AMCAT Sample Questions Quants Solutions 211 - 220

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

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