Showing posts with label time and work quiz. Show all posts
Showing posts with label time and work quiz. Show all posts

Wednesday, 18 January 2017





Dear Aspirants,

We have introduced  "the 12 days study plan to crack IBPS SO Exam 2017". This plan is specifically dedicated to Quantitative Aptitude & English Language and cover all types of questions asked in Bank SO exams. This will help you to prepare in a more efficient and systematic way. So, follow this post to keep updated with the plan.



Q1. 24 men working 8 hours a day can finish a work in 10 days. Find the number of men required to finish the same work in 6 days working 5 hours a day?
(a) 60 
(b) 64
(c) 80
(d) 72
(e) None of these

Q2.  A machine A can print one thousand books in 10 hours, machine B can print the same number of books in 12 hours while machine C print them in 15 hours. All the machines are started at 9 a.m. while machine A is closed at 11 a.m. and the remaining two machines complete the work. Approximately at what time will the work be finished?
(a) 11:30 a.m. 
(b) 12 noon
(c)  12:30 pm
(d) 2:20 pm 
(e) None of these

Q3. The work done by a man, a woman and a child is in the ratio of 3 : 2 : 1. There are 20 men, 30 women and 48 children in a factory. Their weekly wages amount to Rs 840, which is divided in the ratio of work done by the men, women and children. What will be the wages of 15 men, 21 women and 30 children for 2 weeks?
(a) Rs 585 
(b) Rs 292.5
(c) Rs 1170
(d) Rs 900 
(e) None of these

Q4. A work could be completed in 100 days by some workers. However, due to the absence of 10 workers, it was completed in 110 days. The original number of workers was:
(a) 100 
(b) 110
(c) 55
(d) 50
(e) None of these

Q5. A can do a work in 12 days. When he had worked for 3 days, B joined him. If they complete the work in 3 more days, in how many days can B alone finish the work?
(a) 6 days  
(b) 12 days 
(c) 4 days 
(d) 8 days 
(e) None of these

Q6. A is thrice as good a workman as B, therefore, A is able to finish a piece of work in 60 days less that B. The time (in days) in which they can do it working together is:
(a) 22 
(b) 22 1/2
(c) 23
(d) 23 1/4
(e) None of these

Q7. A and B working separately can do a piece of work in 9 and 12 days, respectively. If they work for a day alternately with A beginning, the work would be complete in:
(a) 10 2/3 days  
(b) 10 1/2 days 
(c) 10 1/4 days 
(d) 10 1/3 days 
(e) None of these

Q8. ‘A’ completes a work in 12 days. ‘B’ completes the same work in 15 days. ‘A’ started working alone and after 3 days B joined him. How many days will they now take together to complete the remaining work?
(a) 5
(b) 8
(c) 6
(d) 4
(e) None of these

Q9. The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day 9 men can complete a work in 6 days then in how many days can 12 men, 12 women and 12 boys together finish the same work working 8 hours per day?
(a) 1(1/3) days
(b) 3(2/3) days
(c) 3 days
(d) 1(1/2) days
(e) None of these
            
Q10. A daily wage earner gets a daily wage at the rate of Rs. 150 per day subject to the condition that he will have to pay a penalty at the rate of Rs. 25 per day for the days he is absent. At the end of 60 days, he receives an amount of Rs. 7,600. The number of days A worked is:
(a) 54 days
(b) 52 days
(c) 51 days
(d) 48 days
(e) None of these

Q11. A and B together can complete a task in 20 days. B and C together can complete the same task in 30 days. A and C together can complete the same task in 40 days. What is the ratio of the number of days taken by A when completing the same task alone to the number of days taken by C when completing the same task alone?
(a) 2:5
(b) 2:7
(c) 3:7
(d) 1:5
(e) 3:5

Q12. A cistern can be filled with water by a pipe in 5 hours and it can be emptied by a second pipe in 4 hours. If both the pipes are opened when the cistern is full, the time in which it will be emptied is:
(a) 9 hours
(b) 18 hours
(c) 20 hours
(d) 20(1/2) hours
(e) None of these

Q13. Two pipes A and B can separately fill a cistern in 60 minutes and 75 minute respectively. There is a third pipe at the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time can the third pipe alone empty the cistern?
(a) 110 minutes
(b) 100 minutes
(c) 120 minutes
(d) 90 minutes
(e) None of these

Q14. A water tank has three taps A, B and C. Tap A, when opened, can fill the water tank alone in 4 hours. Tap B, when opened, can fill the water tank alone in 6 hours, Tap C, when opened, can empty the water tank alone in 3 hours. If tap A, B and C are opened simultaneously, how long will it take to fill the tank completely?
(a) 10 hours
(b) 8 hours
(c) 18 hours
(d) 12 hours
(e) None of these

Q15. A cistern has 3 pipes A, B and C. A and B can fill it in 3 and 4 hours respectively, and C can empty it in 1 hour. If the pipes are opened at 3 pm, 4 pm and 5 pm respectively on the same day, the cistern will be empty at:
(a) 7.12 pm
(b) 5 pm
(c) 11.45 am
(d) 12 pm
(e) None of these



ANSWERS :




















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Tuesday, 1 November 2016





1. A can complete a piece of work in 4 days. B takes double the time taken by A, C takes double that of B, and D takes double that of C to complete the same task. They are paired in groups of two each. One pair takes two-thirds the time needed by the second pair to complete the work. Which is the first pair?

(a) A and B
(b) A and C
(c) B and C
(d) A and D
(e) C and D

Sol. Work done in one day by A, B and C are 1/4,1/8,1/16 and 1/32 respectively.
Using answer choices, we note that the pair of B and C does 3/16 of work in one day; the pair of A and D does 1/4+1/32=9/32 of work in one day
Hence, A and D take 32/9 days
B and C take 16/3=32/6 days
Hence, the first pair must comprise of A and D.

2. R finishes a work in 7 days. P finishes the same job in 8 days and Q in 6 days. They take turns to finish the work. R worked on the first day, P on the second day and Q on the third and then again R and so on. Who was working on the last day when work got finished?

(a) R
(b) P
(c) Q
(d) P and Q
(e) Cannot be determined

Sol. Three day’s work = 1/7+1/8+1/6=73/168
Six day’s work = 73/84
Seventh day work = 1/7, done by R
Since 73/84+1/7=85/84 > 1, therefore, R was working on the last day.

3. Construction of a road was entrusted to a civil engineer. He has to finish the work in 124 days for which he employed 120 workers. Two-third of the work was completed in 64 days. How many workers can be reduced now without affecting the completion of the work on time?

(a) 56
(b) 64
(c) 80
(d) 24
(e) None of these

Sol. 2/3rd of the work was completed in 64 days by 120 workers.
1/3rd of the work was completed in 32 days by 120 workers.
Also 1/3rd of the work is to be completed in 60 days by (120 – x) workers, where x is the number of men reduced in order to finish the work on schedule.
So, (120 – x) × 60 = 120 ⇒ x = 56.

4. Two workers earned Rs. 225 first worked for 10 days and the second for 9 days. How much did each of them get daily if the first worker got Rs. 15 more for working 5 days than the second worker got for working 3 days?

(a) Rs. 11.70; Rs. 12.00
(b) Rs. 10.80; Rs. 13.00
(c) Rs. 11.25; Rs. 12.50
(d) Rs. 12.60; Rs. 11.00
(e) None of these

Sol. Let A got Rs. x per day and B got Rs. y per day. So, 10x + 9y = 225 and 5x = 3y + 15 ⇒ x = 10.80, y = 13.

5. Two pipes A and B can fill a tank in 20 and 30 h respectively. Both the pipes are opened to fill the tank but when the tank is 1/3 full, a leak develops in the tank. Due to this leakage one-third of the water supplied by pipes A and B goes waste. What is the total time to fill the tank if the leak if not closed ?

(a) 12 h
(b) 16 h
(c) 18 h
(d) 20 h
(e) None of these

Sol. Let us assume total work = 180 (we are not assuming it to be LCM of 20 and 30 = 60 because in that case 1/3rd of A + B will be fractional)
Time taken to fill 1/3rd of the tank = 180/ (9 + 6) = 4 h
Due to leakage, net inflow = 2/3 (9 + 6) = 10 units
Time taken to fill remaining 120 units = 12 h
So total time taken = 12 + 4 = 16 h

6. P, Q and R can do a piece of work in 16, 24 and 30 days respectively. They started the work simultaneously but P stops the work after 4 days and Q called off the work 2 days before the completion. In what time the work is finished ?

a) 100/9 days
b) 100/11 days
c) 100/7 days
d) 100/13 days
e) None of these

Sol. 4/16 + (T -2)/24 + T/30 = 1 where T is the time taken to complete the job.
       T = 100/9 days.

7. If P can do 1/3 of the work in 5 days and Q can do 1/4 of the work in 6 days, then how much money will Q get if they were paid a total of 390 rupee?

a) 120
b) 150
c) 170
d) 190
e) None of these

Sol. P can alone complete the whole  work in 15 days and Q can complete the same work alone in 24 days. So ratio of work done by them 1/15: 1/24 i.e. 8: 5
Q get = (5/13)*390 = 150.

8. A does half as much work as B in one third of the time taken by B. If together they take 20 days to finish the work then what will be the share of A if 1000 rupees is given for the whole work?

a) 400
b) 500
c) 600
d) 700
e) None of these

Sol. Let B take x days to complete the work, then A will take  = x/3 + x/3 = 2x/3 days (as half work is completed in one third of the time)
3/2x + 1/x = 1/20
X = 50. So A will complete the work in 100/3 days and B will complete the work in 50 days.
Ratio of work done by A and B – 3/100: 1/50 = 3:2
So A share = 3/5*1000 = 600.

9. A does half as much work as B does in one sixth of the time. If together they take 20 days to complete the work, then what is the time taken by A to complete the work independently.

a) 80/3 days
b) 100/3 days
c) 60/3 days
d) 140/3 days
e) None of these

Sol. Let B complete the work in X days so in one day work done by B is 1/x
as A do half work in one-sixth of the time so A will complete work in 2*x/6 = x/3 days
One day work of A and B i.e. 3/x + 1/x = 1/20. So we get x = 80
So time taken by A alone = 80/3 days.

10. A and B can do a piece of work in 20 and 25 days respectively. They began to work together but A leaves after some days and B completed the remaining work in 12 days. Number of days after which A left the job-

a) 5.7/9 days
b) 6.7/9 days
c) 7.7/9 days
d) 11.7/9 days
e) None of these

Sol. (1/20 + 1/25)*T + 12/25 = 1
We will get T = 52/9 i.e. 5.7/9 days.










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