Explore topic-wise InterviewSolutions in Current Affairs.

x- coordinate is negative and y-coordinate is positive in ______.

A survey was conducted to find out which brands of computer mouse different people used. The data collected from 100 people are as follows:

$\begin{array}{cc}\text{Brand}& \text{Frequency}\\ \text{Logitech}& 32\\ \text{Microsoft}& 26\\ \text{Dell}& 23\\ \text{Others}& 19\end{array}$

Find the probability that a person
(i) uses Dell or Microsoft
(ii) does not use either Logitech, Dell or Microsoft. [3 MARKS]

What is the maximum possible value of the probability of an event?

The mean of 100 observations is 50. If one of the observations 50 is replaced by 150, the resulting mean will be
(a) 50.5
(b) 51
(c) 51.5
(d) 52

Rationalize the denominators of the following:

$\frac{1}{(\sqrt{7}-\sqrt{6})}$ [4 MARKS]

The angles of a triangle are in the ratio 1:2:3, find the measure of each angle of the triangle

The Coefficient of $x^{9}in\left(x{-}^{21}{C}_0\right)\left(x{-}^{21}{C}_1\right)\left(x{-}^{21}{C}_2\right)......\left(x{-}^{21}{C}_{10}\right)$ is

5 observations 1, 2, x , 5 , 6 are written in ascending order. The median of data is 3. Find the value of x.

What is the meaning of linear polynomial?

Question 5
Show that one and only one out of n, n + 4, n + 8, n + 12 and n + 16 is divisible by 5, where n is any positive integer

Match the following
$\begin{array}{cccc}& ListI& & ListII\\ A.& \frac{1+cosA-sinA}{1+cosA+sinA}& i.& \frac{1}{cosecA}+\frac{1}{secA}\\ B.& (1+\frac{1}{ta{n}^{2}A})(1+\frac{1}{co{t}^{2}A})& II.& secA-tanA\\ C.& \frac{cosA}{1-tanA}+\frac{sinA}{1-cotA}& iii.& \frac{1}{co{s}^{2}A-cos4A}\end{array}$

If the mean of the following data is 20.2, find the value of p.
$\begin{array}{cccccc}\text{Variable}\left(x_i\right)& 10& 15& 20& 25& 30\\ \text{Frequency}\left(f_i\right)& 6& 8& p& 10& 6\end{array}$

Find the angle whose;

i) Complement is one sixth of its supplement.

ii) Supplement is four times its complement.

Write the reciprocal of $5+\sqrt{2}$.

A, B, C, D and E are seated around a circular table facing the centre. Who is to the immediate right of B?

Statement I: D is seated between A and E.

Statement II: C is seated between B and E.

Class mark of a class interval U-L is

On what sum, the C.I. for 3 years at 10% p.a. compounded annually, will be Rs 1655?

A ladder of length $16$ units is resting against a wall of height $8$ units. The angle made by the leg of the ladder with the ground is

In the adjoining figure, WXYZ is a parallelogram. The values of a and b is:

Two supplementary angles are in the ratio 2 : 3. Find the angles.

On a common hypotenuse AB, two right triangles ACB and ADB are situated on opposite sides, Prove that $\angle BAC=\angle BDC.$

Which one of the following can't be the square of a natural number ?

____________ is the equation of x-axis.

In the given figure, OPQR is a rhombus three of whose vertices on the circle with centre at O. If the area of the rhombus be $32\sqrt{3}$sq-cm, find the radius of the circle.

If 2a + 3b = 8 then express $3b^2–2b+3$ in terms of a.

The exterior angle of a regular polygon is one – third of its interior angle. How many sides has the polygon?

In the given figure, $\angle ABC={90}^{\circ }$ and $BM$ is a median, $AB=8cm$ and $BC=6cm$. Then, the length $BM$ is equal to

What kind of wealth is machinery or fixed assets?

Fill in the blank with an appropriate relative pronoun.

Charlie liked a girl _____ name was Grace.

In the given figure, AB = BC = CD and $\angle$ ABC = ${132}^o$. Calculate :

(i) $\angle$ AEB,

(ii) $\angle$ AED,

(iii) $\angle$ COD.

The set of real values of x satisfying the equation
${|x-1|}^{lo{g}_3\left(x^2\right)-2lo{g}_x\left(9\right)}=(x-1{)}^7$
is

Number of terms in the expression $a^2+bc\times d$ is __.

Use the following information to answer the next question.

The coordinates of the vertices of the given triangle ABC are

In a grouped frequency distribution what does the upper class limit mean?

In the adjoining figure, $ABCD$ is a ||gm in which $E$ and $F$ are the midpoints of $AB$ and $CD$ respectively. If $GH$ is a line segment that cuts $AD,EF$ and $BC$ at $G,P$and $H$ respectively, prove that $GP=PH$.

In a triangle with sides a, b and c, let s be the semi perimeter and p be the perimeter. Find the value of $\frac{p}{s}$ ___.

Complete the following sentences:

(i) Every point on the number line corresponds to a ....... number which may be either be ...... or ....

(ii) The decimal form of an irrational number is neither ... nor ...

(iii) The decimal representation of a rational number is either ... number or ... number.

(iv) Every real number is either ... number or ... number

The equation 2x - 3y = 12 can be expressed with x as independent variabl

Question 14
P and Q are points on opposite sides AD and BC of a parallelogram ABCD such that PQ passes through the point of intersection O is its diagonals AC and BD. Show that PQ is bisected at 0.

Thinking Process

Firstly, prove that $\Delta ODPand\Delta OBQ$ are congruent by ASA rule. Further show the required result by CPCT rule.

In a circle, two parallel chords of lengths 6 cm and 8 cm are 6 cm apart. Then the distance of chord of length 6 cm from the centre is

In the given figure, a circle with centre O has diameter 16 cm. If PQ = 2 cm, then the measure of RS is

$E$ and $F$ are the mid points of sides $AB$ and $DC$ of the parallelogram $ABCD$. If the area of the parallelogram $EBFD$ is $20c{m}^2$, then the area of the $△BCE$ is ___ $c{m}^2$

Which of the following equations is linear equation in two variables?