HSSC TGT Math Mock Test - 9 - HSSC PGT/TGT MCQ

The correct answer is Clay.

Key Points

• The particles that makeup soil are categorized into three groups by size – sand, silt, and clay.
  • Single clay particles cannot be seen with a naked eye.
  • Size is less than 0.002 mm in diameter.
  • ​​Sand particles are the largest and clay particles the smallest. 

Additional Information

• The particles in clay are tightly packed together with each other with very little or no airspace.
• This clay has very good water storage qualities and makes it hard for moisture and air to penetrate into it.
  • It is very sticky to the touch when wet, but smooth when dried.
  • It is the densest and heaviest type of soil that does not drain well or provide space for plant roots to flourish.

The correct answer is soil composition.

Key Points

• Soil composition is not a factor in soil formation.
• The soil is a mixture that contains minerals, organic matter, and living organisms.
• Soil is one of the most important elements of an ecosystem, and it contains both biotic and abiotic factors.
• The composition of abiotic factors is particularly important as it can impact the biotic factors, such as what kinds of plants can grow in an ecosystem.

Additional Information Factors responsible of soil formations

• Soils are formed through the interaction of five major factors: time, climate, parent material, topography and relief, and organisms.
• The relative influence of each factor varies from place to place, but the combination of all five factors normally determines the kind of soil developing in any given place
• Time-The formation of soils is a continuing process and generally takes several thousand years for significant changes to take place.
• Climate, particularly temperature, precipitation and frost action have a profound influence on the soil forming processes which occur within a region.
• Parent material is the unconsolidated mineral and organic deposits in which soils are developing.
• It determines the mineralogical composition and contributes largely to the physical and chemical characteristics of the soil.
• Topography-The shape of the land surface, its slope and position on the landscape, greatly influence the kinds of soils formed.

The Principal is part or head of a school whose function is to support and assist the school in meeting the overall objectives of the Division and the needs of individual students. The role of the Principal is to provide leadership, direction, and coordination within the school.  

Important Points

• The teacher is the role model of the students.
• Being a teacher, there are a lot of duties and responsibilities.
• If the principal is assigning certain duties to the teacher, then it is the teacher's duty to accept them.
• The teacher must do that duty delegated and efficiently.

Key Points

•  The most common cause of fainting in otherwise healthy youngsters is a short interruption in the passage of oxygen-rich blood to the brain (blood pressure). The child usually recovers rapidly. This is referred to as simple fainting.
• As a principal, if a child faints during school prayer, it is your responsibility to take care of the child and supervise the first aid to the child and resume the prayer. Apart from this, the child will not be disturbed and the fanned children will also get first aid. After that, we can take her to the doctor.

Thus it is clear that as a principal you ask a teacher to continue with prayer, supervise the first aid to the child, and resume the prayer.

The correct answer is Nakula - Digvijyams.

• Rohtak derives its name from its headquarters town, Rohtak, which is called the Reformation of Rohtashgarh, a name still applied to the ruined sites of the two old sites.
  • Traditionally, it is named after King Rohtash, in whose days the city is said to have been built.
  • It is also claimed that the city derives its name from the Roherra (Tacoma undulate) tree which is called Rohitaka in Sanskrit.
  • It is said that before the city came into existence, it was the site of a forest of Rohitaka trees and hence the name Rohtak.
  • Another version links Rohtak with Rohitaka, which is mentioned in the Mahabharata in connection with the campaign of the Pandava warrior Nakula.

Additional Information

• Divyavadana (meaning Divine Tales) is a text of Buddhist tales.
  • The origin of many of these stories is the original Mool Sarvastivada Vinaya Granth.
• Majjima Nikaya is a Buddhist text, the second of the five Nikayas or collections in the Sutta Pitaka, one of the "three baskets" that compose the Pali Tipitaka of Theravada Buddhism. Composed between the 3rd century BCE and the 2nd century CE.

The correct answer is Kurukshetra.

The correct answer is Hisar Airport.

• Hisar Airport is the first civil Airport of Haryana.
• Airports in Haryana are:
  • Ambala Air Force Station
  • Bhiwani Airport
  • Bhilwara Airport
  • Hisar Airport
  • Kalka Airport
  • Karnal Airport
  • Sirsa Air Force Station
• About Hisar:
  • It is the second-largest district of Haryana.
  • It is one of the 7 districts which was constituted with the establishment of Haryana.
  • It shares borders with Fatehabad, Jind, Rohtak and Bhiwani districts of Haryana.
  • It also shares a border with the state of Rajasthan.
  • It was established by Firozshah Tuglaq by the name "HISAR-I-FEROZA" in 1354 A.D.
  • According to the 2011 census,
    • The total population of Hisar is 1,743,931.
    • The Sex ratio of Hisar is 872.
    • The Literacy rate of Hisar is 72.89%.
    • The Population density of Hisar is 438.

The correct answer is Shooting.

Key Points

• Shweta Chaudhry was born on 3 July 1986 in Faridabad, Haryana.
• She is an Indian shooter who competes in the 10-meter air pistol and 25-meter sports pistol events.
• Chaudhary won the bronze medal in the women's air pistol event, which was the first medal won by India in the games.
• In 2009, at the 2009 Asian Air Gun Championships in Doha.
• At the age of 14, she became the senior national champion with record-breaking results.
• Chaudhary, along with Sheila Kanungo, won a silver medal at the 2002 Commonwealth Games held in Manchester.

Additional Information

• Chief Minister of Haryana is - Manohar Lal Khattar
• Sex Ratio of Haryana - 879
• Literacy Rate of Haryana - 67.91%
• Lok Sabha seats in Haryana - 10

The correct answer is 18-06-2010.

Key Points

• Haryana on June 18 2010 became the first state in the country to have launched a web portal-based Centralised Public Grievances Redress and Monitoring System.
• Harsamadhan would provide a quick grievance redressal mechanism to the citizens.
• It aimed at redressal of grievances of the people, making governance transparent and enabling online common solutions and feedback, reducing delivery costs by minimizing duplication of effort by individuals and departments.
• Harsamadhan would allow registration of grievances on an ‘anytime, anywhere basis'.

The correct answer is Prithviraj Chauhan.

Key Points

• The fort of Asigarh in Hansi town of Hisar district was built by Prithviraj Chauhan.
• This fort is also known as Prithvi Raj Chauhan Ka Qila.
• It is located on the eastern bank of Amti lake.

Additional Information

• About Hisar:
  • It is the second-largest district of Haryana.
  • It is one of the 7 districts which was constituted with the establishment of Haryana.
  • It shares borders with the Fatehabad, Jind, Rohtak, and Bhiwani districts of Haryana.
  • It also shares a border with the state of Rajasthan.
  • It was established by Firozshah Tuglaq by the name "HISAR-I-FEROZA" in 1354 A.D.
  • According to the 2011 census,
    • The total population of Hisar is 1,743,931.
    • The Sex ratio of Hisar is 872.
    • The Literacy rate of Hisar is 72.89%
    • The Population density of Hisar is 438.

The correct answer is Baba Farid.

Key Points

• Faridabad was founded in the year 1607 AD by Sheikh Farid also addressed as Baba Farid.
• He was a treasurer of the Mughal Emperor Jehangir.
• The city was also famous for a Fort, a Tank, and a Mosque which over a period of time has got into ruins.
• Baba Farid built the first travelers lodge commonly referred to as Sarai which used to be the last stop for people traveling to New Delhi.
• After the rebellion of 1857, their estate was confiscated by the British Raj & The territory of Ballabhgarh was added to the Delhi district.
• It was constituted as a municipality in 1867.
• Faridabad became the 12th district of Haryana state on 15th August 1979.

Additional Information

• ​Faridabad is also a major industrial hub of Haryana.
• Faridabad is famous for henna production from the agricultural sector.
• Tractors, motorcycles, switch gears, refrigerators, shoes, tyres and garments constitute its primary industrial products.
• Famous Places
  • Raja Nahar Singh Palace
  • Badkhal Lake
  • Suraj Kund

Moisture content is the ratio of mass of water to mass of soil solids. It may be greater than 100 %.

Permeability of soil  is the property of the soil with how much ease water can flow through the soil mass. Higher the easiness of flowing the water, higher the permeability of soil sample. Generally, coarse grained soils like sand have higher permeability than that of fine grained soils like clay.

Capillarity is the phenomena due to which water can rise and filled the air voids of partially or fully dried soil mass due the action of surface tension forces. The smaller the air void size, the higher the water rises in the soil.

This means that clay soil allows water to raise more as compared to sand.

Percolation is defined as the slow movement of water through the pores in soil or permeable rock.

The correct answer is Shot put.

Key Points

• Deepa Malik
  • She was born on 30 September 1970 in Bhaiswal, Haryana.
  • She started her career at the age of 30.
  • She is the first Indian woman to win a medal in Paralympic Games and won a Silver medal at the 2016 Summer Paralympics in the shot put. Hence, Option 1 is correct.
  • She has also won gold in the F-53/54 Javelin event at the para athletic Grand Prix held in Dubai in 2018.
  • She is currently the world number one in the F-53 category.
  • She is a member of the working group in the formulation 12th five-year plan (2012–2017) on sports and physical education.
  • She was honoured with the Arjuna award in 2012, at the age of 42 years.
  • She has also been conferred the prestigious Padma Shri award in 2017.
  • She has won 58 national & 23 International medals across all disciplines to date.

When you encounter a school bus with its stop sign extended and red lights flashing, you must stop your vehicle. It indicates that the bus is loading or unloading children, and passing it could pose a significant risk to their safety. Wait patiently until the bus resumes motion and the stop sign is retracted before proceeding with your journey. It's essential to prioritize the safety of children and adhere to traffic regulations to prevent accidents.

Additional Fact:
In many places, passing a school bus with its stop sign extended is not only dangerous but also illegal. Violating this rule can result in severe penalties, including fines and license suspension. Always exercise caution and patience when sharing the road with school buses to ensure the safety of everyone involved.

When you see a yellow traffic light, it indicates that the signal is about to change from green to red. Drivers should proceed with caution and be prepared to stop if necessary. The yellow light serves as a warning to drivers to slow down and prepare to come to a stop. It's essential to exercise caution and make a safe decision based on the traffic conditions at the intersection. Speeding up to pass through the intersection or ignoring the light can lead to accidents and traffic violations.

Additional Fact:
Yellow traffic lights are designed to provide drivers with a transition period between the green and red phases of the signal. This allows for a smooth flow of traffic while ensuring safety at intersections. Drivers should use this time to assess the situation, decide whether it's safe to stop, and proceed accordingly.

Puberty: It is the time when external and internal physical changes in sex organs occur due to the secretion of reproductive hormones. It regulates growth through its influence on the glands in the endocrine system namely the thyroid gland, the pituitary gland, and the adrenal gland.

Key Points

• The approximate age of puberty among students is 12 - 19 years of age.
• In boys, the male hormone testosterone, secreted by the testes is responsible for the various physical changes taking place in the body  -
  • Body hair distribution
  • Effect on the voice
  • Increased secretions by skin glands often lead to acne formation
  • Muscle development and distribution
  • Increased bone growth
  • Increased metabolic rate
  • Increased production of red blood cells
  • Increased size of penis and scrotum
  • Production of sperms
• In girls, the ovaries start secreting the female sex hormones viz., estrogen and progesterone that are responsible for the various physical changes taking place in the body of the adolescent girl -
  • Body hair distribution 
  • Soft and smooth skin 
  • Increased fat deposition in the body 
  • Slight increase in metabolic rate 
  • A small increase in protein deposition
  • Increased deposition of calcium in bones and increased bone growth 
  • Development of breast tissue
  • Increase in size of all reproductive organs – internal as well as external
  • Initiation of menstruation (menarche). 

Thus, it is concluded that the approximate age of puberty among students is 12 - 19 years of age.

For civilization to continue and operate, socialization is a critical process. Varied civilizations have different practices and procedures for educating their newborn members so that they can grow into unique individuals. Socialization is the term used to describe the personality development and training of the youngster.

Key Points Some of the definitions of socialization are as follows:-

• Tony Bilton: “The process by which we acquire the culture of the society into which we are born - the process by which we acquire our social characteristics and learn the ways of thought and behavior considered appropriate in our society - is called socialization”.
• Anthony Giddens: “Socialisation refers to the process which transforms a quite helpless human infant into a self-aware, knowledgeable person who is skilled in the ways of their society’s culture”.
• Peter Worsley:” By this is meant, simply, the transmission of culture, the process whereby men learn the rules and practices of social groups. Socialisation is an aspect of all activity within all human societies”.

Hence, it is concluded that Tony Bilton said “The process by which we acquire the culture of the society into which we are born - the process by which we acquire our social characteristics and learn the ways of thought and behavior considered appropriate in our society - is called socialization”

Psychology is the scientific study of the mind and behavior. Psychology is a multifaceted discipline and includes many sub-fields of study such areas as human development, sports, health, clinical, social behavior, and cognitive processes.

Important PointsExperimental method: Experiments are generally conducted to establish a cause-effect relationship between two sets of events or variables in a controlled setting

• The experimental method is the most scientific and objective way of studying behavior.
• In this method, experiments are conducted in the laboratories under controlled conditions.
• In experiments, usually, the effect of the independent variable on the dependent variable is studied.
• There will be two variables, viz., Independent and dependent variables. 
• For example, the effect of music on the level of blood pressure can be studied in laboratory settings. Here, the music is the independent variable and the BP is a dependent variable.

Key PointsImportant methods of Studying Human Behavior are as follows:

•  Introspection Method
•  Observation Method
•  Experimental Method
•  Clinical Method/Case History Method

Thus, it is concluded that the most scientific and objective method of studying behavior is the Experimental method.

Hint

• Introspection Method: This method was introduced by EB Titchener. This is also known as the self-observation method. Introspection means ‘to look within'. It is not possible to understand the inner feelings and experiences of other persons. But the individual himself can observe and report.

• Observational method: This method is very useful in areas where experiments cannot be conducted. In this method, the observer will observe and collect the data. Example: In the hospital, the nurse will make observations of patient’s temperature, pulse, BP, facial expressions, etc.

The Elementary Approach is also called the Rational Choice Approach. It focuses on human activity in social relations embedded in social structures. The elementary unit of social life is the individual human action. So depending on these factors, the individual makes a choice is an approach used by social scientists but it cannot be used to understand political science.

Concept:

The biochemical oxygen demand of safe drinking water is zero.

BOD represents the amount of biodegradable organic matter present in water. It also indicates the amount of treatment required for purifying. If the BOD is high the extent of treatment required will be high.

Hence, there should not be any BOD in safe drinking water.

Important Points

The permissible limits of various compounds are as follows:

The correct answer is the Blackbuck.

Important Points

• The Blackbuck is the state animal of Haryana. In India hunting of Blackbuck is ban under the Wildlife Protection Act of 1972, due to excessive hunting and habitat degradation of Blackbucks during the 20th century.
• The Blackbuck or an Indian antelope are found in India, Nepal, and Pakistan. They have a lifespan of approximately 10 to 15 years.

Additional Information

• Black Francolin of the pheasant family is the State bird of Haryana.
• There are 2 National parks located in Haryana viz, Sultanpur National Park located in Gurugram and Kalesar National Park located in Yamunanagar.
• Chinkara also known as Indian Gazelle is the state animal of Rajasthan.

U = Set of all teachers in a school
B = Set of all Mathematics teachers in a school
B’ = U – B = Set of all Non-Mathematics teachers in a school

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

Height of the cylinder = 7 + 4 = 11 cm
Volume of the cylinder = πr²h

Hence, Option C is correct.

f(x) = ln(1+x) - x ≤ 0
f(x) = ln(1+x) - x
f’(x) = 1/(1+x) - 1
= (1 - 1 - x)/(1+x) 
= -x/(1+x)
f’(x) ≤ 0
-x/(1+x) ≤ 0
0 ≤ x /(1+x)
for(x = 2) (-2)/(1-2)
= 2 > 0, therefore x > - 1

The possible values of X are 0 , 1 and 2 .
As we know that pack of cards contains 4 aces.

Therefore , the probability distribution of X is : 

Therefore required value of
E(X) is = 0+ 384/2652 + 24/2652 = 408/2652 = 2/13.

f(x) = x^x     f(x) = x^(-x)
f’(x) = x^x(1+ln x)          f’(x) = -x^(-x)(1+ln x)
1+ln x = 0                   x = 1/e
x = 1/e
Min value = (1/e)^(1/e)        f(1/e) = e^(1/e)
Product = (e^-1/e)(e)^1/e = 1

The problem is asking to find the integral of 6x(x²+6)dx. This is a straightforward application of the power rule for integration.

Step 1:
First, distribute the 6x into the bracket.

• 6x * x² + 6x * 6 = 6x³ + 36x

Step 2:
Now, we can find the integral of each term separately.

• ∫6x³ dx + ∫36x dx

Step 3:
Apply the power rule for integration, which states that the integral of x^n dx is (1/n+1)x^(n+1).

• (6/4)x⁴ + (36/2)x² = 1.5x⁴ + 18x²

Step 4:
Finally, don't forget to add the constant of integration, denoted as 'c'.

Therefore, the integral of 6x(x²+6)dx is 1.5x⁴ + 18x² + c.

So, according to the options provided, the correct answer is Option C: f(x)+c.