Bihar STET Paper 1 Mathematics Mock Test - 9 - Bihar PGT/TGT/PRT MCQ

Explanation: For an AP,

a_n = a+(n-1)d

= 28+(7-1)(-4)

= 28+6(-4)

= 28-24

a_n=4

The graph of the polynomial
f (x) = 2x - 5

Method.

Let us consider, y = f (x) = 2x - 5

Now, when x = 0, y = - 5

and when y = 0, x = 5/2

So, we get two points (0, - 5) and (5/2, 0).

We plot the two points on a graph paper considering two rectangular axes XOX' and YOY'. Then, we find a straight line as shown in the graph.

We see that the line intersects x-axis at the point (5/2, 0).

Let the polynomial be f(x).

f(x) = x²− (sum of zeros)x +  product of zeros

= x²−2x–15

In ΔABC ,as it is isoceles so,
∠BCA=36°  [ (180°-108°)/2 ]
In ΔADC ,as it is isoceles so,
∠DCA=69°  [ (180°-42°)/2 ]
∠BCD=∠BCA+∠DCA
∠BCD=36°+69°
∠BCD=105°

As 1/2 is a root then it will satisfy the given equation.

Put x = 1/2

1/4 +(k×1/2) - 5/4 =0
k×1/2 =5/4 -1/4
k =2

Let Speed of Nidhi = x km/h

Time taken = t + 4 km/h

Time = D/s

Speed of Ria = (x + 5) km/h

Time taken = t hour

According to the question,

⇒

⇒

⇒ x² + 5x – 500 = 0

we know that the line parallel to y axis is given by x = a

x-4 = 0

x = 4
so it is a line parallel to y axis, at a distance of 4 units from it, to the right.

If the probability is in percentage we divide it by 100
So d) option is 0.05.And we know If an event is impossible its probability is zero. Similarly, if an event is certain to occur, its probability is one. The probability of any event lies in between these values. It is called the range of probability and is denoted as 0 ≤ P (E) ≤ 1.And probability more than one means that favourable outcomes are more than total outcomes which is wrong.

Total Cards: 52

Total Face cards: 12 (4 Jacks, 4 Queens, 4 Kings)

P(Choosing a Face card) =12/52= 3/13

The sector is the region between an arc and two radii joining the center to the endpoints of the arc.
Example: In the given figure, OAB is the sector of the circle.

tan 1.tan 2.tan 3...tan (90 - 3 ).tan ( 90 - 2 ).tan ( 90 - 1) 
=tan 1.tan 2 .tan 3...cot 3.cot 2.cot 1 
=tan 1.cot 1.tan 2.cot 2.tan 3.cot 3 ... tan 89.cot 89 
1 x 1 x 1 x 1 x ... x 1 =1

Since √2 and √5 are both irrational numbers, therefore  is an irrational number.

The middle most value of the data set is called median.

If the quadratic equation 6x2 - 2kx + 6 = 0 has equal roots, then

We have A.P.: -10, -6,-2…
So a= -10, d=-6+10=-2+6=4
l=a+(n-1)d
For fourth term,
 = -10+(3)*4=-10+12=2
For 5th term
 = -10+4*4=6

sin3θ = cos(θ - 26°)

=> cos(90° - 3θ) = cos(θ - 26°)

=> 90° - 3θ = θ - 26°

=> 3θ + θ = 90° + 26°

=> 4θ = 116°

=> θ = 116°/4

=> θ = 29°

⇒  It is given that Mean of 5 observations is 15.

∴  The sum of observations =15×5=75.

∴  It is given that mean of the first 3 observations is 14.

∴  The sum of first three observations =14×3=42.

⇒  Given that mean of the last 3 observations is 17.

∴  The sum of the last three observations =17×3=51

∴  The third observation =(42+51)−75
 =93−75

=18

A teacher's primary responsibility lies in planning educational experience of students. Effective teachers pose real, substantive problems for learners and set explicit expectations for learning. They actively engage students in learning and draw on a variety of resources, including innovative technologies and the students' own lives, communities and prior knowledge to support these efforts. This helps the students to gain real insight into the life, and are able to gain experience.

Inclusive Education:

• Inclusion in education refers to a model wherein students with special needs spend most or all of their time with non-special needs students. 
• Inclusive education means all children in the same classrooms, in the same schools. It means real learning opportunities for groups who have traditionally been excluded – not only children with disabilities but speakers of minority languages too.

Important Points

Models of inclusive education:

• Non-academic models: In this model, the students with disabilities participate only in non-academic class activities such as art, music, physical education, and other electives. This model is more appropriate for our lower functioning, alternate assessment students.
• Social mainstreaming model: This model provides the opportunity for disabled children to develop their social, emotional, and interpersonal skills. The students are encouraged to work together. They are aware of the strengths and weaknesses of each other in the classroom. Normal students become actively involved with disabled students and teachers in the group. In this model, the students with disabilities are included during regular classroom instruction to provide/her with appropriate interaction with non-disabled peers.
• Self-contained model: A self-contained classroom means that the child will be removed from the general school population for all academic subjects to work in a small controlled setting with a special- education teacher. Such classes offer structure, routine, and appropriate expectations, but some students may require a higher level of specialization.
• Pull-out (Resource) model: In this model, specialists work closely with students outside of the general education classroom. Instructional support or related services are provided in small groups or one-to-one in a separate setting.

Conclusion: 
An inclusive classroom is a term used within American pedagogy to describe a classroom in which all students, irrespective of their abilities or skills, are welcomed holistically. It is built on the notion that being in a non-segregated classroom will better prepare special-needs students for later life. There are various models used to describe the settings of the inclusive classroom.

• The non-academic model emphasizes the participation of special children only in non-academic activities such as music, art, etc. on the other hand, the social mainstreaming model emphasizes teaching special and non-special students together in the same settings.
• Self- contained model talks about training special needs students in controlled condition with a special educator while the resource model talks about teaching and training special needs students outside the general classroom.

So, from this, we can conclude that the social mainstreaming model talks about the model of inclusive education in which a student is included during regular education classroom instruction to provide the student with appropriate interaction with non-disabled peers. The student is given shortened assignment. Hence, option (2) is correct.

Learning by doing means activities-based learning.​It is the process of doing my own hands practically. It encourages the students to participate in their own learning experiences.

Key Points 
 Benefits of Activity-based Learning-

• The students in primary classes should be taught through various activities and hands-on experiences.
• Learning the concept by doing meaningful, hands-on activities related to the concept.
• The teacher teaches their students according to their needs and interest. Teaching should be child-centered.
• Activity-based teaching makes the classroom joyful and interesting. It can be completely self-led by each child or, the teacher could set some goals, and give hints and basic composition skills, Teacher keeps all the children actively involved in this activity by building a constant challenge into the exploration. 
• The teaching should be connected with real life. The teachers should take examples from the daily life of students so that they feel connected and interested.
• The teacher should use teaching aids from their real environment, nothing is better than this. For example, teachers should use pebbles to teach their students how to add and subtract.

Thus, it infers that Activity-based teaching makes the classroom joyful.

A good text book does not have flowery language. It has a plain and simple language, which the students can easily understand. Flowery language cannot be understood by everyone easily and because text books are common for both intelligent and weak students, it is important for a text book to have simple language.

Animals solve problems by understanding – like human beings, instead of going through either the trial and error process or stimulus response association. In this case, learning took place by insight. Learning by insight involves finding a solution to the problem by thinking over the problem and understanding the various aspects of the problematic situation.
Insight learning refers to the sudden realisation of the solution of any problem without repeated trials or continuous practices. To further elaborate on its definition, insight learning is the type of learning in which one draws on previous experience and also seems to involve a new way of perceiving logical and cause-and-effect relationship.

The Silicon Valley of India is a nickname of the Indian city of Bangalore. The name signifies Bangalore as a hub for information technology companies in India. It is a reference to the original Silicon Valley of the San Francisco Bay Area, which is the major hub for information technology companies in the United States.

Temperature is constantly measured taking into account the solidifying and breaking points of water. In 1948, the Centigrade scale renamed it the "Celsius" temperature scale and most nations utilize the Celsius scale.

The side of the square must be the same as the breadth of the rectangle.
Side of the square = 4 meters
So the answer = 4 × 4 = 16 m²
Hence, Option D is correct.

Let AB be the post and AC be its shadow.
Let AB = X m. Then, AC = √3Xm.Let∠ACB = θ.
AB/AC = tanθ => tanθ = X/√3X = 1/√3 = tan30°.
∴ θ = 30°.
Hence, the point of rise is 30°.

Hence, Option A is correct.

The pattern followed is:

Hence, the correct answer is "110".