HSSC TGT Math Mock Test - 1 Free Online Test 2026

Key Points

Water Harvesting:

• Water harvesting is a practice to conserve water by collecting rainwater in an organized way.
• The rainwater is not allowed to flow and get wasted but collected in tanks.
• The main purpose however is not the collection but the enhancement of groundwater level. 
• The collected water through tubes is made to recharge groundwater.
• Maintenance of groundwater is long term sustainable structure for water conservation.
• So, water harvesting is used to increase the groundwater level by an organized collection of groundwater.
• So, water harvesting is a method that Increases the groundwater level.
• Water harvesting is an old practice in India and is now considered a more efficient way of water management than dams. 
• People are adopting this method and it is also being encouraged by the administration and government.

​Thus, the main purpose of rainwater harvesting is to recharge the groundwater table.

Human development refers to the psychosocial, physical, and cognitive development of humans. It extends to the entire lifespan of humans. Physical development of humans involves growth and changes in the brain and the body including sense organs, motor skills, health, etc.

• Motor development occurs in an orderly sequence as infants move from reflexive reactions (e.g., sucking and rooting) to more advanced motor functioning. This development proceeds in a cephalocaudal (from head-down) and proximodistal (from centre-out) direction.

Important Points

Motor development is divided into two groups:

• Gross motor development: The development of gross motor skills is concerned with strength and speed as it refers to the development of larger muscles like arms and legs for bigger movements such as walking, jumping, etc.
• Fine motor development: The development of fine motor skills is concerned with flexibility and dexterity as it refers to the development of small muscles like wrists and fingers for smaller movements such as writing, grasping small objects, etc.

Hence, it can be concluded that the chronological growth from reflexive reactions to more advanced functioning is termed motor development.

The correct answer is 1, 2, 3, 4 and 5

Key Points

Rainwater Harvesting Methods

Kulhs

• These are water harvesting methods used in the hilly areas of the Western Himalayas. 
• These systems are trenches that were dug to help divert water from rivers to be used for agriculture and into the villages for domestic use.
• They are used to transport melted water from glaciers to villages due to the effect of gravity.
• Under this system, water from the streams is diverted into man-made channels that carry this water to various villages.
• They serve as a source of canal irrigation for agricultural crops.
• Being a hilly area, it was not possible to build tube wells and borewells in Himachal Pradesh. That's why ';kulhs' came into existence.

Khadin and Jhodas

• This method is used in the arid areas of Rajasthan for water conservation.
• In arid areas, agricultural fields are converted into rain-fed storage structures.
• It is an indigenous construction designed to harvest surface runoff water for agriculture.
• Its main feature is a very long (100-300 m) earthen embankment built across the lower hill slopes lying below gravelly uplands.
• The khadin system is based on the principle of harvesting rainwater on farmland and subsequent use of this water-saturated land for crop production.

Madakas, Ahar, Pynes, Surangas

• Ancient rainwater harvesting methods followed in India include Madakas, Ahar, Pynes, Surangas. Hence option 4 is correct.
• They were practised majorly in rural areas.

Additional Information

• Tankas are big concrete containers which are made for rainwater harvesting.
• In this method, hilltops are cut in a way that they act like a big tank to store the water
• The Bamboo Drip Irrigation system is used in Meghalaya.
• It is a 200-year-old system of using bamboo pipes to transport.
• Bamboos are connected to the source of flowing water to the fields
• About 18-20 litres of water enters the bamboo pipe system, gets transported over hundreds of metres, and finally reduces to 20-80 drops per minute at the site of the plant.

Assessing the needs of the child is important to understand the child and what the child requires to grow and develop. Assessing child's need gives a thorough idea about the child's strengths and weaknesses.

Key Points

• Assessing health information is not a necessary method for estimating the needs of a child.
• Health information gives a thorough details about the health of the child and physical development of the child. Though, it is not the immediate need of the child.
• Assessing health information is necessary, though it is not a child's need.
• Child's interests, learning style, and preferences gives a detailed insight about the child's need 
• Assessing child's interest help to better understand the child and what child requires to grow cognitively and emotionally
• Assessing child's learning styles help to identify better education plans for effective outcomes. 
• Understanding child's preferences gives a detailed idea about the child and his needs.

Thus it can be concluded that health information is not a necessary method for estimating the needs of a children. 

The correct answer is Alluvial soil.

Key Points

• In Haryana state, alluvial type of soil is mostly found.
• Alluvial soil is having silt, sand, clay, and gravel as well as much organic matter.
• It is porous as well as light, so it is easily tillable.
• On the basis of its ages alluvial soil is divided into Bhangar (Old alluvium) and Khadar (New alluvium).
• It is among the most fertile soils of India.
• Major crops grown on this soil are rice, wheat, sugarcane, cotton, jute, potato, and vegetables.

Additional Information

• Laterite soil:
  • Laterite Soil is poor in lime, phosphorous, calcium, and nitrogen.
  • Bricks are made for house construction by laterite soil.
  • Laterite Soil is peculiar to India- Andhra Pradesh, Tamil Nadu, West Bengal, and Odisha.
  • Cashew, Tapioca, Coffee, and Rubber are the important crops of laterite soil.
• Black soil:​
  • Black soil is also known as regur soil.
  • Black soil has a high water-retaining capacity.
  • Black soil has poor nitrogen content.
• Red and yellow soil:​
  • It is found in the eastern part of the peninsular region covering Chotanagpur Plateau, Odisha, eastern Chhattisgarh, etc.
  • It is suitable for the production of crops such as wheat, rice, millets, pulses, etc.
  • Red colour due to wide diffusion of iron in crystalline and metamorphic rocks.
  • Yellow colour when it is in hydrated form. These soils are fine-grained and fertile.
  • It is poor in nitrogen, phosphorus and humus.

The correct answer is 70.

Key Points

• The major crops of the state are wheat and rice.
• Haryana is the second largest contributor to India’s central pool of food grains.
• When the green revolution started in India in 1970, Haryana contributed significantly.

The correct answer is option 2.

Key Points

• The Gross State Domestic Product (GSDP) of the state for 2022-23 (at current prices) is projected to be Rs 9,94,195 crore. This is a growth of 11% over the revised estimate of GSDP for 2021-22 (Rs 8,95,671 crore).
• The development of infrastructural projects (such as public libraries, and sports facilities) in Urban Local Bodies is the main objective of the Divya Nagar Scheme announced in the Haryana State Budget 2022-23.
• Rs 883 crore has been allocated towards strengthening urban hospitals and dispensaries.
• Rs 52 crore has been allocated towards National Urban Health Mission.
• Rs 6,826 crore has been allocated for pension under social security schemes.

The correct answer is P Raghavendra Rao.

Key Points

• Haryana State Finance Commission for Panchayats:
  • Articles 243 (I) and 243 (Y) of the Constitution provide for the establishment of a State Finance Commission once every five years.
  • The First Haryana State Finance Commission was established on the 31st of May, 1994.
  • In exercise of the powers conferred by article 243-I of the Constitution of India and section 213 of the Haryana Panchayati Raj Act, 1994.
  • The Governor of Haryana hereby makes the rules providing for the Constitution of State Finance Commission and regulating the qualifications and appointment of its Chairman and other members.
  • Former Haryana bureaucrat P Raghavendra Rao will head the Haryana’s sixth State Finance Commission, an institutional mechanism for division of resources between the state government and the Panchayati Raj institutions (PRIs) and the urban local bodies for five years (2021-22 to 2025-26). Hence, Option 4 is correct.
  • The commission would make recommendations on “distribution between state and Zila Parishad, panchayat amenities and gram panchayats of the net proceeds of taxes, duties, tolls, and fees leviable by state”.

The correct answer is Central Haryana.

Key Points

• Khoria dance is famous in Central Haryana.
  • It ​is performed only by women at weddings and festivals.
  • It is an alternative of the Jhumar dance.
  • The speed is the most significant feature of this dance.
  • The performers wear full gold-work skirts and colored chunries and heavy rustic jewellery.
  • The simple movements acquire form and colour with the swirling of the flared skirt and these steps later increase the tempo.
  • This dance is usually performed during the long wait for the bridegroom to bring his new bride home.
  • The women mime the entire wedding ceremony in the performance.

Concept:

• India ranks high when it comes to the number of accidents on the road.
• In recent years, improvement has been seen in this area.
• With the rapid increase in the number of vehicles on the road, the traffic conditions are under a lot of pressure.
• Therefore, road safety is one of the most serious public health issues in our country.
• It has an impact on everyone, whether one drives a vehicle, walks or rides a cycle.

Explanation:

Crossing the road:

• Always double-check that the road is clear before you cross.
• Look to the right first because traffic will be closer to you on that side.
• Then, look to the left to see if any vehicles are coming.
• Finally, check right again right before you cross to make sure the road is clear.
• If you think you might see something coming, stop and wait to see if it’s anything to worry about.
• It’s better to take your time and be safe.

Thus, it is safe to cross at a zebra crossing when the traffic on both sides has stopped.

Additional Information

A few important road safety tips are

• Do not use your mobile phone while driving.
• Use seatbelts even while sitting at the back seat of the vehicle.
• Do not drink and drive.
• Always adhere to the speed limit.
• Take special care with regard to children, senior citizens and pedestrians.
• Do not drive if tired.
• Pedestrians should walk cautiously and make use of zebra crossing.
• Stay alert and observant while driving.
• Keep distance from other vehicles while driving.
• Always wear helmets and seatbelts.
• Drive on the left side of the road.
• Zebra crossing must be used to cross the road.
• A footpath should be used while walking.

Concept:

• India ranks high when it comes to the number of accidents on the road.
• In recent years, improvement has been seen in this area.
• With the rapid increase in the number of vehicles on the road, the traffic conditions are under a lot of pressure.
• Therefore, road safety is one of the most serious public health issues in our country.
• It has an impact on everyone, whether one drives a vehicle, walks or rides a cycle.

Explanation:

• According to Road Regulations of India, No driver shall take a 'U-turn where 'U-turn is especially prohibited and on a busy traffic road.
• If a U-turn is allowed the driver shall slow, signal by hand as for a right turn, watch in the rearview mirror and turn when safe to do so.
• Maintaining a safe distance will give you enough time to react in case the vehicle ahead makes a sudden stop.
• This reduces the chance of a collision and ensures the safety of passengers.
• Always stop your vehicle before the stop line at an intersection during the red light.
• As per the Noise Pollution (Regulation and Control) Rules, 2000, An area not less than 100 meters around hospitals, educational institutions, and courts may be declared as a silent area or zone.

Thus, 

You can take U-turn anytime on the road: Incorrect

Always stop your vehicle before the stop line at an intersection during a red light: Correct

Proper distance should be maintained from the vehicle in front of you: Correct

Avoid using horns in places like hospitals and schools unless absolutely necessary: Correct

The correct answer is Should not drive in the silence zone at all.

Key Points

• Driving in a silence zone is allowed.
• The Motor Vehicles Act of 2017 (Regulation 23) deals with the "Use of horns and silence zones".
• It states that:

  • (1) Unnecessary use of horns is prohibited.

  • (2) As far as may be, the horn shall be sounded only when the driver apprehends danger to himself or to any other road user.

  • (3) The driver shall sound the horn when directed by the mandatory sign.

  • (4) The driver shall not-

    • (a) sound the horn continuously or repeatedly or for a duration longer than necessary or in residential areas or in a silence zone indicated by a mandatory sign;

    • (b) make use of a cut-out by which exhaust gases are released other than through the silencer;

    • (c) fit or use an air horn or a multi-toned horn giving a harsh, shrill, loud or alarming noise except as provided in sub-rule (3) of rule 119 of the Central Motor Vehicles Rules,1989;

    • (d) drive a vehicle which creates undue noise or causes an alarming sound when in motion.

Important Points

• Section 194 F of the Motor Vehicles Act, 1988 deals with the penalties for "Use of horns and Silence zones":
  • A person shall be punishable with a fine of Rs. 1,000 and for a second or subsequent offence with a fine of Rs. 2,000 under these circumstances:
    • (a) while driving a motor vehicle--
      (i) sounds the horn needlessly or continuously or more than necessary to ensure safety, or
      (ii) sounds the horn in an area with a traffic sign prohibiting the use of a horn, or
    • (b) drives a motor vehicle which makes use of a cut-out by which exhaust gases are released other than through the silencer.

Key Points

Concept:

Ecosystem: 

All organisms such as plants, animals, microorganisms and human beings as well as the physical surroundings interact with each other and maintain a balance in nature. All the interacting organisms in an area together with the non-living constituents of the environment form an ecosystem.

• Biotic Components: It includes producers, consumers and decomposers. All living things have a direct or indirect influence on other organisms in an environment. Ex- Plants, Animals, Microorganism etc.
• Abiotic components: All the in-organic components of the ecosystem, non-living physical and chemical composition of nature are abiotic components. Ex- stones, water, Humus (organic waste), air etc

Additional Information

Explanation:

• The structure of an ecosystem refers to its biotic and abiotic factors and the function of an ecosystem includes energy flow and nutrient cycles
• An ecosystem whose structure and function remains unaltered over a long period of time is considered to be a stable ecosystem
• Oceans are the most stable ecosystem as they are large, deep, and continuous because of which any change in the structure and function is difficult or can be easily resisted
• Coral reefs are a diverse form of the marine ecosystem, which in total may account for a quarter of all ocean species.
• The ratio of fish compared to elasmobranchs such as sharks, skates, and rays – has remained stable for periods of tens of millions of years, despite extreme environmental changes caused by climate shifts of the past.

Socialization is known as the process of inducting the individual into the social world. It is the process through which a person, from birth through death, is taught the norms, customs, values, and roles of the society in which they live It is the means by which human infants begin to acquire the skills necessary to perform as functioning members of their society.

Key Points The role of socialization:

• Socialization prepares people for social life by teaching them a group’s shared norms, values, beliefs, and behaviors.
• The role of socialization is to acquaint individuals with the norms of a given social group or society. It prepares individuals to participate in a group by illustrating the expectations of that group.

Goals of socialization:

• First, socialization teaches impulse control and helps individuals develop a conscience.
• Second, socialization teaches individuals how to prepare for and perform certain social roles—occupational roles, gender roles, and the roles of institutions such as marriage and parenthood.
• Third, socialization cultivates shared sources of meaning and value. Through socialization, people learn to identify what is important and valued within a particular culture.

Conclusion: The term “socialization” refers to a general process, but socialization always takes place in specific contexts. Socialization is culturally specific: people in different cultures are socialized differently, hold different beliefs and values, and behave in different ways. The goals of socialization are to teach us to control biological impulses as children, to develop a conscience that fits with the norms of society, to teach and develop meaning in social life (what is important and valued), and to prepare us for various social roles and how we will perform them. So, from this, we conclude that socialization helps to shape the personality of the individual also. Hence, option (2) is correct.

The developmental stage between childhood and adulthood is known as adolescence.

Key Points

• All adolescents experience feelings of rebellion at one time or another.
• They believe that adults, including their parents, do not understand them, and they do not want to follow adult norms.
• They also enjoy doing things that their parents find objectionable, such as dressing in unconventional ways, getting tattoos, and listening to loud music.
• Almost all adolescents are aware of the "generation gap" between their generation and that of their parents.

Thus, we conclude that Adolescents feel rebelious towards authority because they feel adults do not understand them.

The correct answer is option 2, i.e 1739.

The Battle of Karnal was fought in 1739.

The Battle of Karnal:

• The Battle of Karnal was fought on 24th February 1739 during the invasion of India by Persians.
• Battle of Karnal was fought between Nadir shah (Persian Army) of Afsharid dynasty and Muhammed shah of Mughal empire.
• The Mughal army reached Karnal about 120 km north to Delhi.
• The two forces met in Karnal for battle on 24th February 1739.
• Nadir Shah's army was less than the one-fifth size of his opponent but still, he had a huge victory because it was the well trained and equipped army.

Childhood begins when the relative dependency of babyhood is over, at approximately the age of two years, and extends to the time when the child becomes sexually mature, at about thirteen years on average for a girl and fourteen for a boy. After children become sexually mature, they are known as adolescents.Key Points

• During this long period of time about eleven years for girls and twelve years for boys, marked changes occur in the child both physically and psychologically.
• As boys begin their puberty growth spurt approximately a year later than girls, they tend to be slightly
  shorter and lighter in weight than girls of the same age.
• The growth spurt is completed in girls around the age of 17-19 years as the growth spurt starts in them early all changes happen in them till the age of 19.
• Boys begin growing later than girls and carry on for longer, after the girls have stopped growing. The growth spurt in boys begins around 13- 14 years and ends at 16-17 years.

​​​​Hence, statement I is correct. 

A = Set of all triangles
B = Set of all right triangles
A – B = Set of triangles after removing all right triangles from A
= Set of all triangles which do not have right angle

Given equation of circles are 

S₁ = x² + y² + 2x + 6y = 0 ..................1

S₂ = x² + y² − 4x − 2y − 6 = 0 ............2

Subtract equation 1 - equation 2, we get

S₁ - S₂ = 6x + 8y + 6 = 0

=> 6x + 8y + 6 = 0 ............3

Cente of the circle S₂ is (2, 1)

Now, the length of the perpendicular from the center (2, 1) of of the circle 2 upon the common chord 3 is

l = (6*2 + 8*1 + 6)/√{6² + 8² }

=> l = (12 + 8 + 6)/√{36 + 64}

=> l = 26/√100

=> l = 26/10

=> l = 13/5

Radius of the circle 2 is

r = √{2² + 1² - (-6)}

=> r = √{4 + 1 + 6}

=> r = √11

Now length of common chord = 2√{r² - l² }

 = 2√{(√11)² - (13/5)² }

= 2√{11 - 169/25}

= 2√{(275 - 169)/25}

= 2√{106/25} unit

The given matrix is a skew – symmetric matrix.,therefore , A = - A’.

 Concept:

Calculation:

Hence, option (c) is correct.

Required area :

Since sinq is positive in interval (0, π)

length of arc = 350m
Speed = 7km/hr
In one minute = (7*5/18*60)
=> (35*20)/6
= length of arc/radius
θ = (35*20)/(6*350)
θ = 1/3 radian

Calculation:

The set X is given by

{2, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, 54, 58, 62, 66, 70, 74, 78, 82, 86, 90, 94, 98}.

We want to find the maximum size of a subset S of X such that no two

elements sum to 100.

The pairs in X that sum to 100 are

(2, 98), (6, 94), (10, 90), (14, 86), (18, 82), (22, 78), (26, 74), (30, 70), (34,

66), (38, 62), (42, 58), (46, 54).

Therefore, 

S = {2, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50}

∴ The maximum possible number of elements in S be 13.

Find the HCF of 65 and 117,

117 = 1×65 + 52

65 = 1× 52 + 13

52 = 4 ×13 + 0

∴ HCF of 65 and 117 is 13.

65m - 117 = 13

65m = 117+13 = 130

∴m =130/65 = 2

∠A + ∠C = 180º ...(1)

Also, ∠A - ∠C = 60º ...(2)

On solving (i) and (ii), we get

∠A = 120º, ∠C = 60º