# AMCAT Previous Years Questions on Misc : Work and Time , Ratio and Proportions

 Topics Sub- Topics Expected Ques Basic Mathematics 6 - 8 Questions Applied Mathematics 8 - 10 Questions Engineering Mathematics 8 - 10 Questions

Ques. Population of a village is eight thousand. If 6% men and 10% women are added, population

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

Op 1: 4800

Op 2: 5000

Op 3: 5060

Op 4: 6000

Op 5:

Correct Op : 2

Ques. 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?

Op 1: 40

Op 2: 60

Op 3: 100

Op 4: 160

Op 5:

Correct Op : 4

Ques. 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 people were initially present in the party?

Op 1: 12

Op 2: 15

Op 3: 18

Op 4: 24

Op 5:

Correct Op : 1

Ques. 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?

Op 1: 24 L

Op 2: 22.5 L

Op 3: 6 L

Op 4: 17.5 L

Op 5:

Correct Op : 3

Ques. 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:

Op 1: Rs. 169.50

Op 2: Rs. 170

Op 3: Rs. 175.50

Op 4: Rs. 180

Op 5:

Correct Op : 3

Ques. 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 ?

Op 1: 10

Op 2: 20

Op 3: 21

Op 4: 25

Op 5:

Correct Op : 3

Ques. 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 ?

Op 1: 10

Op 2: 13

Op 3: 14

Op 4: 15

Op 5:

Correct Op : 2

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

Op 1: 1

Op 2: 7/2

Op 3: 7

Op 4: 49

Op 5:

Correct Op : 3

Ques. 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:

Op 1: 6 days

Op 2: 4 days

Op 3: 3 days

Op 4: 12 days

Op 5:

Correct Op : 3

Ques. 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 ?

Op 1: 7 hours 30 minutes

Op 2: 8 hours

Op 3: 8 hours 15 minutes

Op 4: 8 hours 25 minutes

Op 5:

Correct Op : 3

Ques. 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:

Op 1: 5 days

Op 2: 47/6 days

Op 3: 10 days

Op 4: 47/3 days

Op 5:

Correct Op : 3

Ques. 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:

Op 1: 28/3 days

Op 2: 11 days

Op 3: 49/4 days

Op 4: 49/3 days

Op 5:

Correct Op : 2

Ques. 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:

Op 1: 8 days

Op 2: 10 days

Op 3: 12 days

Op 4: 15 days

Op 5:

Correct Op : 3

Ques. 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:

Op 1: 15 days

Op 2: 16 days

Op 3: 25 days

Op 4: 50 days

Op 5:

Correct Op : 3

Ques. 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:

Op 1: 81 min

Op 2: 108 min

Op 3: 144 min

Op 4: 192 min

Op 5:

Correct Op : 3

Ques. 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 ?

Op 1: 15 min

Op 2: 20 min

Op 3: 27.5 min

Op 4: 30 min

Op 5:

Correct Op : 4

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

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

Op 1: 6 hrs.

Op 2: 20/3 hrs

Op 3: 7 hrs

Op 4: 15/2 hrs

Op 5:

Correct Op : 3

Ques. 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:

Op 1: 60 gallons

Op 2: 100 gallons

Op 3: 120 gallons

Op 4: 180 gallons

Op 5:

Correct Op : 3

Ques. 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?

Op 1: 12

Op 2: 17

Op 3: 16

Op 4: 15

Op 5:

Correct Op : 1

Ques. 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?

Op 1: 7 hours

Op 2: 6 hours

Op 3: 5 hours

Op 4: 4 hours

Op 5:

Correct Op : 2

Ques. If 5 persons can do 5 times of a work in 5 days, then 10 persons can do 10 times of that work in:

Op 1: 10 days

Op 2: 8 days

Op 3: 5 days

Op 4: 2 days

Op 5:

Correct Op : 3

Ques. Two taps can fill a cistern in 6 min. and 7 min. respectively. If these taps are opened alternatively

for a minute, in what time will the cistern be filled?

Op 1: 5.67 min

Op 2: 6.25 min

Op 3: 5 min

Op 4: 45/7 min

Op 5:

Correct Op : 4

Ques. Two taps A and B can fill a cistern in 28 min. and 42 min. respectively. Third tap C can empty it in

42 min. If all the three taps are opened, the time taken to fill the cistern is:

Op 1: 30 min

Op 2: 35 min

Op 3: 28 min

Op 4: 42 min

Op 5:

Correct Op : 3

Ques. 49 pumps can empty a reservoir in 61⁄2 days, working 8 hours a day. If 196 pumps are used for 5

hours a day, then the same work will be completed in:

Op 1: 2.6 days

Op 2: 3 days

Op 3: 2.5 days

Op 4: 2 days

Op 5:

Correct Op : 1

Ques. 16 men complete one-fourth of a piece of work in 12 days. What is the additional number of men

required to complete the work in 12 more days ?

Op 1: 48

Op 2: 36

Op 3: 30

Op 4: 16

Op 5:

Correct Op : 4

Ques. A takes thrice as long to do a piece of work, as B takes. A and B together can do a piece of work in

7.5 days. A alone can do in:

Op 1: 30 days

Op 2: 40 days

Op 3: 50 days

Op 4: 60 days

Op 5: None of these

Correct Op : 1

Ques. A cistern can be filled by two pipes A and B in 10 and 15 hours respectively and is then emptied by

a tap in 8 hours. If all the taps are opened, the cistern will be fill in:

Op 1: 21 hours

Op 2: 22 hours

Op 3: 23 hours

Op 4: 24 hours

Op 5: None of these

Ques. If 33 untrained labourers can do a work in 15 days of 12 hr. each, how many trained labourers can

do 50% more work in 11 days of 9 hr each ? (It may be assumed that it takes 2 trained labourers to do

the work of 5 untrained labourers)

Op 1: 42

Op 2: 36

Op 3: 90

Op 4: 100

Op 5:

Correct Op : 2