Explore topic-wise InterviewSolutions in Current Affairs.

Find the sum of deviations of the following variables from their mean.

3, 4, 6, 7, 8, 14

Angle inscribed in a semicircle is always .

The value of $lo{g}_{b}a.lo{g}_{c}b.lo{g}_{a}c$ is

The point where the line $x+y=5$ touches the y-axis is (0,b) and where it touches the x-axis is (a,0) ,

then a+b =

The value of $\theta ,if2cos3\theta =1$ is

John got one doubt regarding fractions. So, he asked his teacher that how many fractions are possible between 4 and 5. What would be the answer of the teacher?

If AB = 2 m, Find the Area of the $△$ EOA. E is the midpoint of AB.

The times (in seconds) taken by 150 athletes to run a 110 m hurdle race are tabulated below

$\begin{array}{ccccccc}Class& 13.8-14& 14-14.2& 14.2-14.4& 14.4-14.6& 14.6-14.8& 14.8-15\\ Frequency& 2& 4& 5& 71& 48& 20\end{array}$

The number of athletes who completed the race in less than 14.6 s is

A bag contains 100 identical marble stones numbered from 1 to 100. What is the probability of drawing a marble having number divisible by 4 and 5 both?

Tangents PA and PB are drawn from an external point P to two concentric circles with centre O and radii 8 cm and 6 cm respectively, as shown in the figure. If AP = 6 cm then find the length of BP.

Prove that the diagonals of a rectangle are equal. [3 MARKS]

Which of the following fractions is equal to $\frac{1}{\sqrt{5}-\sqrt{7}}$?

A dice is rolled once. What is the probability of getting a four?

Evaluate $(2a-3b{)}^2$

The fixed point in a circle which is at a fixed distance from any point on the circumference is known as the _______ of the circle.

On a particular day, at a crossing in a city, the various types of vehicles going past during a time interval were observed as follows:
$\begin{array}{cccc}\text{Type of vehicle}& \text{Two-wheelers}& \text{Three-wheelers}& \text{Four-wheelers}\\ \text{Frequency}& 84& 68& 88\end{array}$

Out of these vehicles, one is chosen at random. What is the probability that the chosen vehicle is a two-wheeler?

$(0.89345\times 1000)+8.9345-893.45=$

To construct a quadrilateral using triangles, minimum number of triangles needed are

If A = {1, 2, 3, 4, 5, 6} and B = {2, 4, 6, 8}, then the sets A - B and B - A are __________ and ____________ respectively.

Find the value of 'm' if (-m,3) is the solution of equation 4x+9y-3=0

Euclid's Axiom 5 is :

To know the opinion of the students about the subject Sanskrit, a survey of 200 students was conducted. The data is recorded as under.

$\begin{array}{ccc}\text{Opinion}& \text{like}& \text{dislike}\\ \text{Number of students}& 135& 65\end{array}$

What is the probability that a student chosen at random does not like it?

(a) $\frac{13}{27}$

(b) $\frac{27}{40}$

(c) $\frac{13}{40}$

(d) $\frac{27}{13}$

An organisation selected 2400 families at random and surveyed them to determine a relationship between the income level and the number of vehicles in a family. The information gathered is listed in the table below:

Suppose a family is chosen at random. Find the probability that the family chosen is

(i) earning Rs 25000 - Rs 30000 per month and owning exactly 2 vehicles.

(ii) earning Rs 40000 or more per month and owning exactly 1 vehicle.

(iii) earning less than Rs 25000 per month and not owning any vehicle.

(iv) earning Rs 35000 - Rs 40000 per month and owning 2 or more vehicles.

(v) owning not more than 1 vehicle.

Choose the correct answer in each of the following :

The volume of a cone is 1570 $c{m}^3$ and its height is 15 cm. What is the radius of the cone ?$(Use\pi =\mathrm{3.14.})$

(a) 10cm (b) 9 cm (c) 12 cm (d) 8.5 cm

Match the following:

$$\begin{array}{cc}\text{Column A}& \text{Column B}\\ 1.A=\{x:xisanoddnaturalnumber\}& a.\{\frac{1}{2},\frac{1}{3},\frac{2}{3},\frac{3}{4},\frac{3}{5},\frac{5}{7}\}\\ 2.B=\{x:x=(n^2),n\in Nandx<100\}& b.\{1,4,9,16,25,........10000\}\\ 3.C=\{x:x=\frac{n}{n+2},n\in Nand1\le n\le 6\}& c.\{1,4,9,16,25,36,49,64,81\}\\ 4.D=\{x:xisaletterofthewordTRIGONOMETRY\}& d.\{G,E,I,M,N,O,R,T,Y\}\\ & e.\{1,3,5,7,9,...............\}\end{array}$$

. Find three different rational no. between 5 upon 7 and 9 upon 11

For universal set U, and sets A, B which are subsets of U, the following information is given

n(U) = 47

n(A) = 18

n(B) = 11, n(A ∩ B) = 10

Then, the number of elements that are neither in A nor in B is__

The midpoints of the sides of a triangle along with any of the vertices as the fourth point makes a parallelogram of area equal to

(a) $\frac{1}{2}\left(ar△ABC\right)$

(b) $\frac{1}{3}\left(ar△ABC\right)$

(c) $\frac{1}{4}\left(ar△ABC\right)$

(d) $\left(ar△ABC\right)$

The table given below shows the ages of 75 teachers in a school.

$\begin{array}{ccccc}\text{Age (in years)}& 18-29& 30-39& 40-49& 50-59\\ \text{Number of teachers}& 3& 27& 37& 8\end{array}$

A teacher from this school is chosen at random. What is the probability that the selected teacher is

(i) 40 or more than 40 years old?

(ii) of an age lying between 30-39 years (including both)?

(iii) 18 years or more and 49 years or less?

(iv) 18 years or more old?

(v) above 60 years of age?

NOTE Here 18-29 means 18 or more but less than or equal to 29.

Find the total surface area of a cone,if its slant height is 21 m and diameter of its base is 24 m.

If the area of an equilateral triangle is $81\sqrt{3}c{m}^2,$ find its height.

Express each of the following equations in the form ax + by + c = 0 and indicate the values of a, b, c in each case.

(i) 3x + 5y = 7.5

(ii) $2x-\frac{y}{5}+6=0$

(iii) 3y - 2x = 6

(iv) 4x = 5y

(v)$\frac{x}{5}-\frac{y}{6}=1$

(vi) $\sqrt{2}x+\sqrt{3}y=5$

If $x=3-2\sqrt{2}$ , then $\frac{1}{x}=$ _____.

If one of the angles of a triangle is ${130}^{\circ }$ then the angle between the bisectors of the other two angles can be

(a) ${50}^{\circ }$

(b) ${65}^{\circ }$

(c) ${90}^{\circ }$

(d) ${155}^{\circ }$

The point on Y-axis equidistant from (–3, 4) and (7, 6) is ___.

A angle bisector is draw for angle between a line segment and its perpendicular bisector. The angle between angle bisector and the linesegment is:

Anita and Divya were preparing for their exam. Anita says that $3\times 5\frac{1}{5}=\frac{78}{5}$ but Divya says $3\times 5\frac{1}{5}=\frac{76}{5}$. The correct answer was given by ___.

Factorise (8XxX+2x–3)