KVS TGT Math Mock Test - 6 - KVS PGT/TGT/PRT MCQ

As we know that ,
Mansion is a very big house, while hovel is a small, dingy house, castle is a large fortified residence.
Hence , hovel is an opposite word of Mansion . 

Let us first learn the meanings of the given words:
Cornerstone (noun): an important quality or feature on which a particular thing depends or is based.
Crux (noun): the decisive or most important point at issue.
Premise (noun): a previous statement or proposition from which another is inferred or follows as a conclusion.
The idea here is to express that a healthy environment is the basis of a healthy climate. Thus, ‘cornerstone’ and ‘crux’ fit the blank while ‘premise’ is contextually weak.

Hence, the correct answer is option A.

Answer: B Explanation: The synonym for the word "Glib" is Fluent. Here's a breakdown of the options: - A: Dull - This is an antonym, not a synonym, as glib means smooth and easy in speech. - B: Fluent - This is the correct synonym, as it also means smooth, easy, and effortless in speech. - C: Thin - This is unrelated to the meaning of glib. - D: Sharp - This can be related to intelligence or wit, but not specifically to the smoothness or ease of speech that glib refers to.

One word substitution is Oligarchy.

Monarchy: A form of government with a monarch at the head.

Oligarchy: A small group of people having control of a country or organization.

Plutocracy: A state or society governed by the wealthy.

Autocracy: A system of government by one person with absolute power.

मुहावरे का सही युग्म है - 'आँख में चर्बी छाना - घमंड से चूर होना'

• वाक्य प्रयोग - अजय अपना अभावग्रस्त जीवन भूल गया है, अब तो उसकी "आंखों में चर्बी चढ़ गई है"।

Key Points

• मुहावरा एक ऐसा वाक्य होता है जो वाक्य की रचना करने पर अपना एक अलग अर्थ या विशेष अर्थ प्रकट करता है।
• इनका प्रयोग करने से भाषा,आकर्षक, प्रभावपूर्ण तथा रोचक बन जाती है।

Additional Informationकुछ महत्वपूर्ण मुहावरा, अर्थ और उनके वाक्य प्रयोग:-

• आंख दिखाना - बहुत क्रोध करना

वाक्य प्रयोग - राम से मैंने सच बातें कह दी, तो वह मुझे "आँख दिखाने लगा"।

• आग लगाना - झगड़ा कराना

वाक्य प्रयोग - दीपक ने झूठ बोलकर राहुल और दीनेश के बीच "आग लगा दी"।

• आँख बिछाना - प्रेम से स्वागत करना

वाक्य प्रयोग - जब प्रधानमंत्री आए तो स्कूल में सबने "आँखें बिछा दीं"।

सही उत्तर है - “देख रहा था।”

• अशुद्ध वाक्य:- मैं दो घंटे से आपकी प्रतीक्षा देख रहा था।
• शुद्ध वाक्य:- मैं दो घंटे से आपकी प्रतीक्षा कर रहा था।

Key Points

• ‘मैं दो घंटे से आपकी प्रतीक्षा देख रहा था' वाक्य में ‘देख’ शब्द वाक्य अशुद्धि का कारण है।
• अत: वाक्य में वर्तनी संबंधी अशुद्धता है।

Additional Information

• अशुद्ध वाक्यों में एक से अधिक विषय और एक से अधिक क्रिया होती है।
• दूसरी ओर, अशुद्ध वाक्यों में त्रुटियाँ या गलतियाँ हो सकती हैं।
• शुद्ध वाक्यों में एक ही विषय और एक क्रिया होती है।
• शुद्ध वाक्य वे हैं जो किसी भी त्रुटि या गलतियों से मुक्त हैं।

Important Points

• वर्तनी वाले शब्द का अर्थ:- भाषा के किसी शब्द को को लिखने में प्रयुक्त वर्णों के सही क्रम को वर्तनी कहते हैं।
• भाषा की समस्त ध्वनियोँ को सही तरीके से उच्चारण करने के लिए वर्तनी की एकरुपता स्थापित की जाती है।

The Five Vows of Jainism are fundamental ethical principles for followers. These vows are:

• Non-violence (Ahimsa): Avoid harming any living being.
• Truth (Satya): Always speak the truth.
• Non-stealing (Asteya): Do not take anything that is not willingly given.
• Non-possession (Aparigraha): Limit material possessions and desires.
• Celibacy (Brahmacharya): Maintain chastity, particularly for monks and nuns.

Therefore, Correct Answer - Option B

As 'Calf' is the youngest of 'Cow' similarly 'Kitten' is the young one of 'Cat'.

The TCP/IP protocol used for transferring files from one machine to another is FTP (File Transfer Protocol).

FTP is a standard network protocol that enables the transfer of files over a TCP/IP network. It allows users to upload, download, and manage files on a remote server.

Here are some key points about FTP:

• FTP operates on the Application layer of the TCP/IP protocol stack.


• It uses separate control and data connections for file transfer.


• FTP supports authentication for secure file transfers.


• It provides various commands for file manipulation, such as uploading, downloading, renaming, deleting, and creating directories.


• FTP can be accessed using FTP client software, command-line interfaces, or web browsers.

Other TCP/IP protocols mentioned in the options are:

• SNMP (Simple Network Management Protocol): Used for network management and monitoring, not file transfer.


• SMTP (Simple Mail Transfer Protocol): Used for sending and receiving email, not file transfer.


• RPC (Remote Procedure Call): Used for communication between programs on different computers, not specifically for file transfer.

Therefore, the correct answer is FTP (File Transfer Protocol).

The CBSE has adopted Continuous and Comprehensive Evaluation (CCE) as a school-based approach of evaluation. For students in the sixth to tenth grades and the twelfth in some institutions, the Central Board of Secondary Education in India and the state governments of India have proposed this evaluation.

Key PointsCCE refers to a school-based evaluation, which covers all aspects of school activities related to a child's development. The fundamental goal of CCE was to evaluate every aspect of the kid while they were in the classroom.

• CCE aids in reducing children's stress.
• Make assessments thorough and frequent.
• Make room for the instructor to educate effectively.
• Make a tool for detection and adjustments available.
• Create students with better skills

The goals of Continuous and Comprehensive Evaluation range widely:

• to transform instruction and learning into a student-centered activity.
• to establish assessment as a crucial component of teaching and learning.
• to assess a learner's development, learning process, learning pace, and learning environment fairly and promptly.
• to provide students the opportunity to self-evaluate.
• through detection and correction, use the evaluation process to raise student success.

Hence, it is concluded that continuous and Comprehensive Evaluation (CCE) refers to school-based evaluation, which covers all aspects of school activities related to children.

The term adolescence derives from the Latin word adolescere, meaning “to grow into maturity”. It is the transitional period in a person’s life between childhood and adulthood.

• Adolescence is commonly defined as the stage of life that begins at the onset of puberty, when sexual maturity or the ability to reproduce is attained.  Adolescents also develop a special kind of egocentrism.

Key PointsThe above-mentioned phenomenon is related to the imaginary audience component of adolescents’ egocentrism. It is usually associated with young adolescents. 

• Imaginary audience is adolescents’ belief that others are as preoccupied with them as they are about themselves. They imagine that people are always noticing them and are observing each and every behavior of theirs.
• For example, a boy who thinks that all will notice the ink spot on his shirt, or a girl with a pimple feels, all people would think how bad her skin is. It is this imaginary audience, which makes them extremely self-conscious.

Hint

• The personal fable is part of the adolescents’ egocentrism that involves their sense of uniqueness. Adolescents’ sense of uniqueness makes them think that no one understands them or their feelings. For example, an adolescent girl thinks that none can sense the hurt that she feels because of being betrayed by a friend.
• Hypothetical deductive reasoning: In contrast to the trial and error approach used by children in earlier stages of development, adolescent thinking becomes more systematic in solving problems - they think of possible courses of action, why something is happening the way it is, and systematically seek solutions. Piaget called this type of logical thinking - hypothetical deductive reasoning.

Thus, we can conclude that Aryan and Saumya are showing a feature of the Imaginary Audience which is more commonly observed in young adolescents.

Childhood can be conceptualized as one of the several stages that human beings pass through in their journey to adulthood.

• It is regarded as one of the most innocent and free phases of human development.
• Developments in childhood will determine the direction that the life of the individual will follow, for character traits adopted at childhood are hard to shed in later years.

Key Points Views on childhood:

• A lot of studies have been dedicated to this stage of human development. These studies emanate from a wide range of academic fields, given that it is hard to constrict childhood studies into one particular discipline. The academic fields include, among others, sociology, psychology, education, philosophy, and theology.
• Several perspectives  on childhood have been adopted in contemporary society:

1. Children are innocent
2. Childhood is the age of apprenticeship.
3. Childhood is a unique period of growth and change: Childhood remarks Goldstein (2009) is a unique stage in one’s development. A person is both “being” and “becoming” at this stage. They are becoming because this is a transitional stage to adulthood. They are “being” because the child is a unique, complete individual.
4. Children are vulnerable

Hence, it can be concluded that childhood is a unique period of growth and change that defines contemporary views.

Social constructivist approach is an approach of learning which gives primacy to collaborative learning & reciprocal teaching.

Key Points

• In these classrooms, students are actively involved in discussions and projects related to real-life situations and the teacher facilitates and directs the activities by providing a proper environment and material to make them learn at their own pace.
• It emphasizes collaboration with others for learning.
• It ensures the active involvement of learners and promotes peer tutoring.
• It allows learners to foster their own strategy of learning to perform an activity.
• It views learners as makers of meaning and creators of knowledge through social interaction.

Hence it could be concluded that teachers and students draw on one another’s expertise while working on complex projects related to real-world problems in a social-constructivist classroom.

Additional Information

Jean Piaget has divided development into different stages. He believed that a child’s mind passes through a series of stages of thought from infancy to adolescence.

Key Points

• In this question, Baby Bhavya starts to look for her toys that were hidden by her mother because she is aware of her toys even when it is not in front of her, i.e., She has developed object permanence, so she is in the Sensory-motor Stage​.
• Object permanence means knowing that an object still exists, even if it is hidden. It requires the ability to form a mental representation (i.e. a schema) of the object.

Additional Information

Hence, it becomes clear that Bhavya lies in the Sensory-motor Stage.

Solution: From equation (i) x = 14 - 4y ....(iii)

Substitute the value of x in equation (ii)

⇒ 7 (14 - 4y) - 3y = 5

⇒ 98 - 28y - 3y = 5

⇒ 98 - 31y = 5

⇒ 93 = 31y

⇒ y = 93/31

⇒ y = 3

Now substitute value of y in equation (iii)

⇒ 7x - 3 (3) = 5

⇒ 7x - 3 (3) = 5

⇒ 7x = 14

⇒ x = 14/7 = 2

So the solution is x = 2 and y = 3

The volume of a cube with a surface area of 384 sq. cm is 512 cm3, which corresponds to option D.

For 2k +1, 3k + 3 and 5k -1 to form an AP

(3k + 3) - (2k + 1) = (5k -1) - (3k + 3)

k + 2 = 2k - 4

2 + 4 = 2k - k = k

k = 6

In reason as given d = constan

So, both A and R are correct and R does explain A.

Solution :- sin^2 30° − cos^2 30°

= (1/2)² −((3)^1/2/2)²

= 1/4 - 3/4

= -1/2

∠LQ = ∠MNR,

∠Q = ∠R

QM = MR,

Hence, ΔQLM ≅ ΔMNR (by AAS)

According to the question, p (2) = 3x² + mx - 14 = 0
⇒ 3(2)² + m x 2 - 14 = 0
⇒ 12 + 2m - 14 = 0 ⇒ m = 1
 Also p(2) = 2x³ + nx² + x - 2 = 0

(a) The given equation is x² - 4x + 3√2 = 0.
On comparing with ax² + bx + c = 0, we get
a = 1, b = -4 and c = 3√2
The discriminant of x² - 4x + 3√2 = 0 is
D = b² - 4ac
= (-4)² - 4(1)(3√2) = 16 - 12√2 = 16 - 12 x (1.41)
= 16 - 16.92 = -0.92
⇒ b² - 4ac < 0
(b) The given equation is x² + 4x - 3√2 = 0
On comparing the equation with ax² + bx + c = 0, we get
a = 1, b = 4 and c = -3√2
Then, D = b² - 4ac = (-4)² - 4(1)(-3√2)
= 16 + 12√2 > 0
Hence, the equation has real roots.
(c) Given equation is x² - 4x - 3√2 = 0
On comparing the equation with ax² + bx + c = 0, we get
a = 1, b = -4 and c = -3√2
Then, D = b² - 4ac = (-4)² - 4(1) (-3√2)
= 16 + 12√2 > 0
Hence, the equation has real roots.
(d) Given equation is 3x^​2 + 4√3x + 4 = 0.
On comparing the equation with ax² + bx + c = 0, we get
a = 3, b = 4√3 and c = 4
Then, D = b² - 4ac = (4√3)² - 4(3)(4) = 48 - 48 = 0
Hence, the equation has real roots.
Hence, x² - 4x + 3√2 = 0 has no real roots.

Let the river BC be the width of 60 m

and angle of elevation = 30°
To find: Height of the tree AC

Therefore, the height of the tree is 20 √3m.

A polynomial is a mathematical expression which is sum of several terms consisting the same variable in different powers. The degree of the polynomial is the highest power the variable is having in the expression. A quartic polynomial is a polynomial with degree 4. A polynomial with degree 4 can have 0, 1, 2, 3, or 4 roots. There are few methods developed to find the roots of a quartic equation, like Ferrari's solution, changing the equation to depressed form and then solve it or solving a quartic using radicals. These methods are little complex. A quartic function can have 0, 1 or 2 inflection points and have these inflection points implies the concept of golden ratio. 

A+b =180(linear pair)

2x+3x=180

5x=180

x=180/5

x=36

a=2x=2*36=72

b=3x=3*36=108

b=d (vertical opposite angles are equal)

d=f (alternative interior angles are equal)

f=h (vertically opposite angles are equal)

So, h= 108

If α  and β are the zeros of the polynomial then
(x−α)(x−β) are the factors of the polynomial
Thus, (x−α)(x−β) is the polynomial.
So, the polynomial =x² − αx − βx + αβ
=x² − (α + β)x + αβ....(i) 
Now,the quadratic polynomial is  
2 − 3x − x² = x² + 3x − 2....(ii)

Now, comparing equation (i) and (ii),we get,
−(α + β) = 3 
α + β = −3