NVS PGT Mathematics Mock Test - 5 - NVS TGT/PGT MCQ

The correct answer is Vitamin C.

Important Points

• Scurvy is a nutritional disorder of humankind.
  • Scurvy is caused by the deficiency of Vitamin C
  • Ascorbic acid is the chemical name of vitamin C.
  • Vitamin C is the first artificially synthesized vitamin.
  • Vitamin C is essential for the healing of wounds, repair, and maintenance of cartilage, bone, and teeth.
  • Vitamin C deteriorated through cooking and canning of food.

Additional Information 

• Xerophthalmia and night blindness are the deficiency diseases of Vitamin A.
• Rickets is the deficiency diseases of Vitamin D.
• Hemorrhage is the deficiency diseases of Vitamin K.

Explanation:

• Evolutionary biology: It is a field of science that deals with the study of evolutionary processes like natural selection, speciation & common descent that has led to the diversification of life on earth.
• Charles Darwin is known as the father of ''Evolutionary Biology''.
• Darwin proposed a theory of evolution called natural selection in the year 1859. According to it those populations which are a better fit (reproductively fit) in an environment will be selected by nature and will survive more.
• Charles Darwin wrote a book named ''The origin of species'' which is considered to be the foundation of evolutionary biology.

Additional Information 

• Herbert Spencer- He Was best known for the introduction and application of evolutionary theory to philosophy, psychology, and social sciences
• The famous phrase 'Survival of the fittest' to mean Natural Selection was coined by Herbert Spencer. He originated this phrase after the publication of famous biologist Charles Darwin’s book ‘Origin of Species’ which talked about ‘Natural Selection’.
• Julian Huxley was an English biologist, philosopher, educator, and author who greatly influenced the modern development of embryology, systematics, and studies of behaviour and evolution.
• Stanley Miller along with H.C. Urey provided experimental evidence of ''chemical evolution''

The Correct Answer is Option 1 i.e Tomara Rajputs.

• Tomara Rajputs (8th Century -12th Century):
  • Anangapala was considered to be the founder of this dynasty.
  • Delhi became the capital of a kingdom for the first time under the Tomara Rajputs.
  • They were defeated by Chauhans in the middle of the twelfth century.
  • The name of Anangpala is inscribed in the Iron Pillar of Delhi. 
• Chauhans (1165-1192):
  • Prithviraj Chauhan was the most important ruler of this dynasty.
  • In the first battle of Tarain 1191 AD, he defeated Muhammad Ghori.
  • In the second battle of Tarain 1192 AD, he was defeated by Muhammad Ghori.
•  Aurangzeb (1658-1707):
  • He was the sixth Mughal Emperor.
  • He executed the ninth Sikh guru Guru Tegh Bahadur in 1675 AD.
  • He re-imposed Jaziya in 1679 AD.

Key Points

In 1854, the first cotton mill was set up in Bombay and It grew as an important port for the export of raw cotton from India to England and China.

• This cotton crop became a huge demand and farmers started investing in it.
• Cotton turned the market upside down.
• A huge number of labours started working in mills.
• In Bombay, about 84 mills were established by Parsi and Gujarati businessmen by 1900.
• The construction and development of mills in cities started and the first mill in Ahmedabad was started in 1861.
• The growth of cotton mills demanded manpower.
• Poor peasants, artisans, and agricultural labourers started working in the mills.
• The textile industry of India faced problems such as difficulty competing with the cheap textiles imported from Britain.
• In most countries, the government-supported industrialization by applying and imposing heavy duties on imports which eliminated competition and protected infant industries.
• The first major spurt in the development of cotton factory production in India was during the First World War when textile imports from Britain were declined and Indian factories were called upon to produce cloth for military supplies.

The correct answer is option 4.

Key Points

Article 75 of the Indian Constitution mentions that a Prime Minister is one who is appointed by the President.

• There is no specific procedure for his election or appointment.
• Article 74(1) states that there shall be a Council of Ministers with a Prime Minister at the head to aid and advise the President. 
• President of India appoints a person as the Prime Minister who is either the leader of the party which holds a majority of seats in the Lok Sabha or is a person who is able to win the confidence of the Lok Sabha by gaining the support of other political parties.

• All other ministers are appointed by the President on the advice of the Prime Minister.

Thus, it is clear that while appointing the Prime Minister, the President selects the leader of the alliance or party that has the support of the majority in Lok Sabha.

Additional Information

• President can also appoint Prime Minister at his own discretion but only when no party has a clear majority in the Lok Sabha. 

Q, R, S, T, U, and V are seated in a straight line facing North.

i) S is second to the right of T.

ii) T is second to the right of Q.

iii) R is to the immediate left of Q

iv) R is to the immediate left of Q and is second to the left of V.

Thus we can see R and S is sitting at the extreme ends.

Hence, the correct answer is "RS".

The pattern followed here is:

Hence, the correct answer is "L".

in the figure the 8 triangle is shown easily and another is COD , DOB, BOA, AOC, ACD, BDC,ABC, ABD so that total no. of triangle is 8 + 8 = 16

Microsoft Word or MS-WORD (often called Word) is a Graphical word processing program that users can type with. It is made by the computer company Microsoft. Its purpose is to allow users to type and save documents. It's an application software

All the statements are correct. Black board is a primary teaching aid in a classroom. It makes the subject interesting for pupils. It also simplifies the tough topics and keeps the pace of the lecture moderate as it encourages writing while talking and hence making teaching effective.

Naresh loves to work without supervision and set goals that are challenging, but not impossible. He learns best in solitude; thus he is a intrapersonal learner. The intrapersonal learners, as opposed to interpersonal, are the ones who work and learn best when they are alone.
They are also motivated by internal forces, rather than external ones. So, Naresh is motivated by internal forces.

Cooperation teaches the values of committing oneself to the common good, seeing success as depending on the efforts of all participants, feeling happy when others succeed, seeing others as resources to help one succeed, viewing worth as unconditional, and viewing diverse others in positive ways.
Cooperative learning is a teaching way for students to learn essential interpersonal life-skills and develop the ability to work collaboratively, a skill now greatly in demand in the workplace. Thus, it provides faster and efficient learning. In cooperative learning, the diverse students in the school are to be transformed into a symphony. Students need positive self-esteem, the psychological health to face conflict and challenge, and the social competencies required to work effectively with diverse peers. Personal and superordinate identities are developed through group processes.

(x+iy)(x−iy) = (a+ib)(a−ib)/(c+id)(c−id) 
⇒x²−iy² = √[(a²−i²b²)/(c²−i²d²)]
⇒x²+y² = √[(a²+b²)/(c²+d²)]  [1i² = -1]
(x_²+y²)² = (a²+b²)/(c²+d²)

a = 8−6i 
d = 7−4i−8+6i
= −1+2i
an = a+(n−1)d
a+ib = 8−6i+(n−1)(−1+2i)
a+ib = 8−6i+(−1)(n−1)+(n−1)2i
= − 6+2(n−1)=0
= 2(n−1) = 6
n = 4
an = 8−6i+(4−1)(−1+2i)
= 8−6i−3+6i = 5
4th term = 5

⁸C_r = ⁸C_p = ⁸C^8-p     
So, either r = p or r = 8 – p
i.e. r = p or r + p = 8

Centre (0, 4) and r = 1

A = {(5x+2, 2x, 2x) (5x+2, x+2, 2x) (5x+2, 2x, x+2)}
= (5x+2) {(1, 2x, 2x) (1, x+2, 2x) (1, 2x, x+2)}
= (5x+2) [(1(x+2)^2 - 4x^2) - 2x(x+2 - 2x) + 2x(2x - x - 2)]
= (5x+2) [(x+2 - 2x)(x+2+2x)-2x(2 - x) + 2x(x-2)]
= (5x+2) [(2-x)(3x+2) -2x(2-x) -2x(2-x)]
= (5x+2) (2-x)[3x+2-2x-2x]
= (5x+2) (2-x)²

Apply , C1→C1 - C3, C₂→C₂-C₃

= 10 - 12 = -2

Let y= sin x + cos x

dy/dx=cos x- sin x

For maximum or minimum dy/dx=0

Setting cosx- sin x=0

We get cos x = sin x

x= π/4, 5π/4———-

Whether these correspond to maximum or minimum, can be found from the sign of second derivative.

d^2y/dx^2=-sin x - cos x=-1/√2–1/√2 (for x=π/4) which is negative. Hence x=π/4 corresponds to maximum.For x=5π/4

d^2y/dx^2=-(-1/√2)-(-1/√2)=2/√2 a positive quantity. Hence 5π/4 corresponds to minimum

Maximum value of the function

y= sin π/4 + cos π/4= 2/√2=√2

Minimum value is

Sin(5π/4)+cos (5π/4)=-2/√2=-√2

As value of both determinants are equal
∴ (1×1) - (1×1) = 4x - 2
0 = 4x-2.
4x = 2.
x = 2/4 = 1/2

To solve this problem, we need to calculate the total number of ways a candidate can attempt the multiple-choice question where there are 4 alternatives, and one or more can be correct.

Step 1: Consider each alternative

Each of the 4 alternatives can either be:

1. Selected (included in the answer)
2. Not selected (excluded from the answer)

So, for each alternative, there are 2 choices (select or not select).

Step 2: Calculate the total number of combinations

If there were no restrictions (i.e., selecting none is allowed), the total number of combinations would be 2⁴=16

Step 3: Subtract the invalid case

Since at least one alternative must be selected (one or more are correct), we subtract the one case where none of the alternatives are selected:

2⁴−1=16−1=15

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.

Latent represents something that is apparent or superficial and that cannot be easily seen. 
Incensed means enraged, soporific represents something that causes sleep whereas spurn means to refuse. Thus, option 1 is appropriate.
Example- He has a huge reserve of latent talent in him.

A sentence having two past tenses is inappropriate (did and punished present in the same sentence). Thus, the first verb can be changed to the past perfect form to make the sentence grammatically suitable and correct. 'Although I had done my homework, the teacher punished me.'
Option 2 is thus correct. 

"Renaissance" is the correct word and it means the revival of something in a modified form.
Example- The renaissance was a period where great pieces of art were created.

दिए गए विकल्पों में विकल्प (2) चंद्रमा, हाथी, कोयल सही उत्तर है, अन्य विकल्प उचित उत्तर नहीं हैं।

Key Points

सारंग के अनेकार्थी शब्द - मोर, सर्प, मेघ, हिरन, पपीहा, राजहंस, हाथी, कोयल, कामदेव, सिंह, धनुष भौंरा, मधुमक्खी।

सारंग का अर्थ (विशेषण) - रंगीन, सुंदर, सुहावन।

अन्य विकल्प -

\Additional Information

दिए गए विकल्पों मेन उचित उत्तर विकल्प 4 ‘नवीन, नूतन’ है। अन्य विकल्प इसके अनुचित हैं।
Key Points

• ‘नव’ का अनेकार्थी शब्द समूह ‘नवीन, नूतन’ है। इसके अन्य शब्द- नया, नौ हैं।
• वाक्य- दुःख नव युग का निर्माण है।

अन्य विकल्प:

Important Points