CHAIN RULE QUESTIONS AND ANSWERS

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Wilfrid Miller
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1 CHAIN RULE QUESTIONS AND ANSWERS 1. If the cost of x metres of wire is d rupees, then what is the cost of y metres of wire at the same rate? A. Rs. (xdy) B. Rs. xd C. Rs. (ydx) D. Rs. yd Answer : Option C 2. In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk? A. 1 B. 40 C. 20 D If 7 spiders make 7 webs in 7 days, then how many days are needed for 1 spider to make 1 web? A. 1 B. 7 C. 3 D mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days? A. 4 B. 16 C. 8 D If a quarter kg of potato costs 60 paise, how many paise does 200 gm cost? A. 65 paise B. 70 paise C. 52 paise D. 48 paise 6. In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal? A. 50 B. 30

2 C. 40 D men can complete a piece of work in 18 days. In how many days will 27 men complete the same work? A. 26 B. 22 C. 12 D A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. If the smaller wheel has made 21 revolutions, what will be the number of revolutions made by the larger wheel? A. 15 B. 12 C. 21 D pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day should 4 pumps work in order to empty the tank in 1 day? A. 10 B. 12 C. 8 D 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. 9 B. 12 C. 10 D A certain industrial loom weaves meters of cloth every second. Approximately how many seconds will it take for the loom to weave 25 meters of cloth? A. 205 B. 200 C. 180 D A contract is to be completed in 56 days if 104 persons work, each working at 8 hours a day. After 30 days, 2 / 5 of the work is completed. How many additional persons should be

3 deployed so that the work will be completed in the scheduled time,each persons now working 9 hours a day. A. 160 B. 150 C. 24 D x men working x hours per day can do x units of a work in x days. How much work can be completed by y men working y hours per day in y days? A. x2y2 units B. y3x2 units C. x3y2 units D. y2x2 units goats eat as much as 15 cows. How many goats each as much as 35 cows? A. 49 B. 32 C. 36 D A flagstaff 17.5 m high casts a shadow of length m. What will be the height of a building, which casts a shadow of length m under similar conditions? A m B m C. 14 D 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? A B. 900 C D A person works on a project and completes 5 / 8 of the job in 10 days. At this rate, how many more days will he it take to finish the job? A. 7 B. 6 C. 5 D. 4

4 18. A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. Find out the number of days for which the remaining food will last. A. 44 B. 42 C. 40 D If the price of 357 apples is Rs , what will be the approximate price of 49 dozens of such apples? A. Rs B. Rs C. Rs D. Rs On a scale of a map 0.6 cm represents 6.6km. If the distance between two points on the map is 80.5 cm, what is the the actual distance between these points? A km B. 860 km C km D. 825 km 21. A rope can make 70 rounds of the circumference of a cylinder whose radius of the base is 14cm. how many times can it go round a cylinder having radius 20 cm? A. 49 rounds B. 42 rounds C. 54 rounds D. 52 rounds persons can build a wall 140m long in 42 days. In how many days can 30 persons complete a similar wall 100 m long? A. 12 B. 10 C. 8 D. 6 Answer : Option C 23. A certain number of persons can finish a piece of work in 100 days. If there were 10 persons less, it would take 10 more days finish the work. How many persons were there originally? A. 90 B. 100

5 C. 110 D. 120 Answer : Option C examiners can examine a certain number of answer books in 12 days by working 5 hours a day. How many hours in a day should 4 examiners work to examine twice the number of answer books in 30 days? A. 9 B. 10 C. 11 D engines consume 24 metric tonnes of coal, when each is working 8 hours day. How much coal is required for 8 engines, each running 13 hours a day, if 3 engines of former type consume as much as 4 engines of latter type? A. 20 metric tonnes B. 22 metric tonnes C. 24 metric tonnes D. 26 metric tonnes 26. A garrison had provisions for a certain number of days. After 10 days, 1/5 of the men desert and it is found that the provisions will now last just as long as before. How long was that? A. 50 days B. 30 days C. 40 days D. 60 days 27. A garrison of 500 persons had provisions for 27 days. After 3 days a reinforcement of 300 persons arrived. For how many more days will the remaining food last now? A. 12 days B. 16 days C. 14 days D. 15 days 28. A hostel had provisions for 250 men for 40 days. If 50 men left the hostel, how long will the food last at the same rate? A. 48 days B. 50 days C. 45 days D. 60 days

6 29. in a camp, food was was sufficient for 2000 people for 54 days. After 15 days, more people came and the food last only for 20 more days. How many people came? A B C D If 40 men can make 30 boxes in 20 days, How many more men are needed to make 60 boxes in 25 days? A. 28 B. 24 C. 22 D If 12 boys can earn Rs. 240 in 5 days, how many boys can earn Rs. 420 in 21 days? A. 15 boys B. 5 boys C. 17 boys D. none of these 32. If a certain number of workmen can do a piece of work in 25 days, in what time will another set of an equal number of men do a piece of work twice as great, supposing that 2 of the first set can do as much work in an hour as 3 of the second set can do in an hour? A. 60 days B. 75 days C. 90 days D. 105 days 33. If 3 men or 6 boys can do a piece of work in 10 days will it take to complete a work twice as large with 6 men and 2 boys working together for 8 hours a day? A. 7 days B. 8 days C. 9 days D. 6 days 34. In a hospital there is a consumption of 1350 litres of milk for 70 patients for 30 days. How many patients will consume 1710 litres of milk in 28 days? A. 59 B. 85

7 C. 95 D. 105 ANSWER : C 35. If 18 binders bind 900 books in 10 days, how many binders will be reguired to bind 660 books in 12 days? A. 55 B. 14 C. 13 D If six men working 8 hours a day earn Rs. 840 per week, then 9 men working 6 hours a day will earn per week : A. Rs. 840 B. Rs. 945 C. Rs D. Rs If 4 examiners can examine a certain number of answer books in 8 days by working 5 hours a day; for how many hours a day would 2 examiners have to work in order to examine twice the number of answer books in 20 days? A. 6 hours B. 8 hours C. 9 hours D. 7 hours 38. If 22.5 metres of a uniform iron rod weighs 85.5 kg., what will be the weight of 6 meters of the same rod? A kg. B kg. C. 28 kg. D. none of these 39. A contractor undertook to do a certain piece of work in 9 days. He employed certain number of labouters but 6 of them being adsent from the very first day, the rest could finish the work in 15 days. The number of men originally employed were : A. 12 B. 15 C. 18 D men take 21 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

8 D. 30 ANSWER : On a scale of a map 0.8 cm. represents 8.8 km. If the distance between two points on the map is 80.5 cm., the distance between these points is approximately : A. 9 km. B. 70 km. C. 90 km. D. 885 km. 42. If the rent for grazing 40 cows for 20 days is Rs. 370, how many cows can graze for 30 days on Rs. 111? A. 6 B. 8 C. 5 D If 27 kg. of corn would feed 42 horses for 21 days, in how many days would 36 kg. of it feed 21 horses? A. 28 days B. 42 days C. 56 days D. 31 days ANSWER : C men had provisions for 200 days. After 5 days, 30 men died due to an epidemic. The remaining food will last for? A. 150 days B. 146 days C. 245 days D. 260 days 45. If 9 men working 7 hours a day can finish a work in 20 days; then how many days will be taken by 12 men, working 6 hours a day to finish the work; it being given that 3 men of latter type work as much as 2 men of the former type in the same time? A. 12 B. 13 C. 9 D 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, working 9 hours a day? A. 9 days B. 8 days C. 7 days D. 6 days

9 ANSWER : C 47. If 5 men working 6 hours a day can reap 3 field in 20 days, in how many days will 15 men reap the field, working 8 hours a day? A. 5 days B. 6 days C. 7 days D. 9 days 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? A. 10 B. 12 C. 15 D If 17 labourers can dig a ditch 26 metres long in 18 days, working 8 hours a day, how many more labourers should be engaged to dig a similar ditch 39 metres long in 6 days, each labourer working 9 hours a day? A. 51 B. 68 C. 85 D A contract is to be completed in 56 days and 104 men were set to work, each working 8 hours a day. After 30 days, of the work is completed. How many additional men may be employed, so that the work may be compeleted in time, each man now working 9 hours a day A. 60 B. 56 C. 70 D A garrison had provisions for a certain number of days. After 10 days (1/5)th of the men desert and it is found that the provisions will now last just as long as before. How long was that : A. 35 days B. 15 days C. 25 days D. 50 days men and 7 boys can do piece of work in 14 days; 3 men and 8 boys can do the same in 11 days. 8 men and 6 boys can do 3 times the amount of this work in : A. 21 days B. 15 days C. 25 days

10 D. 36 days 53. If 5 engines consume 6 metric tones of coal when each is running 9 hours day, how much coal will be needed for 8 engines, each running 10 hours a day, it being given that 3 engines of the former type consume as much as 4 engines of latter type? A. 8 metric tonnes B. 7 metric tonnes C. 3 metric tonnes D metric tonnes 54. If 20 men can build a wall 112 metres long in 6 days, what length of a similar wall can be built by 25 men in 3 days? A. 140 metres B metres C. 105 metres D. 70 metres 55. If 20 men working 7 hours a day can do a piece of work in 10 days, in how many days will 15 men working for 8 hours a day do the same piece of work? A. 15 days B. 11 days C. 6 days D. 4 days 56. If 40 person consume 60 kg. of rice in 15 days, then in how many days will 30 persons consumer 12 kg. of rice : A. 3 days B. 4 days C. 6 days D. 9 days 57. If 3 person weave 168 shawls in 14 days, how many shawls will 8 persons weave in 5 days? A. 90 B. 105 C. 126 D A garrison of 500 men had provisions for 24 days. However, a reinforcement of 300 men arrived. The food will now last for : A. 18 days B. 17 days C. 16 days D. 15 days

11 59. If 300 men can do a piece of work in 16 days, how many men would do (1/5) of the work in 15 days? A. 56 B. 64 C. 60 D A contractor undertakes to do a piece of work in 40 days. He engages 100 men at the beginning and 100 more after 35 days and completes the work in stipulated time. If he had engaged the additional men, how many days behind schedule would it be finished? A. 5 B. 6 C. 3 D. 9

ANSWERS AND EXPLANATIONS

www.tarainstitute.in ANSWERS AND EXPLANATIONS EXERCISE. (a) Given,? x? x??. (c) Let the numbers be x and x. Now, difference of numbers 0 i.e. x x 0 x 0 Larger number 0 0. (d) Suppose the first number is