Quantitative Aptitude - Time and Work
Exam Duration: 45 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 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, 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 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 can lay railwfay track betwenn two given station in 16 days and B can do the same job in 12 days. With the help of C, they did the job in 4 days only. Then, C alone can do the job in:
- (a)
\(9\frac { 1 }{5 }\) days
- (b)
\(9\frac {2 }{5 }\)days
- (c)
\(9\frac { 3}{ 5 }\) days
- (d)
10 days
P, Q and R are three typists who working simultaneously can type 216 pages in 4 hours. IN one hour, R can type as many pages more than Q asQ can type more than P. During a period of five hours, R can type as many pages as P can during seven hours. How many pages does each of them type per hour?
- (a)
14, 17, 20
- (b)
15, 17, 22
- (c)
15, 18, 21
- (d)
16, 18, 22
Ronald and Elan are working on an assignment. Ronald takes 6 hours to type 32 pages on a computer, while Elan takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
- (a)
7 hours 30 minutes
- (b)
8 hours
- (c)
8 hours 15 minutes
- (d)
8 hours 25 minutes
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
P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?
- (a)
\(5\frac 5{11}\)
- (b)
\(5\frac {6}{11}\)
- (c)
\(6\frac 5{11}\)
- (d)
\(6\frac 6{11}\)
A and B can do a piece of work in 72 days; lB and C can do it in 120 days; A and C can do it in 90 days. In what time can A alone do it?
- (a)
80 days
- (b)
100 days
- (c)
120 days
- (d)
150 days
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 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 and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in:
- (a)
8 days
- (b)
10 days
- (c)
12 days
- (d)
15 days
X and Y can do a peice of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?
- (a)
6 days
- (b)
10 days
- (c)
15 days
- (d)
20 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 does \(\frac 4{5}\) of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?
- (a)
23 days
- (b)
37 days
- (c)
\(37\frac 1{2}\) days
- (d)
40 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 can do a piece of work in 14 days which B can do in 21 days. They begin together but 3 days before the completion of the work, A leaves off. The total number of days to complete the work is:
- (a)
\(6\frac 3{5}\)
- (b)
\(8\frac 1{2}\)
- (c)
\(10\frac 1{5}\)
- (d)
\(13\frac 1{2}\)
If A can do \(\frac 1{4}\) of a work in 3 days and B can do \(\frac 1{6}\) of the same work in 4 days, how much will A get if both work together and are paid Rs. 180 in all?
- (a)
Rs. 36
- (b)
Rs. 60
- (c)
Rs. 108
- (d)
Rs. 120
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, 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
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
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 statement and/or a question followed by two statements labelled I and II. Read both the statements and
A and B together can complete a task in 7 days. B alone can do it in 20 days. What part of the work was carried our by A?
I. A completed the job alone after A and B worked together for 5 days.
II. Part of the work done by A could have been done by B and C together 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 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 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