Proportional Reasoning 2 Class 8 Assertion and Reasoning Questions

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Maths Class 8 Maths 105 views Jun 15, 2026 Reviewed & updated Sep 17, 2026
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Proportional Reasoning 2 Class 8 Assertion and Reasoning Questions

Proportional Reasoning 2 Class 8 Assertion and Reasoning Questions

In each of the following questions, two statements have been given. One has been labelled as Assertion (A) and the other has been labelled as Reason (R). You have to choose the correct option, from the given four options.

(a) Both the statements (A) and (R) are correct and (R) is the correct explanation of (A).

(b) Both the statements (A) and (R) are correct but (R) is not the correct explanation of (A).

(c) (A) is correct but (R) is not correct.

(d) (R) is correct but (A) is not correct.

1. (A) : Observing the given table, we can say that x and y are in direct proportion :

x12618
y8416


(R) : For direct proportion, value of [latex]\frac{x}{y}[/latex] in each case should be the same.

Solution:

(d) (R) is correct but (A) is not correct.


2. (A) : Distance travelled by a train in 20 minutes at a speed of 75 km/hour is 25 km.

(R) : Time and distance at a fixed speed are directly proportional to each other.

Solution:

(a) Both the statements (A) and (R) are correct and (R) is the correct explanation of (A).


3. (A) : If a machine can fill 840 bottles of soft drink in 6 hours, then it will fill 700 bottles of soft drink in 5 hours.

(R) : Filling of bottles of soft drink and time taken by the machine are inversely proportional to each other.

Solution:

(c) (A) is correct but (R) is not correct.


4. (A) : For the given table, x and y are in inverse proportion to each other.

x200400300
y301520


(R) : For inverse proportion, xy = a-constant.

Solution:

(a) Both the statements (A) and (R) are correct and (R) is the correct explanation of (A).


5. (A) : For the given table, x and y are inversely proportional to each other.

x15200100300
y4352


(R) : For inverse proportion, xy = a-constant.

Solution:

(d) (R) is correct but (A) is not correct.


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