Explore topic-wise InterviewSolutions in Current Affairs.

If d is the diagonal of the square, the area of the square is __ ${cm}^2$. (d = 8 cm).

Ram has to reach office in 2 hours. He travels 2 hours at a speed of 80 kmph to reach office on time. Now, he is already late by 1 hour 5 minutes. Calculate the speed with which he has to travel, to reach office on time.

If $\frac{p}{q}$ is a rational number with terminating decimal expansion where $p$ and $q$ are coprimes, then $q$ can be represented as:
(Here, n and m are non-negative integers.)

In the given figure, there are two concentric circles with center O such that AP is tangent to the bigger circle and AB is tangent to the smaller circle. If $\angle APB=\angle ABP={30}^{\circ },OA=3$ cm and OP = 5 cm, then, radius of the smaller circle is

If $x+x^{-1}=\sqrt{5}$, evaluate $x^2+x^{-2}$ and $x^4+x^{-4}$ [2 MARKS]

In a race between Achilles and tortoise, people assigned probability to Achilles winning and tortoise winning. These probability pairs are listed below. How many of these pairs satisfy the axiomatic approach, assuming only two possible results are tortoise wins and Achilles wins.

If the mean of $x_1$ and $x_2$ is $M_1$ and that of $x_1,x_2,x_3,x_4$ is $M_2$, then the mean of $a{x}_1,a{x}_2,\frac{x_3}{a},\frac{x_4}{a}$ is

If the x-intercept and y-intercept of a straight line are 3/2 and 4/3 respectively, then find the equation of the straight line.

In this figure, ABCD is a trapezium in which AB || DC and AB = 3DC. Determine the ratio of the areas of $△$ AOB and $△$COD.

Is 2/root3 is rational or not.

If p,q & r are the zeroes of a cubic polynomial $a{x}^3+b{x}^2+cx+d$, then what will be p+q+r?

Determine graphically the vertices of the triangle, the equations of whose sides are given below:

(i) 2y - x = 8, 5y-x = 14 and y - 2x = 1

(ii) y = x,y = 0 and 3x + 3y = 10

What is the basic principle used to prove the similarity of the constructed triangles?

Question 10
A guy wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other end. How far from the base of the pole should the stake be driven so that the wire will be taut?

Solve the following quadratic equation by factorization.
(2x+3) (3x-7) = 0

The sum of a number and its positive square root is $\frac{6}{25}$. Find the number.

The short and long hands of a clock are 4 cm and 6 cm long respectively. Find the sum of distances travelled by their tips in 2 days.

[ Take $\pi =3.14$]

The inside perimeter of a running track (shown) is 400 m. The length of each of the straight portion is 90 m and the ends are semi-circles. If the track is everywhere 14 m wide, find the area of the track. Also, find the length of the outer running track.

In the adjoining figure, if $BC=a,AC=b,AB=c$ and $\angle CAB={120}^{\circ }$, then the correct relation is

Find the coordinates of a point A, where AB is a diameter of a circle with centre C(2, -3) and the other end of the diameter is B(1, 4).

Three circles touch each other externally. The distance between their centres is 5 cm, 6 cm and 7 cm. Find the radii of the circles.

Prove that (cosecA-sinA)(secA-cosA)=1/tanA+cotA

If ₹ 1750 amount to ₹ 1933.75 in a time period of 3 years. Then what is the rate of interest?

$Amodelofshipismadetoascaleof1:80.Find:\left(i\right)Thelengthoftheship,ifthelengthofitsmodelis1.2m.\left(ii\right)Theareaofthedeckoftheship,iftheareaofthedeckofitsmodelis1.2m^2.$

Find the probability of throwing atmost 2 sixes in 6 throws of a single die.

ABC is an isosceles triangle and AC, BC are the tangents at M and N respectively. DE is the diameter of the circle. $\angle$ADP $=\angle$BEQ $={100}^{\circ }$. What is the value of $\angle$PRD?

Which of the following is a mixture of two tax systems?

Angle ABC = 60${}^{\circ }$ and BA = BC = 8 cm. The mid points of BA and BC are M and N respectively. Draw the locus of a point which is equidistant from BA and BC, 4 cm from M and 4 cm from N. Mark the point P, which is 4 cm from both M and N, and equidistant from BA and BC. Join MP and NP. Then BMPN is a

Draw a triangle ABC with side BC = 6 cm,$\angle C={30}^{\circ }$ and $\angle A={105}^{\circ }$. Then construct another triangle whose sides are times the corresponding $\Delta$ side of ABC.

If A = $\left[\begin{array}{cc}0& 2\\ 3& 5\end{array}\right]$, B = $\left[\begin{array}{ccc}3& 4& 5\\ 2& 3& 1\\ 1& 3& 7\end{array}\right]$, then A + B =

Two parallelograms ABCD, EFGH are on equal bases AB and EF and between the same parallel lines. If area (||gm ABCD) = 140 sq cm, then sum of areas of the two parallelograms is.

Equation of the line passing through $(1,2)$ and parallel to the line $y=3x-1$ is

The value of $tan\theta tan({60}^{\circ }-\theta )tan({60}^{\circ }+\theta )$ is

Show that the points A(3, 0), B(4, 5), C(-1, 4) and D(-2, -1) are the vertices of a rhombus. Find its area.

If P(-1,1) is the midpoint of the line segment joining A(-3,b) and B(1, b+4) then b=?

(a) 1 (b) -1 (c) 2 (d) 0

Find the area of the triangle formed by joining the midpoints of the sides of the triangle whose vertices are A(2,1), B(4,3) and C(2,5)

A bag contains 4 white balls, 5 red balls, 2 black balls and 4 green balls.
A ball is drawn at random from the bag. Find the probability that it is (i) black, (ii) not green, (iii) red or white, (iv) neither red nor green.

A boy is cycling in such a way that the wheels of his bicycle are making 140 revolutions per minute. If the diameter of a wheel is 60 cm, calculate the speed (in km / hr) at which the boy is cycling.

A conical flask is full of water. The flask has base-radius r and height h. The water is poured into a cylindrical flask of base-radius mr. Find the height of water in the cylindrical flask.

The sum of the first $7$ terms of an A.P. is $63$ and the sum of its next $7$ terms is $161$. Find the $28th$ term of this A.P.

Solve graphically the system of linear equations:

4x - 3y + 4 = 0

4x + 3y - 20 = 0

Find the area bounded by these lines and x-axis.

Solve the following systems of equations:

$2x-\frac{3}{y}=9$

$3x+\frac{7}{y}=2,y\ne 0$

If AD is external bisector of $\angle A$ which meets BC at D and CE || DA. Then, which of the following is true?

A sphere of diameter 15.6 cm is melted and into a right circular cone of height 31.2 cm.Find the diameter of the base of the cone.

Define an event.