Assertion (A) & Reason (B) MCQ

MCQ 11 Mark

Assertion (A): Speed varies inversely as the time taken to cover a certain distance.
Reason (R): More the speed, more is the distance covered in a certain time.

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

Answer

Correct option: B.

Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation
of Assertion (A).

(b): More the speed, less is the time taken to cover a certain distance. So, speed varies inversely as the time taken to cover a certain distance.
$\therefore A$ is true.
Also, more the speed, more is the distance covered in a certain time, i.e., speed varies directly as the distance covered in a certain time.
$\therefore R$ is also true but R is not the correct explanation of A .

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MCQ 21 Mark

Assertion (A): If 25 men can complete a work in 42 days then 30 men can complete the same work in 35 days.
Reason (R): More men at work, more is the work done.

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

Answer

Correct option: B.

Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation
of Assertion (A).

(b): 25 men can do the work in 42 days
1 men can do the work in $(42 \times 25)$ days [less men, more days]
30 men can do the work in $\frac{42 \times 25}{30}$ days $=35$ days [more men, less days].
$\therefore A$ is true.
R is also true because the work done varies directly as the number of men at work. So, more men at work, more is the work done.
But R is not the correct explanation of A .

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MCQ 31 Mark

Assertion (A): The work done varies inversely as the number of men at work.
Reason (R): Less men at work, lesser is the work done.

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
Assertion (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): R is true since more men at work, more is the work done and less men at work, lesser is the work done, i.e., work done varies directly as the number of men at work.
$\therefore A$ is false.

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MCQ 41 Mark

Assertion (A): If 5 pens cost ₹ 60 then 15 pens will cost $₹ 180$.
Reason (R): The cost of articles varies directly as the number of articles.

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

Answer

Correct option: A.

Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

(a): Cost of 5 pens $=₹ 60$
$
\begin{aligned}
\therefore \text { cost of } 1 \text { pen }=₹\left(\frac{60}{5}\right) & \text { [less pens, less cost] } \\
\therefore \text { cost of } 15 \text { pens } & =₹\left(\frac{60}{5} \times 15\right) \\ [more pens, more cost] \\
& =₹ 180 .
\end{aligned}
$
$\therefore A$ is true.
$R$ is true and $R$ is the correct explanation of $A$.

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MATHS Assertion (A) & Reason (B) MCQ

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