EduSahara™ Worksheet

Question 1

1.

A man reduces his weight in the ratio 16 : 12. What is his weight now, if originally he was 54 kg ?

(i)

85
2

kg
(ii)

83
2

kg
(iii)

41

kg
(iv)

81
2

kg

Question 2

2.

A certain amount has been divided into two parts in the ratio 8 : 7. If the first part is 248, find the total amount.

(i)

462
(ii)

466
(iii)

467
(iv)

464
(v)

465

Question 3

3.

A bag contains ₹375 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 10 : 8 : 9. Find the number of coins of each type

(i)

48 , 45 , 45
(ii)

52 , 35 , 45
(iii)

50 , 40 , 45
(iv)

49 , 40 , 50
(v)

51 , 45 , 40

Question 4

4.

In an examination, the ratio of passes to failures was 2 : 1.
Had 50 less appeared and 10 less passed, the ratio of passes to failures would have been 15 : 4.
How many students appeared for the examination?

(i)

235
(ii)

240
(iii)

245
(iv)

230
(v)

250

Question 5

5.

In a company, the number of engineers to managers is in the ratio 5 : 1 . After a year, when 10 engineers and 20 managers left, the ratio between engineers to managers is 13 : 2 . Find the number of engineers and managers at the beginning?

(i)

460
(ii)

470
(iii)

490
(iv)

500
(v)

480

Question 6

6.

Find the value of 'f' in the following figure

(i)

2
(ii)

3
(iii)

7
(iv)

5
(v)

4

Question 7

7.

Find the missing angle in the given quadrilateral

(i)

64.31°
(ii)

89.31°
(iii)

59.31°
(iv)

74.31°
(v)

69.31°

Question 8

8.

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

(i)

31
(ii)

29
(iii)

28
(iv)

30
(v)

32

Question 9

9.

The work done by (28x + 1) men in (2) days and work done by (2x + 1) men in (13x) days is in the ratio of 170 : 273 . Find the value of x

(i)

2
(ii)

6
(iii)

1
(iv)

4
(v)

3

Question 10

10.

Two numbers are in the ratio 2 : 1 and their difference is 26. Find the numbers.

(i)

53,26
(ii)

52,23
(iii)

52,29
(iv)

51,26
(v)

52,26

Question 11

11.

The sides of a triangle are in the ratio
1
8

:

1
7

:

1
5
and its perimeter is
2489 cm
.
Find the lengths of the sides of the triangle

(i)

670

cm

:

755

cm

:

1064

cm
(ii)

670

cm

:

760

cm

:

1059

cm
(iii)

665

cm

:

760

cm

:

1064

cm
(iv)

660

cm

:

760

cm

:

1069

cm
(v)

660

cm

:

765

cm

:

1064

cm

Question 12

12.

An office contains 574 employees of 4 types. The managers, team leaders, developers and testers are in the ratio 1 : 4 : 5 : 4. The number of managers in the office =

(i)

41
(ii)

40
(iii)

44
(iv)

39
(v)

42

Question 13

13.

The speed of a motor boat is 19.18 m/sec and the speed of a stream is 7.80 m/sec. A & B are two location adjacent to a stream. If it takes 351.45 sec to go from point A to B and come back, What is the distance between A and B?

(i)

2815.00 m
(ii)

2812.00 m
(iii)

2811.00 m
(iv)

2814.00 m
(v)

2813.00 m

Question 14

14.

A student walks from his house to school at 3.87 kmph and arrives 20.30 min late. The next day he walks at 10.69 kmph and reaches the school 9.70 min before time. What is the distance from his house to school?

(i)

2.03 km
(ii)

5.03 km
(iii)

1.03 km
(iv)

3.03 km
(v)

4.03 km

Question 15

15.

A train crosses a telegraph post in 21.57 sec and a bridge 1093.03 m long in 50.64 sec. What is the length of the train?

(i)

813.03 m
(ii)

810.03 m
(iii)

809.03 m
(iv)

812.03 m
(v)

811.03 m

Question 16

16.

A train crosses a telegraph post in 18.86 sec and a bridge 1624.03 m long in 58.48 sec. What is the speed of the train?

(i)

39.99 m/sec
(ii)

40.99 m/sec
(iii)

42.99 m/sec
(iv)

41.99 m/sec
(v)

38.99 m/sec

Question 17

17.

A can do a work in
8

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

4

4
17

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

(i)

9

days
(ii)

11

days
(iii)

7

days
(iv)

10

days
(v)

8

days

Question 18

18.

Due to a leak at the bottom, pipe Y takes
4

hr
to fill the tank.

The leak alone can empty the full tank in
4

hr
.

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

(i)

-1

hr
(ii)

2

hr
(iii)

3

hr
(iv)

1

hr
(v)

4

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
2

days
respectively,

in how many days can B alone do the work?

(i)

4

days
(ii)

0

days
(iii)

6

days
(iv)

2

days
(v)

3

days

Question 20

20.

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

27
28

hr
.

They work together for
2

hr
and then A leaves.

B completes the remaining work in
10

9
13

hr
.

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

(i)

(

12

hr

,

15

hr

)
(ii)

(

14

hr

,

15

hr

)
(iii)

(

13

hr

,

16

hr

)
(iv)

(

13

hr

,

14

hr

)
(v)

(

13

hr

,

15

hr

)

Question 21

21.

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

6
25

days
.

They work together for
1

day
and then A leaves.

B completes the remaining work in
10

1
13

days
.

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

(i)

(

14

days

,

12

days

)
(ii)

(

12

days

,

12

days

)
(iii)

(

13

days

,

12

days

)
(iv)

(

13

days

,

13

days

)
(v)

(

13

days

,

11

days

)

Question 22

22.

A can do
2
14
of a work in
2

hr
.

He works for
7

hr
when B joins him.

They work together and complete the work in
3

18
29

hr
.

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

(i)

18

hr
(ii)

14

hr
(iii)

16

hr
(iv)

15

hr
(v)

13

hr

Question 23

23.

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

:

72
to make it
6

:

7
?

(i)

179
(ii)

177
(iii)

183
(iv)

181
(v)

180

Question 24

24.

A ratio is equal to 25 : 12. If its antecendent is 875, what is its consequent?

(i)

419
(ii)

421
(iii)

420
(iv)

417
(v)

423

Question 25

25.

A ratio is equal to 1 : 3. If its consequent is 13860, what is its antecendent?

(i)

4619
(ii)

4620
(iii)

4621
(iv)

4618
(v)

4622

Question 26

26.

Two numbers are in the ratio 1 : 6. If 12 is added to each number, the ratio becomes 19 : 54. Find the numbers.

(i)

6

:

36
(ii)

5

:

30
(iii)

7

:

42
(iv)

9

:

54
(v)

8

:

48

Question 27

27.

The ratio of two numbers is

2

:

4

and their LCM is 40. Find the numbers.

(i)

18

:

36
(ii)

16

:

32
(iii)

20

:

40
(iv)

24

:

48
(v)

22

:

44

Question 28

28.

The ages of A and B are in the ratio 6 : 7. 5 years hence, their ages will be in the ratio 7 : 8. Find their present ages.

(i)

30

:

35
(ii)

18

:

21
(iii)

42

:

49
(iv)

24

:

28

Question 29

29.

The ages of A and B are in the ratio 5 : 6. 10 years ago, their ages were in the ratio 4 : 5. Find their present ages.

(i)

40

:

48
(ii)

60

:

72
(iii)

50

:

60
(iv)

45

:

54

Question 30

30.

The ratio of males to females in a committee of 363 members is 17 : 16. How many more ladies should be added to the committee so that the ratio of males to females is 187 : 256?

(i)

77
(ii)

81
(iii)

79
(iv)

80
(v)

83

Assignment Key