## AMCAT Work and Time , Ratio and Proportions Question and Answers

**1. Population of a village is eight thousand. If 6% men and 10% women are added, pAnswerulation**

**becomes 8,600, then the number of men in the village was:**

A: 4800

B: 5000

C: 5060

D: 6000

**Correct Answer : B**

**2. If 15 oxen or 20 cows can eat the grass of a field in 80 days, then in how many days will 6 oxen**

**and 2 cows eat the same grass?**

A: 40

B: 60

C: 100

D: 160

**Correct Answer : D**

**3. At a certain party the ratio of gents and ladies was 1 : 2. But when 2 gents and 2 ladies left the**

**party, the ratio became 1 : 3. How many peAnswerle were initially present in the party?**

A: 12

B: 15

C: 18

D: 24

**Correct Answer : A**

**4. How many litres of a 90% solution of concentrated acid needs to be mixed with a 75% solution of**

**concentrated acid to get a 30 L solution of 78% concentrated acid?**

A: 24 L

B: 22.5 L

C: 6 L

D: 17.5 L

**Correct Answer : C**

**5. Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1:1:2. If the**

**mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:**

A: Rs. 169.50

B: Rs. 170

C: Rs. 175.50

D: Rs. 180

**Correct Answer : C**

**6. A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 litres of mixture are**

**drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many litres of liquid A was ****contained by the can initially ?**

A: 10

B: 20

C: 21

D: 25

**Correct Answer : C**

**7. 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

**Correct Answer : B**

**8. If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days ?**

A: 1

B: 7/2

C: 7

D: 49

**Correct Answer : C**

**9. 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:**

A: 6 days

B: 4 days

C: 3 days

D: 12 days:

**Correct Answer : C**

**10. Ronald and Elan are working on an assignment. Ronald takes 6 hours to type 32 pages on a**

**computer, while Elan takes 5 hours to type 40 pages. How much time will they take, working together**

**on two different computers to type an assignment of 110 pages ?**

A: 7 hours 30 minutes

B: 8 hours

C: 8 hours 15 minutes

D: 8 hours 25 minutes

**Correct Answer : C**

**11. A and B can do a work in 12 days, B and C in 15 days, C and A in 20 days. If A, B and C work**

**together, they will complete the work in:**

A: 5 days

B: 47/6 days

C: 10 days

D: 47/3 days

**Correct Answer : C**

**12. A and B can do a job together in 7 days. A is 7/4 times as efficient as B. The same job can be done**

**by A alone in:**

A: 28/3 days

B: 11 days

C: 49/4 days

D: 49/3 days

**Correct Answer : B**

**13. A and B can complete a work in 15 days and 10 days respectively. They started doing the work**

**together but after 2 days B had to leave and A alone completed the remaining work. The whole work**

**was completed in:**

A: 8 days

B: 10 days

C: 12 days

D: 15 days

**Correct Answer : C**

**14. A, B and C together can complete a piece of work in 10 days. All the three started working at it**

**together and after 4 days A left. Then B and C together completed the work in 10 more days. A alone**

**could complete the work in:**

A: 15 days

B: 16 days

C: 25 days

D: 50 days

**Correct Answer : C**

**15. One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the**

**tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:**

A: 81 min

B: 108 min

C: 144 min

D: 192 min

**Correct Answer : C**

**16. A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How**

**many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill**

**it together for the other half ?**

A: 15 min

B: 20 min

C: 27.5 min

D: 30 min

**Correct Answer : D**

**17. Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is Answeren all the time**

**and B and C are Answeren for one hour each alternately, the tank will be full in:**

A: 6 hrs.

B: 20/3 hrs

C: 7 hrs

D: 15/2 hrs

**Correct Answer : C**

**18. Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons**

**per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank**

**is:**

A: 60 gallons

B: 100 gallons

C: 120 gallons

D: 180 gallons

**Correct Answer : C**

**19. Ram and Shyam together do a work in 8 days. Both of them began to work. After 3 days Ram fell**

**ill. Shyam completed the remaining work in 15 days. In how many days can Ram complete the whole**

**work?**

A: 12

B: 17

C: 16

D: 15

**Correct Answer : A**

**20. Two workers A and B were employed for a work. A takes 8 hour more than the time taken by A**

**and B together. If B takes 4.5 hours more than the time taken by A and B together, how long would A**

**and B take together to complete the work?**

A: 7 hours

B: 6 hours

C: 5 hours

D: 4 hours

**Correct Answer : B**