RRB Mathematics - Time and Work, Simple Interest
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 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
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
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
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 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 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 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 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, 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, 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 sum of money is sufficient to pay A's wages for 21 days and B's wages for 28 days. The same money is sufficient to pay the wages of both for:
- (a)
12 days
- (b)
\(12\frac 1{4}\) days
- (c)
14 days
- (d)
\(24\frac 1{2}\) 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 and B together can complete a work in 12 days. A alone can comfplete in 20 days. If B doefs the wrok only for half a day daily, then in how many days A and B together will complete the work?
- (a)
10 days
- (b)
11 days
- (c)
15 days
- (d)
20 days
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
Three men, four women and six children can complete a work in seven days. A woman does double the work a man does ana a child does half the work a man does. How many women alone can complete this work in 7 days?
- (a)
7
- (b)
8
- (c)
12
- (d)
Cannot be determined
- (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
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
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
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
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.
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.
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