AMCAT Sample Questions Quants Solutions 231 - 240

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

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