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Variation and direct and invese proportion

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

If d varies directly as t , and if d= 4 when t =9 ; find d when t = 21.

a)

34/8

b)

28/8

c)

72/8

d)

8/28

2.

The second class railway fare for 240 km of journey is 15 .00 rupees .what would be the fare for a journey of 139.2 km ? Assume that the fare varies directly as the length of the journey.

a)

8.70 rupees

b)

70.8 rupees

c)

31.6 rupees

d)

36 .70 rupees

3.

If y varies inversely as x , and if y=4 when x=72, find the value of y when x=9.

a)

288

b)

32

c)

73

d)

44

4.

If 20 men consume a certain quantity of rice in 14 days, in how many days will 8 men consume the same quantity of rice

a)

20

b)

14

c)

35

d)

8

5.

A fort had provisions for 150 men for 45 days. after 10 days 25 men left the fort. how long will the food last at at the same rate.

a)

42 days

b)

76days

c)

23 days

d)

53days

6.

A shopkeeper has just enough money to buy 52 cycles worth rupees 525 each. if each cycle were to cost rupees 21 more than the amount he has, how many cycle would he be able to buy?

a)

546

b)

50

c)

23

d)

45

7.

If 20 men assemble 8 machine in a day ,how many men are needed to assemble 12 machine in a day?

a)

30

b)

45

c)

64

d)

72

8.

If 15 books cost rupees 70 , how much will 12 books cost?

a)

54

b)

70

c)

56

d)

70

9.

Harsh takes 150 steps to walking a distance of 125 .what distance would he cover in 360 steps?

a)

24km

b)

540km

c)

360km

d)

300km

10.

If y varies inversely as x and if y =9 when X equals to 2 find the value of y when X = 3.

a)

288

b)

45

c)

65

d)

14

11.

Working 4 hours a day Savita can type manuscript in 15 days how many hours a day should we work so as to finish the work in 10 days.

a)

4hours

b)

6 hours

c)

6 days

d)

4 day

12.

A stock of foodgrains is enough for 400 persons for 9 days how long will the same stock last for 300 person.

a)

13 days

b)

14days

c)

12days

d)

15 days

13.

In case of an indirect variation xy = (a)  

14.

If with the decrease in one of the quantities the other quantity also decrease then the are in (a)  

15.

Number of articles X and their price y vary (a)