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Class 8 Exam  >  Class 8 Tests  >  Mathematics (Maths) Class 8  >  Test: Direct And Inverse Proportions- 1 - Class 8 MCQ

Test: Direct And Inverse Proportions- 1 - Class 8 MCQ


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10 Questions MCQ Test Mathematics (Maths) Class 8 - Test: Direct And Inverse Proportions- 1

Test: Direct And Inverse Proportions- 1 for Class 8 2024 is part of Mathematics (Maths) Class 8 preparation. The Test: Direct And Inverse Proportions- 1 questions and answers have been prepared according to the Class 8 exam syllabus.The Test: Direct And Inverse Proportions- 1 MCQs are made for Class 8 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Direct And Inverse Proportions- 1 below.
Solutions of Test: Direct And Inverse Proportions- 1 questions in English are available as part of our Mathematics (Maths) Class 8 for Class 8 & Test: Direct And Inverse Proportions- 1 solutions in Hindi for Mathematics (Maths) Class 8 course. Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free. Attempt Test: Direct And Inverse Proportions- 1 | 10 questions in 10 minutes | Mock test for Class 8 preparation | Free important questions MCQ to study Mathematics (Maths) Class 8 for Class 8 Exam | Download free PDF with solutions
Test: Direct And Inverse Proportions- 1 - Question 1
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If two quantities x and y vary directly, then

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

If the ratio (x/y) of two variables (x and y) is equal to a constant (k = yx), then the variable in the numerator of the ratio (y) is the product of the other variable and the constant (y = k⋅x). In this case y is said to be directly proportional to x with proportionality constant k.

Test: Direct And Inverse Proportions- 1 - Question 2
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If 8:12::6:a, the value of a is

Detailed Solution for Test: Direct And Inverse Proportions- 1 - Question 2

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Test: Direct And Inverse Proportions- 1 - Question 3
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Observe the given table.

What can be said about x and y?

Detailed Solution for Test: Direct And Inverse Proportions- 1 - Question 3

Clearly, 

 

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

Test: Direct And Inverse Proportions- 1 - Question 4
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If 3 men or 6 women can do a piece of work in 16 days, in how many days can 12 men and 8 women do the same piece of work?
Detailed Solution for Test: Direct And Inverse Proportions- 1 - Question 4
- We know that 3 men can do the work in 16 days, which is the same as 6 women.
- Therefore, 3 men = 6 women implies that 1 man = 2 women.
- Now, for 12 men: 12 men = 24 women (since 12 x 2 = 24).
- Adding 8 women gives us 32 women total (24 + 8 = 32).
- If 6 women take 16 days, then 32 women will take 3 days (16 days x (6/32)).
- Thus, 12 men and 8 women can complete the work in 3 days.
Test: Direct And Inverse Proportions- 1 - Question 5
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A car is traveling at a speed of 54 km/ hour, covers a distance in 2.5 hours. At a speed of 45 km/hr, it covers the same distance in
Detailed Solution for Test: Direct And Inverse Proportions- 1 - Question 5

Distance =54×2.5=135 km .
Speed =45 km/h.
Now time = Distance / Speed =135/45=3 hours.
It can cover the same distance at a speed of 45km/h in 3 hours.

Test: Direct And Inverse Proportions- 1 - Question 6
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12 men can dig 8 meters long trench in a day. How many men should be employed for digging 50 meter long trench of the same type in one day?
Detailed Solution for Test: Direct And Inverse Proportions- 1 - Question 6

This is a question of direct proportion as with increase in depth of digging the number of men will increase
So, in direct proportion the constant value is given by X/ Y
12/8 = a/50 (where a is the number of men to be employed)
12 X 50 = 8 X a
600 = 8 X a
600/ 8 = a
75 men = a

 

Test: Direct And Inverse Proportions- 1 - Question 7
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If the cost of 18 pens is Rs. 234, a dozen pen will cost
Detailed Solution for Test: Direct And Inverse Proportions- 1 - Question 7

Cost of 18 pens = Rs 234
So Cost of 1 pen = 234/18=13
So a dozen pens (12 pens) will cost =
12 X13 = Rs 156

Test: Direct And Inverse Proportions- 1 - Question 8
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Raju earns Rs 1440, if he works for 12 days. If he works for 30 days, he will earn
Detailed Solution for Test: Direct And Inverse Proportions- 1 - Question 8

Since wages are directly related to no. of days , we apply direct variation

Test: Direct And Inverse Proportions- 1 - Question 9
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There is enough food to last for 40 people for 10 days. If 10 more people join them, the food will last for
Detailed Solution for Test: Direct And Inverse Proportions- 1 - Question 9

total food = no of people x no of days
40x10=50xa
400=50xa
8=a

Test: Direct And Inverse Proportions- 1 - Question 10
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A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:
Detailed Solution for Test: Direct And Inverse Proportions- 1 - Question 10

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