Olympiad Test: Direct And Inverse Proportions
20 Questions MCQ Test Mathematics (Maths) Class 8 | Olympiad Test: Direct And Inverse Proportions
Observe the given table.
What can be said about x and y?
Clearly, 
∴ x and y are directly proportional as x/y is a constant.
A van covers 432 km with 36 litres of diesel. How much distance would it cover with 25 litres of diesel?
In 36 litre of diesel a van cover 432 km
In 1 litre of diesel a van cover 432/36 =12 km
In 25 litre of diesel a van cover 12×25 = 300 km
A photograph of a type of bacteria enlarged 50000 times attains a length of 5 cm. What is the actual length of bacteria?
Actual length of the bacteria is 5/50,000 = 0.0001 cm = 10−4 cm
If the cost of 27 bags of paddy is Rs.9450, what is the cost of 36 bags of paddy?
The scale of a map is 1:3×107 Two cities are 5 cm apart on the map. Find the actual distance between them in kilometres.
A train is moving at a uniform speed of 75 km/hr. How far will it travel in 36 minutes?
A car takes 3 hours to reach a destination by travelling at 60 km/h. How long will it take while travelling at 90 km/h?
Speed of the car = 60 km/h. Time taken = 3 h
Speed is increased to 90 km/h.
Time taken is inversely proportional to speed. Let the time taken to cover the distance travelling at90 km/h be x h. Then, 
If 24 workers can paint a wall in 45 hours, how many workers are required to do the same work in 20 hours?
If the weight of 15 sheets of thick paper is 50 grams, how many sheets of the same paper would weigh 
kilograms?
If 32 horses consume 112 kg of gram in a certain period, how much gram will be consumed by 16 horses during the same period?
x varies inversely as square of y. Given that y = 3 for x = 1.find the value of x for y = 4.
The price of 357 mangoes is Rs.1517.25. What will be the approximate price of 49 dozens of such mangoes?
Price of 1 mango = 1517.25/357
Price of 49 dozen of mangoes = 1517.25 x 49 x 12 / 357
= 2498.588 ≈ Rs 2500
A contractor can complete a certain piece w of work in 9 days. He employed certain number of men, but 6 of them being absent from the very first day, the rest could finish the work in 15 days. How many men were originally employed?
If 11.25 m of a uniform iron rod weighs 42.75 kg,what will be the weight of 6 mof the same rod?
Let the required weight be x kg. The length and weight are in direct proportion.
∴ 11.25:6::42.75 : x ⇒ 
On a scale of a map, 0.6 cm represents 6.6 km If the distance between the points on the map is80.5 cm. What is the actual distance between these places?
A flagstaff 17.5 m high casts a shadow of length40.25 m. What is the height of the building which casts a shadow of length 28.75 m under similar conditions?
36 men can construct a bridge in 18 days. In how many days will 27 men complete the construction?
A rope makes 70 rounds of the circumference of a cylinder whose radius of the base is14 cm How many times can it go round a cylinder with radius 20 cm?
If a quarter kg of green chillies cost 60 paise, how many paise will 200 g cost?
Let the required cost be x paise. Cost and weight are in direct proportion.
∴ 250 : 200 :: 60 : x
⇒ 250 × x = 200 × 60
⇒ 
A recipe for 20 rolls needs 5 tablespoons w of butter. How many tablespoons of butter is needed for 30 rolls?
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