Explore topic-wise InterviewSolutions in Current Affairs.

Factorise: $x^2-\frac{8}{x}$

Insert a rational number between the following.

1. 2 and 3

2. 0 and 0.1

3. 1/3 and 1/2

4. -2/5 and 1/2

5. 0.15 and 0.16

6. Root 2 que Root 3.

Question 141

One fermi is equal to ${10}^{-15}$ metre. The radius of a proton is 1.3 fermi. Write the radius of a proton (in metres) in standard form.

decimal expansion of 22/7

ABCD is a trapezium in which AB || DC and $\angle$A = $\angle$B = ${60}^{\circ }$. Find $\angle C$ and $\angle D$ of the trapezium. [1 MARKS]

The lateral surface area of a cube is $256m^2$.The volume of the cube is
$\left(a\right)64m^3\left(b\right)216m^3\left(c\right)256m^3\left(d\right)512m^3$

A field in the form of parallelogram has sides 60m and 40m and one of its diagonals is 80m long. Find the area of parallelogram.

The simplest form of $1.\overline{6}$ is

(a)$\frac{833}{500}$

(b)$\frac{8}{5}$

(c)$\frac{5}{3}$

(d) none of these

Plot the points P (1, 0), Q (4, 0) and S (1, 3). Find the coordinate of the point R such that PQRS is a square.

Find the length of cloth used in making a conical pandal of height 100 m and base radius 240 m, if the cloth is 100$\pi$m wide.

Write the following cubes in expanded form: ${(2a-3b)}^3$

If the compliment of an angle is equal to the supplement of the thrice of it find the measure of angle

The figure formed by joining the midpoints of the adjacent sides of a parallelogram is a

(a) rhombus

(b) square

(c) rectangle

(d) parallelogram

What is the value of c when the equation $2y=5x+7$ is written in the standard form $ax+by+c=0?$

The data which has maximum probability of being sampled is called

What is the value of $lo{g}_{\frac{1}{3}}9\sqrt{3}$

A point P is 13 cm from the centre of the circle. The length of the tangent drawn from P to the circle is 12 cm. Find the radius of the circle.

In an art class, suneha sketched a design using geometrical shapes with the help of colours in the following way:

Here, circles in black and blue are the circumcircle and incircle (of the equilateral $\Delta PQR)$ respectively. Then $\angle BAC$ is equal to

Use graph paper for this question. Take 1 cm = 1 unit on both axes.

(i) Plot the points A(2, 2), B(6, 4) and C(3, 6).

(ii) Construct the locus of points equidistant from A and B.

(iii) Construct the locus of points equidistant from AB and AC.

(iv) Locate the point P such that PA = PB and P is equidistant from AB and AC.

Then the length(approximately) of PA in cm is

Solve the following:

A man was engaged as typist for the month of february in $2009.$ He was paid $Rs.500$ per day, but $Rs.100$ per day were deducted for the days he remained absent. He received $Rs.9100$ as salary for the month. For how many days did he work?

Which of these lines passes through the origin?

Which is larger, $(1.01{)}^{1000000}or10000?$

Question 55

Solve the following:

$\frac{y-(4-3y)}{2y-(3+4y)}=\frac{1}{5}$

Fill in the blank with a verb in the correct tense.

Rochelle and Gia _________ back home when they encountered a homeless man by the roadside.

The population of a town was 160000 three years ago. If it had increased by 3%, 2.5% & 5% in the last 3 years, find the present population of the town.

If $T=2\pi \sqrt{\frac{l}{g+k}}$, then which of the following show the correct expression when l is the subject of the​ formula.

The radius of the base and height of a cone and a cylinder are 3 cm and 5 cm respectively. The ratio of their volume is

Find the irrational numbers between root 2 and root 3

Find 5 rational numbers between 3/5 and 4/5.

Question 1 (v)
Which is greater:
2.03 or 2.30

ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If $\angle DBC={70}^{\circ }$ and $\angle BAC={30}^{\circ }$, then $\angle BCD$= ___.

If 2x - y + z = 0, then 4x² - y² + z² + 4xz is equal to

The average height of 30 boys was calculated to be 150 cm. It was detected later that one value of 165 cm was wrongly copied as 135 cm for the computation of the mean. Find the correct mean.

If $A=\{1,2\},$ $B=\{2,4\}$ and $C=\{4,6\},$ then $A\cap (B\cap C)$ = ___.

Let $f:R\to R$ be a mapping, such that $f\left(x\right)=\frac{x^2}{1+x^2}$ Then, f is

In an isosceles triangle, if the vertex angle is twice the sum of the equal base angles, then the angles of the triangle are

The ages of 80 employees of a company are as follows.

$$\begin{array}{cc}Age& Frequency\\ 0-20& 15\\ 20-40& 36\\ 40-60& 13\\ 60+& 16\end{array}$$

Find the probability that an employee chosen at random will be aged between 20 and 40 years.

Question 2
Metallic spheres of radii 6 cm, 8 cm and 10 cm, respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere.

Match the following:

$\begin{array}{cc}a.\text{Interior angles on the same}& \\ \text{side of the transversal}& \left(i\right)1–5,2–6,3–8and4–7\\ b.\text{Alternate exterior angles}& \left(ii\right)4–6,3–5\\ c.\text{Corresponding angles}& \left(iii\right)1–7,2–8\\ d.\text{Alternate interior angles}& \left(iv\right)3–6,4-5\end{array}$