Explore topic-wise InterviewSolutions in Current Affairs.

What are the values of x and y, if (x + 1, 4) = (5, y – 1)?

If X and Y are two sets and $X^{\prime }$ denotes the complement of X, then
$X\cap (X\cup Y{)}^{\prime }$ is equal to

In a triangle ABC, AD, BE and CF are the medians. Which of the following statements is true?

Find the slope of a line whose Y intercept is 3 and which passes through (4,11)

In the given diagram, O is the centre of the circle and chord AB = chord BC.
(i) What is the relation between arc AB and arc BC?
(ii) What is the relation between $\angle AOB$ and $\angle BOC$? [1 Mark]

If the sides of a triangle is 5cm,7cm and 7cm.Find the perimeter of the triangle.

In a school, There were six holidays in the month of April. Ratio of Number of holidays to the total number of days in the month of April is

Question 32
Factorise the following:
(i) $1–64a^3–12a+48a^2$

(ii) $8p^3+\frac{12}{5}{p}^2+\frac{6}{25}p+\frac{1}{125}$

If $x=3-2\sqrt{2}$ then $(x+\frac{1}{x}{)}^3$ = __________________

Ysquare-121=0

Find the quotient when the polynomial $x^2+1$ is divided by $x+2$ using synthetic division method.

Find the angle sum of all interior angles of a regular polygon which has 7 sides.

4/5-3/5

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5

The difference between the sides at right angle in a right angle triangle is 14 cm the area of the triangle is 120 CM square calculate the perimeter of the triangle

If tan(A+B)=√3 and tan A=1 then find angle B

Question 3(i)
Multiply and reduce to lowest form and convert into a mixed fraction: $\left(i\right)7\times \frac{3}{5}$

The reference point in the Cartesian System from which the distances are marked is called the __.

Rahul is constructing a square of dimensions (5, 5). Rohan is constructing a rectangle of dimensions (6, 4). Then, which of the following statements hold true?

A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior.The diameter of the pencil is 7 mm and the diameter of the graphite is 1 mm.If the length of the pencil is 14 cm, find the volume of the wood and that of the graphite.
$[Assume\pi =\frac{22}{7}]$

List of formulas of number system

${\log }_{25}36$ = ?

Two equal chords, $AB$ and $CD$ are at a distance of 10 cm from each other. The distance of chord $AB$ from the centre .

Two supplementary angles are in the ratio 3: 2. Find the measure of the smaller angle.

$\text{In the figure below,}\Delta ABC\text{is an}\text{equilateral triangle and EC = CD. What}\text{is the measure of}\angle EDC?$

If two coins are tossed simultaneously, the probability of getting at least one tail is

The point of intersection of medians is known as centroid. The centroid divides the median in the ratio________.

In an isosceles right triangle, the length of the hypotenuse is $10cm.$ Then the perimeter of the triangle is

Match the following triangles with the measure of their respective areas (given in sq cm).

Factorise $4a^{2}b-12a^2-16b+48$

Out of 50 students in a class taking a test, 35 of them passed whereas the other 15 failed. What is the probability that a student drawn at random passed the exam?

In triangle ACB, AB = 5, BC = 3. then ______ .

Question 46
In the following question, state whether the given statement is true (T) or false (F).
LXXIV=74

What is the solution for the equation: $4x-\frac{1}{3}=1?$

The sum of the diameters of two circles is 280 cm and the difference of their circumferences is 88 cm. Then the larger of the two radii is

Which of the following statements is incorrect?

The sides of a triangle park are in ratio 3:5:7, if its perimeter is 90 m, Find its area.

Suppose there are three consumers in a particular market : Ashok, Mohan and Jay. Their demand schedules are given in the following table :

$\begin{array}{cccc}\text{Price}& \text{Quantity Demanded}& \text{Quantity Demanded}& \text{Quantity Demanded}\\ & \text{by Ashok}& \text{by Mohan}& \text{by Jay}\\ 1& 60& 55& 24\\ 2& 50& 40& 13\\ 3& 40& 25& 5\\ 4& 30& 10& 0\\ 5& 20& 0& 0\end{array}$

(i) Derive the market demand schedule.

(ii) Suppose Mohan drops out of the market. Derive the new market demand schedule.

(iii) Suppose Mohan stays in the market and another person, Bhim, joins the market, whose quantity demanded at any given price is half of that of Ashok. Derive the new market demand schedule.

Bisector of an angle divides the angle into

If $0.1\overline{34}=\frac{p}{q}$ where $p$ and $q$ are integers and $q\ne 0$, then $\frac{p}{q}=$ ___

The area of the square inscribed in a semicircle is $2c{m}^2$. If the semi-circle is extended to a full circle, the area of the square inscribed in this circle is

In the adjoining figure, it is given that AB || CD, $\angle$BAO = 108${}^{\circ }$ and $\angle$OCD = 120${}^{\circ }$ then $\angle$AOC = ________.

The volume of a cylinder is $231c{m}^3$ and its height is 6 $cm$. A ball will fit inside the cylinder if its radius is ______.

A sum of money, invested at compound interest, amounts to Rs. 16,500 in 1 year and to Rs. 19,965 in 3 years.

Find the rate per cent and the original sum of money invested.