Explore topic-wise InterviewSolutions in Current Affairs.

A man bought 16 shares at ₹97 and gets a dividend of ₹128. Find the rate of dividend on the shares ?

A solid object made up of wood is in the shape of a cylinder with 4 cuboidal depressions. The radius and height of the cylinder is 7 cm and 10 cm, respectively. The dimensions of the cuboid are 2 cm $\times$ 3 cm $\times$ 4 cm. Find the volume of wood in the solid object.

If 1 is a root of the equations ay² + ay + 3 = 0 and y² + y + b = 0, then ab equals :

Find the perpendicular distance of (1, 1) from x - y +$\sqrt{2}=0$

Match the following.
$\begin{array}{cc}i)\text{horizontal}& \text{a) is the angle between line of sight and the horizontal}\\ \text{level}& \text{level when the object is above the horizontal line.}\\ \text{ii)line of sight}& \text{b) is the line running parallel to the plane on}\\ & \text{which the object is kept.}\\ \text{iii) angle of}& \text{c) is the line drawn from the eye of the observer to the}\\ \text{elevation}& \text{point in the object viewed by the observer.}\\ \text{iv) angle of}& \text{d) is the angle between line of sight and the horizontal}\\ \text{depression}& \text{level when the object is below the horizontal line.}\end{array}$

The figure shows a running track surrounding a grassed enclosure PQRSTU. The enclosure consists of a rectangle PQST with a semi-circular region at each end. PQ = 200 m; PT = 70 m.

Determine the ratio in which the line 3x + y = 9 divides line segment joining the points A (2,7) and B (1,3).

Which of the points are points of trisection of A(2,-2) and B(-7,4)?

Justify the statement all polynomials are algebric expressions but all algebric expressions are not polynomials. Give examples

Question 6 (i)
Given the linear equation 2x + 3y - 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is:
(i) Intersecting lines

Abigail buys a new salt cellar in the shape of a cylinder topped by a hemisphere. The cylinder has a diameter of 6 cm and a height of 10 cm. She pours the salt into the salt cellar, so that it takes up half the total volume of the pot. Find the depth of the salt.

Water is being pumped out through a circular pipe whose diameter is 7 cm if the flow of water is 72 cm per second how many litres of water being pumped out in h our

Hope will get a relevant answer this time

If the perimeter of protractor is 90 cm .Find the radius of the protractor ( use π=22/7)

If a fair dice is thrown, what is the probability of getting a number which is divisible by 2 or 3?

for every pair of positive integers a and b there exist a unique pair of whole number q and r such that a=bq+r give examples of a and b whereever possible satisfying a) r=0 b) q=0 c) r>b d) if a< b what can be said about q and r

In a circle of radius 10 cm, a chord subtends a right-angle at the centre, then the length of the chord is

Solve the equation by substitution method :

(a+b)x + (a+b)y = 2a² -2b²

(a+b) (x + y) = 4ab

1. 10

Find the number of terms of the given AP:
$7,13,\mathrm{19....},205$

Cylinder can be formed by stacking __.

Select the polynomials with degree 3.

Construct the quadrilateral ABCD in which AB = 5cm, BC = 7 cm and$\angle ABC={120}^0$, given that AC is its only line of symmetry. Name the quadrilateral.

Find the value of k, if the points P (5, 4), Q (7, k) and R (9, -2) are collinear.

A vessel is in the form of hemispherical bowl surmounted by a hollow cylinder of the same diameter. The diameter of the hemispherical bowl is $14cm$ and the total height of the vessel is $13cm$. Find the total surface are of the vessel.$[Use\pi =\frac{22}{7}]$

A mapping is selected at random from the set of all the mappings of the set A = {1, 2, …….., n} into itself. The probability that the mapping selected is an injection is:

The sides of a triangle are 3 cm, 4 cm, and 5 cm in length. The greatest angle of this triangle is .

In fig., $△$ABC is circumscribing a circle. Find the length (in cm) of BC

Question 5
A positive integer is of the form 3q + 1, q being a natural number. Can you write its square in any form other than 3m + 1. i.e., 3m or 3m +2 for some integer m? Justify your answer.

Π denotes the ratio

A bag contains three green marbles, four blue marbles and two orange marbles. If a marble is picked at random, then the probability that it is not an orange marble is__.

Find the roots of the quadratic equation $\sqrt{2}{x}^2+7x+5\sqrt{2}=0$ using factorisation method.

The corresponding altitudes of two similar triangles are 6 cm and 9 cm respectively. Find the ratio of their areas.

You are given a circle with radius 'r' and centre 'O'. You are asked to draw a pair of tangents which are inclined at an angle of 60° with each other, from a point E.
Refer to the figure and select the option which would lead you to the required construction. The distance d is the distance OE.

Factorise

${(x-y)}^3+{(y-z)}^3+{(z-x)}^3$ [3 MARKS]

Si + 2$H_2$O(Steam) $\to$ $Si{O}_2$ + ___

If two rectangles ABCD and PQRS whose sides are parallel to the coordinate axes are drawn as shown in below figure then the coordinates of 'S' are ___

What must be subtracted from $3x^3-8x^2+4x-3$ so that the resulting expression is divisible by $x-2$?

If the radii of the ends of a bucket 45 cm high are 28 cm and 7 cm respectively, the total surface area of the bucket is:

If a, b, c are in A.P. then $3^a$, $3^b$, $3^c$ are in