KVS PGT Mathematics Mock Test - 10 - KVS PGT/TGT/PRT MCQ

'Market' is to advertise some product so that it can be sold. Hide is to hold something back and prevent it from being promoted. Thus, option 2 is the apt antonym for the question given.
Example- As soon as some consumers reported flaws in the product, it was hidden from the public eye.

विकल्प गर्दन पर छुरी चलाना सही है।

Key Points

• गर्दन पर छुरी चलाना
  • अर्थ – नुकसान पहुचाना
  • वाक्य प्रयोग – मुझे पता चल गया कि विरोधियों से मिलकर किस तरह मेरे गले पर छुरी चला रहे थे।

Additional Information

• गड़े मुर्दे उखाड़ना
  • अर्थ – दबी हुई बात फिर से उभारना
  • वाक्य प्रयोग – जो हुआ सो हुआ, अब गड़े मुर्दे उखाड़ने से क्या लाभ ?
• गागर में सागर भरना
  • अर्थ – थोड़े शब्दों में अधिक विचार प्रकट करना
  • वाक्य प्रयोग – कबीर के दोहों की क्या बात है, बस दो ही पंक्तियों में गागर में सागर भर दिया है।
• गुल खिलना
  • अर्थ – नयी बात का भेद खुलना, विचित्र बातें होना
  • वाक्य प्रयोग – सुनते रहिये, देखिये अभी क्या गुल खिलेगा।

Important Points

• अन्य उदाहरण
• छींका टूटना
  • अर्थ – अनायास लाभ होना
• छुट्टी पाना
  • अर्थ – झंझट या अपने कर्तव्य से मुक्ति पाना
• छू हो जाना या छूमंतर हो जाना
  • अर्थ – चले जाना या गायब हो जाना
• छोटा मुँह बड़ी बात
  • अर्थ – हैसियत से अधिक बात करना

मुहावरे का सही युग्म है - 'आँख में चर्बी छाना - घमंड से चूर होना'

• वाक्य प्रयोग - अजय अपना अभावग्रस्त जीवन भूल गया है, अब तो उसकी "आंखों में चर्बी चढ़ गई है"।

Key Points

• मुहावरा एक ऐसा वाक्य होता है जो वाक्य की रचना करने पर अपना एक अलग अर्थ या विशेष अर्थ प्रकट करता है।
• इनका प्रयोग करने से भाषा,आकर्षक, प्रभावपूर्ण तथा रोचक बन जाती है।

Additional Informationकुछ महत्वपूर्ण मुहावरा, अर्थ और उनके वाक्य प्रयोग:-

• आंख दिखाना - बहुत क्रोध करना

वाक्य प्रयोग - राम से मैंने सच बातें कह दी, तो वह मुझे "आँख दिखाने लगा"।

• आग लगाना - झगड़ा कराना

वाक्य प्रयोग - दीपक ने झूठ बोलकर राहुल और दीनेश के बीच "आग लगा दी"।

• आँख बिछाना - प्रेम से स्वागत करना

वाक्य प्रयोग - जब प्रधानमंत्री आए तो स्कूल में सबने "आँखें बिछा दीं"।

The correct answer is Shamsuddin Iltutmish.

Key Points

• Shamsuddin Iltutmish (1211 AD-1236 AD)
  • He was a slave of Qutubuddin Aibak and occupied the throne of Delhi in 1211 AD after deposing Aram Bakhsh.
  • He regarded as the ‘real founder of the Slave Dynasty and the Delhi Sultanate’ because he freed the Delhi Sultanate from the claim of suzerainty by the rulers of Ghazni. 
  • He made Delhi the capital in place of Lahore.
  • He saved Delhi Sultanate from the wrath of Changez Khan by refusing shelter to Khwarizm Shah, whom Changez Khan was chasing.
  • He got his authority (Sultanate of Delhi) recognised by the Caliph of Baghdad (Khalifa) as a member of the world fraternity of Islamic states.
  • He completed the construction of Qutub Minar.
  • He constituted a group of 40 nobles known as Turkan-i-Chahalgani or Chalisa.
  • He started the Iqta-dar system in Delhi Sultanate. This is an assignment of land in lieu of salary, which he distributed to his officers.
  • He introduced the silver coin (tanka) and the copper coin (jital).
  • He patronised Minhaj-al-Siraj, author of Tabaqat-i-Nasiri.
  • Shamsuddin Iltutmish is known as the real founder of the Slave dynasty.

Additional Information

• Qutubuddin Aibak was the founder of the slave dynasty.
• Aram Shah was the son of Qutubuddin Aibak.
• Razia Sultan was the first and last Muslim woman ruler of Medieval India.

The Correct Answer is Option 1 i.e 29th August.

• National Sports Day is celebrated every year on 29th August.
• It is celebrated to commemorate the birth anniversary of hockey legend Major Dhyan Chand.
• On this day, President of India honors eminent sports personalities with major awards including Khel Ratna, Arjuna Awards, Dronacharya Awards, and Dhyan Chand Award.
• Dhyan Chand: Born on August 29, 1905, Dhyan Chand is considered the greatest hockey player of all time.
  • Born in Uttar Pradesh, Chand earned three Olympic gold medals in 1928, 1932 and 1936 in field hockey.
  • He was conferred the Padma Bhushan award.

How to select the whole text of the document in MS-Word:
To select the entire text of a document in MS-Word, you can follow these steps:
Method 1: Using Keyboard Shortcut
1. Place your cursor at the beginning of the document.
2. Press and hold the "Ctrl" key on your keyboard.
3. While holding the "Ctrl" key, press the "A" key.
4. The entire text of the document will now be selected.
Method 2: Using the Ribbon
1. Click on the "Home" tab in the MS-Word ribbon.
2. Locate the "Editing" group on the ribbon.
3. Click on the "Select" dropdown arrow in the "Editing" group.
4. Select the "Select All" option from the dropdown menu.
5. The entire text of the document will now be selected.
Method 3: Using the Context Menu
1. Right-click anywhere in the document.
2. In the context menu that appears, click on the "Select All" option.
3. The entire text of the document will now be selected.
Method 4: Using the Navigation Pane
1. Click on the "View" tab in the MS-Word ribbon.
2. In the "Show" group, check the "Navigation Pane" option to display the navigation pane on the left side of the screen.
3. In the navigation pane, click on the "Headings" tab to display the document headings.
4. Right-click on any heading and select the "Select All" option from the context menu.
5. The entire text of the document will now be selected.
Remember, selecting the entire text of a document allows you to perform various actions such as formatting, deleting, copying, or applying styles to the entire content at once, making it an efficient way to manipulate the document as a whole.

Cell Address Options:
A: 2512
B: A25
C: 911
D: 45Z
E: None of these
Correct Option: B
Explanation:
To identify the correct cell address, we need to consider the rules for cell referencing in spreadsheet applications like Microsoft Excel or Google Sheets. Here's a detailed explanation of each option and why option B is the correct one:
- Option A: 2512
- This does not follow the typical cell address format, which includes a combination of letters and numbers. It only consists of numbers, so it is not a valid cell address.
- Option B: A25
- This follows the standard cell address format. The letter "A" represents the column and "25" represents the row. Therefore, it is a valid cell address.
- Option C: 911
- This does not follow the standard cell address format as it only consists of numbers. It is not a valid cell address.
- Option D: 45Z
- This does not follow the standard cell address format as it combines numbers and letters in an incorrect order. It is not a valid cell address.
- Option E: None of these
- This option refers to the possibility that none of the given options are valid cell addresses. However, in this case, option B (A25) is indeed a valid cell address, so this option is not correct.
Therefore, the correct option for the cell address is B: A25.

• Leadership differs greatly in personal style and these differences really matter. Consider the behavior of two different types of teachers.
• In one class a teacher truly "ran the show". He/she took firm control of all the class activities and left no doubt about who was in charge.
• He/she made all decisions and never asked for students' input. He/she even posted a long list of rules in front of the room, telling learners to do or not to do in a wide range of situations.
• Another teacher offered a sharp contrast to this approach. He/she seemed to enjoy sharing his/her authority with students and let the class vote on many decisions. And while he/she too had rules, they were much more flexible and were never posted in a formal list.

Traits of good Leadership in the classroom:

Key Points

Personal Qualities of a Leader

• Being Honest & Consistent: Honest and consistent in behaviour; more concerned with the good of the organization than personal ambition
• Acting with Integrity: Open to criticism and disagreement, consults and involves others in decision-making; regards values as integral to the organization
• Being Decisive, Risk-taking: Decisive when required; prepared to take difficult decisions, and risks when appropriate
• Inspiring Others: Charismatic, exceptional communicator; inspires others to join them
• Resolving Complex Problems: Capacity to deal with a wide range of complex issues; creative in problem-solving

Additional Information

Leithwood identified three fundamental goals pursued by transformational leaders in school:

Helping staff develop and maintain a collaborative, professional school culture

• Collaborative goal setting
• Delegating power
• Promoting school's norms and beliefs
• Strengthening productive school culture

Fostering teacher development

• Developing a shared vision for the school
• Partnership in school improvement goals and priorities

Helping teachers to solve problems more effectively

• Holding high-performance expectations
• Providing individualised support
• Supplying intellectual stimulation

Brainstorming is a creative group work in which group members produce large number of ideas quickly on a given topic or problems for subsequent evaluation. In this method, anyone can exchange remarks with anyone except that the participants are not allowed to criticize the ideas. Sometimes, quantity of ideas is more important than quality. Spontaneity is the hallmark of brainstorming sessions. On the spot ideas are expected.

School is an agency for formal education that has its own structure and organization. It is governed by rules and regulations prescribed by the state. 

Key Points

• A child's thought gets acknowledged at school because it is a place, that puts students in the center.
• School paves the way for students to explore their knowledge and have a conceptual understanding of things.
• The school provides opportunities to develop social development among students through various learning activities.
• Teachers are responsible in organizing discussions, learning expeditions, and presentations in class, to develop a sense of socialization among the students, so they can discuss their feeling and opinions in the classroom.

Hence, we can conclude that Kritika who does not talk much at home talks a lot at school. It shows that her thoughts get acknowledged at school.

Operation blackboard (OBB) scheme was launched by the national policy on education (1986). It aims at improving the human and physical resources available in the primary schools of the country.

Key Points 

• OBB stands for operation blackboard.
• The main purpose of this program was to ensure minimum essential physical facilities in all elementary schools.
• The term "operation" implied that there was urgency in the program which had a predetermined time frame for its implementation and the term "blackboard" symbolized physical facilities. 
• The concept of operation blackboard implied the speedy creation of minimum essential physical facilities in school both in terms of men and material.

Thus, it can be concluded that Operation Black Board was the outcome of NPE 1986​. ​

Additional Information

• Kothari commission or National Education Commission deals with the education sector of India. 
• NEP 2020 or National Education Policy is the latest education policy of India.

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.

Number of sides of a cube = 6
Number of colour of a cube = 6
Number of ways of colouring =?
Consider a cube in 3D space 
Each of the sides towards East West North South and remaning two up and down 
Now fixing up positions down is also fixed 
Total number of ways 
= 6!/(4×6)
​= 5×3×2 
= 30 Ways
Hence, the correct answer is 30 Ways

Two vectors A and B are said to be collinear , if they are parallel to the same line irrespective of their magnitudes and directions.

A = {2, 3, 4, 8, 10}
B = {3, 4, 5, 10, 12}
C = {4, 5, 6, 12, 14}
► (A ∩ B) = {3,4,10}
► (A ∩ C) = {4}
► (A ∩ B) U (A ∩ C) = {3,4,10}

Take (1 + x)¹⁰⁰⁰ as common, after simplification it becomes (1 + x)¹⁰⁰⁰ coefficient of x⁵⁰ is ¹⁰⁰²C₅₀

The given ellipse is 

Hence, the eccentricity  e1, of the hyperbola  is given by
1 = e₁ sinθ ⇒ e₁ = cosec θ ⇒ b² = sin²θ (cosec²θ - 1) = cos²θ

∴ 

= sin θ + sin 3θ + sin 5θ + .....+ sin 29θ

Let image of S'' be with respect to x +y - 5 = 0

Let P be the point of contact.
Because the line L = 0 is tangent to the ellipse, there exists a point P uniquely on the line such that PS + PS ' = 2a .
Since PS ' = 2a Hence, P should be the collinear with SS ''
Hence P is a point of intersection of SS '' (4x - 5 y = 9) , and 

The point (2 cosθ, 2 sinθ) lies on the circle x² + y2 = 4. From the figure, it  is  obvious that 



Hence no solution

Given that  and a, y, z, b are in G.P. 

Matrix C is given in Transpose form. So, Matrix C is 3x1 order.

The correct option is C 
a=c=1/4, b=1/2
y=x is a tangent
∴ slopes are equal.
dy/dx=2ax+b
⇒1=2a+b at (1,1)⋯(1)
Also, the parabola passes through (1,1)
⇒a+b+c=1⋯(2)
The parabola passes through (−1,0)
⇒0=a−b+c⋯(3)
Solving (1),(2),(3), we get -
∴a=c=1/4
and b=1/2

• Every set has the empty set as a subset. So if a set has 1 element, like {0}, then it will have 2 subsets: itself and the empty set, which is denoted by { }.
• So, if a set has only one subset, then this set must be the empty set.

 

Vector equation of a line that passes through the given point whose position vector is and parallel to a given vector is given by :