LOD 1
Q1. Mr.Amit, Mr.Balu and Mr.Chand take 20 days, 30 days and 40 days respectively to complete a piece of work. If they work together, they complete another piece of work in 57/13 days. In how many days can B alone complete the second piece of work?
a) 20 days b) 13 days c) 15 days d) 24 days
C
Q2. Twenty women can do a piece of work in 50 days. After how many days from the start of the work should 5 more women join them so that the work is done in 45 days?
a) 20 b) 25 c) 30 d) 18
B
Q3. Four tanks (P, Q, R and S) in a chemical plant, each contain 3600 liters of a chemical. The chemical is pumped from one tank to another in the manner below.
From P to Q @ 30 liters/minute, From R to P @ 100 liters/minute
From P to S @ 30 liters/minute, From R to S @ 60 liters/minute
From Q to R @ 120 liters/minute, From S to Q @ 135 liters/minute
Which tank gets emptied first and how many minutes would it take to empty it?
a) P, 72 b) Q, 80 c) R, 90 d) S, 80
D
Q4. A, B and C started work together and after completing one fifth of the work C left, A and B worked for 30 more days. C then took over from A and B and completed the remaining work in 12 days. If C alone takes 40 days to complete the entire work, in how many days can B alone complete the entire work given that A’s rate of doing work is twice that of B?
a) 90 b) 120 c) 180 d) 140
C
Q5. Two taps A and B can fill a tank in 20 minutes and 25 minutes respectively. The two taps are opened together. After how much time should tap B be closed so that the tank is full in exactly 14 minutes?
a) 7 minutes b) 6(½) minutes c) 7(1/2) minutes d) 6 minutes
A
Q6. Twenty cows and forty sheep can be kept for 10 days for र480. What would be the cost of keeping 40 cows and 50 sheep for 12 days, if the daily cost of keeping 5 sheep is the same as the daily cost of keeping 2 cows?
a) र880 b) र900 c) र960 d) र920
B
LOD 2
Q1. Mahesh takes twice the time taken by Ramesh to complete a job. Ramesh takes twice the time taken by Suresh to complete the job. Suresh takes twice the time taken by Naresh to complete the job. Two of the four when working together take 50% or less of the time taken by the other two together to complete the job. Find these two.
a) Mahesh, Naresh b) Naresh, Ramesh c) Naresh, Suresh d) CND
D
Q2. Alok takes m times the time taken by Bola and Chetan to complete a job. Bola takes m times the time taken by Alok and Chetan to complete the job. Chetan takes m times the time taken by Alok and Bola to complete the job. Find m.
a) 1 b) 2 c) 3 d) 4
B
Q3. A’s rate of doing work is 20% more than that of B and B’s rate of doing work is 20% more than that of C. If C alone takes 36(2/5) days to complete a work, in how many days will A, B and C together complete the work?
a) 12 days b) 14 days c) 20 days d) 10 days
D
Q4. A, B and C started work together and after completing one fifth of the work C left, A and B worked for 30 more days. C then took over from A and B and completed the remaining work in 12 days. If C alone takes 40 days to complete the entire work, in how many days can B alone complete the entire work given that A’s rate of doing work is twice that of B?
a) 90 b) 120 c) 180 d) 140
C
Q4. A, B and C started work together and after completing one fifth of the work C left, A and B worked for 30 more days. C then took over from A and B and completed the remaining work in 12 days. If C alone takes 40 days to complete the entire work, in how many days can B alone complete the entire work given that A’s rate of doing work is twice that of B?
a) 90 b) 120 c) 180 d) 140
C
Q5. Two taps A and B can fill a tank in 20 minutes and 25 minutes respectively. The two taps are opened together. After how much time should tap B be closed so that the tank is full in exactly 14 minutes?
a) 7 minutes b) 6(½) minutes c) 7(1/2) minutes d) 6 minutes
C
Q6. Twenty cows and forty sheep can be kept for 10 days for र480. What would be the cost of keeping 40 cows and 50 sheep for 12 days, if the daily cost of keeping 5 sheep is the same as the daily cost of keeping 2 cows?
a) र880 b) र900 c) र960 d) र920
C
LOD 3
Q1. The rates at which Alok and Bhaskar work are in the ratio 5 : 4. They work on alternate days to complete a job. Bhaskar started the job and he worked on the last day. The job was completed in 1 day more than the time that Alok alone would take to complete it. Find the time taken (in days) by them working together to complete the job.
a) 4(1/9) b) 3(⅓) c) 4(⅓) d) 4(4/9)
D
Q2. Pipes X and Y are fitted to a tank. Both are filling pipes. X is opened for half the time taken by Y to fill the tank. X is now closed and Y is opened for half the time taken by X to fill the tank. If the tank does not overflow, which of the following can be concluded?
a) X fills less than half of the tank. b) Y fills less than half of the tank. c) Either (A) or (B) d) None of these
D
Q3. M workers started a job. The mth worker can do m units/day. After the mth day of the job, for all m where 1 m M, the mth worker left. The job was completed when the Mth worker left. The job to be done was of magnitude 204 units. Find M.
a) 8 b) 9 c) 10 d) 7
A
Q4. Of three taps X, Y and Z, Y takes 2 times as much time as X and Z together, while X takes 20 minutes more than Y and Z together to fill a tank. If the three taps together fill the tank in 24 minutes, then how long does X take to fill the tank individually?
a) 30 minutes b) 60 minutes c) 90 minutes d) 120 minutes
B
Q5. A contractor is asked to do the work of laying cables that requires 40 men to work for 60 days. They start the work 20 days later, the deadline was advanced by 20 days. How many more men would the contractor have to hire to complete the work on schedule?
a) 40 b) 30 c) 20 d) 50
A
Q6. In a power house 50 generators need to work for 18 hours a day for 20 days to fulfill the power requirement for a particular project. But, they are used only for 10 hours a day. After 10 days, 20 generators develop some snags and are not used. Now the other generators work for 18 hours a day. How many more days are needed to generate the total power required?
a) 14(2/7) b) 24(4/9) c) 24(2/27) d) 34(2/27)
A