Chemical Effects of Electric Current
Some natural Phenomena
Force and Pressure
Pollution of Air and Water
Cell Structure and Functions
Crop Production and Management
Friction
Reproduction in Animals
Synthetic Fibres and Plastics
Coal and Petroleum
Combustion and Flame
Reaching the Age of Adolescence
Conservation and Flame
Light
Materials: Metals and Non-Metals
Microorganisms: Friend and Foe
Sound
Stars and the Solar System
Conservation of Plants and Animals

Algebraic Expressions and Identities
Data Handling
Direct and Inverse Proportions
Linear Equations in One Variable
Visualising Solid Shapes
Introduction to Graphs
Understanding Quadrilaterals
Factorisation
Cubes and Cube Roots
Comparing Quantities
Practical Geometry
Rational Numbers
Squares and Square Roots
Exponents and Powers
Mensuration
Playing with Numbers

Direct and Inverse Proportions

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Q 1. If 'x' and 'y' are in a direct proportion then which of the following is correct?

{tex}x - y{/tex} = constant

{tex}x + y{/tex} = constant

{tex}x \times y{/tex} = constant

{tex}\frac{x}{y}{/tex} = constant

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Q 2. If the amount of work completed by 'A' in one day is {tex}\frac{1}{n}{/tex} then the whole work will be finished by 'A' is :

n days

1 - n days

n - 1 days

none of these

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Q 3. "If speed is more that time to cover a fixed distance would be less". This is a case or :

inverse variation

direct variation

direct and indirect both variations

none of the above

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Q 4. If x and y vary inversely. Then using the following table?

x {tex}\quad{/tex} | 5 {tex}\quad{/tex} |
---|---|

y | 30 |

10

40

15

20

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Q 5. The ratio of girls to boys in a class is 2 : 3. The actual strength of the class is :

12

15

16

18

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Q 6. If two quantities x and y are related to each other in such a way that {tex}\frac{x}{y}{/tex} remains a positive constant, then x and y are said to be in

inverse variation

direct variation

variation

none of these

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Q 7. The cost price of articles and number of articles are said to be in

direct variation

inverse variation

variation

none of these

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Q 8. Time taken to cover a distance by a car and speed of the car are said to be in

direct variation

inverse variation

variation

none of these

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Q 9. If 12 m of a uniform iron rod weights 42 kg, what will be the weight of 6 m of the same rod?

20 kg

21 kg

84 kg

42 kg

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Q 10. A certain number of men can finish a piece of work in 100 days. If however, there were 10 men to be finished. How many men were originally there?

90

100

110

120

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Q 11. If 20 binders bind 1000 books in 10 days, then how many books will binded by 10 binders in 20 days?

2000

1000

1500

900

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Q 12. A train 150 m long, is running at a speed of 90 km/hr. Then time taken by the train to cross a tree is

3 sec

4 sec

5 sec

6 sec

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Q 13. x and y are in inverse proportion. If y = 15 when x = 3, then value of y when x = 9, is

45

5

8

9

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Q 14. x and y are in direct variation. If y = 10 when x = 5, then value of y when x = 10, is

2

5

10

20

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Q 15. 15 books weight 6 kg. What will 6 books weight?

1.2 kg

2.4 kg

3.8 kg

3 kg

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Q 16. 8 g of sandal wood cost Rs.40. What will 10 g cost ?

Rs.30

Rs.36

Rs.48

Rs.50

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Q 17. 20 trucks can hold 150 metric tonnes. How much will 12 trucks hold?

80 metric tonnes

90 metric tonnes

60 metric tonnes

40 metric tonnes

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Q 18. A boy runs 1 km in 10 minutes. How long will he take to run 600 m?

2 minutes

3 minutes

4 minutes

6 minutes

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Q 19. A shot travels 90m in 1 second. How long will it take to go to 225 m?

2 seconds

2.5 seconds

4 seconds

3.5 seconds

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Q 20. The fare for a journey of 40 km is Rs.25. How much can be traveled for Rs.40?

32 km

64 km

50 km

60 km

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Q 21. A machine in a soft drink factory fills 600 bottles in 5 hours. How many bottles will it fill in 2 hours?

120

180

150

240

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Q 22. 10 men can dig a trench in 15 days. How long will 3 men take?

50 days

60 days

100 days

75 days

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Q 23. 6 pipes are required to fill a tank in 1 hour. How long will it take if only 5 pipes of the same type are used?

75 minutes

72 minutes

80 minutes

90 minutes.

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Q 24. 40 cows can graze a field in 16 days. How many cows will graze the same field in 10 days?

60

64

80

75

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