MCQ
Assertion (A) For two rational numbers $\frac{a}{b}$ and $\frac{c}{d}, \frac{a}{b}+\frac{c}{d}$ is also rational number.
Reason ( $R$ ) There are no two rational numbers whose sum is not a rational number.
  • 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

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: Numerical coefficient is defined as a unfixed number that is multiplied to a variable
Reason: The value $4 x^3+3 x^2+7$ when $\text{x}=\frac{1}{2}$ is $6$
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: $\text{Mean} = \frac{\text{sum of marks}}{\text{number of students}} $
Reason: The mean of $41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 49, 42, 52, 60$ is $50$.
Assertion (A) When the cost price is higher than the selling price in a transaction, we lose money.
Reason (R) Loss = Cost Price - Selling Price
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: fraction is a number expressed as a quotient, in which a numerator is divided by a denominator.
Reason: $\frac{4}{11}$ is a fraction.
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: Two angles are supplementary if both of them are right angles.
Reason: The sum of two right angles is $180^\circ $.
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 altitudes from two vertices of a triangle to the opposite sides are equal, then the triangle is an isosceles triangle. Reason: If two angles and one side of one triangle are equal to two angles and the corresponding side of the other triangle, then the two triangles are congruent.
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 symmetry of an object is defined as one half of the object is a mirror image of the other half
Reason: $E$ has an horizontal line of symmetry
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 measurment of angle $A$ is $160 °$ and it’s type is obtuse angle.
Reason: the angle which is greater than 90°and smaller than $180^\circ $ is known as obtuse angle.
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: $\frac{25.75}{100}$ is decimal fraction.
Reason: The value of $\frac{25.75}{100}$ is $0.2575.$
Assertion (A) $7 x-9=16$ is a equation.
Reason (R) An equation is a statement in which the values of two mathematical expressions are equal.