Assertion (A) & Reason (B) MCQ

MCQ 11 Mark

Assertion (A): If 3x -9 = 6 then 3x = 6-9 = -3.
Reason (R): -a is transposed from LHS to RHS of an equation as +a.

A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
C
Assertlon (A) is true but Reason (R) is false.
✓
Assertion (A) is false but Reason (R) is true.

Answer

Correct option: D.

Assertion (A) is false but Reason (R) is true.

(d): In the equation $3 x-9=6$, we transpose -9 to the RHS as +9 . So, we have
$
3 x=6+9 \Rightarrow 3 x=15
$
$\therefore A$ is false. R is clearly true.

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MCQ 21 Mark

Assertion (A): The root of the equation $3 x-8=4$ is $x=4$.
Reason (R): The root of a linear equation is the value of $x$ equal to the right-hand side of the equation.

A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
✓
Assertlon (A) is true but Reason (R) is false.
D
Assertion (A) is false but Reason (R) is true.

Answer

Correct option: C.

Assertlon (A) is true but Reason (R) is false.

(c): Substituting $x=4$ in the given equation $3 x-8=4$, we get
$
\text { LHS }=3 \times 4-8=12-8=4=\text { RHS. }
$
Thus, $x=4$ is the root of the given equation.
$\therefore A$ is true.
R is false. By the definition of the root of an equation, it is the value of $x$ which makes LHS of the equation equal to the RHS.

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MATHS Assertion (A) & Reason (B) MCQ

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