Explore topic-wise InterviewSolutions in Current Affairs.

Using only ruler and compasses, construct a $\Delta$ABC in which BC = 6cm, $\angle$ABC = 120${}^{\circ }$ and AB = 3.5 cm. Now, with BC as diameter, draw a circle. Find a point P on the circumference of the circle such that it is equidistant from AB and BC. Then the measure $\angle$BCP is

In $△ABC,$ sin C = $\frac{3}{5}.$ Match the given trigonometric ratios with their values.

In $△ABC$, $sin\left(\frac{A+B}{2}\right)$ is equal to

If $A=\left[\begin{array}{cc}3& x\\ 0& 1\end{array}\right]andB=\left[\begin{array}{cc}9& 16\\ 0& -y\end{array}\right],findxandywhen{A}^2=B$

If the equation $x^2+2(k+2)x+9=0$ has equal roots, then values of k are -

Draw a pair of tangents of radius 3cm that are inclined to each other at an angle of 50 degrees

A chord of length 8 cm is drawn at a distance of 3 cm from the centre of a circle. Calculate the radius of the circle.

A container in shape of a cylinder can store 7 litres of water. If the curved surface area of the cylinder is $1000c{m}^2$. What is the height of the cylinder?

Find the area of copper sheet required to make a bucket of height 8 cm and radii 9 cm and 3 cm.

Find the value of

$\frac{1+sin{30}^{\circ }}{cos{30}^{\circ }}+\frac{cos{30}^{\circ }}{1+sin{30}^{\circ }}$

Which of the lines represents the perpendicular distance from point A (2, 3) to line l, x =4

Coordinates of a point on the x-axis are ________

If A(-2,1), B(9,0), C(4,b) and D(1,b) are the vertices of parallelogram. Then find the value of a and b and the length of sides

For 2 sets A and B, which of the following is/are true?

Relation R in set A = {1, 2, 3 . . . . 13, 14} is defined as R = {(x, y): 3x - y = 0}. Write the relation in roster form.

There are 12 candies which Ram and Hari shared among themselves. If Ram gets x candies, the no. of candies that Hari gets is

Express each of the following in terms of angles between $0^{\circ }and{45}^{\circ }:\left(i\right)sin{59}^{\circ }+tan{63}^{\circ }\left(ii\right)cosec{68}^{\circ }+cot{72}^{\circ }\left(iii\right)cos{75}^{\circ }+sec{67}^{\circ }$

Find coordinates of the point of trisection of the line segment joining the points

A(4,8) and B(-2,4).

It is given that $△ABC\sim △PQR$ and $\angle B=\angle R={60}^{\circ }$. Find $\angle RPQ$.

The number 54 is divided into two parts such that sum of 10 times the first part and 22 times the second part is 780.
Find the part which is greater in value.

A chord $PQ$ of a circle is parallel to the tangent drawn at a point $R$ of the circle. Prove that $R$ bisects the arc $PRQ$.

Find in each case, the remainder when
(i) $x^4-3x^2+2x+1$ is divided by x - 1
(ii) $x^3+3x^2-12x+4isdividedbyx-2$
(iii) $x^4+1isdividedbyx+1.$

What number must be subtracted from each of the numbers 23, 30, 57 & 78 so that the remainders are in proportion?

The sum of infinite terms of the following series

1 + $\frac{4}{5}$ + $\frac{7}{5^2}$ + $\frac{10}{5^3}$ + ...........∞ will be

If A + B = 90⁰, then, cosA.cosecB - cosA.sinB =

How many shots each having diameter of $3cm$ can be made from a cuboidal lead solid of dimensions $9cm\times 11cm\times 12cm$ ?

The age of the employees in a startup company is shown below. Find the average age of the employees.

$\begin{array}{cc}\text{Age}& \text{No. of Employees}\\ 18-26& 30\\ 26-34& 70\\ 34-42& 50\\ 42-50& 30\\ 50-58& 10\\ 58-66& 10\end{array}$ [3 MARKS]

Question 1
Show that the points A(1, 2), B(-1, -16) and C(0, -7) lie on the graph of the linear equation:
y = 9x - 7.

For the following frequenc distribution:

If the mode and the median are 12.9 and 14.44 respectively, then the mean is

If sin A= ²/₃ then cos A is

Two third of a consignment was sold at a profit of 5% and the remainder at a loss of 2%. If the total profit was Rs 400. Find the value of the consignment.

Following table shows the marks of 120 students at an examination. Draw an ogive for the table: estimate Inter-quartile range.

All edges of a square pyramid are of equal lengths. If the length of the base edge is $20cm$, what is the lateral surface area?

For a pair of linear equation $a_1$=12, $b_1$= 2, $c_1$= 6 and $a_2$=24, $b_2$=4, $c_2$=7 ; the linear equation has

Represent [B’ $\cup$ (B’ – A)]’ using a Venn diagram

The probability of taking out a blue ball from a bag consisting of 3 balls: 1 green, 1 blue and 1 white is