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: The exponential form of $125$ is $5^3$.
Reason: $125 = 5 \times 5 \times 5 = 53$
- ✓
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both assertion and reason are correct and reason is correct explanation for assertion.
View full question & answer→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: The exponential form for $8 \times 8 \times 8 \times 8$ taking base as $2$ is $2^{12}$.
Reason: $\left(a^m\right)^n=a^{(m n)}$
- ✓
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both assertion and reason are correct and reason is correct explanation for assertion.
View full question & answer→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: $5^8 \div 5^9=5^8-9=5^{(-1)}$
Reason: In division base is same then subtraction of exponents
- ✓
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both assertion and reason are correct and reason is correct explanation for assertion.
View full question & answer→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: $(-1)^4=(-1)$
Reason: $(-1)$ raised to any even power is $(+1)$
- ✓
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both assertion and reason are correct and reason is correct explanation for assertion.
View full question & answer→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: If the exponent is $0$, then we get $1$ as the final result
Reason: $9^{0=1}$
- ✓
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both assertion and reason are correct and reason is correct explanation for assertion.
View full question & answer→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: The exponential form of $10000=10^4$
Reason: $10000=10 \times 10 \times 10 \times 10=10^4$
- ✓
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both assertion and reason are correct and reason is correct explanation for assertion.
View full question & answer→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 quantity representing the power to which a given number is known as exponent
Reason: The exponent is $7$ in $7^8$
- A
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- ✓
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is correct but reason is false.
View full question & answer→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: An exponent refers to the number of times a number is multiplied by itself
Reason: $0.00003$ is equal to $3 \times 10^{(-5)}$
- ✓
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both assertion and reason are correct and reason is correct explanation for assertion.
View full question & answer→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: product of powers property
Reason: $5^8 \times 5^{-7}=5^3$
- A
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- ✓
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is correct but reason is false.
View full question & answer→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: $(-5)^5=(-5) \times(-5) \times(-5) \times(-5) \times(-5)=-3125$
Reason: $(-a)^{odd ~number ~= ~negative ~number}$
- ✓
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both assertion and reason are correct and reason is correct explanation for assertion.
View full question & answer→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: $(-3)^4=(-3) \times(-3) \times(-3) \times(-3)=81$
Reason: $(-a)^{even ~number ~= ~positive ~number}$
- ✓
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both assertion and reason are correct and reason is correct explanation for assertion.
View full question & answer→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: $5^7 \times 5^8=5^7+8=5^{15}$
Reason: In multiplication if the base is same then sum of exponents
- ✓
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both assertion and reason are correct and reason is correct explanation for assertion.
View full question & answer→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: $(-7)^2=(-7) \times(-7)=49$
Reason: $(-a)^{\text {even number }=\text { negative number }}$
- A
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- ✓
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is correct but reason is false.
View full question & answer→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: The power of a number says how many times to use the number in a multiplication
Reason: $(-7)^3=-243$
- ✓
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both assertion and reason are correct and reason is correct explanation for assertion.
View full question & answer→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: The power of a number says how many times to use the number in a multiplication
Reason: $2^4 \times 2^{(-7)}+p=2^{(4-7+p)}=2^0=1$ when $p=0$
- ✓
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both assertion and reason are correct and reason is correct explanation for assertion.
View full question & answer→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: Any number can be expressed as a decimal number between $1.0$ and $10.0$ including $1.0$ multiplied by a power of $10$. Such a form of a number is called its standard form
Reason: The standard form of $5985.3$ is $5.9853 \times 10^3$
- ✓
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both assertion and reason are correct and reason is correct explanation for assertion.
View full question & answer→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: The multiplicative inverse of $7^{-2}$ is $7^2$
Reason: The multiplicative inverse of any value is the one which when multiplied by the original value gives a value equal to $1$
- ✓
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both assertion and reason are correct and reason is correct explanation for assertion.
View full question & answer→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: $4^6 \times 5^6=(4 \times 5)^6=(20)^6$
Reason: $a^m \times b^m=(a b)^m$
- ✓
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both assertion and reason are correct and reason is correct explanation for assertion.
View full question & answer→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: The value of $\left(2^2+3^2+4^2\right) 0=1$
Reason: By exponent law, any value raised to the power $0$ is equal to $1$.
- ✓
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both assertion and reason are correct and reason is correct explanation for assertion.
View full question & answer→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: product of division property
Reason: property Reason
- ✓
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both assertion and reason are correct and reason is correct explanation for assertion.
View full question & answer→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: If the exponent of a base number is one, then the value of the base remains unchanged
Reason: $9^{1=9}$
- ✓
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both assertion and reason are correct and reason is correct explanation for assertion.
View full question & answer→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: $2^2 \times 2^3=2^2+3=2^5$
Reason: $a^m \times b^n=a^m+n$
- ✓
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both assertion and reason are correct and reason is correct explanation for assertion.
View full question & answer→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 quantity representing the power to which a given number is known as exponent
Reason: $6$ is the exponent in $2^6$
- ✓
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both assertion and reason are correct and reason is correct explanation for assertion.
View full question & answer→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: $100^0+20^0+5^0$ is equal to $3$
Reason: By exponent law we know: $a^0 = 1$
- ✓
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both assertion and reason are correct and reason is correct explanation for assertion.
View full question & answer→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: $8^6 ÷ 8^5 = 8^1$
Reason: $a^m \div a^n=a^{m+n}$
- A
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- ✓
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is correct but reason is false.
View full question & answer→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: $(-1)^3=(-1)$
Reason: $(-1)$ raised to any odd power is $(-1)$
- ✓
Both assertion and reason are correct and reason is correct explanation for assertion.
- B
Both assertion and reason are correct but reason is correct explanation for assertion.
- C
Assertion is correct but reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both assertion and reason are correct and reason is correct explanation for assertion.
View full question & answer→