Explore topic-wise InterviewSolutions in Current Affairs.

Find the median of the following data distribution.
$\begin{array}{ccccccccc}\text{Marks obtained}& 20& 29& 28& 33& 42& 38& 43& 25\\ \text{Number of students}& 6& 28& 24& 15& 2& 4& 1& 20\end{array}$

In $△$PQR, PQ = 12 cm and PR = 13 cm. $\angle Q={90}^{\circ }$. Find:
tan P - cot R

A person travelling in an auto found that the fare of the journey is partially fixed and partially varying with the kilometers travelled.The equation x+10y = 200, represents the situation if he travels 10kms. Find out the fixed component in the equation.

In the given figure, ABC is a triangle. DE is parallel to and $\frac{AD}{DB}=\frac{3}{2}$

(i) Determine the ratio $\frac{AD}{AB}$.

(ii) What is the ratio of the areas of $\Delta DEF$ and $\Delta BFC?$

Two poles of height a meters and b meters are p meters apart. Prove that the height of the point of intersection of the lines joining the top of each pole to the foot of the opposite pole is given by $\frac{ab}{a+b}$ meters.

A cuboid is formed by joining two cubes of volume $216c{m}^3$. Total surface area of the cuboid will be .

If $x=a\text{sec}\theta +b\text{tan}\theta$ and $y=a\text{tan}\theta +b\text{sec}\theta$, then $\frac{x^2-y^2}{a^2-b^2}=$ ___

If $tan\theta +sin\theta =m$ and $tan\theta -sin\theta =n$

Show that $m^2-n^2=4\sqrt{mn}$ [4 MARKS]

During a practice match, a softball pitcher throws a ball whose height can be modelled by the equation $h=-16t^2+24t+1$, where $h$ = height in feet and $t$ = time in seconds. How long does it take for the ball to reach a height of 6 feet?

Two unbiased coins are tossed simultaneously. Find the probability of getting no heads.

If (x-2) and (x-¹/₂) are the factors of the polynomial qx²+5x+p, then find the relation between p and q.

The mode is the

To find the side of the required square, we need to find the mean proportional of ___________ of the rectangle given.

AB is a line segment & M is its mid- point. Semi- circles are drawn with AM, MB & AB as diameters on the same side of the line AB. A circle C (o, r) is drawn so that it touches all the three semicircles. Prove that r = 1/6 AB

In $\Delta LMNand\Delta PQR,\frac{LN}{QP}=\frac{MN}{QR}.$ Then, these triangles will be similar if:

Given that $y=\frac{(cx+d)}{b}\text{,where}b\ne 0.$

$\text{If}ax+by+c=0\text{, where}(a+c)\ne 0$,
then what is the value of $x$ ?

The volume of a sphere is 38808 ${cm}^3$. Find its radius?

Draw two concentric circles of radii 3 cm and 5 cm. Taking a point on the outer circle, construct the pair of tangents to the inner circle.

Draw a circle of radius 3 cm. Take two points P and Q on one of its diameters extended on both sides, each at a distance of 7 cm on opposite sides of its centre. Draw tangents to the circle from these two points P and Q.

If $\alpha$ and $\beta$ are the zeros of the polynomial $2x^2+7x+5$, write the value of $\alpha +\beta +\alpha \beta .$

(i) Find the value of k for which x=1 is a root of the equation $x^2+kx+3=0$. Also, find the other root.
(ii) Find the values of a and b for which $x=\frac{3}{4}$ and x=-2 are the roots of the equations $a{x}^2+bx-6=0$.

Which term fo the AP 72, 68, 64, 60, ... is 0?

Find the two. Consecutive. Positive integers , such of squares is 365

The line segment joining A(2,3) and B(6, -5) is intersected by x – axis at a point K. Write down the ordinate of the point K. Hence, find the ratio in which K divides AB.

A boy has 20 rupees in his pocket.He have to buy 20 things with his 20 rupees. He went to a shop for buying cups ₹3 each, glasses ₹1 each and spoons 25 paise each. How many things he could from his 20 rupees so that he would have 20 things.

The angle of depression of the front end of a ship as seen from the top of 120 m high light house is 60${}^{\circ }$. How far is the ship from the light house?

Solve

$\frac{2}{x}$ + $\frac{3}{y}$ = 13

$\frac{5}{x}$ - $\frac{4}{y}$ = -2

Find the value of

$\frac{1-{\tan }^2{30}^{\circ }}{1+{\tan }^2{30}^{\circ }}$

A circular ground of radius 50 m has to be covered with a waterproof sheet. The same amount of waterproof sheet is also used for making a conical tent. If the base area of the tent is 625 $\pi m^2$, then the height of the tent is____$cm$.

In the tossing of two coins, how many outcomes does the event "Getting at least one head" have?

To prove -

(CosecA/CosecA-1)+(CosecA/CosecA+1)=2secA

The sum of two digit numberand the number obtained by reversing the digit is 66. if the digits of the number differ by 2 find the number .how many such numbers are there?

What is the function of the underlined preposition?
Draw a circle on the paper given to you by your teacher.

In the figure P , Q and R are the points where the incircle of $△ABC$ touches the sides :

Using the information given , $\angle QRP$ = ____

In elimination method _____________ is an important condition

Which term of the sequence 4, 9 , 14, 19, ...... is 124 ?

When x² - 2x + k divides the polynomial x⁴ - 6x³ + 16x² - 25x + 10, the remainder is (x + a) . The value of a is __________

The locus of point equidistant from three vertices of a triangle is……………

If asinø+bcosø=c then prove that acosø-bsinø=(a²+b²-c²)^-1

The height of a water tank is 7m.In this 5,50,000 litres of water is filled then find the diameter of this tank

If $A=\left[\begin{array}{cc}1& 3\\ 2& 4\\ 0& 6\end{array}\right]$, then find the transpose of A.