Explore topic-wise InterviewSolutions in Current Affairs.

In Fig. O is the centre of a circular arc and AOB is a straight line. Find the perimeter and the area of the shaded region correct to one decimal place. (Take $\pi =3.142$)

What can you say about the product of a rational and an irrational number ?

Which of the following is a quadratic equation?

Solve 2y +3/y = 7

Find the HCF and LCM of 6, 72 and 120 using the prime factorisation method. [3 MARKS]

The diameter of wheel is 0.70 m. Find the distance covered by it in 500 revolutions.

If the wheel takes 5 min. to make 500 revolution, find its speed in:

i) m/sec

ii) km/hr

The length of a side of a square is 3 cm. Length of its diagonal will be equal to

Draw a Ogive for the following distribution which shows the marks of 100 students,then find the median

$$\begin{array}{ccccccccc}\text{Marks}& \text{0-10}& \text{10-20}& \text{20-30}& \text{30-40}& \text{40-50}& \text{50-60}& \text{60-70}& \text{70-80}\\ \text{Number of students}& \text{5}& \text{10}& \text{20}& \text{25}& \text{15}& \text{12}& \text{9}& \text{4}\end{array}$$

Question 9
A solid iron cuboidal block of dimensions 4.4 m × 2.6 m × 1m is recast into a hollow cylindrical pipe of internal radius 30 cm and thickness 5 cm. Find the length of the pipe.

Question 96

Find the area enclosed by the following figure:

The given question consists of a set of statements. Find out whether the data provided in the statements are sufficient to answer the question and mark the option:

How is ‘cost’ written in the given code language?
I. In the code language ‘tell me the cost’ is coded as ‘ 0 # 9’ and ‘cost was very high’ is coded as ‘& 6 # 1’.
II. In the code language ‘some cost was discount’ is coded as ‘187#’ and ‘some people like discount’ is coded as ‘875$\%$’.

Find a cubic polynomial whose zeroes are 2, - 3 and 4.

The $4^{th}$ term from the end of an AP is $–11,–8,–5,\dots ..,49$ is
$A.37$
$B.40$
$C.43$
$D.58$

Question 3

If the product of two whole number is 1, can we say that one or both of them will be 1? Justify through examples

A rectangular field has an area of $3sq.units$. The length is one unit more than twice the breadth. Frame an equation to represent this. [Assume breadth is $x$].

Let f(x) = $x^2$ and g(x) = 3x + 4 . Find the value of $\frac{(f+g)\left(x\right)}{(f-g)\left(x\right)}$ when x = 1

Find the sum of first 25 terms of an AP whose nth term is 1-4n.

In the given figure, PA and PB are two tangents to the circle with center O. If $\angle APB={40}^{\circ }$, find $\angle AQB$ and $\angle AMB$. [4 MARKS]

Easy description of section formula

The mean proportional between two numbers is 28 and their third proportional to them is 224. The two numbers are

If a quadrilateral ABCD is drawn to circumscribe a circle, then which of the options is true?

1. 1

The circumference of the circle of the triangle formed by x axis,y axis and graph of 3x+4y=12

Mr. Tiwari receives ₹6455 at the end of one year at the rate of 14% per annum in a recurring deposit account. What is his monthly installment?

Question 11
A mason constructs a wall of dimensions 270 cm×300 cm×350 cm with the bricks each of size $22.5cm\times 11.25cm\times 8.75cm$ and it is assumed that $\frac{1}{8}$ space is covered by the mortar. Then, the number of bricks used to construct the wall is

Thinking process- If we divide the volume of the wall except for the volume of mortar used on the wall by the volume of one brick, then we get the required number of bricks used to construct the wall.
(A) 11100
(B) 11200
(C) 11000
(D) 11300

Priya lost her homework paper on polynomials and she doesn't remember the divisor dividing the polynomial $x^3-3x^2+x+2$ gives quotient x-2 and remainder -2x+4. Find the divisor.

Find the equations of transverse common tangents for two circles

$x^2+y^2+6x-2y+1=0,x^2+y^2-2x-6y+9=0$

Ten years ago, the sum of the ages of two sons was one third of their father's age.One son is two years older than the other and sum of their present ages is 14 years less than the father's present age. Find the present ages of all.

An iron spherical ball of radius $21cm$ is melted and it is re-casted in hemispheres of radius $7cm.$ The number of balls formed are ___

(i) The point (-3, 2) lies on the line ax + 3y + y = 0, calculate the value of a.

(ii) The line y = mx + 8 contains the point (-4, 4), calculate the value of m.

If A is the area of a right angled triangle where $\angle Q={90}^{\circ }$ and b is the base of the $\Delta$PQR, then, find the length of altitude QN on the hypotenuse of the triangle.

The remainder obtained when the polynomial $p\left(x\right)=x^7+9x^5+5x^3+x-1$ is divided by $(x–1)$ is:

Factorise:
(i) $12x^2-7x+1$
(ii) $2x^2+7x+3$
(iii) $6x^2+5x-6$
(iv) $3x^2-x-4$

Ganesh and Lokesh solved a quadratic equation. In solving it, Ganesh made a mistake in the constant term and got the roots as 6 and 7, while Lokesh made a mistake in the coefficient of x only and obtained the roots as 4 and 10. The correct roots of the equation are:

A bag has 9 red, 7 green and 4 blue balls. A student randomly selects a ball from the bag. The probability of not getting a blue ball is

There is a natural number$x$. Write down the expression for the product of $x$and its next natural number.

Seven times a two digit number is equal to four times the number obtained by reversing the digits. If the difference between the digits is 3, find the number.

Find the next term in the following sequence.
U!, B, I#, P$, W!, D, ??

Let $n\left(A\right)=m$ and $n\left(B\right)=n.$ Then, the total number of non-empty relations that can be defined from $A$ to $B$ is .

Solve the following quadratic equations :
(i) $3(x^2–4)=5x$
(ii) x(x + 1) + (x + 2) (x + 3) = 42