Explore topic-wise InterviewSolutions in Current Affairs.

The following figure has centroid at the point O

If AO = 6 cm , find the length of OR.

If AB = 2 m, then find the perimeter of the $△$ ADB.

Given that ACBD is a kite. By which congruency property are the triangles ACB and ADB congruent?

Which of the following operations could make the expression $x^2+\frac{8x}{\sqrt{3}}$ a perfect square?

‘p’ and ‘q’ are the zeroes of the polynomial $a{x}^2+bx+c=0$.

(x-p) and (x-q) are the only factors of the expression $a{x}^2+bx+c$,

The values of $a$ and $b$ are:

A body travels one third of the distance at speed 10km/h, next one third at speed 20km/h and the remaining at speed of 40km/h. What is the average speed for entire journey?

Find the area of a parallelogram ABCD in which AB = 3 cm and BC = 4 cm and AC = 5 cm using Heron's formula.

A hexagonal tank has sides of its base as 4 m each. The height of the tank is 10 m. Find the volume of the water tank.

If the sum of the circumferences of two circles with radii $R_1$ and $R_2$ is equal to the circumference of a circle of Radius R then _________.

Given a rectangle ABCD and P,Q,R,S mid-points of AB,BC,CD and DA respectively. If length of diagonal of rectangle is 8 cm , the quadrilateral PQRS is:

If $x=3$ and $y=-2$ then the value of $x^x+y^{-y}$ is ___

Which of the following is a true statement ?

(a) Only a unique line can be drawn to pass through a given point.

(b) Infinitely many lines can be drawn to pass through two given points.

(c) If two circles are equal,then their radii are equal.

(d) A line has a definite length.

The line represented by the equation x = a is perpendicular to ____.

If $x=7+4\sqrt{3}$, the value of $\sqrt{x}$ is ________.

Select the factors of $a^2+7a+10$

$\sqrt{3}$ is a/an __ number.

The value of $\frac{4+\sqrt{5}}{4-\sqrt{5}}+\frac{4-\sqrt{5}}{4+\sqrt{5}}$

From the below table, which of the following conclusions can be drawn ?

The volume of an object is defined as:

Simplify : ${\left[{\left\{\right(625{)}^{\frac{-1}{2}}\}}^{\frac{-1}{4}}\right]}^2$

Question 2
In the figure, find tan P – cot R.

If a sphere of radius 2r has the same volume as that of a cone with a circular base of radius r, then find the height of the cone.

In $△$ABC, AC $>$ AB and AD bisects $\angle$A. Which of the following option is correct?

State True or False.

In the given figure, common tangents AB and CD to the two circles with centre O1 and O2 intersect at E. Then AB = CD .

Question 8
A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas.

In a cricket tournament, the total runs scored by 10 batsmen are:-

212, 134, 101, 89, 45, 121, 323, 202, 76, 87

The median of this data is

Sum of the interior angles of a regular pentagon =

In the figure, computer the value of x,

In the adjoining figure, BC is a diameter of a circle with centre O. If AB and CD are two chords such that AB || CD, prove that AB = CD.

Using the information given in the figure, which of the given option(s) show $\Delta ABC$ with all three vertices on the circle and equal in area to $\Delta OAB$?

Question 13

Which of the following represents $\frac{1}{3}$ of $\frac{1}{6}$ ?

(a) $\frac{1}{3}+\frac{1}{6}$
(b) $\frac{1}{3}-\frac{1}{6}$
(c) $\frac{1}{3}\times \frac{1}{6}$
(d) $\frac{1}{3}÷\frac{1}{6}$

There are 200 packets in a large box and each packet contains 3 electric devices in it. On testing, at the time of packing, it was noted that there are some faulty pieces in the packets. The data is as below

$$\begin{array}{cccccc}\text{No of faulty devices in a packet}& \text{Less than 24}& 24-36& 36-48& \text{more than 48}& \text{Total Batteries}\\ \text{Number of batteries}& 50& 240& 550& 160& 1000\end{array}$$

(i) If a buyer will only tolerate atthe maximum one faulty piece in a packet, what is the probability that a packet will be rejected?
(ii) Another buyer will only take packets with all the pieces functional. What is the probability that a packet will be rejected? [4 MARKS]

1. 18

Question 163(ii)

Supply the missing information for each diagram.

If $p\left(x\right)=x^3-3x^2-9x-9$, find p(0), p(3), p(-3) and p(-1). What do you condlude about the zeros of p(x)? Is 0 a zero p(x)?

Question 166

A mobile number consists of ten digits. First, four digits are 9,9,7 and 9. Make the smallest mobile number by using only one digit twice from 8,3,5,6,0.

In the figure, A is the centre of the circle. ABCD is a parallelogram and CDE is a straight line. Find $\angle BCD:\angle ABE$.

Let two non-collinear unit vectors $\hat{a}\text{and}\hat{b}$ form an acute angle. A point P moves so that at any time t the position vector
$\overrightarrow{OP}$ (where, O is the origin) is given by
$\hat{a}\cos t+\hat{b}\sin t$. When P is farthest from origin O, let M be the length of $\overrightarrow{OP}$ and $\hat{u}$ be the unit vector along $\overrightarrow{OP}$. Then,

A man can row 40 km upstream and 55 km downstream in 13 hours. He can also row 30 km upstream and 44 km downstream in 10 hours. Find the speed of the boat in still water and the speed of the current.

Select the correct approach for solving a pair of linear equations in 2 variables by elimination method.
i) Add or subtract one equation from the other so that one variable gets eliminated.
ii) Multiply both the equations by any non-zero constant to make the coefficients of one variable (either x or y) numerically equal.
iii) Solve the equation in one variable (x or y) to get its value.
iv) Substitute the value of x (or y) in either of the original equations to get the value of the other variable.

1. 266