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EMRS PGT Mathematics Mock Test - 5 - EMRS MCQ


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30 Questions MCQ Test - EMRS PGT Mathematics Mock Test - 5

EMRS PGT Mathematics Mock Test - 5 for EMRS 2024 is part of EMRS preparation. The EMRS PGT Mathematics Mock Test - 5 questions and answers have been prepared according to the EMRS exam syllabus.The EMRS PGT Mathematics Mock Test - 5 MCQs are made for EMRS 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for EMRS PGT Mathematics Mock Test - 5 below.
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EMRS PGT Mathematics Mock Test - 5 - Question 1

In which of the following states of India is the Moatsu festival celebrated?

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 1

Option 1 is correct, i.e. Nagaland.

Key Points

  • The Ao tribe of Nagaland has one such special festival, known as the Moatsu festival. 
  • This festival is celebrated after seeds have been sown in the fields.
  • Men and women of the tribe gather around large outdoor fires and performing traditional dances.

Additional Information

Some important festivals of Northeastern states are:

EMRS PGT Mathematics Mock Test - 5 - Question 2

Find the wrong number in the following number series:

121, 169, 289, 361, 529, 576

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 2

In the question,

112 = 121

132 = 169

172 = 289

192 = 361

232 = 529

242 = 576

Thus we can say except for (24)2 , all the given number is a square of a prime number.

Hence, Option (2) is correct.

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EMRS PGT Mathematics Mock Test - 5 - Question 3

Abhijit born on 03 December 1995, completed his Engineering Degree with 70% marks till his 5th semester in a regular course, and he does not have any permanent body tattoos.

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 3

Hence, the applicant meets all the criteria.

EMRS PGT Mathematics Mock Test - 5 - Question 4

Which of the following pairs of friends are good, both in English and Science?

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

Four friends W, X, Y and Z are students of Class 10th.

i) W and X are good in Hindi but poor in English.

ii) W and Y are good in Science but poor in Mathematics.

iii) Y and Z are good in English but poor in Social Studies.

iv) Z and X are good in Mathematics as well as in Science.

Thus we can see Y and Z pairs of friends are good, both in English and Science

Hence, the correct answer is "Y and Z".

EMRS PGT Mathematics Mock Test - 5 - Question 5

In a given number 7834329513, we interchange the first and the second digits, the third and the fourth digit and so on. Then which digit will be sixth from the right?

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 5

Given number: 7 8 3 4 3 2 9 5 1 3

After interchanging the digits,
New number: 8 7 4 3 2 3 5 9 3 1

6th digit from right end

EMRS PGT Mathematics Mock Test - 5 - Question 6

How many squares in the figure?

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 6

The total squares is in the give figure is 1+ 2+ 3+ 4= 30

EMRS PGT Mathematics Mock Test - 5 - Question 7

Which of the following statements hold(s) true about multimedia files?
Statement 1: It is always stored on remote server and can never be downloaded.
Statement 2: It is a combination of picture, sound and animation.

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 7

Multimedia files can be easily downloaded as and when required.

multimedia file can be any computer file that plays audio and video, audio only, or video only. Some examples of popular multimedia files include the . mp3 audio file, . mp4, video, and avi video, and wmv files.

So, only statement 2 is true

EMRS PGT Mathematics Mock Test - 5 - Question 8

How to delete a particular word in a document using shortcut key?

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 8
How to delete a particular word in a document using shortcut key?
To delete a particular word in a document using a shortcut key, you can follow these steps:
Option 1: Ctrl + Del
- Place the cursor at the end of the word you want to delete.
- Press the Ctrl key and the Del key simultaneously.
Option 2: Alt + Del
- Place the cursor at the end of the word you want to delete.
- Press the Alt key and the Del key simultaneously.
Option 3: Ctrl + Backspace
- Place the cursor at the end of the word you want to delete.
- Press the Ctrl key and the Backspace key simultaneously.
Option 4: Both (a) and (c)
- Both Ctrl + Del and Ctrl + Backspace can be used to delete a particular word in a document.
These shortcut keys provide a quick and efficient way to delete a specific word without the need for manually selecting and deleting the word. You can choose the option that feels most comfortable for you or use both options interchangeably depending on your preference and the specific situation.
Remember to save your document after making any changes to ensure that the deleted word is permanently removed from the document.
EMRS PGT Mathematics Mock Test - 5 - Question 9

In which of the following process a software is used to create a mathematical model of some physical object as shown in the image?

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 9

3D models are created using geometrical shapes such as polygons, straight lines, arcs, curves, etc. These 3D models are used in television, film, gaming and architecture industries.

EMRS PGT Mathematics Mock Test - 5 - Question 10

Directions: Assign true (T) or false (F) to the following sentences.
a. Teaching aid should be in accordance to the matter to be taught.
b. A good classroom uses maximum number of teaching aids.
c. Use of teaching aids should be as per the environment and situation.
d. Teaching aids deviate the mind of the student to an imaginary world.

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 10

TFTF is correct. Teaching aid should be in accordance to the chapter to be focused on. Also a good classroom does not use maximum number of teaching aids, but optimum number of teaching aids i.e. as per the requirement of the lesson. Using teaching aids should be as per the environment and situation at the teaching place and also should not deviate mind of the student to an imaginary world, but make them more focused.

EMRS PGT Mathematics Mock Test - 5 - Question 11

Mrs. Geeta wants to foster creativity and imagination power of her students. Which of the teaching aids given below can play a vital role in fulfilling this role?

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 11

Flannel boards can be used to foster creativity and imagination power of the students. These boards can be used to display creativity of the students. They also provide a better opportunity to develop lessons.

EMRS PGT Mathematics Mock Test - 5 - Question 12

Mr. Rathore uses a lot of audio-visual aids while teaching. The main reason for doing so is

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 12

Mr. Rathore uses a lot of audio-visual aids while teaching. The main reason for doing so is to take care of the requirements of all the children. Audio-visual aids make the learning permanent. They stimulate both aural and visual senses of children. Some children understand better on observation i.e. visual, whereas other students understand better on aural stimulation. Thus, requirements of all the students are taken care of.

EMRS PGT Mathematics Mock Test - 5 - Question 13

Write A = {1, 4, 9, 16, 25} in set builder form.

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 13
  • We know that, 12 = 1, 22 = 4, 32 = 9, 42 = 16, 52 = 25
  • Therefore the set A = {1, 4, 9, 16, 25...} can be written in set builder form as: 
    A = {x: x is the square of a natural number}
EMRS PGT Mathematics Mock Test - 5 - Question 14

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

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 14

 

EMRS PGT Mathematics Mock Test - 5 - Question 15

Period of 15csc(x/3) is

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 15

15cosec(x/3)= 2π/1/3=6 π

EMRS PGT Mathematics Mock Test - 5 - Question 16

The smallest value of the polynomial x3−18x2+96 in the interval [0, 9] is

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 16

x3 - 18x2 + 96x = x(x2 - 18x + 96) = x[(x-9)2 + 15]
 =x(x-9)+15 ≥ 0

EMRS PGT Mathematics Mock Test - 5 - Question 17

Let n be a positive integer such that 

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 17




since n is appositive integer

EMRS PGT Mathematics Mock Test - 5 - Question 18

If l, m, n are the direction cosines and a, b, c are the direction ratios of a line then

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 18

If l, m, n are the direction cosines and a, b, c are the direction ratios of a line then , the directions cosines of the line are given by :

EMRS PGT Mathematics Mock Test - 5 - Question 19

 The function f : R /{0} → R given by vf(x) =  can be made continuous at x = 0 by defining f(0) as

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 19

EMRS PGT Mathematics Mock Test - 5 - Question 20

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

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 20

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.

EMRS PGT Mathematics Mock Test - 5 - Question 21

The length of the common chord of circles x2 + y2 – 6x – 16 = 0 and x2 + y2 – 8y – 9 = 0 is

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 21

EMRS PGT Mathematics Mock Test - 5 - Question 22

If a1, a2,--------an  are real numbers and cos α + isin α is a root of zn +a1zn-1 + a2zn-2 +-----+an-1z+an = 0, then the value of a1 cos α + a2 cos 2α + a3 cos 3α + ------ +an cos na is

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 22

cosα - isinα is root of zn + a1zn-1 + a2zn-2 + ----
an (1/z)n + an-1(1/z)n-1 + -------+ a1(1/z) + 1 = 0.
-----+an-1z+an = 0 i.e of
Equating real and imaginary parts on both sides, 

acos nα + an-1 cos (n-1)α + -----+a2 cos 2α + a1 cos α + 1 = 0

EMRS PGT Mathematics Mock Test - 5 - Question 23

Schools should cater to individual differences to:

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 23

Schools should cater to individual differences to understand why students are able or unable to learn. The objective of education is to provide the fullest possible development for each learner. Education fosters morality, creativity, innovativeness, imaginative power, thinking ability of critical analysis, etc. Everyone has the right to education and every school should be aware of this fact. They should find suitable ways for students to learn better.
Hence, the correct answer is, 'Understand why students are able or unable to learn.'

EMRS PGT Mathematics Mock Test - 5 - Question 24

Assertion(A): Teacher and their students visits a zoological park and students can learn about animals more effectively by directly seeing them.
Reason(R): Children can learn more effectively by observational and direct interactional based learning.

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 24

Psychologist Albert Bandura is the researcher most often associated with learning through observation. He and others have demonstrated that we are naturally inclined to engage in observational learning.

EMRS PGT Mathematics Mock Test - 5 - Question 25

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

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 25
  • 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.

EMRS PGT Mathematics Mock Test - 5 - Question 26
According to National Education Policy 2020, Learning should be
Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 26

The National Education Policy 2020 aims to bring transformational reforms in school and higher education and thus shape India into a global knowledge superpower.

  • This policy will usher in sweeping changes to the education policy of the country, including a renaming of the Ministry of Human Resource Development as the Education Ministry.

Key Points

  • NEP 2020 is based on the principle that education must develop not only cognitive capacities but also social, ethical, and emotional capacities and dispositions.  
  • < />NEP-2020 has given emphasis on conceptual understanding, creativity and critical thinking, human ethical values, and constitutional values.
  • < /> It proposes that experiential learning should be encouraged to promote conceptual understanding as experiential learning refers to learning by gaining experience through active involvement. 
  • As per National education policy 2020, education must adopt experiential learning including hands-on learning, arts-integrated and sports-integrated education, story-telling-based pedagogy, etc.

Hence, it can be concluded that National Education Policy 2020 states that learning should be experiential.

EMRS PGT Mathematics Mock Test - 5 - Question 27
निर्झर - निर्जर' शब्द युग्म के सही अर्थ भेद का चयन कीजिए:
Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 27
सही उत्तर है - 'झरना - देवता' l
Key Points
  • 'निर्झर - निर्जर' शब्द युग्म का सही अर्थ - 'झरना - देवता' l
    • निर्झर - निर्जर यह दोनों 'श्रुतिसम भिन्नार्थक' शब्दों के उदाहरण है l
  • निर्झर का अर्थ:- झरना l
  • निर्जर का अर्थ:- देवता l
    • अन्य विकल्प 'निर्झर - निर्जर' शब्दों का सही अर्थ ना बताने के कारण गलत उत्तर है l

Additional Information

  • ऐसे शब्द जो पढ़ने और सुनने में लगभग एक-से लगते हैं, परंतु अर्थ की दृष्टि से भिन्न्न होते हैं, श्रुतिसम भिन्नार्थक शब्द कहलाते हैं।

श्रुतिसम भिन्नार्थक शब्द के उदाहरण :-

  • अलि - भौंरा - फूलों पर बहुत-से अलि मँडरा रहे है।
  • अली - सखी - राधा की एक अली का नाम शांता था।
  • नीर - पानी - भाषा बहता हुआ नीर होती है।
  • नीड़ - घोंसला - रात में पंछी अपने-अपने नीड़ों में विश्राम करते हैं।
EMRS PGT Mathematics Mock Test - 5 - Question 28

दिए गए शब्द युग्म का सही अर्थ ज्ञात कीजिए।

सर्व-शर्व

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 28

सही उत्तर है - "सभी-शैव" lKey Points

  • सर्व का अर्थ है - सभी l
  • शर्व का अर्थ है - शैव l
  • इसलिए यह सही उत्तर है l

अन्य विकल्पों का विश्लेषण:-

  • शव शब्द का अर्थ है - मृतक का शरीर, लाश l
  • सही का अर्थ है - ठीक l
  • शाकाहारी का अर्थ है - वह जो बस वनस्पति खाता है l
  • इन तीनों शब्द जोड़ों में एक- एक शब्द का अलग अर्थ है, इसलिए यह तीनों प्रश्न में दिए गए शब्द- युग्म के सही अर्थ को नहीं बताते l

Additional Information

  • सर्व-शर्व यह दोनों श्रुतिसम भिन्नार्थक शब्दों के उदाहरण है जो सुनने में एक जैसे लगते हैं, और वर्तनी में भी कुछ सामान ही होते हैं, लेकिन इनके अर्थ बिल्कुल अलग-अलग होते हैं l
  • ऐसे कुछ शब्दों के उदाहरण:-
  • चर्म- चमड़ा
    • चरम- अत्यधिक
  • हय- घोड़ा
    • हिय- हृदय
  • श्रवण- सुनना, कान
    • श्रमण- बौद्ध संन्यासी
EMRS PGT Mathematics Mock Test - 5 - Question 29

निम्नलिखित प्रश्न में, चार विकल्पों में से, उस सही विकल्प का चयन करें जो दिए गए शब्द-युग्म के सही अर्थ का उचित विकल्प हो।

बल-वल

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 29

बल-वल इसका सही उत्तर विकल्प 3 ताकत-मेघ है। अन्य विकल्प इसके अनुचित हैं।
Key Points

  • बल का अर्थ – ताकत
  • वल का अर्थ – मेघ

Additional Information

EMRS PGT Mathematics Mock Test - 5 - Question 30

निम्नलिखित प्रश्न में, चार विकल्प दिए गए हैं जिनमें से एक शब्द दिए गए अनेकार्थी शब्द का एक अर्थ नहीं है। उस शब्द का चयन करें।

घन

Detailed Solution for EMRS PGT Mathematics Mock Test - 5 - Question 30

दिए गए विकल्पों में सही उत्तर विकल्प 1 ‘घड़ाहै। अन्य सभी विकल्प इसके अनुचित उत्तर होंगे।

Key Points

  • दिए गए विकल्पों में घन का अनेकार्थी शब्द 'घड़ा' नहीं है।
  • घड़ा के अनेकार्थी शब्द हैं- घट, शरीर, हृदय, कम।
  • घड़ा के पर्यायवाची शब्द हैं- गगरा, घट, कुभ, कलश।

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