Bihar STET Paper 1 Mathematics Mock Test - 8 - Bihar PGT/TGT/PRT MCQ

Two angles form a linear pair if they have; 

A common arm

A common vertex

Their interiors do not overlap

The sum of two angles is 180°.

Therefore, linear pair of angles are adjacent angles whose non-common arms are opposite rays. 

Note: 

All adjacent angles do not form a linear pair.

From the above figure we can observe; OX and OY are two opposite rays and ∠XOZ and ∠YOZ are the adjacent angles. Therefore, ∠XOZ and ∠YOZ form a linear pair. 
If you measure ∠XOZ and ∠YOZ with the help of the protractor, you will find the sum of their measures equal to 180°.

Thus, the sum of the angles in a linear pair is 180°.

a₁=-3,
a₂=4,
d=4-(-3)=7,
a₂₁=?,
a₂₁=a+(n-1)d
=-3+(21-1)7
= -3+(20)(7)
= -3+140
=137

= 2p r (h + r)

= 3872 cm²

x = 3 satisfies only the equation x²−5x+6 = 0
As (3)²−5×3+6 = 0
⇒ 9−15+6 = 0
⇒ 15−15 = 0
⇒ 0 = 0
⇒ L.H.S. = R.H.S.

Let kite is flying at a height AB = 60 m and angle of elevation = 30°
To find: Length of the string AC

Therefore, the length of string is 120 m.  B C

Number of tigers in 2007 = 1,411

Decrease in number of tigers = 18,000 – 1,411 = 16,589

The assertion is false because the quadratic equation x² + 7x + 12 can be factored as (x + 3)(x + 4), which means it has two real zeros (-3 and -4). The reason is true because a quadratic polynomial indeed can have at most two zeros, but it doesn't directly relate to the assertion being true or false.

If side of square is 'a', then √2a = 10 Squaring both sides, 2a² =100 a² = 50 Area is 50 sqcm.

Let the length of the shadow be x meters.
Then the height of the tower be √3x meter 

Now, 8 (3h - 4) + 5 (h - 2)

= 24h - 32 + 5h - 10, the expansion

= 24h + 5h - 32 - 10

= 29h - 42, the simplification

Let, p(x) = x²-10x+k
since, 8 is the root of p(x)
∴ p(8) = 0
8²-10(8)+k = 0
64-80+k = 0
-16+k = 0
⇒ k = 16 .

k(x – 10) (x + 10) =0
⇒ either k=0
Or x-10=0
Or x+10=0
Since we don’t know the value of k 
So either x-10=0
x=10
Or x+10=0
x=-10
So values of x can be 10,-10

total cost = area of canvas used x cost of per meter square canvas

= 4526 x 17 

= Rs. 76942

(100+1)×(100 - 1) it is the formula of a²-b² so, (100)² -(1)² = 10000-1 = 9999.

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.

The teaching method is a way to put theory into practice. It generally describes the pedagogy of children, general principles, and management strategies that are to be used through the whole teaching-learning process. It helps to ease the learning pace of students.

Key Points

The project method or activity-based method is based on learning by doing.

• These methods make learning realistic and experimental.
• It aims to make students think independently and is a target-driven activity based on the challenge, fostering success and efficient cooperation.
• These methods follows the maxims of teaching like known to unknow, seen to unseen, simple to complex, concrete to abstract.
• Learning by doing and experiencing the consequences of one's own actions. 
• To enhance the skills and understanding of the learners as they gain knowledge by engaging with the contents and experiences.

Important Point

The whole knowledge travels from known to unknown, concrete to abstract, simple to complex, and from seen to unseen. The same principle is applied in classroom teaching and is the very aim of education at the highest level.

From concrete to abstract:

• The abstract is confusing, difficult to understand, and subjective. The acquisition of new knowledge may become a simpler task when it is supported with concrete examples, objects, and events.

Hence we can say that the basis of the project or an activity-based method is going from concrete to abstract.

Mrs. Sharma makes her assessment useful and interesting by using various ways to collect the information. Each way provides a different piece of information or same information with some additional inputs. For example, a written question paper gives us the idea of the person's knowledge, an oral assessment gives us an idea of the person's verbal ability and articulation, and activities may prove useful in testing child's ability to apply the knowledge practically. Activities also make assessment interesting for children.

Teachers use different evaluation methods because different subjects require different methods of assessment like science can be assessed by practical exams and languages can be assessed by evaluating verbal ability and fluency.

Learning disabilities are neurologically-based processing problems. These processing problems can interfere with learning basic skills such as reading, writing and/or math. They can also interfere with higher level skills such as organisation, time planning, abstract reasoning, long or short term memory and attention. They are not caused due to the method of teaching used by the teacher. They may be present due to improper brain development, or infection in brain, etc. Constant fights amongst parents also lead to mental strain and anxiety in students, which may lead to learning disabilities.

A teacher-centered approach is one where activities in the classroom are controlled by the teacher. In teacher-centered education, students put all of their focus on the teacher. The teacher leads the activity in the classroom and provides necessary information.

Key Points

• It focuses on the discipline of students.
• The emphasis is given to the right answer by students.
• The teacher gives instructions while students only listen to teacher not give any responses.
• Courses prescribed for a class can be completed in a time because all activities are controlled by the teacher.
• Power is primarily with teachers and the teacher is the only person who will give instructions and students will follow the instructions.
• Acquisition of knowledge is focused.

So, in a teacher-centered approach, the student will not develop the ability to develop the ability to create different models using clay and paper in the group. because the teacher-centered approach focuses on imparting the knowledge and students passively grasp the knowledge.

The students are required to understand the relative positions and relative distances of places. They must know how to use the scale and symbols. Drawing precisely according to the scale is not important.

Let the widh = 2x
Length = 3x
2x × 3x = 54
x = 3 cm
Hence, Option A is correct.

Through O, draw a line l parallel to both AB and CD. Then
∠1 = 45° (alt. ∠S)
and ∠2 = 30° (alt. ∠S)
∴ ∠BOC = ∠1 + ∠2 = 45° + 30° = 75°
So, X = 360° – ∠BOC = 360° – 75° = 285°
Hence X = 285°.

i) Rohit walked 30m towards South.
ii) Took a left turn and walked 50m
iii) Again he took a left turn and walked 30m.
Drawing the Diagram as per the given information:

AB = CD = 50m
Thus we can see he is 50m far from the starting point.
Hence, the correct answer is "50m".