QBM056
Q1. If x men working x hours per day can do x units of work in x days, then y men working y hours per day would be able to complete in y days:
(a) x2/y3 units of work
(b) x3/y2 units of work
(c) y2/x3 units of work
(d) y3/x2units of work
Q2. A man can do a piece of work in 60 hours. If he takes his son with him and both work together then the work is finished in 40 hours. How long will the son take to do the same job, if he worked alone on the job?
(a)20 hours
(b)120 hours
(c)24 hours
(d)None of these
Q3. If 5 men working 6 hours a day can reap a field in 20 days, in how many days will 15 men reap the field, working 8 hours a day?
(a)5 days
(b)6 days
(c)7-1/2 days
(d)9 days
Q4. A completes 2/3 of a certain job in 6 days. B can complete 1/3 of the same job in 8 days and C can complete 3/4 of the work in 12 days. All of them work together for 4 days and then A and C quit. How long will it take for B to complete the remaining work alone ?
Q5. Raju is twice as good as vijay. Together, they finish the work in 14 days. In how many days can Vijay alone do the same work?
Q6. Pipe A fills a tank of 700 litres capacity at the rate of 40 litres a minute. Another pipe B fills the same tank at the rate of 30 litres a minute. A pipe at the bottom of the tank drains the tank at the rate of 20 litres a minute. If pipe A is kept open for a minute and then closed and pipe B is kept open for a minute and then closed and then pipe C is kept open for a minute and then closed and the cycle repeated, how long will it take for the empty tank to overflow?
(a)42 minutes
(b)14 minutes
(c)39 minutes
(d)None of these
Q7. In a hospital there is a consumption of 1350 litres of milk for 70 patients for 30 days. How many patients will consume 1710 litres of milk in 28 days?
(a)59
(b)85
(c)95
(d)105
Q8.If A,B and C can finish a job in 10 days and then D joins them and he can finish the job in 15 days how long will it take them to finish 4 times the same amount of work.
Q9. If the rent for grazing 40 cows for 20 days is Rs 370, how many cows can graze for 30 days on Rs 111?
(a)6
(b)8
(c)5
(d)12
Q10. If A,B and C can finish a job in 10 days and then D joins them and he can finish the job in 15 days how long will it take them to finish 4 times the same amount of work.
Q11. 15 men could finish a piece of work in 210 days. But at the end of 100 days, 15 additional men are employed. In how many more days will the work be complete?
Q12.One machine can complete a job in 10 minutes. If this machine and an older machine do the same job together, the job can be completed in 6 minutes. How long would it take the older machine to do the job?
Q13. A can do a piece of work in 6 days, B in 8 days and C in 12 days , B & C together do the work for 2 days and then C is replaced by A. Find the total time required to finish the work?
Q14.A software company is getting ready to release a new product. A QA Director is notifired the following. A Junior Vertification Engineer takes one hour longer to fix a bug (in the code) than ittakes a Senior Engineer. If they can fix the bug in 5 hours working together, how long would it take each Engineer to finish the task by themselves?
Q15. If 4 examiners can examine a certain number of answer books in 8 days by working 5 hours a day; for how many hours a day would 2 examiners have to work in order to examine twice the number of answer books in 20 days?
(a)6 hours
(b)8 hours
(c)9 hours
(d)7-1/2 hours
Q16.A can do a work in 10 days and B can do the same work inb 20 days. They work together for 5 days and then A goes away. In how many more days will B finish the work?
END
asnwer Q 16
Q16.A can do a work in 10 days and B can do the same work inb 20 days. They work together for 5 days and then A goes away. In how many more days will B finish the work?
ANS: A : 10 =>Efficiency/Day = 1/10
B: 20 =>Efficiency/Day = 1/20
Together : Efficiency/Day = 1/10 + 1/20 = 3/20
Work done in 5 days = 3/20 x 5 = 3/4
Work Left = 1 - 3/4 = 1/4
Time taken by B to complete the remaining job = (1/4)/(1/20) = 5 Days
Q7. In a hospital there is a
Q7. In a hospital there is a consumption of 1350 litres of milk for 70 patients for 30 days. How many patients will consume 1710 litres of milk in 28 days?
(a)59
(b)85
(c)95
(d)105
ANS:
1350 / (70*30) = 1710/(n*28)
=>n = (1710*70*30)/(1350*28) = 95
Answer to Question No.15
Pradeep
Persons Hrs Work
4 5 x 8=40 hrs 1
so 2 persons will consume 40 x (4/2) = 80hrs for 1 work.
Now, 2 persons will need 2 x 80 hrs = 160 hrs for 2 work
so number of work hrs. required for 20 days are 160 hrs.
so each day they ll work for 160/20= 8 hrs. per day
so the answer is 8 hrs per day
answer to question 14
Pradeep
Q14.A software company is getting ready to release a new product. A QA Director is notifired the following. A Junior Vertification Engineer takes one hour longer to fix a bug (in the code) than ittakes a Senior Engineer. If they can fix the bug in 5 hours working together, how long would it take each Engineer to finish the task by themselves?
Let verification engg. takes V hrs to finish the work
and let senior engg. takes S hrs to finish the work
then V = S+1
so we have,
1/V + 1/S = 1/5,
1/(S+1) + 1/S = 1/5
this gives,
S2 - 9S - 5 = 0
and thus S = 9.524 hrs and V is therefore 10.524 hrs.
Solution to Question 13
Pradeep
Q13. A can do a piece of work in 6 days, B in 8 days and C in 12 days , B & C together do the work for 2 days and then C is replaced by A. Find the total time required to finish the work?
A does 1/ 6 of the work per day,
B does 1/ 8 of the work per day,
C does 1/ 12 of the work per day,
So, B& C together have efficiency of 1/8 +1/12 = 5/24 of the work per day, so in two days they did 5/12 of the work.
Remaing work = 1- 5/12= 7/12
Efficiency of A& B together = 1/6 + 1/8 = 7/24
So no of days required for remaining work to be finished = (7/12)/ (7/24) =2 days
soln to question 1:
X men X hours/day X days X units
X men X*X hours/day 1 day X units
1 man X*X hours/day 1 day 1 unit
1 man Y*Y hours/day 1 day (Y^2)/(X^2) units
Y men Y hours/day Y days (Y^3)/(X^2) units
ANS:d
answer to ques no 1 to 5
1. d
2. c
3. a
4. 10/3
5. 42
pls correct me if i am wrong
soln to Q.11
if 15 men work 1 hr/day then total man hours required= 15x1x210=3150 (total work)
.
. . in 100 days 15x1x100=1500 work is finished
hence left over work=3150-1500=1650
now total men= 30 therefore total work done in a day= 30x1=30
hence if no of days required ='n'
then 30x1xn=1650
=> n=51
hence ans is 51
Q8.If A,B and C can finish a
Q8.If A,B and C can finish a job in 10 days and then D joins them and he can finish the job in 15 days how long will it take them to finish 4 times the same amount of work.
Sol: A,B,C can do a work in 10 days.
So in one day they can do(1/10) of the total work.
According to question if D can do the work in 15 days.
So in one day D can do1/15 of the total work.
Let the time taken to complete 4 times the work be "a" days.
It means,a(1/10+1/15)=4
Solving,a=24 days.
Ans:24 days
Q9. If the rent for grazing
Q9. If the rent for grazing 40 cows for 20 days is Rs 370, how many cows can graze for 30 days on Rs 111?
(a)6
(b)8
(c)5
(d)12
Sol:Let the number of cows be "a".
According to question,
(40x20)/370=(30xa)/111
Solving, a=8 cows.
Ans:(b) 8.
Q12.One machine can complete
Q12.One machine can complete a job in 10 minutes. If this machine and an older machine do the same job together, the job can be completed in 6 minutes. How long would it take the older machine to do the job?
Sol: Let the older nachine can do it alone in "a" minutes.
So,6(1/10+1/a)=1
Solving, a=15 minutes.
Ans: 15 minutes.
Q12.One machine can complete
Q12.One machine can complete a job in 10 minutes. If this machine and an older machine do the same job together, the job can be completed in 6 minutes. How long would it take the older machine to do the job?
Sol: Let the older nachine can do it alone in "a" minutes.
So,6(1/10+1/a)=1
Solving, a=15 minutes.
Ans: 15 minutes.
The answer for question no 2
The answer for question no 2 is b not c
The answer for question no 2
The answer for question no 2 is b not c
Wrong answer
the correct answer is - 55 days