NVS PGT Mathematics Mock Test - 6 - NVS TGT/PGT MCQ

The correct answer is Ethyl mercaptan.

Key Points

• The stench due to leakage from the LPG cylinder because of Ethyl mercaptan.
  • LPG gas is basically propane and butane.
  • It is odourless in its natural state.
  • The smell that you notice when there is a leak is actually the stench of an entirely different agent, called ethyl mercaptan​.
    • This substance is added to the gas when it leaves the main storage terminals.
• Hence, option 4 is correct.

• Methane :
  • Methane is a chemical compound with the chemical formula CH₄.
  • Methane is a one-carbon compound in which the carbon is attached by single bonds to four hydrogen atoms
  • It is a group-14 hydride and the simplest alkane and is the main constituent of natural gas.
  • It is a colourless, odourless, non-toxic but flammable gas.
  • It has a role as a fossil fuel, a member of greenhouse gas, and a bacterial metabolite.
• Butane :
  • Butane or n-butane is an alkane with the formula C₄H₁₀.
  • Butane is a gas at room temperature and atmospheric pressure.
  • Butane is a highly flammable, colourless, easily liquefied gas that quickly vaporizes at room temperature.
  • Butane is a hydrocarbon and a highly flammable, colourless, odourless, easily liquefied gas.
  • It is typically used as fuel for cigarette lighters and portable stoves, a propellant in aerosols, a heating fuel, a refrigerant.
• Propane :
  • Propane is a three-carbon alkane with the molecular formula C₃H₈.
  • It is a gas at standard temperature and pressure, but compressible to a transportable liquid. 
  • Propane is a flammable hydrocarbon gas that is liquefied through pressurization and commonly used for fuel in heating, cooling, hot water, and vehicles.
  • Propane can also be used for refrigerants, aerosol propellants, and petrochemical feedstock.​ 

Data Types in Excel:

- Text: This data type is used to store alphanumeric characters, such as names, addresses, and descriptions.
- Number: This data type is used to store numerical values, such as integers, decimals, and currency.
- Label: This data type is not a valid data type in Excel. It is not used to store any specific type of data.
- Time: This data type is used to store time values, such as hours, minutes, and seconds.
- None of these: This option is not applicable in this case, as the question asks for the invalid data type.
Explanation:
The correct answer is option C: Label. This is because Label is not a valid data type in Excel. The other options, Text, Number, and Time, are all valid data types that can be used to store different types of data in Excel.
Conclusion:
In Excel, the Label data type does not exist. The valid data types in Excel include Text, Number, and Time.

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.

As the teacher is following the principles of naturalism, she will not utilise project method. This is because project method is advocated by pragmatist and is focused mainly on child-in-society concept. The methods of teaching as per the naturalist include heuristic method, play-way method, observations and experiments.

Disciplinary issues come up when a teacher fails to engage students in a meaningful and constructive programme. The nature of students is volatile. They are easily distracted by things. Only a constructive programme could help them gain attention towards the meaningful tasks conducted in the classroom, so that their mind remains occupied to the most productive tasks.

cos2θ = cos2θ − sin2θ
And: cos2θ + sin2θ=1
we find:
cos2θ=(1−sin2θ)−sin2θ=1−2sin2θ
θ = θ/4
cosθ/2 = 1−2sin²θ/4

In quadrant sin, cos tan, cot, sec, cosec all +ve .In second quadrant sin and cosec are +ve. in 3rd quadrant tan and cot are positive.And in 4th cos and sec are +ve.

For line y=c to be tangent to the given circle at point (1,1)
It has to pass through (1,1)
⇒ c = 1

L.H.S. = sin(60+A)cos(30−B)+cos(60+A)sin(30−B)        
= sin[(60+A)+(30−B)]            (Using, sin(A+B)sinAcosB+cosAsinB)            
= sin(90+A−B)            
= sin(90+(A−B))            
= cos(A−B)            (Using, sin(90+θ)=cosθ)       = R.H.S.Hence Proved.

where n is order of matrix. Here n = 3.

The equation of a circle with center (h,k) and radius r is given by (x−h)²+(y−k)²=r² . 
For a circle centered at the origin, this becomes the more familiar equation x²+y²=r²

Equation of circle is given by,

L.H.S. is positive for all x ∈ R

Let D₁ = b² – 4ac and  D₂ = d²  + 4ac
As ac ≠ 0, either ac < 0 or ac > 0
If ac < 0, then D₁ > 0
In this case P(x) = 0 has distinct two real roots 
If ac > 0, the D₂ > 0
In this case Q(x) = 0 has two distinct real roots.
Thus, in either case P(x)Q(x) = 0 has at least two distinct real roots. 

1 + tan² x = sec² x
∫(π/2 to π/4)(sec² x)/(1 + tan² x)
=> ∫(π/2 to π/4)(sec² x)/(sec² x) dx
= ∫1(π/2 to π/4) dx
= [x](π/2 to π/4)
= π/2 - π/4  =  π/4 

One of the goals of education is to develop independent learning in students. However, at times, students might need a little push from the teacher in order to achieve that independence. Scaffolding is a technique that helps during such a scenario.

Action research in education can be defined as the process of studying a school situation to understand and improve the quality of the educative process. It is an attractive option for teacher researchers, school administrative staff, and other stakeholders in the teaching and learning environment to consider. . It provides practitioners with new knowledge and understanding about how to improve educational practices or resolve significant problems in classrooms and school. 

The Assessment process should not be boring, or it should be on the basis of only one aspect. The teacher should be careful about using a variety of ways to collect information, about the students learning across scholastic and co-scholastic boundaries. Only scholastic areas should not be focused on assessment. It should also include co-scholastic areas.
Hence, the correct answer is, 'Using a variety of ways to collect information about the students learning across scholastic and co-scholastic boundaries.'

The word 'between' is used when two things or persons are being compared or depicted.
Example-I had to select between the two destinations for the vacation.
Thus, the statement should read as 'Kajal was sitting between Prachi and Isha at the party that night.'

The sentence is predicting that the person concerned will not be able to attend a function the next day. Hence, it should be in the simple future tense.
As desired all the features are present in the given statement and it is grammatically correct too. 
The phrase 'to make it to ___' means to come somewhere. You use this to talk about attending events or meeting people.
Option 4 is correct as no further improvement to the sentence is required. 

उपर्युक्त में से उत्क्षिप्त व्यंजन है - 'ड़, ढ़'

• उत्क्षिप्त का अर्थ होता है फेंकना या फेंका हुआ है।
• अतः वें व्यंजन जिनके उच्चारण में जिह्वा का अग्र भाग वेग से ऊपर उठकर मूर्धा से टकराकर तुरन्त उसी वेग से नीचे लौट आता है,
• उन्हें उत्क्षिप्त व्यंजन के साथ ताड़नजात व्यंजन या द्विस्पृष्ट व्यंजन भी कहते हैं।
• सिर्फ 'ड़, ढ़' ताड़नजात व्यंजन या द्विस्पृष्ट व्यंजन कहते हैं।न

Key Pointsकुछ महत्वपूर्ण वर्ण के उच्चारण-स्थान:-

• कंठ्य (गले से) :- क, ख, ग, घ, ङ
• तालव्य (कठोर तालु से) :- च, छ, ज, झ, ञ, य, श
• मूर्धन्य (कठोर तालु के अगले भाग से) :- ट, ठ, ड, ढ, ण, ड़, ढ़, ष
• दंत्य (दाँतों से) :- त, थ, द, ध, न
• वर्त्स्य (दाँतों के मूल से) :- स, र, ल
• ओष्ठय (दोनों होंठों से) :- प, फ, फ़, ब, भ, म
• दंतौष्ठय (निचले होंठ व ऊपरी दाँतों से) :- व

वर्ण अन्तःस्थ व्यंजन के अंतर्गत नही आता है - 'ह'

• श वर्ग - 'ह'
  • 'ह' वर्ण उष्म व्यंजन के अंतर्गत आता है।
  • इसका उच्चारण स्थान स्वर यंत्र (कंठ के भीतर स्थित) है।
• जिन वर्णो के उच्चारण के समय हवा मुँह के विभिन्न भागों से टकराये और साँस में गर्मी पैदा कर दे उन्हें उष्म व्यंजन कहते है।
• हिन्दी में उष्म व्यंजनों की संख्या 4 होती है-
  • श वर्ग - श, ष, स, ह

Key Pointsअन्तःस्थ:-

• अन्तःस्थ व्यंजन में 'अन्तः’ का अर्थ भीतर तथा 'स्थ' का अर्थ स्थित होता हैं।
• उच्चारण के समय जो व्यंजन मुँह के भीतर ही रहे, उन्हें अन्तःस्थ व्यंजन कहते हैं।
• हिन्दी में अन्तःस्थ व्यंजनों की संख्या 4 होती है-
  • य वर्ग - य , र , ल , व

Additional Information

सही उत्तर 'जोगन' है।

• 'जोगन' शब्द में महाप्राण व्यंजनों का प्रयोग नहीं हुआ है।
• जोगन' शब्द में अल्पप्राण व्यंजनों का प्रयोग हुआ है।
• अल्पप्राण व्यंजन वह व्यंजन होतें हैं जिन्हें बहुत कम वायु-प्रवाह से बोला जाता है जैसे कि 'क', 'ग', 'ज' और 'प'।
• इनकी संख्या 15 होती है।

Key Points अन्य विकल्पों का विश्लेषण:

• खीझ, झूठ और घाघ शब्दों में महाप्राण व्यंजनों का प्रयोग हुआ है।

• भाषा विज्ञान में महाप्राण व्यंजन वह व्यंजन होतें हैं जिन्हें मुख से वायु-प्रवाह के साथ बोला जाता है, जैसे की 'ख', 'घ', 'झ' और 'फ'।

Additional Information