KVS PGT Mathematics Mock Test - 7 - KVS PGT/TGT/PRT MCQ

The passage seems to be about a regulation passed by the government regarding medical colleges. The first sentence of the passage is Psince it introduces the fact that a regulation was passed.

The second sentence would be R, which tells us about the content of the regulation.

The third sentence should be Q. Q also gives us information about the content of the regulation but it contains the word 'also', which makes it obvious that it will come after R.

The last sentence is S, which tells us what is not mentioned in the regulation. Therefore, the correct sequence is PRQS.

'Being a black rose' signifies being rare and precious. Thus, only option 2 shows the correct meaning of the phrase.
Example- The is an origami artist. Thus, he can be called the black rose of this form of art.

Let's look at the meaning of all the given options.
A prankster is a person fond of playing tricks.
A hooligan is used for someone who is a troublemaker.
A charlatan is a fraud.
Spunk means courage and determination.
Hence, the correct answer is option 3. 

'Picturesque' means a view of something that is visually pleasing. Thus, it is the best replacement for the given phrase.
None of the other options exactly mean the given phrase.
Example- Scotland is famous for its picturesque landscape and structured architecture. 

दिए गए विकल्पों में सही उत्तर विकल्प 4 है। अन्य विकल्प इसके सही उत्तर नहीं हैं।

Key Points

• 'लजाना' अकर्मक क्रिया है।
• जब कर्म का अभाव होता है तो क्रिया का फल कर्ता पर पड़ता है। जब वाक्य में कोई कर्म नहीं होता तो क्रिया अकर्मक होती है।
• जैसे- पक्षी उड़ता है।

अन्य विकल्प:

Mistake Points

• जो क्रिया संज्ञा, सर्वनाम व विशेषण से बनती है उसे नामधातु क्रिया कहते है।
• यौगिक क्रियाएं वे होती हैं जिनमे दो क्रियाओं का योग होता है। जैसे: खाना-पीना, उठना-बैठना, हंसना-गाना, आदि।
• यहाँ लजाना क्रिया अकर्मक क्रिया होगी क्योकि इसके साथ कर्म की आवश्यकता नहीं है।

Additional Information

क्रिया- जहां किसी कार्य के करने या होने का बोध हो, क्रिया कहलाता है। जैसे- मोहन जाता है।, वह खाना खाता है। आदि।

रचना की दृष्टि से क्रिया के दो भेद होते हैं-

"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

इनमें से व्‍यक्तिवाचक संज्ञा नहीं है - 'पहाड़'

• यह शब्द किसी एक विशेष पहाड़ का बोध न कराकर दुनिया के सभी पहाड़ों का बोध करा रहा है। अतः पहाड़ एक जातिवाचक संज्ञा शब्द है।
  • जो शब्द किसी व्यक्ति, वस्तु या स्थान की संपूर्ण जाति का बोध कराते हैं, उन शब्दों को जातिवाचक संज्ञा कहते हैं।
• यानी, जातिवाचक संज्ञा शब्दों से एक जाति के अंतर्गत आने वाले सभी व्यक्तियों, वस्तुओं व स्थानों का बोध होता है।
  • जैसे- आदमी, जानवर, पशु, पक्षी, गाय, लड़का, शहर, बगीचा, नदी, पुस्तक, कार, ट्रक आदि।

Key Pointsजातिवाचक संज्ञा के कुछ उदाहरण:-

• बच्चे खिलौनों से खेल रहे हैं।
• पेड़ों पर पक्षी बैठे हैं।
• मनुष्य सबसे पुरानी प्रजातियों में से एक है।
• कुत्ता एक वफादार जानवर होता है।
• आज के समय में नदियों में बहुत अधिक प्रदुषण हो रहा है।

Additional Information

The correct answer is 1895.

Key Points

• The Natal Indian Congress was an organization that aimed to fight discrimination against Indians in South Africa.
• The Natal Indian Congress was founded by Mahatma Gandhi along with other Indians in 1895.
• Gandhi was the Honorary Secretary and Abdoola Hajee Adam Jhaveri (Dada Abdulla) was elected president.
• The Natal Congress in its early stages focused on providing equality to all races and people of all castes, genders, and Creeds.
• From the 1920s the organization functioned under the umbrella organization, the SAIC (South African Indian Congress).
• However, in the 1930s-1940s, the NIC experienced more radical leadership when Dr. G.M. Naicker emerged on the scene 

The correct answer is Mercury.

• Mercury planet is the closest planet to the Sun.

​Key Points

• Mercury:
  • The smallest planet in our solar system
  • It is nearest to the Sun.
  • It's only slightly larger than Earth's Moon.

The correct answer is President.

• President appoints the judges of the Supreme Court.

Key Points

• The Supreme Court:
  • Article 124 states the establishment and constitution of the Supreme Court.
  • The Judges of the Supreme Court, after consulting the Chief Justice of India, are appointed by the President of India.
  • Qualifications:
    • He should be a citizen of India.
    • He should have been a Judge of a High Court for five years.
    • He should have been an advocate of a High Court for ten years
    • He should be a distinguished jurist in the opinion of the President.

The correct answer is Nagaland.

• Kohima is the capital of Nagaland.

Key Points

• In 1963, the State of Nagaland was formed by taking the Naga Hills and Tuensang area out of the state of Assam.
• Nagaland shares its International border with Myanmar.
• Nagaland shares its borders with Arunachal Pradesh, Manipur, and Assam.
• Neiphiu Rio is the current Chief Minister of the state.

Additional Information

• Gangtok is the capital of Sikkim.
• Shillong is the capital of Meghalaya.
• Agartala is the capital of Tripura.

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

TCP/IP (Transmission Control Protocol/ Internet Protocol) is the basic communication language or protocol of the Internet. It can also be used as a communication protocol in a private network (either an intranet or an extranet).

Example of e-mail address is

Objectives of Early Childhood Education: The aim of Early Childhood Care and Education (ECCE) is to facilitate the optimum development of the child’s full potential and lay the foundation for all-round development and lifelong learning.

Key Points

This aim is to be achieved through enabling the child to:

• Develop a positive self-concept.
• Establish a sound foundation for a good physique, adequate muscular coordination and basic motor skills.
• Imbibe good health habits and basic life skills/ self-help skills necessary for personal social adjustment.
• Enhance verbal and non-verbal communication skills which would facilitate the expression of thoughts and feelings in fluent, correct, clear speech.
• Develop the five senses and cognitive skills and concepts which are the foundation for higher-order thinking and reasoning.
• Develop emotional maturity by guiding the child to express, understand, accept and control feelings and emotions.
• Imbibe values, social attitudes and manners important in his/her socio-cultural context and to become sensitive to the rights and privileges of others.
• Develop independence, aesthetic appreciation and creativity by providing a child with sufficient opportunities for self-expression and active exploration, investigation and experimentation.
• Make a smooth transition from preschool to primary through the development of emergent literacy and school readiness. 

Hence, we conclude that the developmental objectives in the curriculum framework for early childhood development is towards all the above points.

National Curriculum Framework, 2005, published by NCERT, is quite significant for bringing contemporary changes in school and teacher education curricula. Keeping in view the changing perspectives and contexts of school education across the globe, necessary curricular changes have been recommended in NCF, 2005.

Key Points

• The major features of NCF, 2005 have been articulated in five different areas of the School Curriculum, they are
  • Perspectives of Education
  • Learning and Knowledge
  • Curricular Areas, School Stages, and Assessment
  • School and Classroom Environment
  • Systemic Reforms
• Perspectives of Education-
  • To integrate examination into classroom learning and also to make it more informal, alternative, and flexible.
• Learning and Knowledge-
  • To focus on the holistic development of the students to enhance their physical and mental development.
  • To create an inclusive environment in the schools and classrooms for all students.

Thus from the above-mentioned points, it is clear that the perspective of knowledge and classroom environment is one of the major features of NCF, 2005.

Key Points

• ICT has also become integral to the teaching-learning interaction, through such approaches as replacing chalkboards with interactive digital whiteboards, using students’ own smartphones or other devices for learning during class time, and the “flipped classroom” model where students watch lectures at home on the computer and use classroom time for more interactive exercises.
• Teachers need specific professional development opportunities in order to increase their ability to use ICT for formative learning assessments, individualized instruction, accessing online resources, and fostering student interaction and collaboration.
• In many ways, ICT has become a part of children's everyday lives, even in preschools. The computer has now become a common tool for the education of preschool children because when used appropriately, it can reinforce their learning experiences.

It can be concluded that clear instructions are important in ICT-supported teaching-learning strategies.

Mental health is a state of well-being that involves emotional, psychological, and social health and well-being. Mental health affects how an individual thinks, acts, or feels.

• Mental health also helps individuals to deal with stressful situations effectively.

Key Points

• Promoting mental health in the workplace is a highly effective activity to promote mental health.
• Individuals spend the majority of their time in the workplace, hence, promoting mental health in the workplace will be beneficial.
• Community awareness programmes also help promote mental health in the community, schools, homes, etc. 
• Programmes are established for special populations such as people with anxiety, depression and stress. 
• It will also improve their performance in the workplace.
• Personal life will also be balanced and maintained effectively due to effective mental health.
• Promoting mental health in the workplace will intrinsically motivate individuals, which is beneficial for both individuals and companies.
• Maintaining healthy mental health will integrate the mind, body, and environment for effective outcomes.

Additional Information

• Community awareness programs are also an effective initiative in promoting mental health at the community level.

Thus, it can be concluded that promoting mental health in the workplace can be performed to promote mental health.

Diversity in literary terms means differences. The term diversity, when used in discourse related to people or communities or in social contexts is more specific, indicates that a group of people is made up of individuals who are different from each other in some way or the other or it means collective differences among people, that is, those differences which mark off one group of people from another.

• For example, differences in culture, language, gender, appearance (e.g. skin color, hair type) lifestyle, social and economic status, family structure, abilities, (e.g. physical, social, creative, and intellectual), values, and beliefs.

Key Points 

• Social inclusion refers to a process by which efforts are made to ensure equal opportunities for all, regardless of their background, be it money, class, ethnicity, gender, race, or whatever the index of diversity be, to enable full and active participation in all aspects of life, including civic, social, economic, and political activities, as well as participation in decision-making processes.
• Social inclusion can be approached as a goal, an objective, and a process. Its process affects almost all societal activities, and should therefore be approached from various dimensions.
• If a society is inclusive it means that it understands, accepts, and respects diversity, it not only recognizes diversity but also embodies it so that each member of the diverse society can achieve their full potential in life.

Thus, it is concluded that Social inclusion is a process by which efforts are made to ensure equal opportunities for all, regardless of their background.

Hint

• ​Social exclusion or social marginalization is a term used across disciplines including education, sociology, psychology, politics, and economics. Because of social exclusion, the affected individuals or communities are prevented from participating fully in the economic, social, and political life of the society in which they live.

(i) xRx ⇔ 2x² - 3x.x + x²  

∴ R is reflexive
(ii) For x = 1, y= 2; 2x² - 3xy + y² = 0
∴ 1 R 2 but 2.2² - 3.2.1 + 1² = 3 ≠ 0.
So, 2 is not R-related to 1.
∴ R is not symmetric. 

8(1) + 8(11) + 8(111) + 8(1111) +........up to n times
= 8{ 1 + 11 + 111 + 1111 + ....... up to n times}
= 8/9{9 + 99 + 999 + 9999 + ..... up to n times}
= 8/9 {(10-1 )+ (100-1) + (1000-1) + (10000-1) + ........up to n times}
= 8/9 {(10 + 100 + 1000 + 10000 +...... n times) - (n×1)}
= 8/9{( (10×(10ⁿ -1))/(10-1)) -n}
= 80/81(10ⁿ - 1) - n
=  8/81(10ⁿ⁺¹ - 10 -9n)

We have 5x−3<3x+1
⇒ 5x − 3 + 3 < 3x + 1 + 3
⇒ 5x < 3x + 4
⇒ 5x − 3 × < 3x + 4 − 3x
⇒ 2x < 4 ⇒ x < 2
 When x is an integer the solutions of the given inequality are {.............,−4,−3,−2,−1,0,1}

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

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

Period = 2π/|b|
As it is given a =5, b = 1/2
period = 2π/|1/2|
⇒ 4π

We know that:
Sin θ = Opposite / Hypotenuse

∴ SinA = 1/√10
CosA= 3/√10
similarly, SinB = 1/√5
CosB= 2/√5

⇒ Multiply:
Cos(A+B)= CosA x CosB - SinA x SinB

Substituting the value in above equation we get:

= 3/√10 x 2/√5 - 1/√10 x 1/√5
= 6/√50 - 1/√50
= 6-1/5√2. ........(√50=5√2)
= 1/ √2

we know that, sin 45 = 1/ √ 2 therefore
sinθ / cosθ = 45