HSSC TGT Math Mock Test - 6 Free Online Test 2026

The correct answer is A-IV, B - I, C - II, D - III.

The correct match:

Additional Information

• Nitrogen (N2) is a colourless, odourless and tasteless gas that makes up 78.09% (by volume) of the air we breathe.
• It is nonflammable and it will not support combustion.
• Chlorofluorocarbon formerly used as a refrigerant and as a propellant in aerosol cans.

The greenhouse effect is increasing due to the change in the concentration of greenhouse gases.

Key-Points

Greenhouse gases:

• They can absorb and emit the radiant energy within the thermal infrared range
• Some of the major greenhouse gases are water vapor, carbon dioxide, Methane, CFC, etc.
• Some GHG from industrial sources are,
  • ​Hydrofluorocarbons (HFCs)
  • Perfluorocarbons (PFCs)
  • Sulfur hexafluoride (SF6)
  • Nitrogen trifluoride (NF3)
• GHG block the earth's heat going to space by terrestrial radiation
• So this effect traps the heat energy and gradually cause global warming

Important Points

• Some of the greenhouse effects are global warming, climatic change, sea-level change,
• The concentration of GHG is gradually increasing in the atmosphere. For example, according to the UN climate change conference bulletin, the concentration of CO₂ has increased by 147% in 2018 than that pre-industrial level measured in 1750.
• The growth rate of CO₂ increased from 1.42 ppm/yr to 1.86 ppm/yr and to 2.06 ppm/yr in the concerning decades 1985–1995, 1995–2005, and 2005–2015.
• It is shown by the National Oceanic and Atmospheric Administration (NOAA) Annual Greenhouse Gas Index, the radiative forcing by long-lived greenhouse gases (LLGHGs) increased by 43%, with CO2 accounting for about 80% of this increase from 1990 to 2018.
• Atmospheric methane reached a new high of about 1869 parts per billion (ppb) in 2018 and is now 259% of the pre-industrial level.
• The concentration of Nitrous oxide 331.1 parts per billion in 2018 which is 123% of pre-industrial levels.

So it is clear that the concentration of GHG is gradually increasing as an effect of industrialization and developmental processes. Therefore, the greenhouse effect is increasing due to changes in the concentration of green-house gases.

The correct answer is 1803.

Key Points

• In 1754, Bahadurgarh was founded by Aziz-ud-din Alamgir II.
  • The Mughal Emperor, Alamgir II, was the Sultan of Delhi from 1754 to 1759.
  • When he founded the city, it was named Sharafabad.
  • After Bahadur Khan and Tej Khan, the jagir was taken over by the Scindias in 1793.
    • Scindia lost this area to the British during the rule of Daulat Scindia in 1803.
    • General Lord Lake was successful in capturing Bahadurgarh.
    • He then transferred control of the city government to Nawab Abdul Rahman Khan of Jhajjar's brother Mohammad Ismail Khan.

Important Points

• After the abolition of Jhajjar as a state, in 1997, Bahadurgarh came under the new Jhajjar district of Haryana.

In the teaching-learning process, visually impaired children suffer from an issue with sight or vision but when they are facilitated with the right training and tools, they develop a good literacy ability. ​

Key Points

Let's look at some strategies for adapting materials for students with visual impairments:

• Text: The kind of text adaptations you make will depend on your students' individual needs and preferences. Some examples are braille, large print, assistive devices, tactile books, and audiobooks.
• Braille: Some students may read braille, in which case you should include a variety of braille books in your classroom library. Another option is to purchase braille-print books, which have both braille and printed text on each page so that sighted students and adults can read along with students who have visual impairments.
• Large Print Books and Assistive Devices: Large print books can be helpful for students with limited vision. Some students may also wish to use their assistive devices to help them view regular print.
• Tactile globe: In spite of the importance of the globe as an educational and cultural tool, for visually impaired users, common globes are just spherical objects. Although there are commercially available globes for visually impaired users. These globes have convex and concave features on the surface denoting coastlines and country borders which will useful for visually impaired students.
• Screen reading software: Screen readers are software programs that allow blind or visually impaired users to read the text that is displayed on the computer screen with a speech synthesizer or braille display.

Hint 

• Books with small prints will not help visually impaired students and will hinder the learning of visually impaired students.

Hence, we can conclude that the books with small print will NOT be beneficial for a student with visual impairment.

The correct answer is Increase in groundwater level.

Key Points

An increase in groundwater level is not a consequence of deforestation.

Deforestation

• It is a very broad term, which consists of cutting of trees including repeated lopping, felling, and removal of forest litter, browsing, grazing, and trampling of seedlings. It can also be defined as the removal or damage of vegetation in a forest to the extent that it no longer supports its natural flora and fauna.
• Deforestation not only affects the climate by increasing the atmospheric level of carbon dioxide but also affects the environment by inhibiting water recycling, triggering severe flooding, aquifer depletion, soil degradation, and the extinction of plant and animal species.
• Deforestation leads to an increase in soil erosion and a decrease in rainfall.
• Causes of Deforestation: The most common reason for deforestation is the cutting of wood for fuel, lumber, and paper. Another important cause relates to the clearing of forest land for agriculture, including conversion to cropland and pasture. The main causes of deforestation are:
  • Agriculture
  • Shifting cultivation
  • Demand for firewood
  • Wood for industry and commercial use
  • Urbanization and developmental projects
  • Overgrazing of forests

Language learning is a result of deliberate and conscious effort for a better understanding of foundational skills of language learning. It refers to have a basic knowledge of grammatical rules and their use in communication.

Key Points

Pavlov had identified a fundamental associative learning process called classical conditioning. Classical conditioning refers to learning that occurs when a neutral stimulus (e.g., a tone) becomes associated with a stimulus (e.g., food) that naturally produces a behavior. After the association is learned, the previously neutral stimulus is sufficient to produce the behavior.

Classic conditioning- Ivan Pavlov, a Russian psychologist has propounded the 'Theory of Classical Conditioning which emphasizes that learning as a habit formation is based on the principle of association and substitution.

• This is the simplest form of conditioning, described Pavlov, a Russian Psychologist.
• Conditioning is a term used to describe the process by which a neutral stimulus gains the power to elicit a specific conditioned response.
• This is explained through the experiments done by Pavlov. He associated the presentation of food to the dog with another stimulus as the sound of the bell.
• After giving some trials in which the bell preceded the presentation of food, the dog started salivating at the sound of the bell.
• So a habit was developed by associating food with a bell .same we can use during the classroom when teaching about words.

Important Points

Educational implication of classical conditioning in language learning

• In the classroom context when words are associated with pictures or meaning in language learning is an example of classic conditioning. Patterns of stimulus-response (also represented as the equation S>R) form the basis of the explanation of language learning that has been given by the school of Behaviourist psychology.
• The principle of classical conditioning is used by teachers in classroom teaching for language learning and subjects like Mathematics.
• The classical conditioning of responses to the meaning of words associated with pictures.
• It can be used to develop a favorable attitude towards language learning and learning of other subjects.
• It develops good habits of language learning and moral learning and eliminates the bad habits in students.

Additional Information

• Operant Conditioning- The theory of B.F. Skinner is based upon the idea that learning is a function of change in behavior. Change in behavior means a person's response (individual/child) to the event (stimuli) that occur in the environment.
• Trial and error method- A person makes a number of; trials some responses do not give satisfaction to the individual, but he goes on making further; trials till he gets a satisfactory response.
• The Discovery method of learning is a method of inquiry-based instruction. Jerome Bruner is often credited with originating discovery learning in the 1960s.
  • He argues that “practice in discovery for oneself teaches one to acquire information in a way that makes that information more readily viable in problem-solving”.
  • Discovery learning takes place in a problem-solving situation where the student draws on his/her own experience and prior knowledge.
  • It is a method of instruction through which students interact with their environment by exploring and manipulating objects and performing experiments.

Hence, we can conclude that associating words with pictures or meanings in language learning is an example of classic conditioning.

Concept:

• Water is a cyclic resource with abundant supplies on the globe.
• Approximately, 71 per cent of the earth’s surface is covered with it but freshwater constitutes only about 3 per cent of the total water.
• In fact, a very small proportion of fresh water is effectively available for human use.
• The availability of fresh water varies over space and time.
• Water is one of the most important resources on earth as it is required for all day to day activities.
• It is required for drinking, washing, cooking as well as forms an essential part of the body of all living organisms.
• Geographically, water is required to ensure a balance of seasons.

Explanation:

• Water scarcity will possibly pose the greatest challenge on earth.
• It is because of increased demand coupled with shrinking supplies.
• There is over utilisation of water due to increasing population which is also one of the causes of increasing water pollution.
• Water pollution is the addition of unwanted material into water that makes it unfit for human consumption.
• With increasing reliance on water bodies for waste disposal etc, there has been ever-increasing water pollution.

∴ We should conserve water because:

• less water is available for usage
• the demand for water has increased
• water pollution has increased

The correct answer is 5.

• Kundli-Manesar-Palwal (KMP) Western Peripheral Expressway is the six-lane expressway passes through five districts in Haryana i.e Sonipat, Jhajjar, Gurugram, Mewat, and Palwal.
• It will be connecting to four major highways i.e Delhi-Ambala-Amritsar, Delhi-Agra-Varanasi-Dankuni, Delhi-Jaipur-Ahmedabad-Mumbai, and the Delhi-Hisar-Fazilka-India-Pakistan border.
• The expressway will provide an alternative route to vehicles, especially heavy vehicles to go towards Uttar Pradesh and Rajasthan through the national capital.
• The total length of the expressway is approx. 135kms.

The correct answer is 2,00,000/-.

• The amount of prize money that is given to the recipient of the Rani Laxmi Bai Award in Haryana is Rs 2,00,000/-.
• The awardees are also felicitated with Rani Laxmi Bai memento.

Key Points

• Rani Laxmi Bai Award is organized by the Department of Sports and Youth Affairs under the Government of Haryana.
• The main aim of the award is to honor the Sportswomen of Haryana who have done exceptional contributions in the field of sports for over 20 years or more.
• This award is given for excellence in sports and lifetime achievements for the female sportsperson.
• Tie/ Scarf, Scroll, and Blazer are the other rewards for the selected sportswoman.

The correct answer is Hardeep Doon.

Key Points

• Haryana has got its first Traffic ADGP.
• IPS officer Hardeep Doon has been given the responsibility of this.

Additional Information

• On behalf of Home Minister Anil Vij, he has been asked to comprehensively improve the traffic system of the state.
• Also asked to make 15 permanent traffic rules on the lines of Delhi, for which the dateline of 31st December was fixed.
• Rajesh Jogpal -
  • He has been appointed as the standard chairman of Modern Pythian Games Haryana.
• Women's World Hockey Goalkeeper of the Year Savita Poonia has been selected.
• Santosh Yadav -
  • He was made the chief guest at the Vijayadashami festival by the RRS.​

The correct answer is 10.

• The Common Services Centers (CSC), also called as Atal Seva Kendras in Haryana.
• There are ten Atal Seva Kendra in Bhiwani district in the urban region while 300 rural Atal Seva Kendra is also there.
• Common Services Centers (CSC) scheme is a mission mode projects under the Digital India Programme.

Notes:

• Important demographics of Bhiwani district:

The correct answer is Small artisans.Key Points

• 'Saint Guru Ravidas Sahayata Yojana' is started by Govt. of Haryana for Small artisans.

'Saint Guru Ravidas Sahayata Yojana':

• ​The Haryana Chief Minister, Mr. Manohar Lal, announced that an interest-free loan of Rs 25,000 would be provided to small artisans under Saint Guru Ravidas Sahayata Yojana, and hostels would be opened in the name of Baba Saheb Dr. Bhim Rao Ambedkar in 11 districts of the state.
• He made this announcement while addressing the state-level Samrasta Diwas Samaroh organized on the occasion of Guru Ravidas Jayanti in Bhiwani.
• Antyodaya Karyalayas would be set up at the tehsil level to give information about the welfare schemes for the Scheduled Caste and Backward Classes.
• The benefit of these schemes could be taken by applying online.
• The Chief Minister said information about and benefit of the 300-odd schemes of the Central and state government did not reach eligible beneficiaries.
• Therefore, in order to provide complete information about these schemes under one roof, and adhere to the principle of Antyodaya given by Pt. Deen Dayal Upadhyaya Ji to uplift every section of society, Antyodaya Karyalayas would be set up.
• Referring to the old and deprived artisan he had met during his visit to Shahabad, the Chief Minister said he had decided to initiate the scheme to benefit such people.
• Saint Ravidas Sahayata Yojana would be implemented throughout the state.
• In order to clear the backlog of 200 posts reserved for Scheduled Castes and Backward Classes, the government has invited applications.
• Now, steps have been initiated to clear the backlog of vacancies from previous years.

The correct answer is Adding Lime.

• Soil pH of acidic soil can be improved by adding Lime.

Key Points

• The pH of highly acidic soils can be raised by incorporating limestone into the soil.
• Hydrated lime works quicker, but over liming is more likely.
• pH is measured on a logarithmic scale from 1 to 14, with 7 being neutral.
• A soil with a pH of 4 has 10 times more acid than soil with a pH of 5 and 100 times more acid than soil with a pH of 6.

​Additional Information

• Soil pH is a measure of the concentration of hydrogen ions in the soil solution.
• The lower the pH of the soil, the greater the acidity.
• pH should be maintained at above 5.5 in the topsoil and 4.8 in the subsurface.
• A well-maintained soil pH will maintain the value of the soil resource, maximize crop and pasture choice, and avoid production losses due to low pH.

The correct answer is Devender Sura.

• Devender Sura is popularly known as the Tree Man of Haryana.
  • Devender Sura is called so because he has been planting trees in his as well as many other nearby districts.
  • His aim is to make these places greener and healthier to live in.

Additional Information

• Jadav Payeng is an environmental activist and forestry worker from Majuli.
  • He is popularly known as the Forest Man of India.
  • He is also called as "Molai".
• Abul Bajandar is known as the Tree Man of Bangladesh.

The correct answer is 2006

Key Points

• To promote sustainable development of forest resources in the State, Haryana Government framed its own Forest Policy in 2006.
• The policy has fixed the goal of achieving 20% Forest and Tree Cover in the state in a phased manner.
• The forests in Haryana are classified as Reserve Forests, Protected Forests, Unclassed Forests, Areas closed under section 38 of Indian Forest Act, 1927 and Areas closed under section 4 & 5 of Punjab Land Preservation Act, 1900.
• Blocks of Reserve Forest area are mainly confined to the Shivalik ranges in Panchkula and Yamunanagar districts.
• Small blocks of Reserved Forest are found at a number of places in the districts of Yamunanagar, Kaithal, Ambala, Jind and Hisar.
• The majority of forests in the state belong to the Subtropical dry deciduous category whereas subtropical thorn forests are found only in the Aravalli hills in the southern parts of the state.
• Pine forests are located at higher reaches in the Protected Forests of Morni Hills in Panchkula district, whereas Sal Forests dominate the Reserve Forests in the Shiwaliks of Yamunanagar district.

The correct answer is The vehicle should be stopped.

Key Points 

• Traffic Light Signals:
• The lights present in electronic traffic signals are:
  • Red
  • Yellow/Amber
  • Green
• RED light:
  • ​​It means that you must come to a complete stop behind the stop line.
  • Crossing the stop line is an offence.
• AMBER colour light:
  • It means CAUTION.
  • When the amber light turns on it gives you a signal to be ready for the go.
• ​GREEN light:
  • It means GO through the intersection carefully and slowly.

Additional Information 

• A flashing RED light:
  • It means you must come to a full stop and may proceed only when the road is safe and clear.
• Flashing Amber Signal:
  • It means You should slow down and proceed with caution.

The correct answer is As per the norms of the Bureau of Indian Standards.

Key Points

• The new notification issued by The Ministry of Road Transport & Highways dated November 26, 2020, states that:
  • Helmets for two-wheelers shall bear the Indian Standard Mark under a license from the Bureau of Indian Standards as per the Scheme-I of Schedule-II of BIS (Conformity Assessment) Regulations of 2018.
  • It came into effect on June 1, 2021.

The correct answer is Vehicle with Siren/lights.

Key Points

• The free passage should be given to emergency vehicles while its multi-toned horn and the flasher are on.
• When an emergency vehicle, with its multi-toned horn and light flasher on, is approaching the person driving or riding such other vehicle shall:
  • Yield the right of way to the emergency vehicle.
  • Stop, if required, and remain stationary in that position until the emergency vehicle has passed.

Additional Information

• As per Rule 27 of the Motor Vehicles (Driving) Regulation, 2017,
  • Emergency Vehicle:
    • Includes a vehicle used as an ambulance or for fire-fighting or for salvage purposes or a police vehicle,
    • It shall operate the multi-toned horn (siren) and the multi-coloured light with flasher only when the vehicle is responding to an emergency call or an alarm.
•  An emergency vehicle, while its multi-toned horn and the flasher are on, shall have the right of way over all the other vehicles.

Physically challenged children refer to children who are suffering from locomotor and neurological disabilities and these disabilities hinder them from living a normal life.

Key Points 

• It is the responsibility of a teacher never to demotivate the physically challenged children and always encourage them to take part in different learning activities.
• The teacher will sensitize adult students toward helping disabled children in performing tasks is appropriate as this statement acknowledges the presence of children with physical disabilities in the classroom and indicates that the teacher is taking steps to ensure that they receive appropriate support and assistance from their peers and adults.

Hence, we can conclude that the teacher will sensitize adult students toward helping disabled children perform tasks that would be most appropriate.

Concept:

The direct consequences of man-​made climate change include:

• Rising maximum and minimum temperatures.
• Rising sea levels 
• Higher ocean temperatures 
• An increase in heavy precipitation (heavy rain and hail)
• Shrinking glaciers
• Thawing permafrost

The indirect consequences of climate change, which directly affect us humans and our environment, include: 

• An increase in hunger and water crises, especially in developing countries.
• Health risks through rising air temperatures and heatwaves. 
• Economic implications of dealing with secondary damage related to climate change 
• Increasing spread of pests and pathogens
• Loss of biodiversity due to limited adaptability and adaptability speed of flora and fauna  
• Ocean acidification due to increased HCO₃ concentrations in the water as a consequence of increased CO₂ concentrations.

So Ozone layer depletion is not an effect of climate change.

National Education Policy (NEP) mentions various timelines for important themes and activities.

Key Points

• For training of teachers, NEP emphasizes continuous professional development (CPD) for improvement of skills of teachers and learning the latest innovations and advances in their professions through multiple modes, including in the form of local, regional, state, national, and international workshops as well as online teacher development modules.
• Each teacher is expected to participate in at least 50 hours of CPD opportunities every year for their own professional development, driven by their own interest, covering the latest pedagogies regarding foundational literacy and numeracy, formative and adaptive assessment of learning outcomes, competency-based learning, and related pedagogies, such as experiential learning, arts-integrated, sports-integrated, and storytelling-based approaches, etc.

Therefore, for continuous professional development and self-improvement, every teacher is supposed to at least devote 50 hrs every year.

The standard equation of a circle is given by:

(x-a)² + (y-b)² = c²

Where (a,b) is the coordinates of center of the circle and c is the radius. 
if c become zero then the radius of circle become zero then there will be no circle exist hence the radius can not be zero. So the correct option is D
 

We have total cards = 52
4 categories=spades,clubs,diamonds and hearts
Spades and clubs are black cards
No. of favourable outcomes=13+13=26
Probability of getting a black card= no. of favourable outcomes/total no. of outcomes
=26/52=1/2

Side of the cube = ∛729 = 9 meters
So the answer = Side √3 = 9√3 meters
Hence, Option C is correct.

Rank of a non zero matrix is always greater than or equal to 1.

Given: Radius (r) = 10 cm
Let side of the square be x cm
Now. using Pythagoras theorem.
x² + x² = (2r)² ⇒ 2x² = (20)²
⇒ 2x² = 400 ⇒ x² = 200 sq. cm
Therefore. area of the square = 200 sq. cm. 

xy - 3x - 2y + λ = 0.
Then abc + 2fgh − af² − bg² − ch² = 0
⇒ 3/2 − λ/4 = 0
⇒ λ = 6
∴ Equation of asymptotes is xy-3x-2y+6=0
⇒ (x-2)(y-3)=0
⇒x - 2 = 0 and y - 3 = 0

Plane is parallel to line i.e., normal of plane is perpendicular to the line
2 × 1 + (-1) × (-2) + 1 × a = 0
2 + 2 + a = 0
a = - 4

Variance = 15 
New variance = 2^2*15 
= 4*15 
= 60