Explore topic-wise InterviewSolutions in Current Affairs.

If $A\times B\subseteq C\times D\text{and}A\times B\ne \varphi$, then which of the following is/are must be true?

Describe the locus for questions 1 to 13 given below:

the locus of points inside a circle and equidistant from two fixed points on the circumference of the circle.

In the given figure, AB is the diameter of the circle, with centre O, and AT is the tangent, Calculate the numerical value of x.

Prove that $2+\sqrt{3}$ is irrational.

Write the number of chords in each figure as a sequence.

Do they follow arithmetic sequence?

The height of a cone is 8 cm and its base radius is 6 cm. The curved surface area the cone is (Use $\pi$ = 3.14).

If the point (2,2) lies on the line 4x+5y = k, then find the value of k.

The values of x and y in the given figure.

Through any given set of three distinct points A, B, C it is possible to draw at most ___circle(s).

An express train going towards Delhi is travelling at a speed of $90kmph$. Brakes are applied so as to produce a uniform acceleration of $–0.5m{s}^{-2}$ . Find how far the train will go before it is brought to rest.

Question 4

Distances travelled by Hamid and Akhtar in an hour are 9 km and 12 km. Find the ratio of the speed of Hamid to the speed of Akhtar.

Question 155

As per the census of 2001, the population of four states are given below

$\begin{array}{cccc}& \text{(a)}& \text{Maharashtra}& 96878627\\ & \text{(b)}& \text{Andhra Pradesh}& 76210007\\ & \text{(c)}& \text{Bihar}& 82998509\\ & \text{(d)}& \text{Uttar Pradesh}& 166197921\end{array}$

Arrange the states in ascending and descending order of their populations.

Find the number of terms in each of the following APs respectively:

$\left(i\right)7,13,\mathrm{19....},205$
$\left(ii\right)18,\frac{31}{2},13,...-47$

What will be the circumradius of a right angled triangle whose hypotenuse length is 10 cm?

In the figure below, O is the centre of the circle and $\angle QPR=x^{\circ };\angle ORQ=y^{\circ }$. Find $x^{\circ }+y^{\circ }$.

Check wheather 6n can end with the digit 0 for any natural number n

how to find lcm of 7.5,6,5

Solve the following pair of non-linear equations:
$\frac{4}{x}+3y=8,\frac{6}{x}-4y=-5$

Which of the following should be the LAST sentence after rearrangement?

The average of the first five multiples of 5 is ___.

A gardener plans to construct a trapezoidal shaped structure in his garden. The longer side of trapezoid needs to start with a row of $97$ bricks. Each row must be decreased by $2$ bricks on each end and the construction should stop at $25th$ row. How many bricks does he need to buy?

Solve for x and y, using elimination method

6/(x+y)= 7/(x-y) + 3

1/2(x+y) = 1/3(x-y)

The measure of central tendency which is given by the $x$-coordinate of the point of intersection of the 'more than' ogive and 'less than' ogive is _____.

In a right angled triangle the three sides measure 12 cm,16cm and 20cm.What is its area?

Find the locus of midpoints of radii of a circle.

The perimeters of two similar triangles are 30 cm and 24 cm. If one side of first triangle is 12 cm, determine the corresponding side of the second triangle.

On a graph paper plot the points A(-2,-3), B(6,5) and C(-2,8). Then the point of intersection of the locus of a point equidistant from A and B and the locus of a point equidistant from AB and BC lies in

With the vertices of $△ABC$ as centers, three circles are described, each touching the other two externally. If the sides of the triangle are 9 cm, 7 cm and 6 cm, find the radii of the circles. [4 MARKS]

A tent consists of a frustum of a cone, surmounted by a cone. If the diameters of the upper and lower circular ends of the frustum are 14 m and 26 m respectively, the height of the frustum be 8 m and the slant height of the surmounted conical portion be 12 m, find the area of the canvas required to make the tent. Assume that the radii of the upper end of the frustum and the base of the surmounted conical portion are equal. [2 MARKS]

If the replacement set is the set of whole numbers, solve the following inequation.
$8-x\ge -\frac{1}{2}$.

Find the value of y?
x + y = 1 and -x + y = -3

Define trace of a matrix.

You have been asked to plot graphs of the following equations:
Equation 1: $3x+2y=1$
Equation 2: $y-2x=2$
Fill the following tables (find p, q, r, s) which you will use to plot the graphs:
Equation 1:
$\begin{array}{ccc}x& 0& 5\\ y& p& q\end{array}$
Equation 2:
$\begin{array}{ccc}x& r& s\\ y& 0& 5\end{array}$

Draw the graph of $y=x^2-x-8$ and hence, solve the equation $x^2-2x-15=0$

In the given figure, R is an external point and RP and RQ are tangents drawn to the circle from R. $\angle POQis{90}^{\circ }$. The quadrilateral OPRQ is a ____and the $\angle$ POR is ___

For what values of k can the following numbers form an A.P:2k-1,k+2,2k

The point on x-axis which is equidistant from (5,9) and (-4,6) is

An iron ball of radius 10.5 cm is melted and recast into small cones, each of radius 3.5 cm and height 3 cm. The number of cones is

1. 1

Find the compound ratio of: Duplicate ratio of 4 : 5 and triplicate ratio of 5 : 3.

If $\frac{3+\sqrt{5}}{2\sqrt{5}+3}=a+b\sqrt{5}$, then the values of irrational numbers $a$ and $b$ are

AB & CD are lines with equations 2 – y + 2 = 0 & – 2y = 2 respectively, where

A & C are y – intercepts & B & D are – intercepts of the respective lines.

In the adjoining figure, $\angle ABC={90}^{\circ }$ and $BD\perp AC$. If AB = 5.7 cm, BD = 3.8 cm, CD = 5.4 cm, then find the length of BC.

The median of 50, 42, 35, 2 + 10, 2 – 8, 12, 11, 8 (written in decreasing order) is 25. Find the value of .