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Vikna 21/06/2016 in  CAT Coaching classes

What are top CAT coaching centres in India?

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Elnaz 01/06/2016 in  CAT Coaching classes

 I travel the first part of my journey at 40 kmph and the second part at 60 kmph and cover the total distance of 240 km to my destination in 5 hours. How long did the first part of my journey last? 

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Sudheer replied | 30/09/2016

3 Hours

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Bhargava Vadlamani replied | 01/12/2016

40*t + 60*(5-t) = 240.
t = 3 hr.

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Gowre 01/06/2016 in  CAT Coaching classes

The speed of a motor boat itself is 20 km/h and the rate of flow of the river is 4 km/h. Moving with the stream the boat went 120 km. What distance will the boat cover during the same time going against the stream? 

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Sudheer replied | 30/09/2016

80 KM

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Bhargava Vadlamani replied | 01/12/2016

(20 + 4)*t = 120
t = 5 hr.
Now against stream:-
(20 - 4)*5 = 80 km -- (ans)

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Yash 01/06/2016 in  CAT Coaching classes

Working together, A and B can do a job in 6 days. B and C can do the same job in 10 days, while C and A can do it in 7.5 days. How long will it take if all A, B and C work together to complete the job?

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Nitin replied | 11/10/2016

Let total work be 900 units .
A + B = 900/6 = 150 unit/day (This is the speed or efficiency of working of A & B together)
Similarly , B+C = 90
C + A = 120
adding all three , 2A + 2B + 2C = 360
A + B + C = 180
so A,B & C can do the same job in 900/180 = 5 Days

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Bhargava Vadlamani replied | 01/12/2016

If A finishes the work in a days then in one day A does 1/a part of the work.
Similarly, B does 1/b and C does 1/c part.
IF W is the total work. Then below are per day works
W/a + W/b = W/6
W/b + W/c = W/10
W/c + W/a = W/7.5
Adding above equations we get 2(1/a+1/b+1/c) = 1/6+1/10+1/7.5 --- > 1/a + 1/b + 1/b = 1/5
all three together do 1/5th of work in...  more»
If A finishes the work in a days then in one day A does 1/a part of the work.
Similarly, B does 1/b and C does 1/c part.
IF W is the total work. Then below are per day works
W/a + W/b = W/6
W/b + W/c = W/10
W/c + W/a = W/7.5
Adding above equations we get 2(1/a+1/b+1/c) = 1/6+1/10+1/7.5 --- > 1/a + 1/b + 1/b = 1/5
all three together do 1/5th of work in a day. So, they take 5 days to finish the work. «less

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Shabana 01/06/2016 in  CAT Coaching classes

By walking at 3/4th of his usual speed, a man reaches office 20 minutes later than usual. What is his usual time?

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Kiran 01/06/2016 in  CAT Coaching classes

 A passenger train covers the distance between stations X and Y, 50 minutes faster than a goods train. Find this distance if the average speed of the passenger train is 60 kmph and that of goods train is 20 kmph.

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Hema 01/06/2016 in  CAT Coaching classes

 A man and a woman 81 miles apart from each other, start travelling towrds each other at the same time. If the man covers 5 miles per hour to the women's 4 miles per hour, how far will the woman have travelled when they meet?

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Ann 01/06/2016 in  CAT Coaching classes

A plane flying north at 500 kmph passes over a city at 12 noon. A plane flying east at the same attitude passes over the same city at 12.30 pm. The plane is flying east at 400 kmph. To the nearest hundred km, how far apart are the two planes at 2 pm?

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Princy 01/06/2016 in  CAT Coaching classes

Ram completes 60% of a task in 15 days and then takes the help of Rahim and Rachel. Rahim is 50% as efficient as Ram is and Rachel is 50% as efficient as Rahim is. In how many more days will they complete the work?

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Khushbu 01/06/2016 in  CAT Coaching classes

 A tank is fitted with 8 pipes, some of which that fill the tank and others that empty the tank. Each of the pipes that fills the tank fills it in 8 hours, while each of those that empty the tank empties it in 6 hours. If all the pipes are kept open when the tank is full, it will take 6 hours to drain the tank. How many of these are fill pipes?

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Aksabanu 01/06/2016 in  CAT Coaching classes

Four men and three women can do a job in 6 days. When five men and six women work on the same job, the work gets completed in 4 days. How long will a woman take to do the job, if she works alone on it? 

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Hari 01/06/2016 in  CAT Coaching classes

 Shyam can do a job in 20 days, Ram in 30 days and Singhal in 60 days. If Shyam is helped by Ram and Singhal every 3rd day, how long will it take for them to complete the job? 

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Aamir 01/06/2016 in  CAT Coaching classes

Pipe A usually fills a tank in 2 hours. On account of a leak at the bottom of the tank, it takes pipe A 30 more minutes to fill the tank. How long will the leak take to empty a full tank if pipe A is shut?

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Vikram 01/06/2016 in  CAT Coaching classes

A, B and C can do a work in 5 days, 10 days and 15 days respectively. They started together to do the work but after 2 days A and B left. C did the remaining work (in days).

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Suresh 01/06/2016 in  CAT Coaching classes

  X alone can do a piece of work in 15 days and Y alone can do it in 10 days. X and Y undertook to do it for Rs. 720. With the help of Z they finished it in 5 days. How much is paid to Z?

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Kirti 01/06/2016 in  CAT Coaching classes

 A and B can do a piece of work in 21 and 24 days respectively. They started the work together and after some days A leaves the work and B completes the remaining work in 9 days. After how many days did A leave? 

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Bimal 01/06/2016 in  CAT Coaching classes

A can complete a project in 20 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 10 days before the project is completed, in how many days will the project be completed?

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Manish 01/06/2016 in  CAT Coaching classes

A father can do a certain job in x hours. His son takes twice as long to do the job. Working together, they can do the job in 6 hours. How many hours does the father take to do the job? 

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Jitender 01/06/2016 in  CAT Coaching classes

In a 200m race, if A gives B a start of 25 metres, then A wins the race by 10 seconds. Alternatively, if A gives B a start of 45 metres the race ends in a dead heat. How long does A take to run 200m?

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Igno 01/06/2016 in  CAT Coaching classes

In a kilometre race, A can give B a start of 100 m or 15 seconds. How long does A take to complete the race? 

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Anu 01/06/2016 in  CAT Coaching classes

A gives B a start of 10 metres in a 100 metre race and still beats him by 1.25 seconds. How long does B take to complete the 100 metre race if A runs at the rate of 10 m/sec?

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Rajini Sucharita 01/06/2016 in  CAT Coaching classes

 A predator is chasing its prey. The predator takes 4 leaps for every 6 leaps of the prey and the predator covers as much distance in 2 leaps as 3 leaps of the prey. Will the predator succeed in getting its food?

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Ramya 01/06/2016 in  CAT Coaching classes

  A can give B a start of 50 metres or 10 seconds in a kilometer race. How long does A take to complete the race?

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Manisha 01/06/2016 in  CAT Coaching classes

he average monthly salary of 12 workers and 3 managers in a factory was 600. When one of the managers whose salary was 720, was replaced with a new manager, the average salary of the team went down to 580. What is the salary of the new manager?

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Tanush 01/06/2016 in  CAT Coaching classes

The average wage of a worker during a fortnight comprising 15 consecutive working days was 90 per day. During the first 7 days, his average wage was 87/day and the average wage during the last 7 days was 92/day. What was his wage on the 8th day?

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