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

'A doubting Thomas' is a person who only believes in whatever he sees and does not easily trust others. 
Option 4 is thus the correct option.
Example- It is very difficult to deal with a doubting Thomas because they never seem to believe you.

'Voluntarily' means to do something out of self-will and not under force.
Example- He voluntarily gave up all his possessions and left for a spiritual life.

The correct option is Option 4, i.e., ‘discourage’.
The word ‘dissuade’ means ‘to advise against something’. The word closest in meaning, from the given options is ‘discourage’, which has a similar meaning. Hence, the correct option is Option 4.

जिस समास में दोनों पद प्रधान हो तथा विग्रह करने पर उनके बीच ‘तथा’, ‘या’, ‘अथवा’, ‘एवं’ या ‘और’ का प्रयोग होता हो। जैसे– अन्न और जल = अन्न-जल, अपना और पराया = अपना - पराया।

"ध" और "द"  दंत्य वर्ण है। 

दन्त्य वर्ण- जिन वर्णों का उच्चारण ऊपर के दांतों पर जीभ के लगने से होता है, उसे दन्त्य वर्ण कहते हैं। जैसे- त, थ, द, ध, न, ल, और दन्त्य स।

उक्त पंक्तियों में चूँकि क्रोध अथवा रौद्र की भाषा झलक रही है। इसलिए यहां पर रौद्र रस है।

किसी व्यक्ति के द्वारा क्रोध में किए गए अपमान आदि के उत्पन्न भाव की परिपक्व अवस्था को रौद्र रस कहते हैं। इसका स्थायी भाव क्रोध होता है।

उक्त पँक्तियों में गीतिका छन्द का प्रयोग किया गया है।

प्रत्येक चरण में 14 और12 की यति से 26 मात्राएँ होती हैं 

प्रत्येक चरण के अंत में लघु और गुरु होता है।  

'भीत्रार्थानां भयहेतुः' सूत्र से ‘भी’, 'त्रा', 'त्रस' धातु अथवा ‘भय’ के अर्थ में प्रयुक्त होने वाले धातुओं के योग में भयभीत करने वाले व्यक्ति की आपादन संज्ञा होती है जिसमें ‘अपादाने पञ्चमी’ से पञ्चमी विभक्ति होती है।

जैसे- 'चोराद् बिभेति।' यहाँ 'भी' धातु का प्रयोग हुआ है।

'गोकुल दुर्जनों से त्रस्त है' इस वाक्य में त्रस का योग होने के कारण 'दुर्जनों' की अपादानसंज्ञा होकर पञ्चमी विभक्ति होगी और क्योंकि 'दुर्जनों से' बहुवचन है तो यहाँ पद भी पञ्चमी बहुवचन प्रयुक्त होकर वाक्य हो जाएगा ‘गोकुलः दुर्जनेभ्यः त्रस्तः​।’

Given:

x + 1/x = 25

Concept Used:  

If x + 1/x = p then, x – 1/x = √(p² – 4)

Calculation:

It is given that x + 1/x = 25

 We know that if x + 1/x = p then, x – 1/x = √(p² – 4)

⇒ x – 1/x = √(25² – 4)

⇒ x – 1/x = √(625 – 4)

⇒ x – 1/x = √621

From the diagram given below:

The shaded part represents the persons who speak only two languages.

26 + 51 + 17

= 94 

Hence, the correct answer is "94".

The logic follows here is:

It is given that Rahul has 48% marks in 10th, an age of 28 years, and work experience of 5 years.

It is clearly mentioned in the criteria that 10^th marks should be greater than 50% for job P and greater than 60% for job Q. Rahul got 48% marks in 10^th.

Therefore, Rahul, neither qualifies for job P nor for job Q.

Hence, the correct answer is "Neither P nor Q".

Concept:

• Nutrition is a process by which an organism consumes and uses food materials.
• According to WHO, Nutrition is the intake of food, considered in relation to the body's dietary needs.
• There are various modes of nutrition mainly Autotrophic, Heterotrophic, Chemoautotrophic, Saprophytic,  etc.

Explanation:

• Holophytic or autotrophic nutrition: In this type of nutrition the organisms prepare their food by themselves. Eg - green plants.
• Plants prepare their food by the process called photosynthesis. 
• During photosynthesis, plants trap solar energy or light energy with the help of chloroplast present in the green leaves and convert it into Chemical energy
• A pigment called chlorophyll is present in the chloroplasts which are required in trapping sunlight
• Plants utilize Carbon dioxide and Water for the synthesis of carbohydrates during photosynthesis, oxygen is liberated as a side product
• This gaseous exchange occurs through the stomata present on the leaf surface

• These events can be demonstrated by the following equation:

  

Therefore, Plants require CO₂, Chlorophyll, Sunlight and water for autotrophic nutrition and hence the correct option will be ''All of these''.

The family chart is as follows:

i) A is brother of B
ii) B is brother of C
iii) C is husband of D
iv) E is father of A
Drawing the family tree as per the given information:

Thus we can see D is the Daughter - in - law of E.
Hence, the correct answer is "Daughter - in - law".

The correct answer is ​Nilgiri.

Key Points

• Nilgiri Biosphere Reserve
  • The name ’Nilgiris’ with literary meaning ‘blue mountains’ has originated from the blue flower-clad mountains of the Nilgiris plateau within the State of Tamil Nadu.
  • It was the first biosphere reserve in India established in the year 1986. Hence, Option 2 is correct.
  • The total area of the Nilgiri Biosphere Reserve is 5,520 sq. km.
  • It is located in the Western Ghats and encompasses parts of Tamil Nadu, Kerala, and Karnataka.
  • The confluence of Biotic zones: It exemplifies the tropical forest biome which portrays the confluence of Afro-tropical and Indo-Malayan biotic zones of the world.
  • Many of the major tributaries of the river Cauvery like the Bhavani, Moyar, Kabini, and other rivers like Chaliyar, Punampuzha, etc., have their source and catchment areas within the reserve boundary.
  • Tribal groups like the Todas, Kotas, Irullas, Kurumbas, Paniyas, Adiyans, Edanadan Chettis, Cholanaickens, Allar, Malayan, etc., are native to the reserve.
  • The Mudumalai Wildlife Sanctuary, Wayanad Wildlife Sanctuary, Bandipur National Park, Nagarhole National Park, Mukurthi National Park, and Silent Valley are the protected areas present within this reserve.

Additional Information

• Sundarbans
  • It is a mangrove area in the delta formed by the confluence of the Ganges, Brahmaputra, and Meghna Rivers in the Bay of Bengal.
  • It spans from the Hooghly River in India's state of West Bengal to the Baleswar River in Bangladesh's division of Khulna.
• The Nanda Devi National Park or Nanda Devi Biosphere Reserve
  • It was established in 1982.
  • In the year 1988, Nanda Devi National Park and its surrounding area were declared as Biosphere Reserve under the MAB programme of UNESCO.
  • It is a national park situated around the peak of Nanda Devi in Chamoli Garhwal district of Uttarakhand, in northern India.
  • The entire park lies at an elevation of more than 3,500 m above mean sea level.
• The Pachmarhi Biosphere Reserve
  • It is a non-use conservation area and biosphere reserve in the Satpura Range of Madhya Pradesh state in central India.
  • The conservation area was created in 1999 by the Indian government. It also contains animals from the Himalayan peaks and the lower western ghats.

The correct answer is ​0 to 14.

Important Points

• The pH scale is the scale used to express the acidity or alkalinity of a substance based on the concentration of hydrogen ions in its solution.
  • pH scale was discovered by Soren Sorensen.
  • The range of pH scale 0 to 14.
    • If pH < 7 then solution is acidic.
    • If pH > 7 then solution is basic.
    • If pH = 7 then solution is neutral.

Additional Information

• pH means the potential of Hydrogen.
• The strength of acids and bases depends on the number of H⁺ ions and OH^- ions produced, respectively.
• The human body works within the pH range of 7.0 to 7.8.
• When the pH of rainwater is less than 5.6, it is called acid rain.
• Tooth decay starts when the pH of the mouth is lower than 5.5.

The correct answer is Core.

Key Points

• Earth Core:
  • The innermost layer of the earth is known as the core.
  • It is divided into the inner core and the outer core.
  • It comprises a high concentration of nickel and iron.
  • The outer core:
    • The outer core, surrounding the inner core, lies between 2900 km and 5100 km below the earth’s surface.
    • The outer core is composed of iron mixed with nickel (nife) and trace amounts of lighter elements.
  • The Inner Core:
    • The inner core extends from the center of the earth to 5100 km below the earth’s surface.
    • The inner core is generally believed to be composed primarily of iron (80%) and some nickel (nife).
    • Since this layer can transmit shear waves (transverse seismic waves), it is solid. (When P-waves strike the outer core inner core boundary, they give rise to S-waves)

Additional Information

• The mantle is the widest section of the Earth. Its thickness is approximately 2,900 km.
  • The mantle is mainly made up of semi-molten rock known as magma.
  • The rock is hard in the upper part of the mantle, but lower down the rock is softer and begins to melt. 
  • The mantle is located directly under the Sima
• The crust is the outer layer where we live.
  • The thickness is around 0-60 km.
  • It is a solid rock layer divided into two types:
    1. Continental crust covers the land
    2. Oceanic crust covers water
• Sima is an antiquated blended term for the lower layer of Earth's crust. This layer is made of rocks rich in magnesium silicate minerals.

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".

For this question, we will use the given table-

The relation of NZ : MA  is given below-

Similarly,

We will apply the same relation to TV : ? as-

Hence, Option (3) is correct.

The correct answer is chemical energy.

Key Points

• The dry cell is a type of electric battery which is used for portable electrical devices.
• Electricity is produced through the dry cells from electrochemical energy. Hence, Option 1 is correct.
• A common dry cell is a zinc-carbon cell.
• The electrolyte is immobilized as a paste by a dry cell, with just enough humidity in it to allow current to flow.
• Like a wet cell, a dry cell can work without spilling in any direction, because there is no free liquid in it.
• The versatility makes it ideal for mobile devices.
• The first wet-cell batteries, in comparison, were usually fragile glass containers featuring lead rods sticking from an open-top.
• Hence, they required careful handling to prevent spillage.
• The dry-cell battery development made a significant advance in battery safety and portability.
• Batteries render electricity from chemical energy.
• Batteries consist of one or more different parts, or cells, which contain an electrolyte called a chemical.
• Every cell has two electrodes that are electrically conductive immersed in its electrolyte.
• The electrodes consist of different materials; one releases electrons into the electrolyte, and the other absorbs them.
• Once an electrical system is attached to the electrodes, an electrical current passes through it and supports its operation with electric power.
• The energy contained in the dry cell is therefore in the form of chemical energy.

Additional Information

• Thermal energy
  • It is also called heat energy 
  • It is produced when a rise in temperature causes atoms and molecules to move faster and collide with each other.
  • The energy that comes from the temperature of the heated substance is called thermal energy.
  • Thermal energy is energy that comes from a substance whose molecules and atoms are vibrating faster due to a temperature rise.
• In physical sciences, mechanical energy
  • It is the sum of potential energy and kinetic energy.
  • It is the macroscopic energy associated with a system.
  • The principle of conservation of mechanical energy states that if an isolated system is subject only to conservative forces, then the mechanical energy is constant.
• Nuclear power
  • It is the use of nuclear reactions to produce electricity.
  • Nuclear power can be obtained from nuclear fission, nuclear decay, and nuclear fusion reactions.
  • Presently, the vast majority of electricity from nuclear power is produced by nuclear fission of uranium and plutonium in nuclear power plants.

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.

Using By parts,

2I = x|x|

I=x|x|/2

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

If θ is the acute angle between

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


Here, 


Then, 

Total number of students =10
There are 7 boys and 3 girls.
Seven boys can be arrange in a row  7P7 = 7!ways.
So, 8 places in which we can arrange 3 girls are 8P3 = 8!/(8−3)! = 336ways
The number of arrangement is 7!×336 = k * 8!
= 42

f(x)={(a²−ax+x²)−(a²+ax+x²)^1/2}/{(a+x -(a-x)^1/2)^1/2}
on rationalising, we get
lom(x → 0) a² - ax + x² -(a² +ax + x²) * (a+x)^1/2 + (a-x)^1/2]/[(a+x)-(a-x) * (a² - ax + x²)^1/2 + (a² + ax + x²)]
lim(x → 0) [-2ax * [(a)^1/2 + (a)^1/2]]/[2x * (a²)^1/2 * (a²)^1/2]
-a/(a)^1/2 = -(a)^1/2​

So, f has a local minima at 2 and a local maxima at - 2 .

sin² (θ - α) cos α = cos² (θ - α) sin α = m sin α cos α

 are any three vectors then the correct expression for distributivity of scalar product over addition is :