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RRB Mathematics - Time and Work, Simple Interest Model Question Paper

Mathematics - Time and Work, Simple Interest

Exam Duration: 45 Mins Total Questions : 30

1 )

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

2 )

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

3 )

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

4 )

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

5 )

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

6 )

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

7 )

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

8 )

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

9 )

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

10 )

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)
\(\frac 8{15}\)

11 )

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

12 )

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

13 )

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

14 )

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

15 )

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

16 )

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

17 )

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

18 )

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

19 )

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

20 )

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

21 )

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

22 )

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

23 )

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

24 )

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

25 )

Twenty-four men can complete a work in sixteen days. Thrity-two women can complete the same work in twenty-four days. Sixteen men and sixteen women started working and worked for twelve deays. How many more men are to be added to complete the remaining work in 2 days?

(a)
16
(b)
24
(c)
36
(d)
48
(e)
None of these

26 )

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

27 )

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;

28 )

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;

29 )

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

30 )

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.