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

The Correct Answer is Option 3 i.e India.

• India:
  • It shares a border with seven countries, namely China, Pakistan, Bhutan, Myanmar, Afghanistan, Nepal, and Bangladesh.
  • India shares the longest border with Bangladesh.
  • It is the largest democracy in the world, the representative with the most number of votes gets the power.
  • New Delhi is the capital of India.
  • Droupadi Murmu is the current President of India and Narendra Modi is the current PM of India.
• Sweden:
  • It is a country in Europe.
  • Sweden is a constitutional monarchy with a parliamentary democracy.
  • Stockholm is the capital of Sweden.
  • Incumbent Magdalena Andersson is the current PM of Sweden.
• Iceland:
  • It is an Island country in Europe.
  • Iceland is a constitutional republic with a multi-party system and is considered as the worlds' oldest parliamentary democracy.
  • Reykjavik is the capital of Iceland.
  • Guoni Thorlacius Johannesson is the current President of Iceland.
• Norway:
  • It is located in Northwestern Europe.
  • It is a constitutional monarchy.
  • Jonas Gahr Støre is the current Prime Minister of Norway.
  • Oslo is the capital city of Norway.

The correct answer is Inscriptions.

Key Points

• Writings on hard surfaces like stone or metal are called Inscriptions.
• Often kings got their orders inscribed so that people could see, read and obey them.
• Other inscriptions have the activities done by men and women recorded on them.
• Kings kept record of their victories in the form of inscriptions.

 Thus, we can say that writings on hard surfaces like stone and metals are called Inscriptions.

Additional Information

•  Manuscripts were written on palm leaves or birch.

The correct answer is South-West Monsoon.

• Air moves from the high-pressure area over the southern Indian Ocean, in a south-easterly direction, crosses the equator and turns right towards the low-pressure areas over the Indian subcontinent. 
• These are known as the Southwest Monsoon winds responsible for widespread rainfall in mainland India.
• Due to the shift of ITCZ, the trade winds of the southern hemisphere cross the equator between 40° and 60°E longitudes and start blowing from southwest to northeast due to the Coriolis force. It becomes southwest monsoon.
• In winter, the ITCZ moves southward, and so the reversal of winds from northeast to south and southwest takes place. They are called northeast monsoons.
• The western cyclonic disturbances are weather phenomena of the winter months brought in by the westerly flow from the Mediterranean region.
• They usually influence the weather of the north and north-western regions of India. 
• The season of retreating monsoon (October and November) is a period of transition between the warm rainy monsoon and the dry cool winter.

The Symbol table is as follows:

1) Rajiv is the brother of Atul.

2) Atul is the son of Sonia.

Implies, Rajiv is also the son of Sonia.

3) Sonia is the sister of Sunil.

Implies, Sunil is the maternal uncle of Rajiv and Atul.

Hence, Rajiv is the "son" of Sonia.

The logic follows here is:

In fig 1:

12 = 6 ÷ 2 × 4

12 = 3 × 4 

12 = 12

In fig 2:

80 = 20 ÷ 2 × 8

80 = 10 × 8

80 = 80

Similarly,

63 = ? ÷ 2 × 21

63 / 21 = ? ÷ 2

3 = ? ÷ 2

? = 3 × 2

? = 6

Hence, the correct answer is "6".

Educational psychology is a must for solving problems like backwardness, cheating, indiscipline, and improper environment. It is the branch of psychology which is applied to the field of education and studies the behaviour of students in educational settings.

Brainstorming is a large or small group activity that encourages students to focus on a topic and contribute to the free flow of ideas. The teacher may begin a brainstorming session by posing a question or a problem, or by introducing a topic. Students then express possible answers, relevant words and ideas.
Buzz group is a cooperative learning technique consisting the formation of small discussion groups with the objective of developing a specific task (idea generation, problem solving and so on) or facilitating a group of people reach a consensus on their ideas about a topic in a specific period of time. So, buzz groups allow covering the discussion about different aspects referred to the same study themes, maximizing the possibilities of partition of the members of the group.
Project method is also known as project-based learning. It is a dynamic approach to teaching in which students explore real-world problems and challenges, simultaneously developing cross-curriculum skills while working in small collaborative groups. In a project method or work, learner plays a very important role right from the initial stage (i.e. planning stage) to the last stage (i.e. reporting stage). This method also includes an instructor to correct learner.
Therefore, in all these ways, the learners can practice proactively.

'If you are given 100 rupees, what will you do?' The objective of asking this type of question is to give place to child's experience and thinking. The child will think how he can use 100 rupees judiciously and take into account his previous experience in doing so. Through the use of 100 rupees the priorities of the child will reflect which he/she gained from the past experiences. There can be a child who believes more in saving the money or there may be some who prefer spending. Hence the thinking of the child can reflect.

Objective questions are beneficial to assess the knowledge of the complete syllabus in short time. Maximum syllabus can be covered by making objective type questions. Hence, this is the ideal way to assess whether the child has prepared entire syllabus or not.

Equation of normal to the ellipse at ‘P’ is
5x sec θ – 3y cosec θ = 16 …(1)
Equation of normal to the circle x² + y² = 25 at point Q is –

y = x tan θ
Eliminating θ from (1) & (2). We get x² + y² = 64.

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

Verify g² - f² = 12

We can write the given equation as
(x – a)² = 3 – a
This shows that 
Both the roots of the given equation will be less than 3 if the larger of the two roots is less than 3, that is, if 


⇒ 3 - a > 1 or a < 2
Thus a > 3 and a < 2 ⇒ a < 2

Order of a differential equation is defined asthe order of the highest order derivative ofthe dependent variable.

As no value of x in (0, 1) can satisfy the given equation.Thus, the given equation has only one solution.

Since sin⁻¹x is defined for |x|⩽1, and sec⁻¹x is defined for |x|⩾1,therefore,f(x) is defined only when|x|=1.so, D_f = {−1,1}.

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

sin³10° + sin³50° - sin³70° 
= 1/4 [(3 sin 10° - sin 30°) + (3 sin 50° - sin 150°) - (3 sin 70° - sin 210°)]

 therefore , slope of tangent at (1,1) = - 1 and the slope of tangent at (- 1 ,1) = 1. Hence , the two tangents in reference are at right angles.

Teachers must be aware of the fact that every child is different from each other. The differences occur from physical characteristics to learning style and ability. The objective of education is to provide the fullest possible development of learners. So, to address the individual differences in students a school should follow a child-centered curriculum and provide multiple learning opportunities to students. The teachers should find out the different strengths and weaknesses of students before adopting an appropriate curriculum.
Hence, the correct answer is, 'Follow a child-centered curriculum and provide multiple learning opportunities to students.'

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.'

An "ulterior motive" refers to a desire that is kept concealed by displaying some other cause.
Example- The ulterior motive of the conspirators was revealed during the investigation. 
Vendetta means to have a prolonged fight or unsolved issue with someone that hinders positive growth.
Propaganda is basically the spreading of news that is untrue, mostly done in order to fulfill political objectives.
Grudge means to have a constant feeling of ill will or resentment for someone/something resulting from a past insult or injury.
Ulterior motive stands for the hidden motive that is present in the things done in public sight. It can be compared to collusion.