Quantitative Aptitude - Time and work
Exam Duration: 60 Mins Total Questions : 30
A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:
- (a)
\(\frac { 1 }{ 24 } day\)
- (b)
\(\frac {7 }{ 24 } day\)
- (c)
\(3\frac { 3 }{ 7 } day\)
- (d)
4 days
A man can do a peice of work in 5 days, but with the help of his son, he can do it in 3 days. In what time can the can do it alone?
- (a)
\(6\frac { 1 }{ 2 } \) days
- (b)
7 days
- (c)
\(7\frac { 1 }{ 2 } \) days
- (d)
8 days
Two workers A and B are engaged to do a work. A working alone takes 8 hours more to complete the job then if both worked together. If B worked alone, he would need \(4\frac {1}{2}\) hours more to compete the job than they both working together. What time would they take to do the work together?
- (a)
4 hours
- (b)
5 hours
- (c)
6 hours
- (d)
7 hours
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 is thrice as good a workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:
- (a)
20 days
- (b)
\(22\frac 1{2}\) days
- (c)
25 days
- (d)
30 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
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
A and B can together finish a work in 30 days. They worked together for 20 days and thern B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the job?
- (a)
40
- (b)
50
- (c)
54
- (d)
60
A and B togethr can do a peice of work in 12 days, which B and C together can do in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes it in 13 days. In how many days C alone will do the work?
- (a)
16
- (b)
24
- (c)
36
- (d)
48
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, 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
A alone can do a piece fo work in 6 days and B alone in 8 days. A and B undertook to do it for RS. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
- (a)
RS. 375
- (b)
Rs. 400
- (c)
Rs. 600
- (d)
Rs. 800
A alone can complete a work in 16 days and B alone in 12 days. Starting with A, they work on alternate days. The total work will be completed in:
- (a)
12 days
- (b)
13 days
- (c)
\(13\frac 5{7}\) days
- (d)
\(13\frac 3{4}\) days
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 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 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
Twelve children take sixteen days to complete a work which can be completed by eight adults in twelve days. Sixteen adults started working and after three days ten adults left and four children joined them. How many days will they take to complete the remaining work?
- (a)
3
- (b)
4
- (c)
6
- (d)
8
- (e)
None of these
10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
- (a)
3
- (b)
5
- (c)
7
- (d)
Cannot be determined
- (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
4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
- (a)
35
- (b)
40
- (c)
45
- (d)
50
One man, 3 women and 4 boys can do a piece of work in 96 hours, 2 men and 8 boys can do it in 80 hours, 2 men and 3 women can do it in 120 hours. 5 men and 12 boys can do it in:
- (a)
\(39\frac 1{11}\) hours
- (b)
\(42\frac 7{11}\) hours
- (c)
\(43\frac 7{11}\) hours
- (d)
44 hours
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
How long will Machine Y, working alone, take to produce x candles?
I. Machine X produces x candles in 5 minutes.
II. Machine X and Machine Y lworking at the same time produce x candles in 2 minutes.
- (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
A and B can do a work in 12 days,B and C in 15 days,C and A in 20 days.If A,B and C work together,they will complete the work in :
- (a)
5 days
- (b)
\(7\frac{5}{6}\)days
- (c)
10 days
- (d)
\(15\frac{2}{3}\)days
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