Question 1 :
If two quantities p and q vary inversely with each other, then
Question 2 :
On increasing a, b increases in such a manner that $\frac {a}{b}$ remains______ and positive, then a and b are said to vary directly with each other.
Question 3 :
Kusum always forgets how to convert miles to kilometres and back again. However she remembers that her car’s speedometer shows both miles and kilometres. She knows that travelling 50 miles per hour is same as travelling 80 kilometres per hour. To cover a distance of 200 km, how many miles Kusum would have to go?
Question 4 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc96f59b460d7261eda7.PNG' />
In the above figure, a table is shown. If a and b vary inversely to each other, then find the value of n.
Question 5 :
l varies directly as m and l is equal to 5, when m = $\frac {2}{3}$ . Find l when m = $\frac {16}{3}$.
Question 6 :
The perimeter of a circle and its diameter vary _______ with each other.
Question 7 :
The number of workers and the time to complete a job is a case of direct proportion. True or false ?
Question 8 :
30 persons can reap a field in 17 days. How many more persons should be engaged to reap the same field in 10 days?
Question 10 :
Under the condition that the temperature remains constant, the volume of gas is inversely proportional to its pressure. If the volume of gas is 630 cubic centimetres at a pressure of 360 mm of mercury, then what will be the pressure of the gas if its volume is 720 cubic centimetres at the same temperature?
Question 11 :
A car covers a distance in 40 minutes with an average speed of 60 km/h. What should be the average speed to cover the same distance in 25 minutes?
Question 12 :
If the area occupied by 15 postal stamps is 60 $cm^2$, then the area occupied by 120 such postal stamps will be _______.
Question 13 :
Two quantities are said to vary ______ with each other if they increase (decrease) together in such a manner that the ratio of their corresponding values remains constant.
Question 14 :
If 12 pumps can empty a reservoir in 20 hours, then time required by 45 such pumps to empty the same reservoir is ______ hours.
Question 15 :
Choose the correct option. The quantity of rice and its cost
Question 16 :
Choose the correct option. The height of a tree and the number of years
Question 17 :
In a hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, how long will these provisions last?
Question 18 :
An auto rickshaw takes 3 hours to cover a distance of 36 km. If its speed is increased by 4 km/h, the time taken by it to cover the same distance is __________.
Question 19 :
Choose the correct option. Area of the walls of a room and the cost of white washing the walls
Question 20 :
The cost of 27 kg of iron is Rs 1,080, what will be the cost of 120 kg of iron of the same quality?
Question 21 :
If x and y are directly proportional and when x = 13, y = 39, which of the following is not a possible pair of corresponding values of x and y ?
Question 22 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc95f59b460d7261eda6.PNG' />
In the above figure, a table is shown. If a and b vary inversely to each other, then find the value of m.
Question 23 :
Side of a rhombus and its perimeter are in ______ proportion.
Question 24 :
Choose the correct option. Number of students in a hostel and consumption of food
Question 25 :
Ravi starts for his school at 8:20 a.m. on his bicycle. If he travels at a speed of 10 km/h, then he reaches his school late by 8 minutes but on travelling at 16 km/h he reaches the school 10 minutes early. At what time does the school start?
Question 26 :
If the cost of 10 pencils is Rs 90, then the cost of 19 pencils is Rs 171. True or false ?
Question 28 :
Choose the appropriate option (related to the chapter) to replace these blanks with a 10 letter word. Indirect _ _ _ _ _ _ _ _ _ _.
Question 29 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc91f59b460d7261eda0.PNG' />
In the above figure, a table is shown. If a and b vary inversely to each other, then find the value of q.
Question 30 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cca2f59b460d7261edb5.PNG' />
In the above figure, a key board of a harmonium is given. This pattern of keys is repeated on larger keyboard. How many black keys would you expect to find on a keyboard with 14 such patterns ?
Question 31 :
A car travels a distance of 225 km in 25 litres of petrol. How many litres of petrol will be required to cover a distance of 540 kilometres by this car?
Question 32 :
Meenakshee cycles to her school at an average speed of 12 km/h and takes 20 minutes to reach her school. If she wants to reach her school in 12 minutes, her average speed should be
Question 33 :
A bowler throws a cricket ball at a speed of 120 km/h. How long does this ball take to travel a distance of 20 metres to reach the batsman?
Question 34 :
In a scout camp, there is food provision for 300 cadets for 42 days. If 50 more persons join the camp, for how many days will the provision last?
Question 35 :
If x varies inversely as y and x = 20 when y = 600, find y when x = 400.
Question 36 :
44 cows can graze a field in 9 days. How many less/more cows will graze the same field in 12 days?
Question 37 :
A swimming pool can be filled in 4 hours by 8 pumps of the same type. How many such pumps are required if the pool is to be filled in 2$\frac {2}{3}$ hours ?
Question 38 :
The area of cultivated land and the crop harvested is a case of direct proportion. True or false ?
Question 39 :
Many schools have a recommended students-teacher ratio as 35:1. Next year, school expects an increase in enrolment by 280 students. How many new teachers will they have to appoint to maintain the students-teacher ratio?
Question 40 :
At a particular time, the length of the shadow of Qutub Minar whose height is 72 m is 80 m. What will be the height of an electric pole, the length of whose shadow at the same time is 1000 cm?
Question 41 :
When two quantities x and y are in inverse proportion (or vary inversely) they are written as
Question 42 :
Choose the correct option. Increase in cost and number of shirts that can be purchased if the budget remains the same
Question 43 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc99f59b460d7261edaa.PNG' />
Refer to the above figure. To match each of the entries in Column I with the appropriate entry in Column II, choose the correct option.
Question 44 :
When two quantities are related in such a manner that, if one increases, the other also increases, then they always vary directly. True or false ?
Question 45 :
If x and y are in inverse proportion, then (x + 1) and (y + 1) are also in inverse proportion. True or false ?
Question 46 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc9bf59b460d7261edad.PNG' />
In the above figure, a table is shown. This table shows the time four elevators take to travel various distances. Find which elevator is slowest.
Question 47 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc95f59b460d7261eda5.PNG' />
In the above figure, a table is shown. If a and b vary inversely to each other, then find the value of l.
Question 48 :
Both x and y are in direct proportion, then $\frac {1}{x}$ and $\frac {1}{y}$ are
Question 49 :
Both u and v vary directly with each other. When u is 10, v is 15, which of the following is not a possible pair of corresponding values of u and v?
Question 50 :
If one angle of a triangle is kept fixed then the measure of the remaining two angles vary inversely with each other. True or false ?
