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Short GRE Mock test for Students
A, B, and C are assigned to complete a task. It is noted that A and B together complete 70% of the task, while B and C together complete 50%. Who among them is the most productive?
(a) A
(b) B
(c) C
(d) No comparison
(e) None of these
Option a – A
A water tank has both an inlet and an outlet pipe. The inlet alone fills the tank in 2 hours when the outlet is shut. The outlet alone empties the full tank in 6 hours when the inlet is closed. There is also a leakage that drains water at half the rate of the outlet. If only the inlet and the leakage are open, how long will it take to fill the tank?
(a) 3
(b) 4
(c) 5
(d) Not possible
(e) None of these
Option b – 4
A contractor planned to finish a job in 20 days with 5 workers working daily. The client requested an earlier completion, so the contractor decided to increase the workforce by 5 every two days. Later, the work increased by 50%, but the contractor continued the same pattern of adding 5 men every two days. How many extra days beyond the original schedule are needed now?
(a) 1
(b) 2
(c) 5
(d) Not possible
(e) None of these
Option b – 2
Pipe A can fill a tank in 4 hours, and Pipe B in 6 hours. Pipe C can empty it in 4 hours. Ram Bishan opens A and B together to fill the tank. He plans to open C when the tank is half-filled but accidentally opens it when it’s 3/4th full. What’s the difference in time (in minutes) between the two situations?
(a) 48
(b) 54
(c) 30
(d) Can’t fill
(e) None of these
Option b – 54
A completes a job in 4 hours and B in 12 hours. Starting at 6:00 a.m., A and B work alternately, one hour each. At what time will the task be completed?
(a) 12.00 hrs
(b) 13.00 hrs
(c) 11.00 hrs
(d) Can’t finish
(e) None of these
Option a – 12.00 hrs
A can complete a job in the same time as B and C together. A and B together can do it in 20 days, and C alone in 60 days. How many days would B alone need to complete the job?
(a) 20
(b) 40
(c) 50
(d) 60
(e) None of these
Option d – 60
P can complete a task in 12 days working 8 hours per day. Q can do the same job in 8 days working 10 hours daily. If both P and Q work together, each putting in 8 hours a day, on which day will the work be completed?
(a) 6th
(b) 7th
(c) 5th
(d) 8th
(e) None of these
Option a – 6th
(x – 2) workers can finish a task in x days. (x + 7) workers can finish 75% of the same task in (x – 10) days. How many days would (x + 10) workers need to complete the full work?
(a) 27
(b) 12
(c) 25
(d) 18
(e) None of these
Option b – 12
A is three times as efficient as B, while C is twice as efficient as B. What is the ratio of the time taken by A, B, and C to complete the same work individually?
(a) 2 : 6 : 3
(b) 2 : 3 : 6
(c) 1 : 2 : 3
(d) 3 : 1 : 2
(e) None of these
Option a – 2 : 6 : 3
A is 5 times as efficient as C, while the ratio of time taken by B and C is 2:3. A finishes the work 6 days faster than C. B and C work for 2 days, and then A completes the remaining work. How long did A take?
(a) 4 1/2
(b) 5
(c) 6
(d) 9 1/3
(e) None of these
Option c – 6
A completes a job in 10 days, B in 15 days. They work together for 5 days, then C finishes the rest in 2 days. If the total payment is Rs. 18,000, what is B’s daily wage?
(a) 14,000
(b) 12,000
(c) 24,000
(d) 15,000
(e) None of these
Option b – 12,000
12 men can finish a task in 8 days. 16 women can do the same in 12 days. If 8 men and 8 women work for 6 days, how many more men are needed to complete the remaining work in one day?
(a) 8
(b) 12
(c) 16
(d) 24
(e) None of these
Option b – 12
A is twice as efficient as B and completes the work 30 days earlier than B. How many days would they take to finish the job together?
(a) 9
(b) 17
(c) 14
(d) 20
(e) None of these
Option d – 20
A, B, and C can individually complete a task in 24, 30, and 40 days, respectively. They started the work together, but C left 4 days before completion. How many days did it take to complete the task?
(a) 11
(b) 12
(c) 13
(d) 14
(e) None of these
Option a – 11
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