### AMCAT Quantitative Aptitude Previous Years Question answers with Solutions 8

Ques 211 : Choose the correct answer.

A ship is moving at a speed of 30 kmph. To know the depth of the ocean beneath it, it sends a radiowave which travels at a speed 200 m/s. The ship receives back the signal after it has moved 500 m. What is the depth of the ocean?

Option 1 : 4 km

Option 2 : 8 km

**Option 3 : 6 km**

Option 4 : 12 km

Ques 212 : Choose the correct answer.

In a town the population grows at a simple rate of 10% in a decade and compounds from decade to decade. Find the population at the beginning of the 1970s if the population at the beginning of the 1990s is 3,63,000 people.

Option 1 : 30,000

**Option 2 : 3,00,000**

Option 3 : 30,00,000

Option 4 : 3,15,000

Ques 213 : Choose the correct answer.

In approximately how many years will a certain sum of money triple itself at 22% simple interest?

Option 1 : 10 years

Option 2 : 11 years

**Option 3 : 9 years**

Option 4 : 12 years

Ques 214 : Choose the correct answer.

A man rows a boat at a speed of 5 km/hr in still water. Find the speed of a river if it takes him 1 hr to row a boat to a place 2.4 km away and return back.

**Option 1 : 1 km/hr**

Option 2 : 6 km/hr

Option 3 : 3 km/hr

Option 4 : 4 km/hr

Ques 215 : Choose the correct answer.

A boat covers 40 km upstream and 90 km downstream in 5 hr. It can also cover 60 km upstream and 60 km downstream in 5 hr. The speed of the water current is

Option 1 : 4 km/hr

**Option 2 : 5 km/hr**

Option 3 : 20 km/hr

Option 4 : 25 km/hr

Ques 216 : Choose the correct answer.

Two champion swimmers start a two-length swimming race at the same time, but from opposite ends of the pool. They swim at constant but different speeds. They first pass at a point 18.5 m from the deep end. Having completed one length, each swimmer take

Option 1 : 90 m

**Option 2 : 45 m**

Option 3 : 26.5m

Option 4 : Data insufficient

Ques 217 : Choose the correct answer.

A and B start together from the same point on a circular track and walk in the same direction till they both again arrive together at the starting point. A completes one circle in 224 s and B in 364 s. How many times will A have passed B?

Option 1 : 4

**Option 2 : 5**

Option 3 : 6

Option 4 : 7

Ques 218 : Choose the correct answer.

36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?

Option 1 : 12

Option 2 : 18

Option 3 : 22

**Option 4 : 24**

Option 5 : None of these

Ques 219 : Choose the correct answer.

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 ?

Option 1 : 10

**Option 2 : 13**

Option 3 : 14

Option 4 : 15

Ques 220 : Choose the correct answer.

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

Option 1 : 1

Option 2 : 7/2

**Option 3 : 7**

Option 4 : 49

Ques 221 : Choose the correct answer.

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:

Option 1 : 6 days

Option 2 : 4 days

**Option 3 : 3 days**

Option 4 : 12 days

Ques 222 : Choose the correct answer.

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 ?

Option 1 : 7 hours 30 minutes

Option 2 : 8 hours

**Option 3 : 8 hours 15 minutes**

Option 4 : 8 hours 25 minutes

Ques 223 : Choose the correct answer.

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:

Option 1 : 5 days

Option 2 : 47/6 days

**Option 3 : 10 days**

Option 4 : 47/3 days

Ques 224 : Choose the correct answer.

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:

Option 1 : 28/3 days

**Option 2 : 11 days**

Option 3 : 49/4 days

Option 4 : 49/3 days

Ques 225 : Choose the correct answer.

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:

Option 1 : 8 days

Option 2 : 10 days

**Option 3 : 12 days**

Option 4 : 15 days

Ques 226 : Choose the correct answer.

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:

Option 1 : 15 days

Option 2 : 16 days

**Option 3 : 25 days**

Option 4 : 50 days

Ques 227 : Choose the correct answer.

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:

Option 1 : 81 min

Option 2 : 108 min

**Option 3 : 144 min**

Option 4 : 192 min

Ques 228 : Choose the correct answer.

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 ?

Option 1 : 15 min

Option 2 : 20 min

Option 3 : 27.5 min

**Option 4 : 30 min**

Ques 229 : Choose the correct answer.

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:

Option 1 : 6 hrs.

Option 2 : 20/3 hrs

**Option 3 : 7 hrs**

Option 4 : 15/2 hrs

Ques 230 : Choose the correct answer.

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:

Option 1 : 60 gallons

Option 2 : 100 gallons

**Option 3 : 120 gallons**

Option 4 : 180 gallons

Ques 231 : Choose the correct answer.

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?

**Option 1 : 12**

Option 2 : 17

Option 3 : 16

Option 4 : 15

Ques 232 : Choose the correct answer.

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?

Option 1 : 7 hours

**Option 2 : 6 hours**

Option 3 : 5 hours

Option 4 : 4 hours

Ques 233 : Choose the correct answer.

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

Option 1 : 10 days

Option 2 : 8 days

**Option 3 : 5 days**

Option 4 : 2 days

Ques 234 : Choose the correct answer.

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?

Option 1 : 5.67 min

Option 2 : 6.25 min

Option 3 : 5 min

**Option 4 : 45/7 min**

Ques 235 : Choose the correct answer.

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:

Option 1 : 30 min

Option 2 : 35 min

**Option 3 : 28 min**

Option 4 : 42 min

Ques 236 : Choose the correct answer.

49 pumps can empty a reservoir in 6½ days, working 8 hours a day. If 196 pumps are used for 5 hours a day, then the same work will be completed in:

**Option 1 : 2.6 days**

Option 2 : 3 days

Option 3 : 2.5 days

Option 4 : 2 days

Ques 237 : Choose the correct answer.

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 ?

Option 1 : 48

Option 2 : 36

Option 3 : 30

**Option 4 : 16**

Ques 238 : Choose the correct answer.

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:

**Option 1 : 30 days**

Option 2 : 40 days

Option 3 : 50 days

Option 4 : 60 days

Option 5 : None of these

Ques 239 : Choose the correct answer.

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:

Option 1 : 21 hours

Option 2 : 22 hours

Option 3 : 23 hours

**Option 4 : 24 hours**

Option 5 : None of these

Ques 240 : Choose the correct answer.

A locomotive engine, without any wagons attached to it, can go at a speed of 40 km/hr. Its speed is diminished by a quantity that varies proportionally as the square root of the number of wagons attached. With 16 wagons, its speed is 28 km/hr. The

Option 1 : 99

**Option 2 : 100**

Option 3 : 101

Option 4 : 120