Quantitative Aptitude - Time and Work
Exam Duration: 45 Mins Total Questions : 30
A tyre has two punctures. The first puncture alone would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat?
- (a)
\(1\frac { 1 }{ 2 } \) minutes
- (b)
\(3\frac { 1 }{ 2 } \) minutes
- (c)
\(3\frac { 3 }{5 } \) minutes
- (d)
\(4\frac { 1 }{ 4 } \) minutes
A man can do a job in 15 days. His father takes 20 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?
- (a)
Less than 6 days
- (b)
Exactly 6 days
- (c)
Approximately 6.4 days
- (d)
More than 10 days
A takes twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:
- (a)
4 days
- (b)
6 days
- (c)
8 days
- (d)
12 days
A and B can do a piece of work in 5 days; B and C can do it in 7 days; A abd C can do it in 4 days. Who among these will take the least time if put to do it alone?
- (a)
A
- (b)
B
- (c)
C
- (d)
D
A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?
- (a)
8 hours
- (b)
10 hours
- (c)
12 hours
- (d)
24 hours
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 works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work is:
- (a)
4 days
- (b)
6 days
- (c)
8 days
- (d)
18 days
A is twice as good a workman as B and together they finish a piece of work in 14 days. The number of days taken by A alone to finish the work is:
- (a)
11
- (b)
21
- (c)
28
- (d)
42
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 is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?
- (a)
11 days
- (b)
13 days
- (c)
\(20\frac 3{17}\) days
- (d)
None of these
A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?
- (a)
5
- (b)
\(5\frac 1{2}\)
- (c)
6
- (d)
8
A can finish a work in 24 days, B in 9 days and C in 12 days. B adn C start the work but are forced to leave after 3 days. The remaining work was done by A in:
- (a)
5 days
- (b)
6 days
- (c)
10 days
- (d)
\(10\frac 1{2}\) days
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, B and C together can complete a peice of work in 10 days. All the three started working at it together and after 4 days A left. Then B and C together completed the work in 10 more days. A alone could completge the work in:
- (a)
15 days
- (b)
16 days
- (c)
25 days
- (d)
50 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 can complete a work seperately in 24, 36 and 48 days respectively. They started together but C left after 4 days of start and A left 3 days before the completion of the work. In how many days will the work be completed?
- (a)
15 days
- (b)
22 days
- (c)
25 days
- (d)
35 days
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 11 days, 20 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by B and C on alternate days?
- (a)
7 days
- (b)
8 days
- (c)
9 days
- (d)
10 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
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
10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and a woman?
- (a)
6
- (b)
\(6\frac 1{3}\)
- (c)
\(6\frac 2{3}\)
- (d)
\(7\frac 2{3}\)
Seven men can complete a work in 12 days. They started the work and after 5 days, two men left. In how many day will the work be completed by the remaining men?
- (a)
5
- (b)
6
- (c)
7
- (d)
8
- (e)
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
10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
- (a)
90
- (b)
125
- (c)
145
- (d)
150
- (e)
None of these
Sixteen men can complete a work in twelve dasy. Twenty-four children can complete the sme work in eighteen days. Twelve men and eight children started working and after eight days three more children joined them. How many days will they now take to complegte the remaining work?
- (a)
2 days
- (b)
4 days
- (c)
6 days
- (d)
8 days
- (e)
None of these
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.
In how many days can 10 women finish a work?
I. 10 men can complete the work in 6 days.
II. 10 men and 10 women together can complete the work in \(3\frac {3}{7}\) days.
III. If 10 men work for 3 days and there after 10 women replace them, the remaining work is completed in 4 days.
- (a)
Any two of the three
- (b)
I and II only
- (c)
II and III only
- (d)
I and III only
- (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.
In how many days can the work be completed by A, B and C together?
I. A and B together can complete the work in 6 days.
II. B and C together can complete the work in \(3\frac {3}{4}\) days.
III. A and C together can complete the work in \(3\frac {1}{3}\) days.
- (a)
Any one of the three
- (b)
I only
- (c)
II only
- (d)
III only
- (e)
Information in all the three statements is necessary to answer the question.
A is 50% as efficient as B.C does half of the work done by A and B together.If C alone does the work in 40 days,then A,B and C together can do the work in :
- (a)
\(13\frac{1}{3}\)days
- (b)
15 days
- (c)
20 days
- (d)
30 days