Assertion and Reason Questions Class 8 Maths Chapter 2 Linear Equations in One Variable

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Solved CBSE Class 8 Maths Chapter 2 Assertion and Reason Questions – Linear Equations in One Variable. Here we (Net Explanations) working very hard to providing you with the Important Assertion Reason Questions for this Chapter.

Assertion and Reason Questions Class 8 Maths Chapter 2 Linear Equations in One Variable

1.) Assertion (A) – The standard form of a linear equation in one variable x is ax + b = 0

  Reason (R) – Standard form for linear equation in one variable is ax+b=0. where x is variable and a, b are arbitrary constants

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

2.) Assertion (A) – The linear equation in one variable x, is x/2+x/3+1/4.

Reason (R) – Standard form for linear equation in one variable is ax+b=0. where x is variable and a, b are arbitrary constants

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

3.) Assertion (A) – The degree of the equation x² – 2x + 1 = x² – 3 is 2

Reason (R) – Standard form for linear equation in one variable is ax+b=0. where x is variable and a, b are arbitrary constants

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

4.) Assertion (A) – The statement ‘on adding 10 in a number, the number becomes 20’ in the form of an equation is x + 10 = 20.

Reason (R) – Standard form for linear equation in one variable is ax+b=0. where x is variable and a, b are arbitrary constants

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

5.) Assertion (A) – If 9 is added to a number, it becomes 25. This statement in the form of an equation is x + 9 = 25.

   Reason (R) – Standard form for linear equation in one variable is ax+b=0. where x is variable and a, b are arbitrary constants

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

6.) Assertion (A) – If 15 is subtracted from a number, it becomes -5. This statement in the form of an equation is x – 15 = 5

   Reason (R) – Standard form for linear equation in one variable is ax+b=0. where x is variable and a, b are arbitrary constants

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

7.) Assertion (A) – Seven times a number is 42. This statement in the form of an equation is 7x = 42.

   Reason (R) – Standard form for linear equation in one variable is ax+b=0. where x is variable and a, b are arbitrary constants

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

8.) Assertion (A) – A number when divided by 5 gives 6. This statement in the form of an equation is 5x = 6.

   Reason (R) – Standard form for linear equation in one variable is ax+b=0. where x is variable and a, b are arbitrary constants

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

9.) Assertion (A) – A number when subtracted from 40 results into 15. This statement in the form of an equation is 40 – x = 15

   Reason (R) – Standard form for linear equation in one variable is ax+b=0. where x is variable and a, b are arbitrary constants

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

10.) Assertion (A) – If 6 is added to 3 times of a number, it becomes 15. This statement in the form of an equation is 3x + 6 = 15.

   Reason (R) – the linear equation involves only one unknown, it is called “univariate”. The quadratic equation contains only powers of x that are non-negative

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

11.) Assertion (A) – On subtracting 30 from two times a number, we get 56. This statement in the form of an equation is 2x – 30 = 56

   Reason (R) – the linear equation involves only one unknown, it is called “univariate”. The quadratic equation contains only powers of x that are non-negative

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

12.) Assertion (A) – The root of the equation z + 4 = -8 is -32

   Reason (R) – the linear equation involves only one unknown, it is called “univariate”. The quadratic equation contains only powers of x that are non-negative

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

13.) Assertion (A) – The root of the equation 3x = 20/7 – x is 5/7

Reason (R) – The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

14.) Assertion (A) – The root of the equation 2x + 3 = 2(x – 4) is does not exist.

Reason (R) – The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

15.) Assertion (A) – The solution of the equation 5/x = 2 is 2/5.

Reason (R) – The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

16.) Assertion (A) – The largest number of the three consecutive numbers is x + 1. Then, the smallest number is x-1.

Reason (R) – The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

17.) Assertion (A) – If x is an even number then the consecutive even number is x+2.

Reason (R) – Numbers which follow each other in order, without gaps, from smallest to largest. 12, 13, 14 and 15 are consecutive numbers

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

18.) Assertion (A) – x is an odd number. The largest odd number preceding x is x-2.

Reason (R) – Numbers which follow each other in order, without gaps, from smallest to largest. 12, 13, 14 and 15 are consecutive numbers

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

19.) Assertion (A) – The difference of two numbers is 21. The larger number is x. The smaller number is x-21.

Reason (R) – Numbers which follow each other in order, without gaps, from smallest to largest. 12, 13, 14 and 15 are consecutive numbers

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

20.) Assertion (A) – In a two digit number, the unit’s digit is x and the ten’s digit is y. Then, the number is 10y+x.

Reason (R) – Numbers which follow each other in order, without gaps, from smallest to largest. 12, 13, 14 and 15 are consecutive numbers

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

 

21.) Assertion (A) – The root of the equation 5x – 8 = 7 is 3

Reason (R) – The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

21.) Assertion (A) – The root of the equation x + 3 = 5 is 2

Reason (R) – The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

22.) Assertion (A) – The root of the equation x – 8 = 2 is 12

Reason (R) – The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

23.) Assertion (A) – The root of the equation 3x+8=14

Reason (R) – The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

24.) Assertion (A) – The root of the equation 2y = 5(3 + y) is -5

Reason (R) – The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

25.) Assertion (A) – The root of the equation y/3 – 7 = 11 is -54

Reason (R) – The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

26.) Assertion (A) – The root of the equation 14 – x = 8 is 7

Reason (R) – The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

27.) Assertion (A) – The root of the equation 5x/3 = 30 is 18

Reason (R) – The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

28.) Assertion (A) – The root of the equation 3y + 4 = 5y – 4 is 2

Reason (R) – The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

29.) Assertion (A) – The root of the equation 7x/3 = 3 is 5x/3

Reason (R) – The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

30.) Assertion (A) – The root of the equation 3x = 20/7 – x is 7/5.

Reason (R) – The value of the variable which makes left hand side equal to right hand side in the given equation is called the solution or the root of the equation

a) Both A and R are true and R is the correct explanation of A

b) Both A and R are true but R is not the correct explanation of A

c) A is true but R is false

d) A is false but R is true

ANSWERS:

1:a         2:a         3:d         4:b         5:b         6:d

7:b         8:d         9:b         10:c        11:c        12:c

13:a       14:a       15:d       16:b       17:a       18:b

19:b       20:b       21:a       22:d       23:a       24:a

25:d       26:d       27:a       28:d       29:a       30:d

Updated: January 21, 2022 — 11:12 pm

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