HSSC TGT Math Mock Test - 3 Free Online Test 2026

Inclusive Education is an approach to educating all children who are at risk for neglect in the education system. It expects that all learners learn together through access to common educational provisions.

• The crucial people in the system are the parents, community, teachers, administrators, and policymakers. All these people have to be supportive of the diverse needs of children. It should be seen as an experience rather than a problem. These children should be provided assistance in order to have effective learning.

Key Points

Types of disabilities:

• Gifted: Options for educating gifted children include early admission to school, acceleration, and enrichment of the curriculum. Some gifted children may have trouble in social adjustment and may also show emotional disturbances. They may also feel boredom with the regular curriculum. Giving them easy questions is not the preferred solution to their problem.
• Autism: This is characterized by sustained impairment in comprehending and responding to social cues, aberrant language development, and usage, and restricted, stereotypical behavioral patterns. Individuals with Autism vary widely in symptom expression, cognitive level, and adaptive abilities. The sudden change in the classroom environment may cause various types of issues.
• Dysgraphia: It is a type of disorder that is neurological and is characterized by problems in writing. It makes students unable to draw or write anything specific. Students cannot draw fine diagrams, hence, this technique is inefficient for them.
• Speech impairment: Speech impairments are characterized by difficulty in producing normal speech patterns. These disorders include speed sound disorders/articulation disorders, voice disorders, fluency disorders, etc. Showing patience and giving ample time to students to respond will helps the students to receive and express the sounds.

Hence, Speech impairment: Show patience and give ample time to respond is a correctly matched pair of appropriate accommodation strategy for inclusion of students with the specified disability

The correct answer is Option 3, i.e Hydrofluorocarbons.

• Hydrofluorocarbons (HFCs) has the highest global warming potential as compared to other gases.
• Global Warming Potential (GWP) is used to measure the total energy that a particular gas absorbs over a particular period of time ( normally 100 years), compared to carbon dioxide. 
• Gases with a higher GWP absorb more energy, per pound, than gases with a lower GWP, and thus contribute more to warming Earth.
• The major atmospheric gases responsible for causing global warming are Carbon dioxide (CO2), Methane (CH4) and Nitrous Oxide.
• Hydrofluorocarbons (HFCs), Perfluorocarbons (PFCs) and Sulphur hexafluoride (SF6) are less prevalent GHGs but are very powerful.

Key Points

Bio-Degradable:

• Substances that are broken down by biological processes (bacteria) are said to be biodegradable.
• For example all living plants and animals, vegetables and fruits.

Non-Bio- Degradable:

• Substances that are not broken down by biological processes(bacteria) are said to be non-biodegradable.
• These substances may be inert and simply persist in the environment for a long time.
• They may harm the various members of the ecosystem.
• For example plastics, metals concrete, nylon etc.

Important Points 

Thus, 

• Group 1: spoiled food, garden trimmings, paper, wood - Biodegradeable waste
• Group 2: plastic bags, toys, bottles, glass - Non-Bio Degradable waste

Additional Information 

The correct answer is Baba Sarwan Nath.Key Points

• Baba Sarwan Nath constructed the famous ‘Sarveshwar Mahadeo Temple’ at Kurukshetra.
• The Mahadev temple is situated in the town of Shahabad Markanda, Kurukshetra district, Haryana.
• It is a temple dedicated to Lord Shiva and its name is associated with Maharishi Markandeya, who was a great devotee of Lord Shiva.
• The walls of the temple carry a scene depicting Rishi Markandeya being saved by Lord Shiva from Yamraj, who is the Hindu god of death.

The correct answer is Karnal.

• Munak canal which was situated in Haryana originates from the Karnal district of Haryana.
• It was built in 1819 and renovated in the year 2008.
• It extends towards Delhi from the Karnal in Haryana and passes through the Jhajjar district.
• It carries 700 cusecs of water towards Delhi, its water is used for drinking water supply in Delhi.

About Haryana

• Capital - Chandigarh
• 1st Chief Minister - Bhagwat Dayal Sharma (Indian National Congress)
• 1st Governor - Dharma Vira

The correct answer is option 2 i.e 536.5mm.

• The climate of Haryana is arid to semi-arid.
• Haryana is spread over an area of 44,212 sq. km.
• The average annual rainfall of Haryana is 536.5 mm.
• The climate of Haryana is very hot in summer seasons and cold in the winter season.
• Haryana is located with an altitude between 700-3600 ft above sea level.
• Karnal, Kurukshetra and Ambala Districts are the maximum rain-hit areas in Haryana.

The correct answer is 2001.Key Points

• Haryana forms Water Conservation Commission in Septmber 2001.
• The haryana government has constituted a water conservation mission under the chairmanship of principal secretary to the chief minister, sy quraishi to promote a holistic approach to water conservation by creating awareness among various stake-holders and the general public.
• The decision to constitute the mission has been taken to evolve a ''collective action for water management'' in the light of dwindling water resources.
• There is a general realisation among statesmen, political thinkers and administrators the world over that the future wars would be fought not for land but for water which is becoming scarce by the day.

The correct answer is Komal Gurjar.

Key Points

Anita Kundu

• She is a sub-inspector of police and passionate mountaineer, is the first woman to scale Mount Everest from both Nepal and China sides.
• She hails from village Faridpur, Hisar ( Haryana ).
• She was born in Hisar, Haryana, Kundu joined the Haryana Police in 2008.
• From an early age, she had been drawn to challenging sports - as a pre-teen, she had trained in boxing. Hence, Option 1 is correct.

Mamta Sodha

• She is an Indian sportsperson, known for her successful 2010 attempt to scale Mount Everest.
• She was honoured by the Government of India, in 2014, by bestowing on her the Padma Shri, the fourth highest civilian award, for her services to the field of mountaineering sport.

Komal Gurjar

• Komal Gurjar is a junior women wrestler.

Santosh Yadav

• She is an Indian mountaineer.
• She is the first woman in the world to climb Mount Everest twice and the first woman to successfully climb Mount Everest from Kangshung Face.
• She climbed the peak first in May 1992 and then again in May 1993 with an Indo-Nepalese Team

The correct answer is ​Dara Shukoh.

Key Points

• Dara Shukoh made a tomb after the death of Sheikh Chehli, which is also known as 'Taj Mahal of Haryana'.
• This mausoleum is among the major national monuments of the country.
• Due to Persian influenced architecture and the use of marble, the Tomb often draws comparisons with the Taj Mahal.
• It was built in 1650 AD by Darashikoh in memory of the famous Sufi saint Sheikh Chehli.
• It is also known as Sheikh Chilli’s Tomb.

• Sheikh Chilli tomb is a tomb of the Sufi Saint Shaikh Chehli, who was apparently the spiritual master of Prince Dara Shukoh.

Additional Information

• Dara Shukoh is the eldest son of emperor Shahjahan, was killed after losing the war of succession against his brother Aurangzeb.
• Dara Shikoh is described as a “liberal Muslim” who tried to find commonalities between Hindu and Islamic traditions.
• He translated into Persian the Bhagavad Gita as well as 52 Upanishads.

The correct answer is It signifies that you are on a rural road.

Key Points

• Orange strips on village roads:
  • They signify that you are travelling on a rural road.
  • India has a rural road network of 3.93 lakh km at present.
  • The orange strip represents the Pradhan Mantri Gram Sadak Yojana.

Additional Information

• The green-coloured milestones:
  • They signify you are on a state highway.
  • India has a 176,166 km long state highway network as of 2016.
  • They connect different cities of a state.
• The blue or black and white strips:
  • They signify you are inside a city or on a district road.
  • India has a district road network of 561,940 km at present.
• The yellow-coloured milestones:
  • They signify you are on a national highway.
  • India has a 151,019 km-long national highway network as of 2021.
  • They connect different cities in different states.

• Zero Waste is a whole system approach to resource management centered on reducing, reusing, and recycling.
• Generally, “Zero Waste” is a philosophy of eliminating the generation of materials that have no viable or economic option for end-of-use management.
• To make recycling work people buy products made from recycle materials.

Key Points

Features of Zero Waste Management:

• Separation of garbage at the source
• Separate collection of each kind of waste
• Involvement of the community in all activities

Benefits of Zero Waste Management:

• Reducing, reusing and recycling can be a key part of a climate change strategy to reduce our greenhouse gas emissions
• Conserves resources and minimizes pollution
• Promotes social equity and builds community

Thus, all the above are the key features of Zero Waste Management. 

Additional InformationWays to achieve Zero Waste Management:

• Extended Producer Responsibility and Product Redesign
• Reduce Waste, Toxicity, Consumption, and Packaging
• Repair, Reuse and Donate
• Recycle
• Compost
• Down Cycle and Beneficial Reuse
• Waste-Based Energy as disposal​
• Landfill Waste as disposal

The correct answer is Six Months.

Key Points

• If you drive while intoxicated, you can get six months imprisonment.
• According to Section 185 of the Motor Vehicles Act, 1988:
  • (a) The Act prescribes that whoever while driving a motor vehicle has in his blood, alcohol exceeding 30 mg per 100 ml of blood detected in a test by a breath analyser shall be punished with imprisonment of 6 months or with a fine or both.
  • (b) A person who is under the influence of a drug that he is incapable of exercising proper control over the vehicle, shall be punishable for the first offence with imprisonment for a term which may extend to six months, or with a fine of Rs. 2000, or with both; and for a second or subsequent offence, if committed 2 years of imprisonment or with fine of Rs. 3000 or with both.

The correct answer is CNG is mainly methane compressed while LPG is a mixture of propane and butane liquefied.

Key Points 

• Compressed Natural Gas (CNG) :
  • Compressed natural gas (CNG) is a fuel gas composed of methane (CH₄).
  • CNG plays an important role in reducing greenhouse gas emissions from vehicles.
  • It is very environmentally friendly and helps to reduce air pollution.
• Liquid Ptroleum Gas (LPG) :
  • Liquefied petroleum gas (LPG) is a fuel gas composed of a flammable mixture of hydrocarbon gases, specifically propane and butane.
  • LPG is used in heating appliances, cooking equipment, and vehicles.
  • It is increasingly used as an aerosol propellant and a refrigerant replacing chlorofluorocarbons in an effort to reduce damage to the ozone layer.

Conceptual knowledge or understanding refers to the knowledge of, or understanding of concepts, principles, theories, models, classifications, etc.

Key Points

• Discussions and dialogue are helpful in facilitating conceptual understanding of a task among students.
• Initiating and sustaining a lively, productive discussion is among the most challenging activities for an instructor.
• In order for a discussion to be effective, students need to understand the value of actively listening to their peers, tolerating opposing viewpoints, and being open-minded.
• Discussion and dialogue allow the students to interact with each other and help in understanding the concepts.

Thus, it is concluded that Discussions and dialogue is helpful in facilitating conceptual understanding of a task among students.

Key-Points

Noise Pollution:

• Noise Pollution is an unwanted or offensive sound that unreasonably interferes with our daily activities.
• Noise causes stress, leading to illness.
• Therefore any form of noise can be considered pollution.
• It has many sources.
• Most of which are associated with urban activities: road, air and rail transport; industrial noise, construction activity etc.
• Sound is measured in decibels.
• Noise pollution is considered to be caused by sounds louder than 120 decibels.
• Normal conversation is about 60 dB.
• A siren is about 100dB.
• A pneumatic drill used in construction is about 120dB.

Thus, talking is not a source of noise pollution.

Confusion Points

• Talking and shouting are two different practices and have two different noise level.
• Normal talking is not considered a noise pollutant.

The correct answer is Abul Fazl.

Key Points

• Abul Fazl called the Brahma Sarovar of Haryana a miniature sea.
• Braham Sarovar, as the name suggests, is associated with Lord Brahma.
  • Taking a dip in the holy water of Sarovar during Solar Eclipse is considered equal to the merits of performing thousands of Asvamedha Yajnas.
  • Having seen its huge water body, Abul-Fazl during solar eclipse has described the vast water body of this Sarovar as a miniature Sea.

Additional Information

• Abul Fazl was a political advisor and high-ranked official in the Akbar administration.
  • He helped Akbar with the framing of the vision of governance with Sulh-i-kul.
  • It was about peaceful and harmonious relationships among the different religions in his administration.
• He also wrote a three-volume history of Akbar’s reign, titled Akbar Nama.
  • The first volume deals with Akbar’s ancestry.
  • The second volume recorded events from Akbar’s reign.
  • The third volume is the Ain-i Akbari. It deals with Akbar’s administration, including rich statistics on crop diversity, wages, revenue, prices.

A curriculum is a formal plan of educational experiences and activities offered to a learner under the guidance of an educational institution. It is more structured in schools and more flexible in higher education.

Key Points

Principle of curriculum development: The curriculum has to change by the change in social class relationships due to industrial growth, scientific process, and social advancement.

• The principle of correlation: The curriculum is related to the aims and objectives of the society. The aims and objectives of the people in a society have to be fulfilled through the experiences provided. These experiences are planned and spelled out in the curriculum.
• Principle of utility: The curriculum should be of practical use to the pupil and hence should maintain the vocational and technical base. Emphasis should be given to work experiences. It should include subjects and activities useful for children in the present life and in the future.
• Principle of including all the activities: The curriculum is a broad and comprehensive process. The curriculum is much more than classroom instruction. It is not confined to the four walls of the classroom. It should be a focus on the overall development of the student. All the experiences provided during the course both inside and outside the institution are included in the curriculum.
• Principle of Flexibility: The curriculum should be flexible to serve the educational objectives of curriculum Development of the nation and suitable for the needs of the learners at every stage. Any adult education attempt to force uncongenial activities is found to lead to frustration in learners. It should make provision for freedom for learners to choose a course, subjector program of their choice
• The principle of future orientation: Learning should be closely linked with the specific life situations which confront the learner groups and should motivate them towards taking concrete and practical steps to lessen the strain under which they live and work.

Hence, we can conclude that principle of utility states the curriculum should include subjects and activities useful for children in the present life and in the future.

Let point A be (p,−5)(p,−5) and point B (2, 7) and distance between A and B = 13 units

In the question, it should be f’(2) instead of f”(2) 
Explanation:- f(x) = ∫(0 to x) log(1+x²)
f’(x) = 2xdx/(1+x²)
f’(2) = 2(2)/(1+(2)²)
= 4/5

The second tower is smaller than the first tower so let the height of the first tower is h So a part of it is equal to 60m so the remaining height is h-60 m
Tan 30=perpendicular/base

It is the identity equation

In the fraction equation

Taking LCM

• We know that, 1² = 1, 2² = 4, 3² = 9, 4² = 16, 5² = 25
• Therefore the set A = {1, 4, 9, 16, 25...} can be written in set builder form as: 
  A = {x: x is the square of a natural number}

Comparing the equation with the standard form ax²+2hxy+by²+2gx+2fy+c=0
a=2,h=−3/2,b=5,g=3,f=−3/2,c=5
Δ=abc+2fgh−af²−bg²−ch²
=(2)(5)(5)+2(−3/2)(3)(−3/2)−(2)(−3/2)²−(5)(3)²−(5)(−3/2)²
=50+27/2−9/2−45−225/4
=−169/4 is not equal to 0
Descriminant =h²−ab
=(−3/2)²−(2)(5)
= 9/4−10
= −31/4<0
So, the curve represents either a circle or an ellipse
a is not equal to b and  
Δ/a+b = −(169/4)/2+5
=−169/28<0
So, the curve represents a ellipse.

Let required radius be R. Then according to the question,

Set of rational numbers { x: x=p/q where p and q are integers and q≠0}.
Set of real numbers is not a subset of X. Set of natural numbers, whole numbers, integers are subset of X.