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EMRS PGT Mathematics Mock Test - 9 - EMRS MCQ


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30 Questions MCQ Test EMRS PGT Mock Test Series 2025 - EMRS PGT Mathematics Mock Test - 9

EMRS PGT Mathematics Mock Test - 9 for EMRS 2025 is part of EMRS PGT Mock Test Series 2025 preparation. The EMRS PGT Mathematics Mock Test - 9 questions and answers have been prepared according to the EMRS exam syllabus.The EMRS PGT Mathematics Mock Test - 9 MCQs are made for EMRS 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for EMRS PGT Mathematics Mock Test - 9 below.
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EMRS PGT Mathematics Mock Test - 9 - Question 1

Who led the company's army against Siraj-ud-daulah at Plassey?

Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 1

The correct answer is Robert Clive.

Key Points

When Alivardi Khan died in 1756, Sirajuddaulah became the nawab of Bengal.

  • The Company was worried about his power and keen on a puppet ruler who would willingly give trade concessions and other privileges.
  • So it tried, though without success, to help one of Sirajuddaulah’s rivals become the nawab.
  • An infuriated Sirajuddaulah asked the Company to stop meddling in the political affairs of his dominion, stop fortification, and pay the revenues.
  • After negotiations failed, the Nawab marched with 30,000 soldiers to the English factory at Kassimbazar, captured the Company officials, locked the warehouse, disarmed all Englishmen, and blockaded English ships.
  • Then he marched to Calcutta to establish control over the Company’s fort there.


Important Points

  • On hearing the news of the fall of Calcutta, Company officials in Madras sent forces under the command of Robert Clive, reinforced by naval fleets.
  • Prolonged negotiations with the Nawab followed.
  • Finally, in 1757, Robert Clive led the Company’s army against Sirajuddaulah at Plassey. 
  • The Battle of Plassey became famous because it was the first major victory the Company won in India.


Thus, it is clear that Robert Clive led the company's army against Sirajudallah at Plassey.

Additional Information

  • James Mill was a famous economist and political philosopher from Scotland.
  • The Permanent Settlement of Bengal was brought into effect by the East India Company headed by Governor-General Lord Cornwallis in 1793.
  • Lord Dalhousie devised a policy that came to be known as the Doctrine of Lapse.
EMRS PGT Mathematics Mock Test - 9 - Question 2

Name a single word that can be prefixed to the following words to form new words.

Interpret, Behave, Understand, Take

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

The word that can be prefixed to make the following new words is ‘Mis’.

Mis + Interpret = Misinterpret

Mis + Behave = Misbehave

Mis + Understand = Misunderstand

Mis + Take = Mistake

Hence, the correct answer is ‘Mis’.
EMRS PGT Mathematics Mock Test - 9 - Question 3

Find the speed of current if a man takes 8 hours each to row 24 km in upstream and 40 km in downstream.

Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 3

Given:

Man rows 24 km in upstream and 40 km in downstream and takes 8 hours in each

Formula used:

Speed = Distance/Time

y = ½ (u - v); where, u is speed of rowing downstream, v is speed of rowing upstream and y is speed of stream

Calculation:

Downstream speed = u = 40/8 = 5 kmph

Upstream speed = v = 24/8 = 3 kmph

Thus, speed of current/stream = y = ½ (u - v) = ½ (5 - 3) = 1 kmph 
EMRS PGT Mathematics Mock Test - 9 - Question 4

Sandhya is sister of Praveena. How is Praveena’s father’s sister’s mother related to Sandhya?

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

Preparing the family tree using the following symbols:

A possible tree diagram will be:

Praveena’s father’s sister’s mother is the grandmother of Sandhya.

Hence, "Grandmother" is the correct answer.

EMRS PGT Mathematics Mock Test - 9 - Question 5

If ROSE is coded as 6821, CHAIR is coded as 73456 and PREACH is coded as 961473, then what will be the code for SEARCH?

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

The logic followed is:

ROSE is coded as 6821

CHAIR is coded as 73456

PREACH is coded as 961473

Therefore SEARCH will be written as

Hence, the correct answer is "214673".

EMRS PGT Mathematics Mock Test - 9 - Question 6
To qualify in Hockey and Football, minimum age required is 13 years and 15 years respectively, minimum weight required is 50 kgs and 56 kgs respectively, and maximum height allowed is 160 cms and 165 cms respectively. Vasudha is 13 years old, has a weight of 48 kgs, and has a height of 161 cms. For which of these games is she eligible?  
Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 6

The logic follows here is:

Now,

Vasudha is 13 years old, has a weight of 48 kgs and a height of 161 cms.

It is clearly mentioned in the criteria of Hockey and Football about the weight of the candidate. Vasudha has a weight of 48 kgs which is less than the criteria set for both games. Therefore, Vasudha neither qualifies for Hockey nor for Football.

Hence, the correct answer is "Neither Hockey nor Football".

EMRS PGT Mathematics Mock Test - 9 - Question 7

A, B, C, D, E and F are sitting on a row facing the South direction, but not necessarily in the same order. E is sitting immediate left to the B. A is sitting fourth right to the B. F is sitting between A and D. Who is sitting immediate left to the D?

Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 7

Persons: A, B, C, D, E and F

1) E is sitting immediate left to the B.

2) A is sitting fourth right to the B.

3) F is sitting between A and D.

4) Final Sitting arrangement.

Hence, “C” is sitting immediate left to the D.

EMRS PGT Mathematics Mock Test - 9 - Question 8

Which of these is a method of evaluating the delivery of a course through the gathering of feedback from the learner on the level of the knowledge they acquired after the completion of the instruction?

Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 8

A knowledge survey is a method of evaluating the delivery of a course through the gathering of feedback from the learner on the level of the knowledge they acquired after the completion of the instruction. It usually consists of questions that cover the content of the course. The surveys evaluate student learning and content mastery at all levels: from basic knowledge and comprehension through higher levels of thinking. Knowledge surveys can serve as both formative and summative assessment tools.

EMRS PGT Mathematics Mock Test - 9 - Question 9

Mrs Laghate efficiently evaluates her students, both individually and in groups, at the same time. The assessment tool she uses is

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

Observation is an assessment tool which helps in evaluating student, both individually and in a group. It also helps teacher in understanding the students and making adjustment in the learning methods accordingly.

EMRS PGT Mathematics Mock Test - 9 - Question 10

If f (x + y) = 2f (x) f (y) for all x, y ∈ R where f ' (0) = 3 and f (4) = 2, then f ' (4) is equal to

Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 10


EMRS PGT Mathematics Mock Test - 9 - Question 11

Minimum value of the function f(x) = x2+x+1 is

Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 11

EMRS PGT Mathematics Mock Test - 9 - Question 12

 if then 

Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 12

Even  function 

EMRS PGT Mathematics Mock Test - 9 - Question 13

Find the equation of a curve passing through the point (0, –2) given that at any point (x, y) on the curve, the product of the slope of its tangent and y coordinate of the point is equal to the x coordinate of the point.

Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 13


When x= 0 and y = - 2 ,we have : c = 2,

EMRS PGT Mathematics Mock Test - 9 - Question 14

If  then |α| is equal to : 

Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 14

α = |z/z¯|
z = x + iy
z¯ = x - iy
|α| = |z/z¯|
⇒ [(x2 + y2)1/2]/[[x2 + y2)1/2]
⇒ 1

EMRS PGT Mathematics Mock Test - 9 - Question 15

If one of the factor of x2 + x – 20 is (x + 5). Find the other

Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 15

EMRS PGT Mathematics Mock Test - 9 - Question 16

A set has 7 elements. The number of elements in its power set is:

Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 16

Number of elements in power set = 2= 128

EMRS PGT Mathematics Mock Test - 9 - Question 17

The unit vector in the direction of a given vector  

Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 17

 is called the unit vector of a given vector 

EMRS PGT Mathematics Mock Test - 9 - Question 18

If A and B matrices are of same order and A + B = B + A, this law is known as

Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 18

Commutative law, in mathematics, either of two laws relating to number operations of addition and multiplication, stated symbolically: a + b = b + a and ab = ba

EMRS PGT Mathematics Mock Test - 9 - Question 19

If A = {x : x = 2n, n ≤ 6, n ∈ N} and B = {x : x = 4n, n ≤ 2, n ∈ N}, then A – B is

Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 19

A = {x : x = 2n, n ≤ 6}
For (n = 1,2,3,4,5,6) {2,4,8,16,32,64}
B = {x : x = 4n, n ≤ 2}
For (n = 1,2) {4,8}
A - B = {2, 8, 32, 64}

EMRS PGT Mathematics Mock Test - 9 - Question 20

If A+B+C = π, then the value of   

Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 20



EMRS PGT Mathematics Mock Test - 9 - Question 21

The value of 1 + 1.1! + 2. 2! + 3.3! + …… + n. n! is

Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 21

n. n! = [(n + 1) – 1]n! = (n + 1)! – n!
∴ 1 + 2! – 1! + … + (n + 1)! – n! = (n + 1)!

EMRS PGT Mathematics Mock Test - 9 - Question 22

Let a, b ∈ R and a < b, then [a, b] implies:

Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 22

Square brackets [a, b] implies that values of a and b should be included in the range of x i.e., a ≤ x ≤ b.

EMRS PGT Mathematics Mock Test - 9 - Question 23

Find if for a unit vector 

Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 23

EMRS PGT Mathematics Mock Test - 9 - Question 24
According to NEP 2020, what is the full form of ECCE?
Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 24

The National Education Policy 2020 proposed various reforms in school education as well as higher education including technical education that has to be adopted by all educational institutions.

Key Points The ECCE program needs to be determined by children’s developmental and contextual needs, providing for more need-based inputs and an enabling environment.

  • Ensuring quality ECCE - early childhood care and education for all children between 3-6 years.
  • It was believed that a common ‘curriculum’ would not be appropriate for all.
  • It comprises details of the goals for different domains of development, i.e. physical, language, cognitive, socio-emotional, creative, and aesthetic appreciation, to be fostered to ensure holistic development of children under six years.

Hence we can say that the full form of ECCE is Early Childhood Care and Education.

Additional Information Other reforms of NEP 2020 include -

  • Equitable and inclusive education - Special emphasis is given to Socially and Economically Disadvantaged  Groups (SDGs).
  • Ensuring Universal Access at All Levels of schooling from pre-primary school to Grade 12.
  • New Curricular and Pedagogical Structure (5+3+3+4).
  • Setting up of State School Standards Authority (SSSA).
EMRS PGT Mathematics Mock Test - 9 - Question 25

Which of the following tools/methods does National Education Policy 2020 propose for assessment of children?

(i) Role plays

(ii) Group work

(iii) Portfolios

(iv) Projects

Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 25

Education Policy lays particular emphasis on the development of the creative potential of each individual. It is based on the principle that education must develop not only cognitive capacities - both the ‘foundational capacities ’of literacy and numeracy and ‘higher-order’ cognitive capacities, such as critical thinking and problem solving – but also social, ethical, and emotional capacities and dispositions.

National Education Policy 2020-

According to NEP 2020, A good educational institution is one in which every student feels welcomed and cared for, where a safe and stimulating learning environment exists, where a wide range of learning experiences are offered, and where good physical infrastructure and appropriate resources conducive to learning are available to all students.

Key Points Some important fundamental principles of the NEP 2020 are- 

  • Establishment of the linkage of the concepts with the environment or we can say that the linkage of the school with the home.
  • It includes the overall development of the leader, it covers all three aspects as Cognitive domain, affective domain, and psychomotor domain.
  • It will include Progress of the Child in Inquiry-Based Learning, Quiz, Projects Roleplay, Group Work, Portfolios, etc, as part of the assessment of the students.
  • Promoting self-assessment and the peer assessment done by the student in the classroom.
  • Making board examination low stake and less stressful by focusing on Logic and Core Competencies
  • It emphasizes group work as well as individual work, NEP 2020 links the study to the curriculum.
  • Hence we conclude that all the objectives given in the question are correct for the assessment of the student.

Important Points  There are many changes in the assessment of the child, proposed in NEP 2020:

  • Continuous Tracking Of Learning Outcome Of Each Child.
  • Board Examinations to be made more flexible with an assessment of essential skills.
  • Assessment to focus on core concepts, higher-order, and foundational skills 
  • AI-based soft wares to help track the progress of students to enable them to make optimal career choices.
  • National Assessment Centre (PARAKH) will bring greater synergy to board examinations.
  • Self Assessment & Peer Assessment.
  • National Testing Agency (NTA) will work to offer a Common Aptitude Test of high quality to eliminate the need for coaching for these exams. 
EMRS PGT Mathematics Mock Test - 9 - Question 26

In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/Phrase.
Q. Back to square one

Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 26

The given idiom means 'to go back to the starting point of something'. For example, '​The Government and the State Bank spent years strengthening the nation’s economy but the recession and slowdown shattered it, so we are back to square one.'

EMRS PGT Mathematics Mock Test - 9 - Question 27

In the following question, a sentence has been given in Active/Passive voice. Out of four alternatives suggested, select the one which best expresses the same sentence in Passive/Active voice.

Q. Why are they laughing at you?

Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 27

The given sentence is in the active voice. The correct conversion to passive voice is given in option 2. Options 1 and 4 change the meaning of the given sentence and option 3 gives an incomplete conversion. 

EMRS PGT Mathematics Mock Test - 9 - Question 28
राधा का भाई आने वाला है' - वाक्य है:
Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 28

राधा का भाई आने वाला है। ये विधानवाचक वाक्य है।

  • राधा का भाई आने वाला है - विधानवाचक वाक्य
  • विधानवाचक वाक्य - जिस वाक्य से किसी बात के होने का बोध होता है उसे विधानवाचक वाक्य कहते हैं।
    • वाक्य प्रयोग - निकित हमेशा आलस करती है।

Important Pointsअर्थ की दृष्टि से वाक्य के आठ भेद होते हैं -

EMRS PGT Mathematics Mock Test - 9 - Question 29
जहाँ गंगा, यमुना बहती है, वह देश उपजाऊ है। वाक्य है
Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 29

सही उत्तर मिश्र वाक्य है।

Key Points

  • जहाँ गंगा, यमुना बहती है, वह देश उपजाऊ है। मिश्र वाक्य है।
  • जिस वाक्य में एक प्रधान उपवाक्य तथा एक या एक से अधिक आश्रित उपवाक्य हों उसे मिश्र वाक्य कहते हैं।
  • मिश्र वाक्य के सभी उपवाक्य योजक शब्दों से प्रारंभ हों तो वाक्य का अंतिम उपवाक्य प्रधान उपवाक्य तथा शेष सभी उपवाक्य आश्रित उपवाक्य होंगे।
    • उदाहरण- मेरा दृढ़ विश्वास है कि भारत जीतेगा।
    • सफल वही होता है जो परिश्रम करता है।

Additional Information

EMRS PGT Mathematics Mock Test - 9 - Question 30

निम्नलिखित में कौन सा वाक्य संयुक्त वाक्य है?

Detailed Solution for EMRS PGT Mathematics Mock Test - 9 - Question 30

सही उत्तर गर्मी से पदार्थ फैलते हैं और ठंड से सिकुड़ते हैं। है।

Key Points

  • गर्मी से पदार्थ फैलते हैं और ठंड से सिकुड़ते हैं।- वाक्य संयुक्त वाक्य है।
  • उपरोक्त वाक्य में दो साधारण वाक्य समुच्चयबोधक शब्द (और) की सहायता से जुड़कर संयुक्त वाक्य बना रहे हैं।
  • संयुक्त वाक्य- जिस वाक्य में दो या दो से अधिक स्वतंत्र साधारण वाक्य या प्रधान उपवाक्य उपस्थित हों तो उस वाक्य को संयुक्त वाक्य कहते हैं।
  • उदाहरण- रमेश बीमार है इसलिए आज खेलने नहीं आया है।
  • संयुक्त वाक्य की पहचान- संयुक्त वाक्य की पहचान वाक्य में उपस्थित संयोजक, विभाजक, विरोधदर्शक या परिणामबोधक शब्दों से की जा सकती है तथा वाक्य में उपस्थित स्वतंत्र साधारण वाक्य या प्रधान उपवाक्य को देखकर भी की जा सकती है।

अन्य विकल्प-

  • जहाँ अभी समुद्र है, वहाँ कभी जंगल था।- मिश्र वाक्य है, यह वाक्य जहाँ- वहाँ से मिलकर बना हुआ है, अतः यह मिश्र वाक्य का उदाहरण है।
  • बुरा न मानो तो एक बात कहूँ।- मिश्र वाक्य है, 'तो' संयोजक आने पर यह मिश्र वाक्य का उदाहरण है।
  • सभापति ने अपना भाषण पढ़ा।- सरल वाक्य है, इसमें एक उद्देश्य और एक विधेय है। (उद्देश्य - सभापति, विधेय- अपना भाषण पढ़ा।)

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