EMRS Exam  >  EMRS Tests  >  EMRS PGT Mock Test Series 2025  >  EMRS PGT Mathematics Mock Test - 3 - EMRS MCQ

EMRS PGT Mathematics Mock Test - 3 - EMRS MCQ


Test Description

30 Questions MCQ Test EMRS PGT Mock Test Series 2025 - EMRS PGT Mathematics Mock Test - 3

EMRS PGT Mathematics Mock Test - 3 for EMRS 2025 is part of EMRS PGT Mock Test Series 2025 preparation. The EMRS PGT Mathematics Mock Test - 3 questions and answers have been prepared according to the EMRS exam syllabus.The EMRS PGT Mathematics Mock Test - 3 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 - 3 below.
Solutions of EMRS PGT Mathematics Mock Test - 3 questions in English are available as part of our EMRS PGT Mock Test Series 2025 for EMRS & EMRS PGT Mathematics Mock Test - 3 solutions in Hindi for EMRS PGT Mock Test Series 2025 course. Download more important topics, notes, lectures and mock test series for EMRS Exam by signing up for free. Attempt EMRS PGT Mathematics Mock Test - 3 | 150 questions in 180 minutes | Mock test for EMRS preparation | Free important questions MCQ to study EMRS PGT Mock Test Series 2025 for EMRS Exam | Download free PDF with solutions
EMRS PGT Mathematics Mock Test - 3 - Question 1

Who determines the minimum support price in India?

Detailed Solution for EMRS PGT Mathematics Mock Test - 3 - Question 1

The correct answer is The Commission for Agricultural Costs and Prices.

  • Based on the recommendations of the Commission for Agricultural Costs and Prices, the Department of Agriculture and Co-operation, Government of India, declares Minimum Support Prices (MSP) for 22 crops before their sowing seasons.

Key Points

  • The CACP is an attached office of the Ministry of Agriculture and Farmers Welfare, formed in 1965.
  • It is a statutory body that offers separate reports recommending prices for Kharif and Rabi seasons.

Additional Information

  • Cost of farming at three levels:
    • A2: All the types of cash expenditure to create the crop like seeds, manure, chemicals, labour costs, fuel costs and irrigation costs.
    • A2+FL: It includes A2 plus an imputed value of unpaid family labour.
    • C2: Under C2, the estimated land rent and the cost of interest on the money taken for farming are added to A2 and FL.
  • On 18th November 2004, the Union government formed the National Commission on Farmers (NCF) with MS Swaminathan as its chairman.
  • The main purpose of the committee was to come up with a sustainable farming system, make farm commodities cost-competitive and more profitable.
EMRS PGT Mathematics Mock Test - 3 - Question 2

How many main organs are there in United Nations Organization?

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

The correct answer is Six.

Key Points

​Therefore, The United Nation have Six organ body. 

Important Points

  • ​The United Nations is an intergovernmental organization.
  • The stated purposes are to maintain international peace and security, develop friendly relations among nations, and achieve international cooperation.
  • The United Nations (UN) main organs are— the General Assembly, the Security Council, the Economic and Social Council, the Trusteeship Council and the Secretariat, and the International Court of Justice.
    • Founded: 24 October 1945
    • Headquarters: New York, New York, United States
    • Secretary general: António Guterres
EMRS PGT Mathematics Mock Test - 3 - Question 3

What is the foundation of any democracy?

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

The Rule of Law is the essential foundation of democracy. 

  • The Constitution says that the government shall not deny to any person in India equality before the law or the equal protection of the laws.
  • It means that the laws apply in the same manner to all, regardless of a person’s status. This is called the rule of law.
  • Rule of law is the foundation of any democracy. It means that no person is above the law.
  • There cannot be any distinction between a political leader, government official and an ordinary citizen.
  • Every citizen, from the Prime Minister to a small farmer in a remote village, is subjected to the same laws.
  • No person can legally claim any special treatment or privilege just because he or she happens to be an important person. 
    • For example, a few years ago a former Prime Minister of the country faced a court case on charges of cheating.
    • The court finally declared that he was not guilty. But as long as the case continued, he had to go to the court, give evidence and file papers, just like any other citizen.
EMRS PGT Mathematics Mock Test - 3 - Question 4

The process of converting ammonia into nitrates is called:

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

The correct answer is Nitrification.

Key Points

  • The process of conversion of ammonia into nitrate nitrogen is called nitrification.
  • It is done in two steps- Nitrite formation, Nitrate formation.
  • Nitrite formationAmmonia are oxidized to nitrites by Nitrococcus, Nitrosomonas.

Additional Information

  • The nitrogen cycle has four steps-
    • Nitrogen Fixation- Conversion of molecular nitrogen into the inorganic nitrogenous compound.
    • Ammonification- Conversion of the dead organic nitrogenous compound into ammonia.
    • Nitrification- Oxidation of ammonia into nitrates.
    • Denitrification- Nitrites or nitrates converts back into molecular nitrogen.

EMRS PGT Mathematics Mock Test - 3 - Question 5

Select the correct option that indicates the arrangement of the following instruments and actions in a logical and meaningful order.

1. Lieutenant General

2. Brigadier

3. Colonel

4. Lieutenant

5. Field Marshal

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

The correct order of the ranks in the Indian Defence Forces in ascending order is:

4. Lieutenant

3. Colonel

2. Brigadier

1. Lieutenant General

5. Field Marshal

Hence, the correct answer is 4, 3, 2, 1, 5.

Additional Information 

The top three ranks of the Indian Defence forces are as follows : 

EMRS PGT Mathematics Mock Test - 3 - Question 6

Rakul has completed Electrical Engineering with 69.5% marks. He has also passed the written exam with 59% marks. His age has become 22 years as on April 2018. He is ready to deposit Rs 2.5 lakh as security. For which position will he be recommended?

Detailed Solution for EMRS PGT Mathematics Mock Test - 3 - Question 6

All conditions are as follows;

 

Rakul doesn't fulfill the necessary conditions for any post.

Thus he is not eligible for any post.

Hence, the correct answer is "Option 2".

EMRS PGT Mathematics Mock Test - 3 - Question 7

The position of how many digits in the number 5934162 will remain unchanged after the digits are arranged in descending order within the number?

Detailed Solution for EMRS PGT Mathematics Mock Test - 3 - Question 7

Given number: 

5934162

New number after digits are arranged in descending order:

9654321

Thus we can see only position of one digit is remain unchanged.

Hence, the correct answer is "One".

EMRS PGT Mathematics Mock Test - 3 - Question 8

Which answer figure will complete the pattern in the question figure?

Detailed Solution for EMRS PGT Mathematics Mock Test - 3 - Question 8

EMRS PGT Mathematics Mock Test - 3 - Question 9

In the following question, assuming the given statements to be true, find which of the conclusion among given conclusions is/are definitely true and then give your answer accordingly.

Statement: P < Q < R < S = T

Conclusion:

I. Q < T

II. P > S

III. R = T

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

Given Statement: P < Q < R < S = T

Conclusion:

I. Q < T → True (As, Q < R < S = T → Thus, it is clear that Q < T. So, the conclusion is true)

II. P > S → False (As, P < Q < R < S → Thus, it is clear that P < S. So, the conclusion is false)

III. R = T → False (As, R < S = T → Thus, it is clear that R < T. So, the conclusion is false)

Hence, the correct answer is "Only conclusion I follows".

EMRS PGT Mathematics Mock Test - 3 - Question 10

Identify the odd one out of the following -

Detailed Solution for EMRS PGT Mathematics Mock Test - 3 - Question 10

The logic followed here is:

  • In each figure A, B, and C, the image is divided into two equal parts and one of the parts is shaded whereas, in figure D more than half of the figure is shaded. 

Hence, figure D is the odd one out of the given figures. 

EMRS PGT Mathematics Mock Test - 3 - Question 11

How many triangle in figure?

Detailed Solution for EMRS PGT Mathematics Mock Test - 3 - Question 11

In the given figure, we can identify multiple triangles. By counting the individual triangles, we can determine that there are a total of 12 triangles in the figure.

EMRS PGT Mathematics Mock Test - 3 - Question 12

Given options are the backdrop of ICT except one. Choose-

Detailed Solution for EMRS PGT Mathematics Mock Test - 3 - Question 12

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 Points

Disadvantages of ICT:

  • Not accessible everywhere- The majority of people may not be able to afford the handsets, mobile time, or data packages required to utilize mobile internet, even if they live in an area with service. And even when people can afford technology and connections, it can not be accessible due to language barriers, a lack of digital literacy, or other issues. 
  • Impact on children- Social media have good and bad information. Children may tempt to open bad information. It may open up doors for the exploitation and abuse of children through the usage of ICTs. Since parental supervision and monitoring are limited, children can readily interact with strangers and exchange enormous data files.
  • Risk of privacy- Information technology may have accelerated, sped up, and enhanced communication, but it has also raised privacy issues. Individuals are becoming more anxious that e-mail hacking and mobile phone signal surveillance could cause their formerly private information to become public knowledge. Aside from these problems, a few other hazards that could affect our daily lives include computer worms, trojan horses, malware, spam, and phishing.

Hence, we conclude that all the options are the backdrop of ICT except that "it is not very useful to children with special needs as technology is not very developed".

Hint

  • Information and communication technologies (ICT), when made accessible and available, enable children with special needs to fully and effectively engage, on an equal basis, in all facets of society and development.
EMRS PGT Mathematics Mock Test - 3 - Question 13

If the teacher realises that most of the students in her class are weak in studies, she should

Detailed Solution for EMRS PGT Mathematics Mock Test - 3 - Question 13

She should keep her pace of teaching slow, while paying extra attention towards the weaker students. It will be beneficial to both weak and intelligent students, and will not cause lack of interest in bright students too.

EMRS PGT Mathematics Mock Test - 3 - Question 14

In an experiment conducted on a hungry chimpanzee, some bananas were kept outside its cage, but beyond its reach. Some sticks were also kept in its cage. After several unsuccessful attempts to reach out to the bananas, the chimpanzee pondered over the problem. Then, he picked up a stick and pulled the bananas towards itself. In this case, learning took place by

Detailed Solution for EMRS PGT Mathematics Mock Test - 3 - Question 14

Animals solve problems by understanding – like human beings, instead of going through either the trial and error process or stimulus response association. In this case, learning took place by insight. Learning by insight involves finding a solution to the problem by thinking over the problem and understanding the various aspects of the problematic situation.
Insight learning refers to the sudden realisation of the solution of any problem without repeated trials or continuous practices. To further elaborate on its definition, insight learning is the type of learning in which one draws on previous experience and also seems to involve a new way of perceiving logical and cause-and-effect relationship.

EMRS PGT Mathematics Mock Test - 3 - Question 15

The number of real solution of the equation (9/10)x = -3 + x - x2 is 

Detailed Solution for EMRS PGT Mathematics Mock Test - 3 - Question 15

LHS always positive RHS always negative LHS ≠ RHS

EMRS PGT Mathematics Mock Test - 3 - Question 16

In a triangle ABC, if angle A = 72°, angle B = 48° and c = 9 cm then the Ĉ is

Detailed Solution for EMRS PGT Mathematics Mock Test - 3 - Question 16

In any traingle The sum of 3 sides of a traingle is equal to 180°

Given 

A=72°

B=48°

A+B+C=180°

72°+48°+C=180°

C=180°-120°

C=60°

EMRS PGT Mathematics Mock Test - 3 - Question 17

Detailed Solution for EMRS PGT Mathematics Mock Test - 3 - Question 17

EMRS PGT Mathematics Mock Test - 3 - Question 18

How many numbers are there between 100 and 1000, in which all the digits are distinct?

Detailed Solution for EMRS PGT Mathematics Mock Test - 3 - Question 18

We know that a number between 100 and 1000 has three digits. 
So we have to find all the three digit numbers with distinct digits.

We cannot have 0 at the hundred’s place for 3-digit number.  So the hundred’s place can be filled with any of the 9 digits.  1,2,3,…..9.  So, there are 9 ways of filling the hundred’s place.

Now, 9 digits are left including 0.  So ten’s place can be filled with any of the remaining 9 digits in 9 was.  Now the unit’s place can be filled with any of the remaining 8 digits.  So, there are 8 ways of filling the unit’s place.

Hence, the total number of required numbers = 9 x 9 x 8= 648.

EMRS PGT Mathematics Mock Test - 3 - Question 19

If f (x) is a function such that f (x + y) = f (x) f (y) and f (3) = 125 then f (x) =

Detailed Solution for EMRS PGT Mathematics Mock Test - 3 - Question 19

f(x+y) + f(x) + f(y) ⇒ f(x) = ax.f(3)
= 125 ⇒ a3 = 125 ⇒ a = 5.
∴ f (x) = 5x

EMRS PGT Mathematics Mock Test - 3 - Question 20

If –1 < a, b, c < 1 and a, b, c are in A.P. and  then x, y, z are in

Detailed Solution for EMRS PGT Mathematics Mock Test - 3 - Question 20

EMRS PGT Mathematics Mock Test - 3 - Question 21

If= {a, b}, B = {c, d}, C = {d, e}, then {(a, c),(a, d),(a, e),(b, c),(b, d),(b, e)} is equal to

Detailed Solution for EMRS PGT Mathematics Mock Test - 3 - Question 21

A+2B=7------(1)
3A+2B=9------(2)
Subtracting (2) from (1)
we get, 2A=2
A=1
Subsitute A=1 in (1)
1+2B=7
2B=6
B=3
therefore A = 1, B = 3
 

EMRS PGT Mathematics Mock Test - 3 - Question 22

Detailed Solution for EMRS PGT Mathematics Mock Test - 3 - Question 22

Consider the given function:
c1/c0 + 2c2/c1 +  3c3/c2 + 4c4/c3 +......+ncn/cn−1
= n/1 + [2n(n−1)]/2! . 1/n + [3n(n−1)(n−2)]/3! . 1/[n(n−1)/2!] +......+n.1/n
= n+(n−1)+(n−2)+......1
 = 1+2+3+......+n
 = n(n+1)/2

EMRS PGT Mathematics Mock Test - 3 - Question 23

The locus of mid–point of family of chords λx + y - 5 = 0 (parameter) of the parabola x2 = 20y is

Detailed Solution for EMRS PGT Mathematics Mock Test - 3 - Question 23

λx + y - 5 = 0 is the focal chord
Since it passes through (0, 5)
Let h, k be the mid point of all such chord h = 5(t1 + t2), 
 
On eliminating t1, t2
x2 = 10 (y - 5). 

EMRS PGT Mathematics Mock Test - 3 - Question 24

Detailed Solution for EMRS PGT Mathematics Mock Test - 3 - Question 24

EMRS PGT Mathematics Mock Test - 3 - Question 25

According to the NEP (2020)-

Detailed Solution for EMRS PGT Mathematics Mock Test - 3 - Question 25

Indian education structure and management were guided by New Education Policy, of 1986 for a long time (almost 34 years). In the meantime, a lot of changes have taken place globally as well as a debate has also emerged in India about a ‘Bharat-centric’ policy on education.

  • In order to look into those, a new committee was set up under the chairmanship of Dr. K. Kasturirangan in June 2017. After reviewing the suggestions, the committee finalized the policy under the name National Education Policy, 2020 on July 29, 2020. 

Key Points

Major recommendations of the policy were -

  • The aim of equity and inclusion is now at the heart of the new NEP so the classroom should be inclusive.
  • Ensuring universal access at all levels of schooling from pre-primary school to Grade 12.
  • Ensuring quality early childhood care and education for all children between 3-6 years.
  • New Curricular and Pedagogical Structure (5+3+3+4)including foundational, preparatory, middle, and secondary.
  • Establishing National Mission on Foundational Literacy and Numeracy.
  • Emphasis on promoting multilingualism and Indian languages. 
  • Exposure to vocational education in school and higher education system.
  • Focus on Formative and Diagnostic Assessment.
  • Setting up multidisciplinary education and research universities(MERUs).
  • Setting up of National Research Foundation(NRF).
  • Multidisciplinary approach and focus on creative and divergent thinking.
  • Experiential learning using previous knowledge and experiences.
  • Teacher Education - 4-year integrated stage-specific, subject-specific Bachelor of Education.

Hence, it is concluded that all the above options are correct.

EMRS PGT Mathematics Mock Test - 3 - Question 26

In the following question, an idiomatic expression and its four possible meanings are given. Find out the correct meaning of the idiom.

Q. A house divided against itself cannot stand.

Detailed Solution for EMRS PGT Mathematics Mock Test - 3 - Question 26

'A house divided against itself cannot stand' means if there is no unity within an organization or group nothing can be achieved.

Option 3 states this meaning and is the correct option. All other options imply other ideas.

Example- The management never made peace with the players, hence there was complete chaos, and the team eventually lost. Truly a house divided against itself cannot stand in the long run.

EMRS PGT Mathematics Mock Test - 3 - Question 27

The following questions consist of a single sentence with one blank only. You are given four words as answer choice and from the four choices, you have to pick up one correct answer, which will make the sentence meaningfully complete.

Q. Some ancient tribes still believe in evil spirits and the vagueness and _________ of after-life.

Detailed Solution for EMRS PGT Mathematics Mock Test - 3 - Question 27

The sentence indicates that the tribes believe in the 'vagueness' i.e the uncertainty of the after-life. Out of the given options, only 'obscurity' means unclear, uncertain or mysterious. The other options, 'totality', 'tenacity', 'severity' and 'lucidity' mean 'wholeness', 'persistence', 'seriousness' and 'clarity'. Hence, the correct answer is 2.

EMRS PGT Mathematics Mock Test - 3 - Question 28

Directions: Improve the bracketed part of the sentence. 

Q. No other Indian was a (great) orator than Sir Surendranath. 

Detailed Solution for EMRS PGT Mathematics Mock Test - 3 - Question 28

In the sentence, we are being told that Sir Surendranath is the greatest Indian orator. The given sentence expresses this in comparative degree. Therefore, the correct answer is 'greater'. 

EMRS PGT Mathematics Mock Test - 3 - Question 29
निम्नलिखित में से 'एतन्मुरारी' के सही सन्धि विच्छेद का चयन कीजिये।
Detailed Solution for EMRS PGT Mathematics Mock Test - 3 - Question 29

दिए गए विकल्पों में से विकल्प 1 'एतत् + मुरारी' सही सन्धि विच्छेद है।

Key Points

  • एतत् + मुरारी = एतन्मुरारी
  • एतन्मुरारी में व्यंजन संधि है
  • नियम - त् का न में परिवर्तन
  • अन्य विकल्प त्रुटिपूर्ण है

Additional Information

  • जब दो वर्गों में सन्धि होती है। यदि इन दो वर्गों में से पहला वर्ण व्यञ्जन हो और दूसरा वर्ण व्यञ्जन या स्वर हो तो उससे जो विकार उत्पन्न होता है, उसे व्यञ्जन सन्धि कहते हैं। व्यञ्जन सन्धि को संस्कृत में 'हल सन्धि' कहते हैं।
  • नियम - यदि किसी वर्ग के प्रथम वर्ण के बाद कोई अनुनासिक वर्ण हो तो प्रथम वर्ण के बदले उसी वर्ग का अनुनासिक वर्ण हो जाता है।
  • उदाहरण -
  • वाक् + मात्र = वाङ्मात्र; जगत् + नाथ = जगन्नाथ
  • अप् + मय = अम्मय; षट् + मास = षण्मास
  • दिक् + मण्डल = दिमण्डल; वाक् + मय = वाङ्मय
  • एतत् + मुरारी = एतन्मुरारी; चित् + मय = चिन्मय
EMRS PGT Mathematics Mock Test - 3 - Question 30
इनमें से कौन सा संधि शब्द सही नहीं है?
Detailed Solution for EMRS PGT Mathematics Mock Test - 3 - Question 30

सही उत्तर 'तत् + जन्य = तद्जन्य' है।

  • 'तत् + जन्य = तद्जन्य' शब्द का संधि-विच्छेद सही नहीं है।
  • तत् + जन्य = तज्जन्य
  • 'तज्जन्य' शब्द में व्यंजन संधि है।

Key Points

अन्य विकल्पों का विश्लेषण

Additional Information

View more questions
8 docs|45 tests
Information about EMRS PGT Mathematics Mock Test - 3 Page
In this test you can find the Exam questions for EMRS PGT Mathematics Mock Test - 3 solved & explained in the simplest way possible. Besides giving Questions and answers for EMRS PGT Mathematics Mock Test - 3, EduRev gives you an ample number of Online tests for practice
Download as PDF