Dear Readers,
Q2. A bath can be filled by the cold water pipe in 40 minutes and by the hot water pipe in 60 minutes. A person leaves the bathroom after turning on both pipes simultaneously and returns at the moment when the bath should be full. Finding, however, that the waste pipe has been open, he now closes it. In 12 minutes more the bath is full. In what time would the waste pipe empty it?
Q2. A bath can be filled by the cold water pipe in 40 minutes and by the hot water pipe in 60 minutes. A person leaves the bathroom after turning on both pipes simultaneously and returns at the moment when the bath should be full. Finding, however, that the waste pipe has been open, he now closes it. In 12 minutes more the bath is full. In what time would the waste pipe empty it?
(a) 32 min
(b) 58 min
(c) 48 min
(d) 54 min
(e) None of these
Q3. P and Q together can finish a work in 15 days. P and R take 2 days more to complete the same work than Q and R. P, Q and R can complete the work in 8 days. In how many days P can finish it separately?
(e) None of these
Q4. A man makes 60 articles in the 1st hour. His efficiency decreases by 25% in the 2nd hour, increases by 40% in the 3rd hour, decreases by 33% in the 4th hour and increases by 50% in the 5th hour. If he has to work for more than1 hour, then in which hour the average number of articles produced per hour then would be minimum?
(a) 2nd hour
(b) After 5th hour
(c) 3rd hour
(d) None of these
(e) Cannot be determined
Q5. The cost of building a wall is Rs. 1,347. Wages of workmen is increased by 1/8 of the former wages and working hours per day have been increased by 1/20 of the former duration. What is the new cost (approximately) of building a wall, the length of which is two times the length of this wall and the other dimensions of this wall are same?
(a) Rs. 2,692
(b) Rs. 2,724
(c) Rs. 2,886
(d) Rs. 2,484
(e) None of these
Q6. Kishore can do a piece of work in a certain number of days. To do the same piece of work, Sheetal takes thrice the number of days as Kishore takes whereas Pankaj takes thrice as many days as Sheetaldoes and Shweta takes thrice as many days as Pankaj does. Now, they are paired and two groups are formed. The first pair takes one-third the time taken by the second pair to complete the work. Which is the first pair?
(a) Kishore and Shweta
(b) Kishore and Pankaj
(c) Pankaj and Sheetal
(d) Sheetal and Shweta
(e) None of these
Q7. Akshar, Akshay and Akshat have to read a document of seventy eight pages and make a presentation next day. They realize that the article is difficult to understand and they would require team work to finish the assignment. Akshar can read a page in 2 min, Akshay in 3 min, and Akshat in 4 min. If they divide the article into 3 parts so that all three of them spend the equal amount of time on the article, the number of pages that Akshay should read is
Q8. A, B and C can do a piece of work in 12, 18 and 24 days respectively, they work at it together, A stops the work after 4 days and B is called off 2 days before the work is done. In what time was the work finished?
(a) 12 days
(b) 14 days
(c) 16 days
(d) 8 days
(e) None of these
Q9. 25 men can do a work in 20 days, when should 15 men leave the work, if the whole work is to be completed in 75/2 days after they leave the work?
(a) 3 days
(b) 4 days
(c) 5 days
(d) 6 days
(e) None of these
Q10. Three pipes A, B and C can fill a tank in 15 minutes, 20 minutes and 30 minutes respectively. The pipe C is closed 6 minutes before the tank is filled. In what time the tank will be full?
(a) 6 minutes
(b) 8 minutes
(c) 12 minutes
(d) 14 minutes
(e) None of these
Directions (Q.11-14): The following questions are followed by three statements (A) or I,(B) or II and (C) or III. You have to determine which statement(s) is/are sufficient/necessary to answer the given question.
Q11. Find the number of days in which Anish can do a job if Farhan alone can do the same job in 15 days.
A.Farhan is 25% more efficient than Anish.
B.Anish and Farhan together can do the work in 60/7 days.
C.Seven-tenths of the work is done by Farhan and Anish together in 6 days.
(a) Any two of them
(b) Either A or B only
(c) Any of them
(d) A and C together
(e) All statements are required
Q13. How many workers are required for completing the construction work in 10 days?
I. 20% of the work can be completed by 8 workers in 8 days
II. 20 workers can complete the work in 16 days
III. One eighth of the work can be completed by 8 workers in 5 days
(a) I and II only
(b) II and III only
(c) I only
(d) III only
(e) Any one of three is sufficient
Q14.In how many days can 16 men and 8 women together complete the piece of work?
A. 8 men complete the piece of work in 10 days.
B. 16 women complete the piece of work in 10 days.
C. 5 women take 32 days to complete the piece of work.
(a) Only A and B
(b) Only A and C
(c) Only B and C
(d) Only B and either A or C
(e) Either A and B or either A and C
Q15. Quantity I — Time taken by B to complete the work, if A and B together can do the same work in 7 days while B is 7/4 times efficient than A.
Quantity II — Time taken by X, Y and Z all together to complete a work, if X works half of Y while Z works half of the work done by X and Y together. The time taken by Z alone to complete the work is 12 days.
(a) Quantity I > Quantity II
(b) Quantity I < Quantity II
(c) Quantity I ³ Quantity II
(d) Quantity I = Quantity II
(e) No relation
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