CAT4MBA

1) Saket and Prakash takes 7.5 days working together.However ,if Saket and Prakash works individually to complete the equal amount of work,it takes them 20 days to complete the job.How long will prakash alone take todo the job if Saket is more efficient than Prakash?
a) 18 days b) 24 days c) 30 days d) 27 days

2) Five person working 8 hours daily can complete a wall in 10 days. When they have worked for 5 & 1/2 days ,5 more persons are brought to work. in how many more days will the wall be complete?
a) 1 more day b) More than 2 days c) More than 4 days d) More than 3 days

3) A 6cm long cigarette will burn itself up in 15 min. if no puff is taken .For every puff, it burns three times as fast as during the duration of the puff. If the cigarette burns itself in 13 min,then how many puffs has the smoker taken if his average puff lasted 3 seconds.

4) 2 pipes A & B can replace separately fill a cistern in 10 min. & 5 min. respectively and a waste pipe can carry off 12l/min. If all the pipes are opened when the citern is full ,it is emptied in 1 hours.What is the capacity of cistern.
a) 40 lt b) 35 lt c) 95 lt d) None of these

5) 300 workers are set to build a dam .In 21 weeks they have done 60 % of the work,but subsequent rain lasting 4 weeks washed away 25% of what they had done. The job is resumed by 200 workers. What is the additional time taken to complete the work?
a) 12  b)24  c) 36 d)  None of these

6) A Zamindar hired acertain number of men to plough his 480 acres of fields.Some of the men did not turned up at the job, and consequently each of those who reported had to plough 20 acres more of the fields each than originally planned by the zamindar,assuming equal distribution of labour. How many men initially appointed and how many abstained from the job?
a) 15,5    b) 12,8   c) 10,3  d) 16,10

7) 20 men are employed to do a piece of work in 24 days. after 15 dat=ys ,10 more men were engaged and the work was finished a day earlier than actually planned .In what time would they finished the work ,if extra men were not employed ?
a) 29.5 days   b) 24.6 days  c) 26.5 days  d) 21.7 days

8) A piece of work can be done by A & B in 10 days ,by B and C in 15 days & by C and A in 20 days .All 3 worked for 6 days and then withdrew .B and C worked for another 4 days and then stopped working. How many days will C take to complete the remaining work?
a) 12  b)   12.5   c)  10.33   d)   10

9) A group of 30 people can complete a job by working for 10 hours a day in 15 days .The group starts the work. But at thae end of every day,starting from the 1st day,one person leaves the group and the remaining people works for 20 min. less on the next day.

Answers these questions:
i) On which day will work be completed?
a)  28th  b)  29th  c)  30th  d)  None of these
ii) What part of the work,approx. remains to be done at the end of 15 days?
a)  0.51  b)  0.61  c)  0.49  d)  0.39

10) 3 factories are capable of manufacturing parts of the bike. Each of the two factories can produce 1,00,000 parts in 15 days .The 3rd can produce them 30% faster. How many days (approx.) would it take to produce 1 million parts with all the three working simultaneously?
a)  43  b)  45  c)  48  d)  52

11) A cistern can be filled separately by 2 pipes P & Q in 45 & 35 mins. respectively. A tap R at the bottom can empty the full cistern in 30 min. If the tap R is opened 7 min. after the two pipes P & Q are opened after what time from the opening of the pipe P & Q the cistern become full?

a) 40 th  b) 61st  c)  37th  d) None of these

12) 4 machines A,B,C & D are to be used for producing 10,000 units .Machine A alone can produce 50 units in a day;B is half as efficient as A,C is as efficient as A & D is twice as efficient as A. In how many days would the work be completed if all the 4 machines started working together?
a)  19    b)  21  c)46    d) None of these

13) A tank can be filled by one tap in 20 min. &  by another in 25 min. .Both the taps is turned off .In how many more time will the tap be filled?
a)  11    b) 13   c)  15.5   d)  13