KVS TGT Math Mock Test - 2 - KVS PGT/TGT/PRT MCQ

Laudable is worthy of praise, and hence appalling is an antonym.

Note: Rule to make active voice of Simple Future Tense: Passive subject + shall/will + be + third form of verb + by + passive object
The above given sentence is given in Passive Voice :-
The message will be passed by Rahul.
Therefore , required answer will be option D .

• वह खा रहा था। - अपूर्ण भूत
• क्रिया के जिस रूप से ये पता चलता हैं कि कार्य भूतकाल में पूरा नहीं हुआ था तथा कार्य अभी भी जारी है उसे अपूर्ण भूत कल कहते हैं।
  • उदाहरण - वह खेल रहा था।

Key Pointsअन्य विकल्प -

• संदिग्धभूत - क्रिया के जिस रूप से बीते हुआ अतीत याद आये या उसका संदेह हो उसे संदिग्ध काल कहते हैं।
• हेतुहेतुमद् भूतकाल - क्रिया के जिस रूप से यह पता चलता हैं कि कार्य हो सकता था परंतु दूसरे कार्य की वजह से नहीं हो पाया हैं ऐसे काल को हेतुहेतुमद् भूतकाल कहते हैं।
• हेतुहेतुमद् भविष्यत् - जहाँ क्रिया के भविष्य में हो सकने पर किसी कारण का प्रतिबन्ध दीखता हो, वहाँ क्रिया के काल को हेतुहेतुमद भविष्य काल कहते हैं।

Additional Informationकाल के तीन भेद हैं -

1. भूतकाल
2. वर्तमान काल
3. भविष्य काल

(जब - तुम ) मिश्र वाक्य का योजक चिन्ह है

Lion eats deer, cat eats mouse, hawk eats pigeon but pig does not eat piglet.

Approaches to learning describe and explain the conditions under which learning does and does not take place. This movement is towards theorizing the process of learning. It attempts to provide a definite coherence to one particular subset of experimental findings in the field of learning.

Key Points

• Constructivism is centered on the idea that human knowledge and learning are actively constructed by the teacher, not passively received from the environment.
• Constructivist teaching is based on the theory of constructivism which holds that learning always builds upon the knowledge that a student already knows.
• As a constructivist teacher, one should have a clear idea of < />previous knowledge of the children i.e., what they had already learned in previous classes and from where they need to begin.
• After knowing their acquired and previously existing knowledge, the teacher should create a learning environment that is stimulating, interactive, and enlightening for them i.e., children should be engaged actively while interacting with their environment to learn.
• Learners have to construct knowledge themselves or by working in small groups and by asking questions. 
• Knowledge is not passively received or absorbed by the learner but actively built by him/her. What more this implies is that knowledge cannot be transmitted from one learner to another.

Thus, it is concluded that the 'previous experiences of children are used for construction of new knowledge in the classroom' is a characteristic of a constructivist classroom.

School improvement is a strategic activity that requires effective leadership and influence. In practical terms, it involves matching of belief with action with a willingness to allocate resources to overcome major political, bureaucratic, and financial barriers to change.

Key PointsProcesses that form the foundation for school improvement include:

• a planned process of change.
• a process that is participative and empowering.
• clear and ongoing communication.
• support for teams and teamwork that encourages ownership and management of processes, systems and relationships.
• structures that promote innovation, learning and change.
• action research processes that combine learning and doing - an iterative process where the lessons from one inform the actions of the other. 

Hence, it is clear that all of the above are correct.

A school curriculum is a complete set of organized experiences in the school. It includes aims, objectives, teaching content, teaching strategies, and all teaching-learning aids to cater totality of students' experiences that occur in the educational process.

• The Latin meaning of the term 'curriculum' is a racecourse used by chariots.
• The curriculum comprises two major dimensions: a vision and a structure.
• It comprises all the planned set of activities and experiences that facilitate learning and bring about the desired outcomes.
• The curriculum can be described as a blueprint of experiences that have been planned for the students.

Key Points

 Some certain criteria and processes need to be followed for curriculum development:

• A curriculum must be relevant in terms of age, location, and content. To be relevant, it should be comprehensive to the students.
  • It should be related to everyday life.
• The curriculum should also be such that a student can relate to it geographically.
• The breadth and depth of the curriculum should be designed depending on the different stages of the learner as defined by Piaget.
  • It should be child-centered, catering to all the needs of children.
• As the learner progresses from Grade I to Grade XII, he should be able to discern the coherence between the different items learned.
  • The student should also be able to understand the connectivity and interrelatedness of the various subjects studied. 
• The major task confronting a curriculum designer is to integrate the learning experiences of the learner at a particular level of the curriculum.
  • This refers to the horizontal relationships among various themes or topics in different subject areas. 

Thus, it can be inferred that "Curriculum should be static" is not the principle of curriculum construction.

Additional InformationThere are different elements of the curriculum:

• Analysis of situation.
• Formulation of curriculum objective( intended learning outcomes).
• Selection of Content (subject matter) and scope. 
• Learning experiences ( activities, strategies, and methods of transferring knowledge)
• Evaluation of quality, the effectiveness of the process, and product.

The definition of "curriculum" is frequently misinterpreted as the syllabi or course of study that are required for a certain class or degree but It is broader than that, it includes all the activities that an educational institution can organize to provide better learning experiences to children.

School library refers to a room within a school with a collection of books, manuscripts, periodicals, etc to provide easy access to students, teachers, staff, and parents.

Key PointsThe school library is an educational apparatus of considerable value. It ensures the achievement of educational aims by:

• promoting equitable access of information to school members.
• providing a broad range of learning opportunities to school members.
• developing the habit of reading or self-learning skills among the learners.
• ensuring optimum utilization of leisure periods of learners and school facilities.

Hence, it could be concluded that the school library ensures the achievement of educational aims by promoting equitable access of information to school members.

5³ - 1³ can be solved using the identity ;

(a³ - b³) = (a - b) (a² + b² + ab)

5³ - 1³ = ( 5 - 1 ) ( 5² + 1² + 5*1)

=(4) (25 + 1 + 5)

= (4) (31)

= 124

Area of the circle with radius r =πr²
Now, New Radius = r + 100% of r = r + r = 2r
∴ New Area = π(2r)² - 4πr²
∴ Increased Area = 4πr² -  πr² = 3πr²
And Area increased in

Corresponding sides in congruent triangles are equal.

So AC = PR ,AB = PQ ,BC = QR

use factor theorem as x+2 is factor of

x³-2ax²+16 so put x = -2 and equate the equation to 0

so putting x = -2

(-2)³-2a(-2)²+16 =0

-8-8a+16=0

-8a = -8

a = 8/8= 1

So,

a = 1

LCM (12, 15, 18, 27) = 540
Now, largest four digit number = 9999 
∴ 9999 ÷ 540 = 18 x 540 + 279 (Remainder = 279) Therefore, the largest number of 4 digits exactly divisible by 12, 15, 18 and 27 is 9999 – 279 = 9720

Median is the middle value of the observations. So Median cannot be obtained when the observations are not in order. So first we have to arrange in ascending order. 
59, 46, 30, 23, 27, 44, 52, 40 and 29
Gives- 23,27,29,30,40,44,46,52,59
Since the no. of observations is odd 

l = a + (n - 1)d
Where l = -82,a = ?,d = -3,n = 30
-82 = a + 29 (- 3)
a = 5

sum=n/2x(2a+(n-1)d )
       =50/2(2x3+ (50-1)3 )
       = 25 ( 6+49x3 )
       = 25x 153
       = 3825

Time duration between 4.00 om and 4.25 pm = 25 minutes
∵ Angle described by minute hand in 60 minutes = 360°
∴ Angle described by minute hand in 25 minutes  

11th term is 35 so a+10d = 35 => equation 1

13th term is 41 so a+12d = 41 => equation 2

solve both equations by elimination method

we get common difference as 3.

Euclid was a teacher of mathematics at Egypt.
Ans- Option A.

Let a be any positive integer and b = 2
Then by applying Euclid’s Division
Lemma, we have, a = 2q + r where 0 ⩽ r < 2 r = 0 or 1
Therefore, a = 2q or 2q+1 
Therefore, it is clear that a = 2q i.e., 
a is an even integer in the form of 2q

The denominator 2⁶ x 5² is of the form 2^m x 5ⁿ, where m and n are non-negative integers. Hence, it is a terminating decimal expansion.

Let ABCD is a square circumscribing a circle of radius a cm.
The side of square ABCD = Diameter of circle
⇒AB=2a
Therefore, perimeter of square AB=4×AB=4×2a=8 cm

Taking LCM

The given AP is x – 7, x – 2, x + 3 …
So a= x-7, d=x - 2- x + 7 = x + 3 - x +2 = 5
l = a + (n - 1)d
=x - 7 + (15 - 1)5
=x - 7 + 70 = x + 63