EduSahara™ Worksheet

Question 1

1.

A man reduces his weight in the ratio 20 : 12. What is his weight now, if originally he was 78 kg ?

(i)

47

kg
(ii)

239
5

kg
(iii)

234
5

kg
(iv)

236
5

kg
(v)

244
5

kg

Question 2

2.

A certain amount has been divided into two parts in the ratio 4 : 6. If the first part is 104, find the total amount.

(i)

259
(ii)

257
(iii)

260
(iv)

261
(v)

263

Question 3

3.

A bag contains ₹266 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 3 : 7 : 9. Find the number of coins of each type

(i)

20 , 49 , 68
(ii)

19 , 54 , 63
(iii)

22 , 54 , 58
(iv)

21 , 49 , 63
(v)

23 , 44 , 63

Question 4

4.

In an examination, the ratio of passes to failures was 5 : 2.
Had 30 less appeared and 15 less passed, the ratio of passes to failures would have been 17 : 5.
How many students appeared for the examination?

(i)

135
(ii)

140
(iii)

150
(iv)

130
(v)

145

Question 5

5.

In a company, the number of engineers to managers is in the ratio 8 : 5 . After a year, when 15 engineers and 15 managers left, the ratio between engineers to managers is 5 : 3 . Find the number of engineers and managers at the beginning?

(i)

410
(ii)

390
(iii)

380
(iv)

370
(v)

400

Question 6

6.

Find the value of 'i' in the following figure

(i)

11
(ii)

10
(iii)

8
(iv)

9
(v)

7

Question 7

7.

Find the missing angle in the given quadrilateral

(i)

94°
(ii)

74°
(iii)

69°
(iv)

79°
(v)

64°

Question 8

8.

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

(i)

43
(ii)

48
(iii)

45
(iv)

44
(v)

46

Question 9

9.

The work done by (6x) men in (2) days and work done by (5x + 3) men in (x + 3) days is in the ratio of 15 : 56 . Find the value of x

(i)

4
(ii)

6
(iii)

8
(iv)

3
(v)

5

Question 10

10.

Two numbers are in the ratio 7 : 2 and their difference is 150. Find the numbers.

(i)

210,60
(ii)

210,62
(iii)

211,60
(iv)

209,60
(v)

210,57

Question 11

11.

The sides of a triangle are in the ratio
1
2

:

1
8

:

1
4
and its perimeter is
77 cm
.
Find the lengths of the sides of the triangle

(i)

49

cm

:

6

cm

:

22

cm
(ii)

39

cm

:

16

cm

:

22

cm
(iii)

49

cm

:

11

cm

:

17

cm
(iv)

39

cm

:

11

cm

:

27

cm
(v)

44

cm

:

11

cm

:

22

cm

Question 12

12.

An office contains 832 employees of 4 types. The managers, team leaders, developers and testers are in the ratio 4 : 7 : 2 : 3. The number of managers in the office =

(i)

210
(ii)

207
(iii)

209
(iv)

206
(v)

208

Question 13

13.

The speed of a motor boat is 20.70 m/sec and the speed of a stream is 3.99 m/sec. A & B are two location adjacent to a stream. If it takes 172.29 sec to go from point A to B and come back, What is the distance between A and B?

(i)

1715.95 m
(ii)

1718.95 m
(iii)

1716.95 m
(iv)

1714.95 m
(v)

1717.95 m

Question 14

14.

A student walks from his house to school at 2.24 kmph and arrives 4.70 min late. The next day he walks at 2.98 kmph and reaches the school 9.60 min before time. What is the distance from his house to school?

(i)

3.14 km
(ii)

2.14 km
(iii)

1.14 km
(iv)

4.14 km
(v)

0.14 km

Question 15

15.

A train crosses a telegraph post in 15.07 sec and a bridge 1851.45 m long in 63.01 sec. What is the length of the train?

(i)

580.00 m
(ii)

581.00 m
(iii)

583.00 m
(iv)

584.00 m
(v)

582.00 m

Question 16

16.

A train crosses a telegraph post in 47.34 sec and a bridge 1094.72 m long in 78.44 sec. What is the speed of the train?

(i)

35.20 m/sec
(ii)

33.20 m/sec
(iii)

34.20 m/sec
(iv)

36.20 m/sec
(v)

37.20 m/sec

Question 17

17.

A can do a work in
2

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

1

5
9

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

(i)

8

days
(ii)

4

days
(iii)

7

days
(iv)

10

days
(v)

6

days

Question 18

18.

Due to a leak at the bottom, pipe Y takes
18

hr
to fill the tank.

The leak alone can empty the full tank in
18

hr
.

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

(i)

9

hr
(ii)

10

hr
(iii)

11

hr
(iv)

6

hr
(v)

8

hr

Question 19

19.

A, B and C together can do a work in
12
13

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)

5

days
(ii)

3

days
(iii)

4

days
(iv)

6

days
(v)

2

days

Question 20

20.

A and B together can do a piece of work in
3

15
17

hr
.

They work together for
1

hr
and then A leaves.

B completes the remaining work in
8

1
6

hr
.

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

(i)

(

7

hr

,

11

hr

)
(ii)

(

6

hr

,

12

hr

)
(iii)

(

6

hr

,

11

hr

)
(iv)

(

6

hr

,

10

hr

)
(v)

(

5

hr

,

11

hr

)

Question 21

21.

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

5
23

days
.

They work together for
2

days
and then A leaves.

B completes the remaining work in
9

1
4

days
.

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

(i)

(

8

days

,

14

days

)
(ii)

(

8

days

,

15

days

)
(iii)

(

9

days

,

15

days

)
(iv)

(

8

days

,

16

days

)
(v)

(

7

days

,

15

days

)

Question 22

22.

A can do
9
10
of a work in
10

4
5

hr
.

He works for
6

hr
when B joins him.

They work together and complete the work in
2

4
19

hr
.

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

(i)

9

hr
(ii)

4

hr
(iii)

7

hr
(iv)

8

hr
(v)

6

hr

Question 23

23.

What number must be added to each term of the ratio
36

:

144
to make it
13

:

19
?

(i)

201
(ii)

198
(iii)

195
(iv)

197
(v)

199

Question 24

24.

A ratio is equal to 7 : 25. If its antecendent is 490, what is its consequent?

(i)

1748
(ii)

1751
(iii)

1750
(iv)

1753
(v)

1749

Question 25

25.

A ratio is equal to 1 : 5. If its consequent is 6650, what is its antecendent?

(i)

1330
(ii)

1331
(iii)

1333
(iv)

1327
(v)

1329

Question 26

26.

Two numbers are in the ratio 2 : 3. If 20 is added to each number, the ratio becomes 34 : 41. Find the numbers.

(i)

10

:

15
(ii)

14

:

21
(iii)

18

:

27
(iv)

16

:

24
(v)

12

:

18

Question 27

27.

The ratio of two numbers is

5

:

4

and their LCM is 240. Find the numbers.

(i)

70

:

56
(ii)

55

:

44
(iii)

50

:

40
(iv)

65

:

52
(v)

60

:

48

Question 28

28.

The ages of A and B are in the ratio 3 : 4. 9 years hence, their ages will be in the ratio 7 : 9. Find their present ages.

(i)

60

:

80
(ii)

54

:

72
(iii)

48

:

64
(iv)

51

:

68

Question 29

29.

The ages of A and B are in the ratio 10 : 7. 8 years ago, their ages were in the ratio 3 : 2. Find their present ages.

(i)

70

:

49
(ii)

80

:

56
(iii)

100

:

70
(iv)

60

:

42

Question 30

30.

The ratio of males to females in a committee of 247 members is 6 : 7. How many more ladies should be added to the committee so that the ratio of males to females is 114 : 203?

(i)

69
(ii)

68
(iii)

70
(iv)

71
(v)

72

Assignment Key