## Sunday, September 4, 2016

### Chain Rule (Quantitative Aptitude)

1.     If 15 toys cost Rs 234, what do 35 toys cost? (546)
2.     If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it? (60 )
3.     If the wages of 6 men for 15 days be Rs.2100, then find the wages of 9 for 12 days. (2520)
4.     If 20 men can build a wall 56 metres long in 6 days, what length of a similar can be built by 35 men in 3 days? (49 m)
5.     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? (15)
6.     If 9 engines consume 24 metric tonnes of coal, when each is working 8 hours day, how much coal will be required for 8 engines, each running 13hours a day, it being given that 3 engines of former type consume as much as 4 engines of latter type? (26 metric tonnes)
7.     A contract is to be completed in 46 days sad 117 men were said to work 8 hours a day. After 33 days, (4/7) of the work is completed. How many additional men may be employed so that the work may be completed in time, each man now working 9 hours a day? (81)
8.     A garrison of 3300 men had provisions for 32 days, when given at the rate of 860 gms per head. At the end of 7 days, reinforcement arrives and it was for that the provisions wi1l last 17 days more, when given at the rate of 825 gms per head, What is the strength of the reinforcement? (1700)
Exercise
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? (yd/x)
2.     If the price of 6 toys is Rs. 264.37, what will be the approximate price of 5 toys? (220)
3.     The price of 357 mangoes is Rs. 1517.25. What will be the approximate price of 9 dozens of such mangoes? (2500)
4.     If a quarter kg of potato costs 60 paise, how many paise will 200 gm cost? (48 paise)
5.     If 11.25 m of a uniform iron rod weighs 42.75 kg, what will be the weight of 6 m of the same rod? (22.8kg)
6.     On a scale of map, 0.6 cm represents 6.6 km. If the distance between the points on the map is 80.5 cm, the actual distance between these points is: (885.5 km)
7.     An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 metres of cloth? (195)
8.     A flagstaff 17.5 m high casts a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar conditions will be: (12.5 m)
9.      A man completes 5/8 of a job in 10 days. At this rate, how many more days will it takes him to finish the job? (6)
10.            36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work (24)
11.            A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is: (42)
12.            A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is: (9)
13.            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 the remaining meal? (30)
14.            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? (52.50)
15.            4 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? (16)
16. 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?(1800)
17.            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? (40)
18.            12 men working 8 hours per day complete a piece of work in 10 days. To complete the same work in 8 days, working 15 hours a day, the number of men required, is: (8)
19.            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? (6)
20.            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?(13)
21.            3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day? (12)
22.            If 8 men can reap 80 hectares in 24 days, then how many hectares can 36 men reap in 30 days? (450)
23.             A certain number of persons can dig a trench 100 m long, 50 m broad and 10 m deep in 10 days. The same number of persons can dig another trench 20 m broad and 15 m deep in 30 days. The length of the second trench is: (500)
24.            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? (15)
25.            49 pumps can empty a reservoir in 6 ½ days, working 8 hours a day. If 196 pumps are used for 5 hours each day, them the same work will be completed in: (2 3/5)
26.            30 labourers, working 7 hours a day can finish a piece of work in 18 days. If the labourers work 6 hours a day, then the number of labourers to finish the same piece of work in 30 days, will be:(21)
27.             If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?(7)
28.            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? (7)
29.            If 80 lamps can be lighted, 5 hours per day for 10 days for Rs. 21.25, then the number of lamps, which can be lighted 4 hours daily for 30 days, for Rs. 76.50, is: (120)
30.            If 12 carpenters, working 6 hours a day, can make 460 chairs in 24 days, how many chairs will 18 carpenters make in 36 days, each working 8 hours a day? (1380)
31.            400 persons, working 9 hours per day complete 1/4th of the work in 10 days The 4 number of additional persons, working 8 hours per day, required to complete the remaining work in 20 days, is :
32.            If 9 examiners can examine a certain number of answer books in 12 days, working 5 hours a day for how many hours a day would 4 examiners have to work in order to examine twice the number of answer books in 30 days? (9)
33.            If 17 labourers can dig a ditch 20 m long in 18 days, working 8 hours a day; how many more labourers should be engaged to dig a similar ditch 39 m long in 6 days, each labourer working 9 hours a day?  (51)
34.            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?  (12)
35.            If 18 binders bind 900 books in 10 days, how many binders will be required to bind 660 books in 12 days?(11)
36.            If 3/5 of a cistern is filled in 1 minute, how much more time will be required to fill the rest of it? (40)
37.            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? (y3/x2 )
38.            A rope makes 70 rounds of the circumference of a cylinder whose radius of the base is 14 cm. How many times can it go round a cylinder with radius 20 cm? (49)
39.            If 5 engines consume 6 metric tonnes of coal when each is running 9 hours a day, how many metric tonnes of 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 the latter type?(8)
40.            If a certain number of workmen can do a piece of work jn 25 hours, in how many hours will another set of 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? (75)
41.            Some persons can do a piece of work in 12 days. Two times the number of such persons will do half of that work in : (3)
42.            A certain number of men can finish a piece of work in 100 days. If, there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally? (110)
43.            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? (285)
44.            A garrison of 500 men had provisions for 27 days. After 3 days a reinforcement of 300 men arrived. For how many more days will the remaining food last now?(15)
45.            A garrison had provisions for a certain number of days. After 10 days, 15 of the men desert and it is found that the provisions will now last just as long as before. How long was that?(50)
46.            15 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? (30)
47.            A contractor undertook to do a certain piece of work in 9 days. He employed certain number of men, but 6 of them being absent from the very first day, the rest could finish the work in 15 days. The number of men originally employed were: (15)
48.            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 not engaged the additional men, how many days behind schedule would it be finished? (5)
49.            A contractor employed 30 men to do a piece of work in 38 days. After 25 days, he employed 5 men more and the work was finished one day earlier. How many days he would have been behind, if he had not employed additional men?  (1)
50.            12 men and 18 boys, working 712 hours a day, can do a piece of work in 60 days. If a man works equal to 2 boys, then bow many boys will be required to help 21 men to do twice the work in 50 days, working 9 hours a day? (42)
51.            If 3 men or 6 boys can do a piece of work in 10 days, working 7 hours a day; how many days will it take to compete a piece of work twice as large with 6 men and 2 boys working together for 8 hours a day? (7 ½ )

52.            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 : (21)