MCQ
Assertion (A): Rational number lying between two rational numbers a and b is $\frac{a+b}{2}$.
Reason (R): There is one rational number lying between any two rational numbers.
  • 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.
  • D
    A is false but R is true.

Answer

(c) A is true but R is false.
Explanation: There are infinitely many rational numbers between any two given rational numbers.

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: The sides of a triangle are $3\ cm, 4\ cm$ and $5\ cm.$ Its area is $9\sqrt3\text{cm}^2.$
Reason: If $2s = (a + b + c ),$ where $a , b, c$ are the sides of a triangle, then area $= \sqrt{(\text{s}–\text{a})(\text{s}–\text{b})(\text{s}–\text{c})}.$
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: $(0, 0)$ the co - ordinates of the point which divides the line segment joining $P(-3, -4)$ and $Q(6, 8)$ in the ratio $1 : 2.$
Reason: The distance between points $M(4, 5)$ and $N(-3, 8)$ is $\sqrt{58}$.
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: In $\triangle\text{ABC},$ $BC = AB$ and $B = 80^\circ $. Then, $\angle\text{A}=50^\circ$.
Reason: In a triangle, angles opposite to two equal sides 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: Volume of sphere = $\frac{4}{3}\pi\text{r}^3$ and surface area of sphere = $4\pi\text{r}^2$
Reason: If the volume of two sphere are in the ratio $27 : 8$ then the surface area are in the ratio $3 : 2.$
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: $ \Big(110\big(\frac{1}{2}\big)\Big)^\circ$is a acute angle.
Reason: $55^\circ $ is less than $90$ degrees and greater than $0$ degrees, so it is called as acute angle.
Statement-1 (A): In Fig. if ACB is a straight line, then $\angle A C D=72^{\circ}$
Statement-2 (R): If a ray stands on a line, the sum of two adjacent angles formed is 180°.
Image
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: Points $A, B$ and $C$ all lie on the circumference of a circle with centre $O$ then the value of $x$ is $49^\circ $
Reason: The angle at the centre is twice the angle at the circumference.
Statement-1 (A): In a $\triangle A B C$, if $\angle A=65^{\circ}$ and $\angle C=30^{\circ}$, then AC is the longest side of $\triangle A B C$.
Statement-2 (R) : Sum of the angles of a triangle 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: $2+\sqrt6$ is an irrational number.
Reason: Sum of a rational number and an irrational number is always an irrational 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: The sides of a triangle are in the ratio of $25 : 14 : 12$ and its perimeter is $510m.$ Then the greatest side is $250\ cm.$
Reason: Perimeter of a triangle $= a + b + c,$ where $a, b, c$ are sides of a triangle.