Chain Rule Problems

CHAIN RULE PROBLEMS:

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. $\text{Rs.}\left(\frac{x\mathrm{d/}}{y}\right)$	B. $\text{Rs. xd}$
C. $\text{Rs.}\left(\frac{y\mathrm{d/}}{x}\right)$	D. $\text{Rs. yd}$

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. 26

3. 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. 14

4. 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?
A. 4	B. 16
C. 8	D. 1

5. 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
C. 40	D. 10

7. 36 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. 24

8. 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. 9

9. 3 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. 15

10. 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. 9	B. 12
C. 10	D. 13

11. A certain industrial loom weaves 0.128 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. 195

12. A contract is to be completed in 56 days if 104 persons work, each working at 8 hours a day. After 30 days, $\frac{\mathrm{2/}}{5}$ of the work is completed. How many additional persons should be 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. 56

13. $x$ 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. $\frac{{\mathrm{x^2/y^2}}^{}}{}$units	B. $\frac{{\mathrm{y^}}^{\mathrm{3/}}}{{\mathrm{x^}}^2}$ units
C. $\frac{{\mathrm{x^}}^{\mathrm{3/}}}{{\mathrm{y^}}^2}$ units	D. $\frac{{\mathrm{y^}}^{\mathrm{2/}}}{{\mathrm{x^}}^2}$ units

14. 21 goats eat as much as 15 cows. How many goats eat as much as 35 cows?
A. 49	B. 32
C. 36	D. 41

15. A flagstaff 17.5 m high casts a shadow of length 40.25 m. What will be the height of a building, which casts a shadow of length 28.75 m under similar conditions?
A. 12.5 m	B. 10.5 m
C. 14	D. 12

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?
A. 1800	B. 900
C. 2500	D. 2700

17. A person works on a project and completes $\frac{\mathrm{5/}}{8}$ 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

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. 38

19. If the price of 357 apples is Rs.1517.25, what will be the approximate price of 49 dozens of such apples?
A. Rs. 2500	B. Rs. 2300
C. Rs. 2200	D. Rs. 1400

20. 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. 885.5 km	B. 860 km
C. 892.5 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

22. 8 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

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
C. 110	D. 120

24. 9 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. 12

25. 9 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, $\frac{\mathrm{1/}}{5}$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

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. 1900	B. 1800
C. 1940	D. 2000

30. 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. 26

 

ANSWERS:

1 C 2 B 3 B 4 B 5 D 6 B 7 D 8 D 9B 10 D
11 D 12 D 13 B 14 A 15 A 16 A 17 B 18 B 19 A 20 A
21 A 22 C 23 C 24 A 25 D 26 A 27 D 28 B 29 A 30 B

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