Explore topic-wise InterviewSolutions in Current Affairs.

The value of $\frac{cosA}{cotA}+sinA$ is:

If a=2+√3, then find the value of a-1/a

$\text{D is any point on the side AC of}\Delta ABC\text{with AB = AC. Show that}CD<BD.$

In a hot water heating system, there is a cylindrical pipe of length 28 m and diameter 5 cm. Find the total radiating surface in the system.

Let ABC be a triangle of area 24 sq. units and PQR be the triangle formed by the midpoints of sides of $△ABC.$ Then the area of $△PQR$ is

In the given figure, CD is the diameter of a circle with centre O and CD is perpendicular to chord AB. If AB = 12 cm and CE = 3 cm then radius of the circle is

(a) 6 cm

(b) 9 cm

(c) 7.5 cm

(d) 8 cm

In a shower, $5cm$ of rain falls. Find the volume of water that falls on $2$ hectares of ground.

In the figure, lines $AB$ and $CD$ intersect at $O$. If $\angle AOC+\angle BOE={70}^{\circ }$ and $\angle BOD={40}^{\circ }$, find $\angle BOE$ and reflex $\angle COE$.

What value of x would make AOB a line in figure, if $\angle AOC=4xand\angle BOC=(6x+{30}^{\circ })$?

$\text{In the given figure}AD\perp BCandCD>BD.ShowthatAC>AB.$

Find the ratio between the total surface area of a cylinder to its curved surface area, given that its height and radius are 7.5 cm and 3.5 cm.

In a triangle $\angle ABC,\angle A={50}^{\circ },\angle B={60}^{\circ }and\angle C={70}^{\circ }$. Find the measures of the angles of the triangle formed by joining the mid -points of the sides of this triangle.

When simplified $(x^{-1}+y^{-1}{)}^{-1}$ is equal to

Factorise
$2a^3+16b^3-5a-10b$

Maximum and minimum number of points of intersection of three lines are A and B respectively. Then A+B = ?

The bisects of exterior angles at B and C of $\Delta ABC$, meet at O. If $\angle A=x^{\circ }$, then $\angle BOC$=

The value of ${\frac{(-7)}{\left(7^6\right)}}^6$ is: ___

The following data shows monthly savings of 100 families . Find the difference of modal and mean monthly savings in rupees.

$$\begin{array}{cc}Monthlysavings\left(Rs\right)& Numberoffamilies\\ 1000-2000& 14\\ 2000-3000& 15\\ 3000-4000& 21\\ 4000-5000& 27\\ 5000-6000& 25\end{array}$$

Find the equation of a line with slope (m) = -3 and y - intercept (c) = -2.

For any two sets A and B, prove by using of properties of sets that $(A\cup B)-A=B-A,$ Also,
verify this result by taking example.

Circles having the same centre and different radii are called

The cost of painting the inner curved surface area of a cylindrical container of depth 20 m is Rs. 8800. If painter takes Rs. 40 per metre square to paint the cylindrical container, then find radius of the cylindrical vessel.
Take $\pi =\frac{22}{7}$

What is the major problem of the mechanism used to identify poor households in India?

Following are the weights (in kg) of 10 new born babies in a hospital on a particular day:

3.4, 3.6, 4.2, 4.5, 3.9, 4.1, 3.8, 4.5, 4.4, 3.6.

Now, the mean of the weights of the babies will be

Four circular cardboard pieces of radii 7 cm are placed on a paper in such a way that each piece touches other two pieces. Find the area of the portion enclosed between these pieces.

Solve

3x + 4y = 5
x + 5y = 9

Find the approximate change in total surface area of a cube of side x metre caused by increase in side by 1%.

Choose the correct statement

The simple interest on a certain sum of money at 10% per annum is Rs. 6,000 in 2 years.
Find :

(i) the sum.

(ii) the amount due at the end of 3 years and at the same rate of interest compounded annually.

(iii) the compound interest earned in 3 years.

The average marks of the students of class $8^{th}$ for Mathematics are 45. But most of the students were given 60 out of 100.The Median of the class would be:

If √10=3.162, find the value of1/√10

Rs 9,000 was divided equally among a certain number of people. Had there been 20 more people, each would have got Rs 160 less. Choose the correct statements.

Solve the following pair of linear equations by the substitution method.
$s-t=3;\frac{s}{3}+\frac{t}{2}=6$

The scores of a player in a hockey tournament are 2 , 3 , 0 , 1 , 4 , 2 , 5 and 1. What is his average score?

If AB = 6 m, Find the Perimeter of the $△$ ADB.

Simplify each of the following:

(i) $\sqrt[3]{34}\times \sqrt[3]{316}$

(ii) $\frac{\sqrt[4]{41250}}{\sqrt[4]{42}}$

In the given figure,ABCD and ABPQ are two parallelograms and M is a point on AQ and BMP is a triangle.Then,$ar\left(△BMP\right)=\frac{1}{2}\left(||gmABCD\right)$ is

(a) true

(b) false

$In\Delta ABC,\text{side AB is produced to D such that BD = BC.}If\angle A={70}^{\circ }and\angle B={60}^{\circ },\text{prove that (i) AD > CD (ii) AD > AC.}$

A man wins if he hits the target. The chance of hitting the target in one shoot is $20\%$. He stops when he hits the target. Let $p$ be the probability that he wins in $n^{\text{th}}$ attempt, where $20p^2-13p+2\le 0,$ then the possible value of $n$ is

A cylindrical tub of radius 12 cm contains water to a depth of 20 cm. A spherical iron ball is dropped into the tub and thus the level fo water is raised by 6.75 cm.What is the radius of the ball ?

In the given figure, l ||m in and a transversal I cuts them. If $\angle 1:\angle 2=2:3$, find the measure of each of the marked angles.

Question 88

30 persons can reap a field in 17 days. How many more persons should be engaged to reap the same field in 10 days?

Question 104

Find the multiplicative inverse of $(-7{)}^{-2}÷(90{)}^{-1}$.

If A is an idempotent matrix and A + B =I, then which of the following is true?

If $cotA=\frac{12}{5}$, then the value of (sinA+cosA) $\times$ cosecA is:

Find the value of a and b when a+b√15=√15+√3/√5-√3

If set A = {1, 2, 3}, set B = {4, 5}, then find A $\times$ B.

The graph for the following system of equations :

$2x+3y=5$ and $6x+9y=40$ is shown

$S_1:\frac{a_1}{a_2}=\frac{b_1}{b_2}\ne \frac{c_1}{c_2}$

S2 : The two lines intersect each other.