Important Questions of Direct and Inverse Proportions Mathematics | Zigya

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 Multiple Choice QuestionsShort Answer Type

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21.

A batch of bottles were packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, How many boxes would be filled?

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22.

A factory requires 42 machines to produce a given number of articles in 63 days. How many machines would be required to produce the same number of articles in 54 days?

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23.

A car takes 2 hours to reach a destination by travelling at the speed of 60 km/h. How long will it take when the car travels at the speed of 80 km/h?

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 Multiple Choice QuestionsLong Answer Type

24.

Two persons could fit new window in a house in 3 days.

(i) One of the persons fell ill before the work started. How long would the job take now?

(ii) How many persons would be needed to Jit the windows in one day?

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 Multiple Choice QuestionsShort Answer Type

25.

A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same?

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26.

Take a sheet of paper. Fold it as shown in the figure. Count the number of parts and the area of a part in each case.

Tabulate your observations and discuss with your friends. Is it a case inverse proportion? Why?

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27.

Take a few containers of different sizes with circular bases. Fill the same amount of water in each container. Note the diameter of each container and the respective height at which the water level stands. Tabulate your observations. Is it a case of inverse proportion?

Diameter of container (in cm)

     

Height of water level (in cm)

   
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28.

Observe the following table where x and y are directly proportional.

x →

20

17

(ii) P1

y →

(i) P1

34

30

Find the unknown quantities.

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29.

Observe the following table where x and y are in inverse variation.

x

(i) P1

200

300

y

60

30

(ii) P2

Find the unknown quantities.

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30.

A mixture of paint is prepared by mixing 1 part of green pigments with 6 parts of the base. In the following table, find the parts of base needed to be added.

Parts of green pigment

1

4

5

6

Parts of base

6

X1

x2

x3

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