Explore topic-wise InterviewSolutions in Current Affairs.

In a $\Delta ABC,$ E and F are the mid-points of AC and AB respectively. The altitude AP to BC intersects FE at Q. Prove that AQ = QP.

In a quadrilateral ABCD, bisectors of A and B intersect at O such that $\angle AOB={75}^{\circ }$, then write the value $\angle C+\angle D$.

A solid cylinder has total surface area of 462 $c{m}^2$. Its curved surface area is one-third of its total surface area. Find the radius and height of the cylinder.

In the figure, O is the centre of the circle. Find $\angle CBD$.

Prove that the angle in a segment greater than a semi-circle is less than a right angle.

The cost of cutting grass in a field is Rs5/${cm}^2$.The field is in the shape of a rhombus and one of its side and diagonal is 8cm and 10 cm each.Find the total cost of cutting the grass. [4 MARKS]

Bisector AD of $\angle BAC$ of $\Delta ABC$ passes through the centre O of the circumcircle of $\Delta ABC$. Prove that AB = AC. [2 MARKS]

The degree of the polynomial $4x^4+0x^3+0x^5+5x+7$ is

A) 4
B) 5
C) 3
D) 7

Assertion: The point (-5,0) lies on y-axis and (0,-4) on x-axis.
Reason: Every point on the x-axis and every point on the y-axis has zero distance from y-axis.
Which of the following is correct?

If the volume of a sphere is equal to the volume of the hemisphere, then the ratio of the radius of the sphere to the radius of the hemisphere is .

Which of the following is a pair of supplementary angles?

how many years it would take to spend Avogadro's number of Rupees with the rate of 10 lakh rupees per second?

Choose the correct answer in each of the following questions:
If $\overline{x}$ is the mean of $x_1,x_2,x_y,\dots x_n$ then ${\sum }_{i=1}^n(x_i-\overline{x})=?$
(a) -1
(b) 0
(c) 1
(d) n-1

The simplest form of $0.3\overline{2}$ is

(a)$\frac{16}{45}$

(b)$\frac{32}{99}$

(c)$\frac{29}{90}$

(d) none of these

Two cones have their heights in the ratio 1 : 3 and the radii of their bases in the ratio 3:1.Show that their volumes are in the ratio 3 : 1.

In the given figure, if the value of $\sin \theta$ is $\frac{a}{b}$, find the value of $tan\theta$.

If one angle of a triangle is equal to the sum of the other two,show that the triangle is a right triangle.

Factorise
$x^9-y^9$

An irrational number between $\frac{1}{7}$ $\frac{2}{7}$ is

(a)$\frac{1}{2}(\frac{1}{7}+\frac{2}{7})$

(b)$(\frac{1}{7}\times \frac{2}{7})$

(c)$\sqrt{\frac{1}{7}\times \frac{2}{7}}$

(d)none of these

If the measures of the internal angles of a quadrilateral are in the ratio 2:4:5:7, then what is the difference between the measures of the greatest and the least angle?

Using the remainder theorem, find the remainder, when p(x) is divided by g(x), where
$\left(px\right)=6x^3+13x^2+3,g\left(x\right)=3x+2$

What is definition of line?

The vectors b and c are in the direction of north-east and north-west respectively and $|b|=|c|=4$. The magnitude and direction of the vector d = c - b, are

What is the sum of the measures of the angles of a convex quadrilateral? Will this property hold if the quadrilateral is not convex? (Make a non-convex quadrilateral and try!)

$s=ut+\frac{1}{2}a{t}^2$ , make “a” as subject of the formula and find the coefficient of $\frac{1}{t}$.

If a sheet measuring 1m² costs Rs 15. The cost of sheet required for making a cuboidal box of dimension 5 m × 6.5m × 6 m is

What do you call a circle of diameter 2 units?

How many circles can be drawn circumscribing a given triangle?

Express $0.8+0.\overline{7}+0.4\overline{3}$ in the form $\frac{p}{q},$ where p and q are integers and $q\ne 0$.

Given that y = -6x + 1 and -3 < x < $\frac{2}{3}$. Then y lies in which of the following intervals.

A solid iron cuboidal block of dimensions $4.4m\times 2.6m\times 1m$ is recasted into a hollow cylindrical pipe of internal radius $30cm$ and thickness $5cm$. The length of the pipe is ________.

Is 3x=y+7 have infinite many solutions why?

The sides of a rectangle are in the ratio 7:3. If its area is 7581 m², find its perimeter.

In a triangle, the sides are given as 11 cm, 12 cm and 13 cm. Find the length of the altitude corresponding to the side having 12 cm.

A 2 m wide path is built along the border and inside a square garden of side 11 m. The area of the path is_____.

Construct a quadrilateral ABCD of which AB = 3 cm, BC = 5 cm, AC = 4 cm, AD = 5 cm, BD = 5 cm. Then construct a triangle of area equal to the area of ABCD. Find the dimensions of the triangle.

How many tangents can be drawn to a circle?

Factorise $27x^3+y^3+z^3-9xyz$ [2 MARKS]

The lengths of a triangle are $6cm,8cm$ and $10cm$. Then the length of perpendicular from the opposite vertex to the side whose length is $8cm$ is:

Write the coordinates of a point which is at a distance of 3 units from the x-axis and 7 units from the y-axis.