Teacher's Resources

9. Direct and Inverse Variation

Click the correct answer (True & False).

If p and q are in inverse variation then (p + 2) and (q – 2) are also in inverse variation.

True

False

If xy = 48 and y = 8, then x = 7.

True

False

Weight of rice and its cost are in direct variation.

True

False

Height and weight of a growing child are in direct variation.

True

False

Wages of a worker and the number of hours of work are in direct variation.

True

False

The number of students and the fees paid by them are in inverse variation.

True

False

The number of rainy days and the amount of rainfall on those days are in direct variation.

True

False

If a car is not moving at a uniform speed, then the distance travelled and time taken are in direct variation.

True

False

If two quantities x and y vary in such a manner that xy is constant and positive, then x and y are said to be in inverse variation.

True

False

Click the correct answer.

The quantity of rice sold by two shopkeepers is in the ratio 3 : 5. If the second shopkeeper sold 25 kg of rice, how much rice did the first shopkeeper sell?

18 kg

15 kg

20 kg

12 kg

If 30 men can build a wall in 10 days, in how many days can 25 men build the same wall?

13 days

11 days

12 days

14 days

Given that x is in inverse variation with y. If x is 8 and the constant of variation is 48, what is the value of y?

If the cost of 15 notebooks is ₹ 240, what is the cost of 10 such notebooks?

₹ 160

₹ 155

₹ 150

₹ 165

The cost of 5 kg apples is ₹ 280. What will be the cost of 7 kg apples?

₹ 392

₹ 200

₹ 396

₹ 292

If 10 men can dig a pit in 14 days, in how many days can 20 men dig the pit?

5 days

6 days

7 days

8 days

A train is moving at an average speed of 72 km/h. How much distance will it cover in 25 minutes?

28 km

26 km

30 km

32 km

On a particular day, 150 US dollars are worth ₹ 7,425. On the same day, what will be the worth of 250 US dollars?

₹ 12,357

₹ 12,275

₹ 12,257

₹ 12,375

If x is in inverse variation with y, and x = 7 when y = 4. What is the value of y when x = 2?

Click the correct answer.

Two quantities x and y are said to be in direct variation if $$\frac{x}{y}$$ is .

constant and negative

variable and positive

constant and positive

The time of the journey is in variation with the speed of the car.

inverse

direct

If xy = 48 and y = 6, then x = .

If p = 4q, then p and q with each other.

very inversely

very directly

do not vary

If 12 pumps can empty a reservoir in 20 hours, then the time required by 48 such pumps to empty the same reservoir is hours.

If the area occupied by 15 postal stamps is 60 cm2, then the area occupied by 120 such postal stamps will be .

460 cm²

480 cm²

440 cm²

If a machine can pack 45 boxes in 5 hours, then it can pack boxes in 12 hours.

106

108

If the thickness of 12 sheets of chart papers is 35 mm, then the thickness of 294 such sheets is mm.

857.05

875.5

857.5

If 5 bottles of juice can be used for making 8 servings of the drink, then bottles are required to make 32 servings.

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