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Assertion (A): A man purchase 600 shares of face value 40 at par. It a dividend of 1680 was received at the end of the year, the rate of dividend is 7%
Reason (R): If annual income = number of shares rate of dividend face value of one share.
Then, Rate of dividend
$=\left(\frac{\text { annual income }}{\text { investment }} \times 100\right) \%$
Assertion (A) : The reflection of the point $(-4,5)$ in the origin is $(4,-5)$.
Reason (R) : Points of the type $(x, 0)$ are invariant under the reflection in $y$-axis.
Assertion (A) : We can always estimate median and mode of a data from the frequency polygon (ogive).
Reason (R) : The observation which has highest frequency in a data is called mode of the data.
Assertion (A) : At some time of a day, if the length of the shadow of a tower is equal to its height, then the sun's elevation is $45^{\circ}$.
Reason (R) : The angle which the line of sight makes with the horizontal line passing through the eye of the observer, when the object is above the observer, is called the angle of elevation.
Assertion : If $A$ and $B$ are square matrices of order 2 , then $A B=B A$ is not always true.
Reason : Matrix multiplication is associative.
Assertion (A) : The maximum volume of a cone that can be carved out of a solid hemisphere of radius $r$ is $\frac{1}{3} \pi r^3$.
Reason (R): For a cone of radius $r$ and height $h$, curved surface area $=\pi r \sqrt{r^2+h^2}$.
Assertion : The sum of the first hundred natural numbers, divisible by 5 , is 25250 .
Reason : The sum of first $n$ terms of an A.P. is given by $\frac{n}{2}(a+l)$, where, $l$ is the last term.
Assertion (A) : If $a x^2-2 x+2=0$ has no real root, then $a>\frac{1}{2}$
Reason (R) : A quadratic equation will have real root, if discriminant $D \leq 0$.
Assertion (A) : In a size transformation, if the scale factor is $>1$, then the transformation is an enlargement.
Reason (R) : In a size transformation, a given figure is either enlarged or reduced.
Assertion (A) : The line represented by the equation $2 y=-3 x$ passes through the origin.
Reason (R) : Any equation of the form $y=m x+c, c \neq 0$, passes through the origin.