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NVS PGT Mathematics Mock Test - 1 - NVS TGT/PGT MCQ


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30 Questions MCQ Test - NVS PGT Mathematics Mock Test - 1

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

Excessive consumption of alcoholic drinks causes damage to the

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 1

The correct answer is Liver.

Key Points

  • Excessive consumption of alcoholic drinks causes damage to the Liver.
    • Alcohol is readily absorbed from the digestive tract, and up to 98% is metabolised in the liver.
    • Each liver cell contains three pathways for alcohol metabolism.
    • All of these result in the production of a highly toxic metabolite which can contribute to liver cell damage.
    • With regular alcohol use, the regenerative ability of liver cells may be inhibited and lead to sustained liver damage.
    • Long term heavy alcohol use may lead to fat accumulation in the liver, which may progress to alcoholic hepatitis, or liver cirrhosis.
    • Over time, excessive alcohol use can lead to the development of chronic diseases and other serious problems including -
      • High blood pressure, heart disease, stroke, liver disease, and digestive problems. 

Additional Information

  • Kidney:
    • Healthy kidneys remove wastes and extra fluid from your blood.
    • But when your kidneys fail, wastes and extra fluid can build up in your blood and make you feel sick. 
    • Kidneys can become damaged from a physical injury or a disease like diabetes, high blood pressure, or other disorders.
    • High blood pressure and diabetes are the two most common causes of kidney failure.
    • Kidney failure does not happen overnight.
  • Lungs:
    • Chronic alcohol abuse and heavy drinking can greatly increase the risk of several pulmonary conditions.
      • including lung disease, alcoholic pneumonia, acute lung injury, and acute respiratory distress syndrome.
    • Smokers are more likely than nonsmokers to develop heart disease, stroke, and lung cancer.
      • Smoking can cause lung disease by damaging your airways and the small air sacs (alveoli) found in your lungs.
      • Lung diseases caused by smoking include COPD, which includes emphysema and chronic bronchitis.
  • Heart:
    • Smokers are at greater risk for diseases that affect the heart and blood vessels.
    • Increases in your blood pressure can also be caused by weight gain from excessive drinking.
    • Heavy drinking weakens the heart muscle, which means the heart can't pump blood as efficiently.
      • It's is known as cardiomyopathy and can cause death, usually through heart failure.
NVS PGT Mathematics Mock Test - 1 - Question 2

Amit is twice as good as Ramit. Working together they can complete the work in 28 days. In how many days can Ramit alone can do the same whole work?

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 2

Given:

Efficiency of Amit = 2 × Efficiency of Ramit

Concept used:

Total work = Efficiency × Time period

Calculation:

The efficiency of Amit = 2

Efficiency of Ramit = 1

Total work = (2 + 1) × 28 = 3 × 28 = 84

Number of days Ramit takes to complete the whole work = 84/1 = 84

∴ The number of days in Ramit will complete the work is 84 days.

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NVS PGT Mathematics Mock Test - 1 - Question 3

Study the figures in given matrix and find out the answer figure which completes the problem figure matrix.

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 3

The pattern followed is,

In the first row,

The first figure is surrounded by two circles.

The second figure is surrounded by one circle.

The third figure is not surrounded by any circle.

In the second row,

The first figure is surrounded by one square.

The second figure is not surrounded by any square.

 In the third figure there is no outline.

In the third row,

The first figure is surrounded by two triangles.

The second figure is surrounded by one triangle.

And,

The third figure should not be surrounded by any triangle.

The correct image that fits is,

Hence, option 3 is the correct answer.

NVS PGT Mathematics Mock Test - 1 - Question 4

In the following question number of triangle are

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 4

 

The main triangle shown is in the given figure and this the total no. of triangle is 15. remaing triangle we can find out in the drawing the triangle in the image.

NVS PGT Mathematics Mock Test - 1 - Question 5
Which of the following is not a valid function in MS Excel?
Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 5

The correct answer is SUBTRACT().

Key Points

SUBTRACT() is not a valid function in MS Excel

Subtract two or more numbers in a cell :

1. Click any blank cell, and then type an equal sign (=) to start the formula.

2. After the equal sign, type a few numbers that are separated by a minus sign (-).

for example, 100-50-30.

3. Press RETURN, then the result is 20.

Additional Information

SUM()

  • The SUM() adds values.
  • You can add individual values, cell references or ranges, or a mix of all three.
  • For example: =SUM(A2:A10) Adds the values in cells A2:10.
  • COUNTA - It will allow you to evaluate any gaps the dataset might have without having to reorganize the data.

COUNT()

  • The COUNT() is generally used to count a range of cells containing numbers or dates excluding blanks

COUNTA()

COUNTA() will count everything as numbers, dates, text, or a range containing a mixture of these items, but does not count blank cells. COUNTA stands for the count all.

NVS PGT Mathematics Mock Test - 1 - Question 6
The main screen area that you see after you turn on your computer is :
Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 6

The correct answer is Desktop.

Key Points

  • The desktop is the main screen area that you see after you turn on your computer and log on to Windows.
  • Like the top of an actual desk, it serves as a surface for your work.
  • When you open programs or folders, they appear on the desktop.
  • The desktop is the primary user interface of a computer.
  • It includes the desktop background (or wallpaper) and icons of files and folders you may have saved to the desktop.
  • In Windows, the desktop includes a taskbar, which is located at the bottom of the screen by default.

Additional Information

  • The Start menu is a graphical user interface element used in Microsoft Windows since Windows 95 and in some other operating systems.  
  • A file manager or file browser is a computer program that provides a user interface to manage files and folders. 
  • An operating system is system software that manages computer hardware, software resources, and provides common services for computer programs.
NVS PGT Mathematics Mock Test - 1 - Question 7

The instructions provided by the teacher must be based on a child's

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 7

The instructions of a teacher must be based on the child's abilities, aptitude and interest. His ability to grasp and apply things, his natural ability to justify learning and his interest to learn a particular thing could decide the teaching strategies, as the education these days has become more child-centered. The teacher must be aware of the child's abilities, aptitude, and interest, which is possible only through proper evaluation.

NVS PGT Mathematics Mock Test - 1 - Question 8

The triangle PQR is inscribed in the circle x2 + y2 = 25. If Q and R have coordinates (3, 4) and (–4, 3) respectively, then ∠QPR may be equal to

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 8



(i.e. angle subtended at the centre of a circle is double the angle subtended in the alternate segment).
Hence (c) is the correct answer.

NVS PGT Mathematics Mock Test - 1 - Question 9

If the two circles (x - 1)2 + (y - 3)2 = r2 and x2 + y2 - 8x + 2y + 8 = 0 intersect in two distinct points, then

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 9

C1C2 < r1+ r2

NVS PGT Mathematics Mock Test - 1 - Question 10

solution of {x cos (y/x) + ysin(y/x)} ydx = {ysin(y/x) - x cos (y/x)} xdy is 

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 10




NVS PGT Mathematics Mock Test - 1 - Question 11

If A = {1, 3, 4} and B = {1, 4, 3, 2} then which of the following is true?

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 11

All the elements in set-A are presented in set-B. So "A" is a subset of "B".

NVS PGT Mathematics Mock Test - 1 - Question 12

In how many ways, a party of 5 men and 5 women be seated at a circular table, so that no two women are adjacent?

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 12

Lets first place the men (M). '*' here indicates the linker of round table
 
* M -M - M - M - M *
which is in (5-1)! ways
So we have to place the women in between the men which is on the 5 empty seats ( 4 -'s and 1 linker i.e * )
So 5 women can sit on 5 seats in (5)! ways or
1st seat in 5 ways
2nd seat 4
3rd seat 3
4th seat 2
5th seat 1
i.e 5*4*3*2*1 ways
So the answer is 5! * 4! = 2880

NVS PGT Mathematics Mock Test - 1 - Question 13

The number of all possible matrices of order 2 × 2 with each entry 0 or 1 is:

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 13

The number of possible entries of 2 × 2 matrix is 4 Every entry has two choice, 0 or 1.

Thus, the total no. of choices is,

2 × 2 × 2 × 2 = 24

= 16

NVS PGT Mathematics Mock Test - 1 - Question 14

The function f : R → R defined by y = f(x) = 5 for each x ∈ R is

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 14

Constant Function is defined as the real valued function.
f: R→R, y = f(x) = c for each x∈R and c is a constant.
So ,this function basically associate each real number to a constant value.
It is a linear function where f(x1) = f(x2) for all x1,x∈R

NVS PGT Mathematics Mock Test - 1 - Question 15

If a be the radius of a circle which touches x-axis at the origin, then its equation is

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 15

The equation of the circle  with centre at (h,k) and radius equal to a is (x−h)+(y−k)= a2
 When the circle passes through the origin  and centre lies on x− axis 
⇒h = a and k = 0
Then the equation (x−h)2+(y−k)2=abecomes (x−a)2+y2=a2
If a circle passes through the origin and centre lies on x−axis then the abscissa will be equal to the radius of the circle and the y−co-ordinate of the centre will be zero Hence, the equation of the circle will be of the form 
(x±a)2+y2=a2⇒x2+a±2ax+y2=a2
=x2 +y±2ax=0 is the required equation of the circle.

NVS PGT Mathematics Mock Test - 1 - Question 16

is a vector joining two points P(x1, y1, z1) and Q(x2, y2, z2). If  Direction cosines of  are

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 16

is a vector joining two points P(x1, y1, z1) and Q(x2, y2, z2). If  Direction cosines of  are given by : 

NVS PGT Mathematics Mock Test - 1 - Question 17

 is equal to 

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 17

We have:
limx→0 ln(1+ax)]/x=a
lim x→0 ln(1+ax)/ax=a
and then:
lim x→0 [ln(1+ax)-ln(1+bx)]/x
= a-b

NVS PGT Mathematics Mock Test - 1 - Question 18

A lady wants to select one cotton saree and one polyster saree from a textile shop. If there are 15 cotton and 13 polyster varieties in that shop, in how many ways can she pick up two sarees?

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 18

The lady can select one cotton saree out of 15 cotton varieties in 15 ways since
any of 15 varieties can be selected. Corresponding to each selection of a cotton saree, she can
choose a polyester saree in 13 ways. Hence the two sarees (one cotton and one polyester), by
multiplication principle of counting, can be selected in 15 x 13= 195 ways

NVS PGT Mathematics Mock Test - 1 - Question 19

For all complex numbers z1 ,z2 satisfying |z1| = 12 and |z2 - 3 - 4i| = 5 , the minimum value of  |z1 -z2| is 

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 19

Minimum value of |z1 - z2| = 12 - 10 = 2

NVS PGT Mathematics Mock Test - 1 - Question 20

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 20

NVS PGT Mathematics Mock Test - 1 - Question 21

If A = {2, 4} and B = {5, 6} then (A x B) ∪ Φ will be:

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 21

A = {2, 4}
B = {5, 6} 
A x B = {(2, 5), (2, 6), (4, 5), (4, 6)}
(A x B) U Φ = A x B = {(2, 5), (2, 6), (4, 5), (4, 6)}

NVS PGT Mathematics Mock Test - 1 - Question 22

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 22


Apply , C1 → C1 - C2, C2 → C2 - C3,

Because here row 1 and 2 are identical

NVS PGT Mathematics Mock Test - 1 - Question 23

The three arithmetic mean between – 2 and 10 are:

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 23

NVS PGT Mathematics Mock Test - 1 - Question 24

 Let f(x) = [n + p sin x], x ∈ (0, π), n ∈ I and p is a prime number. Then number of points where f(x) is not differentiable is (where [ * ] denotes greatest integer function)

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 24

NVS PGT Mathematics Mock Test - 1 - Question 25

The term 'Curriculum' in the field of education refers to:

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 25

The term 'Curriculum' within the field of education refers to the overall program of the varsity which students experience on a day-to-day basis. It is a planned sequence of instruction in terms of educator's and school's instructional goals. as a gaggle of learning goals. It is attached across grades that outline the intended mathematics content and process goals at particular points in time throughout the K–12 school program.
Hence, the correct answer is, 'Overall programme of the school which students experience on a day-to-day basis.'

NVS PGT Mathematics Mock Test - 1 - Question 26

The points z = x + iy which satisfy the equation | z | = 1 lie on

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 26

z = x + iy
|z| = (x2 + y2)1/2
x2 + y2 = 1
Equation of circle with centre (0,0) and radius 1 unit.

NVS PGT Mathematics Mock Test - 1 - Question 27

In the following question, out of the four alternatives, select the word similar in meaning to the word given.

Slander

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 27

Slander is to work on lines so as to defame the character and image of a person. Thus, defame is the nearest synonym to slander.   
Example- During elections, there is a fest of defamation between politicians.

NVS PGT Mathematics Mock Test - 1 - Question 28
आविर्भाव’ का उपयुक्त विलोम शब्द है -
Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 28
सही उत्तर है - "तिरोभाव" l
Key Points
  • 'आविर्भाव’ का उपयुक्त विलोम शब्द है - 'तिरोभाव' l
    • आविर्भाव शब्द का अर्थ है - प्रकट होना l
    • तिरोभाव शब्द का अर्थ है - अदृश्य हो जाना, अदर्शन।
    • अन्य विकल्प :- प्रकटीकरण, उद्वेलन, समभाव - 'आविर्भाव' शब्द के उचित विलोम शब्द नहीं है l

Additional Information

  • जो शब्द एक दूसरे के विपरीतार्थक हो, या उल्टा अर्थ बताते हैं, विलोम शब्द कहलाते हैं l
    • उदाहरण :- अच्छा – बुरा अंकुश – निरंकुश अकाल – सुकाल
NVS PGT Mathematics Mock Test - 1 - Question 29

दिए गए शब्द का विलोम शब्द ज्ञात कीजिए।

ॠणात्मक

Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 29

सही उत्तर 'धनात्मक' है।

  • दिए गए विकल्पों में, 'ॠणात्मक' शब्द का विलोम शब्द 'धनात्मक' है।
  • ॠणात्मक का अर्थ: नकारात्मक, अभावात्मक।
  • धनात्मक का अर्थ: सकारात्मक।

Key Points

अन्य विकल्पों का विश्लेषण:

Additional Information

  • विलोमार्थक शब्द/ विलोम: 'विलोम’ शब्द का अर्थ है- उल्टा या विपरीत।
  • समान परिस्थितियों में एक दूसरे का विपरीत अर्थ देने वाले शब्द एक-दूसरे के विलोमार्थक शब्द होते हैं।
NVS PGT Mathematics Mock Test - 1 - Question 30
अतिवृष्टि' शब्द का विलोम होगा -
Detailed Solution for NVS PGT Mathematics Mock Test - 1 - Question 30

सही उत्तर है - ‘अनावृष्टि’।

  • अतिवृष्टि का विलोम अनावृष्टि होगा।
  • अतिवृष्टि का अर्थ : बहुत अधिक मात्रा में बारिश होना।
  • अनावृष्टि का अर्थ : वर्षा का अभाव।

Key Pointsअन्य विकल्प:

  • वृष्टि का विलोम अनावृष्टि होगा।
  • मित का अर्थ - नपा तुला, सीमित।
  • वृष्टि का अर्थ - पानी बरसना, वर्षा का जल।
  • न्यून का अर्थ - कम, थोड़ा।
  • न्यून का विलोम - अधिक

Additional Information विलोम शब्द के उदाहरण:-

  • विषाद – हर्ष
  • जय – पराजय
  • दुर्गति – सद्गति
  • अल्पायु – दीर्घायु
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