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Class 8 Exam  >  Class 8 Tests  >  Olympiad Test: Direct And Inverse Proportions - Class 8 MCQ

Olympiad Test: Direct And Inverse Proportions - Class 8 MCQ


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20 Questions MCQ Test - Olympiad Test: Direct And Inverse Proportions

Olympiad Test: Direct And Inverse Proportions for Class 8 2024 is part of Class 8 preparation. The Olympiad Test: Direct And Inverse Proportions questions and answers have been prepared according to the Class 8 exam syllabus.The Olympiad Test: Direct And Inverse Proportions MCQs are made for Class 8 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Olympiad Test: Direct And Inverse Proportions below.
Solutions of Olympiad Test: Direct And Inverse Proportions questions in English are available as part of our course for Class 8 & Olympiad Test: Direct And Inverse Proportions solutions in Hindi for Class 8 course. Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free. Attempt Olympiad Test: Direct And Inverse Proportions | 20 questions in 20 minutes | Mock test for Class 8 preparation | Free important questions MCQ to study for Class 8 Exam | Download free PDF with solutions
Olympiad Test: Direct And Inverse Proportions - Question 1
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Observe the given table.

What can be said about x and y?

Detailed Solution for Olympiad Test: Direct And Inverse Proportions - Question 1

Clearly, 
 

∴ x and y are directly proportional as x/y is a constant.

Olympiad Test: Direct And Inverse Proportions - Question 2
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A van covers 432 km with 36 litres of diesel. How much distance would it cover with 25 litres of diesel?

Detailed Solution for Olympiad Test: Direct And Inverse Proportions - Question 2

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

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Olympiad Test: Direct And Inverse Proportions - Question 3
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A photograph of a type of bacteria enlarged 50000 times attains a length of 5 cm. What is the actual length of bacteria?

Detailed Solution for Olympiad Test: Direct And Inverse Proportions - Question 3

Actual length of the bacteria is 5/50,000 = 0.0001 cm = 10−4 cm

Olympiad Test: Direct And Inverse Proportions - Question 4
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If the cost of 27 bags of paddy is Rs.9450, what is the cost of 36 bags of paddy?
Olympiad Test: Direct And Inverse Proportions - Question 5
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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.
Olympiad Test: Direct And Inverse Proportions - Question 6
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A train is moving at a uniform speed of 75 km/hr. How far will it travel in 36 minutes?
Olympiad Test: Direct And Inverse Proportions - Question 7
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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?
Detailed Solution for Olympiad Test: Direct And Inverse Proportions - Question 7

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, 

Olympiad Test: Direct And Inverse Proportions - Question 8
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If 24 workers can paint a wall in 45 hours, how many workers are required to do the same work in 20 hours?
Olympiad Test: Direct And Inverse Proportions - Question 9
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If the weight of 15 sheets of thick paper is 50 grams, how many sheets of the same paper would weigh kilograms?
Olympiad Test: Direct And Inverse Proportions - Question 10
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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?
Olympiad Test: Direct And Inverse Proportions - Question 11
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x varies inversely as square of y. Given that y = 3 for x = 1.find the value of x for y = 4.
Olympiad Test: Direct And Inverse Proportions - Question 12
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The price of 357 mangoes is Rs.1517.25. What will be the approximate price of 49 dozens of such mangoes?
Detailed Solution for Olympiad Test: Direct And Inverse Proportions - Question 12

Price of 1 mango = 1517.25/357

Price of 49 dozen of mangoes = 1517.25 x 49 x 12 / 357

= 2498.588 ≈ Rs 2500

Olympiad Test: Direct And Inverse Proportions - Question 13
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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?
Olympiad Test: Direct And Inverse Proportions - Question 14
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If 11.25 m of a uniform iron rod weighs 42.75 kg,what will be the weight of 6 mof the same rod?
Detailed Solution for Olympiad Test: Direct And Inverse Proportions - Question 14

Let the required weight be x kg. The length and weight are in direct proportion. 

∴ 11.25:6::42.75 : x ⇒ 

Olympiad Test: Direct And Inverse Proportions - Question 15
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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?
Olympiad Test: Direct And Inverse Proportions - Question 16
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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?
Olympiad Test: Direct And Inverse Proportions - Question 17
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36 men can construct a bridge in 18 days. In how many days will 27 men complete the construction?
Olympiad Test: Direct And Inverse Proportions - Question 18
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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?
Olympiad Test: Direct And Inverse Proportions - Question 19
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If a quarter kg of green chillies cost 60 paise, how many paise will 200 g cost?
Detailed Solution for Olympiad Test: Direct And Inverse Proportions - Question 19

Let the required cost be x paise. Cost and weight are in direct proportion. 

∴ 250 : 200 :: 60 : x

⇒ 250 × x = 200 × 60

⇒  

Olympiad Test: Direct And Inverse Proportions - Question 20
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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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