EMRS PGT Mathematics Mock Test - 8 - EMRS MCQ

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.

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.

The logic followed here is:

In figure 1:

32 = (2 + 2) × 8

4 × 8

32

In figure 2:

24 = (3 + 1) × 6

4 × 6

24

Similarly,

In figure 3:

45 = (4 + ?) × 5 

4 + ? = 9

? = 9 - 4

? = 5

Hence, the correct answer is "5".

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.

The logic follows here is:

Now,

Karan is 17 years old, has a weight of 47 kgs, and a height of 161 cms.

It is clearly mentioned in the criteria of Physical in Sub-inspector and Army recruitment about the weight and height of the candidate. Karan has a weight of 47 kgs and a height of 161 cms which is less than the criteria set for both the recruitment. Therefore, Karan neither qualifies for Physical in Sub-inspector and Army recruitment.

Hence, the correct answer is "Neither Sub-inspector nor Army recruitment".

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 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.

n,n + 1, n +2  are consecutive integers their sum is muttiple of 3, so 

Puting x=-1
a-b+c
but
a+c<b or a+c-b<0
hence f(x)<0 for all real values of x
therefore
putting x=-2
we get f(X)=4a+c-2b<0
or 4a+c<2b

For the 1st point chords can be drawn with joining 9 other points.
For the 2nd point distinct chords can be drawn with joining 8 other points.
 For the 9th point distinct chords can be drawn with joining 1 other point. 
So, total no. of points = 9 + 8 + 7 + . . . . . . + 1 = 45 

The total number of ways is same as the number of arrangements of 4 fingers, taken 3 at a time.
So, required number of ways = ⁴P₃ 
= 4!/(4-3)!
= 4!/1!
= 4! => 24

Let A1, A2, A3, ........ , A40 be 40 A.M's between two numbers 'a' and 'b'.
Then, 
a, A1, A2, A3, ........ , A40, b is an A.P. with common difference d  = (b - a)/(n + 1) = (b - a)/41
[ where n = 40]
now, A1, A2, A3, ........ , A40  = 40/2( A1 + A40)
A1, A2, A3, ........ , A40 = 40/2(a + b)
[ a, A1, A2, A3, ........ , A40, b is an Ap then ,a + b = A1 + A40]
sum of 40A.M = 120(given)
120= 20(a + b)
=> 6 = a + b ----------(1)
Again, consider B1, B2, ........ , B50  be 50 A.M.'s between two numbers a and b.
Then, a, B1, B2, ........ , B50, b will be in A.P. with common difference = ( b - a)/51
now , similarly,
B1, B2, ........ , B50 = 50/2(B1 + B2)
= 25(6) ----------------from(1)
= 150

Since, it given that
(a₁ +ib₁)(a₂ +ib₂) ....(a_n + ib_n) = A +iB

Taking conjugate throughout, we have

Multiplying (i) and (ii), we have

Expand using the formula 

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

Required area :

To solve this problem, we'll use the tangent addition formula:

• tan(A + B) = (tanA + tanB) / (1 - tanA * tanB)

We can rewrite 45° as 22° + 23°. So,

• tan(45°) = tan(22° + 23°)

Using the tangent addition formula:

• 1 = (tan22° + tan23°) / (1 - tan22° * tan23°)

Cross-multiplying, we get:

• 1 - tan22° * tan23° = tan22° + tan23°

Rearranging the terms, we get:

• tan22° + tan23° + tan22°.tan23° = 1

Therefore, the value of tan22° + tan23° + tan22°.tan23° is 1.

Hence, y = (1-0) - ( -1 -1) -(0 - 1) = 4

Lawrence Kohlberg, an American psychologist, has propounded the 'Theory of Moral Development'.

• He has made a systematic study of moral development in his theory that is categorized into 3 levels and 6 stages. 

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. 

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.

Rumour is a false message that spreads like wildfire. Similarly, hoax too represents a message that is spread just for hype without any validation.
None of the other options are related to rumour, thus option 2 is correct.
Example- There was a hoax of a bomb being present at the metro station.

The correct option is 2.
The sentence talks about a rich man killing himself and his own children. From the phrase, ‘his own children’, we can derive that the ‘him’ in the sentence refers to the rich man. The phrase is wrong as it should be ‘himself’ instead of ‘him’.

सही उत्तर 'अब, एवं, भी' है।

दिए गए विकल्पों में 'अब, एवं, भी' अव्यय की श्रेणी में आते है।

वे शब्द जिनमे लिंग, कारक, वचन, पुरुष आदि के कारण कोई विकार/ परिवर्तन उत्पन्न नहीं होता है, अव्यय शब्द कहलाते है।

जैसे – आज, कब, इधर, किन्तु आदि।

Key Points

अन्य विकल्पों का विश्लेषण:

Additional Information अव्यय के पांच भेद हैं –