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

सही उत्तर 'सेना' है।

Additional Information

• दिए गए विकल्पों में से 'अनी' का सही पर्यायवाची शब्द 'सेना' होगा।
• अनी के अन्य पर्यायवाची शब्द- कटक, दल, फौज, चमू, अनीकिनी।

अन्य विकल्प:

• स्वादिष्ट के पर्यायवाची - मजेदार, सुस्वादु।
• दुष्ट के पर्यायवाची - पापी, नीच, दुर्जन, अधम, खल, पामर।
• सेतु के पर्यायवाची - गर्डर, धराई, धरण।

Key Points

• एक ही अर्थ में प्रयुक्त होने वाले शब्द जो बनावट में भले ही अलग हों, पर्यायवाची या समानार्थी शब्द कहलाते हैं।

• बहुवचन - कबूतर
• समानार्थी शब्द - कपोत
• लिंग - पुल्लिंग
• संज्ञा के प्रकार - जातिवाचक

चिड़िया

• बहुवचन - चिड़ियाँ
• समानार्थी शब्द - पंछी , पक्षी , परिंदा
• लिंग - स्त्रीलिंग
• संज्ञा के प्रकार - जातिवाचक

कोयल

• बहुवचन - कोयलें
• समानार्थी शब्द - कोकिल , कोकिला
• लिंग - स्त्रीलिंग
• संज्ञा के प्रकार - जातिवाचक

कौआ

• समानार्थी शब्द - काग , काक , कौवा
• विलोम शब्द - कौवी , कौवी
• लिंग - पुल्लिंग

The correct answer is The Supreme Court.

Key Points 

• The Supreme Court of India is called the custodian of the Constitution in India.
• The highest court in India, the Supreme Court is considered as the guardian of the Constitution.
• The conflicts or quarrels of jurisdiction between the central government and the state governments or between the legislature and the executive are decided by the court.
• It upholds and uplifts the rule of law and also ensures and protects citizens’ rights and liberties as given in the Constitution.
• Therefore, the Supreme Court is also known as the Guardian of the Constitution.​

Additional Information 

• The Indian constitution provides for a provision of the Supreme Court under Part V (The Union) and Chapter 6 (The Union Judiciary).
• The Supreme Court of India is the highest judicial court and the final court of appeal under the Constitution of India, the highest constitutional court, with the power of judicial review.
• India is a federal state and has a single and unified judicial system with a three-tier structure, i.e. Supreme Court, High Courts, and Subordinate Courts.

The term diversity used in discourse related to people or communities or in social contexts is more specific, indicates that a group of people is made up of individuals who are different from each other in some way or the other or it means collective differences among people. They can be diverse socially, educationally, economically, culturally, etc.

Key Points

Effective strategies to address learners from disadvantaged and deprived backgrounds- 

• Inclusive education is a movement to empower the vulnerable and marginalized groups to overcome the disadvantages of unequalized socialization and give them examples from diverse settings. 
• The curriculum should to be specific and related to the needs and real-life experiences. Emphasis should be on learning manual skills, life skills and technical efficiency.
• Sometime the teacher should talk to the learners to understand their needs and challenges faced by them. 
• Interest in learning has to be, created by the teacher, effort should be towards developing self-confidence, self-respect and a sense of cultural identity. 
• Form collaborative groups to work on activities and encourage students to support each other.
• Motivate the students to set moderately challenging goals and provide appropriate instructional support. 

Thus from above-mentioned points, it is clear that in order to address learners from diverse backgrounds, a teacher should draw examples from diverse settings. 

Leadership has been defined as “the process of influencing the activities of an individual or a group in efforts towards the achievement of goals in a given situation”. The source of influence may be formal, or informal. Leaders can emerge from within a group as well as being formally appointed.

Characteristics of Leadership:

1. Followers:

• The success of leadership depends upon the number of followers. The larger the number of followers, the more successful will be the leader. Leadership cannot be thought of in the absence of followers.

2. A Personal Quality:

• Leadership is a personal quality of character and behavior, which enables him to influence his men to follow and the followers to follow his instructions and direction. 

3. A Common Goal:

• Leadership clusters around the achievement of common goals. There must be some common goals before the leader and his followers. All the activities must be planned to achieve these goals in a group.

4. Active Relations:

• The presence of active relations between a leader and his followers is essential for effective leadership. The leader must himself initiate the work as he wants it to be done by his followers.

5. Practical Approach:

• An effective leader is one who adopts a practical approach to the problems of the enterprise. He should not be rigid. He should change his behavior according to the need of time. He should follow the democratic method of leadership through a wide and flexible approach.

6. It is a Process:

• Leadership is a continuous process of directing, guiding, presenting examples, and influencing people to make their best efforts for the attainment of pre-determined objectives.

Hence, To get training in leadership, one should possess the quality of group planning. group welfare activities, coordinating the activities of group welfare, preparation of projects, and left them to others for implementation all are the part of planning.

Additional Information

• A leader should support definite objectives in the organization so that it becomes easier for the people to understand the goals of the organization.
• If the objectives are sound then it is possible for the leader to become sound.
• The leader must be certain that he has a sound and therefore an appealing purpose before he tries to win followers.
• In this exercise, the leader should try to interpret the experiences of his followers occasionally so that the finer points could be explained to them.
• It could be convincing since the experience would benefit the followers.

Human beings keep changing. During their lives, they change in size, appearance, and psychological makeup. The way they change differs from individual to individual. But the fundamental underlying patterns of growth and development remain more or less the same and take place in an orderly way.

Key Points

• The growth of a child is mainly related to 'Physical Development' which refers to physical changes that occur in humans throughout life.
• Growth talks about the quantitative changes, for instance, an increase in size and structure. For example, It is possible to measure how tall a child has grown over a specific period of time.
• The child not only becomes larger in stature but the size and structure of the internal organs and the brain also increases.
• Physical growth goes on from birth onwards, in tissues, muscles, bones, height, weight, strength, brain, and in fact, in every physical aspect, function, or formation.

Thus, it is concluded that Growth is related to the physical dimension of personality of a child.

Hint

• Development refers to qualitative changes in an individual such as change in personality or other mental, moral and emotional aspects. It results in an increase in structure for better and enhanced functioning of organs.
• For example, child’s increased ability to adjust in groups and make friends is a social aspect of his development.

Equation of normal at any point (x₁, y₁) is  it passes through 
P (h, k) then  thus (x₁, y₁) lie on the conic 

C₁, O, C₂ are collinear

Since g(x) = |x| is a continuous function and   so f is continuous function. In particular f is continuous at a = 1 and x = 4) f is clearly not differentiable at x = 4) Since g(x) = |x| is not differentiable at x = 0. Now

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

The lines represented by A where a > 0 and when a < 0 are given in the following figures

The area enclosed by A and D would be zero if d < |a|. In choice (b), d = 1 and a = – 2 i.e., d < |a|.
If a > 0, then the only case when the area enclosed by A and D will be zero, is when d = 0.

Coefficient of

Let S be success &F be failure and let p = probability of getting head = 1/2
q = 1/2
A starts the game then
P (A wins) = P (A wins in first throw) + P (A wins in third throw) + P (A wins in fifth throw) +......... ∞
= P(S) + P(FFS) + P(FFFFS) +......... ∞
= p + q.q.p + q.q.q.q.p +.........


This is an infinite GP and hence its sum is

Selecting 3 consonants out of 7,
No. of ways = ⁷C₃ 
Selecting 2 vowels out of 4,
No. of ways = ⁴C₂ 
No. of ways of forming the words
= ⁷C₃* ⁴C₂* 5! (for arrangement of the letters)
= 35 * 6 * 120
= 25200 

Given 

Therefore, tanθ =

4 , because the no. of arbitrary constants is equal to order of the differential equation.

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.

The number of onto functions that can be defined from a finite set A containing n elements onto a finite set B containing 2 elements = 2ⁿ − 2.

x¹¹ cos x is an odd function.

f(0) = lim(x→0) x sin (1/x)
​We know ∀ x ∈ R,sin (1/x) ∈ [−1,1]
Hence, f(0) = lim(x→0) xsin(1/x) 
= 0

so that the equation becomes 1/z = 1z²

where ω (≠1) is a cube root of unity.

Multiplying numerator and denominator with 1 + 2isinα/2 then real part = 0

C₁C₂ = r₁+ r₂