MCQ
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.
  • 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

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): $\frac{2}{3} \times\left(\frac{4}{5}+\frac{6}{7}\right)=\frac{2}{3} \times \frac{4}{5}+\frac{2}{3} \times \frac{6}{7}$.
Reason (R): Multiplication is distributive over addition for rational numbers.
Assertion (A): $C$ does a work in 6 days, $B$ does the same work in 2 days and $A$ does it in 1 day.
Reason (R): $A$ is twice as fast as $B$ and $B$ is thrice as fast as $C$.
Assertion (A): 3m + 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.
Assertion (A): Ashish sold two watches for the same price, gaining $15 \%$ on one and losing $15 \%$ on the other. Thus, he neither gains nor loses in the entire deal.
Reason (R): When two articles purchased for ₹ $x$ each are sold, one at a gain of $p \%$ and the other at a loss of $p \%$ then there is no net gain or loss.
Assertion (A): If 102 = 100, then the square root of 100 is 10
Reasons (R): The square root is the number that we need to multiply by itself to get the original number.
Assertion (A): The cube of an odd natural number is odd.
Reasons (R): A cube number is a number multiplied by itself 3 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:Observe the following bar graph and consider it as reasons for the following assertions:

Assertion (A): Salary of employees and others is the expenditure same
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: Observe the following bar graph and consider it as reasons for the following assertions:
Assertion (A): The sum of the expenditures (in thousands of rupees) on travelling allowance and rent is $200$
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: Observe the following histograma nd consider it as reasons for the following assertions:
Assertion (A): class intervals $15 - 20$ have the number of students $200$
Assertion (A): The perimeter of the figure is 5cm.

Reasons (R): A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.