NVS PGT Mathematics Mock Test - 10 - NVS TGT/PGT MCQ

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.

According to the information given in the question, we can draw the following diagram.

AC = 40 km
BC = 30 km
AB = AC - BC
AB = 40 - 30
AB = 10 km
Ravi is 10 km away from his starting point.
Hence, the correct answer is "10 km".

The logic follows here is:

Pattern: Letter increased by +1, +2, +3, +4, +5, +6 and so on.

Similarly,

Hence, "FZDQURL" is the correct answer.

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".

Given: 24$3@8#45*5
After replacing the symbols we get:
24 + 3 x 8 - 45 ÷ 5
= 24 + 3 x 8 - 9
= 24 + 24 - 9
= 48 - 9
= 39
Hence, 39 is the correct answer.

A, B, C, D, E and F are sitting in a circle facing towards centre.

i) A is second to the left of D and second to the right of E.

ii) D is between F and B.

The final arrangement is:

Thus C is facing towards D.

Hence, the correct answer is "C".

The given conclusions are far-fetched and not certain.

The Formula Bar
The toolbar that allows you to enter values and formulas in various software applications, such as Microsoft Excel, is called the Formula Bar. It is a crucial component of spreadsheet programs that enables users to input and edit data in cells.
Key features of the Formula Bar:
- Input Box: The Formula Bar consists of an input box where you can enter values, numbers, and formulas.
- Cell Selection: It displays the reference of the currently selected cell, making it easy to identify and locate specific cells.
- Formula Editing: You can directly edit formulas in the Formula Bar by selecting the desired cell and making changes in the input box.
- AutoComplete: The Formula Bar often provides autocomplete suggestions, which can enhance efficiency and accuracy when entering complex formulas.
- Error Display: If there is an error in a formula, the Formula Bar may display an error message, allowing you to identify and correct the issue.
Advantages of using the Formula Bar:
- Accuracy: The Formula Bar ensures precise data entry by allowing users to enter formulas and calculations directly.
- Efficiency: It provides a centralized location for entering and editing data, saving time and effort.
- Visibility: The Formula Bar makes it easy to view and modify formulas, improving overall spreadsheet comprehension and management.
Therefore, the Formula Bar is an essential toolbar that facilitates the input and manipulation of data, formulas, and calculations in spreadsheet applications like Microsoft Excel.

File Extension of MS-Power Point File:

The correct file extension for a MS-Power Point file is .ppt.

Explanation:

• MS-Power Point is a popular presentation software developed by Microsoft.


• When you save a Power Point presentation, it is saved with a specific file extension that indicates the file type.


• The file extension for Power Point files is .ppt, which stands for "Power Point Presentation".


• The file extension helps the operating system and associated software identify and open the file correctly.


• If you see a file with the extension .ppt, you can be confident that it is a Power Point presentation.


• It is important to have the appropriate software, such as Microsoft Power Point, to open and view .ppt files.


• Other file extensions mentioned in the question, such as .ppf and .ptp, are not valid file extensions for Power Point files.

Therefore, the correct answer is D: .ppt.

In education, teaching is the concerted sharing of knowledge and experience, which is usually organized within a discipline and, more generally, the provision of stimulus to the psychological and intellectual growth of a person by another person or artifact. The steps are in the following order:
(iv) Formulating instructional objectives
(i) Relate the present knowledge with previous one
(v) Presentation of instructional materials
(ii) Evaluation
(iii) Reteaching

If θ is the acute angle between

then cosine of the angle between
these two lines is given by :


Here, 


Then, 

Let the roots be α, β : β, γ and γ, α then
αβ = b, βγ = c and γα = a 

Radius of circle =14cm
An angle = 135^o
Length of arc = ?
We know that, Length of arc = Radius × Angle
= 14 * 3π/4
= 14 * (3*22)/(7*4)
= 33cm

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 

⇒ |z| = 1

As (1 – p) is root of the equation: x² + px + (1 – p) = 0

(1 – p)² + p(1 – p) + (1 – p) = 0

(1 – p)[1 – p + p + 1] = 0

(1 – p) = 0

p = 1

Therefore, given equation now becomes

x² + x = 0

x(x + 1) = 0

x = 0, -1

Graph of f (x) shows f (x) > 6 for x < 0 or x > 4

Apply, C₁→ C₁+ C₂+C₃+C₄,

Apply, R1 →R₁ - R₂,

Apply, R₁→ R₁ - R₂, R₂ → R₂ - R₃

=(x+3a) (a -x)³ (1) = (x+3a)(a-x)³

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

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

National Education Policy 2020 is the first education policy of the 21st century and aims to address the many growing developmental imperatives of our country. This Policy proposes the revision and revamping of all aspects of the educational structure, including its regulation and governance, to create a new system that is aligned with the aspirational goals of 21st-century education.

Key PointsFeatures of NEP 2020:

• Teachers will be encouraged to use a bilingual approach, including bilingual teaching-learning materials, with those students whose home language may be different from the medium of instruction. 
• Children will be exposed to different languages early on (but with a particular emphasis on the mother tongue), starting from the Foundational Stage onwards as multilingualism has great cognitive benefits for young students.
• Multilingualism aims at using languages of all children for teaching-learning and increasing the better innate understanding of how language works. It enhances creativity, divergent thinking, and appreciation of local languages.
• As per the new National Education Policy (NEP), the medium of instruction until at least Grade 5, but preferably till Grade 8 and beyond, will be the home language/mother-tongue/local language/regional language.
• The three-language formula will continue to be implemented while keeping in mind the Constitutional provisions, aspirations of the people, regions, and the Union, and the need to promote multilingualism as well as promote national unity.

Thus,it is concluded that 'multilingualism has great cognitive benefits for young students' statement is proposed in National Education Policy 2020.

The correct option is Option 3, i.e., ‘equanimity’.
The sentence talks about how the wife of President Madison could remain calm during an invasion as well. This ability of ‘remaining calm and composed in a difficult situation’ is what is meant by ‘equanimity’. Therefore, the correct answer is Option 3.

दिए गए विकल्पों में से सही उत्तर विकल्प 1 'कार्य से निवृत्त होना’ है। अन्य विकल्प इसके गलत उत्तर हैं।

Key Points

• मुहावरा- गंगा नहाना
• अर्थ - ​कार्य से निवृत्त होना
• वाक्य - हर कोई अपना काम करके गंगा नहाने की चाह रखता है।
• अन्य विकल्प अनुचित हैं।

अन्य विकल्प:

Additional Information

• मुहावरा का शाब्दिक अर्थ ‘अभ्यास’ है।
• मुहावरा शब्द अरबी भाषा का शब्द है।
• हिन्दी में ऐसे वाक्यांशों को मुहावरा कहा जाता है, जो अपने साधारण अर्थ को छोड़कर विशेष अर्थ को व्यक्त करते हैं।

विकल्प घी के दिए जलाना सही है।

Key Points

• घी के दिए जलाना
  • अर्थ: खुशियाँ मनाना
  • वाक्य प्रयोग: भगवान श्रीराम के अयोध्या लौटने पर प्रजा ने घी के दिए जलाए थे।

Additional Information

• घाव पर नमक छिड़कन
  • अर्थ: दुखी को और दुखी करना
  • वाक्य प्रयोग : वह अनुत्तीर्ण होने के कारण पहले दुखी है, तुम जली – कटी सुनाकर उसके घाव पर नमक छिड़क रहे हो।
• घोड़े बेचकर सोना
  • अर्थ : निश्चित होना
  • वाक्य प्रयोग: दिन-भर थकने के बाद मजदूर रात को घोड़े बेचकर सोते हैं।
• चाँद पर थूकना
  • अर्थ:निर्दोष पर दोष लगाना
  • वाक्य प्रयोग: अरे, उस संत-महात्मा पर व्यभिचार का आरोप लगाना चाँद पर थूकना है ।

Important Points

• अन्य उदाहरण
• झोली भरना
  • अर्थ – भरपूर प्राप्त होना
• टाँग अड़ाना
  • अर्थ – अड़चन डालना
• टका सा जबाब देना
  • अर्थ – साफ़ इनकार करना
• टस से मस न होना
  • अर्थ – कुछ भी प्रभाव न पड़ना
• टोपी उछालना
  • अर्थ – निरादर करना

विकल्प घर घाट एक करना सही है।

Key Points

घर घाट एक करना

• अर्थ: कठिन परिश्रम करना
• वाक्य प्रयोग: नौकरी के लिए संजय ने घर घाट एक कर दिया।

Additional Information

दिन गँवाना

• अर्थ: समय नष्ट करना
• वाक्य प्रयोग:बेरोजगारी में रोहन आजकल यूँ ही दिन गँवा रहा है।

पासा पलटना

• अर्थ:स्थिति उलट जाना
• वाक्य प्रयोग: क्या करें पास ही पलट गया। सोचा कुछ था हो कुछ गया।

पीछा छुड़ाना

• अर्थ :जान छुड़ाना
• वाक्य प्रयोग :बड़ी मुश्किल से मैं उससे पीछा छुड़ाकर आया हूँ।

Important Points

अन्य उदाहरण

गोद लेना

• अर्थ – दत्तक बनाना, अपना पुत्र न होने पर किसी बच्चे को विधिवत अपना पुत्र बनाना
• वाक्य प्रयोग – महिमा दीदी के जब कोई संतान नहीं हुई तो उन्होंने एक बच्चा गोद लिया।

खोज खबर लेना

• अर्थ – समाचार मिलना
• वाक्य प्रयोग – मदन के दादा जी घर छोड़कर चले गए। बहुत से लोगों ने उनकी खोज खबर ली तो भी उनका पता नहीं चला।

आँखे सेंकना

• अर्थ – दर्शन का सुख उठाना
• वाक्य प्रयोग – बहुत से नवयुवक तो मेले ठेले में सिर्फ आँखे सेंकने ही आते हैं।

खून के आँसू रुलाना

• अर्थ – बहुत सताना या परेशान करना
• वाक्य प्रयोग – रामू कलियुगी पुत्र हैं, वह अपने माता-पिता को खून के आँसू रुला रहा हैं।

गागर में सागर भरना

• अर्थ- गिनती के या थोड़े से शब्दों में बहुत अधिक भाव या विचार सँजोना या व्यक्त करना।
• प्रयोग- उस व्यक्ति ने मंच पर आने के बाद तो मानो जैसे गागर में सागर ही भर दी।