EduSahara™ Worksheet

Question 1

1.

A man reduces his weight in the ratio 18 : 12. What is his weight now, if originally he was 82 kg ?

(i)

164
3

kg
(ii)

55

kg
(iii)

170
3

kg
(iv)

167
3

kg
(v)

166
3

kg

Question 2

2.

A certain amount has been divided into two parts in the ratio 8 : 2. If the first part is 296, find the total amount.

(i)

367
(ii)

369
(iii)

371
(iv)

370
(v)

372

Question 3

3.

A bag contains ₹1660 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 10 : 9 : 15. Find the number of coins of each type

(i)

200 , 180 , 300
(ii)

198 , 185 , 300
(iii)

199 , 180 , 305
(iv)

202 , 175 , 300
(v)

201 , 185 , 295

Question 4

4.

In an examination, the ratio of passes to failures was 3 : 1.
Had 10 less appeared and 10 less passed, the ratio of passes to failures would have been 14 : 5.
How many students appeared for the examination?

(i)

210
(ii)

205
(iii)

200
(iv)

190
(v)

195

Question 5

5.

In a company, the number of engineers to managers is in the ratio 2 : 1 . After a year, when 10 engineers and 15 managers left, the ratio between engineers to managers is 10 : 3 . Find the number of engineers and managers at the beginning?

(i)

100
(ii)

80
(iii)

90
(iv)

70
(v)

110

Question 6

6.

Find the value of 'a' in the following figure

(i)

1
(ii)

5
(iii)

4
(iv)

3
(v)

7

Question 7

7.

Find the missing angle in the given quadrilateral

(i)

104.79°
(ii)

99.79°
(iii)

129.79°
(iv)

109.79°
(v)

114.79°

Question 8

8.

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

(i)

31
(ii)

30
(iii)

29
(iv)

33
(v)

27

Question 9

9.

The work done by (8x + 1) men in (x + 2) days and work done by (2x + 1) men in (7x) days is in the ratio of 125 : 147 . Find the value of x

(i)

2
(ii)

5
(iii)

1
(iv)

4
(v)

3

Question 10

10.

Two numbers are in the ratio 8 : 3 and their difference is 120. Find the numbers.

(i)

192,75
(ii)

191,72
(iii)

192,72
(iv)

193,72
(v)

192,69

Question 11

11.

The sides of a triangle are in the ratio
1
6

:

1
4

:

1
5
and its perimeter is
740 cm
.
Find the lengths of the sides of the triangle

(i)

195

cm

:

300

cm

:

245

cm
(ii)

205

cm

:

295

cm

:

240

cm
(iii)

200

cm

:

300

cm

:

240

cm
(iv)

205

cm

:

300

cm

:

235

cm
(v)

195

cm

:

305

cm

:

240

cm

Question 12

12.

An office contains 816 employees of 4 types. The managers, team leaders, developers and testers are in the ratio 2 : 1 : 6 : 7. The number of managers in the office =

(i)

102
(ii)

101
(iii)

104
(iv)

100
(v)

103

Question 13

13.

The speed of a motor boat is 12.67 m/sec and the speed of a stream is 3.38 m/sec. A & B are two location adjacent to a stream. If it takes 553.35 sec to go from point A to B and come back, What is the distance between A and B?

(i)

3257.00 m
(ii)

3254.00 m
(iii)

3255.00 m
(iv)

3256.00 m
(v)

3258.00 m

Question 14

14.

A student walks from his house to school at 5.04 kmph and arrives 10.80 min late. The next day he walks at 14.15 kmph and reaches the school 13.40 min before time. What is the distance from his house to school?

(i)

2.16 km
(ii)

1.16 km
(iii)

4.16 km
(iv)

5.16 km
(v)

3.16 km

Question 15

15.

A train crosses a telegraph post in 15.84 sec and a bridge 577.61 m long in 31.28 sec. What is the length of the train?

(i)

593.57 m
(ii)

590.57 m
(iii)

591.57 m
(iv)

592.57 m
(v)

594.57 m

Question 16

16.

A train crosses a telegraph post in 33.30 sec and a bridge 1515.16 m long in 73.12 sec. What is the speed of the train?

(i)

36.05 m/sec
(ii)

38.05 m/sec
(iii)

37.05 m/sec
(iv)

40.05 m/sec
(v)

39.05 m/sec

Question 17

17.

A can do a work in
3

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

1

5
7

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

(i)

4

days
(ii)

7

days
(iii)

1

day
(iv)

5

days
(v)

3

days

Question 18

18.

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

2
3

hr
to fill the tank.

The leak alone can empty the full tank in
32

hr
.

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

(i)

6

hr
(ii)

10

hr
(iii)

7

hr
(iv)

8

hr
(v)

9

hr

Question 19

19.

A, B and C together can do a work in
5
6

days
.

If A and C can do the work in
2

days
and
2

days
respectively,

in how many days can B alone do the work?

(i)

8

days
(ii)

6

days
(iii)

3

days
(iv)

5

days
(v)

4

days

Question 20

20.

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

1
13

hr
.

They work together for
1

hr
and then A leaves.

B completes the remaining work in
5

2
5

hr
.

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

(i)

(

4

hr

,

8

hr

)
(ii)

(

5

hr

,

9

hr

)
(iii)

(

6

hr

,

8

hr

)
(iv)

(

5

hr

,

7

hr

)
(v)

(

5

hr

,

8

hr

)

Question 21

21.

A and B together can do a piece of work in
6

9
26

days
.

They work together for
1

day
and then A leaves.

B completes the remaining work in
12

7
11

days
.

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

(i)

(

11

days

,

14

days

)
(ii)

(

11

days

,

15

days

)
(iii)

(

11

days

,

16

days

)
(iv)

(

12

days

,

15

days

)
(v)

(

10

days

,

15

days

)

Question 22

22.

A can do
1
7
of a work in
1

2
7

hr
.

He works for
2

hr
when B joins him.

They work together and complete the work in
4

3
8

hr
.

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

(i)

15

hr
(ii)

14

hr
(iii)

13

hr
(iv)

16

hr
(v)

17

hr

Question 23

23.

What number must be added to each term of the ratio
84

:

182
to make it
20

:

27
?

(i)

195
(ii)

198
(iii)

193
(iv)

196
(v)

197

Question 24

24.

A ratio is equal to 14 : 15. If its antecendent is 1092, what is its consequent?

(i)

1171
(ii)

1169
(iii)

1168
(iv)

1170
(v)

1173

Question 25

25.

A ratio is equal to 35 : 16. If its consequent is 560, what is its antecendent?

(i)

1228
(ii)

1224
(iii)

1225
(iv)

1223
(v)

1226

Question 26

26.

Two numbers are in the ratio 4 : 14. If 14 is added to each number, the ratio becomes 37 : 112. Find the numbers.

(i)

60

:

210
(ii)

68

:

238
(iii)

52

:

182
(iv)

56

:

196
(v)

64

:

224

Question 27

27.

The ratio of two numbers is

4

:

2

and their LCM is 28. Find the numbers.

(i)

28

:

14
(ii)

32

:

16
(iii)

36

:

18
(iv)

20

:

10
(v)

24

:

12

Question 28

28.

The ages of A and B are in the ratio 10 : 7. 9 years hence, their ages will be in the ratio 11 : 8. Find their present ages.

(i)

80

:

56
(ii)

90

:

63
(iii)

110

:

77
(iv)

70

:

49

Question 29

29.

The ages of A and B are in the ratio 7 : 8. 9 years ago, their ages were in the ratio 6 : 7. Find their present ages.

(i)

56

:

64
(ii)

63

:

72
(iii)

49

:

56
(iv)

77

:

88

Question 30

30.

The ratio of males to females in a committee of 378 members is 8 : 19. How many more ladies should be added to the committee so that the ratio of males to females is 4 : 11?

(i)

43
(ii)

42
(iii)

39
(iv)

45
(v)

41

Assignment Key