CBSE Class8 - Mathematics - Ch 14 - Factorisation (NCERT Ex 14.1)

Factorisation

NCERT Exercise 14.1 Solutions

Q1: Find the common factors of the terms

(i)   12x, 36

(ii)  2y, 22xy

(iii)  14pq, 28p²q²

(iv) 2x, 3x², 4

(v) 6abc, 24ab², 12a²b

(vi) 16x³, −4x², 32x

(vii) 10pq, 20qr, 30rp

(viii) 3x²y³, 10x³y², 6x²y²z

Answer:

(i) 12x = 2 ☓ 2 ☓ 3 ☓ x

36 = 2 ☓ 2 ☓ 3 ☓ 3

The common factors are 2, 2, 3.

And, 2 ☓ 2 ☓ 3 = 12

(ii) 2y = 2 ☓ y

22xy = 2 ☓ 11 ☓ x ☓ y

The common factors are 2, y.

And, 2 ☓ y = 2y

(iii) 14pq = 2 ☓ 7 ☓ p ☓ q

28p²q² = 2 ☓ 2 ☓ 7 ☓ p ☓ p ☓ q ☓ q

The common factors are 2, 7, p, q.

And, 2 ☓ 7 ☓ p ☓ q = 14pq

(iv) 2x = 2 ☓ x

3x² = 3 ☓ x ☓ x

4 = 2 ☓ 2

The common factor is 1.

CBSE Class 9 - English (C) - CH 12 - Song of the Rain - A summary

Song of the Rain

Summary

Poet: Khalil Gibran

Khaill Gibrain, a Lebanese poet and writer. In his young age, he settled in America. The style of his poems s very formal and it offers a deep insight into various facts of human life. 'The Prohet' his one of the famous works.

                     
Summary:

CBSE Class 12 - NEET - Biology - The Living World (MCQs)

Biology - The Living World

7 MCQs from previous AIPMT/NEET question papers

Q1: The living organisms can be unexceptionally distinguished from the non-living things on the basis of their ability for

(a) responsiveness to touch
(b) interaction with the environment and progressive evolution
(c) reproduction
(d) growth and movement



Q2: There is no life on the moon due to the absence of 

(a) oxygen
(b) water
(c) light
(d) temperature



Q3: Praying Mantis is the example of 

(a) warning coluration
(b) social insects
(c) camouflage
(d) Mullerian mimicry

JEE 2017 - Main and Advanced Examination Dates Announced

JEE 2017 - Main and Advanced Examination Dates Announced

JEE is the topmost examination conducted to get admissions in UG engineering or architecture courses in NITs, IITs and other institutions. It is a 2 stage  examination i.e.

Ist Stage - JEE Mains examination - to get admission in NIT, IIITs and other engineering colleges.
2nd Stage - JEE Advanced to get admission to IITs, IIS and other premier institutes.

Important Changes Made in JEE Main 2017

Class 7 - Science - Weather, Climate and Adaptation of Animals to Climate (MCQs)

 Weather, Climate and
Adaptation of Animals to Climate 

Protect Our Environment

Class 7 - Science - NCERT Exemlar MCQs Answers

Q1: The maximum and minimum temperature displayed daily in the weather bulletin refer to the –

(a) highest day temperature and lowest night temperature of the day.
(b) highest day temperature and highest night temperature of the month.
(c) temperature recorded at 12 noon and at mid night (00.00 hrs).
(d) average highest temperature of day and average lowest temperature of night.




Q2: Paheli went to a wildlife sanctuary where she saw dense vegetation of trees, shrubs, herbs and also a variety of animals like monkeys, birds, elephants, snakes, frogs, etc. The most likely location of this sanctuary is in the –

(a) temperate region
(b) tropical region
(c) polar region
(d) coastal region




Q3: Out of the given definitions, which is the most appropriate definition of climate?

(a) Changes in weather conditions in a year.
(b) Average weather pattern of many years.
(c) Change in weather pattern in a few years.
(d) Weather conditions during summer.



Q4: Which of the following briefly describes the desert climate?

(a) Hot and humid
(b) Dry and humid
(c) Hot and dry
(d) Hot and wet

CBSE Class 10 - History - THE RISE OF NATIONALISM IN EUROPE

THE RISE OF NATIONALISM IN EUROPE

Commonly Asked Questions

Q1: What was Federic Sorrieu's dream of 'Democratic Republics'?

Answer: In 1848, Federic Sorrieu prepared a print called 'The Dream of Worldwide Democratic and Social Republic. He tried to visualise his dream of a world made up 'democratic republics'. According to him:

1. People of Europe and America marching and forming a long train towards the statue of liberty and offering homage to it.

2. He personified liberty as a female figure.

3. In his glorified dream, he grouped people of the world as distinct nations which are identified by their national costumes and national flags.

4. From heavens, Saints and angels gaze upon the scene symbolising the fraternity among the nations of the world.


Q2: How the concept of nation was visualised in Europe in 18th and 19th century?

Answer:
1. Artists in 18th and 19th centuries tried to give a face and personify the concept of a nation.
2. Nations were portrayed as female figures and alma mater (motherlands).
3. The Female figure became an allegory of the nation. e.g. Germania. In her visual representation, Germania wears a crown of oak leaves as the German Oak stands for heroism.

CBSE Class 9, 10, 11, 12 - Mathematics - Know about Special Constants

Know about Special Constants

Change is the only constant in our lives. However, there are constants or constant numbers that are frequently used in the domains of Science, Mathematics, Economics etc.

Do you know what is golden ratio?

What is the value of Pi?

What are transcendental numbers?

What's the value of cube root of 2?