EMRS PGT Mathematics Mock Test - 8 - EMRS MCQ

The correct answer is ​1965.

Key Points

• Green Revolution:
  • ​Father of the Green Revolution in worldwide- Norman Borlaug.
  • Father of the Green Revolution in India- M.S. Swaminathan.
  • This revolution led to an increase in food grain production.
  • In the year 1965, the government of India launched the Green Revolution.
  • India adopted a new strategy in agriculture, which resulted in the Green Revolution especially in the production of wheat and rice.
  • The movement of the green revolution was a great success and changed the country's status from a food-deficient economy to one of the world's leading agricultural nations.

In modern democracies, power-sharing arrangements can take many forms.

Important Point
Power is shared among different organs of government, such as the legislature, executive and judiciary are called horizontal distribution of power.

• Because it allows different organs of government placed at the same level to exercise different powers.
• Such separation ensures that none of the organs can exercise unlimited power.
• This system is also known as the system of checks and balances. 
• Each organ checks the others. This results in a balance of power among various institutions.

Thus, in the Horizontal form of power-sharing, we find the arrangement of the system of checks and balances.

Concept:

• Food comprises constituents like proteins, carbohydrates, fats and supplementary substances such as minerals, vitamins and water that are vital for life.
• These constituents are known as nutrients. For proper functioning of our body, we need to consume bodybuilding foods (e.g. milk, meat, poultry, fish, eggs, pulses, groundnuts); energy-giving foods (e.g. cereals, sugar, roots, fats and oils); and protective foods (e.g. vegetables, fruits).

Explanation:

• Carbohydrates are the main source of energy for our body.
• Carbohydrates are of two types – simple and complex.
• Simple carbohydrates - These are quick-energy foods, e.g. sugar. Sources of simple carbohydrates are natural fruits, milk and milk products, and vegetables including potatoes and carrots.
• Complex carbohydrates - These are better sources of energy than sugar since they are released slowly. Sources of complex carbohydrates are bread, cereals (rice, wheat, bajra, corn, barley, ragi, sorghum, millets etc.),

Gram is not a source of carbohydrate, it is a source of protein.

Additional Information

Proteins:

• proteins are obtained from the animal as well as vegetable sources. Proteins of animal origin are found in milk, eggs, cheese, fish and meat.
• Proteins from these sources contain all the essential amino acids (EAA) in adequate amounts.
• Vegetable proteins are found in pulses (legumes), cereals, beans, nuts, oilseeds, etc

The Venn diagram that best represents the relationship between Mammals, Whale, and Elephant is shown below:

Whale and Elephant belong to the class Mammal.

Elephants are the largest land mammals on earth and have distinctly massive bodies, large ears, and long trunks.

Hence, ‘Option 1’ is the correct answer.

The Logic is:

First Number² + First Number = Second Number

25 : 650 → 25 : 25² + 25 = 625 + 25 = 650

Similarly,

21 : ? → 21 : 21² + 21 = 462

⇒ ? = 441 + 21

⇒ ? = 462

Hence, '462' is the correct answer.

The logic follows here is:

Given code = (Positional value ÷ 2)3

Positional value of "V" = 22

22 ÷ 2 = 11

(11)3 = 1331

Positional value of "P" = 16 

16 ÷ 2 = 8

(8)3 = 512

Similarly,

Positional value of "J" = 10

10 ÷ 2 = 5

(5)3 = 125

Hence, the correct answer is "125".

By using the symbols in the table given below, we can draw the following family tree:

We do not know the gender of Shanti. 
Clearly, Shaurya is the cousin of Karan.
Hence, ‘Cousin’ is the correct answer.

Given:

The ratio of the present age of Annu and Raj = 4 : 5

Then after 8 years ratio of their age = 5 : 6

Calculation:

Let be assume the present age of Annu and Raj is 4x and 5x respectively

⇒ (4x + 8)/(5x + 8) = 5/6

⇒ 24x + 48 = 25x + 40

⇒ x = 8

⇒ The age of Annu = 4x = 4 × 8 = 32

⇒ The age of Raj = 5x = 5 × 8 = 40

∴ The required result will be 32 years, and 40 years respectively.

Scaffolding process in education is a teaching strategy to expedite children's learning process. Using this method, teachers first demonstrate how to deal a problem, then go back and offer support as and when required. Once basic learning is done, they give prompts, ask questions, cues to make the child learn and build the concept on what he has already learned.

The main purpose of teaching is to increase interest of all the students in the subject. The question-answer technique leads to motivation of students and increasing their self-confidence. This ensures active participation of all the students, while promoting thinking and originality.

The way in which students bring their finding to others and apply their understanding to new and unfamiliar circumstances, grows out of excitement for what they have accomplished. Student would be excited to reveal his finding.

sin θ is 3/5.
on simplifying:
(secθ + tanθ)/(secθ - tanθ)
We get, (1+sin θ)/(1-sin θ)
=(1+3/5)/(1-3/5)
=(8/2)
=4

Let √(5 – 12i) = x + iy
Squaring both sides, we get
5 – 12i = x² + 2ixy +(iy)² = x² – y² + 2xyi.
Comparing real and imaginary parts , we get
5 = x² – y² ———– (1) and xy = – 6 ———— (2)
Squaring (1), we get
25 = (x² – y²)2 = (x² + y²)² – 4x²y²
⇒ 25 = (x² + y²)² – 4(– 6)²
⇒ (x² + y²)² = 169
⇒ x² + y² = 13 ———- (3)
Adding (1) and (3) we get
2x² = 18
⇒ x = ± 3.
Subtracting (1) from (3) we get
2y² = 8
⇒ y = ± 2.
Hence, square root of √(5 – 12i) is (3 – 2i)
Similarly, √(5 + 12i) is (3 + 2i)
√(5 + 12i) + √(5 – 12i)
⇒ (3 + 2i) + (3 - 2i)
⇒ 6

Integers contain all the natural numbers. So it can be a universal set for natural numbers. In other options, there are only some of the elements of natural numbers.

Tangent, T : 2x−y+1=0
Slope of tangent, T to the circle is 2
The line joining the centre and the point of contact of tangent is perpendicular with the tangent.
Thus, slope of line OA = −1/2 
Equation of OA, (y−5) = −1/2(x−2)
x + 2y = 12
∴ Intersection with x−2y=4 will give coordinates of centre which are (8,2)
∴r = OA = √(8−2)² + (2−5)²
 =3√5

We know, < a sinx + bcos x 
∴ 7cosx+5sinx
 
Since k is integer,   -9 < 2k + 1 < 9 ⇒ -10 < 2k < 8 ⇒ -5 < k < 4
⇒ Number of possible integer values of k = 8.

So, sin (β - α) = sin β.cosα - cos β.sin a

sinA - sinB = 2cos(A+B)/2 sin(A-B)/2
sin 35 – sin55 = 2cos(35+55)/2 sin(35-55)/2
= 2cos45 (-sin10)
= 2(√2/2) (-sin10)
= -√2 sin10

The distance d from a point P(x₁, y₁, z₁) to the plane Ax + By + Cz + D = 0 is given by :

if it is common tangent, then m³ = 8 m = 2. 

Any square matrix when multiplied with its inverse gives the identity matrix. Note that non square matrices are not invertible.

Making the mentally retarded students learn through concrete experiences and making them apply the learned skills will surely work for mentally retarded children. Therefore, it becomes important for the teacher to plan out instructions for clear understanding of the concepts. 

• The policy is a comprehensive framework for elementary education to higher education as well as vocational training in both rural and urban India.
• This policy aims at reducing the curriculum load of students and allowing them to be more "inter-disciplinary" and "multi-lingual".
• One example given was "If a student wants to pursue fashion studies with physics, or if one wants to learn bakery with chemistry, they'll be allowed to do so".
• Report cards will be "holistic", offering information about the student's skills.

​Hence the central focus of National Education Policy 2020 is on multidisciplinary and holistic education. On the other hand, rigid curriculum, pedagogy, assessment, learning towards and for exams, and adoption of summative methods of assessment are not a part of NEP 2020 because these restrict the freedom of students to explore and learn.

All languages will be taught with high quality to all students; a language does not need to be the medium of instruction for it to be taught and learned well. The teaching of all languages will be enhanced through innovative and experiential methods, including through gamification and apps, by weaving in the cultural aspects of the languages - such as films, theatre, storytelling, poetry, and music - and by drawing connections with various relevant subjects and with real-life experiences.

Key Points

•  In addition to high-quality offerings in Indian languages and English, foreign languages, such as Korean, Japanese, Thai, French, German, Spanish, Portuguese, and Russian, will also be offered at the secondary level, for students to learn about the cultures of the world and to enrich their global knowledge and mobility according to their own interests and aspirations.
• It can be studied as an additional option.

Thus, it is concluded that National Education Policy (NEP) 2020 recommends the study of foreign languages as additional options at the secondary stage.

Shock is to surprise someone in an unexpected or unwanted way. It represents chaos whereas calm means to stay composed and stay cool.
Thus option 2 is the correct option.
Example- After a cyclone, there is always a period of calm that follows.

'Back to square one' means to come back to the point where something was initially started.  Option 3 is thus absolutely correct.
Example- After the failure of the machine prototype, the team was back to square one.

सही उत्तर ​बलदायक या सीमाबोधक निपात है।

Key Pointsवह आज तक परीक्षा में सफल नहीं हुआ।- वाक्य के रेखांकित शब्द में बलदायक या सीमाबोधक निपात है।

अन्य विकल्प-

• स्वीकार्य निपात- हाँ, जी, जी हाँ।
• निषेधात्मक निपात- मत
• विस्मयादिबोधक निपात- क्या, काश, काश कि

निपात- किसी भी बात पर अतिरिक्त भार देने के लिए जिन शब्दों का प्रयोग किया जाता है, उसे निपात कहते है। जैसे- तक, मत, क्या, हाँ, भी, केवल, जी, नहीं, न, काश। उदाहरण- कल मै भी आपके साथ चलूँगा।Additional Information