 2 okyh jsyxkM+h esa cSBs ,d O;fDr dks 36 lsdaM esa ikj djrh man who is walking at 12 km/h in the same direction rst pyus okyh jsyxkM+h dh yackbZ Kkr dhft,A in which the train going, then the speed of the train SSC CPO 28/06/2024 (Shift-03) ty a (in km/h) is: (a) 185 m (b) 180 m 1 (c) 195 m (d) 175 m ;fn 130 ehVj yach Vªsu ,d O;fÙkQ dks ikj djus 6 esa di M 2 46. A 50 m long train crosses a man sitting in lsdaM ysrh gS tks 12 fdeh@?kaVk dh xfr ls mlh fn'kk esa py another train going in same direction in 10 jgk gS ftl fn'kk esa Vªsu tk jgh gS] rks Vªsu dh xfr sec. If speed of first train is 40 km/hr then find speed of second train. (fdeh@?kaVk esa) gS% 50 ehVj yach dksbZ jsyxkM+h mlh fn'kk esa tk jgs fd SSC CHSL 04/08/2023 (Shift-02) (a) 84 (b) 64 nwljh jsyxkM+h esa cSBs fdlh O;fDr dks 10 lsd.M esa (c) 48 (d) 74 djrh gSA ;fn igyh jsyxkM+h dh pky 40 fdeh@?kaVk g 42. A 252 m long train is running at a speed of 125 km/ rks nwljh jsyxkM+h dh pky Kkr dhft,A h. What is the time (in seconds) in which it will pass (a) 18 km/hr (b) 20 km/hr a man who starts from the engine running at the (c) 21 km/hr (d) 22 km/hr speed of 17 km/h in the same direction as that of the train? 47. Train A which was travelling at 50 km/h crosses train B travelling in opposite direction in 15 A 252 ehVj yach ,d Vªsu 125 fdeh@?kaVk dh xfr ls py jgh gSA seconds. If the length of train B is three times og le; (lsdaM esa) D;k gS ftlesa ;g Vªsu ds leku fn'kk esa 17 the length of A and the speed of train B was 58 fdeh@?kaVk dh xfr ls pyus okys batu ls pyus okys O;fÙkQ dks km/h, then the length of train A(in m) is: ikj dj tk,xh\ VªsuA tks 50 fdeh@?kaVk dh xfr ls py jgh Fkh] foijhr SSC CGL 27/07/2023 (Shift-03) fn'kk esa py jgh Vªsu B dks 15 lsdaM esa ikj djrh gSA (a) 7.6 (b) 8 ;fn VªsuB dh yackbZA dh yackbZ dh rhu xquh gS vkSj (c) 8.4 (d) 6.4 VªsuB dh xfr 58 fdeh@?kaVk Fkh] rks A Vªsu dh yackbZ 43. A train travelling at the speed of x km/h crossed (ehVj esa) D;k gS\ a 300 m long platform in 30 seconds, and overtook SSC CGL TIER II (12/09/2019) a man walking in the same direction at 6 km/h (a) 150 (b) 112.5 in 20 seconds. What is the value of x? (c) 210 (d) 124.5 Aditya Ranjan (Excise Inspector) Selected gSSa Selection fnyk,xas6 Join Telegram- Maths by Aditya Ranjan Questions Based on Train 48. A 250 m-long train passes a man going at a (a) 40 m (b) 45 m speed of 10 km/h, in the opposite direction, (c) 50 m (d) 55 m in 9 seconds. How much time (in seconds) will 52. A train passes two persons walking with speed the train take to overtake a 200 m-long train of 5 m/s and 10 m/s in 6 seconds and 5 completely, running at a speed of 63 km/h seconds respectively. Both persons are walking in the same direction? in opposite direction train. Find the length of ,d 250 m yach Vsªu 10 km/hr dh pky ls foijhr train? fn'kk esa tk jgs ,d O;fDr dks 9 lsdaM esa ikj djrh ,d jsyxkM+h 5 eh@ls ,oa 10 eh@ls dh pky ls py jgs gSA blh Vsªu dks leku fn'kk 63esa km/hr dh pky ls nks O;fÙkQ;ksa dks Øe'k% 6 lsds.M ,oa 5 lsds.M esa ikj py jgh 200 m yach Vsªu dks iwjh rjg ls ikj djus esa ysrh gSA ;s nksuksa O;fÙkQ jsyxkM+h ds foijhr fn'kk fdruk le; (lsdaM esa) yxsxk\ jgs gSaA xkM+h dh yEckbZ crk,¡\ ICAR Assistant 29/07/2022 (Shift- 01) (a) 125 m (b) 150 m (a) 40 (b) 60 r (c) 160 m (d) 170 m (c) 45 (d) 50 si 49. A 150 m long train crosses a man sitting in 53. A train passes two persons walking in the same another train coming from opposite direction directions as of train at a speed of 3 km/hr and an by in 5 sec. If speed of another train is 60 km/ 5 km/hr respectively in 10 seconds and 11 hr then find time taken by first train to cross seconds respectively. The speed of the train is n 250 m long platform. ,d jsyxkM+h leku fn'kk esa] 3 fdeh@?kaVk vkSj 5 fdeh@ 150 ehVj yach dksbZ jsyxkM+h foijhr fn'kk esa tk jgs fdlh nwljh jsyxkM+h esa cSBs fdlh O;fDr dks 5 lsd.M esa dh ikj pky ls pyus okys nks O;fÙkQ;ks dks Øe'k% 10 lsdaM ja R s djrh gSA ;fn nwljh jsyxkM+h dh pky 60 fdeh@?kaVk gks vkSj 11 lsdaM esa ikj djrh gSA jsyxkM+h dh pky gS% a th rks igyh jsyxkM+h }kjk 250 ehVj yEcs IysViQkWeZ dks (a) ikj 28 km/hr (b) 27 km/hr djus esa fy;k x;k le; Kkr dhft,A (c) 25 km/hr (d) 24 km/hr (a) 20 sec (b) 25 sec 54. A train crosses two persons travelling at 4 km/ (c) 30 sec (d) 35 sec ty a h and 6 km/h in the same direction in 12sec 50. Trains P and Q are running in the same direction and 14 sec, respectively. The speed of the on parallel tracks with speeds of x km/h and 90 km/ di M train is ________. h (90 > x), respectively. The faster train passes a man ,d Vªsu mlh fn'kk eas 4 km/h vkSj 6 km/h dh sitting in the slower train in 30 seconds. If the length of train Q is 225 m, then what is the value of x ? pky ls py jgs nks O;fDr;ksa dks Øe'k% 12 sec vkSj VªsuP vkSjQ lekukarj iVfj;ksa ij ,d gh fn'kk esa Øe'k% x 14 sec esa ikj dj tkrh gSA Vªsu dh pky Kkr dhft,A fdeh@?kaVk vkSj 90 fdeh@?kaVk dh pky ls py jgh (90gSa tgka SSC CPO 11/09/2022 (Shift - 02) > x) gSA rst pky ls pyus okyh Vªsu /heh pky ls ls pyus (a) 18 km/h (b) 26 km/h okyh Vªsu esa cSBs ,d O;fDr dks 30 lsdaM esa ikj djrh gSA ;fn (c) 20 km/h (d) 24 km/h Vsªsu Q dh yackbZ 225 ehVj gS]x dk rkseku D;k gksxk\ 55. A train running at 48 km/h crosses a man SSC PHASE IX 2022 going with the speed of 12 km/h, in the same (a) 65 (b) 60 direction, in 18 seconds and passes a woman A (c) 68 (d) 63 coming from the opposite direction in 12 TYPE - IX seconds. The speed (in km/h) of the woman is: 51. A train crosses two cyclists in same direction 48 fdeh@?kaVk dh pky ls pyrh jsyxkM+h mlh fn'kk e in 12 seconds and 15 seconds respectively. 12 fdeh@?kaVk dh pky ls pyrs O;fDr dks 18 lsdaM esa Speed of cyclists are 18 km/hr and 21 km/hr ikj djrh gS vkSj foijhr fn'kk esa pyrh efgyk dks 12 respectively. Length of train is : lsdaM esa ikj djrh gSA efgyk dh pky (fdeh@?kaVk) e Kkr djsaA ,d jsyxkM+h leku fn'kk esa] 18 fdeh@?kaVk vkSj 21 fdeh@?kaVk SSC CGL 23/08/2021(Shift 03) dh pky l s pyus okys nks lkbZfdy pkydksa dks Øe'k% 12 (a) 8 (b) 9 lsdaM vkSj 15 lsdaMikjesa djrh gSA jsyxkM+h dh yackbZ gS% (c) 6 (d) 10 Aditya Ranjan (Excise Inspector) Selected gSSa Selection fnyk,xas7 Join Telegram- Maths by Aditya Ranjan Questions Based on Train TYPE - X nks jsyxkfM+;ksa dh xfr dk vuqikr 7%9 gSA os leku 56. A 240m long train X passes a pole in 18 seconds iVfj;ksa ij foijhr fn'kkvksa esa py jgh gSaA igyh jsyxkM and completely crosses another train Y running at ,d [kEHks dks 4 lsdaM esa ikj djrh gS tcfd nwljh jsyxkM+ a speed of 72 km/h in the opposite direction in 21 mlh [kEHks dks 6 lsdaM esa ikj djrh gSA jsyxkfM+;k seconds. How much time (in seconds) will train Y take to completely cross a 140m long train Z ,d&nwljs dks iwjh rjg ls ikj djus esa yxus okyk le; running at a speed of 42 km/h in the same Kkr dhft,\ direction? 2 1 (a) 4sec. (b) 4 sec. 240 ehVj yach jsyxkM+h X fdlh [kaHks dks 18 lsdaM esa ikj djrh 7 8 gSA vkSj 72 fdeh@izfr ?kaVk dh pky ls foijhr fn'kk ls vkus 2 1 (c) 5 sec. (d) 5 sec. okyh ,d nwljh jsyxkM+h Y dks 21 lsdaM esa ikj djrh gSA jsyxkM+h 7 8 Y 42 fdeh@izfr ?kaVk dh pky ls leku fn'kk esa nkSM+ 140 jgh TYPE - XI ehVj yach jsyxkM+h Z dks ikj djus esa fdruk le; ysxhA 60. A man could see 400 m during fog when he ICAR Mains, 07/07/2023 (Shift-1) was moving with 4 Km/hr, he saw a train r (a) 68 (b) 65 coming from behind & disappeared in 3 (c) 72 (d) 70 minute if the length of train is 200 m, find si 57. Train A, running at a speed of 48 km/h, passes a the speed of the train? pole in 24 seconds and completely passes a 280 ,d O;fÙkQ dksgjs ds nkSjku 400 ehVj ns ldrk gS tc og an by m long train B in 18 seconds. Train B is running in the opposite direction of train A. In how much 4 fdeh@?kaVk ls pyrk gS rks mlus ns k fd ,d jsyxkM+h time (in minutes) will train B completely cross ihNs ls vkrh gS vkSj 3 feuV esa xk;c gks tkrh gS ;fn jsyxkM n Train C of length 220 m running at a speed of 52 km/h in the same direction? dh yackbZ 200 ehVj gS] rks jsyxkM+h dh pky Kkr djsa\ (a) 20 km/hr (b) 24 km/hr ja 48 fdeh@?kaVk dh pky ls pyrh gqbZ ,d jsyxkM+h A, ,d [kaHks dks R s (c) 30 km/hr (d) 40 km/hr 24 lsdaM esa ikj djrh gS vkSj 280 ehVj yach jsyxkM+h B dks 18 61. A train crosses a man going along the railway lsdaM esa iwjh rjg ls ikj djrh gSA jsyxkM+h B, jsyxkM+h A ds a th track at 6 Km/hr. The man could see the train foijhr fn'kk esa py jgh gSA jsyxkM+hB, leku fn'kk esa 52 upto 2 minute and find the speed of the train fdeh@?kaVk dh pky ls py jgh 220 ehVj yach jsyxkM+h C dks if at the time of disappearance the distance fdrus le; esa (feuVksa esa) ikj dj ysxh\ between train to man was 1200 metre & length ty a ICAR Mains, 07/07/2023 (Shift-3) of train is 300 metre ? (a) 2 (b) 1 6 fdeh@?kaVk dh pky ls tk jgs fdlh O;fÙkQ dks leku di M 1 1 fn'kk esa gh pyrh gqbZ ,d jsyxkM+h ikj djrh gSA O;fÙ (c) 1 (d) 1 jsyxkM+h dks 2 feuV rd ns ldrk gS vkSj ;g mldks 4 2 58. The speeds of two trains are in the ratio 3 : 1200 eh rd fn kbZ nsrh gSA ;fn jsyxkM+h dh yEckbZ 30 4. They are going in opposite directions along eh gks] rks jsyxkM+h dh pky crk,a\ parallel tracks. If each takes 3 seconds to cross (a) 39 km/hr (b) 45 km/hr a telegraph post, find the time taken by the (c) 51 km/hr (d) 57 km/hr trains to cross each other completely? TYPE - XII nks jsyxkfM+;ksa dh xfr dk vuqikr 3%4 gSA os62. lekukarj A train is travelling with a speed of 54 kmph iVfj;ksa ij foijhr fn'kkvksa esa tk jgh gSaA ;fn çR;sd jsyxkM+h to reach its destination in 6 hours, but after dks fdlh [kEHks dks ikj djus esa 3 lsdaM yxrs gSa] rks reaching 20% of the distance, the engine fails A jsyxkfM+;ksa }kjk ,d&nwljs dks iwjh rjg ls ikj djus esa due to which the train gets delayed by 33 minutes. By how much percentage does the yxus okyk le; Kkr dhft,\ driver need to increase the train’s speed to (a) 3 sec. (b) 4 sec. reach the destination on time (correct to two (c) 5 sec. (d) 6 sec. decimal places)? 59. The speeds of two trains are in the ratio 7 : ,d Vªsu 6 ?kaVs esa vius xarO; LFkku rd igq¡pus ds fy, 54 9. They are moving on the opposite directions fdeh çfr ?kaVs dh xfr ls ;k=kk dj jgh gS] ysfdu 20» nwjh on parallel tracks. The first train crosses a r; djus ds ckn] batu foiQy gks tkrk gS ftlds dkj.k Vªsu telegraph pole in 4 seconds whereas the 33 feuV dh nsjh ls pyrh gSA le; ij xarO; LFkku rd second train crosses the pole in 6 seconds. igq¡pus ds fy, Mªkboj dks Vªsu dh xfr esa fdrus çfr'kr dh Find the time taken by the trains to cross each o`f¼ djus dh vko';drk gS (nks n'keyo LFkkuksa rd lgh)\ other completely. CRPF HCM 28/02/2023 (Shift - 01) Aditya Ranjan (Excise Inspector) Selected gSSa Selection fnyk,xas8 Join Telegram- Maths by Aditya Ranjan Questions Based on Train (a) 11.54% (b) 12.94% 65. A train starts from Delhi at 8:00 am. After 6 (c) 10.96% (d) 10.24% Hrs. there was a breakdown in the train, due 63. A train met with an accident 120 km from 2 to which it travels of its normal speed and station A. It completed the remaining journey 3 hence becomes 40 mins late. If the breakdown 5 occurred 200 km farther then it would have at of its previous speed and reached 2 hours 6 reached its destination 30 min late. Find the late at station B. Had the accident taken place distance covered by the train ? 300 km further, it would have been only 1 , d jsyxkM+h fnYyh ls lqcg 8%00 cts pyuk çkjaHk djrh hour late. What is the speed of the train? gSA 6 ?kaVs ckn] jsyxkM+h esa ,d czsdMkmu gqvk ftld LVs'kuA ls 120 fdeh nwj ,d Vªsu nq?kZVukxzLr gks xbZA blus 2 5 ;g viuh lkekU; pky ds ls ;k=kk djrh gS vkSj blfy, viuh fiNyh xfr ds ij 'ks"k ;k=kk iwjh dh vkSj LVs'ku 40 feuV nsjh ls igq¡prh3gSA ;fn czsdMkmu 200 fdyksehV 6 B ij 2 ?kaVs nsjh ls igqaphA vxj nq?kZVuk 300 fdeh vkxs vkSj nwj gqvk gksrk rks ;g 30 feuV nsjh ls vius xarO; gksrh] rks ;g dsoy 1 ?kaVk nsj gksrh Vªsu dh xfr D;k gS\ rd igqap tkrhA jsyxkM+h }kjk r; dh xbZ nwjh Kkr dhft,\ r (a) 100 km/h (b) 120 km/h (a) 2800 km (b) 3600 km si (c) 60 km/h (d) 50 km/h (c) 4400 km (d) 5200 km 64. A train meets with an accident after travelling 66. A man starts from his home to his office with an by 4 30 kms, after which it moves with of its a certain speed but after 1 hr. meets with an 5 accident & resumes his journey after 1 Hr and original speed and arrives at the destination n 45 minute late. Had the accident occurred 18 becomes 1 hr 36 min late due to reducing his kms farther, it would have reached 9 minute 5 earlier. Find the distance of the journey and speed to. If the accident had occurred after ja 6 R s original speed of the train. 50 Km then he will be late by 1 Hr 20 min. , d jsyxkM+h dh 30 fdyksehVj dh ;k=kk djus ds ckn Find the distance from home to office? a th nq?kZVukxzLr gks tkrh gS] ftlds ckn og viuh ewy pky, d O;fÙkQ ,d fuf'pr pky ls vius ?kj ls vius nÝrj ds 4 ds lkFk pyrh gS vkSj 45 feuV nsjh ls xarO; ij ds fy, fudyrk gS] ysfdu 1 ?kaVs ds ckn] mlds lkFk ,d 5 nq?kZVuk gksrh gS vkSj og viuh ;k=kk 1 ?kaVs ds ck igqaprh gSA ;fn nq?kZVuk 18 fdyksehVj vkSj vkxs gqbZ gksrh] ty a 5 djrk gS vkSj viuh pky dks rd de djus ds dkj.k rks ;g 9 feuV igys igqap tkrhA ;k=kk dh nwjh vkSj jsyxkM+h 6 dh ewy pky Kkr dhft,\ 1 ?kaVs 36 feuV nsjh ls igqaprk gSA ;fn nq?kZVuk 50 fdy di M (a) 120 km, 25 km/hr ds ckn ?kfVr gksrh] rks og 1 ?kaVs 20 feuV nsjh ls igqap (b) 125 km, 25 km/hr ?kj ls nÝrj dh nwjh dk irk yxk,a\ (c) 130 km, 30 km/hr (a) 112.5 km (b) 150 km (d) 120 km, 30 km/hr (c) 187.5 km (d) 225 km ANSWER KEY 1.(c) 2.(b) 3.(d) 4.(b) 5.(c) 6.(c) 7.(d) 8.(a) 9.(a) 10.(b) A 11.(d) 12.(d) 13.(c) 14.(c) 15.(b) 16.(a) 17.(c) 18.(d) 19.(c) 20.(b) 21.(c) 22.(d) 23.(c) 24.(b) 25.(a) 26.(a) 27.(b) 28.(b) 29.(c) 30.(a) 31.(c) 32.(d) 33.(b) 34.(c) 35.(a) 36.(a) 37.(c) 38.(b) 39.(d) 40.(c) 41.(a) 42.(c) 43.(b) 44.(c) 45.(b) 46.(d) 47.(b) 48.(b) 49.(c) 50.(d) 51.(c) 52.(b) 53.(c) 54.(a) 55.(c) 56.(c) 57.(d) 58.(a) 59.(d) 60.(b) 61.(c) 62.(b) 63.(c) 64.(d) 65.(c) 66.(b) Aditya Ranjan (Excise Inspector) Selected gSS aSelection fnyk,xas9