EMRS PGT Mathematics Mock Test - 7 - EMRS MCQ

The correct answer is 2009.

Key Points

• The 86th amendment to the constitution of India in 2002, provided the Right to Education as a fundamental right in part-III of the Constitution.
• The first official document on the Right to Education was Ramamurti Committee Report in 1990.
• Tapas Majumdar Committee (1999) was set up, which encompassed the insertion of Article 21A.
• The Right to Education serves as a building block to ensure that every child has his or her right to get a quality elementary education.

Important Points

• Features of Right to Education (RTE) Act, 2009 -
  • The RTE Act aims to provide primary education to all children aged 6 to 14 years.
  • It enforces Education as a Fundamental Right (Article 21).
  • The act mandates 25% reservation for disadvantaged sections of the society.
  • It had a clause for “No Detention Policy” which has been removed under The Right of Children to Free and Compulsory Education (Amendment) Act, 2019.
  • It also states that sharing of financial and other responsibilities between the Central and State Governments.

Additional Information

• Some important 'Parts' of the Indian Constitution:
  • Part 2 - Citizenship
  • Part 3 - Fundamental Rights
  • Part 4 - Directive Principles of State Policy
  • Part 4A - Fundamental Duties
  • Part 14 - UPSC and SPSC.
  • Part 15 - Election Commission
  • Part 17 - Official language
  • Part 20 - Amendment of Constitution

The correct answer is January 24.

Key Points

• National girl child day is celebrated every year on the 24th of January as a national observance day for the girl child.
• It is to offer more support and new opportunities for the girls in the country.
• It aims to increase awareness among people about all the inequalities faced by the girl child in society.
• It was initiated in 2008 by the Ministry of Women and Child Development and the Government of India.
• The Government of India has started National Girl Child Day to bring equality in society as a campaign.

Additional Information

• The International Girl Child Day is celebrated every year on 11th October.

1) DARKEST – SKATEBOARD (Can be formed)

2) ABROAD – SKATEBOARD (Can be formed)

3) STRIKE – SKATEBOARD (Cannot be formed because I is missing)

4) BEAST – SKATEBOARD (Can be formed)

Hence, the correct answer is “STRIKE”.

GIVEN:

The average of 40 numbers = 25

CONCEPT:

Basic Average concept.

FORMULA USED:

Average = Sum of all numbers/Total numbers

CALCULATION:

Sum of numbers = 40 × 25 = 1000

23, 25 and 41 are mistakenly written as 32, 52 and 15 respectively.

⇒ Change in sum = (23 + 25 + 41) – (32 + 52 + 15)

= 89 – 99

= -10

Actual sum of numbers will be 10 less.

⇒ Sum of numbers = 1000 – 10 = 990

∴ Correct average = 990/40 = 24.75

Preparing the family tree using the following symbol:

According to the given information,

Hence, Q is the grandmother of S.

Hence, the person does not satisfy all the conditions.

Types of URLs:
There are two types of URLs: absolute and relative.
Absolute URLs:
Absolute URLs provide the complete address of a webpage, including the protocol (http:// or https://), domain name, and file path. They are used to link to webpages outside of the current website. Examples of absolute URLs include:
- http://www.example.com/index.html
- https://www.google.com/search?q=example
Relative URLs:
Relative URLs provide a partial address of a webpage, which is relative to the current webpage's location. They are used to link to webpages within the same website. Examples of relative URLs include:
- index.html (links to a webpage in the same directory)
- ../about.html (links to a webpage in the parent directory)
- /contact.html (links to a webpage in the root directory)
Difference between Absolute and Relative URLs:
- Absolute URLs include the full address, while relative URLs only include a partial address.
- Absolute URLs can be used to link to any webpage on the internet, while relative URLs are limited to the current website.
- Absolute URLs are typically longer and contain more information, while relative URLs are shorter and more concise.
Conclusion:
In summary, URLs can be classified into two types: absolute and relative. Absolute URLs provide the complete address of a webpage, while relative URLs provide a partial address relative to the current webpage's location. Understanding the difference between these two types of URLs is essential for effectively linking webpages within a website.

The HTTP Protocol
The HTTP protocol, which stands for HyperText Transfer Protocol, is a protocol that defines how messages are formatted and transmitted over the internet. It specifies the actions that web servers and browsers should take in response to various commands. Here's a detailed explanation of the HTTP protocol:
1. Message Formatting:
- HTTP messages consist of a request or a response.
- The request message is sent by a client (such as a web browser) to a server, requesting a specific action to be performed.
- The response message is sent by the server to the client, providing the requested information or indicating an error.
2. Message Transmission:
- HTTP messages are transmitted over TCP/IP, which is the underlying protocol for internet communication.
- TCP/IP ensures that the messages are divided into packets and delivered reliably to the intended recipient.
3. Actions for Web Servers:
- Web servers receive HTTP requests from clients and process them.
- They perform actions such as retrieving resources (HTML files, images, etc.) from the server's file system or executing server-side scripts.
- The server then constructs an HTTP response message and sends it back to the client.
4. Actions for Web Browsers:
- Web browsers initiate HTTP requests to web servers to retrieve web pages.
- They send a request message specifying the desired resource (e.g., a URL).
- The browser then receives the response message from the server and renders the web page for the user to view.
5. Commands and Responses:
- HTTP defines a set of commands (methods) that clients can use in their requests, such as GET, POST, PUT, and DELETE.
- The server responds to these commands with specific status codes, indicating the success or failure of the request (e.g., 200 for success, 404 for not found).
Conclusion:
The HTTP protocol is essential for communication between web servers and web browsers. It defines the format and transmission of messages, as well as the actions to be taken by servers and browsers. It enables the retrieval and rendering of web pages, making it a fundamental protocol for the World Wide Web.

In explore learning phase, the students investigate the topic more thoroughly. They need not be over-directed and need to find their way to the materials. They will need some direction and the teacher can circulate, asking important questions, listening to their interactions, and ensuring that they remain on task.
The 6 E's and S (Engage, Explore, Explain, Elaborate, Evaluate, Extend, and Standards) lesson plan format was developed by teachers, in consultation with faculty from schools of education, and is based on a constructivist model of teaching. The lesson plans are based on constructivist instructional models, with activities and sections of the plan designed to have the students continually add (or construct) new knowledge on top of existing knowledge.

Given x ² - 3x = 0 
Factor x out in the expression on the left. 
x (x - 3) = 0 
For the product x (x - 3) to be equal to zero we nedd to have 
x = 0 or x - 3 = 0 
Solve the above simple equations to obtain the solutions. 
x = 0 
or 
x = 3 

 y = (x² - 3x + 2)/(x² + x -6)
= [(x-2)(x-1)]/[(x-2)(x+3)]
= (x-1)/(x+3)
= 1 - 4/(x+3)
x is not equal to 2 and -3
For x = 2, y = 1/5
for x = -3, y → 1
Range (y): R - {1, 1/5}

Give lines are :
 and 
The D.R's of the lines are -3, 2p/7, 2 and -3p/7, 1, -5

B ∩ C = {4}, ∴ A ∪ (B ∩ C) = {1, 2, 3, 4}.

l + m + n = 0
and  l² + m² - n² = 0
l² + m² (- l - m)² = 0
2lm = 0  (l = 0 or m = 0)
If l = 0 then n = - m
l : m : n = 0 : l : -1 
If m = 0 then n = - l 
l : m : n = l : 0 : -1 

⇒ θ = π/3

α⋅β = 4
α+β = 2
α²+β² = (α+β)² - 2αβ
= 4−8=−4
(a+b)³ = a³ + b³ + 3ab(a+b)
(α²+β²)³=α⁶ +β⁶+3α²β²(α²+β²)
-64=α6+β6+3*16(-4)
α6+β6=192−64=128

All possible three number multiplications originate from the following triads:
1,1,30
1,2,15
1,3,10
1,5,6
2,3,5
First one can have 3!/2! = 3 ways and the remaining four triads can have 3! combinations
total combinations = 3 + 4*3! = 27

(2+0) + (2+1²) + (2+2²) + (2 3²)+...
∴ t_n = 2+(n-1)²

National education policy 2020:

• The Union Cabinet has approved the new National Education Policy (NEP), 2020 with an aim to introduce several changes in the Indian education system.
• The main goal of the school education regulatory system is to improve educational outcomes so that children can learn to implement the acquired knowledge and skills in their practical life.

Key Points

Experiential learning:

• Experiential learning refers to the learning by gaining experience through active involvement. 
• In all stages, experiential learning will be adopted, including  arts-integrated and sports-integrated education, story-telling-based pedagogy, etc.
• Pedagogical approaches proposed in experimental learning under NEP-2020 includes:
  • Art-integrated education:
    •    It is a cross-curricular pedagogical approach that utilizes various aspects and forms of art and culture as the basis for learning of concepts across subjects.
    • It will be embedded in classroom transactions not only for creating joyful classrooms, but also for imbibing the Indian ethos through integration of Indian art and culture in the teaching and learning process at every level. 
  • Sports-integrated education:
    • It is another cross-curricular pedagogical approach that utilizes physical activities including indigenous sports, in pedagogical practices to help in developing skills such as collaboration, self-initiative, self-direction, self-discipline, teamwork, responsibility, citizenship, etc.
    • Sports-integrated learning will be undertaken in classroom transactions to help students adopt fitness as a lifelong attitude and to achieve the related life skills.
  • Story-telling-based pedagogy:
    • It refers to the art of narrating a story more interactively to people who are willing to listen. It is used as a strategy in teaching which broadens learner's reading choices.
      In a storytelling based pedagogy, the story chosen by the teacher to narrate is directly or indirectly related to the lesson to develop their fullest potential, both educationally and morally.

   ​Hence, it could be concluded that all of the above are the pedagogical approach proposed in experimental learning under NEP-2020.

The sentence seems to mean that the authorities apologized for the trouble it caused to passengers. Hence, the correct word to be used is 'inconvenience' and not 'inconsistency'.
Inconvenience means to cause trouble or problems whereas inconsistent means not to be regular.
Hence, the correct option is 2.

'A drop in the bucket' means that 'a very small amount compared with what is needed or expected'.

"मालिक नौकर से काम करवाता है।” वाक्य में प्रेरणार्थक क्रिया है।

• जिस क्रिया से ज्ञान हो कि कर्ता स्वयं कार्य को न करके किसी अन्य को कार्य करने की प्रेरणा देता है वह प्रेरणार्थक क्रिया कहलाती है।
• जैसे - माता पिता अपने बच्चो के कार्य करवाते है।

Hint

प्रेरणार्थक क्रिया के उदाहरण

• वह सबसे चालान भरवाता है.
• महेश बच्चों को रुलाता है.
• गीता बच्चों को हिंदी पढ़ाती है.
• सुरेश आज नौकर से गाड़ी धुलवाना।
• आज तुम विजय से चाय बनवाना।

Key Pointsअन्य विकल्प

दिए गए विकल्पों में से विकल्प 1 "मैं किशोर को खाना खिलाती हूँ।" सही है।

Key Points

• "मैं किशोर को खाना खिलाती हूँ।" ‘द्विकर्मक क्रिया’ वाले वाक्य है।
• जिस क्रिया के उपयोग से दो कामों के पूरे होने का पता चलता है उसे द्विकर्मक क्रिया कहते हैं।
  • जैसे:- दुकानदार ने ग्राहक को पुस्तक दी। इस वाक्य में दी क्रिया का फल दो कर्मों पर पढ़ता है, इसलिए इस वाक्य में द्विकर्मक क्रिया है।
    • दिए गए वाक्यों में केवल "मैं किशोर को खाना खिलाती हूँ।" में द्विकर्मक क्रिया है। ​

Additional Information

दिए गए विकल्पों में से विकल्प 3 "सामने जो बड़ा सा मकान है, वह मेरा है।" वाक्य में ‘निश्चयवाचक सर्वनाम’ का प्रयोग हुआ है। अन्य विकल्प सही नहीं है ।

Key Points

• "सामने जो बड़ा सा मकान है, वह मेरा है।" वाक्य में ‘निश्चयवाचक सर्वनाम’ का प्रयोग हुआ है।
• जिन सर्वनाम शब्दों से किसी निश्चित व्यक्ति अथवा वस्तु की ओर निकटवर्ती अथवा दूरवर्ती संकेत का बोध होता है उन्हें निश्चयवाचक सर्वनाम कहते हैं।
  • इनके अंतर्गत यह, वह, इस, उस, ये, वे इत्यादि सर्वनाम शब्द आते हैं
• दिए गए विकल्पों में केवल विकल्प 3 ही निश्चित वाचक सर्वनाम है। इसीलिए वह सामने जो बड़ा सा मकान है, वह मेरा है। सही है।

Confusion Points

• वह एक बार फिर अपने विद्यालय में प्रथम स्थान पर रही।
• वह कहाँ गया है?
• दोनों वाक्यों में वह का प्रयोग तो हुआ है लेकिन निकटवर्ती अथवा दूरवर्ती संकेत का बोध नहीं हो रहा है ,इसीलिए यहाँ निश्चितवाचक सर्वनाम नहीं हुआ है।

Additional Information

सही विकल्प 4 "चलन" है। अतः अन्य विकल्प अनुचित उत्तर हैं।

Key Points

• चलना क्रिया से चलन यह भाववाचक संज्ञा रूप बना है।

Additional Information

• क्रिया से निर्मित संज्ञा शब्द:-
  • मारना से मार, काटना से काट, हारना से हार, सीखना से सीख, पलटना से पलट और हड़पना से हड़प आदि भाववाचक संज्ञाएँ बनी हैं।