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EMRS PGT Mathematics Mock Test - 2 - EMRS MCQ


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30 Questions MCQ Test EMRS PGT Mock Test Series 2024 - EMRS PGT Mathematics Mock Test - 2

EMRS PGT Mathematics Mock Test - 2 for EMRS 2024 is part of EMRS PGT Mock Test Series 2024 preparation. The EMRS PGT Mathematics Mock Test - 2 questions and answers have been prepared according to the EMRS exam syllabus.The EMRS PGT Mathematics Mock Test - 2 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 - 2 below.
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EMRS PGT Mathematics Mock Test - 2 - Question 1

If 'MANIPUR' is written as 'NBOJQVS', how can 'PATTERN' be written in that code?

Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 1

The logic followed is:

Given code: "MANIPUR is written as NBOJQVS

Similarly,

Thus "PATTERN will be written as "QBUUFSO".

Hence, the correct answer is "QBUUFSO". 

EMRS PGT Mathematics Mock Test - 2 - Question 2

Choose the similar figure in the options.

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

The pattern followed is:
Given series:

1. There is a rotation of 90º clockwise in next each step.
2. One similar figure is added next to each step.
The figure which will come next is,

Hence, the correct answer is "Option 3".

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EMRS PGT Mathematics Mock Test - 2 - Question 3

Study the following carefully and answer the given question.

Which region denotes singers, who are directors but not actors?

Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 3

From the diagram given below:

The shaded part represents the singers, who are directors but not actors.

Hence, the correct answer is "7".

EMRS PGT Mathematics Mock Test - 2 - Question 4
ICT promotes _______ and _______ skills.
Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 4

The National Policy on ICT in school education (2012) of India defines ICTs as “all devices, tools, content, resources, forums, and services, digital and those that can be converted into or delivered through digital forms, which can be deployed for realizing the goals of teaching-learning, enhancing access to and reach of resources, the building of capacities, as well as management of the educational system”.

Key Points

  • ICT promotes high-order thinking and reasoning skills.
  • ICT enables the use of innovative educational resources.
  • ICT plays a very important role in gathering the attention of the students in one place.
  • ICT can provide supportive or facilitative approaches in the classroom.
  • ICT can play a major role in promoting pedagogy for the facilitation of effective and efficient learning.
  • ICT can be used extensively to help the learner make the sense of the tasks assigned and learn what is required.

Hence, we can conclude that ICT promotes high-order thinking and reasoning skills.

EMRS PGT Mathematics Mock Test - 2 - Question 5

What is important in ICT supported teaching learning strategies?

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

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.

EMRS PGT Mathematics Mock Test - 2 - Question 6

Where ICT can be less useful and has its own drawback when it comes to communication -

Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 6

Information and Communication Technology (ICT) is defined as a diverse set of technological tools and resources used to communicate, create, disseminate, store, and manage information.

Key PointsAdvantages of ICT-

  • It promotes multi-sensory learning that engages more than one sense at a time. The lessons can be presented to the students in a variety of methods that will best engage them in the material and excite their brains.
  • Information and communication technologies (ICT), when made accessible and available, enable children with disabilities to fully and effectively engage, on an equal basis, in all facets of society and development.
  • It allows students and teachers to access information (books, articles, blogs, etc.). Students can learn about their subjects by watching videos, pictures, and listening to audio content.

Hence, it is clear that ICT increases the communication gap between children and parents.

Hint

  • ICT has increased the communication gap between child and parent as they become engrossed in various forms of technology, there may be less time for face-to-face interaction and developing close bonds among family members.
EMRS PGT Mathematics Mock Test - 2 - Question 7

What are the objectives of ICT in the education system?

Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 7

Planning for the effective use of ICTs in education necessitates understanding the potential of technology to meet different educational objectives and, consequently, deciding which of these objectives to pursue.

  • This decision affects the choice of technologies and the modalities of use.

Key Points

Following are the four objectives that may be enhanced by ICTs:

  1. expanding access to all levels of education;
  2. improving the quality of education;
  3. enhancing lifelong learning; and
  4. facilitating nonformal education

Hence, we can conclude that all of the above are the objectives of ICT.

EMRS PGT Mathematics Mock Test - 2 - Question 8

Which of the following types of evaluation assesses the learning progress to provide continuous feedback to both teachers and students during instruction?

Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 8

Formative evaluation refers to a wide variety of methods that teachers use to conduct in-process evaluations of student comprehension, learning needs and academic progress during a lesson, unit or course.

EMRS PGT Mathematics Mock Test - 2 - Question 9

Learning of an individual starts

Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 9

The stage of the embryo which nearly resembles a human being is called a fetus. Learning starts at fetal stage when a child starts reacting to different stimuli, as the sense organs are developed by this time.
The fetal nervous system starts developing very early in pregnancy. The main subdivisions of the brain are, in a basic form, visible at five gestational weeks. At about gestational weeks 25-29, the fetus is even able to hear internal (e.g. from the maternal gastrointestinal system) and external sounds. So, obviously the fetus gets a vague idea from the external environment through its senses, far before birth. Some studies even demonstrate that fetal heart rate patterns change distinctively, depending on whether the unborn child is exposed to the maternal voice or another female voice.

EMRS PGT Mathematics Mock Test - 2 - Question 10

The order of the equation 

Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 10

2

EMRS PGT Mathematics Mock Test - 2 - Question 11

Consider two figures A and D that are defined in the co-ordinate plane. Each figure represents the graph of a certain function, as
defined below:
A: | x | - | y | = a
D :| y | = d
If the are enclosed by A and D is O. Which of the following is a possible value of (a, d):

(2016)

Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 11

The lines represented by A where a > 0 and when a < 0 are given in the following figures

The area enclosed by A and D would be zero if d < |a|. In choice (b), d = 1 and a = – 2 i.e., d < |a|.
If a > 0, then the only case when the area enclosed by A and D will be zero, is when d = 0.

EMRS PGT Mathematics Mock Test - 2 - Question 12

Any point on the parabola whose focus is (0,1) and the directrix is x + 2 = 0 is given by

Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 12

f(0,1),d(x+2=0)
Distance of any point on parabola and focus is equal to distance of point and directrix.
fP=(h−0)2+(k−1)2= (h2+k2+1−2k)1/2
Distance of point (h,k) and line x+2=0
Using point line distance formula.
dP=h+2
[h2+k2+1−2k]1/2=h+2
h2+k2+1−2k = h2+4+4h
k2−2k+1−4−4h=0
replacing h→x,k→y  y2−2y+1−4−4x=0
(y−1)2=4(x+1)     …(1)
Let Y=y−1,X=x+1 then (1) becomes 
Y^2=4aX2
Here a=1 any point on this parabola will be of the form (at2,2at)=(t2,2at)
⇒X=t2 ⇒x+1=t2
⇒x=t2−1
⇒Y2=2t
⇒y−1 = 2t ⇒ y = 2t+1
∴ Any point on the parabola (y−1)2=4(x+1) is 
= (t2−1,2t+1)

EMRS PGT Mathematics Mock Test - 2 - Question 13

If A and B are two sets, then A ∩ (B − A) is:

Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 13

A ∩ (B − A) = ψ,[∵ x ∈ B − A ⇒ x∉ A]

EMRS PGT Mathematics Mock Test - 2 - Question 14

The distance of a point whose position vector is  from the plane

Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 14

The distance of a point whose position vector is  from the plane  given by :

EMRS PGT Mathematics Mock Test - 2 - Question 15

Domain of f (x) 

Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 15

Domain of sin -1x is [-1,1]

EMRS PGT Mathematics Mock Test - 2 - Question 16

The equation of line of intersection of the planes x + 2y + z = 3 and 6x + 8y + 3z = 13 can be written as

Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 16

Let the d.r’s of a required line be a, b and c. Since, the normal to the given planes x + 2y + z = 3 and 6x + 8y + 3z = 13 are perpendicular to the line.
∴ a +2b+c = 0 and 6a + 8b + 3c = 0
⇒ 
⇒ 
or 
Also, line passes through (2, -1, 3).

EMRS PGT Mathematics Mock Test - 2 - Question 17

A relation R from C to R is defined by x Ry iff |x| = y. Which of the following is correct?

Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 17

EMRS PGT Mathematics Mock Test - 2 - Question 18

The combined equation to two parabolas, both have their axis along x-axis, is given by y4 - y2 (4x + 4 - 2 sin22α) + sin22α (4x + 4x + sin2 2α) = 0. The locus of the point of intersection of tangents, one to each of the parabolas, when they include an angle of 90° 
is

Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 18

The parabolas are y2 = 4sin2 α(x + sin2α) and y2 = 4cos2 α(x + cos2α), hence the locus is x + cos2α + sin2α = 0 ⇒ x + 1 = 0
Assume the point   as origin and line joining it to the centre as x-axis, the equation to the circle becomes x2 + y2 - 2x = 0, center is A1 (1, 0) and the second circle has the equation x2 + y2 - 2√2 = 0 center A0 (0, √2)
Similarly A3(-2, 0), A4 (0, -2√2) etc.  

EMRS PGT Mathematics Mock Test - 2 - Question 19

If the value of   , then the value of

Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 19

If you interchange (switch) two rows (or columns) of a matrix A to get B, then det(B) = –det(A). Hence, the determinant is -(-7)

= 7

EMRS PGT Mathematics Mock Test - 2 - Question 20

If distance between the directrices be thrice the distance between the foci, then eccentricity of ellipse is

Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 20

Distance between the directrices is 2a/e
Distance between the foci is 2ae
Given: 2a/e = 3∗2ae
Or,e2 = 1/3
∴ e=1/√3

EMRS PGT Mathematics Mock Test - 2 - Question 21

Sum of the series S = 12 – 22 + 32 – 42 + ..... – 20022 + 20032 is

Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 21

S=12−22+32−42+......−20022+20032

EMRS PGT Mathematics Mock Test - 2 - Question 22

In lower classes, play-way method of teaching is based on:

Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 22

In lower classes, the play-way method of teaching is based on Psychological principles of development and growth. Psychology is something arising in a mind or is related to the mental or emotional state of a person.
So, Play-way methods are such that can affect the cognitive or mental development of the children. They start perceiving, thinking and gains understanding.
Hence, the correct answer is, 'Psychological principles of development and growth.'

EMRS PGT Mathematics Mock Test - 2 - Question 23

Which of the following is a socialization agency?

Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 23

Socialization is an important process for the functioning and continuation of society. It is a process of learning the rules, habits, and values of a group to which a person belongs whether it is family, friends, colleagues, or any other group.

EMRS PGT Mathematics Mock Test - 2 - Question 24

A bag contains 5 brown and 4 white socks. A man pulls out 2 socks. The probability that they are of the same colour is:

Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 24

n(S) = Total number of ways of pulling out socks

Let E be the event that they are of the same colour i.e. either both brown or both white.

EMRS PGT Mathematics Mock Test - 2 - Question 25

The following sentence has been broken into four parts with an error in one part. Identify that part and mark it as your answer. If there are no errors in any of the given parts, mark option 4 or ‘No error’ as your answer.

Q. No news of firing (1)/ along the border (2)/ have been heard of. (3)/ No error (4).​

Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 25

"News" is always used in the singular form. Hence, it requires a singular supporting verb.
Correct Sentence- No news of firing along the border has been heard of.

EMRS PGT Mathematics Mock Test - 2 - Question 26

The question below consists of a set of labeled sentences. Out of the four options given, select the most logical order of the sentences to form a coherent paragraph.
P: They also went for dinner to an Italian restaurant after the movie.
Q: The bond between them still had been the same though.
R: They had been away for some time and were meeting after a gap.
S: The boys went out for a movie on Friday night.

Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 26

The passage says that the group of boys went out for a movie on Friday night. They were catching up after a long time. The friendship they had seemed to remain intact though. After going to the movie, the boys went for dinner too.
This sequence of events is shown only by option 3. Hence, it is the correct answer.

EMRS PGT Mathematics Mock Test - 2 - Question 27
निम्नलिखित में से एक 'दूध' का पर्यायवाची शब्द है
Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 27

पीयूष शब्द दूध का पर्यायवाची है।

Key Points

पीयूष

  • पुल्लिंग
    • अमृत, सुधा।

दूध का पर्यायवाची शब्द-

  • दुग्ध, गोरस, क्षीर, दोहज, पय, पीयूष, स्तन्य।
Additional Information

पीयूष के पर्यायवाची-

  • अमिय, अमी, अमृत, सुधा, सोम
  • आबेहयात, देवान्न, देवाहार, जीवनोदक।

जल के पर्यायवाची-

  • वारि, पानी, नीर, सलिल, तोय, उदक
  • अंबु, जीवन, पय, अमृत, मेघपुष्प।

घृत का पर्यायवाची-

  • घी, अमृत, नवनीत।

हलाहल का पर्यायवाची

  • गरल, कालकूट, माहुर, विष, जहर
EMRS PGT Mathematics Mock Test - 2 - Question 28
निम्नलिखित में 'पृथ्वी' का पर्यायवाची शब्द नहीं है-
Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 28

सही उत्तर है - ‘अचल’।

  • पृथ्वी का पर्यायवाची शब्द अचल नहीं होगा।
  • अन्य विकल्प इला, अचला और अवनि पृथ्वी के पर्यायवाची शब्द है।

Key Points

  • पृथ्वी के अन्य पर्यायवाची शब्द : महि, मेदिनी, धरा, रसा, वसुन्धरा, विकेशी, क्षमा, धरती, धरणी आदि।​
  • अचल के पर्यायवाची शब्द : भूधर, महीधर, नगपति, शिखर, अद्री, तुंग, धरणीधर, पर्वत, पहाड़, गिरी आदि।

Additional Informationसमानार्थी शब्द:

  • वे शब्द जिनका अर्थ एक समान होता हैं समानार्थी शब्द कहलाते हैं।
    समानर्थी शब्द को हम पर्यायवाची शब्द भी कहते है। ‘पर्याय’ का अर्थ है ‘समान’ तथा ‘वाची’ का अर्थ है ‘बोले जाने वाले’ अर्थात
    समान बोले जाने वाले शब्दों को हम पर्यायवाची शब्द या समानार्थी शब्द कहते है।

पर्यायवाची शब्द के उदाहरण :

  • पत्नी- भार्या, दारा, अर्धांगनी, वामा, गृहिणी, बहू, वधू, कलत्र, प्राणप्रिया।
  • दोस्त- बन्धु, मित्र, साथी, यार, सखा, हितैषी, अंतरंग।
  • बसंत- ऋतुराज, ऋतुपति ,मधुमास ,कुसुमाकर।
EMRS PGT Mathematics Mock Test - 2 - Question 29
‘मत्स्य’ का पर्यायवाची है-
Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 29
सही विकल्प मीन है।
  • 'मत्स्य' का पर्यायवाची है - मीन
  • मत्स्य शब्द के अन्य पर्यायवाची शब्द - जलजीवन, शफरी, मकर, मछली
Key Points
अन्य विकल्प-

Additional Informationपर्यायवाची शब्द के अन्य उदाहरण -

EMRS PGT Mathematics Mock Test - 2 - Question 30
मैना का पर्यायवाची नही है:
Detailed Solution for EMRS PGT Mathematics Mock Test - 2 - Question 30
मैना का पर्यायवाची 'मुनि' नही होता है
Key Points
  • मुनि के पर्यायवाची शब्द - साधू, संत, मनीषी, महात्मा, ऋषि।
  • मैना के पर्यायवाची - सारी, सारिका, त्रिलोचना, मधुरालाषा, कलहप्रिया।

Additional Information

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