1. If a man completes a job in 6 days working 6 hours a day, in how many days can he complete the job working 9 hours a day?
A. 8
B. 2
C. 4
D. 6
Correct Answer : C
2. If 30 men can do a job in 30 days, find what part of the job can be completed by 1 man in 1 day.
A. 1 / 30
B. 1 / 90
C. 1 / 900
D. None of these
Correct Answer : C
3. P is twice as fast as Q and R together. Working together, all three can do a work in 21 days. In how many days can Q and R together do the work?
A. 48
B. 63
C. 54
D. 72
Correct Answer : B
4. Varma can read a book in k minutes. What part of the book can he read in 8 minutes?(k > 8)
A. 8+k
B. 8/k
C. k/8
D. (k-8)/k
Correct Answer : B
5. Tap A takes 4 hours to fill a tank. Tap B takes 6 hours to fill the tank. If both the taps were opened simultaneously, by the time the tank was full, what fraction of the tank was filled by tap A?
A. 3.2 hours, 2/5
B. 3.2 hours, 3/5
C. 2.4 hours, 2/5
D. 2.4 hours, 3/5
Correct Answer : D
6. An inlet pipe takes 8 hours to fill a tank. An outlet pipe takes 12 hours to empty it. If both pipes are opened simultaneously, in how many hours will the tank be filled?
A. 8
B. 12
C. 24
D. 36
Correct Answer : C
7. 2 men can complete a job in 8 days working 8 hours a day. How many men are required to complete twice the job working 4 hours a day for 4 days?
A. 16
B. 32
C. 24
D. 48
Correct Answer : A
8. 2 men can complete a job in 8 days working 8 hours a day. How many men are required to complete the job in 4 days working 4 hours a day?
A. 8
B. 16
C. 12
D. 4
Correct Answer : A
9. If X is 40% more efficient than Y, find the ratio of the efficiencies of X and Y.
A. 5 : 3
B. 3 : 5
C. 5 : 7
D. 7 : 5
Correct Answer : D
10. If the ratio of the individual times taken by P, Q and R to complete a job is 2 : 3 : 6, find the ratio of the parts of the jobs done by P, Q and R in an hour.
A. 2 : 3 : 6
B. 6 : 3 : 2
C. 3 : 2 : 1
D. 1 : 2 : 3
Correct Answer : C
11. A and B working together can complete a job in 30 days. The ratio of their efficiencies is 3 : 2. In how many days can the faster person complete the job?
A. 30
B. 40
C. 50
D. 60
Correct Answer : C
12. The ratio of the efficiencies of P, Q and R is 4 : 5 : 6. If they completed a job working together, find the fraction of the job done by P.
A. 1 / 5
B. 1 / 3
C. 4 / 15
D. 7 / 15
Correct Answer : C
13. P and Q completed a job working together in x days. P takes (x + 8) days to complete the job, Q takes (x + 18) days to complete the job. Find x.
A. 8
B. 12
C. 16
D. 20
Correct Answer : B
14. X can complete a job in 30 days. Y can complete the job in 60 days. Both work together along with Z to complete the job in 10 days. Find the share of Z in a total of 6000 paid for the work.
A. 3000
B. 4000
C. 6000
D. 8000
Correct Answer : A
15. X and Y can complete a job in 15 days working together. Y and Z can complete the job in 20 days working together. X and Z can complete the job in 30 days working together. Who is the slowest of the 3 workers?
A. X
B. Y
C. Z
D. Cannot be determined
Correct Answer : C
16. P, Q and R take 20 days, 30 days and 40 days to complete a job. The three work in a rotation to complete the job with only 1 person working on a day. Who should start the job so that the job is completed in the least possible time?
A. P
B. Q
C. R
D. Any one of the three
Correct Answer : A
17. For how many days will 75 kg of ration be sufficient for a family of 6 members if each member consumes 1.25 kg of ration per day?
A. 12
B. 15
C. 20
D. 10
E. 0
Correct Answer : D
18. P can complete a job in 30 days. Q can complete the job in 60 days. If they work on alternate days, the job would be completed in the
A. least possible time, if P starts the job
B. least possible time, if Q starts the job
C. same time, irrespective of who starts the job
D. 0
Correct Answer : C
19. P and Q can complete a job in 12 days working together. Q and R can complete the job in 20 days working together. P and R can complete the job in 15 days working together. In how many days can P, Q and R complete the job working together?
A. 5
B. 10
C. 15
D. 20
Correct Answer : B
20. 9 men can complete a job in 20 days. If a woman works at one-third the rate of a man, in how many days can 15 women complete the job?
A. 30
B. 24
C. 36
D. 48
E. 0
Correct Answer : C
21. A can complete a job in 2 days. B can complete the job in 4 days. If they work on alternate days, the job would be completed in the
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