SSC CGL Previous Year Questions (2023-18): Pipe and Cistern | SSC CGL Mathematics Previous Year Paper (Topic-wise) PDF Download

 Page 1


 Pinnacle  Day: 59th  Pipe and Cistern 
 Pipe and Cistern 
 Pipes  and  Cisterns  are  just  an 
 application  of  Time  and  Work.  Concept 
 wise,  it  is  one  and  the  same.  In  the  above 
 proportionality,  E?ciency  is  replaced  by 
 Rate  of  ?lling.  The  equation  in  this  case 
 becomes 
 Rate of ?lling  ? 
    1 
 ????????     ??????????    
 The  concept  of  the  percentage  of  work 
 done  can  be  used  to  solve  most  of  the 
 related questions. 
 A  few  basic  points  one  needs  to  know  to 
 use  the  percentage  concept  are:  When  it 
 is  said  that  someone  has  done  a  work,  it 
 means  he  has  done  100  %  of  the  work. 
 Hence,  if  A  ?nishes  work  in  4  days,  it 
 means-  in  4  days  he  will  do  100%  of  the 
 work.  Hence,  in  one  day  he  ?nishes  25% 
 (100/4)  of  the  work.  Similarly,  in  3  days 
 he ?nishes 75 % of the work. 
 The  complete  work  can  also  be 
 considered  as  1  unit.  Then  if  A  takes  4 
 days  to  ?nish  a  work,  it  means  he  can 
 ?nish 1/4th of the work in 1 day. 
 Illustrations: 
 Here  are  some  basic  questions  to 
 illustrate time and work shortcut tricks. 
 E?ciency  and  Time  taken  are  inversely 
 proportional  implies  that  If  A  is  twice  as 
 good  as  B  then  A  will  take  half  the  Time 
 that B will take. 
 If  the  e?ciencies  are  in  the  ratio  m  :  n 
 then  Time  taken  will  be  in  the  ratio,  n  :  m. 
 i.e.  If  A  is  thrice  as  good  as  B  then  A  will 
 take (1/3)rd of the Time. 
 This  can  be  proved  with  the  help  of  the 
 following proportionality 
 E?ciency  ? 
    1 
 ????????     ??????????    
 MDH formula 
 MDH  formula  is  used  to  compare  the 
 works  of  the  same  nature  done  at  two 
 different  times  using  different 
 manpower.  The  MDH  formula  can  be 
 represented as 
 Where,  M  =  denotes  the  number  of 
 men/women,  D  =  denotes  the  number  of 
 days,  H  =  denotes  the  number  of  hours  in 
 a  day,  E  =  denotes  the  e?ciency  of  1 
 man, and W = denotes part of work done 
 Variety Questions 
 Q.1.  Two  pipes  can  ?ll  a  cistern  in  12 
 hours  and  16  hours,  respectively.  The 
 pipes  are  opened  simultaneously  and  it  is 
 found  that  due  to  leakage  at  the  bottom, 
 it  takes  90  minutes  more  to  ?ll  the 
 cistern.  How  much  time  will  the  leakage 
 take to empty the completely ?lled tank ? 
 SSC CPO 04/10/2023 (3rd Shift) 
 (a) 39  h  (b) 36  h 
 13 
 49 
 29 
 49 
 (c) 37  h  (d) 38  h 
 15 
 49 
 10 
 49 
 Q.2.  An  inlet  pipe  can  ?ll  an  empty  tank  in 
 3.6  hours,  while  an  outlet  pipe  can  drain  a 
 completely-?lled  tank  in  6.3  hours.  If  both 
 the  pipes  are  opened  simultaneously 
 when  the  tank  is  empty,  in  how  many 
 hours will the tank get completely ?lled ? 
 SSC CPO 04/10/2023 (1st Shift) 
 (a) 8.7  (b) 8.1  (c) 9.0  (d) 8.4 
 Q.3.  5  pipes  are  required  to  ?ll  a  tank  in  1 
 hour  and  40  minutes.  How  long  (in 
 minutes)  will  it  take  to  ?ll  the  same  tank 
 if 4 pipes of the same type are used? 
 SSC MTS 11/09/2023 (2nd Shift) 
 (a) 115  (b) 150     (c) 125     (d) 140 
 Q.4.  An  inlet  pipe  can  ?ll  an  empty  tank  in 
 51  hours  while  an  outlet  pipe  drains  a 
 completely-?lled  tank  in  76.5  hours.  If 
 both  the  pipes  are  opened 
 simultaneously  when  the  tank  is  empty, 
 in  how  many  hours  will  the  tank  get 
 completely ?lled ? 
 SSC CHSL 08/08/2023 (1st Shift) 
 (a) 178.5  (b) 127.5    (c) 102     (d) 153 
 Q.5.  Two  pipes  S1  and  S2  alone  can  ?ll 
 an  empty  tank  in  15  hours  and  20  hours 
 respectively.  Pipe  S3  alone  can  empty 
 that  completely  ?lled  tank  in  40  hours. 
 Firstly  both  pipes  S1  and  S2  are  opened 
 and  after  2  hour  pipe  S3  is  also  opened. 
 In  how  much  time(in  hrs)  tank  will  be 
 completely ?lled after S3 is opened? 
 SSC CGL 21/07/2023 (2nd shift) 
 (a)  (b)  (c)  (d) 
 90 
 17 
 89 
 12 
 90 
 13 
 92 
 11 
 Q.6.  An  inlet  pipe  can  ?ll  an  empty  tank 
 in  140  hours  while  an  outlet  pipe  drains  a 
 completely-?lled  tank  in  63  hours.  If  8 
 inlet  pipes  and  y  outlet  pipes  are  opened 
 simultaneously,  when  the  tank  is  empty, 
 then  the  tank  gets  completely  ?lled  in 
 105 hours. Find the value of y. 
 SSC CGL 14/07/2023 (3rd shift) 
 (a) 1  (b) 4  (c) 2  (d) 3 
 Q.7.  There  are  three  taps  of  diameter  2 
 cm,  3  cm  and  4  cm,  respectively.  The 
 ratio  of  the  water  ?owing  through  them  is 
 equal  to  the  ratio  of  the  square  of  their 
 diameters.  The  biggest  tap  can  ?ll  an 
 empty  tank  alone  in  81  min.  If  all  the  taps 
 are  opened  simultaneously,  then  how 
 long  will  the  tank  take  (in  min)  to  be 
 ?lled? 
 SSC CGL Tier II (02/03/2023) 
 (a) 34  (b) 64  (c) 54  (d) 44 
 20 
 29 
 20 
 29 
 20 
 29 
 20 
 29 
 Q.8.  Pipe  A  can  ?ll  an  empty  tank  in  30 
 hours  and  B  can  ?ll  it  in  10  hours.  Due  to 
 a  leakage  in  the  tank,  it  takes  pipes  A  and 
 B  together  1.5  hours  more  to  ?ll  it 
 completely  that  it  would  have  otherwise 
 taken.  What  is  the  time  taken  by  the 
 leakage  alone  to  empty  the  same  tank 
 completely,  starting  when  the  tank  is 
 completely full ? 
 SSC MTS 22/07/2022 (Evening) 
 (a) 42 hr  (b) 40 hr   (c) 36 hrs   (d) 45 hr 
 Q.9.  A  tank  is  to  be  ?lled  completely  with 
 water  for  which  8  pipes  of  the  same  kind 
 are  used.  The  tank  gets  ?lled  in  1  hour 
 and  40  minutes.  If  10  pipes  of  the  same 
 kind,  as  mentioned  above  are  used,  in 
 how  much  time  (in  hours  and  minutes) 
 will the tank be completely ?lled? 
 SSC MTS 22/10/2021(Morning) 
 (a) 1 hour 30 minutes 
 (b) 1 hour 20 minutes 
 (c) 1 hour 45 minutes 
 (d) 2 hours 5 minutes 
 Q.10.  There  are  two  water  taps  in  a  tank 
 which  can  ?ll  the  empty  tank  in  12  hours 
 and  18  hours  respectively.  It  is  seen  that 
 there  is  a  leakage  point  at  the  bottom  of 
 the  tank  which  can  empty  the  completely 
 ?lled  tank  in  36  hours.  If  both  the  water 
 taps  are  opened  at  the  same  time  to  ?ll 
 the  empty  tank  and  the  leakage  point 
 was  repaired  after  1  hour,  then  in  how 
 much  time  the  empty  tank  will  be 
 completely ?lled? 
 SSC CGL 17/08/2021(Afternoon) 
 (a) 7 hours 12 min    (b) 8 hours 24 min 
 (c) 7 hours  (d) 7 hours 24 min 
 Q.11.  Two  pipes  A  and  B  can  ?ll  a  cistern 
 in  12  hours  and  25  hours,  respectively. 
 1 
 2 
 The  pipes  are  opened  simultaneously 
 and  it  is  found  that  due  to  a  leakage  at 
 the  bottom,  It  took  1  hour  and  40  minutes 
 more  to  ?ll  the  cistern.  When  the  cistern 
 is  full,  in  how  much  time  (in  hrs)  will  the 
 leak empty the cistern? 
 SSC CPO 25/11/2020(Evening) 
 (a) 42  (b) 48  (c) 45  (d) 50 
 Q.12.  Pipe  A  and  B  ?ll  a  tank  in  43.2 
 minutes  and  108  minutes,  respectively, 
 www.ssccglpinnacle.com                                                 Download Pinnacle Exam Preparation App 400
Page 2


 Pinnacle  Day: 59th  Pipe and Cistern 
 Pipe and Cistern 
 Pipes  and  Cisterns  are  just  an 
 application  of  Time  and  Work.  Concept 
 wise,  it  is  one  and  the  same.  In  the  above 
 proportionality,  E?ciency  is  replaced  by 
 Rate  of  ?lling.  The  equation  in  this  case 
 becomes 
 Rate of ?lling  ? 
    1 
 ????????     ??????????    
 The  concept  of  the  percentage  of  work 
 done  can  be  used  to  solve  most  of  the 
 related questions. 
 A  few  basic  points  one  needs  to  know  to 
 use  the  percentage  concept  are:  When  it 
 is  said  that  someone  has  done  a  work,  it 
 means  he  has  done  100  %  of  the  work. 
 Hence,  if  A  ?nishes  work  in  4  days,  it 
 means-  in  4  days  he  will  do  100%  of  the 
 work.  Hence,  in  one  day  he  ?nishes  25% 
 (100/4)  of  the  work.  Similarly,  in  3  days 
 he ?nishes 75 % of the work. 
 The  complete  work  can  also  be 
 considered  as  1  unit.  Then  if  A  takes  4 
 days  to  ?nish  a  work,  it  means  he  can 
 ?nish 1/4th of the work in 1 day. 
 Illustrations: 
 Here  are  some  basic  questions  to 
 illustrate time and work shortcut tricks. 
 E?ciency  and  Time  taken  are  inversely 
 proportional  implies  that  If  A  is  twice  as 
 good  as  B  then  A  will  take  half  the  Time 
 that B will take. 
 If  the  e?ciencies  are  in  the  ratio  m  :  n 
 then  Time  taken  will  be  in  the  ratio,  n  :  m. 
 i.e.  If  A  is  thrice  as  good  as  B  then  A  will 
 take (1/3)rd of the Time. 
 This  can  be  proved  with  the  help  of  the 
 following proportionality 
 E?ciency  ? 
    1 
 ????????     ??????????    
 MDH formula 
 MDH  formula  is  used  to  compare  the 
 works  of  the  same  nature  done  at  two 
 different  times  using  different 
 manpower.  The  MDH  formula  can  be 
 represented as 
 Where,  M  =  denotes  the  number  of 
 men/women,  D  =  denotes  the  number  of 
 days,  H  =  denotes  the  number  of  hours  in 
 a  day,  E  =  denotes  the  e?ciency  of  1 
 man, and W = denotes part of work done 
 Variety Questions 
 Q.1.  Two  pipes  can  ?ll  a  cistern  in  12 
 hours  and  16  hours,  respectively.  The 
 pipes  are  opened  simultaneously  and  it  is 
 found  that  due  to  leakage  at  the  bottom, 
 it  takes  90  minutes  more  to  ?ll  the 
 cistern.  How  much  time  will  the  leakage 
 take to empty the completely ?lled tank ? 
 SSC CPO 04/10/2023 (3rd Shift) 
 (a) 39  h  (b) 36  h 
 13 
 49 
 29 
 49 
 (c) 37  h  (d) 38  h 
 15 
 49 
 10 
 49 
 Q.2.  An  inlet  pipe  can  ?ll  an  empty  tank  in 
 3.6  hours,  while  an  outlet  pipe  can  drain  a 
 completely-?lled  tank  in  6.3  hours.  If  both 
 the  pipes  are  opened  simultaneously 
 when  the  tank  is  empty,  in  how  many 
 hours will the tank get completely ?lled ? 
 SSC CPO 04/10/2023 (1st Shift) 
 (a) 8.7  (b) 8.1  (c) 9.0  (d) 8.4 
 Q.3.  5  pipes  are  required  to  ?ll  a  tank  in  1 
 hour  and  40  minutes.  How  long  (in 
 minutes)  will  it  take  to  ?ll  the  same  tank 
 if 4 pipes of the same type are used? 
 SSC MTS 11/09/2023 (2nd Shift) 
 (a) 115  (b) 150     (c) 125     (d) 140 
 Q.4.  An  inlet  pipe  can  ?ll  an  empty  tank  in 
 51  hours  while  an  outlet  pipe  drains  a 
 completely-?lled  tank  in  76.5  hours.  If 
 both  the  pipes  are  opened 
 simultaneously  when  the  tank  is  empty, 
 in  how  many  hours  will  the  tank  get 
 completely ?lled ? 
 SSC CHSL 08/08/2023 (1st Shift) 
 (a) 178.5  (b) 127.5    (c) 102     (d) 153 
 Q.5.  Two  pipes  S1  and  S2  alone  can  ?ll 
 an  empty  tank  in  15  hours  and  20  hours 
 respectively.  Pipe  S3  alone  can  empty 
 that  completely  ?lled  tank  in  40  hours. 
 Firstly  both  pipes  S1  and  S2  are  opened 
 and  after  2  hour  pipe  S3  is  also  opened. 
 In  how  much  time(in  hrs)  tank  will  be 
 completely ?lled after S3 is opened? 
 SSC CGL 21/07/2023 (2nd shift) 
 (a)  (b)  (c)  (d) 
 90 
 17 
 89 
 12 
 90 
 13 
 92 
 11 
 Q.6.  An  inlet  pipe  can  ?ll  an  empty  tank 
 in  140  hours  while  an  outlet  pipe  drains  a 
 completely-?lled  tank  in  63  hours.  If  8 
 inlet  pipes  and  y  outlet  pipes  are  opened 
 simultaneously,  when  the  tank  is  empty, 
 then  the  tank  gets  completely  ?lled  in 
 105 hours. Find the value of y. 
 SSC CGL 14/07/2023 (3rd shift) 
 (a) 1  (b) 4  (c) 2  (d) 3 
 Q.7.  There  are  three  taps  of  diameter  2 
 cm,  3  cm  and  4  cm,  respectively.  The 
 ratio  of  the  water  ?owing  through  them  is 
 equal  to  the  ratio  of  the  square  of  their 
 diameters.  The  biggest  tap  can  ?ll  an 
 empty  tank  alone  in  81  min.  If  all  the  taps 
 are  opened  simultaneously,  then  how 
 long  will  the  tank  take  (in  min)  to  be 
 ?lled? 
 SSC CGL Tier II (02/03/2023) 
 (a) 34  (b) 64  (c) 54  (d) 44 
 20 
 29 
 20 
 29 
 20 
 29 
 20 
 29 
 Q.8.  Pipe  A  can  ?ll  an  empty  tank  in  30 
 hours  and  B  can  ?ll  it  in  10  hours.  Due  to 
 a  leakage  in  the  tank,  it  takes  pipes  A  and 
 B  together  1.5  hours  more  to  ?ll  it 
 completely  that  it  would  have  otherwise 
 taken.  What  is  the  time  taken  by  the 
 leakage  alone  to  empty  the  same  tank 
 completely,  starting  when  the  tank  is 
 completely full ? 
 SSC MTS 22/07/2022 (Evening) 
 (a) 42 hr  (b) 40 hr   (c) 36 hrs   (d) 45 hr 
 Q.9.  A  tank  is  to  be  ?lled  completely  with 
 water  for  which  8  pipes  of  the  same  kind 
 are  used.  The  tank  gets  ?lled  in  1  hour 
 and  40  minutes.  If  10  pipes  of  the  same 
 kind,  as  mentioned  above  are  used,  in 
 how  much  time  (in  hours  and  minutes) 
 will the tank be completely ?lled? 
 SSC MTS 22/10/2021(Morning) 
 (a) 1 hour 30 minutes 
 (b) 1 hour 20 minutes 
 (c) 1 hour 45 minutes 
 (d) 2 hours 5 minutes 
 Q.10.  There  are  two  water  taps  in  a  tank 
 which  can  ?ll  the  empty  tank  in  12  hours 
 and  18  hours  respectively.  It  is  seen  that 
 there  is  a  leakage  point  at  the  bottom  of 
 the  tank  which  can  empty  the  completely 
 ?lled  tank  in  36  hours.  If  both  the  water 
 taps  are  opened  at  the  same  time  to  ?ll 
 the  empty  tank  and  the  leakage  point 
 was  repaired  after  1  hour,  then  in  how 
 much  time  the  empty  tank  will  be 
 completely ?lled? 
 SSC CGL 17/08/2021(Afternoon) 
 (a) 7 hours 12 min    (b) 8 hours 24 min 
 (c) 7 hours  (d) 7 hours 24 min 
 Q.11.  Two  pipes  A  and  B  can  ?ll  a  cistern 
 in  12  hours  and  25  hours,  respectively. 
 1 
 2 
 The  pipes  are  opened  simultaneously 
 and  it  is  found  that  due  to  a  leakage  at 
 the  bottom,  It  took  1  hour  and  40  minutes 
 more  to  ?ll  the  cistern.  When  the  cistern 
 is  full,  in  how  much  time  (in  hrs)  will  the 
 leak empty the cistern? 
 SSC CPO 25/11/2020(Evening) 
 (a) 42  (b) 48  (c) 45  (d) 50 
 Q.12.  Pipe  A  and  B  ?ll  a  tank  in  43.2 
 minutes  and  108  minutes,  respectively, 
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 Pinnacle  Day: 59th  Pipe and Cistern 
 Pipe  C  can  empty  it  at  3  litres  per  minute. 
 When  all  the  three  pipes  are  opened 
 together,  they  will  ?ll  the  tank  in  54 
 minutes.  The  capacity  (in  litres)  of  the 
 tank is : 
 SSC CGL Tier II (15/11/2020) 
 (a) 160  (b) 180  (c) 216  (d) 200 
 Q.13.  Pipe  A  can  ?ll  a  tank  of  capacity 
 350  litres  in  3  minutes.  Pipe  B  can  ?ll 
 1 
 2 
 a  tank  of  capacity  780  litres  in  8 
 2 
 3 
 minutes.  What  time  (in  min)  will  it  take  to 
 ?ll  a  tank  of  capacity  1615  litres  when 
 both pipes are opened together? 
 SSC CPO 13/12/2019(Evening) 
 (a) 7  (b) 8  (c) 9  (d) 8 
 1 
 2 
 1 
 2 
 Q.14.  Pipes  A  and  B  can  empty  a  full  tank 
 in  18  hours  and  24  hours,  respectively. 
 Pipe  C  alone  can  ?ll  the  tank  in  36  hours. 
 If  the  tank  is  full  and  all  the  three 
 5 
 6 
 pipes  are  opened  together,  then  in  how 
 many hours will the tank be emptied? 
 SSC CPO 13/12/2019(Morning) 
 (a) 10.5  (b) 12.5  (c) 10  (d) 12 
 Q.15.  A  tank  is  ?lled  in  4  hours  by  three 
 pipes  A,B  and  C.  The  pipe  is  twice  as 
 fast  as  B  and  pipe  B  is  thrice  as  fast  as 
 A.  How  much  time  (in  hrs)  will  pipe  A 
 alone take to ?ll the tank ? 
 SSC CPO 12/12/2019 (Evening) 
 (a) 25  (b) 40  (c) 30  (d) 32 
 Q.16.  Pipes  A  and  B  are  emptying  pipes 
 and  can  empty  a  tank  in  6  hours  and  16 
 hours  respectively.  C  is  a  ?lling  pipe.  All 
 the  three  pipes  were  opened  together. 
 They  took  80  minutes  to  empty  th  of 
 5 
 18 
 the tank. Pipe C alone can ?ll the tank in: 
 SSC CPO 12/12/2019 (Morning) 
 (a) 36 hours  (b) 42 hours 
 (c) 48 hours  (d) 40 hours 
 Q.17.  Pipes  A  and  B  together  can  ?ll  an 
 empty  tank  in  6  minutes.  If  A  takes  3 
 2 
 3 
 minutes  more  than  B  to  ?ll  the  tank,  then 
 the  time  (in  minutes)  in  which  A  alone 
 would ?ll one-third part of the tank is ? 
 SSC CPO 11/12/2019 (Evening) 
 (a) 6  (b) 5  (c) 5.5  (d) 4.5 
 Q.18.  Pipes  A  and  B  are  ?lling  pipes 
 while  C  is  an  emptying  pipe.  A  and  B  can 
 ?ll  a  tank  in  72  and  90  minutes 
 respectively.  When  all  the  three  pipes  are 
 opened  together,  the  tank  gets  ?lled  in  2 
 hours.  A  and  B  are  opened  together  for 
 12  minutes,  then  closed  and  C  is  opened. 
 The tank will be empty (in min) after : 
 SSC CGL TIER II (13/09/2019) 
 (a) 15  (b) 18  (c) 12  (d) 16 
 Q.19.  Pipes  A  and  B  can  ?ll  a  tank  in  16 
 hours  and  24  hours,  respectively,  and 
 pipe  C  alone  can  empty  the  full  tank  in  ?? 
 hours.  All  the  pipes  were  opened 
 together  at  10.30  a.m.,  but  C  was  closed 
 at  2:30  p.m.  If  the  tank  was  full  at  8:30 
 p.m.  on  the  same  day,  then  what  is  the 
 value of  ?  ?? 
 SSC CGL TIER II (12/09/2019) 
 (a) 64  (b) 48  (c) 45  (d) 96 
 Q.20.  Pipes  A,  B  and  C  can  ?ll  a  tank  in 
 30h,  40  h  and  60  h  respectively.  Pipes  A, 
 B  and  C  are  opened  at  7  a.m.,  8  a.m.,  and 
 10  a.m.,  respectively  on  the  same  day. 
 When will the tank be full? (in p.m.) 
 SSC CGL TIER II (11/09/2019) 
 (a) 10.00   (b) 10.20   (c) 9.20  (d) 9.40 
 Q.21.  A  pipe  can  ?ll  a  tank  in  18  hours.  In 
 how  much  time  (in  hours)  will  another 
 pipe  operating  at  one  -  third  the  e?ciency 
 of  the  ?rst  pipe  ?ll  a  tank  whose  capacity 
 is 50% of that of the ?rst tank? 
 SSC MTS 19/08/2019 (Morning) 
 (a) 36  (b) 21  (c) 45  (d) 27 
 Q.22.  An  inlet  pipe  A  originating  from  a 
 river  can  ?ll  a  reservoir  in  30  days.  And 
 an  outlet  pipe  B,  which  is  capable  of 
 emptying  the  completely  ?lled  reservoir 
 in  50  days,  drains  out  the  water  from  the 
 reservoir  to  an  irrigation  canal.  The  pipes 
 are  opened  on  alternate  days  starting 
 with  A.  On  which  day  from  the  beginning 
 will  the  reservoir  get  completely  ?lled  for 
 the ?rst time ? 
 SSC MTS 05/08/2019 (Morning) 
 (a)75th  (b)147th   (c)150th   (d)  74th 
 Q.23.  Pipes  A  and  B  can  ?ll  a  tank  in  one 
 hour  and  two  hours  respectively  while 
 pipe  C  can  empty  the  ?lled  up  tank  in  one 
 hour  and  ?fteen  minutes.  A  and  C  are 
 turned  on  together  at  9  a.m.  After  2 
 hours,  only  A  is  closed  and  B  is  turned 
 on. When will the tank be emptied ? 
 SSC CGL 06/06/2019 (Morning) 
 (a) 12:10 p.m.  (b) 11:30 a.m. 
 (c) 10:30 a.m.  (d) 12:20 p.m. 
 Q.24.  One  tap  can  ?ll  a  tank  in  3  hours 
 and  a  leak  can  empty  it  in  5  hours.  If  the 
 tap  and  the  leak  (which  was  half  closed) 
 were  left  open,  how  long  (in  hrs)  will  it 
 take for the tank to ?ll ? 
 SSC CPO 16/03/2019 (Morning) 
 (a) 4  (b) 5  (c) 6  (d) 7 
 2 
 7 
 1 
 3 
 2 
 3 
 1 
 2 
 Q.25.  Two  pipes  A  and  B  ?ll  tank  in  20 
 min  and  30  min.  respectively.  If  A  is  kept 
 open  for  only  th  of  the  total  time  and  A 
 1 
 5 
 and  B  are  kept  open  for  remaining  time; 
 then  how  much  time  is  taken  by  both 
 pipes to ?ll the tank. 
 SSC CPO 15/03/2019 (Evening) 
 (a) 16  (b) 13  (c) 13  (d) 16 
 5 
 23 
 1 
 23 
 5 
 23 
 1 
 23 
 Q.26.  One  -  fourth  of  a  tank  can  be  ?lled 
 in  3  hours  by  pipe  A  and  one-third  of  the 
 same  tank  can  be  ?lled  in  2  hours  by  pipe 
 B.  How  long  will  it  take  for  the  tank  to  be 
 ?lled if both pipes are kept open ? 
 SSC CPO 14/03/2019 (Morning) 
 (a) 5 h  (b) 2 h  (c) 4 h  (d) 2  h 
 1 
 2    
 Practice Questions 
 SSC CHSL 2023 Tier - 2 
 Q.27.  Two  pipes  can  ?ll  a  cistern 
 separately  in  36  minutes  and  45  minutes, 
 respectively.  A  waste  pipe  can  drain  off 
 40  litres  per  minute.  If  all  the  three  pipes 
 are  opened,  the  cistern  ?lls  in  one  hour. 
 The capacity (in litres of the cistern) is: 
 SSC CHSL Tier II  10/01/2024 
 (a) 600  (b) 1200  (c) 300  (d) 400 
 SSC CGL 2023 Tier - 1 
 Q.28.  Inlet  Pipes  A  and  B  can  together 
 ?ll  an  empty  tank  in  1.5  hours.  Outlet 
 Pipe  C,  when  opened  alone,  can  empty 
 the  completely  ?lled  tank,  in  4.5  hours. 
 When  only  Pipes  A  and  C  are  opened 
 together,  the  empty  tank  is  ?lled  in  6 
 hours.  Find  the  time  taken  by  Pipe  B, 
 when  opened  alone,  to  ?ll  the  empty 
 tank. 
 SSC CGL 19/07/2023 (2nd shift) 
 (a) 3 hours 30 minutes 
 (b) 3 hours 36 minutes 
 (c) 3 hours 32 minutes 
 (d) 3 hours 40 minutes 
 Q.29.  An  inlet  pipe  can  ?ll  an  empty  tank 
 in  120  hours  while  an  outlet  pipe  drains  a 
 completely-?lled  tank  in  54  hours.  If  8 
 inlet  pipes  and  3  outlet  pipes  are  opened 
 simultaneously,  when  the  tank  is  empty, 
 then  in  how  many  hours  will  the  tank  get 
 completely ?lled ? 
 SSC CGL 20/07/2023 (1st shift) 
 (a) 81  (b) 96  (c) 72  (d) 90 
 Q.30.  An  inlet  pipe  can  ?ll  an  empty  tank 
 in  hours  while  an  outlet  pipe  drains  a  4 
 1 
 2 
 completely  ?lled  tank  in  hours.  The  7 
 1 
 5 
 tank  is  initially  empty,  and  the  two  pipes 
 are  alternately  opened  for  an  hour  each, 
 till the tank is completely ?lled, starting 
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Page 3


 Pinnacle  Day: 59th  Pipe and Cistern 
 Pipe and Cistern 
 Pipes  and  Cisterns  are  just  an 
 application  of  Time  and  Work.  Concept 
 wise,  it  is  one  and  the  same.  In  the  above 
 proportionality,  E?ciency  is  replaced  by 
 Rate  of  ?lling.  The  equation  in  this  case 
 becomes 
 Rate of ?lling  ? 
    1 
 ????????     ??????????    
 The  concept  of  the  percentage  of  work 
 done  can  be  used  to  solve  most  of  the 
 related questions. 
 A  few  basic  points  one  needs  to  know  to 
 use  the  percentage  concept  are:  When  it 
 is  said  that  someone  has  done  a  work,  it 
 means  he  has  done  100  %  of  the  work. 
 Hence,  if  A  ?nishes  work  in  4  days,  it 
 means-  in  4  days  he  will  do  100%  of  the 
 work.  Hence,  in  one  day  he  ?nishes  25% 
 (100/4)  of  the  work.  Similarly,  in  3  days 
 he ?nishes 75 % of the work. 
 The  complete  work  can  also  be 
 considered  as  1  unit.  Then  if  A  takes  4 
 days  to  ?nish  a  work,  it  means  he  can 
 ?nish 1/4th of the work in 1 day. 
 Illustrations: 
 Here  are  some  basic  questions  to 
 illustrate time and work shortcut tricks. 
 E?ciency  and  Time  taken  are  inversely 
 proportional  implies  that  If  A  is  twice  as 
 good  as  B  then  A  will  take  half  the  Time 
 that B will take. 
 If  the  e?ciencies  are  in  the  ratio  m  :  n 
 then  Time  taken  will  be  in  the  ratio,  n  :  m. 
 i.e.  If  A  is  thrice  as  good  as  B  then  A  will 
 take (1/3)rd of the Time. 
 This  can  be  proved  with  the  help  of  the 
 following proportionality 
 E?ciency  ? 
    1 
 ????????     ??????????    
 MDH formula 
 MDH  formula  is  used  to  compare  the 
 works  of  the  same  nature  done  at  two 
 different  times  using  different 
 manpower.  The  MDH  formula  can  be 
 represented as 
 Where,  M  =  denotes  the  number  of 
 men/women,  D  =  denotes  the  number  of 
 days,  H  =  denotes  the  number  of  hours  in 
 a  day,  E  =  denotes  the  e?ciency  of  1 
 man, and W = denotes part of work done 
 Variety Questions 
 Q.1.  Two  pipes  can  ?ll  a  cistern  in  12 
 hours  and  16  hours,  respectively.  The 
 pipes  are  opened  simultaneously  and  it  is 
 found  that  due  to  leakage  at  the  bottom, 
 it  takes  90  minutes  more  to  ?ll  the 
 cistern.  How  much  time  will  the  leakage 
 take to empty the completely ?lled tank ? 
 SSC CPO 04/10/2023 (3rd Shift) 
 (a) 39  h  (b) 36  h 
 13 
 49 
 29 
 49 
 (c) 37  h  (d) 38  h 
 15 
 49 
 10 
 49 
 Q.2.  An  inlet  pipe  can  ?ll  an  empty  tank  in 
 3.6  hours,  while  an  outlet  pipe  can  drain  a 
 completely-?lled  tank  in  6.3  hours.  If  both 
 the  pipes  are  opened  simultaneously 
 when  the  tank  is  empty,  in  how  many 
 hours will the tank get completely ?lled ? 
 SSC CPO 04/10/2023 (1st Shift) 
 (a) 8.7  (b) 8.1  (c) 9.0  (d) 8.4 
 Q.3.  5  pipes  are  required  to  ?ll  a  tank  in  1 
 hour  and  40  minutes.  How  long  (in 
 minutes)  will  it  take  to  ?ll  the  same  tank 
 if 4 pipes of the same type are used? 
 SSC MTS 11/09/2023 (2nd Shift) 
 (a) 115  (b) 150     (c) 125     (d) 140 
 Q.4.  An  inlet  pipe  can  ?ll  an  empty  tank  in 
 51  hours  while  an  outlet  pipe  drains  a 
 completely-?lled  tank  in  76.5  hours.  If 
 both  the  pipes  are  opened 
 simultaneously  when  the  tank  is  empty, 
 in  how  many  hours  will  the  tank  get 
 completely ?lled ? 
 SSC CHSL 08/08/2023 (1st Shift) 
 (a) 178.5  (b) 127.5    (c) 102     (d) 153 
 Q.5.  Two  pipes  S1  and  S2  alone  can  ?ll 
 an  empty  tank  in  15  hours  and  20  hours 
 respectively.  Pipe  S3  alone  can  empty 
 that  completely  ?lled  tank  in  40  hours. 
 Firstly  both  pipes  S1  and  S2  are  opened 
 and  after  2  hour  pipe  S3  is  also  opened. 
 In  how  much  time(in  hrs)  tank  will  be 
 completely ?lled after S3 is opened? 
 SSC CGL 21/07/2023 (2nd shift) 
 (a)  (b)  (c)  (d) 
 90 
 17 
 89 
 12 
 90 
 13 
 92 
 11 
 Q.6.  An  inlet  pipe  can  ?ll  an  empty  tank 
 in  140  hours  while  an  outlet  pipe  drains  a 
 completely-?lled  tank  in  63  hours.  If  8 
 inlet  pipes  and  y  outlet  pipes  are  opened 
 simultaneously,  when  the  tank  is  empty, 
 then  the  tank  gets  completely  ?lled  in 
 105 hours. Find the value of y. 
 SSC CGL 14/07/2023 (3rd shift) 
 (a) 1  (b) 4  (c) 2  (d) 3 
 Q.7.  There  are  three  taps  of  diameter  2 
 cm,  3  cm  and  4  cm,  respectively.  The 
 ratio  of  the  water  ?owing  through  them  is 
 equal  to  the  ratio  of  the  square  of  their 
 diameters.  The  biggest  tap  can  ?ll  an 
 empty  tank  alone  in  81  min.  If  all  the  taps 
 are  opened  simultaneously,  then  how 
 long  will  the  tank  take  (in  min)  to  be 
 ?lled? 
 SSC CGL Tier II (02/03/2023) 
 (a) 34  (b) 64  (c) 54  (d) 44 
 20 
 29 
 20 
 29 
 20 
 29 
 20 
 29 
 Q.8.  Pipe  A  can  ?ll  an  empty  tank  in  30 
 hours  and  B  can  ?ll  it  in  10  hours.  Due  to 
 a  leakage  in  the  tank,  it  takes  pipes  A  and 
 B  together  1.5  hours  more  to  ?ll  it 
 completely  that  it  would  have  otherwise 
 taken.  What  is  the  time  taken  by  the 
 leakage  alone  to  empty  the  same  tank 
 completely,  starting  when  the  tank  is 
 completely full ? 
 SSC MTS 22/07/2022 (Evening) 
 (a) 42 hr  (b) 40 hr   (c) 36 hrs   (d) 45 hr 
 Q.9.  A  tank  is  to  be  ?lled  completely  with 
 water  for  which  8  pipes  of  the  same  kind 
 are  used.  The  tank  gets  ?lled  in  1  hour 
 and  40  minutes.  If  10  pipes  of  the  same 
 kind,  as  mentioned  above  are  used,  in 
 how  much  time  (in  hours  and  minutes) 
 will the tank be completely ?lled? 
 SSC MTS 22/10/2021(Morning) 
 (a) 1 hour 30 minutes 
 (b) 1 hour 20 minutes 
 (c) 1 hour 45 minutes 
 (d) 2 hours 5 minutes 
 Q.10.  There  are  two  water  taps  in  a  tank 
 which  can  ?ll  the  empty  tank  in  12  hours 
 and  18  hours  respectively.  It  is  seen  that 
 there  is  a  leakage  point  at  the  bottom  of 
 the  tank  which  can  empty  the  completely 
 ?lled  tank  in  36  hours.  If  both  the  water 
 taps  are  opened  at  the  same  time  to  ?ll 
 the  empty  tank  and  the  leakage  point 
 was  repaired  after  1  hour,  then  in  how 
 much  time  the  empty  tank  will  be 
 completely ?lled? 
 SSC CGL 17/08/2021(Afternoon) 
 (a) 7 hours 12 min    (b) 8 hours 24 min 
 (c) 7 hours  (d) 7 hours 24 min 
 Q.11.  Two  pipes  A  and  B  can  ?ll  a  cistern 
 in  12  hours  and  25  hours,  respectively. 
 1 
 2 
 The  pipes  are  opened  simultaneously 
 and  it  is  found  that  due  to  a  leakage  at 
 the  bottom,  It  took  1  hour  and  40  minutes 
 more  to  ?ll  the  cistern.  When  the  cistern 
 is  full,  in  how  much  time  (in  hrs)  will  the 
 leak empty the cistern? 
 SSC CPO 25/11/2020(Evening) 
 (a) 42  (b) 48  (c) 45  (d) 50 
 Q.12.  Pipe  A  and  B  ?ll  a  tank  in  43.2 
 minutes  and  108  minutes,  respectively, 
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 Pinnacle  Day: 59th  Pipe and Cistern 
 Pipe  C  can  empty  it  at  3  litres  per  minute. 
 When  all  the  three  pipes  are  opened 
 together,  they  will  ?ll  the  tank  in  54 
 minutes.  The  capacity  (in  litres)  of  the 
 tank is : 
 SSC CGL Tier II (15/11/2020) 
 (a) 160  (b) 180  (c) 216  (d) 200 
 Q.13.  Pipe  A  can  ?ll  a  tank  of  capacity 
 350  litres  in  3  minutes.  Pipe  B  can  ?ll 
 1 
 2 
 a  tank  of  capacity  780  litres  in  8 
 2 
 3 
 minutes.  What  time  (in  min)  will  it  take  to 
 ?ll  a  tank  of  capacity  1615  litres  when 
 both pipes are opened together? 
 SSC CPO 13/12/2019(Evening) 
 (a) 7  (b) 8  (c) 9  (d) 8 
 1 
 2 
 1 
 2 
 Q.14.  Pipes  A  and  B  can  empty  a  full  tank 
 in  18  hours  and  24  hours,  respectively. 
 Pipe  C  alone  can  ?ll  the  tank  in  36  hours. 
 If  the  tank  is  full  and  all  the  three 
 5 
 6 
 pipes  are  opened  together,  then  in  how 
 many hours will the tank be emptied? 
 SSC CPO 13/12/2019(Morning) 
 (a) 10.5  (b) 12.5  (c) 10  (d) 12 
 Q.15.  A  tank  is  ?lled  in  4  hours  by  three 
 pipes  A,B  and  C.  The  pipe  is  twice  as 
 fast  as  B  and  pipe  B  is  thrice  as  fast  as 
 A.  How  much  time  (in  hrs)  will  pipe  A 
 alone take to ?ll the tank ? 
 SSC CPO 12/12/2019 (Evening) 
 (a) 25  (b) 40  (c) 30  (d) 32 
 Q.16.  Pipes  A  and  B  are  emptying  pipes 
 and  can  empty  a  tank  in  6  hours  and  16 
 hours  respectively.  C  is  a  ?lling  pipe.  All 
 the  three  pipes  were  opened  together. 
 They  took  80  minutes  to  empty  th  of 
 5 
 18 
 the tank. Pipe C alone can ?ll the tank in: 
 SSC CPO 12/12/2019 (Morning) 
 (a) 36 hours  (b) 42 hours 
 (c) 48 hours  (d) 40 hours 
 Q.17.  Pipes  A  and  B  together  can  ?ll  an 
 empty  tank  in  6  minutes.  If  A  takes  3 
 2 
 3 
 minutes  more  than  B  to  ?ll  the  tank,  then 
 the  time  (in  minutes)  in  which  A  alone 
 would ?ll one-third part of the tank is ? 
 SSC CPO 11/12/2019 (Evening) 
 (a) 6  (b) 5  (c) 5.5  (d) 4.5 
 Q.18.  Pipes  A  and  B  are  ?lling  pipes 
 while  C  is  an  emptying  pipe.  A  and  B  can 
 ?ll  a  tank  in  72  and  90  minutes 
 respectively.  When  all  the  three  pipes  are 
 opened  together,  the  tank  gets  ?lled  in  2 
 hours.  A  and  B  are  opened  together  for 
 12  minutes,  then  closed  and  C  is  opened. 
 The tank will be empty (in min) after : 
 SSC CGL TIER II (13/09/2019) 
 (a) 15  (b) 18  (c) 12  (d) 16 
 Q.19.  Pipes  A  and  B  can  ?ll  a  tank  in  16 
 hours  and  24  hours,  respectively,  and 
 pipe  C  alone  can  empty  the  full  tank  in  ?? 
 hours.  All  the  pipes  were  opened 
 together  at  10.30  a.m.,  but  C  was  closed 
 at  2:30  p.m.  If  the  tank  was  full  at  8:30 
 p.m.  on  the  same  day,  then  what  is  the 
 value of  ?  ?? 
 SSC CGL TIER II (12/09/2019) 
 (a) 64  (b) 48  (c) 45  (d) 96 
 Q.20.  Pipes  A,  B  and  C  can  ?ll  a  tank  in 
 30h,  40  h  and  60  h  respectively.  Pipes  A, 
 B  and  C  are  opened  at  7  a.m.,  8  a.m.,  and 
 10  a.m.,  respectively  on  the  same  day. 
 When will the tank be full? (in p.m.) 
 SSC CGL TIER II (11/09/2019) 
 (a) 10.00   (b) 10.20   (c) 9.20  (d) 9.40 
 Q.21.  A  pipe  can  ?ll  a  tank  in  18  hours.  In 
 how  much  time  (in  hours)  will  another 
 pipe  operating  at  one  -  third  the  e?ciency 
 of  the  ?rst  pipe  ?ll  a  tank  whose  capacity 
 is 50% of that of the ?rst tank? 
 SSC MTS 19/08/2019 (Morning) 
 (a) 36  (b) 21  (c) 45  (d) 27 
 Q.22.  An  inlet  pipe  A  originating  from  a 
 river  can  ?ll  a  reservoir  in  30  days.  And 
 an  outlet  pipe  B,  which  is  capable  of 
 emptying  the  completely  ?lled  reservoir 
 in  50  days,  drains  out  the  water  from  the 
 reservoir  to  an  irrigation  canal.  The  pipes 
 are  opened  on  alternate  days  starting 
 with  A.  On  which  day  from  the  beginning 
 will  the  reservoir  get  completely  ?lled  for 
 the ?rst time ? 
 SSC MTS 05/08/2019 (Morning) 
 (a)75th  (b)147th   (c)150th   (d)  74th 
 Q.23.  Pipes  A  and  B  can  ?ll  a  tank  in  one 
 hour  and  two  hours  respectively  while 
 pipe  C  can  empty  the  ?lled  up  tank  in  one 
 hour  and  ?fteen  minutes.  A  and  C  are 
 turned  on  together  at  9  a.m.  After  2 
 hours,  only  A  is  closed  and  B  is  turned 
 on. When will the tank be emptied ? 
 SSC CGL 06/06/2019 (Morning) 
 (a) 12:10 p.m.  (b) 11:30 a.m. 
 (c) 10:30 a.m.  (d) 12:20 p.m. 
 Q.24.  One  tap  can  ?ll  a  tank  in  3  hours 
 and  a  leak  can  empty  it  in  5  hours.  If  the 
 tap  and  the  leak  (which  was  half  closed) 
 were  left  open,  how  long  (in  hrs)  will  it 
 take for the tank to ?ll ? 
 SSC CPO 16/03/2019 (Morning) 
 (a) 4  (b) 5  (c) 6  (d) 7 
 2 
 7 
 1 
 3 
 2 
 3 
 1 
 2 
 Q.25.  Two  pipes  A  and  B  ?ll  tank  in  20 
 min  and  30  min.  respectively.  If  A  is  kept 
 open  for  only  th  of  the  total  time  and  A 
 1 
 5 
 and  B  are  kept  open  for  remaining  time; 
 then  how  much  time  is  taken  by  both 
 pipes to ?ll the tank. 
 SSC CPO 15/03/2019 (Evening) 
 (a) 16  (b) 13  (c) 13  (d) 16 
 5 
 23 
 1 
 23 
 5 
 23 
 1 
 23 
 Q.26.  One  -  fourth  of  a  tank  can  be  ?lled 
 in  3  hours  by  pipe  A  and  one-third  of  the 
 same  tank  can  be  ?lled  in  2  hours  by  pipe 
 B.  How  long  will  it  take  for  the  tank  to  be 
 ?lled if both pipes are kept open ? 
 SSC CPO 14/03/2019 (Morning) 
 (a) 5 h  (b) 2 h  (c) 4 h  (d) 2  h 
 1 
 2    
 Practice Questions 
 SSC CHSL 2023 Tier - 2 
 Q.27.  Two  pipes  can  ?ll  a  cistern 
 separately  in  36  minutes  and  45  minutes, 
 respectively.  A  waste  pipe  can  drain  off 
 40  litres  per  minute.  If  all  the  three  pipes 
 are  opened,  the  cistern  ?lls  in  one  hour. 
 The capacity (in litres of the cistern) is: 
 SSC CHSL Tier II  10/01/2024 
 (a) 600  (b) 1200  (c) 300  (d) 400 
 SSC CGL 2023 Tier - 1 
 Q.28.  Inlet  Pipes  A  and  B  can  together 
 ?ll  an  empty  tank  in  1.5  hours.  Outlet 
 Pipe  C,  when  opened  alone,  can  empty 
 the  completely  ?lled  tank,  in  4.5  hours. 
 When  only  Pipes  A  and  C  are  opened 
 together,  the  empty  tank  is  ?lled  in  6 
 hours.  Find  the  time  taken  by  Pipe  B, 
 when  opened  alone,  to  ?ll  the  empty 
 tank. 
 SSC CGL 19/07/2023 (2nd shift) 
 (a) 3 hours 30 minutes 
 (b) 3 hours 36 minutes 
 (c) 3 hours 32 minutes 
 (d) 3 hours 40 minutes 
 Q.29.  An  inlet  pipe  can  ?ll  an  empty  tank 
 in  120  hours  while  an  outlet  pipe  drains  a 
 completely-?lled  tank  in  54  hours.  If  8 
 inlet  pipes  and  3  outlet  pipes  are  opened 
 simultaneously,  when  the  tank  is  empty, 
 then  in  how  many  hours  will  the  tank  get 
 completely ?lled ? 
 SSC CGL 20/07/2023 (1st shift) 
 (a) 81  (b) 96  (c) 72  (d) 90 
 Q.30.  An  inlet  pipe  can  ?ll  an  empty  tank 
 in  hours  while  an  outlet  pipe  drains  a  4 
 1 
 2 
 completely  ?lled  tank  in  hours.  The  7 
 1 
 5 
 tank  is  initially  empty,  and  the  two  pipes 
 are  alternately  opened  for  an  hour  each, 
 till the tank is completely ?lled, starting 
 www.ssccglpinnacle.com                                                 Download Pinnacle Exam Preparation App 401
 Pinnacle  Day: 59th  Pipe and Cistern 
 with  the  inlet  pipe.  In  how  many  hours 
 will the tank be completely ?lled? 
 SSC CGL 21/07/2023 (2nd shift) 
 (a) 24    (b)  (c)  (d)  20 
 1 
 4 
 20 
 3 
 4 
 22 
 3 
 8 
 Q.31.  A  pipe  can  ?ll  a  tank  in  30  hours. 
 Due  to  a  leakage  at  the  bottom,  it  is  ?lled 
 in  50  hours.  How  much  time  (in  hrs)  will 
 the  leakage  take  to  empty  the  completely 
 ?lled tank? 
 SSC CGL 24/07/2023 (2nd shift) 
 (a) 60  (b) 85  (c) 70  (d) 75 
 Q.32.  Pipe  A  and  pipe  B  running  together 
 can  ?ll  a  cistern  in  6  minutes.  If  B  takes  5 
 minutes  more  than  A  to  ?ll  it,  then  the 
 time  in  which  A  and  B  will  ?ll  that  cistern 
 separately will be, respectively,_________. 
 SSC CGL 26/07/2023 (2nd shift) 
 (a) 15 min and 10 min 
 (b) 15 min and 20 min 
 (c) 25 min and 20 min 
 (d) 10 min and 15 min 
 SSC MTS 2022 Tier - 1 
 Q.33.  Two  taps  P  and  Q  can  ?ll  a  tank 
 alone  in  10  hours  and  12  hours 
 respectively.  If  the  two  taps  are  opened 
 at  9  a.m.,  then  at  what  time  should  the 
 tap  P  be  closed  to  completely  ?ll  the  tank 
 at exactly 3 p.m. ? 
 SSC MTS 16/06/2023 (Morning) 
 (a) 2 p.m (b) 1 p.m  (c) 3 p.m (d) 12 p.m 
 Q.34.  Two  pipes  can  ?ll  a  tank  alone  in 
 20  hours  and  24  hours  respectively  and 
 an  outlet  pipe  alone  can  empty  20 
 gallons  of  water  per  hour.  All  the  three 
 pipes  working  together  can  ?ll  the  same 
 empty  tank  in  40  hours.  What  is  the 
 capacity of the tank ? 
 SSC MTS 16/06/2023 (Afternoon) 
 (a) 450 gallons  (b) 300 gallons 
 (c) 600 gallons  (d) 480 gallons 
 SSC CHSL 2022 Tier - 1 
 Q.35.  15  taps  can  ?ll  a  tank  in  36 
 minutes.  How  many  taps  will  be  required 
 to ?ll the tank in one hour? 
 SSC CHSL 15/03/2023 (2nd Shift) 
 (a) 12  (b)  9  (c)  8  (d) 6 
 SSC CGL 2022 Tier - 2 
 Q.36.  There  are  two  inlets  A  and  B 
 connected  to  a  tank.  A  and  B  can  ?ll  the 
 tank  in  32  h  and  28  h,  respectively.  If  both 
 the  pipes  are  opened  alternately  for  1  h, 
 starting  with  A,  then  in  how  much  time 
 (in  hours,  to  nearest  integer)  will  the  tank 
 be ?lled ? 
 SSC CGL Tier II (03/03/2023) 
 (a) 22  (b) 30  (c) 36  (d) 24 
 SSC CGL 2022 Tier - 1 
 Q.37.  There  are  3  taps  A,  B,  and  C  in  a 
 tank.  These  can  ?ll  the  tank  in  10  hours, 
 20  hours  and  25  hours,  respectively.  At 
 ?rst,  all  three  taps  are  opened 
 simultaneously.  After  2  hours,  tap  C  is 
 closed  and  A  and  B  keep  running.  After  4 
 hours  from  the  beginning,  tap  B  is  also 
 closed.  The  remaining  tank  is  ?lled  by  tap 
 A  alone.  Find  the  percentage  of  work 
 done by tap A itself. 
 SSC CGL 05/12/2022 (4th Shift) 
 (a) 32%  (b) 75%   (c) 52%  (d) 72% 
 SSC Selection Post (Phase - X) 
 Q.38.  Two  pipes  X  and  Y  can  ?ll  a  tank  in 
 12  minutes  and  18  minutes,  respectively. 
 If  both  the  pipes  are  opened 
 simultaneously,  how  long  will  it  take  to  ?ll 
 the tank (in mins) ? 
 Higher Secondary 03/08/2022 ( Shift - 4 ) 
 (a) 15     (b)  (c) 14      (d) 7 
 5 
 36 
 1 
 5 
 SSC MTS 2021 Tier - 1 
 Q.39.  Tap  A  can  ?ll  an  empty  tank  alone 
 in  6  hours,  Tap  B  alone  can  empty  the 
 same  tank,  when  ?lled,  in  8  hours.  If  they 
 are  opened  in  alternate  hours  starting 
 with  A,  then  in  how  much  time  (in  hrs) 
 will the tank be full for the ?rst time ? 
 SSC MTS 05/07/2022 (Afternoon) 
 (a) 44  (b) 47  (c) 48  (d) 41 
 Q.40.  Three  Pipes,  D,  E  and  F,  can  ?ll  a 
 tank  in  6  min  ,  8  min  and  12  min, 
 respectively.  All  the  pipes  are  opened 
 simultaneously.  And  then  pipes  D  and  E 
 are  closed  3  minutes  before  the  tank  is 
 full.  In  how  much  time  (in  min)  will  the 
 tank be  full ? 
 SSC MTS 07/07/2022 (Evening) 
 (a) 5  (b) 3  (c) 6  (d) 4 
 Q.41.  Pipe  A  can  ?ll  an  empty  cistern  in  6 
 hours  and  pipe  B  can  ?ll  the  same  empty 
 cistern  in  8  hours.  Both  the  pipes  are 
 opened  simultaneously  but  after  two 
 hours,  pipe  A  is  closed.  How  many  hours 
 will  B  take  to  ?ll  the  remaining  part  of  the 
 cistern ? 
 SSC MTS 21/07/2022 (Afternoon) 
 (a) 2       (b) 3  (c) 3  (d) 4 
 1 
 3 
 2 
 3 
 SSC CHSL 2021 Tier - 1 
 Q.42.  A container is normally ?lled in 5 
 hours.  However,  it  takes  6  hours  when 
 there  is  a  leak  at  the  bottom.  If  the 
 container  is  full,  at  what  time  would  the 
 leak  empty  it,  if  no  water  is  allowed  into 
 the container during that period? 
 SSC CHSL 30/05/2022 (Morning) 
 (a) 5 h  (b) 6 h  (c) 15 h  (d) 30 h 
 Q.43.  Manoj  and  his  wife  Swathi  ?ll  a 
 tank  with  water  fetched  from  a  well. 
 Manoj  fetches  5  liters  of  water  in  4 
 minutes  whereas  Swathi  fetches  4  liters 
 of  water  in  5  minutes.  Find  the  time 
 taken  by  them  together  to  fetch  205 
 liters of water. 
 SSC CHSL 03/06/2022 (Morning) 
 (a) 2 hours             (b) 80 minutes 
 (c) 100 minutes    (d) 1 hour 30 minutes 
 SSC CGL 2020 Tier - 2 
 Q.44.  In  6  minutes,  of  a  bucket  is 
 4 
 13 
 ?lled.  How  much  time  will  it  take  to  ?ll 
 the remaining bucket? 
 SSC CGL Tier  II (29/01/2022) 
 (a) 14 minutes 30 seconds 
 (b) 11 minutes 30 seconds 
 (c) 13 minutes 30 seconds 
 (d) 12 minutes 30 seconds 
 Q.45.  A  tap  can  ?ll  a  tank  in  5  hours. 
 1 
 2 
 Because  of  a  leak,  it  took  8  hours  to 
 1 
 4 
 ?ll  the  tank.  In  how  much  time  (in  hours) 
 will the leak alone empty 30% of the tank 
 SSC CGL Tier II (29/01/2022) 
 (a)  (b)  (c)  (d) 
 9 
 2 
 99 
 20 
 5 
 2 
 17 
 2 
 Q.46.  Two  pipes  A  and  B  can  ?ll  a  cistern 
 in  12  hours  and  25  hours,  respectively. 
 1 
 2 
 The  pipes  were  opened  simultaneously, 
 and  it  was  found  that,  due  to  leakage  in 
 the  bottom,  it  took  1  hour  40  minutes 
 more  to  ?ll  the  cistern.  If  the  cistern  is 
 full,  in  how  much  time  (in  hours)  will  the 
 leak alone empty 70% of the cistern? 
 SSC CGL Tier II (29/01/2022) 
 (a) 50  (b) 40  (c) 35  (d) 30 
 Q.47.  Pipes  A,  B  and  C  can  ?ll  a  tank  in 
 20,  30  and  60  hours,  respectively.  Pipes 
 A,  B  and  C  are  opened  at  7  a.m.,  8  a.m., 
 and  9  a.m.,  respectively,  on  the  same  day. 
 When will the tank be full? 
 SSC CGL Tier II (03/02/2022) 
 (a) 4:40 p.m.  (b) 5:40 p.m. 
 (c) 6:20 p.m.  (d) 7:20 p.m. 
 SSC MTS 2020 Tier - 1 
 Q.48.  Pipes A, B, and C can ?ll a tank in 
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Page 4


 Pinnacle  Day: 59th  Pipe and Cistern 
 Pipe and Cistern 
 Pipes  and  Cisterns  are  just  an 
 application  of  Time  and  Work.  Concept 
 wise,  it  is  one  and  the  same.  In  the  above 
 proportionality,  E?ciency  is  replaced  by 
 Rate  of  ?lling.  The  equation  in  this  case 
 becomes 
 Rate of ?lling  ? 
    1 
 ????????     ??????????    
 The  concept  of  the  percentage  of  work 
 done  can  be  used  to  solve  most  of  the 
 related questions. 
 A  few  basic  points  one  needs  to  know  to 
 use  the  percentage  concept  are:  When  it 
 is  said  that  someone  has  done  a  work,  it 
 means  he  has  done  100  %  of  the  work. 
 Hence,  if  A  ?nishes  work  in  4  days,  it 
 means-  in  4  days  he  will  do  100%  of  the 
 work.  Hence,  in  one  day  he  ?nishes  25% 
 (100/4)  of  the  work.  Similarly,  in  3  days 
 he ?nishes 75 % of the work. 
 The  complete  work  can  also  be 
 considered  as  1  unit.  Then  if  A  takes  4 
 days  to  ?nish  a  work,  it  means  he  can 
 ?nish 1/4th of the work in 1 day. 
 Illustrations: 
 Here  are  some  basic  questions  to 
 illustrate time and work shortcut tricks. 
 E?ciency  and  Time  taken  are  inversely 
 proportional  implies  that  If  A  is  twice  as 
 good  as  B  then  A  will  take  half  the  Time 
 that B will take. 
 If  the  e?ciencies  are  in  the  ratio  m  :  n 
 then  Time  taken  will  be  in  the  ratio,  n  :  m. 
 i.e.  If  A  is  thrice  as  good  as  B  then  A  will 
 take (1/3)rd of the Time. 
 This  can  be  proved  with  the  help  of  the 
 following proportionality 
 E?ciency  ? 
    1 
 ????????     ??????????    
 MDH formula 
 MDH  formula  is  used  to  compare  the 
 works  of  the  same  nature  done  at  two 
 different  times  using  different 
 manpower.  The  MDH  formula  can  be 
 represented as 
 Where,  M  =  denotes  the  number  of 
 men/women,  D  =  denotes  the  number  of 
 days,  H  =  denotes  the  number  of  hours  in 
 a  day,  E  =  denotes  the  e?ciency  of  1 
 man, and W = denotes part of work done 
 Variety Questions 
 Q.1.  Two  pipes  can  ?ll  a  cistern  in  12 
 hours  and  16  hours,  respectively.  The 
 pipes  are  opened  simultaneously  and  it  is 
 found  that  due  to  leakage  at  the  bottom, 
 it  takes  90  minutes  more  to  ?ll  the 
 cistern.  How  much  time  will  the  leakage 
 take to empty the completely ?lled tank ? 
 SSC CPO 04/10/2023 (3rd Shift) 
 (a) 39  h  (b) 36  h 
 13 
 49 
 29 
 49 
 (c) 37  h  (d) 38  h 
 15 
 49 
 10 
 49 
 Q.2.  An  inlet  pipe  can  ?ll  an  empty  tank  in 
 3.6  hours,  while  an  outlet  pipe  can  drain  a 
 completely-?lled  tank  in  6.3  hours.  If  both 
 the  pipes  are  opened  simultaneously 
 when  the  tank  is  empty,  in  how  many 
 hours will the tank get completely ?lled ? 
 SSC CPO 04/10/2023 (1st Shift) 
 (a) 8.7  (b) 8.1  (c) 9.0  (d) 8.4 
 Q.3.  5  pipes  are  required  to  ?ll  a  tank  in  1 
 hour  and  40  minutes.  How  long  (in 
 minutes)  will  it  take  to  ?ll  the  same  tank 
 if 4 pipes of the same type are used? 
 SSC MTS 11/09/2023 (2nd Shift) 
 (a) 115  (b) 150     (c) 125     (d) 140 
 Q.4.  An  inlet  pipe  can  ?ll  an  empty  tank  in 
 51  hours  while  an  outlet  pipe  drains  a 
 completely-?lled  tank  in  76.5  hours.  If 
 both  the  pipes  are  opened 
 simultaneously  when  the  tank  is  empty, 
 in  how  many  hours  will  the  tank  get 
 completely ?lled ? 
 SSC CHSL 08/08/2023 (1st Shift) 
 (a) 178.5  (b) 127.5    (c) 102     (d) 153 
 Q.5.  Two  pipes  S1  and  S2  alone  can  ?ll 
 an  empty  tank  in  15  hours  and  20  hours 
 respectively.  Pipe  S3  alone  can  empty 
 that  completely  ?lled  tank  in  40  hours. 
 Firstly  both  pipes  S1  and  S2  are  opened 
 and  after  2  hour  pipe  S3  is  also  opened. 
 In  how  much  time(in  hrs)  tank  will  be 
 completely ?lled after S3 is opened? 
 SSC CGL 21/07/2023 (2nd shift) 
 (a)  (b)  (c)  (d) 
 90 
 17 
 89 
 12 
 90 
 13 
 92 
 11 
 Q.6.  An  inlet  pipe  can  ?ll  an  empty  tank 
 in  140  hours  while  an  outlet  pipe  drains  a 
 completely-?lled  tank  in  63  hours.  If  8 
 inlet  pipes  and  y  outlet  pipes  are  opened 
 simultaneously,  when  the  tank  is  empty, 
 then  the  tank  gets  completely  ?lled  in 
 105 hours. Find the value of y. 
 SSC CGL 14/07/2023 (3rd shift) 
 (a) 1  (b) 4  (c) 2  (d) 3 
 Q.7.  There  are  three  taps  of  diameter  2 
 cm,  3  cm  and  4  cm,  respectively.  The 
 ratio  of  the  water  ?owing  through  them  is 
 equal  to  the  ratio  of  the  square  of  their 
 diameters.  The  biggest  tap  can  ?ll  an 
 empty  tank  alone  in  81  min.  If  all  the  taps 
 are  opened  simultaneously,  then  how 
 long  will  the  tank  take  (in  min)  to  be 
 ?lled? 
 SSC CGL Tier II (02/03/2023) 
 (a) 34  (b) 64  (c) 54  (d) 44 
 20 
 29 
 20 
 29 
 20 
 29 
 20 
 29 
 Q.8.  Pipe  A  can  ?ll  an  empty  tank  in  30 
 hours  and  B  can  ?ll  it  in  10  hours.  Due  to 
 a  leakage  in  the  tank,  it  takes  pipes  A  and 
 B  together  1.5  hours  more  to  ?ll  it 
 completely  that  it  would  have  otherwise 
 taken.  What  is  the  time  taken  by  the 
 leakage  alone  to  empty  the  same  tank 
 completely,  starting  when  the  tank  is 
 completely full ? 
 SSC MTS 22/07/2022 (Evening) 
 (a) 42 hr  (b) 40 hr   (c) 36 hrs   (d) 45 hr 
 Q.9.  A  tank  is  to  be  ?lled  completely  with 
 water  for  which  8  pipes  of  the  same  kind 
 are  used.  The  tank  gets  ?lled  in  1  hour 
 and  40  minutes.  If  10  pipes  of  the  same 
 kind,  as  mentioned  above  are  used,  in 
 how  much  time  (in  hours  and  minutes) 
 will the tank be completely ?lled? 
 SSC MTS 22/10/2021(Morning) 
 (a) 1 hour 30 minutes 
 (b) 1 hour 20 minutes 
 (c) 1 hour 45 minutes 
 (d) 2 hours 5 minutes 
 Q.10.  There  are  two  water  taps  in  a  tank 
 which  can  ?ll  the  empty  tank  in  12  hours 
 and  18  hours  respectively.  It  is  seen  that 
 there  is  a  leakage  point  at  the  bottom  of 
 the  tank  which  can  empty  the  completely 
 ?lled  tank  in  36  hours.  If  both  the  water 
 taps  are  opened  at  the  same  time  to  ?ll 
 the  empty  tank  and  the  leakage  point 
 was  repaired  after  1  hour,  then  in  how 
 much  time  the  empty  tank  will  be 
 completely ?lled? 
 SSC CGL 17/08/2021(Afternoon) 
 (a) 7 hours 12 min    (b) 8 hours 24 min 
 (c) 7 hours  (d) 7 hours 24 min 
 Q.11.  Two  pipes  A  and  B  can  ?ll  a  cistern 
 in  12  hours  and  25  hours,  respectively. 
 1 
 2 
 The  pipes  are  opened  simultaneously 
 and  it  is  found  that  due  to  a  leakage  at 
 the  bottom,  It  took  1  hour  and  40  minutes 
 more  to  ?ll  the  cistern.  When  the  cistern 
 is  full,  in  how  much  time  (in  hrs)  will  the 
 leak empty the cistern? 
 SSC CPO 25/11/2020(Evening) 
 (a) 42  (b) 48  (c) 45  (d) 50 
 Q.12.  Pipe  A  and  B  ?ll  a  tank  in  43.2 
 minutes  and  108  minutes,  respectively, 
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 Pinnacle  Day: 59th  Pipe and Cistern 
 Pipe  C  can  empty  it  at  3  litres  per  minute. 
 When  all  the  three  pipes  are  opened 
 together,  they  will  ?ll  the  tank  in  54 
 minutes.  The  capacity  (in  litres)  of  the 
 tank is : 
 SSC CGL Tier II (15/11/2020) 
 (a) 160  (b) 180  (c) 216  (d) 200 
 Q.13.  Pipe  A  can  ?ll  a  tank  of  capacity 
 350  litres  in  3  minutes.  Pipe  B  can  ?ll 
 1 
 2 
 a  tank  of  capacity  780  litres  in  8 
 2 
 3 
 minutes.  What  time  (in  min)  will  it  take  to 
 ?ll  a  tank  of  capacity  1615  litres  when 
 both pipes are opened together? 
 SSC CPO 13/12/2019(Evening) 
 (a) 7  (b) 8  (c) 9  (d) 8 
 1 
 2 
 1 
 2 
 Q.14.  Pipes  A  and  B  can  empty  a  full  tank 
 in  18  hours  and  24  hours,  respectively. 
 Pipe  C  alone  can  ?ll  the  tank  in  36  hours. 
 If  the  tank  is  full  and  all  the  three 
 5 
 6 
 pipes  are  opened  together,  then  in  how 
 many hours will the tank be emptied? 
 SSC CPO 13/12/2019(Morning) 
 (a) 10.5  (b) 12.5  (c) 10  (d) 12 
 Q.15.  A  tank  is  ?lled  in  4  hours  by  three 
 pipes  A,B  and  C.  The  pipe  is  twice  as 
 fast  as  B  and  pipe  B  is  thrice  as  fast  as 
 A.  How  much  time  (in  hrs)  will  pipe  A 
 alone take to ?ll the tank ? 
 SSC CPO 12/12/2019 (Evening) 
 (a) 25  (b) 40  (c) 30  (d) 32 
 Q.16.  Pipes  A  and  B  are  emptying  pipes 
 and  can  empty  a  tank  in  6  hours  and  16 
 hours  respectively.  C  is  a  ?lling  pipe.  All 
 the  three  pipes  were  opened  together. 
 They  took  80  minutes  to  empty  th  of 
 5 
 18 
 the tank. Pipe C alone can ?ll the tank in: 
 SSC CPO 12/12/2019 (Morning) 
 (a) 36 hours  (b) 42 hours 
 (c) 48 hours  (d) 40 hours 
 Q.17.  Pipes  A  and  B  together  can  ?ll  an 
 empty  tank  in  6  minutes.  If  A  takes  3 
 2 
 3 
 minutes  more  than  B  to  ?ll  the  tank,  then 
 the  time  (in  minutes)  in  which  A  alone 
 would ?ll one-third part of the tank is ? 
 SSC CPO 11/12/2019 (Evening) 
 (a) 6  (b) 5  (c) 5.5  (d) 4.5 
 Q.18.  Pipes  A  and  B  are  ?lling  pipes 
 while  C  is  an  emptying  pipe.  A  and  B  can 
 ?ll  a  tank  in  72  and  90  minutes 
 respectively.  When  all  the  three  pipes  are 
 opened  together,  the  tank  gets  ?lled  in  2 
 hours.  A  and  B  are  opened  together  for 
 12  minutes,  then  closed  and  C  is  opened. 
 The tank will be empty (in min) after : 
 SSC CGL TIER II (13/09/2019) 
 (a) 15  (b) 18  (c) 12  (d) 16 
 Q.19.  Pipes  A  and  B  can  ?ll  a  tank  in  16 
 hours  and  24  hours,  respectively,  and 
 pipe  C  alone  can  empty  the  full  tank  in  ?? 
 hours.  All  the  pipes  were  opened 
 together  at  10.30  a.m.,  but  C  was  closed 
 at  2:30  p.m.  If  the  tank  was  full  at  8:30 
 p.m.  on  the  same  day,  then  what  is  the 
 value of  ?  ?? 
 SSC CGL TIER II (12/09/2019) 
 (a) 64  (b) 48  (c) 45  (d) 96 
 Q.20.  Pipes  A,  B  and  C  can  ?ll  a  tank  in 
 30h,  40  h  and  60  h  respectively.  Pipes  A, 
 B  and  C  are  opened  at  7  a.m.,  8  a.m.,  and 
 10  a.m.,  respectively  on  the  same  day. 
 When will the tank be full? (in p.m.) 
 SSC CGL TIER II (11/09/2019) 
 (a) 10.00   (b) 10.20   (c) 9.20  (d) 9.40 
 Q.21.  A  pipe  can  ?ll  a  tank  in  18  hours.  In 
 how  much  time  (in  hours)  will  another 
 pipe  operating  at  one  -  third  the  e?ciency 
 of  the  ?rst  pipe  ?ll  a  tank  whose  capacity 
 is 50% of that of the ?rst tank? 
 SSC MTS 19/08/2019 (Morning) 
 (a) 36  (b) 21  (c) 45  (d) 27 
 Q.22.  An  inlet  pipe  A  originating  from  a 
 river  can  ?ll  a  reservoir  in  30  days.  And 
 an  outlet  pipe  B,  which  is  capable  of 
 emptying  the  completely  ?lled  reservoir 
 in  50  days,  drains  out  the  water  from  the 
 reservoir  to  an  irrigation  canal.  The  pipes 
 are  opened  on  alternate  days  starting 
 with  A.  On  which  day  from  the  beginning 
 will  the  reservoir  get  completely  ?lled  for 
 the ?rst time ? 
 SSC MTS 05/08/2019 (Morning) 
 (a)75th  (b)147th   (c)150th   (d)  74th 
 Q.23.  Pipes  A  and  B  can  ?ll  a  tank  in  one 
 hour  and  two  hours  respectively  while 
 pipe  C  can  empty  the  ?lled  up  tank  in  one 
 hour  and  ?fteen  minutes.  A  and  C  are 
 turned  on  together  at  9  a.m.  After  2 
 hours,  only  A  is  closed  and  B  is  turned 
 on. When will the tank be emptied ? 
 SSC CGL 06/06/2019 (Morning) 
 (a) 12:10 p.m.  (b) 11:30 a.m. 
 (c) 10:30 a.m.  (d) 12:20 p.m. 
 Q.24.  One  tap  can  ?ll  a  tank  in  3  hours 
 and  a  leak  can  empty  it  in  5  hours.  If  the 
 tap  and  the  leak  (which  was  half  closed) 
 were  left  open,  how  long  (in  hrs)  will  it 
 take for the tank to ?ll ? 
 SSC CPO 16/03/2019 (Morning) 
 (a) 4  (b) 5  (c) 6  (d) 7 
 2 
 7 
 1 
 3 
 2 
 3 
 1 
 2 
 Q.25.  Two  pipes  A  and  B  ?ll  tank  in  20 
 min  and  30  min.  respectively.  If  A  is  kept 
 open  for  only  th  of  the  total  time  and  A 
 1 
 5 
 and  B  are  kept  open  for  remaining  time; 
 then  how  much  time  is  taken  by  both 
 pipes to ?ll the tank. 
 SSC CPO 15/03/2019 (Evening) 
 (a) 16  (b) 13  (c) 13  (d) 16 
 5 
 23 
 1 
 23 
 5 
 23 
 1 
 23 
 Q.26.  One  -  fourth  of  a  tank  can  be  ?lled 
 in  3  hours  by  pipe  A  and  one-third  of  the 
 same  tank  can  be  ?lled  in  2  hours  by  pipe 
 B.  How  long  will  it  take  for  the  tank  to  be 
 ?lled if both pipes are kept open ? 
 SSC CPO 14/03/2019 (Morning) 
 (a) 5 h  (b) 2 h  (c) 4 h  (d) 2  h 
 1 
 2    
 Practice Questions 
 SSC CHSL 2023 Tier - 2 
 Q.27.  Two  pipes  can  ?ll  a  cistern 
 separately  in  36  minutes  and  45  minutes, 
 respectively.  A  waste  pipe  can  drain  off 
 40  litres  per  minute.  If  all  the  three  pipes 
 are  opened,  the  cistern  ?lls  in  one  hour. 
 The capacity (in litres of the cistern) is: 
 SSC CHSL Tier II  10/01/2024 
 (a) 600  (b) 1200  (c) 300  (d) 400 
 SSC CGL 2023 Tier - 1 
 Q.28.  Inlet  Pipes  A  and  B  can  together 
 ?ll  an  empty  tank  in  1.5  hours.  Outlet 
 Pipe  C,  when  opened  alone,  can  empty 
 the  completely  ?lled  tank,  in  4.5  hours. 
 When  only  Pipes  A  and  C  are  opened 
 together,  the  empty  tank  is  ?lled  in  6 
 hours.  Find  the  time  taken  by  Pipe  B, 
 when  opened  alone,  to  ?ll  the  empty 
 tank. 
 SSC CGL 19/07/2023 (2nd shift) 
 (a) 3 hours 30 minutes 
 (b) 3 hours 36 minutes 
 (c) 3 hours 32 minutes 
 (d) 3 hours 40 minutes 
 Q.29.  An  inlet  pipe  can  ?ll  an  empty  tank 
 in  120  hours  while  an  outlet  pipe  drains  a 
 completely-?lled  tank  in  54  hours.  If  8 
 inlet  pipes  and  3  outlet  pipes  are  opened 
 simultaneously,  when  the  tank  is  empty, 
 then  in  how  many  hours  will  the  tank  get 
 completely ?lled ? 
 SSC CGL 20/07/2023 (1st shift) 
 (a) 81  (b) 96  (c) 72  (d) 90 
 Q.30.  An  inlet  pipe  can  ?ll  an  empty  tank 
 in  hours  while  an  outlet  pipe  drains  a  4 
 1 
 2 
 completely  ?lled  tank  in  hours.  The  7 
 1 
 5 
 tank  is  initially  empty,  and  the  two  pipes 
 are  alternately  opened  for  an  hour  each, 
 till the tank is completely ?lled, starting 
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 Pinnacle  Day: 59th  Pipe and Cistern 
 with  the  inlet  pipe.  In  how  many  hours 
 will the tank be completely ?lled? 
 SSC CGL 21/07/2023 (2nd shift) 
 (a) 24    (b)  (c)  (d)  20 
 1 
 4 
 20 
 3 
 4 
 22 
 3 
 8 
 Q.31.  A  pipe  can  ?ll  a  tank  in  30  hours. 
 Due  to  a  leakage  at  the  bottom,  it  is  ?lled 
 in  50  hours.  How  much  time  (in  hrs)  will 
 the  leakage  take  to  empty  the  completely 
 ?lled tank? 
 SSC CGL 24/07/2023 (2nd shift) 
 (a) 60  (b) 85  (c) 70  (d) 75 
 Q.32.  Pipe  A  and  pipe  B  running  together 
 can  ?ll  a  cistern  in  6  minutes.  If  B  takes  5 
 minutes  more  than  A  to  ?ll  it,  then  the 
 time  in  which  A  and  B  will  ?ll  that  cistern 
 separately will be, respectively,_________. 
 SSC CGL 26/07/2023 (2nd shift) 
 (a) 15 min and 10 min 
 (b) 15 min and 20 min 
 (c) 25 min and 20 min 
 (d) 10 min and 15 min 
 SSC MTS 2022 Tier - 1 
 Q.33.  Two  taps  P  and  Q  can  ?ll  a  tank 
 alone  in  10  hours  and  12  hours 
 respectively.  If  the  two  taps  are  opened 
 at  9  a.m.,  then  at  what  time  should  the 
 tap  P  be  closed  to  completely  ?ll  the  tank 
 at exactly 3 p.m. ? 
 SSC MTS 16/06/2023 (Morning) 
 (a) 2 p.m (b) 1 p.m  (c) 3 p.m (d) 12 p.m 
 Q.34.  Two  pipes  can  ?ll  a  tank  alone  in 
 20  hours  and  24  hours  respectively  and 
 an  outlet  pipe  alone  can  empty  20 
 gallons  of  water  per  hour.  All  the  three 
 pipes  working  together  can  ?ll  the  same 
 empty  tank  in  40  hours.  What  is  the 
 capacity of the tank ? 
 SSC MTS 16/06/2023 (Afternoon) 
 (a) 450 gallons  (b) 300 gallons 
 (c) 600 gallons  (d) 480 gallons 
 SSC CHSL 2022 Tier - 1 
 Q.35.  15  taps  can  ?ll  a  tank  in  36 
 minutes.  How  many  taps  will  be  required 
 to ?ll the tank in one hour? 
 SSC CHSL 15/03/2023 (2nd Shift) 
 (a) 12  (b)  9  (c)  8  (d) 6 
 SSC CGL 2022 Tier - 2 
 Q.36.  There  are  two  inlets  A  and  B 
 connected  to  a  tank.  A  and  B  can  ?ll  the 
 tank  in  32  h  and  28  h,  respectively.  If  both 
 the  pipes  are  opened  alternately  for  1  h, 
 starting  with  A,  then  in  how  much  time 
 (in  hours,  to  nearest  integer)  will  the  tank 
 be ?lled ? 
 SSC CGL Tier II (03/03/2023) 
 (a) 22  (b) 30  (c) 36  (d) 24 
 SSC CGL 2022 Tier - 1 
 Q.37.  There  are  3  taps  A,  B,  and  C  in  a 
 tank.  These  can  ?ll  the  tank  in  10  hours, 
 20  hours  and  25  hours,  respectively.  At 
 ?rst,  all  three  taps  are  opened 
 simultaneously.  After  2  hours,  tap  C  is 
 closed  and  A  and  B  keep  running.  After  4 
 hours  from  the  beginning,  tap  B  is  also 
 closed.  The  remaining  tank  is  ?lled  by  tap 
 A  alone.  Find  the  percentage  of  work 
 done by tap A itself. 
 SSC CGL 05/12/2022 (4th Shift) 
 (a) 32%  (b) 75%   (c) 52%  (d) 72% 
 SSC Selection Post (Phase - X) 
 Q.38.  Two  pipes  X  and  Y  can  ?ll  a  tank  in 
 12  minutes  and  18  minutes,  respectively. 
 If  both  the  pipes  are  opened 
 simultaneously,  how  long  will  it  take  to  ?ll 
 the tank (in mins) ? 
 Higher Secondary 03/08/2022 ( Shift - 4 ) 
 (a) 15     (b)  (c) 14      (d) 7 
 5 
 36 
 1 
 5 
 SSC MTS 2021 Tier - 1 
 Q.39.  Tap  A  can  ?ll  an  empty  tank  alone 
 in  6  hours,  Tap  B  alone  can  empty  the 
 same  tank,  when  ?lled,  in  8  hours.  If  they 
 are  opened  in  alternate  hours  starting 
 with  A,  then  in  how  much  time  (in  hrs) 
 will the tank be full for the ?rst time ? 
 SSC MTS 05/07/2022 (Afternoon) 
 (a) 44  (b) 47  (c) 48  (d) 41 
 Q.40.  Three  Pipes,  D,  E  and  F,  can  ?ll  a 
 tank  in  6  min  ,  8  min  and  12  min, 
 respectively.  All  the  pipes  are  opened 
 simultaneously.  And  then  pipes  D  and  E 
 are  closed  3  minutes  before  the  tank  is 
 full.  In  how  much  time  (in  min)  will  the 
 tank be  full ? 
 SSC MTS 07/07/2022 (Evening) 
 (a) 5  (b) 3  (c) 6  (d) 4 
 Q.41.  Pipe  A  can  ?ll  an  empty  cistern  in  6 
 hours  and  pipe  B  can  ?ll  the  same  empty 
 cistern  in  8  hours.  Both  the  pipes  are 
 opened  simultaneously  but  after  two 
 hours,  pipe  A  is  closed.  How  many  hours 
 will  B  take  to  ?ll  the  remaining  part  of  the 
 cistern ? 
 SSC MTS 21/07/2022 (Afternoon) 
 (a) 2       (b) 3  (c) 3  (d) 4 
 1 
 3 
 2 
 3 
 SSC CHSL 2021 Tier - 1 
 Q.42.  A container is normally ?lled in 5 
 hours.  However,  it  takes  6  hours  when 
 there  is  a  leak  at  the  bottom.  If  the 
 container  is  full,  at  what  time  would  the 
 leak  empty  it,  if  no  water  is  allowed  into 
 the container during that period? 
 SSC CHSL 30/05/2022 (Morning) 
 (a) 5 h  (b) 6 h  (c) 15 h  (d) 30 h 
 Q.43.  Manoj  and  his  wife  Swathi  ?ll  a 
 tank  with  water  fetched  from  a  well. 
 Manoj  fetches  5  liters  of  water  in  4 
 minutes  whereas  Swathi  fetches  4  liters 
 of  water  in  5  minutes.  Find  the  time 
 taken  by  them  together  to  fetch  205 
 liters of water. 
 SSC CHSL 03/06/2022 (Morning) 
 (a) 2 hours             (b) 80 minutes 
 (c) 100 minutes    (d) 1 hour 30 minutes 
 SSC CGL 2020 Tier - 2 
 Q.44.  In  6  minutes,  of  a  bucket  is 
 4 
 13 
 ?lled.  How  much  time  will  it  take  to  ?ll 
 the remaining bucket? 
 SSC CGL Tier  II (29/01/2022) 
 (a) 14 minutes 30 seconds 
 (b) 11 minutes 30 seconds 
 (c) 13 minutes 30 seconds 
 (d) 12 minutes 30 seconds 
 Q.45.  A  tap  can  ?ll  a  tank  in  5  hours. 
 1 
 2 
 Because  of  a  leak,  it  took  8  hours  to 
 1 
 4 
 ?ll  the  tank.  In  how  much  time  (in  hours) 
 will the leak alone empty 30% of the tank 
 SSC CGL Tier II (29/01/2022) 
 (a)  (b)  (c)  (d) 
 9 
 2 
 99 
 20 
 5 
 2 
 17 
 2 
 Q.46.  Two  pipes  A  and  B  can  ?ll  a  cistern 
 in  12  hours  and  25  hours,  respectively. 
 1 
 2 
 The  pipes  were  opened  simultaneously, 
 and  it  was  found  that,  due  to  leakage  in 
 the  bottom,  it  took  1  hour  40  minutes 
 more  to  ?ll  the  cistern.  If  the  cistern  is 
 full,  in  how  much  time  (in  hours)  will  the 
 leak alone empty 70% of the cistern? 
 SSC CGL Tier II (29/01/2022) 
 (a) 50  (b) 40  (c) 35  (d) 30 
 Q.47.  Pipes  A,  B  and  C  can  ?ll  a  tank  in 
 20,  30  and  60  hours,  respectively.  Pipes 
 A,  B  and  C  are  opened  at  7  a.m.,  8  a.m., 
 and  9  a.m.,  respectively,  on  the  same  day. 
 When will the tank be full? 
 SSC CGL Tier II (03/02/2022) 
 (a) 4:40 p.m.  (b) 5:40 p.m. 
 (c) 6:20 p.m.  (d) 7:20 p.m. 
 SSC MTS 2020 Tier - 1 
 Q.48.  Pipes A, B, and C can ?ll a tank in 
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 Pinnacle  Day: 59th  Pipe and Cistern 
 30  hours,  36  hours  and  28  hours, 
 respectively.  All  the  three  pipes  were 
 opened  simultaneously.  If  A  and  C  were 
 closed  5  hours  and  8  hours,  respectively, 
 before  the  tank  was  ?lled  completely, 
 then  in  how  many  hours  was  the  tank 
 ?lled? 
 SSC MTS 08/10/2021 (Afternoon) 
 (a) 12  (b) 14  (c) 16  (d) 15 
 Q.49.  Pipes  A  and  B  can  ?ll  a  tank  in  15 
 hours  and  12  hours,  respectively.  Pipe  C 
 alone  can  empty  the  full  tank  in  10  hours. 
 If  all  the  three  pipes  are  opened  together 
 for  2  hours  40  minutes,  then  what  part  of 
 the tank will remain un?lled? 
 SSC MTS 14/10/2021 (Afternoon) 
 (a)  (b)  (c)  (d) 
 3 
 20 
 13 
 15 
 2 
 15 
 17 
 20 
 Q.50.  Pipes  A  and  B  can  ?ll  a  tank  in  18 
 minutes  and  30  minutes,  respectively. 
 Pipe  C,  attached  to  the  tank  ,  can  drain 
 off  125  litres  of  water  per  minute.  If  all 
 the  pipes  are  opened  together,  the  tank  is 
 ?lled  in  45  minutes.  The  capacity  of  the 
 tank in litres, is: 
 SSC MTS 14/10/2021 (Evening) 
 (a) 1500  (b) 1375  (c) 1875  (d) 2000 
 Q.51.  Two  inlet  pipes  can  separately  ?ll  a 
 cistern  completely  in  8  hours  and  10 
 hours,  respectively.  They  are  operated  for 
 2  hours,  after  which  the  second  pipe  is 
 closed,  and  an  outlet  pipe  which  can 
 drain  out  water  from  the  full  cistern  in  20 
 hours  is  opened.  How  much  time  will  it 
 take  to  ?ll  the  cistern  completely  from 
 the instant of opening the outlet pipe ? 
 SSC MTS 02/11/2021 (Evening) 
 (a) 7 hours 
 (b) 8 hours 
 (c) 7 hours 20 minutes 
 (d) 8 hours 40 minutes 
 SSC CGL 2020 Tier - 1 
 Q.52.  Two  pipes  A  and  B  can  ?ll  an 
 empty  tank  in  10  hours  and  16  hours 
 respectively.  They  are  opened 
 alternatively  for  1  hour  each,  opening 
 Pipe  B  ?rst.  In  how  many  hours,  will  the 
 empty tank be ?lled ? 
 SSC CGL 20/08/2021 (Afternoon) 
 (a) 12  (b) 14  (c) 10  (d) 16 
 2 
 5 
 2 
 5 
 2 
 5 
 2 
 5 
 Q.53.  A  tank  is  ?lled  in  4  hours  by  three 
 pipes  A,  B  and  C.  The  pipe  C  is  1  times 
 1 
 2 
 as  fast  as  B  and  B  is  3  times  as  fast  as  A. 
 How  many  hours  will  pipe  A  alone  take  to 
 ?ll the tank ? 
 SSC CGL 24/8/2021 (Evening) 
 (a) 17  (b) 34  (c) 30  (d) 15 
 SSC CHSL 2020 Tier - 1 
 Q.54.  Pipes  A  and  B  can  empty  a  full  tank 
 in  36  and  45  minutes,  respectively, 
 whereas  pipe  C  alone  can  ?ll  the  tank  in 
 15  minutes.  B  and  C  are  opened  together 
 for  15  minutes,  and  then  both  are  turned 
 off  and  A  is  opened.  Pipe  A  will  empty 
 the tank in how many hours (in minutes). 
 SSC CHSL 19/04/2021 (Afternoon) 
 (a) 30  (b) 18  (c) 20  (d) 24 
 SSC CPO 2020 Tier - 1 
 Q.55.  Pipe  A,  B  and  C  can  ?ll  an  empty 
 tank  in  hours,  if  all  the  three  pipes 
 30 
 7 
 are  opened  simultaneously  A  and  B  are 
 ?lling  pipe  and  C  is  an  emptying  pipe. 
 Pipe  A  can  ?ll  the  tank  in  15  hours  and 
 pipe  C  can  empty  it  in  12  hours.  In  how 
 many  hours  can  pipe  B  alone  ?ll  the 
 empty tank ? 
 SSC CPO 24/11/2020 (Morning) 
 (a) 6  (b) 3  (c) 5  (d) 4 
 SSC CGL 2019 Tier - 1 
 Q.56.  Pipes  A  and  B  can  ?ll  a  tank  in  10 
 hours  and  40  hours,  respectively.  C  is  an 
 outlet  pipe  attached  to  the  tank.  If  all  the 
 three  pipes  are  opened  simultaneously,  it 
 takes  80  minutes  more  time  than  what  A 
 and  B  together  take  to  ?ll  the  tank.  A  and 
 B  are  kept  open  for  7  hours  and  then 
 closed  and  C  is  opened.  C  will  now 
 empty the tank in: (in hrs) 
 SSC CGL 05/03/2020 (Morning) 
 (a) 45.5  (b) 38.5    (c) 42  (d) 49 
 SSC CPO 2019 Tier - 1 
 Q.57.  Three  pipes,  A,  B,  C  can  ?ll  an 
 empty  cistern  in  2,  3  and  6  hrs 
 respectively.  They  are  opened  together. 
 After  what  time  B  should  be  closed,  so 
 that  the  cistern  gets  ?lled  in  exactly  1  hr 
 15 min ? 
 SSC CPO 09/12/2019 (Morning) 
 (a) 30 min (b) 20 min (c) 45 min (d) 15 min 
 Q.58.  Pipes  A,  B  and  C  together  can  ?ll  a 
 cistern  in  12  hours.  All  the  three  pipes 
 are  opened  together  for  4  hours  and  then 
 C  is  closed.  A  and  B  take  10  hours  to  ?ll 
 the  remaining  part  of  the  cistern.  C  alone 
 will ?ll two - thirds of the cistern in: 
 SSC CPO  09/12/2019 (Evening) 
 (a) 40 hours  (b) 48 hours 
 (c) 60 hours  (d) 50 hours 
 Q.59.  Pipes  A,  B  and  C  can  ?ll  a  tank  in 
 10,  15  and  30  hours  respectively.  D  is  an 
 emptying  pipe  which  alone  can  empty 
 the  full  tank  in  hours.  A,  B  and  C  are  ?? 
 opened  together  for  3  hours  and  then 
 closed.  Now  D  is  opened  which  alone 
 can  empty  the  tank  in  30  hours.  What  is 
 the value of  ?  ?? 
 SSC CPO 09/12/2019 (Evening) 
 (a) 40  (b) 50  (c) 60  (d) 45 
 Q.60.  Pipes  P  and  Q  can  ?ll  a  tank  in  18 
 and  27  minutes,  respectively,  whereas 
 pipe  R  can  empty  the  full  tank  in  54 
 minutes.  P  and  Q  were  opened  together 
 for  6  minutes  and  then  closed  and  R  was 
 opened.  The  tank  was  emptied  by  R 
 alone in : (in min) 
 SSC CPO 11/12/2019 (Morning) 
 (a) 30  (b) 40  (c) 35  (d) 45 
 Q.61.  Three  pipes,  A,B  and  C  ,  can  ?ll  a 
 cistern  in  12,  18  and  24  minutes, 
 respectively.  If  all  the  pipes  are  opened 
 together  for  7  minutes,  what  will  be  the 
 volume  of  the  water  that  over?ows  as  the 
 percentage  of  the  total  volume  of  the 
 cistern? 
 SSC CPO 11/12/2019 (Morning) 
 (a) 26  (b) 23  (c) 23  (d) 26 
 7 
 18 
 1 
 3 
 2 
 3 
 5 
 18 
 Q.62.  Taps  A  and  B  can  ?ll  a  tank  in  15 
 minutes  and  10  minutes,  respectively 
 while  tap  C  can  empty  the  full  tank  in  ?? 
 minutes.  If  all  three  taps  are  opened 
 together,  the  tank  is  ?lled  completely  in  8 
 minutes.  Tap  C  alone  will  empty  th 
 3 
 8 
 part of the tank in: 
 SSC CPO 13/12/2019 (Morning) 
 (a) 10 minutes  (b) 10.5 minutes 
 (c) 9 minutes  (d) 8.5 minute 
 SSC CPO 2018 Tier - 1 
 Q.63.  Two  pipes  A  and  B  can  ?ll  an 
 empty  tank  in  8  hours  and  12  hours 
 respectively.  They  are  opened  alternately 
 for  1  hour  each  starting  with  pipe  A  ?rst. 
 In  how  many  hours  will  the  empty  tank  be 
 ?lled ? 
 SSC CPO 12/03/2019 (Evening) 
 (a) 9  (b) 9  (c) 9  (d) 9 
 1 
 3 
 1 
 2 
 1 
 4 
 Answer Key :- 
 1.(d)  2.(d)  3.(c)  4.(d) 
 5.(d)  6.(d)  7.(d)  8.(d) 
 9.(b)  10.(d)  11.(d)  12.(c) 
 13.(b)  14.(d)  15.(b)  16.(c) 
 17.(b)  18.(b)  19.(d)  20.(c) 
 21.(d)  22.(b)  23.(d)  24.(a) 
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Page 5


 Pinnacle  Day: 59th  Pipe and Cistern 
 Pipe and Cistern 
 Pipes  and  Cisterns  are  just  an 
 application  of  Time  and  Work.  Concept 
 wise,  it  is  one  and  the  same.  In  the  above 
 proportionality,  E?ciency  is  replaced  by 
 Rate  of  ?lling.  The  equation  in  this  case 
 becomes 
 Rate of ?lling  ? 
    1 
 ????????     ??????????    
 The  concept  of  the  percentage  of  work 
 done  can  be  used  to  solve  most  of  the 
 related questions. 
 A  few  basic  points  one  needs  to  know  to 
 use  the  percentage  concept  are:  When  it 
 is  said  that  someone  has  done  a  work,  it 
 means  he  has  done  100  %  of  the  work. 
 Hence,  if  A  ?nishes  work  in  4  days,  it 
 means-  in  4  days  he  will  do  100%  of  the 
 work.  Hence,  in  one  day  he  ?nishes  25% 
 (100/4)  of  the  work.  Similarly,  in  3  days 
 he ?nishes 75 % of the work. 
 The  complete  work  can  also  be 
 considered  as  1  unit.  Then  if  A  takes  4 
 days  to  ?nish  a  work,  it  means  he  can 
 ?nish 1/4th of the work in 1 day. 
 Illustrations: 
 Here  are  some  basic  questions  to 
 illustrate time and work shortcut tricks. 
 E?ciency  and  Time  taken  are  inversely 
 proportional  implies  that  If  A  is  twice  as 
 good  as  B  then  A  will  take  half  the  Time 
 that B will take. 
 If  the  e?ciencies  are  in  the  ratio  m  :  n 
 then  Time  taken  will  be  in  the  ratio,  n  :  m. 
 i.e.  If  A  is  thrice  as  good  as  B  then  A  will 
 take (1/3)rd of the Time. 
 This  can  be  proved  with  the  help  of  the 
 following proportionality 
 E?ciency  ? 
    1 
 ????????     ??????????    
 MDH formula 
 MDH  formula  is  used  to  compare  the 
 works  of  the  same  nature  done  at  two 
 different  times  using  different 
 manpower.  The  MDH  formula  can  be 
 represented as 
 Where,  M  =  denotes  the  number  of 
 men/women,  D  =  denotes  the  number  of 
 days,  H  =  denotes  the  number  of  hours  in 
 a  day,  E  =  denotes  the  e?ciency  of  1 
 man, and W = denotes part of work done 
 Variety Questions 
 Q.1.  Two  pipes  can  ?ll  a  cistern  in  12 
 hours  and  16  hours,  respectively.  The 
 pipes  are  opened  simultaneously  and  it  is 
 found  that  due  to  leakage  at  the  bottom, 
 it  takes  90  minutes  more  to  ?ll  the 
 cistern.  How  much  time  will  the  leakage 
 take to empty the completely ?lled tank ? 
 SSC CPO 04/10/2023 (3rd Shift) 
 (a) 39  h  (b) 36  h 
 13 
 49 
 29 
 49 
 (c) 37  h  (d) 38  h 
 15 
 49 
 10 
 49 
 Q.2.  An  inlet  pipe  can  ?ll  an  empty  tank  in 
 3.6  hours,  while  an  outlet  pipe  can  drain  a 
 completely-?lled  tank  in  6.3  hours.  If  both 
 the  pipes  are  opened  simultaneously 
 when  the  tank  is  empty,  in  how  many 
 hours will the tank get completely ?lled ? 
 SSC CPO 04/10/2023 (1st Shift) 
 (a) 8.7  (b) 8.1  (c) 9.0  (d) 8.4 
 Q.3.  5  pipes  are  required  to  ?ll  a  tank  in  1 
 hour  and  40  minutes.  How  long  (in 
 minutes)  will  it  take  to  ?ll  the  same  tank 
 if 4 pipes of the same type are used? 
 SSC MTS 11/09/2023 (2nd Shift) 
 (a) 115  (b) 150     (c) 125     (d) 140 
 Q.4.  An  inlet  pipe  can  ?ll  an  empty  tank  in 
 51  hours  while  an  outlet  pipe  drains  a 
 completely-?lled  tank  in  76.5  hours.  If 
 both  the  pipes  are  opened 
 simultaneously  when  the  tank  is  empty, 
 in  how  many  hours  will  the  tank  get 
 completely ?lled ? 
 SSC CHSL 08/08/2023 (1st Shift) 
 (a) 178.5  (b) 127.5    (c) 102     (d) 153 
 Q.5.  Two  pipes  S1  and  S2  alone  can  ?ll 
 an  empty  tank  in  15  hours  and  20  hours 
 respectively.  Pipe  S3  alone  can  empty 
 that  completely  ?lled  tank  in  40  hours. 
 Firstly  both  pipes  S1  and  S2  are  opened 
 and  after  2  hour  pipe  S3  is  also  opened. 
 In  how  much  time(in  hrs)  tank  will  be 
 completely ?lled after S3 is opened? 
 SSC CGL 21/07/2023 (2nd shift) 
 (a)  (b)  (c)  (d) 
 90 
 17 
 89 
 12 
 90 
 13 
 92 
 11 
 Q.6.  An  inlet  pipe  can  ?ll  an  empty  tank 
 in  140  hours  while  an  outlet  pipe  drains  a 
 completely-?lled  tank  in  63  hours.  If  8 
 inlet  pipes  and  y  outlet  pipes  are  opened 
 simultaneously,  when  the  tank  is  empty, 
 then  the  tank  gets  completely  ?lled  in 
 105 hours. Find the value of y. 
 SSC CGL 14/07/2023 (3rd shift) 
 (a) 1  (b) 4  (c) 2  (d) 3 
 Q.7.  There  are  three  taps  of  diameter  2 
 cm,  3  cm  and  4  cm,  respectively.  The 
 ratio  of  the  water  ?owing  through  them  is 
 equal  to  the  ratio  of  the  square  of  their 
 diameters.  The  biggest  tap  can  ?ll  an 
 empty  tank  alone  in  81  min.  If  all  the  taps 
 are  opened  simultaneously,  then  how 
 long  will  the  tank  take  (in  min)  to  be 
 ?lled? 
 SSC CGL Tier II (02/03/2023) 
 (a) 34  (b) 64  (c) 54  (d) 44 
 20 
 29 
 20 
 29 
 20 
 29 
 20 
 29 
 Q.8.  Pipe  A  can  ?ll  an  empty  tank  in  30 
 hours  and  B  can  ?ll  it  in  10  hours.  Due  to 
 a  leakage  in  the  tank,  it  takes  pipes  A  and 
 B  together  1.5  hours  more  to  ?ll  it 
 completely  that  it  would  have  otherwise 
 taken.  What  is  the  time  taken  by  the 
 leakage  alone  to  empty  the  same  tank 
 completely,  starting  when  the  tank  is 
 completely full ? 
 SSC MTS 22/07/2022 (Evening) 
 (a) 42 hr  (b) 40 hr   (c) 36 hrs   (d) 45 hr 
 Q.9.  A  tank  is  to  be  ?lled  completely  with 
 water  for  which  8  pipes  of  the  same  kind 
 are  used.  The  tank  gets  ?lled  in  1  hour 
 and  40  minutes.  If  10  pipes  of  the  same 
 kind,  as  mentioned  above  are  used,  in 
 how  much  time  (in  hours  and  minutes) 
 will the tank be completely ?lled? 
 SSC MTS 22/10/2021(Morning) 
 (a) 1 hour 30 minutes 
 (b) 1 hour 20 minutes 
 (c) 1 hour 45 minutes 
 (d) 2 hours 5 minutes 
 Q.10.  There  are  two  water  taps  in  a  tank 
 which  can  ?ll  the  empty  tank  in  12  hours 
 and  18  hours  respectively.  It  is  seen  that 
 there  is  a  leakage  point  at  the  bottom  of 
 the  tank  which  can  empty  the  completely 
 ?lled  tank  in  36  hours.  If  both  the  water 
 taps  are  opened  at  the  same  time  to  ?ll 
 the  empty  tank  and  the  leakage  point 
 was  repaired  after  1  hour,  then  in  how 
 much  time  the  empty  tank  will  be 
 completely ?lled? 
 SSC CGL 17/08/2021(Afternoon) 
 (a) 7 hours 12 min    (b) 8 hours 24 min 
 (c) 7 hours  (d) 7 hours 24 min 
 Q.11.  Two  pipes  A  and  B  can  ?ll  a  cistern 
 in  12  hours  and  25  hours,  respectively. 
 1 
 2 
 The  pipes  are  opened  simultaneously 
 and  it  is  found  that  due  to  a  leakage  at 
 the  bottom,  It  took  1  hour  and  40  minutes 
 more  to  ?ll  the  cistern.  When  the  cistern 
 is  full,  in  how  much  time  (in  hrs)  will  the 
 leak empty the cistern? 
 SSC CPO 25/11/2020(Evening) 
 (a) 42  (b) 48  (c) 45  (d) 50 
 Q.12.  Pipe  A  and  B  ?ll  a  tank  in  43.2 
 minutes  and  108  minutes,  respectively, 
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 Pinnacle  Day: 59th  Pipe and Cistern 
 Pipe  C  can  empty  it  at  3  litres  per  minute. 
 When  all  the  three  pipes  are  opened 
 together,  they  will  ?ll  the  tank  in  54 
 minutes.  The  capacity  (in  litres)  of  the 
 tank is : 
 SSC CGL Tier II (15/11/2020) 
 (a) 160  (b) 180  (c) 216  (d) 200 
 Q.13.  Pipe  A  can  ?ll  a  tank  of  capacity 
 350  litres  in  3  minutes.  Pipe  B  can  ?ll 
 1 
 2 
 a  tank  of  capacity  780  litres  in  8 
 2 
 3 
 minutes.  What  time  (in  min)  will  it  take  to 
 ?ll  a  tank  of  capacity  1615  litres  when 
 both pipes are opened together? 
 SSC CPO 13/12/2019(Evening) 
 (a) 7  (b) 8  (c) 9  (d) 8 
 1 
 2 
 1 
 2 
 Q.14.  Pipes  A  and  B  can  empty  a  full  tank 
 in  18  hours  and  24  hours,  respectively. 
 Pipe  C  alone  can  ?ll  the  tank  in  36  hours. 
 If  the  tank  is  full  and  all  the  three 
 5 
 6 
 pipes  are  opened  together,  then  in  how 
 many hours will the tank be emptied? 
 SSC CPO 13/12/2019(Morning) 
 (a) 10.5  (b) 12.5  (c) 10  (d) 12 
 Q.15.  A  tank  is  ?lled  in  4  hours  by  three 
 pipes  A,B  and  C.  The  pipe  is  twice  as 
 fast  as  B  and  pipe  B  is  thrice  as  fast  as 
 A.  How  much  time  (in  hrs)  will  pipe  A 
 alone take to ?ll the tank ? 
 SSC CPO 12/12/2019 (Evening) 
 (a) 25  (b) 40  (c) 30  (d) 32 
 Q.16.  Pipes  A  and  B  are  emptying  pipes 
 and  can  empty  a  tank  in  6  hours  and  16 
 hours  respectively.  C  is  a  ?lling  pipe.  All 
 the  three  pipes  were  opened  together. 
 They  took  80  minutes  to  empty  th  of 
 5 
 18 
 the tank. Pipe C alone can ?ll the tank in: 
 SSC CPO 12/12/2019 (Morning) 
 (a) 36 hours  (b) 42 hours 
 (c) 48 hours  (d) 40 hours 
 Q.17.  Pipes  A  and  B  together  can  ?ll  an 
 empty  tank  in  6  minutes.  If  A  takes  3 
 2 
 3 
 minutes  more  than  B  to  ?ll  the  tank,  then 
 the  time  (in  minutes)  in  which  A  alone 
 would ?ll one-third part of the tank is ? 
 SSC CPO 11/12/2019 (Evening) 
 (a) 6  (b) 5  (c) 5.5  (d) 4.5 
 Q.18.  Pipes  A  and  B  are  ?lling  pipes 
 while  C  is  an  emptying  pipe.  A  and  B  can 
 ?ll  a  tank  in  72  and  90  minutes 
 respectively.  When  all  the  three  pipes  are 
 opened  together,  the  tank  gets  ?lled  in  2 
 hours.  A  and  B  are  opened  together  for 
 12  minutes,  then  closed  and  C  is  opened. 
 The tank will be empty (in min) after : 
 SSC CGL TIER II (13/09/2019) 
 (a) 15  (b) 18  (c) 12  (d) 16 
 Q.19.  Pipes  A  and  B  can  ?ll  a  tank  in  16 
 hours  and  24  hours,  respectively,  and 
 pipe  C  alone  can  empty  the  full  tank  in  ?? 
 hours.  All  the  pipes  were  opened 
 together  at  10.30  a.m.,  but  C  was  closed 
 at  2:30  p.m.  If  the  tank  was  full  at  8:30 
 p.m.  on  the  same  day,  then  what  is  the 
 value of  ?  ?? 
 SSC CGL TIER II (12/09/2019) 
 (a) 64  (b) 48  (c) 45  (d) 96 
 Q.20.  Pipes  A,  B  and  C  can  ?ll  a  tank  in 
 30h,  40  h  and  60  h  respectively.  Pipes  A, 
 B  and  C  are  opened  at  7  a.m.,  8  a.m.,  and 
 10  a.m.,  respectively  on  the  same  day. 
 When will the tank be full? (in p.m.) 
 SSC CGL TIER II (11/09/2019) 
 (a) 10.00   (b) 10.20   (c) 9.20  (d) 9.40 
 Q.21.  A  pipe  can  ?ll  a  tank  in  18  hours.  In 
 how  much  time  (in  hours)  will  another 
 pipe  operating  at  one  -  third  the  e?ciency 
 of  the  ?rst  pipe  ?ll  a  tank  whose  capacity 
 is 50% of that of the ?rst tank? 
 SSC MTS 19/08/2019 (Morning) 
 (a) 36  (b) 21  (c) 45  (d) 27 
 Q.22.  An  inlet  pipe  A  originating  from  a 
 river  can  ?ll  a  reservoir  in  30  days.  And 
 an  outlet  pipe  B,  which  is  capable  of 
 emptying  the  completely  ?lled  reservoir 
 in  50  days,  drains  out  the  water  from  the 
 reservoir  to  an  irrigation  canal.  The  pipes 
 are  opened  on  alternate  days  starting 
 with  A.  On  which  day  from  the  beginning 
 will  the  reservoir  get  completely  ?lled  for 
 the ?rst time ? 
 SSC MTS 05/08/2019 (Morning) 
 (a)75th  (b)147th   (c)150th   (d)  74th 
 Q.23.  Pipes  A  and  B  can  ?ll  a  tank  in  one 
 hour  and  two  hours  respectively  while 
 pipe  C  can  empty  the  ?lled  up  tank  in  one 
 hour  and  ?fteen  minutes.  A  and  C  are 
 turned  on  together  at  9  a.m.  After  2 
 hours,  only  A  is  closed  and  B  is  turned 
 on. When will the tank be emptied ? 
 SSC CGL 06/06/2019 (Morning) 
 (a) 12:10 p.m.  (b) 11:30 a.m. 
 (c) 10:30 a.m.  (d) 12:20 p.m. 
 Q.24.  One  tap  can  ?ll  a  tank  in  3  hours 
 and  a  leak  can  empty  it  in  5  hours.  If  the 
 tap  and  the  leak  (which  was  half  closed) 
 were  left  open,  how  long  (in  hrs)  will  it 
 take for the tank to ?ll ? 
 SSC CPO 16/03/2019 (Morning) 
 (a) 4  (b) 5  (c) 6  (d) 7 
 2 
 7 
 1 
 3 
 2 
 3 
 1 
 2 
 Q.25.  Two  pipes  A  and  B  ?ll  tank  in  20 
 min  and  30  min.  respectively.  If  A  is  kept 
 open  for  only  th  of  the  total  time  and  A 
 1 
 5 
 and  B  are  kept  open  for  remaining  time; 
 then  how  much  time  is  taken  by  both 
 pipes to ?ll the tank. 
 SSC CPO 15/03/2019 (Evening) 
 (a) 16  (b) 13  (c) 13  (d) 16 
 5 
 23 
 1 
 23 
 5 
 23 
 1 
 23 
 Q.26.  One  -  fourth  of  a  tank  can  be  ?lled 
 in  3  hours  by  pipe  A  and  one-third  of  the 
 same  tank  can  be  ?lled  in  2  hours  by  pipe 
 B.  How  long  will  it  take  for  the  tank  to  be 
 ?lled if both pipes are kept open ? 
 SSC CPO 14/03/2019 (Morning) 
 (a) 5 h  (b) 2 h  (c) 4 h  (d) 2  h 
 1 
 2    
 Practice Questions 
 SSC CHSL 2023 Tier - 2 
 Q.27.  Two  pipes  can  ?ll  a  cistern 
 separately  in  36  minutes  and  45  minutes, 
 respectively.  A  waste  pipe  can  drain  off 
 40  litres  per  minute.  If  all  the  three  pipes 
 are  opened,  the  cistern  ?lls  in  one  hour. 
 The capacity (in litres of the cistern) is: 
 SSC CHSL Tier II  10/01/2024 
 (a) 600  (b) 1200  (c) 300  (d) 400 
 SSC CGL 2023 Tier - 1 
 Q.28.  Inlet  Pipes  A  and  B  can  together 
 ?ll  an  empty  tank  in  1.5  hours.  Outlet 
 Pipe  C,  when  opened  alone,  can  empty 
 the  completely  ?lled  tank,  in  4.5  hours. 
 When  only  Pipes  A  and  C  are  opened 
 together,  the  empty  tank  is  ?lled  in  6 
 hours.  Find  the  time  taken  by  Pipe  B, 
 when  opened  alone,  to  ?ll  the  empty 
 tank. 
 SSC CGL 19/07/2023 (2nd shift) 
 (a) 3 hours 30 minutes 
 (b) 3 hours 36 minutes 
 (c) 3 hours 32 minutes 
 (d) 3 hours 40 minutes 
 Q.29.  An  inlet  pipe  can  ?ll  an  empty  tank 
 in  120  hours  while  an  outlet  pipe  drains  a 
 completely-?lled  tank  in  54  hours.  If  8 
 inlet  pipes  and  3  outlet  pipes  are  opened 
 simultaneously,  when  the  tank  is  empty, 
 then  in  how  many  hours  will  the  tank  get 
 completely ?lled ? 
 SSC CGL 20/07/2023 (1st shift) 
 (a) 81  (b) 96  (c) 72  (d) 90 
 Q.30.  An  inlet  pipe  can  ?ll  an  empty  tank 
 in  hours  while  an  outlet  pipe  drains  a  4 
 1 
 2 
 completely  ?lled  tank  in  hours.  The  7 
 1 
 5 
 tank  is  initially  empty,  and  the  two  pipes 
 are  alternately  opened  for  an  hour  each, 
 till the tank is completely ?lled, starting 
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 Pinnacle  Day: 59th  Pipe and Cistern 
 with  the  inlet  pipe.  In  how  many  hours 
 will the tank be completely ?lled? 
 SSC CGL 21/07/2023 (2nd shift) 
 (a) 24    (b)  (c)  (d)  20 
 1 
 4 
 20 
 3 
 4 
 22 
 3 
 8 
 Q.31.  A  pipe  can  ?ll  a  tank  in  30  hours. 
 Due  to  a  leakage  at  the  bottom,  it  is  ?lled 
 in  50  hours.  How  much  time  (in  hrs)  will 
 the  leakage  take  to  empty  the  completely 
 ?lled tank? 
 SSC CGL 24/07/2023 (2nd shift) 
 (a) 60  (b) 85  (c) 70  (d) 75 
 Q.32.  Pipe  A  and  pipe  B  running  together 
 can  ?ll  a  cistern  in  6  minutes.  If  B  takes  5 
 minutes  more  than  A  to  ?ll  it,  then  the 
 time  in  which  A  and  B  will  ?ll  that  cistern 
 separately will be, respectively,_________. 
 SSC CGL 26/07/2023 (2nd shift) 
 (a) 15 min and 10 min 
 (b) 15 min and 20 min 
 (c) 25 min and 20 min 
 (d) 10 min and 15 min 
 SSC MTS 2022 Tier - 1 
 Q.33.  Two  taps  P  and  Q  can  ?ll  a  tank 
 alone  in  10  hours  and  12  hours 
 respectively.  If  the  two  taps  are  opened 
 at  9  a.m.,  then  at  what  time  should  the 
 tap  P  be  closed  to  completely  ?ll  the  tank 
 at exactly 3 p.m. ? 
 SSC MTS 16/06/2023 (Morning) 
 (a) 2 p.m (b) 1 p.m  (c) 3 p.m (d) 12 p.m 
 Q.34.  Two  pipes  can  ?ll  a  tank  alone  in 
 20  hours  and  24  hours  respectively  and 
 an  outlet  pipe  alone  can  empty  20 
 gallons  of  water  per  hour.  All  the  three 
 pipes  working  together  can  ?ll  the  same 
 empty  tank  in  40  hours.  What  is  the 
 capacity of the tank ? 
 SSC MTS 16/06/2023 (Afternoon) 
 (a) 450 gallons  (b) 300 gallons 
 (c) 600 gallons  (d) 480 gallons 
 SSC CHSL 2022 Tier - 1 
 Q.35.  15  taps  can  ?ll  a  tank  in  36 
 minutes.  How  many  taps  will  be  required 
 to ?ll the tank in one hour? 
 SSC CHSL 15/03/2023 (2nd Shift) 
 (a) 12  (b)  9  (c)  8  (d) 6 
 SSC CGL 2022 Tier - 2 
 Q.36.  There  are  two  inlets  A  and  B 
 connected  to  a  tank.  A  and  B  can  ?ll  the 
 tank  in  32  h  and  28  h,  respectively.  If  both 
 the  pipes  are  opened  alternately  for  1  h, 
 starting  with  A,  then  in  how  much  time 
 (in  hours,  to  nearest  integer)  will  the  tank 
 be ?lled ? 
 SSC CGL Tier II (03/03/2023) 
 (a) 22  (b) 30  (c) 36  (d) 24 
 SSC CGL 2022 Tier - 1 
 Q.37.  There  are  3  taps  A,  B,  and  C  in  a 
 tank.  These  can  ?ll  the  tank  in  10  hours, 
 20  hours  and  25  hours,  respectively.  At 
 ?rst,  all  three  taps  are  opened 
 simultaneously.  After  2  hours,  tap  C  is 
 closed  and  A  and  B  keep  running.  After  4 
 hours  from  the  beginning,  tap  B  is  also 
 closed.  The  remaining  tank  is  ?lled  by  tap 
 A  alone.  Find  the  percentage  of  work 
 done by tap A itself. 
 SSC CGL 05/12/2022 (4th Shift) 
 (a) 32%  (b) 75%   (c) 52%  (d) 72% 
 SSC Selection Post (Phase - X) 
 Q.38.  Two  pipes  X  and  Y  can  ?ll  a  tank  in 
 12  minutes  and  18  minutes,  respectively. 
 If  both  the  pipes  are  opened 
 simultaneously,  how  long  will  it  take  to  ?ll 
 the tank (in mins) ? 
 Higher Secondary 03/08/2022 ( Shift - 4 ) 
 (a) 15     (b)  (c) 14      (d) 7 
 5 
 36 
 1 
 5 
 SSC MTS 2021 Tier - 1 
 Q.39.  Tap  A  can  ?ll  an  empty  tank  alone 
 in  6  hours,  Tap  B  alone  can  empty  the 
 same  tank,  when  ?lled,  in  8  hours.  If  they 
 are  opened  in  alternate  hours  starting 
 with  A,  then  in  how  much  time  (in  hrs) 
 will the tank be full for the ?rst time ? 
 SSC MTS 05/07/2022 (Afternoon) 
 (a) 44  (b) 47  (c) 48  (d) 41 
 Q.40.  Three  Pipes,  D,  E  and  F,  can  ?ll  a 
 tank  in  6  min  ,  8  min  and  12  min, 
 respectively.  All  the  pipes  are  opened 
 simultaneously.  And  then  pipes  D  and  E 
 are  closed  3  minutes  before  the  tank  is 
 full.  In  how  much  time  (in  min)  will  the 
 tank be  full ? 
 SSC MTS 07/07/2022 (Evening) 
 (a) 5  (b) 3  (c) 6  (d) 4 
 Q.41.  Pipe  A  can  ?ll  an  empty  cistern  in  6 
 hours  and  pipe  B  can  ?ll  the  same  empty 
 cistern  in  8  hours.  Both  the  pipes  are 
 opened  simultaneously  but  after  two 
 hours,  pipe  A  is  closed.  How  many  hours 
 will  B  take  to  ?ll  the  remaining  part  of  the 
 cistern ? 
 SSC MTS 21/07/2022 (Afternoon) 
 (a) 2       (b) 3  (c) 3  (d) 4 
 1 
 3 
 2 
 3 
 SSC CHSL 2021 Tier - 1 
 Q.42.  A container is normally ?lled in 5 
 hours.  However,  it  takes  6  hours  when 
 there  is  a  leak  at  the  bottom.  If  the 
 container  is  full,  at  what  time  would  the 
 leak  empty  it,  if  no  water  is  allowed  into 
 the container during that period? 
 SSC CHSL 30/05/2022 (Morning) 
 (a) 5 h  (b) 6 h  (c) 15 h  (d) 30 h 
 Q.43.  Manoj  and  his  wife  Swathi  ?ll  a 
 tank  with  water  fetched  from  a  well. 
 Manoj  fetches  5  liters  of  water  in  4 
 minutes  whereas  Swathi  fetches  4  liters 
 of  water  in  5  minutes.  Find  the  time 
 taken  by  them  together  to  fetch  205 
 liters of water. 
 SSC CHSL 03/06/2022 (Morning) 
 (a) 2 hours             (b) 80 minutes 
 (c) 100 minutes    (d) 1 hour 30 minutes 
 SSC CGL 2020 Tier - 2 
 Q.44.  In  6  minutes,  of  a  bucket  is 
 4 
 13 
 ?lled.  How  much  time  will  it  take  to  ?ll 
 the remaining bucket? 
 SSC CGL Tier  II (29/01/2022) 
 (a) 14 minutes 30 seconds 
 (b) 11 minutes 30 seconds 
 (c) 13 minutes 30 seconds 
 (d) 12 minutes 30 seconds 
 Q.45.  A  tap  can  ?ll  a  tank  in  5  hours. 
 1 
 2 
 Because  of  a  leak,  it  took  8  hours  to 
 1 
 4 
 ?ll  the  tank.  In  how  much  time  (in  hours) 
 will the leak alone empty 30% of the tank 
 SSC CGL Tier II (29/01/2022) 
 (a)  (b)  (c)  (d) 
 9 
 2 
 99 
 20 
 5 
 2 
 17 
 2 
 Q.46.  Two  pipes  A  and  B  can  ?ll  a  cistern 
 in  12  hours  and  25  hours,  respectively. 
 1 
 2 
 The  pipes  were  opened  simultaneously, 
 and  it  was  found  that,  due  to  leakage  in 
 the  bottom,  it  took  1  hour  40  minutes 
 more  to  ?ll  the  cistern.  If  the  cistern  is 
 full,  in  how  much  time  (in  hours)  will  the 
 leak alone empty 70% of the cistern? 
 SSC CGL Tier II (29/01/2022) 
 (a) 50  (b) 40  (c) 35  (d) 30 
 Q.47.  Pipes  A,  B  and  C  can  ?ll  a  tank  in 
 20,  30  and  60  hours,  respectively.  Pipes 
 A,  B  and  C  are  opened  at  7  a.m.,  8  a.m., 
 and  9  a.m.,  respectively,  on  the  same  day. 
 When will the tank be full? 
 SSC CGL Tier II (03/02/2022) 
 (a) 4:40 p.m.  (b) 5:40 p.m. 
 (c) 6:20 p.m.  (d) 7:20 p.m. 
 SSC MTS 2020 Tier - 1 
 Q.48.  Pipes A, B, and C can ?ll a tank in 
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 Pinnacle  Day: 59th  Pipe and Cistern 
 30  hours,  36  hours  and  28  hours, 
 respectively.  All  the  three  pipes  were 
 opened  simultaneously.  If  A  and  C  were 
 closed  5  hours  and  8  hours,  respectively, 
 before  the  tank  was  ?lled  completely, 
 then  in  how  many  hours  was  the  tank 
 ?lled? 
 SSC MTS 08/10/2021 (Afternoon) 
 (a) 12  (b) 14  (c) 16  (d) 15 
 Q.49.  Pipes  A  and  B  can  ?ll  a  tank  in  15 
 hours  and  12  hours,  respectively.  Pipe  C 
 alone  can  empty  the  full  tank  in  10  hours. 
 If  all  the  three  pipes  are  opened  together 
 for  2  hours  40  minutes,  then  what  part  of 
 the tank will remain un?lled? 
 SSC MTS 14/10/2021 (Afternoon) 
 (a)  (b)  (c)  (d) 
 3 
 20 
 13 
 15 
 2 
 15 
 17 
 20 
 Q.50.  Pipes  A  and  B  can  ?ll  a  tank  in  18 
 minutes  and  30  minutes,  respectively. 
 Pipe  C,  attached  to  the  tank  ,  can  drain 
 off  125  litres  of  water  per  minute.  If  all 
 the  pipes  are  opened  together,  the  tank  is 
 ?lled  in  45  minutes.  The  capacity  of  the 
 tank in litres, is: 
 SSC MTS 14/10/2021 (Evening) 
 (a) 1500  (b) 1375  (c) 1875  (d) 2000 
 Q.51.  Two  inlet  pipes  can  separately  ?ll  a 
 cistern  completely  in  8  hours  and  10 
 hours,  respectively.  They  are  operated  for 
 2  hours,  after  which  the  second  pipe  is 
 closed,  and  an  outlet  pipe  which  can 
 drain  out  water  from  the  full  cistern  in  20 
 hours  is  opened.  How  much  time  will  it 
 take  to  ?ll  the  cistern  completely  from 
 the instant of opening the outlet pipe ? 
 SSC MTS 02/11/2021 (Evening) 
 (a) 7 hours 
 (b) 8 hours 
 (c) 7 hours 20 minutes 
 (d) 8 hours 40 minutes 
 SSC CGL 2020 Tier - 1 
 Q.52.  Two  pipes  A  and  B  can  ?ll  an 
 empty  tank  in  10  hours  and  16  hours 
 respectively.  They  are  opened 
 alternatively  for  1  hour  each,  opening 
 Pipe  B  ?rst.  In  how  many  hours,  will  the 
 empty tank be ?lled ? 
 SSC CGL 20/08/2021 (Afternoon) 
 (a) 12  (b) 14  (c) 10  (d) 16 
 2 
 5 
 2 
 5 
 2 
 5 
 2 
 5 
 Q.53.  A  tank  is  ?lled  in  4  hours  by  three 
 pipes  A,  B  and  C.  The  pipe  C  is  1  times 
 1 
 2 
 as  fast  as  B  and  B  is  3  times  as  fast  as  A. 
 How  many  hours  will  pipe  A  alone  take  to 
 ?ll the tank ? 
 SSC CGL 24/8/2021 (Evening) 
 (a) 17  (b) 34  (c) 30  (d) 15 
 SSC CHSL 2020 Tier - 1 
 Q.54.  Pipes  A  and  B  can  empty  a  full  tank 
 in  36  and  45  minutes,  respectively, 
 whereas  pipe  C  alone  can  ?ll  the  tank  in 
 15  minutes.  B  and  C  are  opened  together 
 for  15  minutes,  and  then  both  are  turned 
 off  and  A  is  opened.  Pipe  A  will  empty 
 the tank in how many hours (in minutes). 
 SSC CHSL 19/04/2021 (Afternoon) 
 (a) 30  (b) 18  (c) 20  (d) 24 
 SSC CPO 2020 Tier - 1 
 Q.55.  Pipe  A,  B  and  C  can  ?ll  an  empty 
 tank  in  hours,  if  all  the  three  pipes 
 30 
 7 
 are  opened  simultaneously  A  and  B  are 
 ?lling  pipe  and  C  is  an  emptying  pipe. 
 Pipe  A  can  ?ll  the  tank  in  15  hours  and 
 pipe  C  can  empty  it  in  12  hours.  In  how 
 many  hours  can  pipe  B  alone  ?ll  the 
 empty tank ? 
 SSC CPO 24/11/2020 (Morning) 
 (a) 6  (b) 3  (c) 5  (d) 4 
 SSC CGL 2019 Tier - 1 
 Q.56.  Pipes  A  and  B  can  ?ll  a  tank  in  10 
 hours  and  40  hours,  respectively.  C  is  an 
 outlet  pipe  attached  to  the  tank.  If  all  the 
 three  pipes  are  opened  simultaneously,  it 
 takes  80  minutes  more  time  than  what  A 
 and  B  together  take  to  ?ll  the  tank.  A  and 
 B  are  kept  open  for  7  hours  and  then 
 closed  and  C  is  opened.  C  will  now 
 empty the tank in: (in hrs) 
 SSC CGL 05/03/2020 (Morning) 
 (a) 45.5  (b) 38.5    (c) 42  (d) 49 
 SSC CPO 2019 Tier - 1 
 Q.57.  Three  pipes,  A,  B,  C  can  ?ll  an 
 empty  cistern  in  2,  3  and  6  hrs 
 respectively.  They  are  opened  together. 
 After  what  time  B  should  be  closed,  so 
 that  the  cistern  gets  ?lled  in  exactly  1  hr 
 15 min ? 
 SSC CPO 09/12/2019 (Morning) 
 (a) 30 min (b) 20 min (c) 45 min (d) 15 min 
 Q.58.  Pipes  A,  B  and  C  together  can  ?ll  a 
 cistern  in  12  hours.  All  the  three  pipes 
 are  opened  together  for  4  hours  and  then 
 C  is  closed.  A  and  B  take  10  hours  to  ?ll 
 the  remaining  part  of  the  cistern.  C  alone 
 will ?ll two - thirds of the cistern in: 
 SSC CPO  09/12/2019 (Evening) 
 (a) 40 hours  (b) 48 hours 
 (c) 60 hours  (d) 50 hours 
 Q.59.  Pipes  A,  B  and  C  can  ?ll  a  tank  in 
 10,  15  and  30  hours  respectively.  D  is  an 
 emptying  pipe  which  alone  can  empty 
 the  full  tank  in  hours.  A,  B  and  C  are  ?? 
 opened  together  for  3  hours  and  then 
 closed.  Now  D  is  opened  which  alone 
 can  empty  the  tank  in  30  hours.  What  is 
 the value of  ?  ?? 
 SSC CPO 09/12/2019 (Evening) 
 (a) 40  (b) 50  (c) 60  (d) 45 
 Q.60.  Pipes  P  and  Q  can  ?ll  a  tank  in  18 
 and  27  minutes,  respectively,  whereas 
 pipe  R  can  empty  the  full  tank  in  54 
 minutes.  P  and  Q  were  opened  together 
 for  6  minutes  and  then  closed  and  R  was 
 opened.  The  tank  was  emptied  by  R 
 alone in : (in min) 
 SSC CPO 11/12/2019 (Morning) 
 (a) 30  (b) 40  (c) 35  (d) 45 
 Q.61.  Three  pipes,  A,B  and  C  ,  can  ?ll  a 
 cistern  in  12,  18  and  24  minutes, 
 respectively.  If  all  the  pipes  are  opened 
 together  for  7  minutes,  what  will  be  the 
 volume  of  the  water  that  over?ows  as  the 
 percentage  of  the  total  volume  of  the 
 cistern? 
 SSC CPO 11/12/2019 (Morning) 
 (a) 26  (b) 23  (c) 23  (d) 26 
 7 
 18 
 1 
 3 
 2 
 3 
 5 
 18 
 Q.62.  Taps  A  and  B  can  ?ll  a  tank  in  15 
 minutes  and  10  minutes,  respectively 
 while  tap  C  can  empty  the  full  tank  in  ?? 
 minutes.  If  all  three  taps  are  opened 
 together,  the  tank  is  ?lled  completely  in  8 
 minutes.  Tap  C  alone  will  empty  th 
 3 
 8 
 part of the tank in: 
 SSC CPO 13/12/2019 (Morning) 
 (a) 10 minutes  (b) 10.5 minutes 
 (c) 9 minutes  (d) 8.5 minute 
 SSC CPO 2018 Tier - 1 
 Q.63.  Two  pipes  A  and  B  can  ?ll  an 
 empty  tank  in  8  hours  and  12  hours 
 respectively.  They  are  opened  alternately 
 for  1  hour  each  starting  with  pipe  A  ?rst. 
 In  how  many  hours  will  the  empty  tank  be 
 ?lled ? 
 SSC CPO 12/03/2019 (Evening) 
 (a) 9  (b) 9  (c) 9  (d) 9 
 1 
 3 
 1 
 2 
 1 
 4 
 Answer Key :- 
 1.(d)  2.(d)  3.(c)  4.(d) 
 5.(d)  6.(d)  7.(d)  8.(d) 
 9.(b)  10.(d)  11.(d)  12.(c) 
 13.(b)  14.(d)  15.(b)  16.(c) 
 17.(b)  18.(b)  19.(d)  20.(c) 
 21.(d)  22.(b)  23.(d)  24.(a) 
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 Pinnacle  Day: 59th  Pipe and Cistern 
 25.(b)  26.(c)  27.(b)  28.(b) 
 29.(d)  30.(c)  31.(d)  32.(d) 
 33.(a)  34.(b)  35.(b)  36.(b) 
 37.(d)  38.(d)  39.(d)  40.(a) 
 41.(b)  42.(d)  43.(c)  44.(c) 
 45.(b)  46.(c)  47.(b)  48.(d) 
 49.(b)  50.(c)  51.(c)  52.(a) 
 53.(b)  54.(d)  55.(d)  56.(d) 
 57.(a)  58.(a)  59.(b)  60.(a) 
 61.(a)  62.(c)  63.(c) 
 Solutions:- 
 Sol.1.(d) 
 According to the question, 
 = ?
 48 
( 7    - ?? )   
-
 48 
 7 
 3 
 2 
 32  =  39  = 49 ? ??  7 ( 7    - ?? ) ? ?? 
 E?ciency of Leakage (  ) =  unit  ?? 
 49 
 39 
 Hence, 
 required time =  = 
 48 
   
 49 
 39 
 48     ×     39 
 49 
 = 38  days 
 10 
 49 
 Sol.2.(d) 
 Time taken to ?ll the tank = 
 25 . 2 
 7    -    4 
= 8 . 4     h???????? 
 Sol.3.(c)  =  ?? 
 1 
 ×  ?? 
 1 
 ×  h 
 1 
 ?? 
 2 
 ×  ?? 
 2 
 ×  h 
 2 
 1 hour 40 min. = 100 min. 
 100 × 5 = 4 × time 
 Time = 125 min. 
 Sol.4.(d) 
 Required time to ?ll the tank by A and B 
 =  = 153 hours 
 153 
 3    -    2 
 Sol.5.(d) 
 Part  of  the  tank  emptied  by  pipe  and  ?? 
 1 
 in two hours = 2 × (  +  ) =  units  ?? 
 2 
 16 
 3 
 4 
 56 
 3 
 Remaining ?lled part of the tank 
 =  80 -  = 
 56 
 3 
 184 
 3 
 E?ciency of all pipes together 
 =  (  +  -  ) =  + 4 - 2  =  ?? 
 1 
 ?? 
 2 
 ?? 
 3 
 16 
 3 
 22 
 3 
 time  taken  to  ?ll  the  remaining  tank  by  all 
 3 pipes =  =  hours 
 184     ×     3 
 3     ×     22 
 92 
 11 
 Sol.6.(d) 
 According to the question , 
 105 =  ? 72  20  = 12 
 1260 
 8     ×     9    -   ( ??     ×     20 )
- ?? 
 = 3 outlet pipe connected.  ?? 
 Sol.7.(d)  According to question , 
 E?ciency  of  three  taps  square  of  the a
 diameter of the pipe 
 Ratio of e?ciency =  :  :  2 ( )
 2 
 3 ( )
 2 
 4 ( )
 2 
 =   4    :    9   :  16 
 Total  time  taken  by  all  three  tap  together 
 =  = 
 ??????????     ???????????????? 
 ??????????     ???????????????????? 
 1296 
( 4    +    9    +    16 )
 =  =  44  minute 
 1296 
 29 
 20 
 29 
 Sol.8.(d) 
 Time taken by A and B together to ?ll the 
 tank =  = 7.5 hours 
 30 
 3    +    1 
 Time  taken  by  A  and  B  together  to  ?ll  the 
 tank along with leakage pipe 
 = (7.5 + 1.5) = 9 hours 
 Now, E?ciency of leakage pipe 
 = A + B - C = 
 30 
 9 
 4 - C =  C = ?
 10 
 3 
?
 2 
 3 
 So, Time taken by leakage pipe to empty 
 the tank =  = 45 hours 
 30 
 2 
 3 
 Sol.9.(b) 
 Let the e?ciency of each pipe be 1 unit. 
 E?ciency of 8 pipes = 8 units. 
 E?ciency of 10 pipes = 10 units. 
 1 hour 40 minutes = 100 minutes. 
 We know that, 
 =  ? 8 × 100 = 10  ×  ?? 
 1 
    ×        ?? 
 1 
 ?? 
 2 
    ×        ?? 
 2 
 ?? 
 2 
 = 8 × 10 = 80 minutes.  ?? 
 2 
 = 1 hour 20 minutes. 
 Sol.10.(d) 
 Water  ?lled  by  Tap  1,  2  and  leakage  in  1 
 hour = (3 + 2 – 1) = 4 unit 
 Remaining water to ?lled=36 – 4 = 32 unit 
 Time taken to ?ll remaining tank = 
 32 
 5 
 = 6 hours 24 min 
 total Time taken to ?ll tank 
 = 6 hr. 24 min + 1 hr. = 7 hr. 24 min 
 Sol.11.(d) 
 Time  taken  to  ?ll  the  tank  Without 
 leakage =  = 8 hr 20 min 
 25 
 3 
 With leakage = 8 hr  20 min + 1 hr  40 min 
 = 10 hr. 
 E?ciency with leakage =  = 2.5 unit 
 25 
 10    
 E?ciency of leakage = 
 e?ciency  of  (A  +  B)  -  E?ciency  with 
 leakage = 3 - 2.5 =  0.5 unit 
 Time required to empty the tank 
 =  = 50 hr 
 25 
 0 . 5 
 Sol.12.(c) 
 E?ciency of C = 10 + 4 - 8 = 6 units 
 Time taken by C to empty the tank 
 =  = 
 432 
 6 
 72     ?????? 
 Capacity of the tank = 72  3 = 216 × ?????????? 
 Sol.13.(b)  A  350 liter  in  3  minute ?
 1 
 2 
 In one minute =  = 100 liter 
 350    ×    2 
 7 
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