Explore topic-wise InterviewSolutions in Current Affairs.

A triangular advertisement board has sides 11m, 15m and 6m. If the advertisement yields an earning of $Rs1000/m^2$per month. In 3 and half years, the company will earn $A\sqrt{2}$. Find the value of A ___.

Is ASA and AAS criteria similar?

ABCD is a quadrliateral such that A is the centre of the circle passing through B, C and D. Prove that $\angle CBD+\angle CDB=\frac{1}{2}\angle BAD$

In a triangle ABC, AB = AC then $\angle B=$ ______.

ABCD is a cyclic trapezium with AD || BC. If $\angle B={70}^{\circ }$, determine other three angles of the trapezium.

The given figure shows a right angled triangle ABC and an equilateral triangle BCD. Find the area of the shaded portion.

Which of the following properties/methods is not used in the construction method of triangle construction 3?

Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given:
(i) Area: $25a^2-35a+12$
(ii) Area: $35y^2+13y-12$

Simplify $7log\left(\frac{32}{15}\right)+5log\left(\frac{25}{24}\right)+3log\left(\frac{81}{160}\right)$

1. 18

Factorise 2x^3-3x^2-17x+30

Sumit wants to construct a triangular kitchen garden whose perimeter is 36 m.

Which of the following dimensions are possible for the garden?

2x + 4 = 3x + 1 will represent a.

In the figure, $△ABC$ is a right angled triangle with $\angle B={90}^{\circ }$. If BD is perpendicular to AC, then $AC\times AD$ = ____.

Q2. Consider the following statements:

1. CSIR-National Physical Laboratory (CSIR-NPL) is the custodian of Indian Standard Time (IST).

2. It has the responsibility for realization, establishment, maintenance and dissemination of IST through an act of Parliament.

Which of the statements are correct?

Raghu had to make a cylindrical aluminium tube. What is the area of the aluminium sheet required to make the tube if the length of the tube is $1m$ and base radius is $3.5cm?$ [Take $\pi =\frac{22}{7}$]

Find the value for x, y for:8y-3x+7=0, 2x-y+4=0

In triangle ABC angle B=90°, AB=2a+1 and BC=2a²+2a. Find AC in
terms of 'a'. If a=8 , find the lengths of the sides of the triangle.

The diagonals of a rectangle PQRS intersects at O. If ∠QOR = 44°, ∠OPS =?

If two straight lines are perpendicular to a line l, then they are

Two points P & Q are marked on the number line as shown in figure with P = -8 & Q = -15

The distance between them is

Sum of the probabilities of all events of a trial is

If the probability of an event happening is 0.6, what is the probability of the event not happening?

tan${70}^{\circ }$ equals to

The following 2 bar graphs shows the details of price distribution of making a car.One shows the amounts (in million Rs.) invested by a Lamborgini in purchasing raw materials for the production of a car over the years and the other shows the values (in million Rs.) of finished car sold by the Company over the years.

i)The difference between the amount invested in Raw materials and value of sales of finished car was maximum during which year?

ii) The value of sales of finished goods in 2009 was approximately what percent of the sum of amount invested in Raw materials in the years 2007, 2008 and 2009?

The units' digit of a two digit number is thrice its tens digit. If 36 is added to the number, the digits interchange their place. Find the number.

In $△ABC,AD,BE$ and $CF$ are medians, and $G$ is centroid. If $AD=15cm$, find $AG$.

In a $△ABC$, $\angle A={50}^{\circ }$ and $\angle B={70}^{\circ }$ What is the value of $\angle C$?

Given three distinct points in a plane, how many lines can be drawn by joining them ?

Question 2 (i)
Find the surface area of a sphere of diameter:

(i) 14cm $[Assume\pi =\frac{22}{7}]$

If the area of parallelogram PQRS is 32 cm² and line XY || AS ,then the area of triangle ACS is____

Using factor theorem, show that g(x) is a factor of p(x), when
$p\left(x\right)=x^3-8,g\left(x\right)=-2$

ABCD is a cyclic quadrilateral. Find the angles of the cyclic quadrilateral.

Let $\overline{x}$ be the mean of $x_1,x_2,\dots ,x_n$. and $\overline{y}$ be the mean of $y_1,y_2\dots ,y_n$ If $\overline{z}$ is the mean of $x_1,x_2,\dots ,x_n,y_1,y_2,\dots y_n$, then $\overline{z}=?$

(a) $(\overline{x}+\overline{y})$

(b) $\frac{1}{2}(\overline{x}+\overline{y})$

(c) $\frac{1}{n}(\overline{x}+\overline{y})$

(b) $\frac{1}{2n}(\overline{x}+\overline{y})$

$\text{If}{a}^2+b^2+c^2-ab-bc-ca=0,\text{then}$

If x = 3 and y = 4 is a solutions of the equation 5x - 3y = k, find the value of k.

The weights (in kg) of 8 children are
13.4, 10.6, 12.7, 17.2, 14.3, 15, 16.5, 9.8.
Find the median weight.

Find the area of an isosceles triangle each of whose equal sides measures 13 cm and whose base measures 20 cm.

In a histogram the class interval or the groups are taken along

(a) Y-axis (b) X-axis

(c) both of X and Y axis (c) in between X and Y axis

1. 900

If $a=2^3\times 3^2\times 5$ and $b=2^4\times 3\times 7^2$, then which of the following is true?

In the given figure, ABCD is a trapezium. Find the sum of areas of $△AOD$ and $△COB$.

AF is the angle bisector of the angle $\angle EAD$. If AE = EF and $\angle AEF={120}^{\circ }$, the value of $\angle EAD$ is .

Points (1, -1), (2, -2), (4, -5), (3, -4) lie in which quadrant?