EMRS PGT Mathematics Mock Test - 5 - EMRS MCQ

 The correct answer is Humus.​

Key Points

• Humus is a dark, organic matter that forms in soil when a plant or living matter decays. 
• Humus is formed by the decomposing action of soil microorganisms (e.g., bacteria and fungi), which break down animal and vegetable material into elements that can be used by growing plants. 
• Humus is an important biological constituent of fertile soil.
• It contains many useful nutrients for healthy soil. One of the most important is nitrogen. Nitrogen is a key nutrient for most plants. 
• Agriculture depends on nitrogen and other nutrients found in humus.
• When humus is in soil, the soil will crumble, and water moves easily through the loose soil so that oxygen can reach the roots of plants.
• When people compost, they collect decaying organic material, such as food and garden scraps, that turned into soil, It produces Humus in soil.

Key Points

Rock cycle:​​

• Rocks do not remain in their original form for a long period.
• They undergo a transformation.
• This cycle is an uninterrupted process through which old rocks are converted into new ones.
• Igneous rocks are primary rocks.
• These rocks can be changed into metamorphic rocks.
• Sedimentary and metamorphic rocks are formed from these primary rocks.
• The fragments evolved out of metamorphic rocks and igneous again form into sedimentary rocks.
• Sedimentary rocks themselves can develop into fragments.
• The crustal rocks -igneous, metamorphic, and sedimentary-once formed may be carried down into the interior of the Earth through subduction.
• In this process, parts or entire crustal plates subduct under another plate and the same melt at high temperatures in the interior.
• This results in the formation of molten magma, the unique source for igneous rocks.
• The process of transformation follows the steps,  'Igneous rocks - sediment - sedimentary rocks - metamorphic rocks - magma'​ 
• The image below clearly explains the rock cycle.

Hence, rock cycle is the process of transformation of rock from one to another

CONCEPT:

Galvanometer:

• A galvanometer is used for detecting current in an electric circuit.
• The galvanometer is the device used for detecting the presence of small currents and voltage or for measuring their magnitude.
• The galvanometer is mainly used in the bridges and potentiometer where they indicate the null deflection or zero current.
• The potentiometer is based on the premise that the current sustaining coil is kept between the magnetic field experiences a torque.

EXPLANATION:

• From the above, it is clear that the galvanometer is the instrument used for detecting the presence of electric current in a circuit. Therefore option 1^st is correct.

​Additional Information 

Mistake Point
Difference between Ammeter and Galvanometer:

• The ammeter shows only the magnitude of the current.
• The galvanometer shows both the direction and magnitude of the current.

Given

Ratio of principal and amount is 4 : 5 at a certain time. If it becomes 5 : 7 after 3 years

Concept used

Rate = (interest × 100)/(Principal × time)

Calculation

Principal : Amount = 4 : 5

Principal be equal 

Multiply the first ratio with 25 and second with 20

⇒ (4 : 5) × 25 

⇒ (5 : 7) × 20

Principal : Amount = 100 : 125

Principal : Amount = 100 : 140

Difference in amount = 140 - 125

Difference in Amount = 15

3 year = 15

1 year = 5

Rate = (interest × 100) / Principal × time

Rate = 

Rate = 5%

∴ The required simple rate of interest is 5%.

Logic: We have to make a family tree as per the above conditions.

Consider the below symbols.

The family tree for the given problem is as follows:

In the question, Her father is the only son of my father means woman's father and the man's father's only son is the same person means he is talking about himself. 

As the man is the father of that woman.

Therefore, the correct answer should be "Option 1: Father".  

1) 6941 ⇒ the square boxing ring

2) 5713 ⇒ put the box out

In 1) and 2) one number is common i. e. ‘1’ and one word is common i. e. ‘the’.

Hence, in code language, 1 = the

3) 1259 ⇒ box in the ring

In 1) and 3) two number are common i. e. 1 and 9, and also two words are common i. e. ‘the’ and ‘ring’.

But we know 1 is the code number for ‘the’, implies 9 is the code number for ‘ring’.

Code for 1 is the.

Code for 5 is box.

Code for 9 is ring.

Hence, "9" is the correct answer.

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.

A good teacher is one who draws attention of students towards himself. If at any moment he finds that students are not attentive towards him, then he should start evaluating his teaching methods and find out the areas where he lags, and hence should modify his methodology, to catch attention of students and take necessary steps to improve himself.

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.

• 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}

Correct Answer :- a

Explanation : The formula to find the coefficient of a^pb^qc^rd^s in (xa+yb+zc+vd)ⁿ is (n!x^p y^q z^r v^s)/p!q!r!s!

So, coefficient of a⁴b³c²d in (a−b+c−d)¹⁰

= [10!(1)⁴(-1)³(1)²(-1)1]/(4!3!2!1!)

= 12600

Roots are real and equal
⇒ (a² + b² + c²) (b² + c² + d²)-(ab + bc + cd)² = 0 
⇒ b² = ac, c² = bd, ac = bd
⇒ a, b, c, d are in G.P

since n is appositive integer

When x > 0 & y < 0, the quadrant contains positive X-axis and negative Y-axis
Therefore, the point lies in the fourth quadrant. 

Let   

Using Componendo and Dividenode, we get

an imaginary number


= an imaginary number

= an imaginary number

L.C.M of 4 and 6 is 12.

Given, A = {x:x is a multiple of 4}
              = {4,8,12,16,20,…}

and     B = {x:x is a multiple of 6}
              = {6,12,18,24,…}

∴A ∩ B = {12,24,…}
             = {x:x is amultiple of 12}

x-y-3=0

For a discrete probability function, the variance is given by

Where µ is the mean, substitute P(x)=ⁿC_x p^x q^(n-x) in the above equation and put µ = np to obtain
V = npq

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.'

• 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.

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.

The word 'conceited' means 'excessively proud of oneself'.

The sentence talks about Rick who is a vain person.

This implies that whenever his wife gives an opinion different from his, his response would not be a positive one.

The correct word is 'belittle' which means 'dismiss as unimportant'. 

दिये गए विकल्पों में से विकल्प 3 'हरि' सही उत्तर है। अन्य विकल्प सही उत्तर नहीं हैं।

Key Points

• सर्प, मेंढक, सिंह, घोडा, वानर, हाथी आदि सभी 'हरि' के अनेकार्थक शब्द हैं।

अन्य विकल्प -

शिव- मंगल, महादेव, वेद, भाग्यशाली

Additional Information

• अनेकार्थक शब्द- ऐसे शब्द, जिनके अनेक अर्थ होते हैं, अनेकार्थी शब्द कहलाते हैं।
• जैसे-

अंबर – आकाश, कपड़ा ·

अदृष्ट – जो देखा न जाए, भाग्य, गुप्त, रहस्य।

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