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NVS TGT Math Mock Test - 4 - NVS TGT/PGT MCQ


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30 Questions MCQ Test - NVS TGT Math Mock Test - 4

NVS TGT Math Mock Test - 4 for NVS TGT/PGT 2024 is part of NVS TGT/PGT preparation. The NVS TGT Math Mock Test - 4 questions and answers have been prepared according to the NVS TGT/PGT exam syllabus.The NVS TGT Math Mock Test - 4 MCQs are made for NVS TGT/PGT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for NVS TGT Math Mock Test - 4 below.
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NVS TGT Math Mock Test - 4 - Question 1

On which day is the International Day for the Elimination of Violence Against Women observed?

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 1

November 25 is recognized as the International Day for the Elimination of Violence Against Women, a significant date designated by the United Nations to spotlight and address the global issue of violence faced by women.

NVS TGT Math Mock Test - 4 - Question 2

Who launched "Subhash Abhinandan", a digital exhibition based on the life of Subhash Chandra Bose?

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 2

Union Law and Justice Minister Arjun Ram Meghwal launched "Subhash Abhinandan", a digital exhibition based on the life of Subhash Chandra Bose. This exhibition is based on documents available in the National Archives. It is noteworthy that the National Archives of India is celebrating its 134th Foundation Day.  

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NVS TGT Math Mock Test - 4 - Question 3

Direction: If a Paper (Transparent Sheet) is folded in a manner and a design or pattern is drawn. When unfolded this paper appears as given below in the answer figure. Choose the correct answer figure given below.

Find out from the four alternatives as how the pattern would appear when the transparent sheet is folded at the dotted line.

Question Figure

Answer figure

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 3

If you fold the paper in upward direction from dotted line, the upper line of the figure will be near to middle line. So it will make s triangle. Please take a transparent paper and draw a similar figure and fold it.

NVS TGT Math Mock Test - 4 - Question 4

'Mountain' is related to 'Hill' in the same way as 'River' is related to:

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 4

As short form of 'Mountain' is 'Hill' similarly 'Tank' is short form of 'River'.

NVS TGT Math Mock Test - 4 - Question 5

Directions to Solve

Each of the following questions has a group. Find out which one of the given alternatives will be another member of the group or of that class.

Question -

Root, Stem, Branch

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 5

All are the parts of tree.

NVS TGT Math Mock Test - 4 - Question 6

If the area of a circle is ‘A’, radius of the circle is ‘r’ and its circumference is ‘C’, then

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 6

Here, Area of circle (A) = πr2 and Circumference of circle (C) = 2πr
 
Putting value of C in A = πr2, we get

NVS TGT Math Mock Test - 4 - Question 7

The diagonal PR of a quadrilateral PQRS bisects the angles P and R, then

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 7

In Δ PSR and ΔPQR

► PR = PR
► ∠ 1 = ∠ 2 
► ∠ 3 = ∠ 4

Δ PSR ≅ Δ PQR  [ASA]

► PS = PQ   [CPCT]
► QR = RS  [CPCT]

The correct option is Option A

NVS TGT Math Mock Test - 4 - Question 8

Find AB in the given figure

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 8

Use tanθ formula in both the triangles ABC and ABD.

NVS TGT Math Mock Test - 4 - Question 9

If the length of the shadow of a tower is √3 times that of its height, then the angle of elevation of the sun is

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 9

Let AB be the tree and AP be the shadow.
Let AB = x meters. Then AP = x√3 meters
Also ∠APB = θ
In right angled triangle ABP 

Therfore the angle of elevation of the Sun is 30°.

NVS TGT Math Mock Test - 4 - Question 10

Arc ABC subtends an angle of 130o at the centre O of the circle. AB is extended to P. Then ∠CBP equals :

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 10

NVS TGT Math Mock Test - 4 - Question 11

The value of    is

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 11

we know sin(90 - a) = cos(a) 

cos(90 - a) = sin(a)

sin(a) = 1/cosec(a)

sec(a) = 1/cos(a)

 

cos40 = cos(90-50) = sin50

cosec40 = cosec(90-50) = sec50

so our expression becomes

sin50/sin50 + sec50/sec50 - 4cos50 / sin40

= 1 + 1 - 4(1)   since cos50 = sin40

= -2

NVS TGT Math Mock Test - 4 - Question 12
Looking whether the tasks are completed and goals are achieved- it is commonly termed as:
Detailed Solution for NVS TGT Math Mock Test - 4 - Question 12

The correct answer is Performance Evaluation.

Key PointsThe activity of evaluating whether tasks are completed and goals are achieved is commonly termed as "Performance Evaluation" or "Performance Management." This process involves assessing the performance of individuals, teams, or organizations against predetermined objectives, standards, or benchmarks. Performance evaluation typically includes reviewing progress, identifying areas of strength and areas needing improvement, providing feedback, and making adjustments as necessary to ensure that goals are met effectively and efficiently. Performance evaluation is a fundamental aspect of management and organizational effectiveness, helping to drive continuous improvement and accountability within the organization.

Additional Information

  • Purpose: The primary purpose of performance evaluation is to assess the performance of individuals, teams, or entire organizations to determine how effectively they are meeting their goals and objectives. Performance evaluation provides valuable feedback that can be used to improve performance, identify areas for development, and make informed decisions about resource allocation and strategic planning.
  • Process: Performance evaluation typically involves a systematic process of setting performance objectives, monitoring progress, evaluating performance against predetermined criteria or standards, providing feedback, and making adjustments as necessary. This process may include various tools and methods such as performance appraisals, self-assessments, peer evaluations, and 360-degree feedback.
  • Criteria: Performance evaluation criteria may vary depending on the nature of the work and the goals of the organization. Common criteria include productivity, quality of work, adherence to deadlines, teamwork, communication skills, customer satisfaction, and adherence to organizational values or ethics.
  • Feedback: Effective performance evaluation provides timely and constructive feedback to individuals or teams about their performance. Feedback should be specific, objective, and focused on behaviors or outcomes that can be improved. Positive feedback can reinforce desired behaviors, while constructive criticism can help individuals identify areas for growth and development.
  • Performance Improvement: Performance evaluation is not only about assessing past performance but also about driving future improvement. It serves as a basis for setting goals, identifying training or development needs, and implementing strategies to enhance performance. By regularly evaluating performance and providing feedback, organizations can foster a culture of continuous improvement and accountability.
  • Legal and Ethical Considerations: Performance evaluation processes must be conducted in a fair, unbiased, and transparent manner to ensure legal compliance and protect the rights of employees. Evaluations should be based on job-related criteria and conducted without discrimination or favoritism. Confidentiality and privacy should also be maintained throughout the process.

Overall, performance evaluation is a vital management process that helps organizations assess, manage, and improve performance to achieve their goals and objectives effectively. It provides a mechanism for accountability, feedback, and continuous improvement, contributing to the success and sustainability of the organization

NVS TGT Math Mock Test - 4 - Question 13

DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : Common difference of an AP in which a21 -a7 = 84 is 14.

Reason : n th term of AP is given by an = a + (n - 1)d

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 13
We have, an = a + (n - 1)d

a21 -a7 = {a + (21 - 1)d}

- {a + (7 - 1)d} = 84

a + 20d- a - 6d = 84

14d = 84

d = 18/14 = 6

d = 6

So, A is incorrect but R is correct

NVS TGT Math Mock Test - 4 - Question 14

Circles having the same centre and different radii are called______.

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 14


Concentric circles are circles with a common center. The region between two concentric circles of different radii is called an annulus.
Any two circles can be made concentric by inversion by picking the inversion center as one of the limiting points.

NVS TGT Math Mock Test - 4 - Question 15

The side faces of a pyramid are

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 15
A pyramid is a polyhedron that has a base, which can be any polygon, and three or more triangular faces that meet at a point called the apex. These triangular sides are sometimes called the lateral faces to distinguish them from the base.
NVS TGT Math Mock Test - 4 - Question 16

Given that sinθ = a/b then cos θ is equal to

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 16

NVS TGT Math Mock Test - 4 - Question 17

The volume of the cylinder whose height is 14 cm and diameter of base 4 cm, is :

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 17

NVS TGT Math Mock Test - 4 - Question 18

Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : If one zero of poly-nominal p(x) = (k2 + 4)x2 + 13x + 4k is reciprocal of other, then k = 2.

Reason : If (x – a) is a factor of p(x), then p(a) = 0 i.e. a is a zero of p(x).

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 18
Let α, 1/α be the zeroes of p(x) then we have

Product of Zeroes

⇒ k2 – 4k + 4 = 0

⇒ (k – 2)2 = 0 ⇒ k = 2

NVS TGT Math Mock Test - 4 - Question 19

DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : Two identical solid cube of side 5 cm are joined end to end. Then total surface area of the resulting cuboid is 300 cm2 .

Reason : Total surface area of a cuboid is 2(lb + bh + lh)

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 19
When cubes are joined end to end, it will form a cuboid.

l = 2 x 5 = 10 cm , b = 5 cm

and h = 5 cm

Total surface area = 2(lb + bh + lh)

= 2(10 x 5 + 5 + 5 x 10 x 5)

= 2 x 125 = 250 cm2

NVS TGT Math Mock Test - 4 - Question 20

The expansion of (2a – 3b + 5c)2.

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 20

The expansion of (2a - 3b + 5c)² -: (2a)² + (- 3b)² + (5c)² + 2× 2a × (-3b) + 2× (-3b)× 5c + 2× 5c + 2a. = 4a² + 9b² + 25c² - 12ab - 30bc + 20ac

NVS TGT Math Mock Test - 4 - Question 21

If the circumference of a circle and the perimeter of a square are equal, then

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 21

Let the radius of the circle be r and side of the square be a.
Then, according to question,
2πr = 4a

Now, ratio of their areas,

Therefore, Area of the circle > Area of the square 

NVS TGT Math Mock Test - 4 - Question 22

2x + 4 = 3x + 1 will represent a.

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 22
2x+4=3x+1 2x-3x=1-4 -x=-3 x=3 Here x is positive.So it is in the right side and value of x is 3.So it is 3unit in right of y axis.
NVS TGT Math Mock Test - 4 - Question 23

The angle between the bisectors of two adjacent supplementary angles is :

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 23


NVS TGT Math Mock Test - 4 - Question 24

Direction: In the following question, the sentences have been given in Active/ Passive Voice. From the given alternatives, choose the one that best expresses the given sentence in Passive/ Active Voice.

My mother bakes cakes.

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 24

Use structure “subject + auxiliary + past participle + by + object”
As per the given above sentence is given in Passive Voice.
Cakes are baked by my mother.
Hence , option C will be correct answer .

NVS TGT Math Mock Test - 4 - Question 25

'सुधार करना' के लिए मुहावरा है:

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 25

सुधार करना 

मुहावरा - रास्ते पर लाना 

वाक्य - इस बिगड़े बच्चे को कोई कोई रास्ते पर ला दे तो एहसान मानूँगी।

NVS TGT Math Mock Test - 4 - Question 26

'भाग्य' का विलोम शब्द है:

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 26

'भाग्य' का विलोम शब्द 'दुर्भाग्य' होगा। 

भाग्य के पर्यायवाची शब्द 'किस्मत, होनी, विधि, नियति। 

'दुर्भाग्य' शब्द में विसर्ग संधि है 'दुः + भाग्य',जिसका अर्थ होता है बदकिस्मत। 

NVS TGT Math Mock Test - 4 - Question 27

"बच्चे बस से पाठशाला जाते हैं।" इस वाक्य में कौन सा कारक हैं?

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 27

"बच्चे बस से पाठशाला जाते है।" में करण कारक है।

संज्ञा आदि शब्दों के जिस रूप से क्रिया के करने के साधन का बोध हो अर्थात् जिसकी सहायता से कार्य संपन्न हो वह करण कारक कहलाता है। इसके हिन्दी पर्याय ‘से’ के ‘द्वारा’ है। जिसकी सहायता से कोई कार्य किया जाए, उसे करण कारक कहते हैं। जैसे – वह कलम से लिखता है। इस वाक्य में ‘कलम’ करण है, क्योंकि लिखने का काम कलम से किया गया है।

NVS TGT Math Mock Test - 4 - Question 28

निम्न में से कौन-सा शब्द निपात का उदाहरण नहीं है?

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 28

सही उत्तर "मैं" है।

  • दिए गए विकल्पों में, 'मैं' शब्द निपात का उदाहरण नहीं है।
  • 'मैं' शब्द 'उत्तम पुरुष सर्वनाम' है।
  • किसी भी बात पर अधिक भार देने के लिए जिन शब्दों का प्रयोग किया जाता है निपात कहलाता है।
  • जैसे- भी, तो, तक, केवल, ही, मात्र आदि।

Key Points

अन्य विकल्पों का विश्लेषण:

उदाहरण:

  • राधा ने मुझसे बात तक नहीं की।
  • कल से मैं भी आपके साथ स्कूल आऊंगा।
  • राम को आज रात रुकना ही पड़ सकता है।
  • उपरोक्त उदाहरणों में तक, ही, भी शब्द वाक्यों को बल दे रहे हैं।

Important Points

 

  • वे शब्द जिनमे लिंग, कारक, वचन, पुरुष आदि के कारण कोई विकार/ परिवर्तन उत्पन्न नहीं होता है, अव्यय शब्द कहलाते है।
  • जैसे – आज, कब, इधर, किन्तु आदि।
  • अव्यय के पांच भेद हैं

Additional Information

  • ​संज्ञा के स्थान पर प्रयुक्त होने वाले शब्दों कोसर्वनामकहते हैं।
  • जैसे - मैं, वह, वे, उन्हें, अपने तुम, हम आदि।
  • पुरुषवाचक सर्वनाम के प्रकार:
    • हिंदी में पुरुषवाचक सर्वनाम तीन प्रकार के होते है:
    • उत्तम पुरुष सर्वनाम- जिस सर्वनाम का प्रयोग वक्ता/बोलने वाला लिखने वाला खुद के बारे में बताने के लिए करता है।
    • जैसे: मैं, मुझे, मुझको, मेरा, मेरी, हमारी, हम, हमारा, हमें आदि।
    • मध्यम पुरुष सर्वनाम- जिस सर्वनाम का प्रयोग वक्ता सुनने वाले व्यक्ति के लिए करता है।
    • जैसे: तुम, तुमको, तुझे, तू, आप, आपने आदि।
    • अन्य पुरुष सर्वनाम- जिस सर्वनाम का प्रयोग वक्ता किसी तीसरे व्यक्ति के बारे में बताने के लिए करता है, तब इस सर्वनाम का प्रयोग होता है।
    • जैसे: यह, वह, ये, वे, आदि।
NVS TGT Math Mock Test - 4 - Question 29

दुर्बल' शब्द का विलोम लिखिए।

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 29

'दुर्बल' शब्द का विलोम है - 'सबल'

  • दुर्बल - जिसे अच्छा बल न हो, कमजोर, निर्बल। 
  • सबल - जिसमें शक्ति हो, बलशाली, बलवान। 

Key Pointsकर्मठ:-

  • अर्थ: अच्छी तरह काम करनेवाला।
    • विलोम शब्द - 'अकर्मठ'
    • अर्थ: कुशलतापूर्वक काम करने वाला, कर्मनिष्ठ।​

चुस्त:-

  • अर्थ: जो शिथिल, आलसी न हो, फ़ुर्तीला।
    • विलोम शब्द - 'सुस्त, ढीला'
    • अर्थ: जिसके शरीर में बल न हो। 
NVS TGT Math Mock Test - 4 - Question 30

इस अनुच्छेद का कोई उपयुक्त शीर्षक: 

Detailed Solution for NVS TGT Math Mock Test - 4 - Question 30

इस अनुच्छेद का कोई उपयुक्त शीर्षक - 'भक्ति आन्दोलन'

  • गद्यांश के अनुसार:-
    • भक्ति आन्दोलन की विशेषताओं का वर्णन किया है।

Key Points

  • आन्दोलन - इधर से उधर आना-जाना, झूलना।

Additional Informationनिर्गुण:-

  • अर्थ: जिसमें कोई अच्छा गुण न हो।

सगुण:-

  • अर्थ: गुण वाला, गुणयुक्त।
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