Assertion (A) & Reason (B) MCQ

MCQ 11 Mark

Assertion (A): $7.3 \times 0.3=2.19$.
Reason ( $R$ ): When we multiply a decimal by 10 , we shift the decimal point to the right by one place.

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):
$\begin{array}{r}73 \\ \times 3 \\ \hline 219\end{array}$
$
\therefore 7.3 \times 0.3=2.19
$
So, A is true. R is clearly true, but R is not the correct explanation of A .

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MCQ 21 Mark

Assertion (A): $0.6 \times 0.06=0.36$
Reason (R): The product of two decimals has as many decimal places as the sum of the decimal places in the given decimals.

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): We have, $0.6 \times 0.06=0.36$
$\therefore A$ is false. R is clearly true.

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MCQ 31 Mark

Assertion (A): 9 kg 38 g=9.038 kg.
Reason (R): 1000 g=1 kg.

✓
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): We know that 1000 g=1 kg and so, we have 9 kg 38 g=(9 $\times$ 1000) g + 38 g= 9038 g $=\frac{9038}{1000} kg$ =9.038 kg.
Hence, A and R are both true and R is the correct explanation of A .

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MCQ 41 Mark

Assertion (A): Two decimal numbers having different whole-number parts cannot be compared.
Reason (R): In order to compare two decimal numbers we first convert them to like decimals.

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): Any two decimal numbers can be compared.
$\therefore A$ is false.
The first step towards comparison of two decimal numbers is their conversion into like decimals. $\therefore R$ is true.

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MCQ 51 Mark

Assertion (A): Unlike decimals can be converted into like decimals.
Reason (R): Putting any number of zeros to the right of the decimal point does not change its value.

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

Answer

Correct option: C.

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

(c): Unlike decimals can be converted into like decimals by making their number of decimal places equal.
$\therefore A$ is true.
Putting zeros to the right of the decimal point does change the value of the decimal.
For example, $23.7 \nRightarrow 23.07, \therefore R$ is false.

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MCQ 61 Mark

Assertion (A): $1.94,7.25$ and 9.01 are like decimals.
Reason (R): Two or more decimals are said to be like decimals if they have the same number of digits.

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

Answer

Correct option: C.

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

(c): The decimals $1.94,7.25$ and 9.01 are like decimals.
$\therefore A$ is true.
Two or more decimals are like decimals if they have the same number of decimal places. . R is false.

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MATHS Assertion (A) & Reason (B) MCQ

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