NVS TGT Math Mock Test - 9 - NVS TGT/PGT MCQ

India has reduced the windfall tax on domestically produced crude oil from Rs 9,600 to Rs 8,400 per metric ton, effective May 1. This adjustment reflects a decrease in the tax burden on crude oil producers, aimed at fostering a conducive environment for the oil industry while ensuring reasonable taxation.

Mohan Yadav has been officially announced as the chief minister-elect for Madhya Pradesh by the Bharatiya Janata Party (BJP).

The Uttarakhand government plans to introduce the Uttarakhand Public and Private Property Damage Recovery Bill in the upcoming budget session. This legislation aims to hold rioters financially responsible for damages to both government and private property during protests or strikes. If enacted, Uttarakhand would be the third state, following Uttar Pradesh and Haryana, to implement such a law. The initiative aligns with the government’s agenda to uphold law and order and safeguard public and private assets from unlawful destruction.

The "D" marked on the field hockey pitch is also known as the "shooting circle." It marks the spot from where penalty corners are taken.

Justice Dinesh Kumar assumed the role of Presiding Officer of the Securities Appellate Tribunal (SAT) on April 29, 2024. He was appointed by the government of India for a four-year term, bringing his extensive legal experience, including serving as the chief justice of the Karnataka High Court, to the tribunal.

When the digits of the number '6379452' are arranged in ascending order,
then rearrangement will be 2 3 4 5 6 7 9

Now, fourth digit from the left = 5

Second digit from the right = 7

Sum of fourth and second digit = 5 + 7 = 12

'Jade' is a 'green' precious stone in the same way 'Garnet' is a 'red' precious stone.

Cryptography technique is used in Protection
Cryptography is a technique used to secure and protect sensitive information by converting it into an unreadable format. It involves the use of mathematical algorithms to encrypt and decrypt data. Here's how cryptography is used in protection:
1. Data Encryption: Cryptography is used to encrypt data, making it unreadable to unauthorized individuals. The encrypted data can only be decrypted using the correct encryption key or password.
2. Secure Communication: Cryptography is used to secure communication channels by encrypting the data transmitted between two parties. This ensures that the information remains confidential and cannot be intercepted or tampered with.
3. Authentication: Cryptography is used in authentication processes to verify the identity of individuals or systems. It allows for the creation of digital signatures, which can be used to ensure the integrity and authenticity of messages or documents.
4. Secure Storage: Cryptography is used to protect data stored in various systems or devices. It ensures that even if the data is compromised or stolen, it remains encrypted and unusable without the encryption key.
5. Access Control: Cryptography is used in access control mechanisms to protect sensitive information from unauthorized access. It allows for the secure storage and transmission of passwords and other authentication credentials.
In conclusion, cryptography plays a crucial role in protecting sensitive information and ensuring the confidentiality, integrity, and authenticity of data. It is used in various applications such as secure communication, data encryption, authentication, secure storage, and access control.

Print Chart:

• A: Refers to a printed chart.


• B: Indicates a chart that is filled in by an analyst while formatting a report.


• C: Describes a chart that is prepared by users.


• D: States that the chart is printed by a computer.

The correct answer is B, as it specifically mentions that the chart is filled in by an analyst while formatting a report. Let's further explain each option:
A: A printed chart: This option refers to a chart that has been physically printed, but it does not specify who prepares or fills in the chart.
B: One which is filled in by an analyst while formatting a report: This option explicitly states that the chart is filled in by an analyst during the process of formatting a report. This suggests that the chart is part of the report and is completed by an analyst with the necessary data.
C: Prepared by users: This option indicates that the chart is prepared by users, but it does not mention who these users are or how the chart is used in the context of a report or formatting.
D: Printed by computer: This option suggests that the chart is printed by a computer, but it does not provide any information about who creates or fills in the chart.
In conclusion, the correct option is B as it clearly specifies that the chart is filled in by an analyst while formatting a report.

A polynomial of degree 3 is called a cubic polynomial. 

For example, x³−1, 4a³ − 100a² + a − 6, and m²n + mn² are all cubic polynomials with atmost 3 zeroes (having degree 3).

Hence, the polynomial having atmost 3 zero is a cubic polynomial.

AC=54cm, Radius=AO=54/2=27cm
Area of the bigger circle= πR²= 22/7 * 27 * 27=2291 (approx)
Diameter of the smaller circle=54-10=44
Radius=44/2=22
Area of the smaller circle= πr²=22/7 * 22 * 22=1521 (approx)
Area of the shaded region=Area of the bigger circle-Area of the smaller circle
= 2291-1521=770 cm²

Two intersecting lines cannot be parallel to a common line.

Key Points

• Accurate Measurement: Validity ensures that evaluations measure what they are supposed to measure accurately.
• Credibility and Trustworthiness: Valid evaluations are more credible and trustworthy to stakeholders.
• Usefulness of Results: Validity ensures that evaluation findings are useful for decision-making.
• Prevention of Misinterpretation: Validity reduces the risk of misinterpreting evaluation results.
• Enhanced Objectivity: Valid evaluations minimize bias and promote objectivity.
• Alignment with Goals: Validity ensures that evaluations align with program goals and objectives.

Hence, the correct answer is Validity.

Given: p(x) = 3x²−px−2 = 0
∴ p(2) = 3(2)²−p(2)−2 = 0
⇒ 12−2p−2 = 0
⇒ −2p = −10
⇒ p = 5

To find the maximum length of a pencil that can be kept in a rectangular box of dimensions 8 cm × 6 cm × 2 cm, we need to find the length of the diagonal of the box, which will be the maximum length of the pencil that can fit inside the box.Using the Pythagorean theorem, the length of the diagonal of the box can be found as:Diagonal = √(length² + breadth² + height²)
Diagonal = √(8² + 6² + 2²)
Diagonal = √(64 + 36 + 4)
Diagonal = √104
Diagonal = 2√26Therefore, the maximum length of a pencil that can be kept in the rectangular box is 2√26 cm, which corresponds to option C.

Mathematics is a subject that has numbers, patterns, shapes, objects, and statistical data as its main content. It basically deals with the complex abstractions of our daily life.

• The main aim of teaching mathematics is to make the students capable of solving their real-life problems by using mathematical skills and knowledge.
• The teacher tries to raise the questions or problems in the mind of students to make them think beyond their textbooks to discover their own knowledge by engaging actively in the learning process.

Key PointsSolving mathematical problems:

Hint

Memorization:

• It is the skill that helps a learner in remembering, recalling, or learning factual information and data but the mathematical knowledge is needed to be understood instead of mere memorizing.

Hence, Memorization is the least appropriate strategy for teaching students to solve mathematical problems.

Area of the shaded region
Area of the shaded region 
Area of the shaded region = 154 sq. cm 

Let BD be the whole height of the tree

The tree breaks at point C and makes ΔABC as given into the figure such that

AC = CD

In rt. ΔABC 

        

Given : Diameter (d) = 4.2 cm
∴ Circumference  

Insinuate means suggest or hint (something bad) in an indirect and unpleasant way
Some insinuate that he doesn't love India enough to defend it wholeheartedly
It's degrading for people like Romney to insinuate that they don't contribute

Note :- Rule to make active voice of Simple Past Tense
We can say that ,
The above given sentence is given in Passive Voice :-
Use structure “subject + auxiliary + past participle + by + object”
That watch was stolen by him.
Hence , required sentence is option A .

The correct transformation of the sentence from active to passive voice is:

"You should not offer meat to vegetarians."

The transformed sentence in passive voice is: "Vegetarians should not be offered meat."

Therefore, the correct answer is option C: "Vegetarians should not be offered meat."

अध्यापिका के बहुवचन रूप का सबसे अच्छा विकल्प अध्यापिकाएँ है।

• अध्यापिकाएँ से अर्थ है कि एक से अधिक अध्यापिका।

Key Pointsवचन :- शब्दों के उस रूप को जो किसी वस्तु के एक अथवा अनेक होने का बोध कराता है, उसे वचन कहते हैं।

वचन के दो भेद हैं -

वियोग शब्द 'वि' उपसर्ग से बना है।

• वि + योग = वियोग (वि उपसर्ग)
• 'वि' संस्कृत का उपसर्ग है।
• 'वि' उपसर्ग के उदाहरण - विवाद, विपक्ष, विशुद्ध।

Key Pointsअन्य विकल्प -

• विवाह + इक = वैवाहिक
• वीर मूल शब्द है।
• वीर + त्व = वीरक्त

Additional Informationउपसर्ग -

• उपसर्ग शब्द के शुरूआत में जुड़ते हैं और मूल शब्द का अर्थ बदल देते हैं।
• उदाहरण :- अप + यश = अपयश, अध + पका = अधपका, ना + लायक = नालायक, हाफ + टिकट = हाफटिकट आदि।
• हिन्दी में मुख्यतः चार प्रकार के उपसर्ग होते है :-
  • संस्कृत के उपसर्ग (प्र, परा, अप, सम्, अनु, अव, निस्, निर्, दुस्, दुर्, वि, आङ्, नि, अधि, अपि, अति, सु, उत्, अभि, प्रति, परि तथा उप)
  • हिंदी के उपसर्ग (अन, अध, उन, औ, कु, चौ, पच, पर, बिन, भर, स, सह, चिर, न, बहु, आप, सम, दु)
  • उर्दू के उपसर्ग (ला, बद, बे, कम, ग़ैर, ना, खुश, हम, ऐन, सर, बेश, बा, अल)
  • अंग्रेजी के उपसर्ग (ब, हाफ, को, हैड, वाइस)

(वह - जो) मिश्र वाक्य का योजक चिन्ह है

‘प्रातःकाल’ शब्द में प्रातः उपसर्ग है।

• प्रातः + काल = प्रातः काल
• 'प्रातः' (सबेरा) उपसर्ग और 'काल' मूलशब्द
• अर्थ: सबेरे का समय, प्रभात।

Key Points

• उपसर्ग शब्द के शुरू में जुड़ता है।

Additional Information कुछ महत्वपूर्ण उपसर्ग शब्द:-​

• प्रातः (सबेरा) - प्रातः वन्दना, प्रातः स्मरणीय।
• अधि (प्रधान/श्रेष्ठ) - अधिनियम, अधिनायक, अधिकृत, अधिकरण।
• उप (सहायक) - उपभोग, उपवन, उपमन्त्री, उपयोग, उपनाम, उपहार।
• सम् (अच्छी तरह) - सन्तोष, संगठन,संलग्न, संकल्प, संशय, संरक्षा।
• प्रति (प्रत्येक) - प्रतिदिन, प्रत्येक, प्रतिकूल, प्रतिहिंसा, प्रतिरूप, प्रतिध्वनि।
• निर् (बिना) - निराकार, निरादर, नीरोग, नीरस, निरीह, निरक्षर।
• अनु (पीछे) - अनुचर, अनुकरण, अनुकूल, अनुनाद, अनुभव।

सही उत्तर 'अब, एवं, भी' है।

दिए गए विकल्पों में 'अब, एवं, भी' अव्यय की श्रेणी में आते है।

वे शब्द जिनमे लिंग, कारक, वचन, पुरुष आदि के कारण कोई विकार/ परिवर्तन उत्पन्न नहीं होता है, अव्यय शब्द कहलाते है।

जैसे – आज, कब, इधर, किन्तु आदि।

Key Points

अन्य विकल्पों का विश्लेषण:

Additional Information अव्यय के पांच भेद हैं –

चींटियाँ आपस में संकेतों से बातचीत करती है ।

मित्र और शत्रु के चेहरों को चींटियाँ याद रखती हैं ।