Quantitative Aptitude - Time and Work
Exam Duration: 60 Mins Total Questions : 30
A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work?
- (a)
5 days
- (b)
6 days
- (c)
8 days
- (d)
9 days
A can finish a work in 18 days and B can do the same twork in half the time taken by A. Then, working together, what part of the same work they can finish in a day?
- (a)
\(\frac {1}{6}\)
- (b)
\(\frac {1}{9}\)
- (c)
\(\frac {2}{5}\)
- (d)
\(\frac {2}{7}\)
X can do \(\frac { 1 }{ 4 }\) of work in 10 days, Y can do 40% of the work in 40 days and Z can do \(\frac { 1 }{ 3 }\) of the work in 13 days. Who will complete the work first?
- (a)
X
- (b)
Y
- (c)
Z
- (d)
X and Z both
A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in:
- (a)
4 days
- (b)
6 days
- (c)
8 days
- (d)
12 days
A can do a certain work in the same time in which B and C together can do it If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:
- (a)
15 days
- (b)
20 days
- (c)
25 days
- (d)
30 days
A and B can do a job together in 7 days. A is \(1\frac 3{4}\) times as efficient as B. The same job can be done by A alone in:
- (a)
\(9\frac 1{3}\) days
- (b)
11 days
- (c)
\(12\frac 1{4}\) days
- (d)
\(16\frac 1{3}\) days
A does half as much work as B in three-fourth of the time. If together they take 18 days to complete the work, how much time shall B take to do it?
- (a)
30 days
- (b)
35 days
- (c)
40 days
- (d)
None of these
Two workers A and B working together completed a job in 5 days. If A worked twice as efficiently as he actually did and B worked \(\frac 1{3}\) as efficiently as he actually did, the work would have been completed in 3 days. A alone could complete the work in:
- (a)
\(5\frac 1{4}\) days
- (b)
\(6\frac 1{4}\) days
- (c)
\(7\frac 1{2}\) days
- (d)
None of these
A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is:
- (a)
\(\frac 1{4}\)
- (b)
\(\frac 1{10}\)
- (c)
\(\frac 7{15}\)
- (d)
\(\frac 8{15}\)
A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9a.m while machine P is closed at 12 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 p.m
- (d)
1 p.m
X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days. How long will they together take to complete the work?
- (a)
\(13\frac 1{3}\) days
- (b)
15 days
- (c)
20 days
- (d)
56 days
A and B together can doa piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?
- (a)
30 days
- (b)
40 days
- (c)
60 days
- (d)
70 days
A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work in 23 days. The number of days after which A left the work was:
- (a)
6
- (b)
8
- (c)
9
- (d)
12
A, B and C are employed to do a peice of work for Rs. 529. A and B together are supposed to do \(\frac {19}{23}\) of the work and B and C together \(\frac 8{23}\) of tghe work. What amount should A be paid?
- (a)
Rs. 315
- (b)
Rs. 345
- (c)
Rs. 355
- (d)
Rs. 375
Kim can do a work in 3 days while David can do the same work in 2 days. Both of them finish the work together and get Rs. 150. What is the share of Kim?
- (a)
Rs. 30
- (b)
Rs. 60
- (c)
Rs. 70
- (d)
Rs. 75
A can do a piece of work in 10 days; B in 15 days. They work for 5 days. The rest of the work was finished by C in 2 days.If they get Rs. 1500 for the whole work, the daily wages of B and C are:
- (a)
RS. 150
- (b)
Rs. 225
- (c)
Rs. 250
- (d)
Rs. 300
A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
- (a)
12 days
- (b)
15 days
- (c)
16 days
- (d)
18 days
A, B and C can do a piece of work in 20 add 15 days respectively. They worked together for 6 days, after which B was replaced by C. If the work finished in next 4 days, then the number of days in which C alone could do the work will be:
- (a)
30
- (b)
35
- (c)
40
- (d)
60
A, B and C can do a piece of work in 36, 54 and 72 days respectively. They started the work but A left 8 days before the completion of the work while B left 12 days before the completion. The number of days for which C worked is:
- (a)
4
- (b)
8
- (c)
12
- (d)
24
Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?
- (a)
3:4
- (b)
4:3
- (c)
5:3
- (d)
Data inadequate
12 men complete a work in 9 days. After they have worked for 6 days, 6 more men join them. How many days will they take to compelte the remaining work?
- (a)
2 days
- (b)
3 days
- (c)
4 days
- (d)
None of these
A man, a woman and a boy can complete a job in 3,4 and 12 days respectively. How many boys must assit 1 man and 1 woman to complete the job in \(\frac 1{4}\) of a day?
- (a)
1
- (b)
4
- (c)
19
- (d)
41
12 men can complete a piece of work in 4days, while 15 women can complete the same work in 4 days. 6 men starat workin on job and after working for 2 days, all of them stopped working. How many women should be put on the job to complete the remaining work, if it is to be completed in 3 days?
- (a)
15
- (b)
18
- (c)
22
- (d)
Data inadequate
- (e)
None of these
5 men and 2 boys working together can do four times as much work as a man and a boy. Working capacities of a women and a boy are in the ratio:
- (a)
1:2
- (b)
2:1
- (c)
1:3
- (d)
3:1
If 12 men and 16 boys can doa piece of work in 5 days; 13 men and 24 boys can do it in 4 days, then the ratio of the daily work done by a man to that of a boy is:
- (a)
2:1
- (b)
3:1
- (c)
3:2
- (d)
5:4
Each of the questions given below consists of a statement and/or a question followed by two statements labelled I and II. Read both the statements and
B alone can complete a work in 12 days. How many days will A, B and C together take to complte the work?
I. A and B together can complete the work in 3 days.
II. B and C together can complete the work in 6 days.
- (a)
if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question;
- (b)
if the data in Statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer to the question;
- (c)
if the data either in Statement I or in statement II alone sufficient to answer to the question;
- (d)
if the data either in Statement I or in statement II alone sufficient to answer to the question;
- (e)
if the data in both Statements I and II together are necessary to answer the question;
Each of the questions given below consists of a statement and/or a question followed by two statements labelled I and II. Read both the statements and
Is it cheaper to employ X to do a certain job than to employ Y?
I. X is paid 20% more per hour than Y, but Y takes 2 longer to complete the job.
II. X is paid Rs. 80 per hour.
- (a)
if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question;
- (b)
if the data in Statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer to the question;
- (c)
if the data either in Statement I or in statement II alone sufficient to answer to the question;
- (d)
if the data either in Statement I or in statement II alone sufficient to answer to the question;
- (e)
if the data in both Statements I and II together are necessary to answer the question;
Each of the questions given below consists of a question followed by three statements I, II and III. You have to study the question and the statements and decide which of the statement(s) is / are necessary to answer the question.
In how many days can the work be completed by A and B together?
I. A alone can complete the work in 8 days.
II. If A alone works for 5 days and B alone works for 6 days, the work gets completed.
III. B alone can complete the work in 16 days.
- (a)
I and II only
- (b)
II and III only
- (c)
Any two of the three
- (d)
II and either I or III
- (e)
None of these
Each of the questions given below consists of a question followed by three statements I, II and III. You have to study the question and the statements and decide which of the statement(s) is / are necessary to answer the question.
How many workers are required for completing the construction work in 10 days?
I. 6 men and 5 women can complete the work in 6 days.
II. 3 men and 4 women can complete the work in 10 days.
III. 18 men and 15 women can complete the work in 2 days.
- (a)
III only
- (b)
All I, II and III
- (c)
Any two of the three
- (d)
Any one of the three
- (e)
None of these
Each of the questions given below consists of a question followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is / are redundant and can be dispensed with while answering the given question.
8 men and 14 women are working together in a field. After working for 3 days, 5 men and 8 women leave the work. How many more days will be required to complete the work?
I. 19 men and 12 women together can complete the work in 18 days.
II. 16 men can complete two-third of the work in 16 days.
III. In a day, the work done by three men is equal to the work done by four women.
- (a)
I only
- (b)
II only
- (c)
III only
- (d)
I or II or III
- (e)
II or III only