Assertion (A) & Reason (B) MCQ

MCQ 11 Mark

Assertion $(A):$ For any two positive integers $a$ and $b, \operatorname{HCF}(a, b) \times \operatorname{LCM}(a, b)=a \times b$
Reason $(R):$ The $\text{HCF}$ of two numbers is $5$ and their product is $150.$ Then their $\text{LCM}$ is $40.$

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.

We have,
$\operatorname{LCM}( a , b ) \times \operatorname{HCF}( a , b )= a \times b$
$\text{LCM} \times 5=150$
$\text{LCM} =\frac{150}{5}=30$
$\text{LCM} =30$

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MCQ 21 Mark

Assertion (A): Distance between (3, 7) and its image under x-axis is 6 units.
Reason (R): Coordinates of centroid $=\frac{x_1+x_2+x_3}{3}, \frac{y_1+y_2+y_3}{3}$

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) Both A and R are true but R is not the correct explanation of A.
Explanation: Distance of point (h, k) from its image under x-axis is 2k units and distance of point (h, k) under y-axis is 2h units.

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Maths Assertion (A) & Reason (B) MCQ

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