Explore topic-wise InterviewSolutions in Current Affairs.

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

If two of the angles of a triangle are 90º and 45º, what is the third angle?

Two angles which have their arms parallel are either_____or_____.

A 1.5 m tall boy is standing at some distance from a 31.5 m tall building. If he walks 'd' m towards the building the angle of elevation of the top of the building changes from ${30}^{\circ }$ to ${60}^{\circ }$. Find the length d. (Take $\sqrt{3}$ = 1.73)

In the given figure, AB || CD. Find the value of x.

Why does grass look green, papaya yellow, and the edible part of watermelon red?

Factorize: $a^2{b}^2+8ab-9$

I cant understand the numericals

the diameter of a garden roller is 1.4 m and it is 2m long. how much area it will cover in 4 revolutions?

If $x=5$ satisfies the equation $2x-3=a$, then value of a is ___.

ABCD is quadrilateral. Is AB+BC+CD+DA<2(AC+BD)?

The Distance covered by a train is given as follows :

Jammu to Delhi - 590 kms

Delhi to Bhopal - 780 kms

Bhopal to Nagpur - 350 kms

Nagpur to Bangalore - 1100 kms

What is the Average Distance covered from station to station if we divide the journey equally between the stations.

(Hint : The train is travelling to 4 places)

From the statements given below, select the ones that are true.

In the figure, ABC is an equilateral triangle and BCDE is a square. The $\angle$ EAD is

Which among the following has (-3,4) as a solution?

The point on the X-axis which is equidistant from point A(4,6) and B(-1,3) is

In the given figure, A, B and C are three points on the circle with centre O such that $\angle BOC={30}^{\circ }$ and $\angle AOB={60}^{\circ }$. If D is a point on the circle that is not on the arc ABC, then find $\angle ADC.$

1. 154

Seven cubes each of sides 4 cm are joined end to end. The volume of the resulting cuboid would be

Evaluate: (102)²

If a line divides any two sides of a triangle in the same ratio, then _____________

A stadium is in circular shape. Within the stadium some areas have been allotted for a hockey court and a javelin range, as given in the figure. Assume the shape of the hockey court and the javelin range to be square and triangle, resp. The curators would like to accommodate a few more sports in the stadium. Help them by measuring the unallocated region within the stadium (the radius of the stadium is 200 mts.).

In $△ABC$, right angled at $C,AC=4cm$ and $\angle BAC={60}^{\circ }$, find the length of side $BC$

In the figure, show that AB ||EF.

Find the volume of hexagonal prism whose base area is $40c{m}^2$ and height is 35 cm.

The perimeter of a rhombus is 146 cm. One of its diagonals is 55 cm. The length of the other diagonal and area of the rhombus are

The curved surface area of a right circular cone whose slant height is 14 cm and base radius is 21 cm is

Given orthocentre $\overline{H}$ and circumcentre $\overline{C}$ for a triangle as $2\hat{i}+3\hat{j}and4\hat{i}+5\hat{k}$.Then the centroid of triangle can be given by,

If x < 3 and y > 7, then |x - y| is

In an equilateral triangle ABC of side 'a', AD is the perpendicular drawn onto side BC. Find $ADcot\theta$ in terms of a.

XY and PQ are two parallel chords of a circle on opposite side of the centre O and radius of circle is 13 cm. if PQ = 10 cm and XY = 24 cm, find the distance between PQ and XY.

Triangle ADC is formed by joining the coordinates A(2,6), C(4,0) and D(0,0). Another $\Delta$ BCD is formed by joining the coordinates B(6,6), C(4,0) and D(0,0). Line y=6 and y=0 is parallel to each other. The points C(4,0) and D(0,0) lies on y = 0. The points A(2,6) and B(6,6) lies on line y=6. ABCD forms a quadrilateral. Which of the following is correct?

1. 210

The angles of a quadrilateral are in the ratio $3:5:9:13$. Find the smallest angle.

The value of k, if (x+1) is a factor of x² + 9x + 2k is:

What do you call the middle value when you arrange all the observations in ascending or descending order?

In $\Delta$ ABC, DE $\parallel$ BC. Then which of the following is stated by Basic Proportionality Theorem?

The circumference of the circle is equal to:

Each interior angle of a regular octagon =

Question 59

In the following question, fill in the blanks to make the statements true.

On multiplying ___ by $2^{-5},$ we get $2^5$.

Assertion: If the inner dimensions of a cuboidal box are $50cm\times 40cm\times 30cm,$ then the length of the longest rod that can be placed in the box is $50\sqrt{2}cm$.
Reason: The line joining opposite corners of a cuboid is called its diagonal.
Also, length of longest rod $=$ length of diagonal $=\sqrt{l^2+b^2+h^2}$