Statement-1 (A): There are two rational numbers whose sum and pro… - Vidyadip

MCQ

Statement-1 (A): There are two rational numbers whose sum and product both are rationals.
Statement-2 (R): There are numbers which cannot be written in the form $\frac{p}{q}, q \neq 0, p, q$ both are integers.

A
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
✓
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
C
Statement-1 is true, Statement-2 is false.
D
Statement-1 is true, Statement-2 is false.

✓

Answer

Correct option: B.

Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.

b

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

Explore more

More "Assertion (A) & Reason (B) MCQ" from Number System→Number System — all question types→Maths STD 9 question papers→CBSE Board STD 9 question papers→CBSE Board question paper generator→

Similar questions

Statement-1 $(A)$ : The product of $\left(x^2+4 y^2+z^2+2 x y+x z-2 y z\right)$ and $(-z+x-2 y)$ is $x^3-8 y^3-z^3-6 x y z$
Statement-2 $(R): \quad a^3+b^3+c^3-3 a b c=(a+b+c)\left(a^2+b^2+c^2-a b-b c-c a\right)$

Statement-1 (A): In Fig. $O$ is the centre of a circle and $\angle A O C=140^{\circ}$, then $\angle A B C=110^{\circ}$.
Statement-2 (R): Angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.

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 perimeter of a triangle with vertices $(0, 4), (0, 0)$ and $(3, 0)$ is $11$.
Reason: The area of a triangle with vertices $A(3, 0), B(7, 0)$ and $C(8, 4)$ 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: Given a circle of radius r and with centre $O. A$ point $P$ lies in a plane such that $OP > r$ then point $P$ lies on the exterior of the circle.
Reason: The region between an arc and the two radii, joining the centre of the end points of the arc, is called a sector.

Statement-1 (A): The angles subtended by a chord at any two points of a circle are equal.
Statement-2 (R): Angles in the same segment of a circle are equal.

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 supplement of the angle $(120 + a - 2b)^\circ $ is $(60 - a + 2b)^\circ $.
Reason: If the sum of two angle is $180^\circ $ then the angle are supplementary.

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: $D$ is a point on side $BC$ of $\triangle\text{ABC}$ such that $AD = AC$ then $AB < AD$.
Reason: In any triangle, the side opposite to the larger (greater) angle is smaller.

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: $\frac{7}{8}+\frac{9}{8}=\frac{16}{8}$
Reason: $\frac{\text{p}}{\text{q}}+\frac{\text{r}}{\text{q}}=\text{p}+\frac{\text{r}}{\text{q}}$

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: Angle in the same segment are equal.
Reason: Angle in a semi circle is a tight 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: An inscribed angle is the angle formed between two chords when they meet on the boundary of the circle.
Reason: Angles formed by the same arc on the circumference of the circle is always unequal.