MCQ
Assertion (A): Whole 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.
  • 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

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

Assertion (A): Rational numbers are closed under subtraction
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): Integers are not commutative for addition
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): If $8$ men can do a piece of work in $20$ days, then in $8$ days could $20$ men do the same work Reasons (R): A direct proportion shows the direct the relation between two quantities. An inverse proportion shows inverse or indirect relation between two quantities
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 $(A) :$ Diagonals does a regular hexagon have are $9$
Reason $(R) :$ a hexagon can be defined as a polygon with six sides. The two $-$ dimensional shape has $6$ sides, $6$ vertices and $6$ angles
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 unit digit in the square of the number $166$ is $6$.
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.
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 odd $10, 100, 1000, 99$.
Reasons $(R)$: An odd number is an integer when divided by two, either leaves a remainder or the result is a fraction.
Assertion (A): 5 terms are there in the expression 5xy + 9yz + 3zx + 5x - 4y.
Reasons (R): An algebraic expression consists of a group of terms separated by operators, which are either plus signs or minus signs.
Assertion (A): Rational numbers are not associative for addition
Reason (R): The associative property states that the sum or the product of three or more numbers does not change if they are grouped in a different way.
Assertion (A): The smallest number by which the number 108 must be multiplied to obtain a perfect cube is 3.
Reasons (R): The perfect cube is the result of multiplying the same integer three times.
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 total surface area of a cylinder of base radius $r$ and height $h$ is $2 \pi r(r+h)$ Reasons $( R )$: The surface area formula is a mathematical solution to find the total area of any three-dimensional object occupied by all of its surfaces