MCQ
Statement-1 (A): $-5,-\frac{5}{2}, 0, \frac{5}{2}, \ldots .$. is an A.P.
Statement-2 (R): The terms of an A.P. cannot have both positive and negative rational numbers.
  • A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
  • B
    Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
  • Statement-1 is true, Statement-2 is false.
  • D
    Statement-1 is false, Statement-2 is true.

Answer

Correct option: C.
Statement-1 is true, Statement-2 is false.
C

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

Statement-1 (A): HCF and LCM of two natural numbers are 25 and 815 respectively.
Statement-2 (R): LCM of two natural numbers is always divisible by their HCF.
Assertion $(A):$ Two identical solid cubes of side a are joined end to end. Then the total surface area of the resulting cuboid is $10 a^2.$
Reason $(R):$ The total surface area of a cube having side $a = 6 a^2.$
Statement-1 (A): The sequence whose $n^{\text {th }}$ term is given by $a_n=7 n-5$ is an A.P. with common difference 7.
Statement-2 (R): A sequence is an A.P. with common difference ' $A$ ' if and only if its $n^{\text {th }}$ terms is of the form $a_n=A n+B$.
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 graph of linear polynomial intersect the $x -$ axis at point.
Reason : For polynomial $P(x)$ of degree n the graph of $y = P(x)$ intersect $x -$ axis at most points.
Assertion (A): Distance of point (a, b) from origin is $\sqrt{b^2-a^2}$
Reason (R): Distance of point (x, y) from origin is $\sqrt{(x-0)^2+(y-0)^2}$
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 : $0$ is additive identity.
Reason : $\frac{1}{2}+0=\frac{1}{2}.$
Statement-1 $(A):  \operatorname{If} L C M(60,72)=360$, then $\operatorname{HCF}(60,72)=12$.
Statement-2 $(R): \operatorname{HCF}(a, b) \times \operatorname{LCM}(a, b)=a+b$.
Directions : In the following questions, a statement of assertion $(A)$ is followed by a statement of reason $(R)$.Mark the correct choice as:
Assertion : If the areas of three adjacent faces of a cuboid are $x, y, z$ respectively then the volume of the cuboid is $\sqrt{\text{xyz}}$
Reason : Volume of a cuboid whose edges are $l, b$ and $h$ is lbh units.
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 : $(A)$ A two $-$ digit number is obtained by either multiplying sum of the digits by $8$ and adding $1$ or by multiplying the difference of digits by $13$ and adding $2.$ The number is $41.$
Reason : $(R)$ The linear equations used are $7x - 2y +1 = 0$ and $12x - 23y + 2 = 0$.
Statement A (Assertion) : In two similar triangles $A B C$ and $P Q R$, if their corresponding altitudes $A D$ and $P S$ are in the ratio $4: 9$, then the ratio of the areas of $\triangle A B C$ and $\triangle P Q R$ is $16: 81$.
Statement R (Reason) : The ratio of the areas of two similar triangles is equal to the ratio of their corresponding altitudes.