Explore topic-wise InterviewSolutions in Current Affairs.

If $\sqrt{2}=1.41$ then $\frac{1}{\sqrt{2}}=?$

(a) $0.075$ (b) $0.75$ (c) $0.705$ (d) $7.05$

Calculate the average minimum temperature and minimum humidity of a place from the given table (weather data of a week). Choose the coorect option of the first number represents average minimun tempereature and the second number represents average minimum humidity.

$\begin{array}{ccccc}Date& \text{Max.~Temp.}{}^{o}C& \text{Min.~Temp.}{}^{o}C& \text{Min.~Humidity(\%)}& \text{Max.~ Humidity(\%)}\\ 23-08-06& 36.2& 28& 54& 82\\ 24-08-06& 35.1& 27& 53& 84\\ 25-08-06& 37.4& 27& 54& 87\\ 26-08-06& 38& 24& 58& 83\\ 27-08-06& 37.2& 23& 52& 79\\ 28-08-06& 34.9& 22& 51& 72\\ 29-08-06& 35.5& 27& 52& 85\\ Average& 36.32& ?& ?& 81.71\end{array}$

In each of the following, two polynomials, find the value of a, if x + a is a factor.

(i) $x^3+a{x}^2$ - 2x + a + 4

(ii) $x^4-a^2{x}^2$ + 3x - a

Find the area of a triangle whose base and altitude are 5 cm and 4 cm respectively.

A hemispherical tank has inner radius of 2.8 m. Find its capacity in litres.

If AB || CD and XY is a transversal which meets AB at M & CD at N and also $\angle AMX:\angle BMX=3:2$, then $\angle CNY=$

The factorization of $x^3$+1 is

There are 3 semi circles which are arranged in such a manner that it forms a triangle, as shown in the figure below. If the radius of semicircle A is 4 cm and the radius of semicircle B is 7.5 cm, then find the radius of the semicircle C.

Factorize: $a^2+10a+24$

A chord of a circle is equal to the radius of the circle. Find the angle subtended by the chord at a point on the minor are and also at a point on the major are.

In the adjoining figure,CE||AD and CF||BA.Prove that $ar\left(△CBG\right)=ar\left(△AFG\right)$.

What is the mean of the first 10 prime numbers?

Match the numbers to be subtracted from the respective polynomials so that it is divisible by ($x-1$).

A line passes through the point (-4, 6) and is parallel to x-axis. Find its equation.

Factorise 2root3x^2+11x+4root3

Find the sum of all the exterior angles of a triangle.

Question 8
A design is made on a rectangular tile of dimensions 50 cm $\times$ 70 cm as shown in figure. The design shows 8 triangle, each of sides 26 cm, 17 cm and 25 cm. find the total area of the design and the remaining area of the tiles.

Find three rational number between √2 and √3

Match the correct decimal form to its fractional form.

If the circumference of the top of an ice cream cone of slant height 6 cm is 22 cm. Its total surface area is

The centre of the circle passing through (0, 0) and (1, 0) and touching the circle

Factorize

√2 x^2+3x+√2

Which of the following expressions are factorizable ?

If in the class, 25 marks are achieved by 4 students and 35 marks are achieved by 4 students, the average score of the class is _______.

The circumference of the base of a cylinder is 11 cm. If the height of the cylinder is 4 cm, then find its volume.

What is reference point?

1. 5

Question 6 (i)
A teacher wanted to analyze the performance of two sections of students in a mathematics test of 100 marks. Looking at their performances, she found that a few students got under 20 marks and a few got 70 marks or above.So she decided to group them into intervals of varying sizes as follows : 0−20,20−30…60−70,70 − 100. Then she formed the following table:
$\begin{array}{cc}\text{Marks}& \text{Number of student}\\ 0-20& 7\\ 20-30& 10\\ 30-40& 10\\ 40-50& 20\\ 50-60& 20\\ 60-70& 15\\ 70-above& 8\\ \text{Total}& 90\end{array}$
(i) Find the probability that a student obtained less than 20% in the mathematics
test.

The angle of elevation of a cloud from a point 60 m above a lake is ${30}^{\circ }$ and the angle of depression of the reflection of cloud in the lake is ${60}^{\circ }$. Find the height of the cloud.

If three sides of a quadrilateral are equal and the fourth is not equal to the first three, then which of these can the quadrilateral possibly be?

The maximum number of zeroes the polynomial $x^7+x^5+x^3+x+1$ can have is _______.

Question 2 (iv)
Write the point identified by the coordinates (2, -4).

$S_1$ : Sum of 5 consecutive odd numbers
$S_2$ : Sum of 4 consecutive even numbers

Sum of twice of $S_1$ and thrice of $S_2$ is 178. Also, thrice of $S_1$ and twice of $S_2$ is 177.

If all the 9 numbers are arranged in ascending order, the sum of the smallest and largest number is

The cost of painting the inner curved surface area of a cylindrical container of depth 20 m is Rs. 8800. Painter takes Rs. 40 per metre square to paint the cylindrical container. Find the inner curved surface area of the vessel.(in $m^2$)

Which of the following fraction is recurring decimal?

A sum of money invested at compound interest amounts to ₹ 19,360 in 2 years and to 23,425.60 in 4 years. Find the rate percent

If you represent the following statement in the form of a linear equation, which of the options are correct?
If we buy 2 tickets to station A and 5 tickets to station B, the total cost is Rs. 77.

In the given figure, AB is the diameter of a circle with centre O. $\angle$ = ${130}^o$ . FInd : (i) $\angle$ DAB (ii) $\angle$ DBA

Identify the number of triangles similar to $\Delta$ABC if B is a right angle, and BD is perpendicular to AC and DE is perpendicular to BC.

An irrational number between 3 and 4 is .

In $△$ PQR, right angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the value of cos R.

If $\frac{y}{b+c-a}=\frac{z}{c+a-b}=\frac{x}{a+b-c}$ and
$x+y+z\ne 0$, then which of the following hold true?