AWES TGT Maths Mock Test - 4 - AWES TGT/PGT MCQ

Visual Impairment: The term 'visual impairment' is used to refer to not only those who are blind but also those who have their own vision. When the person has residual vision above a certain level, he is said to have low vision or poor vision. However, if the residual vision is below that level, he is considered to be blind.

Important Points

In a classroom situation, the total number of blind students should be 10-12, so that teacher can adopt the strategies which cater individual differences in the class.

Strategies to teach blind students in the classroom:

• Teachers who teach blind children in ordinary classrooms need to provide adequate special materials and equipment. There is almost universal agreement that the special materials and equipment needed by a visually impaired student in a regular school are essential to success.
• In addition, Friendly user materials are good teaching materials for blind children, and creative materials which are provided to blind children enhance dialogue and social interaction to complete an assignment. 
• Students with visual impairments who's knowledge of concepts are strong would have difficulty keeping pace with this rate of instruction unless it is entirely verbal.
• Purposeful sampling was used to select teachers who teach blind children in ordinary classrooms. Legibility for teacher’s participation in the study was based on the following criteria:
  • experience in teaching blind children with their distance vision assessment results indicating that they are blind with (visual acuity of (3/60 or worse).
  • Teaching ordinary classrooms,
  • fully attending school at the time of the study, and
  • gender balance was desirable but not necessary.
• The teacher who is guiding the blind children in ordinary classrooms is supposed to know more than the blind pupils who are being guided, that is why very many blind children have fallen victims to wrong teaching. Guidance is needed for blind children since they can hear, it is easy for them to learn.

Hence, we can conclude that in a classroom situation, the total number of blind students should be 10-12.

In the triarchic theory, three types of intelligence proposed by Robert Sternberg are: Analytical, Creative and Practical.

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.

The term used interchangeably with 'Motivation' is 'Need'. 
Motivation is a term that means the motive behind something. It means a person wants something, has a desire for something, wants to avoid something, and wants to escape from something. Having a desire for something is related to need. When we need something, then only a desire creates to have that thing.
Thus, this is the correct answer.

NEP 2020 advocates for the use of technology as a supplement to traditional teaching methods to enhance learning experiences.

Since equation of required circles is S + λS ' = 0
As it passes through (1, 1) the value of 
If 7 + 2p = 0, it becomes the second circle,
Therefore it is true for all values of p

Since the circles touch each other, equation of the common tangent is S₁ – S₂ = 0 ⇒ x = 0.
Putting x = 0 in the equations of the circles, we get y²+ b = 0.
This equation should have equal roots ⇒ b = 0.
Hence (c) is the correct answer.

In the vector form, equation of a plane which is at a distance d from the origin, and  is the unit vector normal to the plane through the origin is given by : 

Therefore , the area of triangle 

Differentiating xy=16, (xdy)/x+y=0
⇒ dy/dx=−y/x=−1/16= Slope of tangent
⇒  Its (tangent's) equation : y=−1=−1/16(x−16)
⇒ 16y−16=−x+16 ⇒ 16y=−x−32
⇒ 16y+x+32=0
It will cut x−axis at A(−32, 0)
& y−axis at B(0, −2)
⇒  Area of △OAB= 1/2×2×32 
⇒ 32

Using the Venn Diagram,
(i) A - B = A - (A ∩ B) is true

(ii) A = (A ∩ B) ∪ (A - B) is true

(iii) A - (B ∪ C) = (A - B) ∪ (A - C) is false

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
 

Δ = 1/2 [2(1-8) -7(1-10) +1(8-10)]
= 47/2

P (A will die within a year) = x
P (B will die within a year) = y
∴ P (Exactly one of them will be alive at the end of the year)
= P (A is alive & B is dead)+ P (A dies B is alive)

(As these are independent events)

As the value of ‘n’ increases, it becomes difficult and tedious to calculate the value of ⁿC_x.

0 , because the particular solution is free from arbitrary constants.

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

Given, 
Number of visitors= 4
Number of hotels= 5
So, A can disperse among 5 hotels,
      B can disperse among 4 hotels,
      C can disperse among 3 hotels,
      D can disperse among 2 hotels.
∴ They can disperse in the hotels in 5 × 4 × 3 × 2 = 120 ways

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°

The Equation of tangent at vertex to parabola x²+4x+2y=0 is :
x²+4x+2y+4−4=0
(x+2)² = −2(y−2)
x²=−2y
Equation of tangent at vertex is y=0
y−2=0
y=2

put x = tan A, y = tan B, z = tan C
tan A tan B + tan B tan C + tan C tan A = 1
tan C [tan A + tan B] = 1– tan A tan B

At (x = 0) f(0) = |(0+½) .[0]| = 0
f(1) = |(1+½) .[1]| = 3/2
f(2) = |(2+½) .[2]| = 5
f(-1) = |(-1+½) .[-1]| = ½
LHL at x = 2 
lim x-->2  f(x) = |(x+½) .[2]|
=|(5/2) * 1| = 5/2
f(2) = limx-->2 f(x) ( continuous at x=2)

In the thirteen books that comprise Euclid's Elements there is a total of 465 propositions.

Let the interior angles be x and 3x 

We know that exterior angle of triangle is equal to sum of interior opposite angles.

⇒ x+3x=80^∘

⇒ 4x=80^∘

⇒ x=20^∘

So the angles are 

x=20^∘

3x=3×20^∘

= 60∘

Both the assertion and the reason are true, but the reason provided is related to the sum of the zeroes, not their product. The correct explanation involves the formula for the product of the zeroes of a quadratic polynomial, c/a, which would lead to 5k/−10, hence determining the value of k.