CHAIN RULE


Chain Rule

1.         If 20 men can build a wall 56 m long in 6 days, what length of a similar wall can be built by 35 men in 3 days ?
(1) 50                              (2) 47                           (3) 43                                (4) 49                             (5) None of these
2.         If  15 men, working 9 hours a day, can reap a field in 16 days, in how many days will 18 men reap the field, working 8 hours a day ?
(1) 15                             (2) 10                            (3) 20                                 (4) 25                            (5) None of these
3.         If 9 engines consume 24 metric tones of coal, when each is working 8 hours a day, how much coal will be required for 8 engines, each running 13 hours a day, it being given that 3 engines of former type consume as much as 4 engines of letter type ?
(1) 28 metric tones    (2) 26 metric tones   (3) 30 metric tones     (4) 33 metric tones       (5) None of these
4.         A contract is to be completed in 46 days and 117 men were set to work, each working 8 hours a day. After 33 days,  of the work may be employed so that the work may be completed in time, each man now working 9 hours a day ?
(1) 71                            (2) 51                            (3) 81                              (4) 27                              (5) None of these  
5.         A garrison of 3300 men had provisions for 32 days, when given at the rate of 850 gms per head. At the end of 7 days, a reinforcement arrives and it was found that the provisions will last 17 days more, when given at the rate of 825 gms per head. What is the strength of the reinforcement ?
(1) 1800                      (2) 1900                         (3) 1500                          (4) 1700                         (5) None of these               
6.         A man completes  of a job in 10 days. At this rate, how many more days will it take him to finish the job ?
(1) 5                              (2) 6                             (3) 7                                  (4) 7                           (5) None of these        
7.         The cost of 16 packets of salt, each weighing 900 grams is Rs. 28. What will be the cost of 27 packets, if each packet weighs 1 kg ?
(1) Rs. 52.50               (2) Rs. 56                     (3) Rs. 58.50                     (4) Rs. 64.75                (5) None of these       
8.         Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes ?
(1) 648                         (2) 1800                      (3) 2700                            (4) 10800                    (5) None of these        
9.         If 8 men can reap 80 hectares in 24 days, then how many hectares can 36 men reap in 30 days ?
(1) 350                         (2) 400                         (3) 425                              (4) 450                          (5) None of these         
10.      If 5 men or 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 ?
(1) 12                            (2) 15                            (3) 18                               (4) 21                           (5) None of these         
11.      49 pumps can empty a reservoir in 6 days, working 8 hours a day. If 196 pumps are used for 5 hours each day, then the same work will be completed in :
(1) 2 days                    (2) 2  days                    (3) 2  days                    (4) 3 days                   (5) None of these
12.      If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days ?
(1) 1                              (2)                                 (3) 7                                (4) 49                         (5) None of these 
13.      If 18 pumps can raise 2170 tonnes of water in 10 days, working 7 hours a day; in how many days will 16 pumps raise 1736 tonnes of water, working 9 hours a day ?
(1) 6                               (2) 7                                 (3) 8                               (4) 9                           (5) None of these 
14.      400 persons, working 9 hours per day complete th of the work in 10 days. The number of additional persons, working 8 hours per day, required to complete remaining work in 20 days, is :
(1) 675                         (2) 275                         (3) 250                         (4) 225                          (5) None of these 
15.      20 men complete one-third of a piece of work in 20 days. How many more men should be employed to finish the rest of the work in 25 more days ?
(1) 10                            (2) 12                            (3) 15                              (4) 20                              (5) None of these
16.      If  of a cistern is filled in 1 minute, how much more time will be required to fill the rest of it ?
(1) 30 sec                     (2) 40 sec                      (3) 36 sec                       (4) 24sec                          (5) None of these
17.      If x men, working x hours per day, can do x units of work in x days, then y men, working y hours per day would be able to complete how many units of work in y days ?
(1)                              (2)                             (3)                      (4)                             (5) None of these
18.     If a certain number of workmen can do a piece of work in 25 hours, in how many hours will another set an equal number of men, do a piece of work, twice as great, supposing that 2 men of the first set can do as much work in an hour, as 3 men of the second set do in an hour ?
(1) 60                           (2) 75                         (3) 90                              (4) 105                           (5) None of these
19.       In a camp, 95 men had provisions for 200 days. After 5 days, 30 men left the camp. For how many days will the remaining food last now ?
(1) 180                       (2) 285                       (3) 139                         (4) 139                            (5) None of these
20.       A garrison of 500 men had provisions for 27 days. After 3 days a reinforcement of 300 hundred men arrived. For how many more days will the remaining food last now ?
(1) 15                         (2) 16                            (3) 17                            (4) 18                               (5) None of these
21.       12 men and 18 boys, working 7 hours a day, can do a piece of work in 60 days. If a man works equal to 2 boys, then how many boys will be required to help 21 men to do twice the work in 50 days, working 9 hours a day ?
(1) 30                          (2) 42                            (3) 48                              (4) 90                             (5) None of these
22.       If 3 men or 6 boys can do a piece of work in 10 days, working 7 hours a day; how many days it will take to complete a piece of work twice as large with 6 men and 2 boys working together for 8 hours a day ?
(1) 6                             (2) 7                           (3) 8                                 (4) 9                                (5) None of these 
23.       2 men and 7 boys can do a piece of work in 14 days; 3 men and 8 boys can do the same in 11 days. Then, 8 men and 6 boys can do three times the amount of this work in :
(1) 18 days                  (2) 21 days                 (3) 24 days                    (4) 30 days                     (5) None of these
24.       Four examiners can examine a certain number of answer papers in 10days by working for 5 hrs a day. For how many hours in a day would 2 examiners have to work in order to examine twice the number of answer papers in 20 days?
(1) 8hrs                    (2) 7hrs                       (3) 10hrs                       (4) 8hrs                          (5) None of these
25.       9 men working for 7hrs a day can complete a piece of work in 15days. In how many days can 6 men working for 9hrs a day, complete the same piece of work?
(1) 17 days             (2) 16 days                    (3) 16 days                    (4) 15 days                       (5) None of these
26.       A certain number of persons can complete a wok in 100days. If there be 10 persons less, than it would have taken 10 days more for the work to be completed. The number of persons in the beginning was
(1) 90                          (2) 105                          (3) 110                           (4) 120                              (5) None of these
27.     Five painters can paint a wall 100m long in 10 days of 8 h each. How many days of 6 h each will it take for 8 men to paint a wall 30 m long
(1) 2 days                (2) 2 days                   (3) 5 days                     (4) 10 days                     (5) None of these
28.     The work done by (x - 1) men in (x + 1) days and the work done by (x + 1) men in (x + 2) days are in the ratio 5 : 6. Find x.
(1) 10                          (2) 6                           (3) 8                           (4) 16                           (5) None of these
29.     There was food sufficient for 150 soldiers for 50 days. After 20 days, 50 soldiers left the fort. How many days will the remaining food last?
(1) 45 days                (2) 4 days                    (3) 50 days               (4) 60 days                   (5) None of these
30.     There was food sufficient in a fort for 32 days. After 4 days as 150 more soldiers came, the food will last for 21 days. How many soldiers were there in the fort in the beginning?
(1) 300                      (2) 450                           (3) 600                       (4) 150                          (5) None of these
31.     If 36 men can dig a trench 200m long, 3m wide and 2m deep in 6 days working 10 h a day, in how many days, working 8 h a day will 10 men dig a trench 100 m long, 4m wide and 3m deep
(1) 15 days              (2) 27days                      (3) 20days               (4) 54days                     (5) None of these
32.     76 ladies complete a job in 33 days. Due to some reason some ladies did not join the work and therefore it was complete in 44 days. The number of ladies who did not report for the work
(1) 17                         (2) 18                             (3) 19                        (4) 20                             (5) None of these
33.     56 men can complete a piece of work in 24 days. In how many days can 42 men complete the same piece of work?
(1) 18                         (2) 32                             (3) 98                         (4) 48                            (5) None of these
34.     28 men can complete a piece of work in 21 days. How many more man must be hired to complete the work in 14 days?
(1) 18                         (2) 10                             (3) 8                            (4) 14                           (5) None of these
36.     Three man or eight boys can do a piece of work in 17 days. How many days will 2 man and six boys together to finish the same work?
(1) 9 days               (2) 11 days                  (3) 14 days            (4) 12 days                 (5) None of these                
36.     If  3 men or 6 women can do a piece of work in 16 days, then in how many days can 12 men and 8 women do the same piece of work?
(1) 4 days                   (2) 5 days                     (3) 3 days                  (4) 2 days                     (5)   None of these               
38.      9 children can complete a piece of work in 360 days. 18 men can complete the same piece of work in 72 days and 12 women can complete the same piece of work in 162 days. In how many days can 4 men, 12 women and 10 children together complete the same piece of work?
(1) 124                       (2) 81                             (3) 68                      (4) 96                            (5) None of these                
39.      3 men can complete a piece of work in 6 days. 5 women can complete the same work in 18 days. In how many days will 4 men and 10 women together complete the same work ?
(1) 3 days                (2) 5 days                       (3) 2 days               (4) 4 days                      (5) None of these              
40.      Three men, 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 alone can complete this work in 7 days?
(1) 8                        (2) 7                             (3) 12                   (4) Can’t be determined            (5) None of these                    
41.      6 men and 8 women together can complete a piece of work in 10 days. Work done by a woman in one day Is equal to half the work done by a man in one day. If 10 women are working alone, then in how many days will the work get completed?
(1) 10 days           (2) 16 days                  (3) 14 days       (4) Can’t be determined           (5) None of these                  
42.     A can do a piece of work in 7 days of 9 hours each and B can do it in 6 days of 7 hours each. How long will they take to do it, working together 8 hours a day ?
(1) 4 days               (2) 5 days                    (3) 3 days                      (4) 2 days                     (5) None of these
43.     P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work ?
(1) 5                           (2) 5                          (3) 6                            (4) 6                          (5) None of these
44.     12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job and after working for 2 days, all of them stopped working. How many women should be put on the job to complete the remaining work, if it is to be completed in 3 days ?
(1) 15                            (2) 18                          (3) 22                           (4) Data inadequate         (5) None of these 
45.     If 90 men can do a certain job in 16 days, working 12 hours per day, then the part of that work which can be completed by 70 men in 24 days, working 8 hours per day is
(1)                                  (2)                             (3)                                 (4)                             (5) None of these
46.     6 men or 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 as this work ?
(1) 2  days                   (2) 5  days                  (3) 15  days                   (4) 10  days              (5) None of these
47.     A 10 hectare field is reaped by 2 men, 3 women and 4 children together in 10 days. If working capabilities of a man, a woman and a child are in the ratio of 5 : 4 : 2, then a 16 hectare field will be reaped by 6 men, 4 women and 7 children in
(1) 5 days                    (2) 6 days                   (3) 7 days                      (4) 8 days                   (5) None of these

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