MCQ
Assertion (A) : In a histogram, there being no gap between any two successive rectangles.
Reason (R) : A histogram is a graphical representation of a frequency distribution in continuous form.
  • A
    A is true, R is false.
  • B
    A is false, R is true.
  • Both A and R are true, and R is the correct reason for A .
  • D
    Both A and R are true, and R is incorrect reason for A .

Answer

Correct option: C.
Both A and R are true, and R is the correct reason for A .
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

Assertion : Let $a: b$ be the duplicate ratio of $a+c$ and $b+c$. Then $b$ is the third proportion between $a$ and $c$.
Reason : If $y$ is the third proportion between $x$ and $z$, then $\frac{x}{y}-\frac{y}{z}$.
Assertion (A): Two congruent triangles are similar but two similar triangles need not be congruent.
Reason (R): The areas of two similar triangles are proportional to their corresponding sides.
Assertion (A) : If $(y-2)$ is a factor of $p(y)=y^3-m x-12$, then the value of $m$ is -1 .
Reason (R) : If $(x+a)$ is a factor of $p(x)$, then $p(-a)=0$.
Assertion (A) : If $\frac{x}{y}=\frac{a}{b}$, then $\frac{x+a}{y+b}=\frac{x-a}{y-b}$
Reason (R) : If $\frac{a}{b}=\frac{c}{d}$, then using componendo and dividendo, we get $\frac{a+b}{a-b}=\frac{c+d}{c-d}$.
Assertion (A): A die is thrown once and the probability of getting an even number is $\frac{2}{3}$.
Reason (R): The sample space for even numbers on a die is $\{2,4,6\}$
Assertion (A) : From a point $\mathrm{P}, 10 \mathrm{~cm}$ away from the centre of a circle, a tangent PT of length 8 cm is drawn, then the radius of the circle is 5 cm .
Reason (R) : A line drawn through the end of a radius and perpendicular to it is a tangent to the circle
Assertion (A) : Reflection of the point $(-2,4)$ in the $x$-axis is $(2,-4)$.
Reason (R) : Reflection of the point $(a, b)$ in the $x$-axis is $(a,-b)$.
Assertion (A) : If $\frac{a}{b}=\frac{c}{d}=m$, then $\frac{a+c}{b+d}=m$.
Reason (R) : If for four numbers $a, b, c, d, a: b=c: d$, then $a b=c d$.
Assertion (A) : If $x=2 \sin ^2 \mathrm{~A}, y=2 \cos ^2 \mathrm{~A}+1$, then the value of $x+y$ is 3 .
Reason (R) : For an acute angle, $\theta, \sin ^2 \theta+\cos ^2 \theta=1$.
Assertion (A) : Points $(1,7),(4,2),(-1,-1)$ and $(-4,0)$ are the vertices of a square.
Reason (R) : If all the sides of a quadrilateral are equal and the diagonals are also equal, then the quadrilateral is a square.