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MATHS Assertion (A) & Reason (B) MCQ

Linear Equations in One Variable · Rajasthan Board (RBSE) STD 8 (Rajasthan - English Medium). 62 questions.

Questions · Page 2 of 2

Assertion (A) & Reason (B) MCQ

MCQ 511 Mark
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.
  • ✓
    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
Answer
Correct option: A.
Both A and R are true and R is the correct explanation of A
A
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MCQ 521 Mark
Assertion (A):  The root of the equation $3\text{x} = \frac{20}{7}$ -x is $\frac{7}{5}$
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
  • ✓
    A is false but R is true
Answer
Correct option: D.
A is false but R is true
D
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MCQ 531 Mark
Assertion (A):  The root of the equation $\frac{\text{y}}{3}-7 = {11}$ 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
  • ✓
    A is false but R is true
Answer
Correct option: D.
A is false but R is true
D
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MCQ 541 Mark
Assertion (A):  The root of the equation $\frac{7\text{x}}{3} = {3}$ is $\frac{5\text{x}}{3}$
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.
  • ✓
    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
Answer
Correct option: A.
Both A and R are true and R is the correct explanation of A
A
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MCQ 551 Mark
Assertion (A):  The root of the equation $\frac{5\text{x}}{3}$ = 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.
  • ✓
    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
Answer
Correct option: A.
Both A and R are true and R is the correct explanation of A
A
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MCQ 561 Mark
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
  • ✓
    A is false but R is true
Answer
Correct option: D.
A is false but R is true
D
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MCQ 571 Mark
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.
  • ✓
    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
Answer
Correct option: A.
Both A and R are true and R is the correct explanation of A
A
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MCQ 581 Mark
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
  • ✓
    A is false but R is true
Answer
Correct option: D.
A is false but R is true
D
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MCQ 591 Mark
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
  • ✓
    A is true but R is false
  • D
    A is false but R is true
Answer
Correct option: C.
A is true but R is false
C
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MCQ 601 Mark
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.
  • ✓
    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
Answer
Correct option: A.
Both A and R are true and R is the correct explanation of A
A
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MCQ 611 Mark
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
  • ✓
    A is true but R is false
  • D
    A is false but R is true
Answer
Correct option: C.
A is true but R is false
C
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MCQ 621 Mark
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
  • ✓
    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
Answer
Correct option: B.
Both A and R are true but R is not the correct explanation of A
B
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