Assertion (A) & Reason (B) MCQ - Maths STD 8 Questions - Vidyadip

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Assertion (A) & Reason (B) MCQ

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50 questions · timed · auto-graded

MCQ 11 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: The multiplicative inverse of $10^{10}$ is $10^{10}$
Reasons $(R)$: The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as $1.$

✓
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 $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 21 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: $(-2)^{-5}x (-2)^6$ is equal to $2$
Reasons $(R)$: product of powers property

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.

$A$ is false but $R$ is true.

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MCQ 31 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: $\frac{\text{am}}{\text{bm}}$ is equal to bm $(ab)^m$
Reasons $(R)$: quotient of powers property

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.

$A$ is false but $R$ is true.

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MCQ 41 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: $(a^m)^n$ is equal to $a^{n-m}$
Reasons $(R)$: power of a power property

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.

$A$ is false but $R$ is true.

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MCQ 51 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A): 1.5 \times 10^{11}$ is equal to $150000000000$
Reasons $(R)$: An exponent refers to the number of times a number is multiplied by itself

✓
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 $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 61 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$
$(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: $3^m+ 3^{-3}= 3^5 \Rightarrow m$ is equal to $2$
Reasons $(R)$: The power of a number says how many times to use the number in a multiplication

✓
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 $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 71 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: $(-1)^{50}$ is equal to $50$
Reasons $(R)$: An exponent refers to the number of times a number is multiplied by itself

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.

$A$ is false but $R$ is true.

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MCQ 81 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: In $10^2$ the base is $1$
Reasons $(R)$: Base, in math, is defined as the total count of digits used to express numbers in a number system

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.

$A$ is false but $R$ is true.

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MCQ 91 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: $5^3× 5 - 1$ is equal to $5^2$
Reasons $(R)$: product of powers property

✓
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 $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 101 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: The multiplicative inverse of am is $a^{-m}$
Reasons $(R)$: The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as $1.$

✓
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 $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 111 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: $384467000$ is equal to $3.84467 × 10^8$
Reasons $(R)$: An exponent refers to the number of times a number is multiplied by itself

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.

$A$ is false but $R$ is true.

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MCQ 121 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: The multiplicative inverse of $10^5$ is $1$
Reasons $(R)$: The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as $1.$

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.

$A$ is false but $R$ is true.

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MCQ 131 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: $(-2)^{-2}$ is equal to $\frac{1}{4}$
Reasons $(R)$: The power of a number says how many times to use the number in a multiplication

✓
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 $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 141 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: $(-2)^{m+1}× $(-2)$^4= $(-2)$^6 ⇒ m = 1$
Reasons $(R)$: The power of a number says how many times to use the number in a multiplication

✓
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 $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 151 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: $149600000000$ is equal to $1.496 × 10^{11}$
Reasons $(R)$: An exponent refers to the number of times a number is multiplied by itself

✓
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 $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 161 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: In $10^2$, the exponent is $2$
Reasons $(R)$: An exponent refers to the number of times a number is multiplied by itself.

✓
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 $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 171 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: $2 \times 2 \times 2 \times 2 \times 2$ is equal to $2^5$
Reasons $(R)$: The power of a number says how many times to use the number in a multiplication

✓
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 $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 181 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: The multiplicative inverse of $2 - 3$ is $1$
Reasons $(R)$: The power of a number says how many times to use the number in a multiplication

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.

$A$ is false but $R$ is true.

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MCQ 191 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: $a^m÷ a^n$ is equal to is equal to $a^{m-n}$
Reasons $(R)$: quotient of powers property

✓
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 $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 201 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$
$(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: $(2^0+ 4^{-1}) \times 2^2$ is equal to $6$
Reasons $(R)$: The power of a number says how many times to use the number in a multiplication

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.

$A$ is false but $R$ is true.

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MCQ 211 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: $\frac{1}{2}^{4}$ is equal to $2^{-4}$
Reasons $(R)$: The power of a number says how many times to use the number in a multiplication

✓
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 $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 221 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: $(-1)^{51}$ is equal to $1$
Reasons $(R)$: An exponent refers to the number of times a number is multiplied by itself

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.

$A$ is false but $R$ is true.

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MCQ 231 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: $a^0$ is equal to $0$
Reasons $(R)$: zero exponent property

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.

$A$ is false but $R$ is true.

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MCQ 241 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: $(2^{-1}+ 3^{-1}+ 5^{-1})^0$ is equal to $2$
Reasons $(R)$: The power of a number says how many times to use the number in a multiplication

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.

$A$ is false but $R$ is true.

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MCQ 251 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: $a^m\times a^n$ is equal to $a^{m+n}$
Reasons $(R)$: product of powers property

✓
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 $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 261 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: $10^{-1}$ is equal to $-1$
Reasons $(R)$: The power of a number says how many times to use the number in a multiplication

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.

$A$ is false but $R$ is true.

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MCQ 271 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: $a^m× b^m$ is equal to $(ab)^m$
Reasons $(R)$: power of a product property

✓
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 $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 281 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: $0.000007$ is equal to $7 × 10^{-5}$
Reasons $(R)$: An exponent refers to the number of times a number is multiplied by itself

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.

$A$ is false but $R$ is true.

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MCQ 291 Mark

Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: $3^2× 3^{-4}× 3^5$ is equal to $3^3$
Reasons $(R)$: product of powers property

✓
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 $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 301 Mark

Directions: In the following questions, the Assertions $(A) $and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): 300000000 is equal to $3 × 10^8$
Reasons (R): An exponent refers to the number of times a number is multiplied by itself

✓
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 $A$.

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.

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MCQ 311 Mark

Assertion (A): The multiplicative inverse of 2 - 3 is 1.
Reasons (R): The power of a number says how many times to use the number in a multiplication.

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 321 Mark

Assertion (A): $\frac{\text{am}}{\text{bm}}$ is equal to bm (ab)^m.
Reasons (R): quotient of powers property.

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 331 Mark

Assertion (A): 3^m + 3^-3 = 3⁵ ⇒ m is equal to 2.
Reasons (R): The power of a number says how many times to use the number in a multiplication.

✓
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 341 Mark

Assertion (A): 300000000 is equal to 3 × 10⁸.
Reasons (R): An exponent refers to the number of times a number is multiplied by itself.

✓
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 351 Mark

Assertion (A): (-2)^{m + 1}× (-2)⁴ = (-2)⁶ ⇒ m = 1.
Reasons (R): The power of a number says how many times to use the number in a multiplication.

✓
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 361 Mark

Assertion (A): (-2)^-2 is equal to $\frac{1}{4}$
Reasons (R): The power of a number says how many times to use the number in a multiplication.

✓
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 371 Mark

Assertion (A): 0.000007 is equal to 7 × 10^-5
Reasons (R): An exponent refers to the number of times a number is multiplied by itself.

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 381 Mark

Assertion (A): In 10², the exponent is 2.
Reasons (R): An exponent refers to the number of times a number is multiplied by itself.

✓
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 391 Mark

Assertion (A): In 10²the base is 1.
Reasons (R): Base, in math, is defined as the total count of digits used to express numbers in a number system.

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 401 Mark

Assertion (A): a^m x aⁿ is equal to a^{(m + n)}.
Reasons (R): product of powers property.

✓
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 411 Mark

Assertion (A): 5³ × 5 - 1 is equal to5².
Reasons (R): product of powers property.

✓
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 421 Mark

Assertion (A): 2 × 2 × 2 × 2 × 2 is equal to 2⁵.
Reasons (R): The power of a number says how many times to use the number in a multiplication.

✓
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 431 Mark

Assertion (A): The multiplicative inverse of am is a^-m.
Reasons (R): The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as 1.

✓
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 441 Mark

Assertion (A): The multiplicative inverse of 10⁵ is 1.
Reasons (R): The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as 1.

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 451 Mark

Assertion (A): The multiplicative inverse of 10¹⁰ is 10¹⁰.
Reasons (R): The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as 1.

✓
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 461 Mark

Assertion (A): $\frac{1}{2}^{4}$ is equal to 2^-4.
Reasons (R): The power of a number says how many times to use the number in a multiplication.

✓
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 471 Mark

Assertion (A): (a^m)ⁿ is equal to a^{n - m}.
Reasons (R): power of a power property.

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 481 Mark

Assertion (A): a^m ÷ aⁿ is equal to is equal to a^{m - n}.
Reasons (R): quotient of powers property.

✓
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 491 Mark

Assertion (A): a⁰is equal to 0.
Reasons (R): zero exponent property.

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 501 Mark

Assertion (A): 3² × 3^-4 × 3⁵ is equal to 3³.
Reasons (R): product of powers property.

✓
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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