MCQ
Assertion (A): There are three rational numbers which are their own reciprocals namely $-1,0$ and 1.
Reason (R): $\frac{b}{a}$ is called the reciprocal of $\frac{a}{b}$.
  • 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) Assertion (A) is false but Reason (R) is true.
-1 and 1 are their own reciprocals, but reciprocal of 0 is not defined. So, A is false.
Clearly, R is true.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

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 Square of the following numbers will be even $11, 111, 1111$
Reasons $(R)$: Even numbers are those numbers that can be divided into two equal groups or pairs and are exactly divisible by $2$.
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 $(A) :$ Natural numbers are closed under addition
Reason $(R) :$ A rational number is a number that is in the form of $\frac{\text{p}}{\text{q}}$ where $p$ and $q$ are integers, and $q$ is not equal to $0.$
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 $(A)$: 4 is a monomial
Reasons $(R)$: A monomial is an expression of the form $k - x^n$, where $k$ is a real number and $n$ is a positive integer.
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 $(A)$: $3$ terms are there in the expression $5 - 3xy$
Reasons $(R)$: An algebraic expression consists of a group of terms separated by operators, which are either plus signs or minus signs
Assertion (A): Integers are commutative for division
Reason (R): Rational numbers are commutative under addition and multiplication
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 $(A):$ Whole numbers are closed under addition
Reason $(R):$ A rational number is a number that is in the form of $\frac{\text{p}}{\text{q}}$ where $p$ and $q$ are integers, and $q$ is not equal to $0.$
Assertion (A): Rational numbers are not closed under multiplication
Reason (R): A rational number is a number that is in the form of $\frac{\text{p}}{\text{q}}$ where p and q are integers, and q is not equal to 0.
Assertion (A): The unit digit in the square of the number 209 is 1
Reasons (R): Units digit of a number is the digit in the one’s place of the number. i.e. it is the rightmost digit of the number.
Assertion (A): $3^3>3,(10)^3>10,\left(\frac{6}{5}\right)^3>\frac{6}{5}$
Reason (R): The cube of a rational number is always greater than the number.
Assertion (A): 300000000 is equal to 3 × 108.
Reasons (R): An exponent refers to the number of times a number is multiplied by itself.