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NVS TGT Math Mock Test - 6 - NVS TGT/PGT MCQ


Test Description

30 Questions MCQ Test - NVS TGT Math Mock Test - 6

NVS TGT Math Mock Test - 6 for NVS TGT/PGT 2025 is part of NVS TGT/PGT preparation. The NVS TGT Math Mock Test - 6 questions and answers have been prepared according to the NVS TGT/PGT exam syllabus.The NVS TGT Math Mock Test - 6 MCQs are made for NVS TGT/PGT 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for NVS TGT Math Mock Test - 6 below.
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NVS TGT Math Mock Test - 6 - Question 1

Directions: Each of the following consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.

Six persons from U to Z are sitting around a circular table and facing towards the centre such that Y is second to the right of Z, who is third to the left of W. Z is on the immediate right of V. Who sits second to the right of U?
Statement I: X is not adjacent to Z.
Statement II: Y is the second to the left of X.

Detailed Solution for NVS TGT Math Mock Test - 6 - Question 1

Checking Statement I:

Using the above reference, we get the following arrangement:


Clearly, W is sitting second to the right of U.

Hence data in statement I is sufficient to answer the question.

Checking Statement II:

Using the above references, we get the following arrangement:


Clearly, W is sitting second to the right of U.

Hence data in statement II is sufficient to answer the question.

Here, the data in either Statement I or II alone is sufficient to answer the question.

Hence, Option C is correct.

NVS TGT Math Mock Test - 6 - Question 2

Which answer figure will complete the pattern in the question figure?

Detailed Solution for NVS TGT Math Mock Test - 6 - Question 2

NVS TGT Math Mock Test - 6 - Question 3

To select all the boxes of an organization chart,

Detailed Solution for NVS TGT Math Mock Test - 6 - Question 3

To select all the boxes of an organization chart, you can follow any of the following methods:
Method A: Click Edit, Select All
- Click on the "Edit" option in the menu bar.
- Select the "Select All" option from the drop-down menu.
- This will select all the boxes in the organization chart.
Method B: Right-click the Chart Background, Click Select All
- Right-click on the background of the organization chart.
- From the context menu that appears, select the "Select All" option.
- This will select all the boxes in the organization chart.
Method C: Press and Hold the Shift Key and Click Each Box
- Press and hold the Shift key on your keyboard.
- Click on each box in the organization chart while still holding the Shift key.
- This will select each box one by one.
Method D: All of These
- All of the above methods (A, B, and C) can be used to select all the boxes in an organization chart.
Note: The specific method to select all the boxes in an organization chart may vary depending on the software or tool you are using to create the chart. The methods mentioned above are general approaches that are commonly used in various chart-making applications.
NVS TGT Math Mock Test - 6 - Question 4

A dot matrix printer
(i) prints an entire line at time
(ii) is a non-impact printer
(iii) allows multiple copies to be taken at a time
(iv) prints one character at a time 

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

A dot matrix printer is a type of printer that uses a matrix of small pins to create characters or images on paper. Let's analyze each statement to determine the correct answer:
i) Prints an entire line at a time: This statement is incorrect. A dot matrix printer prints one character at a time by striking an ink-soaked ribbon against the paper. It does not print an entire line at a time.
ii) Is a non-impact printer: This statement is incorrect. A dot matrix printer is an impact printer because it uses physical force to create the characters. The pins strike the ribbon, which transfers ink to the paper, resulting in the printed output.
iii) Allows multiple copies to be taken at a time: This statement is correct. Dot matrix printers have the ability to create multiple copies simultaneously. This is achieved by using carbon paper or carbonless paper, which allows the impact of the pins to transfer the image to multiple layers of paper.
iv) Prints one character at a time: This statement is correct. Dot matrix printers operate by individually striking pins against an ink-soaked ribbon to create characters. Each pin represents one dot, and the combination of dots forms the characters or images on the paper.
Based on the analysis above, the correct answer is C: iii and iv. A dot matrix printer allows multiple copies to be taken at a time and prints one character at a time.
NVS TGT Math Mock Test - 6 - Question 5

A laser printer
(i) prints an entire line at a time
(ii) is a non-impact printer
(iii) allows multiple copies to be taken at a time
(iv) prints one character at a time 

Detailed Solution for NVS TGT Math Mock Test - 6 - Question 5

Introduction:
In this question, we are asked to identify the characteristics of a laser printer. We need to choose the correct options from the given choices.
Characteristics of a laser printer:
A laser printer is a type of printer that uses laser technology to produce high-quality prints. Let's analyze each statement given in the question and determine its accuracy:
1. Prints an entire line at a time:
- This statement is true. Laser printers use a process called "electrophotography" or "xerography" to print an entire line at a time. This process involves the use of a laser beam to create an electrostatic image of the entire line on a photosensitive drum.
- Correct
2. Non-impact printer:
- This statement is true. Laser printers are non-impact printers, which means they do not require direct contact between the print head and the paper to create an image. Instead, they use a laser beam to transfer toner onto the paper.
- Correct
3. Allows multiple copies to be taken at a time:
- This statement is false. Laser printers generally do not allow multiple copies to be taken at a time. However, some advanced laser printers may have features like duplex printing or collating, which can produce multiple copies in a single print job.
- Incorrect
4. Prints one character at a time:
- This statement is false. Laser printers do not print one character at a time. As mentioned earlier, they print an entire line at a time using a laser beam and electrostatic imaging.
- Incorrect
Conclusion:
Based on the analysis, we can conclude that the correct characteristics of a laser printer are:
- Prints an entire line at a time
- Non-impact printer
Therefore, the correct answer is (A) i and ii.
NVS TGT Math Mock Test - 6 - Question 6

How should a teacher introduce a new topic in the class?

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

The teacher should provide an overview of the main points before launching into the body of the speech. This tunes the mind of the students to capture information, which the teacher is about to provide to the students. The overview helps creating interest in the subject being taught, and the student anticipates things which he is about to learn, along with the combination of his previous knowledge and experience.

NVS TGT Math Mock Test - 6 - Question 7

In the given figure, if ∠OAB = 40o then ∠ACB is equal to:

Detailed Solution for NVS TGT Math Mock Test - 6 - Question 7

In triangle OAB

OA = OB (radius of a circle)

∠OAB = ∠OBA

∠OBA = 40º (angles opposite to equal sides are equal)

Using the angle sum property

∠AOB + ∠OBA + ∠BAO = 180º

Substituting the values

∠AOB + 40º + 40º = 180º

By further calculation

∠AOB + 80º = 180º

∠AOB = 180º - 80º

∠AOB = 100º

As the angle subtended by an arc at the centre is twice the angle subtended by it at the remaining part of the circle

∠AOB = 2 ∠ACB

Substituting the values

100º = 2 ∠ACB

Dividing both sides by 2

∠ACB = 50º

Therefore, ∠ACB is equal to 50º.

NVS TGT Math Mock Test - 6 - Question 8

Solve x + 4y = 14 .....(i)

7x - 3y = 5 ....(ii)

Detailed Solution for NVS TGT Math Mock Test - 6 - Question 8

Solution: From equation (i) x = 14 - 4y ....(iii)

Substitute the value of x in equation (ii)

⇒ 7 (14 - 4y) - 3y = 5

⇒ 98 - 28y - 3y = 5

⇒ 98 - 31y = 5

⇒ 93 = 31y

⇒ y = 93/31

⇒ y = 3

Now substitute value of y in equation (iii)

⇒ 7x - 3 (3) = 5

⇒ 7x - 3 (3) = 5

⇒ 7x = 14

⇒ x = 14/7 = 2

So the solution is x = 2 and y = 3

NVS TGT Math Mock Test - 6 - Question 9

The area of the circle that can be inscribed in a square of side 10cm is

Detailed Solution for NVS TGT Math Mock Test - 6 - Question 9

Since if a circle inscribed a square. then the radius of the circle is half of to side of square.
∴  Radius = 10/2 = 5 cm
∴ Area of the circle = πr2 = π(5)2 = 25π sq. cm 

NVS TGT Math Mock Test - 6 - Question 10

Ram and Shyam are friends. The probability that both will have the same birth day is

Detailed Solution for NVS TGT Math Mock Test - 6 - Question 10

Ignoring a leap year, both Ram and Shyam can have any day of the year as their birthday. 
∴ Total number of possible ways in which their birthday can fall = 
Also they can share the same birthday falls on same date = 365
∴ Required Probability 

NVS TGT Math Mock Test - 6 - Question 11

The top of a broken tree has its top touching the ground at a distance of 10m from the bottom. If the angle made by the broken part with the ground is 30°, then the length of the broken part is

Detailed Solution for NVS TGT Math Mock Test - 6 - Question 11

Let AB be the broken part of the tree.

Therefore, the length of the broken part of the tree is 20/√3 meters.

NVS TGT Math Mock Test - 6 - Question 12

If one zero of polynomial f(x) = (k2 + 4)x2 + 13x + 4k is reciprocal of the other, then k =

Detailed Solution for NVS TGT Math Mock Test - 6 - Question 12

NVS TGT Math Mock Test - 6 - Question 13

Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer as

Assertion : Given a circle of radius r and with centre O. A point P lies in a plane such that OP > r then point P lies on the exterior of the circle.

Reason : The region between an arc and the two radii, joining the centre of the end points of the arc, is called a sector.

Detailed Solution for NVS TGT Math Mock Test - 6 - Question 13
A sector is region which lies between an arc and two radii joining the extremities of the arc and the centre.

The shaded region denotes the sector of a circle. The unshaded part is also a sector.

Notice that it is enclosed by two radii and an arc.

NVS TGT Math Mock Test - 6 - Question 14

The value of tan1°.tan2°.tan3°………. tan89° is :

Detailed Solution for NVS TGT Math Mock Test - 6 - Question 14

tan 1.tan 2.tan 3...tan (90 - 3 ).tan ( 90 - 2 ).tan ( 90 - 1) 
=tan 1.tan 2 .tan 3...cot 3.cot 2.cot 1 
=tan 1.cot 1.tan 2.cot 2.tan 3.cot 3 ... tan 89.cot 89 
1 x 1 x 1 x 1 x ... x 1 =1

NVS TGT Math Mock Test - 6 - Question 15

The number of polynomials having zeroes as -2 and 5 is

Detailed Solution for NVS TGT Math Mock Test - 6 - Question 15

 

⇒ p(x) = x2−3x−10
But we know that, if we multiply or divide any polynomial by any arbitrary constant. Then, the zeroes of the polynomial never change.
Therefore,

p(x)=kx2−3kx−10

 Where,k is a real number

Hence, the required number of polynomials having zeros −2 and 5 are infinite i.e. more than 3.

NVS TGT Math Mock Test - 6 - Question 16

Sohan draws a gate of a temple on the graph paper. He has following points :

(– 1, 0), (1, 0), (1, 1), (– 1, 1) and (0, 2)

Q. Which point from the following lies on Y-axis ?

Detailed Solution for NVS TGT Math Mock Test - 6 - Question 16
On Y-axis, x-co-ordinate is zero.
NVS TGT Math Mock Test - 6 - Question 17

If b2 - 4ac = 0 then The roots of the Quadratic equation ax2 + bx + c = 0 are given by :

Detailed Solution for NVS TGT Math Mock Test - 6 - Question 17

Formula for finding the roots of a quadratic equation is

So since 
b- 4ac = 0, putting this value in the equation

So there are repeated roots

NVS TGT Math Mock Test - 6 - Question 18

Which of the following is not a quadratic equation?

Detailed Solution for NVS TGT Math Mock Test - 6 - Question 18


2x+ 3 + 2√6x + x2 = 3x2 - 5x
3 + 2√6x + 5x= 0

Which is not a quadratic equation.

NVS TGT Math Mock Test - 6 - Question 19
Learning disabilities related to mathematics are generally found in:
Detailed Solution for NVS TGT Math Mock Test - 6 - Question 19

Learning disability refers to a neurological disorder that causes cognitive impairment. Dyslexia, dysgraphia, dyscalculia, etc are the most common learning disability.

'Dyscalculia' is a type of mathematics-related learning disability which:

  • hinders learner's basic understanding of numbers.
  • affects learner's ability to perform mathematical calculations.
  • makes learners unable in identifying mathematical symbols like +, ×,>, etc.

Key Points

Learning disabilities related to mathematics:

  • It is intrinsic and due to central nervous system dysfunction.
  • It is a variable state which can be addressed by appropriate comprehensible input.
  • It can't be attributed to cultural deprivation as it can present in children of any culture.
  • It can't be attributed to educational deprivation as it can also present in children with average or above-average IQ.
  • It is generally found in children whose parental relatives have such problems as it can passed from one generation to another.

Hence it could be concluded that learning disabilities related to mathematics are generally found in those children whose parental relatives have such problems.

NVS TGT Math Mock Test - 6 - Question 20

Solution of a quadratic equation x²+ 5x - 6 = 0

Detailed Solution for NVS TGT Math Mock Test - 6 - Question 20

⇒ x²+ 5x - 6 = 0

⇒ x²+ 6x -x - 6 = 0

⇒ x(x+6) -1(x+6) = 0

⇒ (x-1) (x+6) = 0

⇒ x = 1, -6

 

NVS TGT Math Mock Test - 6 - Question 21

Consider the following distribution

the frequency of the class 30-40 is

Detailed Solution for NVS TGT Math Mock Test - 6 - Question 21

NVS TGT Math Mock Test - 6 - Question 22

The LCM of two numbers is 1200. Which of the following cannot be their HCF?

Detailed Solution for NVS TGT Math Mock Test - 6 - Question 22

NVS TGT Math Mock Test - 6 - Question 23

If α and β are the zeros of the polynomial f(x) = 15x2 – 5x + 6 then is equal to –

Detailed Solution for NVS TGT Math Mock Test - 6 - Question 23

The correct answer is a.

From the polynomial we get,

α + β = - b/a = -(-5/15) = 1/3

αβ = c/a = (6/15) = 2/5

To find: (1+1/α) (1+1/β)...... (taking L.C.M) 

= (α+1/α) (β+1/β) ....(simplifying brackets)

= αβ + α + β + 1 / αβ

=( 2/5 + 1/3+ 1)  /  2/5 

=26/15 X 5/2 = 13/3

NVS TGT Math Mock Test - 6 - Question 24

Choose the correct option to mark  the synonym of the words given in the question.

Diatribe

Detailed Solution for NVS TGT Math Mock Test - 6 - Question 24
Synonym of Diatribe: - The correct option is: B: Tirade. Explanation: - Both "diatribe" and "tirade" refer to a long, angry, and critical speech or piece of writing that strongly criticizes someone or something. - The other options are not synonyms of "diatribe" for the following reasons: - A: Debate refers to a formal discussion on a specific topic in which opposing arguments are put forward. - C: Monologue refers to a long speech by one person, especially in a play, movie, or as part of a theatrical performance. - D: Oration refers to a formal, usually ceremonial, speech delivered in public.
NVS TGT Math Mock Test - 6 - Question 25

No word must ever leak out about this plan! It has to be a clandestine operation in order to succeed. Which word is a synonym of "clandestine"?

Detailed Solution for NVS TGT Math Mock Test - 6 - Question 25

Clandestine means kept secret or done secretively, especially because illicit

The clandestine meeting took place in his house in the dead of night
The retailers also engaged in clandestine hoarding of pulses to artificially increase its price

NVS TGT Math Mock Test - 6 - Question 26

छाती पर मूंग दलना का अर्थ है -

NVS TGT Math Mock Test - 6 - Question 27

'चतुराई' शब्द में कौन-सा प्रत्यय है?

Detailed Solution for NVS TGT Math Mock Test - 6 - Question 27

'चतुराई' शब्द में 'आई' प्रत्यय है।

  • 'चतुराई' में 'आई' प्रत्यय जुड़ा है। यहाँ 'चतुर' मूल शब्द है।
    • चतुर + आई = चतुराई
  • ​‘चतुराई’ कृत प्रत्यय (कृदन्त प्रत्यय) शब्द है।
  • आई प्रत्यय से बनने वाले कुछ शब्द -
    • पढ़ + आइ = पढ़ाई
    • मेल + आइ = मिलाई
    • सिल + आइ = सिलाई

Important Points

  • प्रत्यय शब्द के अंत में जुड़ते हैं और ये पूर्ण रूप से अर्थ नहीं बदलते ये मूल शब्द के इर्द-गिर्द ही रहते हैं।
  • उदाहरण :- ना = चलना, य = गेय, आई = मिठाई, ला = निचला आदि।
    • प्रत्यय के दो प्रकार होते हैं :-
      • कृत् प्रत्यय (अक, अन, अना, अनीय, आ, आई, आन, इ, इया, इत)
      • तद्धित प्रत्यय (आई, आइन, आई, आनी, आयत, आर/आरा, आहट, इल, इष्ठ, ई)

NVS TGT Math Mock Test - 6 - Question 28
किस विकल्प के सभी शब्द शुद्ध हैं?
Detailed Solution for NVS TGT Math Mock Test - 6 - Question 28

'निरपराध, उच्छ्वास, उच्छृंखल' आदि सभी शब्‍द शुद्ध रूप में लिखें गये हैं। Key Points

अन्‍य विकल्‍प

Additional Information

NVS TGT Math Mock Test - 6 - Question 29

समाचारों की सर्वोत्तम जानकारी का साधन क्या हैं?

Detailed Solution for NVS TGT Math Mock Test - 6 - Question 29

समाचारों की सर्वोत्तम जानकारी का साधन समाचार पत्र हैं।

  •  गद्यांश के अनुसार:-
    •  समाचार पत्र समाचारों की जानकारी के सर्वोत्तम साधन हैं। रेडियो और टेलीविज़न से समाचारों की जानकारी मिल जाती है परंतु उन्हें जानने का समय निर्धारित होता है। 

Key Pointsसमाचार पत्र:-

  • समाचार पत्र या अख़बार, समाचारों पर आधारित एक प्रकाशन है,
  • जिसमें मुख्यत: सामयिक घटनायें, राजनीति, खेल-कूद, व्यक्तित्व, विज्ञापन इत्यादि जानकारियां सस्ते कागज पर छपी होती है।
  • समाचार पत्र संचार के साधनो में महत्वपूर्ण स्थान रखते हैं। समाचारपत्र प्रायः दैनिक होते हैं लेकिन कुछ समाचार पत्र साप्ताहिक, पाक्षिक, मासिक एवं छमाही भी होतें हैं।
  • अधिकतर समाचारपत्र स्थानीय भाषाओं में और स्थानीय विषयों पर केन्द्रित होते हैं।

Additional Informationटी.वी:-

  • दूरदर्शन या टेलीविज़न (संक्षेप मे , टीवी) एक ऐसी दूरसंचार प्रणाली है
  • जिसके द्वारा चलचित्र ध्वनि को दो स्थानों के बीच प्रसारितप्राप्त किया जा सके।
  • यह शब्द दूरदर्शन सेट, दूरदर्शन कार्यक्रम तथा प्रसारण के लिये भी प्रयुक्त होता है।
  • टेलीविज़न का आविष्कार 1944 में अमेरिका के वैज्ञानिक जॉन लॉगी बेयर्ड ने किया था।
  • भारत में सर्वप्रथम टेलीविज़न का प्रयोग 15 सितम्बर, 1959 को दिल्ली में दूरदर्शन केन्द्र की स्थापना के साथ हुआ।
  • इसका व्यापक प्रसार 1982 में भारत में आयोजित एशियाड खेलों के आयोजन से हुआ।

रेडियो:-

  • रेडियो एक ऐसा माध्यम है जिसमें हर वर्ग के लोगों के लिये सूचना, जानकारी से लेकर मनोरंजन तक सभी तरह के प्रोग्राम का प्रसारण किया जाता है। 
  • रेडियो के आविष्कारक मारकोनी ने जब पहली बार इटली में 1895 रेडियो सिग्नल भेजा और उसे सुना तो भविष्य का इतिहास वहीं अंकित हो गया था।
  • जुलाई 1923 में जब भारत पर ब्रिटिश का राज था उसी समय भारत में रेडियो प्रसारण की बात शुरू हुई
  • जो 23 जुलाई 1927 को बम्बई में (आज का मुम्बई) इंडियन ब्रॉडकास्टिंग कंपनी के नाम से शुरू हुई,
  • 26 अगस्त 1927 को कलकत्ता से (आज का कोलकाता) भी रेडियो प्रसारण शुरू हो गए।

मेगज़ीन:-

  • वह पत्रिका जिसमें विविध विषयों पर लेख, कविताएँ, कहानियाँ आदि प्रकाशित होती हैं।
NVS TGT Math Mock Test - 6 - Question 30

उपर्युक्त गद्यांश का शीर्षक होगा?

Detailed Solution for NVS TGT Math Mock Test - 6 - Question 30

उपर्युक्त गद्यांश का शीर्षक होगा- समाचार पत्रों का महत्व

  •  गद्यांश के अनुसार:-
    • ​समाचार-पत्र सूचना का विश्वसनीय सस्ता और सहज उपलब्ध साधन है। तथा पूरे गद्यांश में ​समाचार-पत्रों के महत्व का ही वर्णन है। 

Key Pointsसमाचार पत्र:-

  • समाचार पत्र या अख़बार, समाचारों पर आधारित एक प्रकाशन है,
  • जिसमें मुख्यत: सामयिक घटनायें, राजनीति, खेल-कूद, व्यक्तित्व, विज्ञापन इत्यादि जानकारियां सस्ते कागज पर छपी होती है।
  • समाचार पत्र संचार के साधनो में महत्वपूर्ण स्थान रखते हैं। समाचारपत्र प्रायः दैनिक होते हैं लेकिन कुछ समाचार पत्र साप्ताहिक, पाक्षिक, मासिक एवं छमाही भी होतें हैं।
  • अधिकतर समाचारपत्र स्थानीय भाषाओं में और स्थानीय विषयों पर केन्द्रित होते हैं।

Additional Informationमेगज़ीन:-

  • वह पत्रिका जिसमें विविध विषयों पर लेख, कविताएँ, कहानियाँ आदि प्रकाशित होती हैं।

टी.वी:-

  • दूरदर्शन या टेलीविज़न (संक्षेप मे , टीवी) एक ऐसी दूरसंचार प्रणाली है
  • जिसके द्वारा चलचित्र व ध्वनि को दो स्थानों के बीच प्रसारित व प्राप्त किया जा सके।
  • यह शब्द दूरदर्शन सेट, दूरदर्शन कार्यक्रम तथा प्रसारण के लिये भी प्रयुक्त होता है।
  • टेलीविज़न का आविष्कार 1944 में अमेरिका के वैज्ञानिक जॉन लॉगी बेयर्ड ने किया था।
  • भारत में सर्वप्रथम टेलीविज़न का प्रयोग 15 सितम्बर, 1959 को दिल्ली में दूरदर्शन केन्द्र की स्थापना के साथ हुआ।
  • इसका व्यापक प्रसार 1982 में भारत में आयोजित एशियाड खेलों के आयोजन से हुआ।

रेडियो:-

  • रेडियो एक ऐसा माध्यम है जिसमें हर वर्ग के लोगों के लिये सूचना, जानकारी से लेकर मनोरंजन तक सभी तरह के प्रोग्राम का प्रसारण किया जाता है। 
  • रेडियो के आविष्कारक मारकोनी ने जब पहली बार इटली में 1895 रेडियो सिग्नल भेजा और उसे सुना तो भविष्य का इतिहास वहीं अंकित हो गया था।
  • जुलाई 1923 में जब भारत पर ब्रिटिश का राज था उसी समय भारत में रेडियो प्रसारण की बात शुरू हुई
  • जो 23 जुलाई 1927 को बम्बई में (आज का मुम्बई) इंडियन ब्रॉडकास्टिंग कंपनी के नाम से शुरू हुई,
  • 26 अगस्त 1927 को कलकत्ता से (आज का कोलकाता) भी रेडियो प्रसारण शुरू हो गए।
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