Practice the AP 8th Class Maths Bits with Answers Chapter 10 Direct and Inverse Proportions on a regular basis so that you can attempt exams with utmost confidence.

## AP State Syllabus 8th Class Maths Bits 10th Lesson Direct and Inverse Proportions with Answers

Choose the correct answer.

Question 1.

If x is directly proportional to y then which of the following is correct ?

A) x ∝ \(\frac{1}{y}\)

B) xy = \(\frac{1}{\mathrm{k}}\)

C) \(\frac{x}{y}\) = k

D) x = y

Answer:

C) \(\frac{x}{y}\) = k

Question 2.

If x is inversely proportional to y then which of the following is true?

A) xy = k

B) \(\frac{x}{y}\) = k

C) \(\frac{1}{x}=\frac{1}{y}\)

D) xy = x + y

Answer:

A) xy = k

Question 3.

If the cost of 65 packets of tea is ₹ 2600, then the cost of 75 packets of tea is

A) ₹ 2000

B) ₹ 3000

C) ₹ 2500

D) ₹ 3500

Answer:

B) ₹ 3000

Question 4.

If A pump can take 5 hrs to fill a 50 l of tank then how much time to take to fill a 75 liters of tank for the same pump?

A) 7 hrs

B) 5 \(\frac {1}{2}\) hrs

C) 6 \(\frac {1}{2}\) hrs

D) 7 \(\frac {1}{2}\) hrs

Answer:

D) 7 \(\frac {1}{2}\) hrs

Question 5.

The cost of 20 m of cloth is? 1600 then the cost of 24.5 m of cloth is

A) ₹1970

B) ₹1960

C) ₹1860

D) ₹1260

Answer:

B) ₹1960

Question 6.

If 36 men can built a wall in 12 days, then 16 men can built the same wall in …………….. days.

A) 27

B) 18

C) 35

D) 36

Answer:

A) 27

Question 7.

6 pumps take 1 hr 20 minutes to fill a tank. If 5 pumps are opened then they fill the tank in ………………. mins.

A) 106

B) 86

C) 96

D) 92

Answer:

C) 96

Question 8.

111 : 125 = …………….. %

A) 88.8

B) 16.8

C) 81.8

D) 171

Answer:

A) 88.8

Question 9.

The ratio of present ages of P and Q is 3:8 and after 6 years their ages ratio is 4:9 then the age of P at present is …………….. years.

A) 16

B) 19

C) 18

D) 20

Answer:

C) 18

Question 10.

The expenditure of 35 members for 24 days on food is ₹ 6300 then the expenditure of 25 members for 18 days is ……………..

A) ₹ 3375

B) ₹ 3475

C) ₹ 3385

D) ₹ 3365

Answer:

A) ₹ 3375

Question 11.

24 men can do a work in 14 days by working 6 hours a day. If the work is to be completed in 8 days by working 7 hours per day how many men are required?

A) 16

B) 36

C) 27

D) 46

Answer:

B) 36

Question 12.

No.of painters and the length of a wall are in …………….. proportion.

A) Equal

B) Direct

C) Inverse

D) None

Answer:

B) Direct

Question 13.

Number of workers α ………………..

A) \(\frac{1}{\text { Number of days }}\)

B) no of days

C) \(\frac{7}{\text { Number of days }}\)

D) None

Answer:

A) \(\frac{1}{\text { Number of days }}\)

Question 14.

Distance = ………………..

A) \(\frac{\text { Time }}{\text { Speed }}\)

B) Time × 2

C) Time × Speed

D) None

Answer:

C) Time × Speed

Question 15.

If x α \(\frac{1}{y}\) ⇒ xy = k then k is a …………………

A) Speed

B) Zero

C) 10

D) Constant

Answer:

D) Constant

Question 16.

If x_{1} y_{1} = x_{2} y_{2} and x_{1} y_{1} x_{2}, y_{2} are any 4 observations then they are in ………………. proportion.

A) Equal

B) Inverse proportion

C) Direct proportion

D) None

Answer:

B) Inverse proportion

Question 17.

If a car travels 60 kmph then it reaches the destination in 4 hours. If the car travels at 80 kmph then the time taken by car is ………………. hrs

A) 10

B) 4

C) 6

D) 3

Answer:

D) 3

Question 18.

In a camp there is a food stock for 500 members for 70 days. If 200 more joined in the camp then for how many days the food stock is sufficient ?

A) 50

B) 60

C) 70

D) 90

Answer:

A) 50

Question 19.

If (a+1) workers (In number) will do a work in (a+1) days then in how many days will (a+2) members of workers do the work ?

A) \(\frac{a+2}{(a+1)^{2}}\)

B) \(\frac{(a+1)^{2}}{a}\)

C) \(\frac{a+1}{a+2}\)

D) \(\frac{(a+1)^{2}}{a+2}\)

Answer:

D) \(\frac{(a+1)^{2}}{a+2}\)

Question 20.

If 15 workers can build a wall in 48 hrs, how many workers will be required to do the same work in 30 hrs?

A) 24

B) 10

C) 19

D) 20

Answer:

A) 24

Question 21.

The cost of 48 bags of rice is ₹ 16,800 then the cost of 36 such bags is ……………….

A) ₹ 10,300

B) ₹ 11,600

C) ₹ 10,600

D) ₹ 12,600

Answer:

D) ₹ 12,600

Question 22.

Area of rectangle = …………….. sq. units.

A) l^{2} + b

B) l + b

C) \(\frac{l}{b}\)

D) l b

Answer:

D) l b

Question 23.

Which of the following situation is in direct proportion?

A) Number of students and teachers in a school

B) Number of workers, length of the wall constructed

C) Number of animals, the quantity of food they eat

D) All the above

Answer:

D) All the above

Question 24.

Identify Inverse proportion in the following.

A) Time – speed

B) Time – ability to do the work

C) Distance – speed

D) All the above

Answer:

D) All the above

Question 25.

Inverse ratio of 5 : 6 is ……………….

A) 1 : 5

B) 6 : 5

C) 5 : 6

D) 6 : 1

Answer:

B) 6 : 5

Question 26.

Mean proportion of 1.2 and 4.8 is …………………

A) 2.4

B) 4.2

C) 3.2

D) 4.1

Answer:

A) 2.4

Question 27.

If 2.8, 7, 12 and x are in proportion then x = ………………..

A) 20

B) 31

C) 30

D) 40

Answer:

C) 30

Question 28.

3 minutes : 50 seconds = …………………

A) 18 : 5

B) 8 : 5

C) 1 : 5

D) 2 : 3

Answer:

A) 18 : 5

Question 29.

The cost of 5 litres of petrol is ₹ 110 then the cost of 8 litres is ……………..

A) ₹ 671

B) ₹ 176

C) ₹ 186

D) ₹ 216

Answer:

B) ₹ 176

Question 30.

A car reaches 300 km in 6 horns then how much distance is travelled by the car in 8 hours ?

A) 100 km

B) 200 km

C) 900 km

D) 400 km

Answer:

D) 400 km

Question 31.

The cost of 12 fruits is ₹ 27 then the cost of 18 fruits of same type is …………………

A) ₹ 1

B) ₹ 20

C) ₹ 16

D) None

Answer:

D) None

Question 32.

A tailor will stitch 9 shirts in 4 days then in 16 days how many shirts he will stitch?

A) 30

B) 36

C) 12

D) 19

Answer:

B) 36

Question 33.

A train travels 21/2 hrs at 90 kmph to travel the same distance how much speed is required for the train?

A) 112 1/2 km/hrs

B) 110 km/hrs

C) 141 1/2 km/hrs

D) None

Answer:

A) 112 1/2 km/hrs

Question 34.

In x 24% value is 48, then x = ……………….

A) 100

B) 200

C) 150

D) 110

Answer:

B) 200

Question 35.

The compound ratio of 3 : 4 and 5 : 6 is …………………

A) 4 : 1

B) 1 : 4

C) 5 : 4

D) 15 : 24

Answer:

D) 15 : 24

Question 36.

The cost of 25 kg potatos is ₹ 125 then for ₹ 15 how many kilograms can be purchased?

A) 9

B) 1

C) 3

D) 4

Answer:

C) 3

Question 37.

30 labourers can built a wall in 9 days. If the same wall is to be built by 20 labourers how many days they will take to complete it?

A) 14

B) 13 1/2

C) 16

D) 19 1/2

Answer:

B) 13 1/2

Question 38.

9% = ……………….

A) 0.09

B) 0.9

C) 90%

D) 9

Answer:

A) 0.09

Question 39.

A : B = 5 : 8 and B : C = 18 : 25 then A : C = ………………

A) 2 : 9

B) 9 : 20

C) 1 : 10

D) 16 : 5

Answer:

B) 9 : 20

Question 40.

x : 6 : : 5 : 3 then x = …………………..

A) 9

B) 3

C) 9

D) 10

Answer:

D) 10

Question 41.

The cost of 9 toys is ₹ 333 then the cost of 16 such toys is …………………..

A) ₹ 592

B) ₹ 612

C) ₹ 169

D) ₹ 181

Answer:

A) ₹ 592

Question 42.

48 men can dig a trench in 14 days then how many days will be taken by 28 men to dig the same trench ?

A) 13

B) 16

C) 24

D) 42

Answer:

C) 24

Question 43.

21 cows will take the food which is equal to the amount of food taken by 15 buffalo’s then how many cows will take the food that is taken by 35 buffalo’s?

A) 10

B) 2

C) 3

D) None

Answer:

D) None

Question 44.

To travel a distance of 255 km a car needs 15 litres of petrol. If the car has to travel a distance of 374 kin how many litres of petrol is required?

A) 10

B) 22

C) 16

D) 9

Answer:

B) 22

Question 45.

300 : 40 = ………………

A) 1 : 4

B) 4 : 1

C) 2 : 3

D) None

Answer:

D) None

Question 46.

For a group of 500 members is a food provision for 24 days. If 300 more joined in the group for how many days the food will be sufficient?

A) 15

B) 10

C) 9

D) 4

Answer:

A) 15

Question 47.

A train takes 45 minutes to travel 51 kins. If the same train travels 221 kins, how much time is taken by it?

A) 16 hrs 12 min

B) 3 hrs 15 min

C) 3 hrs 20 min

D) 2 hrs 20 min

Answer:

B) 3 hrs 15 min

Question 48.

Mean proportion of 8 and 18 is……….

A) 10

B) 16

C) 12

D) 9

Answer:

C) 12

Question 49.

The cost of half meter cloth is ₹ 30 then the cost of 2latex]\frac {3}{5}[/latex] m is ……………….

A) ₹ 10

B) ₹ 20

C) ₹ 16

D) None

Answer:

D) None

Question 50.

37.5% = ………………… ?

A) \(\frac{1}{2}\)

B) \(\frac{9}{8}\)

C) \(\frac{3}{8}\)

D) \(\frac{8}{3}\)

Answer:

C) \(\frac{3}{8}\)