AWES PGT Math Mock Test - 2 - AWES TGT/PGT MCQ

Union Home Minister Amit Shah unveiled a book titled ‘Memories Never Die,’ tribute to former President Dr. APJ Abdul Kalam.
The Minister  unveiled the book during his two-day visit to the Ramanathapuram district of Tamil Nadu. The book was co-authored by Dr. APJM Nasima Maraikayar and scientist Dr. Y. S. Rajan.

Girija Subramanian, the current Chairperson and MD of Agriculture Insurance Company (AIC), has been selected as the next CMD of New India Assurance by the Financial Services Institutions Bureau (FSIB). This selection process also included appointments for other executive positions in PSU general insurers.

Teachers are the implementers of education who foster the potential of young seedlings to grow and bloom. They carry a huge responsibility to shape and mould students' future.

In the above-mentioned situation, the teacher should arrange an activity for all students but paying attention to the students with special needs as it will help teachers in:

• fostering the potential of every child to grow and bloom.
• addressing the diverse learning needs of every student

• ensuring the active involvement of all learners in the activity.
• assisting students with special needs with proper guidance in the right way.
• devoting extra time to teach learning disabled or students with special needs.
• identifying the problem of the students' with special needs while paying attention to them.

Hence, it could be concluded that in the above-mentioned situation, the teacher should arrange an activity for all students but paying attention to the students with special needs.

Inclusive education is an approach, seeks to address the learning needs of all children, youth, and adults with a specific focus on those who are vulnerable to marginalization and exclusion.

• It implies all learners, young people - with or without disabilities being able to learn together through access to common pre-school provisions, schools, and community educational settings with an appropriate network of support services.

Key Points

• An inclusive classroom promotes learning of all children, with special abilities, with various social backgrounds, and with diverse learning needs.
• In the inclusive classroom, each student gets access to knowledge, skills, and information, which improve available choices to all children and we do not necessarily limit ourselves to the knowledge domain, but rather include the affective domain, and the attitudinal domain as well.
• Every child gets the opportunity for quality and optimal learning and for enjoying learning together and actively participating in learning activities. The activities are more-cooperative and collaborative so that each child can participate effectively.
• In an inclusive classroom, there will be less stress on competition, grades, and covering the course as the child will be given importance so that they can learn effectively.

Thus, it is concluded that more effort by teachers to "cover" courses is least important in an inclusive classroom.

Age of learner is proportional to the cognitive ability of the learner, thus teaching aids should be selected on the basis of the age. Use of any kind of teaching aid can only be helpful in serving the purpose, if it runs parallel to the cognitive ability of the learner.
The use of teaching aids facilitates the objective of teaching by assisting teachers in differentiating instruction. Hence, they must be chosen keeping in view what the teacher intends to teach the students.
The teaching aids also must be carefully chosen to match the intellectual level of the students. In case of students with intellectual disabilities, different kind of teaching aids are to be used, instead of those used for normal intellectual abilities.

'Education-of-all-in-schools-for-all' is a tagline for Inclusive education.
Inclusive education is a platform that promotes and believes that every child should get equal opportunity irrespective of caste, creed, colour, religion and whether a child is a normal or special case. 
It mainly focuses on providing education to special children, along with children with non-special needs. It welcomes special-needs children to promote equality.
Hence, the correct answer is, 'Inclusive education.

If l, m and n are the direction cosines of a line, Direction ratios of the line are the numbers which are Proportional to the direction cosines of the line.

Here, 0 ≤ x- 3 ≤ 7 - x  
⇒0 ≤ x - 3 and x - 3 ≤ 7 - x
By solvation, we will get 3 ≤ x ≤ 5
So x = 3,4,5 find the values of ^7-x P_{x - 3} by substituting the values of x
at x = 3 ⁴P₀ = 1
at x = 4 ³P₁ = 3 
at x = 5 ²P₂ = 2

Option C is not a trigonometric identity.

nth G.M. between a and b is
G_n = arⁿ
Where common ratio is r = (b/a)^(1/(n+1))
​So, to insert 3 geometric means between 1/4 and 64
 r = (b/a)^(1/(n+1))
r = (64/(¼)^(1/(3+1))
r = (256)^1/4
r  = (4)^(4)1/4
r = 4
G_n = 1 * (4)ⁿ
G₀ = 1 * (4)⁰ = 1
G₁ = 1 * (4)¹ = 4
G₂ = 1 * (4)² = 16
The terms are 1, 4, 16

An identity function, also called an identity relation or identity map or identity transformation, is a function that always returns the same value that was used as its argument. That is, for f being identity, the equality f(x) = x holds for all x.

Coefficient of

The distance of a point whose position vector is  from the plane  given by :

This occurs in either the I or the III quadrant. The only way for tan θ positive and sin θ negative is the III quadrant.

given that harmonic mean between the roots of the 
given equation is 4.

Let A (a, b) and G (x. y) Now A, G, O are collinear
⇒ x = (2*0 + a)/3
⇒ a = 3x
and similarly b = 3y
Now (a,b) lies on the circle = 9x² + 9y² = 9
=> x² + y² = 1

2x² + 2y² - x = 0 .
==> 2 ( x² + y² - x/2 ) = 0 .
==> 2/2 ( x² + y² - x/2 ) = 0/2 .
==> x² - x/2 + y² = 0 .
==> ( x² - x/2 + (1/4)² ) + y² = (1/4)² .
==> ( x - 1/4 )² + ( y - 0 )² = (1/4)² 
Centre (-¼, 0)    radius(¼)

Let us say that the two particular friends are A and B.
If A is invited among six guests and B is not, then:  number of  combinations to select 5 more guests from the remaining 8 friends:
          C(8, 5) =  8 ! / (5! 3!)  = 56
If B is invited among the six guests and A is not , then the number of ways of selecting the remaining 5 guests =  C(8, 5) =  56
Suppose both A and B are not included in the six guests list : then the number of such combinations =  C(8, 6) = 7 * 8 /2 = 28
So the total number of sets of guests that can be selected =  140.

x¹¹ cos x is an odd function.

The power set has 2ⁿ elements. For n = 11, size of power set is 2048.

z = x + iy
z = -x + 0i {-x > 0}
Principle arg(x) = π

Let  It is given that left| , then , 

Putting these values in (1) , we get : 

Correct Answer :- b

Explanation : α₁,α₂,........,α₉₉

α₁, 1α₂,........,1α₉₉

α₁α₂, α₂α₃, α₃α₄................α₉₈α₉₉ 

Sum of α₁α₂, α₂α₃, α₃α₄................α₉₈α₉₉ = 0

Therefore, x - 1 = 0

x = 1