Explore topic-wise InterviewSolutions in Current Affairs.

(a) In the following figure, the base of a triangle is parallel to the line $l$ and $\angle 1=\angle 2$. Prove that line BC & $m$ are parallel to each other. [4 MARKS]

(b) Consider the following figure. Find the angle y.

Evaluate $\sqrt[3]{3\frac{-27}{1331}}$

The marks obtained by 27 students of std 8 in a test of 10 marks are given below. Find the mean of the data.

5, 2, 4, 8, 9, 4, 5, 6, 7, 2, 5, 5, 9, 7, 7, 5, 7, 8, 9, 2, 2, 4, 5, 6, 7, 4, 2

There are a total of 9 chocolates , 3 each in the flavors of coffee, cherry and grape. There are also 4 children. If each child is allowed to choose their own favorite flavor, what is the probability that all of
them will get flavors of their choice?

The square root of the 19.36 is _____.

From sections A and B of class eight put together half of the children opted for karate, one fourth opted for basketball one eight opted for football ,one tenth opted for Taekwondo and 2children opted for horse riding, how many students are there in section A if both sections have the same number of students.

In a survey of 85 families of a colony, the number of members in each family was recorded and the data has been represented by the following bar graph.

Read the bar graphcarefully and answer the following questions :

(i) What information does the bar graph give ?

(ii) How many families have 3 members ?

(iii) How many people live alone ?

(iv) Which type of family is the most common ? How many members are there in each family of this kind ?

Find the square root of :

(i) 4.2025 (ii) 531.7636

(iii) 0.007225

When 6 is added to the numerator of a fraction, the numerator becomes twice the denominator. In another fraction, 10 times the denominator exceeds 5 times the numerator by 30. The number of solutions for the given equations is

In the number 163__ fill in the blank in such a way so that the new number obtained is exactly divisible by 3.

Terms are added to form ___.

$\text{In the given figure,}\Delta ABC\text{and}\Delta OBC\text{are both isosceles.}$
$\text{It can be concluded that:}$

Define associativity of addition, subtraction, multiplication and division for whole numbers.

Hermish borrows Rs 25000 at 5% simple interest for two years. He immediately lends this money at compound interest at the same rate for the same time. What is the additional amount he gets at the end of two years correct to the nearest rupee?

The area of the following triangle is:

Question 85 (x)

Expand the following, using suitable identities.

$(2x-5y)(2x-5y)$

Factorise the expression:
$z-7+7xy-xyz.$

Find the total cost of fencing a square whose area is 64 $c{m}^2$, if the rate of fencing is ₹ 2 per meter.

Simplify:

$x^2(x+2y)(x-3y)$

In a quadrilateral ABCD, AB = 7 cm, BC = 5 cm, AC = 9 cm, AD = 6 cm, CD = 2 cm. Which of the following options is true about the construction of a quadrilateral ABCD?

A fraction is ______.

Factorise :

$9a^2{b}^2-25$

Factorise:
$x^2+15x+56$

A ball falls vertically after being dropped. It falls 20 metres in a time of 2 seconds. If 'd' is the distance in meters and t (in seconds) is the time taken where d is directly proportional to the square of t, how much time the ball will take to fall 605 m?

Find the area of trapezium whose parallel sides are of length 16 dm and 22 dm and whose height is 12 dm.

Find the pattern to find the sum of odd numbers. [2 MARKS]

Draw bar graph for the given data.
$\begin{array}{cc}\text{players}& \text{score}\\ \text{Rahul}& 90\\ \text{Sachin}& 99\\ \text{Sehwag}& 30\\ \text{Gambhir}& 30\\ \text{Yuvraj}& 48\\ \text{Kohli}& 82\\ \text{Zaheer}& 0\\ \text{Nehra}& 1\\ \text{Mishra}& 19\end{array}$

[3 MARKS]

A student comments that the speed of object Q is decreasing and the speed of object P is increasing. State whether the comment is correct or incorrect.

Justify your answer.

Choose the pair of equations which satisfies the point (1, -1).

Area of a circle whose radius is $7cm$ is

Number of Faces in a Cuboid :

Square numbers can only have _________ numbers in the unit place.

HCF of $x^3{y}^5{z}^3$, $x^2{y}^4{z}^2$ and $x^2{y}^2{z}^2$ is $x^a{y}^b{z}^c$. a+b+c = _______________

The surface area of the cube of side 6 cm is equal to

x/2x-(6+6x)=-2/7

The six faces of a cube are coloured black, brown, green, red, white and blue.

(i) Red is opposite to black

(ii) Green is between red and black

(iii) Blue is adjacent to white

(iv) Brown is adjacent to blue

(v) Red is at the bottom

The four adjacent colours are

Question 3
A 15 m long ladder reached a window 12 m high from the ground on placing it against a wall at a distance a. Find the distance of the foot of the ladder from the wall.

The dimensions of a cuboidal tin are $30cm\times 40cm\times 50cm$ . Find the cost of tin required for making $20$ tin , if the cost of the tin sheet is $Rs.20$ per $m^2$

A man got a $10\%$ increase in his salary. If his new salary is $Rs.1,54,000$, find his original salary.

Solve: