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NVS PGT Mathematics Mock Test - 4 - NVS TGT/PGT MCQ


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30 Questions MCQ Test - NVS PGT Mathematics Mock Test - 4

NVS PGT Mathematics Mock Test - 4 for NVS TGT/PGT 2024 is part of NVS TGT/PGT preparation. The NVS PGT Mathematics Mock Test - 4 questions and answers have been prepared according to the NVS TGT/PGT exam syllabus.The NVS PGT Mathematics Mock Test - 4 MCQs are made for NVS TGT/PGT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for NVS PGT Mathematics Mock Test - 4 below.
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NVS PGT Mathematics Mock Test - 4 - Question 1

Arrange the following events of the French Revolution in chronological order and choose the right answer :

(a) Fall of Bastille

(b) Formation of National Assembly

(c) Establishment of the French Republic

(d) ​Declaration of the Rights of man

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 1

The correct answer is b, a, d, c.

Key Points

  • French Revolution:
    • The French Revolution was a mass movement that shook France and had a far-reaching impact on the world.
    • It was Lasting from 1789 to 1799, it is regarded as one of the most important events in world history.
    • The Revolution began with the rebellion of the Third Estate, which comprised a large majority of the population but was neglected.
    • The representatives of the Third Estate took the Tennis Court Oath on June 20, 1789 pledging not to separate until they had given France a constitution.
    • This was followed by the Storming of the Bastille and the Women’s March on Versailles, incidents through which the Revolution gathered momentum.
    • The execution of King Louis XVI and his wife Marie Antoinette resulted in the Revolution entering its most bloody stage known as the Reign of Terror.
    • A coup, led by Napoleon Bonaparte in 1799 brought an end to the French Revolution with the establishment of a Consulate and later an Empire.
    • Major events and their date of the french revolution:
    • Formation of National Assembly- 13 June 1789
    • Fall of Bastille- 15 July 1789
    • Declaration of the Rights of Man- 26 August 1789
    • Establishment of the French Republic-  21 September 1792

Additional Information

  •  Other major events of the French Revolution and their dates:
NVS PGT Mathematics Mock Test - 4 - Question 2

Profit in a transaction is 80%. If the cost increases by 20%, then what is the change in profit percentage, if the selling price is the same?

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 2

Let CP of the article be Rs. 100

⇒ SP of the article = 100 × 180/100 = Rs. 180

New cost price = 100 × 120/100 = Rs. 120

⇒ New profit = 180 – 120 = 60

Profit percentage = 60/120 × 100 = 50%

∴ Change in profit percent = 80 – 50 = 30% decrease 
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NVS PGT Mathematics Mock Test - 4 - Question 3

Identify the figure that completes the pattern:

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 3

NVS PGT Mathematics Mock Test - 4 - Question 4

Find the number of triangles in the figure.

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 4

The figure shown the no. of triangle is in the diagram so that total no. of triangle is 8 + 8 + 8 + 4 = 28

NVS PGT Mathematics Mock Test - 4 - Question 5

Direction: Read the following information carefully and answer the questions that follow.
A blacksmith has five iron articles A, B, C, D and E each having a different weight.
I. A weight is twice as much as of B.
II. B weight is four and half times as much as of C.
III. C weight is half times as much as of D.
IV. D weight is half as much as of E.
V. E weight is less than A but more than C.

Q. Which of the following is the heaviest in weight?

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 5

According to question,
A's weight is twice as much as of B.
1. A = 2B.
B's weight is four and half times as much as of C.
2. B = 4.5C
C's weight is half times as much as of D.
3. C = D/2.
D's weight is half as much as of E.
4. D = E/2.
E weight is less than A but more than C.
5. A > E > C
from 1 and 2
6. A = 2B = 9C
from 6 and 3
7. A = 2B = 9C = 4.5D
from 7 and 4
8. A = 2B = 9C = 4.5D = 2.25E
so from 8 and 5
A > B > E > D > C

So A is the heaviest in the weight.

NVS PGT Mathematics Mock Test - 4 - Question 6

In each of the following questions, a series is given. Find the term that will replace the question mark.

27, 64, 125, ?, 343, 512

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 6

The pattern followed is:

Hence, the correct answer is "216".

NVS PGT Mathematics Mock Test - 4 - Question 7

Select the Venn diagram that best illustrates the relationship among the following classes.

Neptune, Planet, Moon

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 7

Given: Neptune, Planet, Moon

The logic followed here is: Neptune is a Planet, but Moon is not. Moon is a natural satellite.

Hence, option (4)  is the correct answer.

NVS PGT Mathematics Mock Test - 4 - Question 8

Identify the following:
1. - It is also referred to as a web address.   
2. - It specifies the internet address of a file stored on a host computer or server connected to the internet.

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 8
Identification of Terms:
1. It is also referred to as a web address.
2. It specifies the internet address of a file stored on a host computer or server connected to the internet.

The terms in question can be identified as follows:
1. Web browser:
- A web browser is a software application used to access and view websites on the internet.
- It allows users to interact with web pages, access information, and navigate the internet.
2. URL (Uniform Resource Locator):
- A URL is a string of characters that specifies the location of a resource on the internet.
- It is also commonly referred to as a web address.
- A URL consists of various components, including the protocol (e.g., HTTP or HTTPS), the domain name (e.g., www.example.com), and optional path or parameters.
3. DNS (Domain Name System):
- DNS is a hierarchical decentralized naming system for computers, services, or other resources connected to the internet.
- It translates domain names (e.g., www.example.com) into IP addresses that can be understood by computers.
- DNS plays a crucial role in resolving domain names to their corresponding IP addresses.
4. Hyperlink:
- A hyperlink is a reference or navigation element within a document that allows users to jump directly to a different location.
- It can be text, an image, or any other object that can be clicked or activated to access another resource or webpage.
Conclusion:
Based on the given descriptions, the correct identification for the terms is as follows:
1. Web browser - A software application used to access and view websites on the internet.
2. URL - A web address that specifies the location of a resource on the internet.
NVS PGT Mathematics Mock Test - 4 - Question 9

What is the keyboard shortcut for creating duplicate slide in PowerPoint?

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 9

To create a duplicate slide in PowerPoint, you can use the keyboard shortcut "Ctrl Shift D". Here is a detailed explanation of the solution:
Step 1: Open PowerPoint and go to the slide you want to duplicate.
Step 2: Make sure the slide is selected. You can click on it in the slide thumbnail pane on the left side of the screen.
Step 3: Press and hold the "Ctrl" key on your keyboard.
Step 4: While holding the "Ctrl" key, press and hold the "Shift" key.
Step 5: While holding both the "Ctrl" and "Shift" keys, press the "D" key.
Step 6: Release all the keys.
By following these steps and using the "Ctrl Shift D" keyboard shortcut, you will be able to quickly create a duplicate slide in PowerPoint. This can be useful when you want to create multiple slides with similar content or layouts without starting from scratch.
NVS PGT Mathematics Mock Test - 4 - Question 10

Which of the following is the correct sequence of steps to open MS-Word?

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 10
Opening MS-Word: Sequence of Steps
To open MS-Word, you need to follow the correct sequence of steps. The correct sequence is:
Step 1:
Click on the "Start" button from the Windows taskbar.
Step 2:
Navigate to the "Programs" or "All Programs" option.
Step 3:
Look for the "MS-Office" folder or the "Microsoft Office" folder within the Programs menu.
Step 4:
Click on the "MS-Office" or "Microsoft Office" folder to expand it.
Step 5:
Within the MS-Office or Microsoft Office folder, locate the "MS-Word" or "Microsoft Word" application.
Step 6:
Click on the "MS-Word" or "Microsoft Word" application to open it.
Example:
For example, if you are using Windows 10, the sequence of steps would be:
Start → Programs → MS-Office → MS-Word
Note: The exact sequence of steps may vary slightly depending on the version of Windows and MS-Office you are using. However, the general procedure remains the same.
Conclusion:
By following the correct sequence of steps, you can easily open MS-Word and start working on your documents.
NVS PGT Mathematics Mock Test - 4 - Question 11

The basic cause of a teacher`s failure in maintaining discipline is the lack of

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 11

Disciplinary issues come up when a teacher fails to engage students in a meaningful and constructive programme. The nature of students is volatile. They are easily distracted by things. Only a constructive programme could help them gain attention towards the meaningful tasks conducted in the classroom, so that their mind remains occupied to the most productive tasks.

NVS PGT Mathematics Mock Test - 4 - Question 12

If x ∈ R, x ≠ 0, then the value of sec θ + tan θ is 

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 12

 

NVS PGT Mathematics Mock Test - 4 - Question 13

 How many 10 digit numbers can be made with odd digits so that no two consecutive digits are same.


Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 13

The odd digits which can be considered are (1,3,5,7 and 9).
If we start from left, the first digit can be any number out of the five digits. The second place can be filled with any four digits except the digit at the first place.
Similarly, four ways for the third digit until we reach the tenth place.
Therefore, the total numbers formed are 5 × 49

NVS PGT Mathematics Mock Test - 4 - Question 14

A tangent to the parabola x2 = 4ay meets the hyperbola x2 - y2 = a2 at two points P and Q, then midpoint of P and Q lies on the curve

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 14

Equation of tangent to parabola y = mx- am2 .......(1) equation of chord of hyperbola whose midpoint is (h, k) is  hx - ky = h2 - k2 ...... (2) form (1) and  (2) 

NVS PGT Mathematics Mock Test - 4 - Question 15

Number of positive integral ordered pairs of (a, b) such that 6, a, b are in H.P is

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 15

6, a bare in H.P 
 are in A.P.

NVS PGT Mathematics Mock Test - 4 - Question 16

The value of Cos75°is equal to

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 16

    

NVS PGT Mathematics Mock Test - 4 - Question 17

sec-1x + cosec-1x =​

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 17

sec-1x + cosec-1x =​ π/2 ; x belongs to [ -1 , 1 ]

NVS PGT Mathematics Mock Test - 4 - Question 18

tan x = - 5/12, x lies in the second quadrant. So sinx = ?

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 18

tanx = -5/12
Therefore perpendicular = -5, base = 12
Applying pythagoras theorem,
(hyp)2 = (per)2 + (base)2
⇒ (-5)2 + (12)2
hyp = [25+144]1/2
hyp = (169)1/2
hyp = 13
sinx = perpendicular/hypotenous
= -5/13 
In second quadrant, only sin x, cosec x are positive
So. sinx = 5/13

NVS PGT Mathematics Mock Test - 4 - Question 19

The area bounded by the curves y= |x−1| and y = 1 is given by

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 19

The given curves are : (i) y = x – 1 , x > 1 . (ii) y = - (x – 1) , x < 1. (iii) y = 1 these three lines enclose a triangle whose area is : 1/2 .base.height = 1/2 .2 .1 = 1 sq. unit.

NVS PGT Mathematics Mock Test - 4 - Question 20

Magnitude of the vector 

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 20

We have :

NVS PGT Mathematics Mock Test - 4 - Question 21

The equation of the chord of x2 + y2 - 4x + 6y + 3 = 0 whose mid point is (1, -2) is

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 21


x-y-3=0

NVS PGT Mathematics Mock Test - 4 - Question 22

Education of children with special needs should be provided:

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 22

The Education of children with special needs should be provided along with children with non-special needs. To promote the education of special needs children along with non-special needs children concept of inclusive education was proposed. In Inclusive Education, all students are welcomed, they have been given equal opportunity irrespective of caste, creed, religion, special-needs, non-special needs.
Hence, the correct answer is, 'Along with other normal children.'

NVS PGT Mathematics Mock Test - 4 - Question 23

In the context of higher education, National Education Policy 2020 has emphasized the need for

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 23
  • The National Education Policy 2020 in India has highlighted the importance of internationalization in the context of higher education.
  • This includes promoting the mobility of students and faculty across borders, promoting the exchange of knowledge and ideas, and increasing collaborations between Indian and foreign institutions.
  • The policy aims to promote India as a global study destination by establishing world-class universities in India and by encouraging foreign universities to set up campuses in the country.
  • The NEP 2020 also proposes to allow top-ranked Indian universities to open campuses abroad to enhance their global footprint.
  • Overall, the focus on internationalization in the National Education Policy 2020 is aimed at promoting excellence, innovation, and collaboration in higher education, and making Indian institutions more globally competitive.

Thus, it is concluded that In the context of higher education, National Education Policy 2020 has emphasized the need for Internationalization.

NVS PGT Mathematics Mock Test - 4 - Question 24
As per NEP-2020, the responsibility to develop Adult Education Framework has been given to which one of the following organisations?
Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 24

As per NEP 2020, adult education curriculum framework will be developed by a new and well-supported constituent body of the NCERT that is dedicated to adult education, so as to develop synergy with and build upon NCERT’s existing expertise in establishing outstanding curricula for literacy, numeracy, basic education, vocational skills, and beyond.

Key PointsThe curriculum framework for adult education will include at least five types of programmes:-

  •  foundational literacy and numeracy
  •  critical life skills (including financial literacy, digital literacy, commercial skills, health care and awareness, child care and education, and family welfare)
  • vocational skills development (with a view towards obtaining local employment)
  •  basic education (including preparatory, middle, and secondary stage equivalency)
  •  continuing education (including engaging holistic adult education courses in arts, sciences, technology, culture, sports, and recreation, as well as other topics of interest or use to local learners, such as more advanced material on critical life skills).

Thus, it is concluded that As per NEP-2020, the responsibility to develop the Adult Education Framework has been given to NCERT.

NVS PGT Mathematics Mock Test - 4 - Question 25

In the following question, an idiomatic expression and its four possible meanings are given. Find out the correct meaning of the idiom.
Q. Rajesh claimed that we are all in the same boat regarding the preparation for the exams.

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 25

'All in the same boat' figuratively means that a group of people is facing the similar situations or difficulties. Option 4 represents this meaning correctly.
Example- At times of danger all humans seem to be in the same boat irrespective of divides.

NVS PGT Mathematics Mock Test - 4 - Question 26

Directions: Improve the bracketed part of the sentence. 

Q. He (like) to picture himself as an original thinker. 

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 26

The correct form of the word would be 'likes'. This is because the subject of the sentence is singular. 

NVS PGT Mathematics Mock Test - 4 - Question 27

Improve the bracketed part of the sentence with the parts given below.

Q. ONGC has claimed (to have start) a new updated natural gas refinery at Digboi.

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 27

The statement shows that ONGC is claiming to have started a new refinery at Digboi. This shows an activity that has been executed in the past and the sentence has to be in the simple past tense.
Thus only option 3 fulfills this criteria and hence is correct. 

NVS PGT Mathematics Mock Test - 4 - Question 28

Directions: Improve the bracketed part of the sentence.
Q. The manager thought that there had been enough discussion on the matter and told his subordinates to (get up to) work.

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 28

The correct option is Option 2, i.e., ‘get down to’.
The sentence talks about a manager telling his subordinates that enough discussion was done and it was time to work. The phrasal verb ‘get down to’ means ‘to get serious about something’. Hence, the correct option is Option 2.

NVS PGT Mathematics Mock Test - 4 - Question 29

Improve the bracketed part of the sentence with the parts given below.

Q. India (will soon hold) talks on the issue of militancy with Afghanistan.

Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 29

The sentence shows a prediction that India will hold talks with Afghanistan in the future on militancy. It depicts a simple future form in nature. Thus, as it is already in the said simple future tense, no further improvement is required.
Hence option 4 is correct.

NVS PGT Mathematics Mock Test - 4 - Question 30
तुलसीकृत' शब्द के संदर्भ में कौन-सा विकल्प सही है?
Detailed Solution for NVS PGT Mathematics Mock Test - 4 - Question 30

सही उत्तर है - "यह तत्पुरुष समास है।"Key Points

  • 'तुलसीकृत' शब्द के संदर्भ में "यह तत्पुरुष समास है" l - विकल्प सही है l
  • तुलसीकृत में समास का उपभेद तृतीया तत्पुरूष (करण तत्पुरूष) समास है l
  • करण तत्पुरुष:-
    • जिसके प्रथम पद के साथ करण कारक की विभक्ति (से/द्वारा) लगी हो। उसे करण तत्पुरुष कहते हैं।
  • 'तुलसीकृत' का उचित समास विग्रह 'तुलसी द्वारा रचित' होगा।
  • तत्पुरुष समास -
    • 'तुलसीकृत' शब्द में बीच की विभक्ति 'द्वारा' का लोप होने के कारण यह तत्पुरुष समास का उदाहरण है।
  • जिस समास में प्रथम पद गौण और उत्तर पद की प्रधानता होती है और समास करते वक्त बीच की विभक्ति का लोप हो जाता है।

अन्य विकल्प:-

  • तत्पुरुष और कर्मधारय दोनों का उदाहरण है।, यह कर्मधारय समास है। - यह विकल्प अनुचित है क्योंकि तुलसीकृत शब्द में कर्मधारय समास नहीं है l
  • इसमें पूर्व पद प्रधान है। - यह विकल्प अनुचित है क्योंकि तुलसीकृत शब्द तत्पुरुष समास का उदाहरण है, जिसमें पूर्वपद प्रधान होता नहीं होता l तत्पुरुष समास में उत्तर या द्वितीय पद प्रधान होता है l

Additional Information

  • 'संक्षिप्तिकरण' को समास कहते हैं।
  • कर्मधारय समास - पहला पद विशेषण और दूसरा पद विशेष्य होता है अथवा इसके पूर्वपद और उत्तर पद में उपमान और उपमेय का संबंध होता है।
  • उदाहरण:-
    • नवयुवक = नव है जो युवक
    • नील कमल = नील के समान कमल।
    • सूरजमुख= सूरज के समान मुख। ·
  1. तत्पुरुष समास के उदाहरण:-
  • देशभक्ति = देश के लिए भक्ति
  • घुड़साल = घोड़ों के लिए साल (भवन)
  • सभामंडप = सभा के लिए मंडप
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