# Practice Test

Q1) Raju can do 25% of a piece of work in 5 days. How many days will he take to complete the work ten times? Show Answer

Q2) 2 men can do a piece of work in 12 days. How many men are needed to do the work in 18 days. Show Answer

Q3) A can do a piece of work in 20 days and B can do it in 15 days. How long will they take if both work together? Show Answer

Q4) A can do a piece of work in 20 days and B can do it in 15 days. If C, who can finish the same work in 25 days, joins them, then how long will they take to complete the work? Show Answer

Q5) Nishu and Archana can do a piece of work in 10 days and Nishu alone can do it in 12 days. In how many days can Archana do it alone? Show Answer

Q6) Baba alone can do a piece of work in 10 days. Anshu alone can do it in 15 days. If the total wages for the work is Rs. 50. How much should Baba be paid if they work together for the entire duration of the work? Show Answer

Q7) 4 men and 3 women finish a job in 6 days, and 5 men and 7 women can do the same job in 4 days. How long will 1 men and 1 women take to do the work? Show Answer

Q8) If 8 boys and 12 women can do a piece of work in 25 days, in how many days can the work be done by 6 boys and 11 women working together? Show Answer

Q9) A can do a piece of work in 10 days and B can do the same work in 20 days. With the help of C, they finish the work in 5 days. How long will it take for C along to finish the work? Show Answer

Q10) A can do a piece of work in 20 days. He works at it for 5 days and then B finishes it in 10 more days. In how a many days will A and B together finish their work? Show Answer

Q11) A and B undertake to do a piece of work for Rs. 100. A can do it in 5 days and B can do it in 10 days. With the help of C, they finish it in 2 days. How much should C be paid for his contribution? Show Answer

Q12) Twenty workers can finish a piece of work in 30 days. After how many days should 5 workers leave the job so that the work is completed in 35 days? Show Answer

Q13) Arun and Vinay together can do a piece of work in 7 days. If Arun does twice as much work as Vinay in a given time, how long will Arun alone take to do the work. Show Answer

Q14) Subhash can copy 50 pages in 10 hours; Subhash and Prakash together can copy 300 pages in 40 hours. In how much time can Prakash copy 30 pages? Show Answer

Q15) X number of men can finish a piece of work in 30 days. If there were 6 men more, the work could be finished in 10 days less. What is the original number of men? Show Answer

Q16) Sashi can do a piece of work in 25 days and Rishi can do it in 20 days. They work for 5 days and then Sashi goes away. In how many more days will Rishi finish the work? Show Answer

Q17) Raju can do a piece of work in 10 days, Vicky in 12 days and Tinku in 15 days. They all start the work together, but Raju leaves after 2 days and Vicky leaves 3 days before the work is completed. In how many days is the work completed? Show Answer

Q18) Sambhu can do 1/2 of the work in 8 days while Kalu can do 1/3 of the work in 6 days. How long will it take for both of them to finish the work? Show Answer

Q19) Manoj takes twice as much time as Anjay and thrice as much as Vijay to finish a piece of work. Together they finish the work in 1 day. What is the time taken by Manoj to finish the work? Show Answer

Q20) An engineer undertakes a project to build a road 15 km long in 300 days and employs 45 men for the purpose. After 100 days, he finds only 2.5 km of the road has been completed. Find the (approx.) number of extra men he must employ to finish the work in time. Show Answer

Q21) Apurva can do a piece of work in 12 days. Apurva and Amit complete the work together and were paid Rs. 54 and Rs. 81 respectively. How many days must they have taken to complete the work together? Show Answer

Q22) Raju is twice as good as Vijay. Together they finish the work in 14 days. In how many days can Vijay alone do the same work? Show Answer

Q23) In a company XYZ Ltd. A certain number of engineers can develop a design in 40 days. If there were 5 more engineers, it could be finished in 10 days less. How many engineers were there in the beginning? Show Answer

Q24) If 12 men and 16 boys can do a piece of work in 5 days and 13 men and 24 boys can do it in 4 days, compare the daily work done by a man with that done by a boy? Show Answer

Q25) A can do a work in 10 days B can do the same work in 20 days. They work together for 5 days and then A goes away. In how many more days will B finish the work? Show Answer

Q26) 30 men working 5 h a day can do a work in 16 days. In how many days will 20 men working 6 h a day do the same work? Show Answer

Q27) Ajay and Vijay undertaken to do a piece of work for Rs. 200. Ajay alone can do it in 24 days while Vijay alone can do it in 30 days. With the help of Pradeep, they finish the work in 12 days. How much should Pradeep get for his work? Show Answer

Q28) 15 men could finish a piece of work in 210 days. But at the end of 100 days, 15 additional men are employed. In how many more days will the work be completed? Show Answer

Q29) Ajay, Vijay and Sanjay are employed to do a piece of work for Rs. 529. Ajay and Vijay together are supposed to do 19/23 of the work and Vijay and Snajay together 8/23 of the work. How much should Ajay be paid? Show Answer

Q30) Anmol is thrice as good a workman as Vinay and therefore is able to finish the job in 60 days less than Vinay. In how many days will they finish the job working together? Show Answer

Q31) In a fort there was sufficient food for 200 soldiers for 31 days. After 27 days 120 soldiers left the fort. For how many extra days will the rest of the food last for the remaining soldiers? Show Answer

Q32) Anju, Manju and Sanju together can reap a field in 6 days. If Anju can do it alone in 10 days and Manju in 24 days. In how many days will Sanju alone be able to reap the field? Show Answer

Q33) Ajay and Vijay can do a piece of work in 28 days. With the help of Manoj, they can finish it in 21 days. How long will Manoj take to finish the work all alone? Show Answer

Q34) Ashok and Mohan can do a piece of work in 12 days. Mohan and Binod together do it in 15 days. If Ashok is twice as good a workman as Binod. In how much time will Mohan alone can do the work? Show Answer

Q35) Ajay and Vijay together can do a piece of work in 6 days. Ajay alone does it in 10 days. What time does Vijay require to do it alone? Show Answer

Q36) A cistern is normally filled in 5 hours. However, it takes 6 hours when there is leak in its bottom. If the cistern is full, in what time shall the leak empty it? Show Answer

Q37) Pipe A and B running together can fill a cistern in 6 minutes. If B takes 5 minutes more than A to fill the cistern, then the time in which A and B will fill the cistern separately will be respectively? Show Answer

Q38) A can do a work in 18 days, B in 9 days and C in 6 days. A and B start working together and after 2 days C joins them. In how many days will the job be completed? Show Answer

Q39) 24 men working 8 h a day can finish a work in 10 days. Working at a rate of 10 h a day, the number of men required to finish the work in 6 days is Show Answer

Q40) A certain job was assigned to a group of men to do it in 20 days. But 12 men did not turn up for the job and the remaining men did the job in 32 days. The original number of men in group was Show Answer

Q41) 12 men complete a work in 18 days. 6 days after they had started working. 4 men join them. How many more days will all of them take to complete the remaining work? Show Answer

Q42) A takes 5 days more than B to do a certain job and 9 days more than C; A and B together can do the job in the same time as C. How many days A would take to do it? Show Answer

Q43) A cistern is normally filled in 6 h but takes 4 h longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in how much time? Show Answer

Q44) If three taps are open together a tank is filled in 10 h. One of the taps can fill in 5 h and another in 10 h. At what rate does the 3rd pipe work? Show Answer

Q45) There are two pipes in a tank. Pipe A is for filling the tank and Pipe B is for emptying the tank. If A can fill the tank 10 hours and B can empty the tank in 15 hours then find how many hours will it take to completely fill a half empty tank? Show Answer

Q46) Abbot can do some work in 10 days, Bill can do it in 20 days and Clinton can do it in 40 days. They start working in turns with Abbot starting to work on the first day followed by Bill on the second day and by Clinton on the third day and again by Abbot on the fourth day and so on till the work is completed fully. Find the time taken to complete the work fully? Show Answer

Q47) A, B and C can do some work in 36 days. A and B together do twice as much work as C alone and A and C together can do thrice as much work as B alone. Find the time taken by C to do the whole work. Show Answer

Q48) There are three Taps, A, B and C in a tank. They can fill the tank in 10 hrs, 20 hrs, and 25 hrs respectively. At first, all of them are opened simultaneously. Them after 2 hours, tap C is closed and A and B are kept running. After the 4th hour, tap B is also closed. The remaining work is done by Tap A alone. Find the percentage of the work done by Tap A by itself. Show Answer

Q49) Two taps are running continuously to fill a tank. The 1 st tap could have filled it in 5 hours by itself and the second one by itself could have filled it in 20 hours. But the operator failed to realize that there was a leak in the tank from the beginning which caused a delay of one hour in the filling of the tank. Find the time in which the leak would empty a filled tank. Show Answer

Q50) A can do some work in 24 days. B can do it in 32 days and C can do it in 60 days. They start working together. A left after 6 days and B left after working for 8 days. How many days are required to complete the whole work? Show Answer

Q51) Two forest officials in their respective divisions were involved in the harvesting of tendu leaves.One division had an average output of 21 tons from a hectare and the other division, which had 12 hectares of land less, dedicated to tendu leaves, got 25 tons of tendu from a hectare. As a result, the second division harvested 300 tons of tendu leaves more than the first. How many tons of tendu leaves did the first division harvest?

Q52) According to a plan, a drilling team had to drill to a depth of 270 meters below the ground level. For the first three days the team drilled as per the plan. However, subsequently finding that their resources were getting underutilized according to the plan, it started to drill 8 meters more than the plan every day. Therefore, a day before the planned date they had drilled to a depth of 280 meters. How many meters of drilled was the plan for each day. Show Answer

Q53) A pipe can fill a tank in x hours and another can empty it in y hours. If the tank is 1/3 rd full then the number of hours in which they will together fill it in is Show Answer

Q54) Dev and Tukku can do a piece of work in 45 and 40 days respectively. They began the work together, but Dev leaves after some days and Tukku finished the remaining work in 23 days. After how many days did Dev leave. Show Answer

Q55) A finishes 6/7th of the work in 2 z hours, B works twice as fast and finishes the remaining work. For how long did B work? Show Answer

Q56) How many minutes will it take to fill the tank if all the 23 pipes are opened at the same time? Show Answer

Q57) If only half the pipes of set X are closed and only half the pipes of set Y are open and all other pipes are open, how long will it take to fill 49% of the tank? Show Answer

Q58) If 4 pipes are closed in set Z, and all others remain open, how long will it take to fill the tank? Show Answer

Q59) If the tank is half full and set X and Y are closed, how many minutes will it take for set Z to empty the tank if alternate taps of set Z are closed. Show Answer

Q60) If one pipe is added for set X and set Y and set Z's capacity is increased by 20% on its original value and all the taps are opened at 2.58 p.m., then at what time does the tank get filled? (If it is initially empty.) Show Answer

Q61) Ajit can do as much work in 2 days as Baljit can do in 3 days and Baljit can do as much in 4 days as Diljit in 5 days. A piece of work takes 20 days if all work together. How long would Baljit take to do all the work by himself? Show Answer

Q62) Two pipes can fill a cistern in 14 and 16 hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom of the cistern, it takes 32 minutes extra for the cistern to be filled up. When the cistern is full, in what time will the leak empty is? Show Answer

Q63) A tank holds 100 gallons of water. Its inlet is 7 inches in diameter and fills the tank at 5 gallons/min. The outlet of the tank is twice the diameter of the inlet. How many minutes will it take to empty the tank if the inlet is shut off, when the tank is full and the outlet is opened? (Hint: Rate of filling or emptying is directly proportional to the diameter) Show Answer

Q64) A tank of capacity 25 liters has an inlet and an outlet tap. If both are opened simultaneously, the tank is filled in 5 minutes. But if the outlet flow rate is doubled and taps opened the tank never gets filled up. Which of the following can be outlet flow rate in liters/min? Show Answer

Q65) X takes 4 days to complete one-third of a job, Y takes 3 days to complete one-sixth of the same work and Z takes 5 days to complete half the job. If all of them work together for 3 days and X and Z quit, how long will it take for Y to complete the remaining work done. Show Answer

Q66) A completes 2/3 of a certain job in 6 days. B can complete 1/3 of the same job in 8 days and C can complete 3/4 of the work in 12 days. All of them work together for 4 days and then A and C quit. How long will it take for B to complete the remaining work alone? Show Answer

Q67) Three diggers dug a ditch of 324 m deep in six days working simultaneously. During one shift, the third digger digs as many meters more than the second as the second digs more than the first. The third digger's work in 10 days is equal to the first digger's work in 14 days. How many meters does the first digger dig per shift? Show Answer

Q68) A, B and C working together completed a job in 10 days. However, C only worked for the first three days when 37/100 of the job was done. Also, the work done by A in 5 days is equal to the work done by B in 4 days. How many days would be required by the fastest worker to complete the entire work? Show Answer

Q69) A and B completed a work together in 5 days. Had A worked at twice the speed and B at half the speed, it would have taken them four days to complete the job. How much time would it take for A alone to do the work? Show Answer

Q70) Two typists of varying skills can do a job in 6 minutes if they work together. If the first typist types alone for 4 minutes and then the second typist types alone for 6 minutes, they would be left with 1/5 of the whole work. How many minutes would it take the slower typist to complete the typing job working alone? Show Answer

Q71) Three cooks have to make 80 idlis. They are known to make 20 pieces every minute working together. The first cook began working alone and made 20 pieces having worked for sometime more than three minutes. The remaining part of the work was done by the second and the third cook working together. It took a total of 8 minutes to complete the 80 idlis. How many minutes would it take the first cook alone to cook 160 idlis for a marriage party the next day? Show Answer

Q72) It takes six days for three women and two men working together to complete a work. Three men would do the same work five days sooner than nine women. How many time does the output of a man exceed that of a woman? Show Answer

Q73) Each of A, B and C need a certain unique time to do a certain work. C needs 1 hour less than A to complete the work. Working together, they require 30 minutes to complete 50% of the job. The work also gets completed if A and B start working together and A leaves after 1 hour and B works for a further 3 hours. How much work does C do per hour? Show Answer

Q74) Tow women Renu and Ushi are working on an embroidery design. If Ushi worked alone, she would need eight hours more to complete the design than if they both worked together. Now if Renu worked alone, it would need 4.5 hours more to complete the design than they both working together. What time would it take Renu alone to complete the design? Show Answer

Q75) Mini and Vinay are quiz masters preparing for a quiz. In x minutes, Mini makes y questions more than Vinay. If it were possible to reduce the time needed by each to make a question by two minutes, then in x minutes Mini would make 2 y questions more than Vinay. How many questions does Mini make in x minutes? Show Answer

Q76) A tank of 3600 cu m capacity is being filled with water. The delivery of the pump discharging the tank is 20% more than the delivery of the pump filling the same tank. As a result, twelve minutes more time is needed to fill the tank than to discharge it. Determine the delivery of the pump discharging the tank. Show Answer

Q77) Two pipes A and B can fill up a half full tank in 1.2 hours. The tank was initially empty. Pipe B was kept open for half the time required by pipe A to fill the tank by itself. Then, pipe A was kept open for as much time as was required by pipe B to fill up 1/3 of the tank by itself. It was then found that the tank was 5/6 full. The least time in which any of the pipes can fill the tank fully is Show Answer

Q78) A tank of 425 liters capacity has been filled with water through two pipes, the first pipe having been opened five hours longer than the second. If the first pipe were open as long as the second, and the second pipe was open as long as the first pipe was open, then the first pipe would deliver half the amount of water delivered by the second pipe; if the two pipes were open simultaneously, the tank would be filled up in 17 hours. How long was the second pipe open? Show Answer

Q79) Two men and a women are entrusted with a task. The second man needs three hours more to cope with the job than the first man and the woman would need working together. The first man, working alone, would need as much time as the second man and the woman working together. The first man, working alone, would spend eight hours less than the double period of time the second man would spend working alone. How much time would the two men and the woman need to complete the task if they all worked together? Show Answer

Q80) The Buhna dam has four inlets. Through the first three inlets, the dam can be filled in 12 minutes; through the second, the third and the fourth inlet, it can be filled in 15 minutes; and through the first and the fourth inlet, in 20 minutes. How much time will it take all the four inlets to fill up the dam? Show Answer

Q81) Given this situation, the minimum number of days in which the company can launch a new toy going through all the stages is Show Answer

Q82) If A and C refuse to have anything to do with the manufacturing set up. The number of days by which the project will get delayed will be Show Answer

Q83) If each of the five works is equally valued at Rs. 10,000, the maximum amount will be received by Show Answer

Q84) If each of the five works in equally valued at Rs. 10,000, the second highest amount will be received by Show Answer

Q85) If C works at 90.909% of his efficiency during marketing and launch, who will be highest paid amongst the five of them? Show Answer

Q86) If the company decides that the first 4 works can be started simultaneously and the experts will be allocated to their respective work areas only and a work will be done by a non-expert only if the work in his area of expertise is completed, then the expert who will first be assisted in his work will be (assume that marketing and launch can only be done after the first four are fully completed) Show Answer

Q87) If the company decides that the first 4 works can be started simultaneously and the experts will be allocated to their respective work areas only and a work will be done by a non-expert only if the work in his area of expertise is completed, the minimum number of days in which the whole project will get completed (assume everything is utilized efficiently all the time, and nobody is utilized in a work that he refuses to work upon) Show Answer

Q88) If the company decides that the first 4 works can be started simultaneously and the experts will be allocated to their respective work areas only and a work will be done by a non-expert only if the work in his area of expertise is completed, the highest earning will be for Show Answer

Q89) If each work has an equal payment of Rs. 10,000, the lowest earning will be for Show Answer

Q90) The value of the earning for the highest earning person, will be Show Answer

Q91) If the king wants to maximise the time for which his resistance holds up, he should Show Answer

Q92) Based on existing resources, the maximum number of months for which the fort's resistance can last is Show Answer

Q93) If the king makes a decision error, the maximum reduction in the time resistance could be Show Answer

Q94) If the king estimates that the attackers can last for only 50 months, what should the king do to ensure victory? Show Answer

Q95) If a reduction in the ration allocation by 10% reduces the capacity of any soldier to hold off the enemy by 10%, the number of whole months by which the king can increase the life of the resistance by reducing the ration allocation by 10% is Show Answer

Q96) The minimum amount of grain that should be available in granary to ensure that the fort is not lost (assuming the estimate of the king of 50 months being the duration for which the enemy can last is correct) is Show Answer

Q97) If the king made the worst possible selection of his soldiers to offer the resistance, the percentage increase in the minimum amount of grain that should be available in the granary to ensure that the fort is not lost is Show Answer

Q98) The difference in the minimum grain required for the second worst choice and the worst choice to ensure that the resistance lasts for 50 months is Show Answer

Q99) If the king strategically attacks the feeder line on the first day of the resistance so that the grain is no longer a constraint, the maximum time for which the resistance can last is Show Answer

Q100) If the feeder line is opened after 6 months and prior to that the king has made decisions based on food availability being a constraint then the number of months (maximum) for which the resistance could last is Show Answer

Q101) If both burners are opened simultaneously such that the first is opened to 90% of its capacity and the second is opened to 80% of its capacity, the amount of time in which the gas cylinder will be empty (if it was half full at the start) will be: Show Answer

Q102) The maximum amount of heat with the fastest speed of cooking that can be utilized for cooking will be when: Show Answer

Q103) The amount of heat utilized for cooking if a full gas cylinder is burnt by opening the aperture of burner A 100% and that of burner B is 50% is Show Answer

Q104) The amount of heat utilized for cooking if a full gas cylinder is burnt by opening the aperture of burner A 100% and that of burner B is 50%. If burner A had been opened only 25% and burner B had been opened 50%, the amount of heat available for cooking would be Show Answer

Q105) If burner A had been opened only 25% and burner B had been opened 50%. What will be the amount of time required to finish a full gas cylinder? Show Answer

Q106) Six technicians working at the same rate complete the work of one server in 2.5 hrs. If one of them starts at 11:00 a.m. and one additional technicians per hour is added beginning at 5:00 p.m., at what time the server will be complete? Show Answer

Q107) A, B and C individually can finish a work in 6, 8 and 15 hours respectively. They started the work together and after completing the work got Rs. 94.60. When they divide the money among themselves. A, B and C will get respectively (in Rs.) Show Answer

Q108) Anand and Bharat can cut 5 kg of wood in 20 min, Bharat and Chandra can cut 5 kg of wood in 40 min. Chandra and Anand can cut 5 kg. of wood in 30 min. How much time Chandra will take to cut 5 kg. of wood alone? Show Answer

Q109) A contractor receives a certain sum every week for paying wages. His own capital together with the weekly sum enables him to pay 45 men for 52 weeks. If he had 60 men and the same wages his capital and weekly sum would suffice for 13 weeks, how many men can be maintained for 26 weeks? Show Answer

Q110) A group of workers was put on a publishing job. From the second day onwards one worker was withdrawn each day. The job was finished when the last worker was withdrawn. Had no worker been withdrawn at any stage, the group would have finished the job in two-thirds the time. How many workers were there in the group? Show Answer

Q111) There is a leak in the bottom of a tank. This leak can empty a full tank in 8 hours. When the tank is full, a tap is opened into the tank which admits 6 liters per hour and the tank is now emptied in 12 hours. What is the capacity of the tank? Show Answer

Q112) There bells chime at intervals of 18, 24 and 32 minutes respectively. At a certain time they begin to chime together. What length of time will elapse before they chime together again? Show Answer

Q113) In his book on Leonardo da Vinci, Sigmund Freud, after a detailed psychoanalysis concluded that Goethe could complete the masterpiece in nine days as he could channelize overly but was more possessed as a result of which he could generate 50% more efficiency than Goethe. The number of days it takes Leonardo da Vinci to do the same piece of work that Goethe completes in nine days is: Show Answer

Q114) Find the number of trains from Chennai to Jammu which a train from Jammu to Chennai will encounter in completing its journey. (Assume all trains run exactly on time). Show Answer

Q115) The minimum number of rakes that the Indian Railways will have to devote for running this daily service will be : Show Answer

Q116) Ali along with his friend embarked on a boat journey. While making all his preparations for the journey, he checked with the boat manufacturer's data and was glad to learn that the boat was really dependable as it could float even if it was upto 75% full of water (with more water it could sink). Unfortunately, the boat developed a hole during his journey the hole filling up water @ 2 liter per minute. The boat was also equipped with a drainage pump which could empty a boat full of water in 32 hrs. If Ali figures that they have a maximum of 12 hrs to reach a safe place (before they sink), what is the capacity of the boat? Show Answer

Q117) For a particular order from Earth, the tools are to be manufactured in the sequence FEBCAD, what is the minimum time taken to execute the order? Show Answer

Q118) If a revolutionary technology is imported from the earth, the time required for working on each took is reduced to half it's current time on both machines. With this technology in place, what is the shortest possible time in which the above order can be executed? Show Answer

Q119) A man can climb up a greased pole 30 ft high in 15 seconds (where 10 seconds is used for climbing up and 5 seconds when he is slipping down). If grease causes a downward slip of 2 ft a second, the time taken by the man to climb a non greased pole would be: Show Answer

Q120) The Hosur Computer Company gets a large supply order for assembled computers of two different configurations A and B from the Karnataka government. The supply order for A-type computers being double that of the B-type. A team of hardware experts was assigned the task which worked on A-type computers. For the second day, the team was split into two equal groups : the first continued work on A-type computers and completed the work order by day end. The second group, however could not complete work order for B-type computers on the second day and this work order could only be completed by employing two experts for the whole of the third day. What was the strength of the team if it is known that a B-type computer takes 20% less time to assemble than A-type? Show Answer

Q121) In a 4000 meter race around a circular track (in the stadium at IIM Bangalore) having a circumference of 1000 meters, the fastest runner and the slowest runner reach the same point at the end of the 5 th minute, for the first time after the start of the race. All the runners have the same starting point and each runner maintains a uniform speed throughout the race. If the slowest runner runs at half the speed of the fastest runner, what is the time taken by the slowest runner to finish the race? Show Answer

Q122) Steven fell in love with Ankita who lived 630 miles away. He decided to propose his beloved and invited her to travel to his place and offered to meet her end route and bring her home. Steven is able to cover 4 miles per hour to Ankita's 3 miles per hour. How far will each have traveled upon meeting? Show Answer

Q123) A manufacturing job was wrongly estimated to be completed in 10 days by x machines. By developing 3 extra machines, the job was completed in 12 days. If only one additional machine was used, how many days more than that estimated would it have taken to complete the job? Show Answer

Q124) At a shooting competition, RATHORE and BINDRA had x bullets between them. BINDRA fired 'a' bullets per min. RATHORE fired 'b' bullets per min. After time 't' both of them had the same number of bullets. What is the initial number of bullets with RATHORE? Show Answer