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GUIDE MAT PRACTICE TIME & WORK

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Published in: CAT Exam | MBA
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This practice set contains total 99 multiple choice questions with answers. Time allotted is 60 minutes.

Debarati M / Kolkata

13 years of teaching experience

Qualification: M.Sc (Calcutta University - 1999), ICWA ( - 2003), M.Com (Calcutta University - 1997), MBA/PGDM (MAKAUT - 2012), Ph.D (MUMBAI IIT - 0)

Teaches: Accountancy, Business Mathematics, Commerce Subjects, Economics, B.Com Tuition, Bachelor of Tourism Administration, BBA Tuition, BTTM, Hotel Management, Bank Clerical, Bank PO, Bachelor of Hospital Administration (BHA), BBA Subjects, Management Subjects, MBA Entrance, CAT Exam, CMAT, Hotel Management Entrance, IBSAT, MAT, NMAT

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  1. GUIDE SINCE - GUIDE CATIMATICMAT PREPARATION PH -987480541 3 TIME & 'NOR K-3 1. A can do a piece of work in 30 days while B can do it in 40 days. In how many days can A and B together to do it? a) 40 4/3 days b) 27 1/7days c) 70 days d) 17 1/7days 2. A, B and C together earn Rs.150 per day while A and C together earn Rs.94 and B and C together earn Rs.76.The daily earning of C is of Rs.? a) 56 b) 75 c) 20 d) 34 3. A and B can do a work in 10 days, B and C can do in 15 days and A and C can do it in 12 days. In how many days A will finish the work? a) 40 b) 20 c) 30 d) 25 4. 8 children and 12 men complete a certain piece of work in 9 days. Each child takes twice the time taken by a man to finish the work. In how many days will 12 men finish the same work? c) 15 d) 12 5. If 40 men working 9 hours a day can finish a work in 21 days, in how many days will 27 men working 10 hours a day do the same work? a) 20days b) 28 days c) 29 days d) 25 days 6. A and B together can do a piece of work in 4 days but A alone can do it in 16 days. B alone can do the work in..days. a) 8 h days b) 7 1/3 days c) 5 1/3 days d) 6 1/3 days 7. A dose half as much work as B in three fourth of the time. If together they take 18 days to complete the work, how much time will B take to do it? a) 30 days b) 35 days c) 40 days d) 45 days 8. A can complete a job in 9 days, B in 10 days ,C in 15 days. B and C start the work together and are forced to leave after 2 days. The time taken complete the remaining work is a) 13 days b) 10 days c) 9 days d) 6 days 9. A and B together finish a work in 30 days they worked for it for 20 days and then B left. The remaining work was done by A alone in 20 more days. B alone can finish the work in a) 48 days b) 50days c) 54 days d) 60 days 10. If 3 men or 6 women can do a piece of work in 23 days, then 2 men and 4 women will do the same work in? a) 14 2/3 days b) 13 4/5 days c) 18 days d) 16 3/5 days 11. A certain number of men complete a piece of work in 50 days. If there were 8 men more the work could be finished in 10 days less. How many men were originally there? a) 40 b) 50 c) 32 d) 25 12. The rates of working of R and P are in the ratio 8:5. the number of days taken by them to finish the work are in the ratio : b) 13 : 8 c) 13 : 5 13. A sum of money is sufficient to pay P's wages for 25 days or Q's wages for 30 days. The money is sufficient to pay the wages of both for a) 13 5/11 days b) 13 days c) 13 6/11 days d) 13 7/11 14. A cistern normally takes 7 hours to fill by a tap but because of a leak, it takes 1 hour more. In how many hours will the leak empty a full cistern? a) 56 b) 40 c) 48 d) 59 15. Pipe A can fill an empty tank is 5 hours while pipe B can empty the full tank in 8 hours. If both are opened in the empty tank, it will be full in a) 12 hours 30 minute b) 9 hours 20 minute c) 13 hours 20 minute d) 12 hours 20 minute
  2. 16. One tap can fill a cistern in 4 hours another tank can empty the cistern in 7 hours. How long they take fill the cistern if both the tap are opened? a) 10 hrs 45 min b) 9 hrs 20 min c) 13 hrs 5 min d) 13 hrs 17. A cistern has two taps which fill it 12 minutes and 15 minutes respectively there is also a waste empty cistern is full in 20 minutes. How long will the waste pipe take to empty a full cistern? a) 17 min b) 15 h min c) 13 min d) 10 min 18. A cistern can be filed by pipe by A and B in 12 min and 16 min respectively. When full the tank can be emptied by a third pipe C in 248 min only. If all the taps be turned on at the same time, the cistern will be full in: a) 5 min b) 4 /15 min c) 6 /3 min d) 7 min 19. Three men and four women and six children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women can complete the work in 7 days? c) 12 d) none of these 20.7 men and 4 boys can complete a work in 7 days. A man completes double the work than a boy. In how many days will 5 men and 4 boys can complete the work? 21. If 12 men or 15 women can reap a fill in 44 days, then the number of boys that 8 men and 12 women take to reap the given field would be a) 20 b) 24 c) 30 d) 32 22. A and B can complete a piece of work in 15 days and 10 days respectively. They contract to complete the work of Rs.30,000. The share of A in the contracted money will be of Rs.? a) 18000 b) 16,500 c) 12,500 d) 12,000 23. 10 men working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the same work In 12 days? b) 10 c) 12 d) 15 24. A and B can do a piece of work in 20 days and 12 days respectively. A started work alone and then after 4 days B joined with him till the completion the work. How long did he work last? a) 10 days b) 20 days c) 15 days d) 6 days 25.6 men and 12 women can do a piece of work in 20 days. In how many days can 8 men and 16 women do twice as big work as this? c) 15 d) 10 26.5 persons can prepare an admission list in 8 days working 7 hours. If 2 persons join them so as to complete the work in 4 days, they need to work per day. a) 10 hours b) 9 hours c) 12 hours d) 8 hours 27. A man can do a piece of work in 5 days, but with the help of his son, he can do it in 3 days. In what time the son do it alone? a) 10 days b) 8 days c) 7 h days d) 6 h days 28. 10 men complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work get completed? b) 7 2/3 29. If 4 workers can make 42 toys in 6 days, how many toys can 12 workers make in 3 days? a) 63 b) 28 c) 252 30. Six men ten boys can do a piece of work in fifteen days. How long would it take for 12 men and 5 boys to do the same piece of work? a) 6 days b) 28 days c) 25 days d) 7 days 31.56 men complete a work in 12 days. How many men will be required to complete the work in 16 days? a) 38 b) 24 c) 42 d) 48 32. Prabir alone can complete a job in 12 hours. Jay along can complete the same job in 6 hours. How many hours will take together to complete the job? GUIDE B.COWBBNMBA PREPARATION
  3. 33. Sa, Ra and Ga can do a job alone in 15 days, 10 days and 30 days respectively. Sa helped by Ra and Ga every third day. In how many days will the job will completed? a) 9 days b) 8 1/3 days c) 8 days d) 6 1/3 days 34. Three workers working all days can do a work in 10 days. But one of them having other employment can work only half time. In how many days the work can be finished? a) 15 days b) 16 days c) 12 days d) 125 days 35. Worker A takes 8 hours to do a job. worker B 10 hours to do the same job. How long should it take, worker A and B, working together but independently, do the same job? a) 4 1/9 hrs b) 4 2/9 hrs c) 4 4/9 hrs d) 4 5/9 hrs 36. A worker makes a toy every /3 hour. If the worker works for 7 h hours, then how many toys will he make? a) 11 % toys b) 13 % toys c) 13 1/4 toys d) 11 1/4 toys 37. Rajib is 4 times as fast as Anjan in completing any work. Ajay takes 15 days more then Rajib to finish the same work. If both work together then how many days the work will be completed? a) 3 days b) 4 days c) 5days d) 20 days 38. If a person makes 'J' jobs in 'M' minutes, then how many jobs will he make in 2/3 hour? a) 2J/3M b) 2M c) 40 J/M d) 40 M/J 39. A certain job was assigned to a group of men to do in 20 days. But 12 men did not turn up for the job and the remaining men did the job in 32 days. The original number of men in the group was? a) 32 b) 34 c) 38 d) 40 40. 15 men take 12 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take, if 3 women do as much work as 2 men? a) 20 b) 18 c) 25 d) 30 41. If four examiners can examine a certain number of answer books in 8 days by working 5 hours a day, then for how many hours a day, would two examiners have to work in order to examine twice the number of answer books in 20 days? a) 6 hrs b) 71/2 hrs c) 8 hrs d) 9 hrs 42. A computer can perform 30 identical takes in six hours. At that rate, what is the minimum number of computes that should be assigned to complete 50 of the takes within 3 hours? c) 12 d) 16 43. A man completes 5/8 of a job in 10 days. At this rate, how many more days will it take him to finish the job? d) 7 1/2 44. A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together they will complete the same work in? a) 1/4 day b) 7/24 day c) 3 3/7 days d) 4 days 45.39 persons can repair a road in 12 days working 5 hours a day. In how many days will 30 persons working 6 hours a day complete the work? a) 10 b) 13 c) 14 d) 15 46. A man, a woman and a boy can do a pierce of work in 3, 4 and 12 days respectively. How many boys must be assist one man and one woman to do the same work in one day? 47. Worker A takes 8 hour to do a job, worker B takes 10 hours to do the same Job. How long should take worker A and B working together but independently, to do the same job? a) 4 1/9 hrs b) 4 2/9 hrs c) 4 4/9 hrs d) 45/9 hrs 48. A can do a job in 6 days, while A and B together can do it in 2 days. How long would it take B to the job alone? a) 3 days b) 4 days c) 5 days d) 6 days 49. If 5 men and 9 women can do a piece of work in 19 days, then in how many days will 3 men and 6 women do the same work? a) 15 days b) 12 days c) 18 days d) 21 days
  4. 50. A can do a piece of work in 25 days and B can finish it in 20 days. They work together for 5 days and then A goes away. In how many days will B alone finish the remaining work? a) 15 days b) 12 days c) 10 days d) 11 days 51. If 8 men can reap 80 hectares in 24 days, then how many hectares can 36 men reap in 30 days? a) 350 hec b) 400 hec c) 450 hec d) 425 hec 52. A is 30% more efficient than B. How much time will they, working together, take to complete a job if A alone could have done in 23 days? a) 11 days b) 13 days c) 20 3/17 days d) none of these 53. Working on an assembly line a women worker manufactures 15 bases for an instrument while a man worker fixes 12 super-structures per hour, working eight hours a day, how many man and women respectively are needed to assemble 2400 piece in a day? a) 200,160 b) 120,96 c) 25,20 d) none of these 54. A certain number of persons can complete a piece of work in 55 days. If there were 16 persons more, the work could be finished in 11 days less. How many persons were originally there? a) 17 b) 24 c) 30 d) 22 55. A can do a piece of work in 60 days. He works for 15 days and then B alone finishes the remaining work in 30 days. They two together can finish the work in: a) 24 days b) 25 days c) 30 days d) 32 days 56. A wall of 100 meters can be built by 7 men or 10 women in 10 days. How many days will 14 men and 20 women take to build wall of 600 meters? a) 15 b) 20 c) 25 d) 30 57. A can finish a work in 24 days B in 9 days and C in 12 days, B and C start the work but are forced to leave after 3 days. The remaining work is done by A in: a) 5 days b) 6 days c) 10 days d) 10 h days 58.8 men can do a work in 12 days. After 6 days of work, 4 more men were engaged to finish the work. In how many days would the remaining work be completed? 59. If 3 men and 4 women can plough a filed in 43 days, how long will 7 men and 5 women take to plough it? a) 9 days b) 10 days c) 11 days d) 12 days 60. If 72 men can build a wall 280 m long in 21 days. How many men will take 18 days build a similar type of wall length 100 m? a) 30 b) 10 c) 18 d) 28 61. A and B can together finish a work in 30 days. They worked together for 20 days and then B left. After another 20 days A finished the remaining work. In how many days can A alone finish the job? a) 50 b) 60 c) 48 d) 64 62. A can finish a work in 17 days and B can do the same work in half the time taken by A. Then working together what part of the same work can they finish in 9 days? a) 1/6 c) 1/9 d) 2/7 63. A & B can do a piece of work in 4 hours. B and C can do it in 3 hours. A and C can do it in 2 hours. How long will B alone take to do it? a) 10 hours b) 12 hours c) 2 hours d) 24 hours 64. A dose half as much work as B in one sixth of the time. If together thy take 10 days to complete a work , how much time shall B take to do it alone? a) 70 days b) 30 days c) 40 days d) 50 days 65. A and B can do a piece of work in 10 days, B and C in 15 days, C and A in 20 days. C alone can do the work in: a) 60 days b) 120 days c) 80 days d) 30 days 66. A man, a women and a boy can together complete a piece of work in 3 days.lf a man alone can do it in 6 days and a boy can do it in 18 days, how long a woman alone take to complete the work? a) 9 days b) 21 days c) 24 days d) 27 days 67. If 5 men or 8 women can do a piece of work in 12 days, How many days will be taken by 2 men and 4 women to do the same work?
  5. a) 15 days b) 13 h days c) 13 1/3 days d) 10 days 68. A and B together complete a piece of work in 10 days. If A alone takes 30 days, then how many days B alone take to complete the same work? a) 12 b) 15 c) 20 d) 25 69. A job can be completed by 12 men in 12 days. How many extra days will be needed to complete the job in 6 men leave after working for 6 days? b) 12 d) 24 70. A can do a piece of work in 12 days, while B can do it in 8 days with the help of C, they finish the work in 4 days. Then C alone can do the work in: a) 24 days b) 20 days c) 16 days d) 4 days 71. A certain number on men can complete a job in 30 days. If there were 5 men more, it could be completed in 10 days less. How many men were there in the beginning? a) 10 b) 15 c) 20 d) 25 72. A particular job can be completed by a team of 10 men in 12 days. The same job can be completed by a team of 10 women in 6 days. How many days are needed to complete the job if the two terms work together? d) 18 73. A works twice as fast as B. If both of them can together finish a work in 12 days B alone can do it in: a) 40 days b) 36 days c) 27 days d) 24 days 74. If 6 men or 20 women can a piece of work in 25 days, in what time 28 men and 15 women can do it? a) 14 2/7 days b) 33 1/3 days c) 18 % days d) 10 days 75. A can do a job in 15 days, B in 10 days and C in 30 days. If A is helped by B and C on every third day, then the job will completed in? a) 6 1/3 days b) 8 1/3 days c) 8 days d) 9 days 76. A work could be completed in 100 days. However, due to the absence of 10 workers, it was completed in 110 days that original no of workers was: a) 100 b) 110 c) 55 d) 50 77. A alone can complete a work in 12 days while A and B together can complete the same work in 8 days. The number of days that B will take to complete the work alone is: a) 10 b) 24 c) 20 78. If 3 men or 6 women can do a piece of work in 16 days. In how many days can 12 men and 8 women do the same piece of work? a) 4 days b) 5 days c) 3 days d) 2 days 79. 5 men can do a piece of work in 6 days while 10 women can do it in 5 days. In how many days can 5 women and 3 men do it? 80. Suman can do a work in 3 days. Sumati can do the same work in 9 days. Both of them finish the work together and get Rs.150.What is the share of Suman of Rs.? a) 30 b) 60 c) 70 d) 75 81. A and B can do a piece of work in 72 days. B and C can do it in 120 days. A and C can do it in 90 days. In how many days all the three together can do the work? a) 90 days b) 60 days c) 150 days 82. A and B can do a piece of work in 4 days. If A can do it alone in 12 days, B will finish the work in: a) 4 days b) 6 days c) 8 days d) 100 days d) 10 days 83. A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work? a) 18 days b) 8 days c) 4 days d) 4 days 84. If 4 men or 6 boys can finish a work in 20 days. How long will 6 men and 11 boys take to finish the same work? a) 10 days b) 6 days c) 4 days d) 3 days 85. A certain number of men do a work in 40 days. If there were 2 men more it could be finished in 10 days less. How many men were there initially? a) 30 b) 24 c) 16 d) 20
  6. 86. 39men can repair a road in 12 days working 5 hours a day. In many days will 30 men working 6 hours per day complete the work? a) 10 b) 13 c) 14 d) 15 87. If 8 men can dig a well in 18 days, then the number of days, 12 men will take to dig the same well will be: a) 12 days b) 10 days c) 8 days d) 16 days 88. If 8 men or 12 women can do a piece of work in 10 days, than the number of days required by 4 men and 4 women to finish the work is: b) 10 c) 12 89. A group of workers accepted to do a piece of work in 25 days. If 6 of them did not turn up for the work and the remaining workers did the work in 40 days, then the original number of workers was? a) 22 b) 20 c) 18 d) 16 90.1f 12 men can do a piece of work in 24 days, hen in how many days can 18 men do the same work? a) 36 b) 20 c) 18 d) 16 91.16 men or 20 women can finish a work in 25 days.How many days 28 men &15 women will take to finish this job? a) 19 13/43 days b) 11 27/43 days c) 8 days d) 10 days 92. A and B together can plough a field in 10 hours but by himself A requires 15 hours. How long would B take to plough the same field? a) 10 hours b) 20 hours c) 30 hours d) 40 hours 93. A contractor undertakes to execute a certain work by 10 days and engages 12 men. He finds that half the work is done in 5 days. Number of additional men that he must now employ to fulfill his contract is: b) 12 94. A man, a woman or a boy can do a piece of work in 3, 4 and 12 days respectively. How many boys must assist one men one woman to do the work in one day? 95.16 men complete one-fourth of a piece of work in 12 days. What is the additional number of men required to complete the work in 12 days? a) 48 b) 36 c) 30 d) 18 96. How many men need to be employed to complete a job in 5 days if 10 men can complete half the job in 7 days? b ) 14 c) 28 d) 35 97. Ram is twice as good as workman as Sunil and finished a piece of work in 3 hours less then Sunil. In how many hours they together could finish the piece of work? a) 2 1/3 98. 24 men working at 8 hours a day can finish a work in 10 days. Working at the rate of 10 hours a day, the number of men required to finish the same work in 6 days is: a) 30 b) 32 c) 34 d) 36 99. Is 15 women or 10 men can complete a project in 55 days. In how many days will 5 women and 4 men working together complete the same project? c) 75 ANSWERS l.d 16. b 31.c 46.d 61.b 76. b 91.d a) 30 17. d 32.a 47.c 62.a 77. b 92.c 18.b 33.a 48.a 63. d 78.c 93.d 19.b 34.c 49.a 64.c 79.b 94.d b) 32 20. d 35.c 50.d 65.b 80.b 95.a 21.c 36.d 51. c 66.a 81.c 96.c 22. d 37.b 52.b 67.c 82.b 97.b 8.d 23.a 38. c 53.d 68. b 83.d 98.b 24.a 39.a 54.a 69.c 84.b 99.c 10.b 25.c 40.d 55. a 70.a 85.b d) 85 11. c 26.c 41. C 56.a 71.a 86.b 12.d 27.c 42.a 57.c 72.a 87.a 13. d 28c. 43.b 58.c 73.b 88.c 14. a 29.a 44. c 59.d 74.d 89.d 15. c 30.a 45. b 60.a 75.d 90.d PH : 9874805413 FILE NO:59

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