EduSahara™ Worksheet

Question 1

1.

A man reduces his weight in the ratio 15 : 11. What is his weight now, if originally he was 64 kg ?

(i)

719
15

kg
(ii)

47

kg
(iii)

706
15

kg
(iv)

704
15

kg
(v)

734
15

kg

Question 2

2.

A certain amount has been divided into two parts in the ratio 7 : 3. If the first part is 189, find the total amount.

(i)

271
(ii)

270
(iii)

269
(iv)

273
(v)

267

Question 3

3.

A bag contains ₹940 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 15 : 6 : 7. Find the number of coins of each type

(i)

150 , 60 , 70
(ii)

151 , 65 , 65
(iii)

152 , 55 , 70
(iv)

149 , 60 , 75
(v)

148 , 65 , 70

Question 4

4.

In an examination, the ratio of passes to failures was 3 : 2.
Had 40 less appeared and 10 less passed, the ratio of passes to failures would have been 17 : 9.
How many students appeared for the examination?

(i)

310
(ii)

305
(iii)

300
(iv)

290
(v)

295

Question 5

5.

In a company, the number of engineers to managers is in the ratio 2 : 1 . After a year, when 15 engineers and 15 managers left, the ratio between engineers to managers is 5 : 1 . Find the number of engineers and managers at the beginning?

(i)

50
(ii)

80
(iii)

40
(iv)

60
(v)

70

Question 6

6.

Find the value of 'k' in the following figure

(i)

4
(ii)

1
(iii)

6
(iv)

5
(v)

3

Question 7

7.

Find the missing angle in the given quadrilateral

(i)

65.88°
(ii)

70.88°
(iii)

75.88°
(iv)

90.88°
(v)

60.88°

Question 8

8.

In the given figure l ∥ m. Find the value of 'r'

(i)

33
(ii)

35
(iii)

36
(iv)

37
(v)

38

Question 9

9.

The work done by (5x) men in (2x + 1) days and work done by (x + 1) men in (35x) days is in the ratio of 5 : 21 . Find the value of x

(i)

5
(ii)

1
(iii)

3
(iv)

0
(v)

2

Question 10

10.

Two numbers are in the ratio 9 : 2 and their difference is 168. Find the numbers.

(i)

217,48
(ii)

216,48
(iii)

216,46
(iv)

216,51
(v)

215,48

Question 11

11.

The sides of a triangle are in the ratio
1
8

:

1
2

:

1
6
and its perimeter is
285 cm
.
Find the lengths of the sides of the triangle

(i)

50

cm

:

175

cm

:

60

cm
(ii)

40

cm

:

180

cm

:

65

cm
(iii)

40

cm

:

185

cm

:

60

cm
(iv)

50

cm

:

180

cm

:

55

cm
(v)

45

cm

:

180

cm

:

60

cm

Question 12

12.

An office contains 507 employees of 4 types. The managers, team leaders, developers and testers are in the ratio 5 : 3 : 2 : 3. The number of managers in the office =

(i)

194
(ii)

196
(iii)

197
(iv)

195
(v)

192

Question 13

13.

The speed of a motor boat is 12.84 m/sec and the speed of a stream is 3.84 m/sec. A & B are two location adjacent to a stream. If it takes 367.62 sec to go from point A to B and come back, What is the distance between A and B?

(i)

2149.03 m
(ii)

2150.03 m
(iii)

2148.03 m
(iv)

2151.03 m
(v)

2147.03 m

Question 14

14.

A student walks from his house to school at 2.81 kmph and arrives 22.40 min late. The next day he walks at 6.34 kmph and reaches the school 8.70 min before time. What is the distance from his house to school?

(i)

4.61 km
(ii)

1.61 km
(iii)

3.61 km
(iv)

2.61 km
(v)

0.61 km

Question 15

15.

A train crosses a telegraph post in 32.20 sec and a bridge 994.14 m long in 62.18 sec. What is the length of the train?

(i)

1068.75 m
(ii)

1066.75 m
(iii)

1067.75 m
(iv)

1069.75 m
(v)

1065.75 m

Question 16

16.

A train crosses a telegraph post in 33.78 sec and a bridge 1718.37 m long in 72.71 sec. What is the speed of the train?

(i)

44.14 m/sec
(ii)

42.14 m/sec
(iii)

45.14 m/sec
(iv)

43.14 m/sec
(v)

46.14 m/sec

Question 17

17.

A can do a work in
4

days
.
With the help of B, A can do the same work in

2

6
11

days
.
In how many days can B alone do the work?

(i)

8

days
(ii)

10

days
(iii)

5

days
(iv)

6

days
(v)

7

days

Question 18

18.

Due to a leak at the bottom, pipe Y takes
10

hr
to fill the tank.

The leak alone can empty the full tank in
40

hr
.

In what time can pipe Y alone fill the tank when the leak is closed?

(i)

9

hr
(ii)

5

hr
(iii)

8

hr
(iv)

11

hr
(v)

7

hr

Question 19

19.

A, B and C together can do a work in
3
4

days
.

If A and C can do the work in
2

days
and
3

days
respectively,

in how many days can B alone do the work?

(i)

-1

days
(ii)

1

day
(iii)

4

days
(iv)

2

days
(v)

3

days

Question 20

20.

A and B together can do a piece of work in
5

11
23

hr
.

They work together for
1

hr
and then A leaves.

B completes the remaining work in
7

5
14

hr
.

In how much time can each of them do the work seperately?

(i)

(

14

hr

,

9

hr

)
(ii)

(

14

hr

,

8

hr

)
(iii)

(

13

hr

,

9

hr

)
(iv)

(

14

hr

,

10

hr

)
(v)

(

15

hr

,

9

hr

)

Question 21

21.

A and B together can do a piece of work in
4

17
22

days
.

They work together for
2

days
and then A leaves.

B completes the remaining work in
4

1
15

days
.

In how much time can each of them do the work seperately?

(i)

(

15

days

,

7

days

)
(ii)

(

15

days

,

8

days

)
(iii)

(

14

days

,

7

days

)
(iv)

(

15

days

,

6

days

)
(v)

(

16

days

,

7

days

)

Question 22

22.

A can do
11
15
of a work in
5

13
15

hr
.

He works for
4

hr
when B joins him.

They work together and complete the work in
1

7
13

hr
.

In how much time, B alone can do the work?

(i)

2

hr
(ii)

5

hr
(iii)

6

hr
(iv)

8

hr
(v)

4

hr

Question 23

23.

What number must be added to each term of the ratio
42

:

56
to make it
14

:

15
?

(i)

152
(ii)

157
(iii)

154
(iv)

153
(v)

155

Question 24

24.

A ratio is equal to 7 : 5. If its antecendent is 6650, what is its consequent?

(i)

4747
(ii)

4750
(iii)

4752
(iv)

4751
(v)

4749

Question 25

25.

A ratio is equal to 5 : 1. If its consequent is 350, what is its antecendent?

(i)

1753
(ii)

1751
(iii)

1747
(iv)

1749
(v)

1750

Question 26

26.

Two numbers are in the ratio 2 : 14. If 12 is added to each number, the ratio becomes 1 : 4. Find the numbers.

(i)

12

:

84
(ii)

14

:

98
(iii)

16

:

112
(iv)

8

:

56
(v)

10

:

70

Question 27

27.

The ratio of two numbers is

2

:

5

and their LCM is 110. Find the numbers.

(i)

18

:

45
(ii)

24

:

60
(iii)

22

:

55
(iv)

26

:

65
(v)

20

:

50

Question 28

28.

The ages of A and B are in the ratio 3 : 2. 7 years hence, their ages will be in the ratio 10 : 7. Find their present ages.

(i)

63

:

42
(ii)

69

:

46
(iii)

57

:

38
(iv)

60

:

40

Question 29

29.

The ages of A and B are in the ratio 7 : 9. 5 years ago, their ages were in the ratio 3 : 4. Find their present ages.

(i)

28

:

36
(ii)

35

:

45
(iii)

21

:

27
(iv)

49

:

63

Question 30

30.

The ratio of males to females in a committee of 121 members is 2 : 9. How many more ladies should be added to the committee so that the ratio of males to females is 22 : 163?

(i)

61
(ii)

64
(iii)

63
(iv)

66
(v)

65

Assignment Key