HSSC TGT Math Mock Test - 4 Free Online Test 2026

Stimulus generalization can be defined as when an individual behaves similarly in two similar situations.

Key Points

• The child is conditioned to respond to stimuli in a specific manner, when similar stimuli occur (not the same) the child is more likely to evoke the same response to it as the earlier one.
• In this child develops the connection between two similar stimuli and responds in the same manner.
• Stimuli generalization can occur in both operant and classical conditioning.

Thus to conclude we can say the learning principle in developing the link between two stimuli(snakes) is called stimulus generalization.

Hint

• Reinforcement - Action(reward or punishment) which alters the strength of the response.
• Spontaneous recovery - Re-appearance of conditioned response after a rest phase
• Stimulus Discrimination - The ability of the child to distinguish between two similar stimuli and develop a different response to them.

Psychology is defined as the study that observes and measures mind and behavioural activities.

There are five types of 'psychiatry domain' or psychological domain, viz. biological domain, cognitive domain, development domain, social & personality domain, and mental & physical domain. 
The study of all the five domains is done to conduct research, make assumptions and draw conclusions.

Key Points

• The mental and physical domain is one of the domains of psychology includes abnormal psychology, health psychology and therapies.
• This domain has described the myth people are carrying in their minds about mental disorders, mental illnesses, and imbalance.
• As mental illnesses can be diagnosed in the change of someone's mental skills or physical skills or how they perform a specific task, it helps the psychologists in treating them.
• It not only studies mental skills but also about physical skills as the physical skills of a person also tell a lot about him. Mental processes like how we perceive a concept, how we think, analyze, or take action which has the ability to influence our physical actions or skills we learn.
• The therapies and counselling sessions are not only to treat mental disorders but it is also done to cope with the stress and to live a healthy life.

Hence, it can be concluded that mental or physical skills are included in the psychiatry domain. 

Additional Information

• Mental skills belong to the cognitive domain of psychology.
• Physical and emotional development belongs to social and personality development that is one of the five domains of psychology.

The management of a classroom is a broader concept. It includes those external factors which take place outside the classroom but have a strong bearing on the students behaviour in a classroom.

• Management of a classroom demands that the teacher be resourceful. This can be achieved by deliberate attempts only.

Key Points

• Classroom management includes the pupils' initial behaviour, readiness for the modification of behaviours, their seating in the classroom, setting of the classroom, the prevailing healthy environment etc.
• When the overall environment of the classroom is good under the impact of the teacher, practice of other skills becomes an easy affair for the teacher.
• A conducive classroom environment is the pre-requisite to successful class teaching.
• It results in maximum output in terms of students' performance.
• Relations between the peer group and with teachers also affect the learning environment.
• Students learn more effectively in an environment that meets their basic personal and psychological needs. It cannot be denied that most of the disciplinary problems in the classrooms can be prevented or greatly minimised with a favourable teaching-learning situation.
• In the absence of good classroom management; even a qualified and intelligent teacher proves ineffective.
• Creating a congenial classroom environment and management is one of the managerial skilIs which includes promoting pupil participation, and the guiding behaviour of the learners. This is one of the most important skills which is essential.
• The presence of the teacher in the classroom situations equips him or her with this skill. Everything in the classroom depends upon the over all management of the teacher there.

Important Points A good teacher should:

• create an emotionally pleasant and stimulating environment.
• make the learner to have positive attitude towards educational programmes.
• set meaningful goals
• and make the subject matter meaningful.

Therefore, it can be said that Classroom Management of Learning Activities do NOT include competition among students

The correct answer is Bihar.

Key Points

• State with the highest population density: Bihar
• Union Territory with Highest Population Density: Delhi
• State with the lowest population density: Arunachal Pradesh
• Union Territory with Lowest Population Density: Andaman and Nicobar Islands
• Highest Density District: Mumbai City
• Lowest density district: Lahaul and Spiti

Important Points

• The ratio of people to units of the land area is generally referred to as population density.
• It is calculated by dividing the total population of a country by the total area of the country.
• India's Population Density in 2011 increased to 382 per square kilometer.

The correct answer is ​Haryana.

Key Points

• Haryana has emerged as the best-governed state among 18 large states in the Public Affairs Index (PAI) 2022 released on 14th Oct 2022.
• These rankings were released by the Bengaluru-based Public Affairs Centre (PAC).
• The states are divided into 2 categories - large & small, & the assessment is done based on data from the central govt.
• Sikkim has bagged the top spot among 10 small states.

Additional Information

• ​The Haryana government has announced the One Time Settlement (OTS) scheme 2022 for indebted farmers and members of cooperative credit consumers.
  • Capital: Chandigarh
  • Governor: Bandaru Dattatreya
  • Chief minister: Manohar Lal Khatta
• List Of Haryana Government Schemes in 2022:
  • Parivar Samriddhi Yojana.
  • Labour Handicapped Pension Scheme.
  • Maternity Benefit Scheme for Women Laborers.
  • 5-Star Rated Pump Scheme.
  • Shyama Prasad Mukherjee RURBAN Mission.
  • Widow Pension Scheme.
  • Labour Board House Purchase / Construction Loan Scheme

The correct answer is Niharika.

Key Points

• Niharika has been made the brand ambassador of the 'Girl Child Education Campaign' in Haryana.

Additional Information

• ​Dr. Suman Manjari -
  • She is a retired Inspector General of Police.
  • She is an advisor to Sarathi Jan Sewa Charitable Trust.
  • She announced Niharika as the brand ambassador of Sarathi Trust's Girl Child Education Campaign.

The Haryana government has taken an initiative to facilitate its citizens towards a cashless economy, in the name of ‘Cashless Haryana’. The five main recognized methods of payments are Internet banking, UPI, USSID, e-wallet, and AEPS.

The correct answer is All of the above.

Key Points

• Areas of "No Parking" :
  • The no parking zone or places in which parking is prohibited are:
    • On footpaths or far away from the footpaths.
    • On private properties without the owner’s consent.
    • On the main road or roads with high-speed traffic.
    • On the wrong side of the road.
    • On the path that has unbroken white lines in the centre.
    • Near bus stops, schools, or hospital entrances.
    • In front of any road signs that could possibly be obstructed by your vehicle.
    • Near road crossings, a bend, top of a hill, or near/and on the bridge.
    • Near any traffic signal or pedestrian crossings.

Additional Information

• Parking sign in India:

• No parking sign in India:

The correct answer is Israel.

Key Points

• Israel and Haryana Government have partnered to set up a Horticulture Project in the Karnal district.
• The Haryana government has set up an Indo-Israel horticulture project at Gharaunda in Karnal district at a cost of Rs 6 crore to enable farmers to grow unseasonal vegetables.
• The farmers could contact this vegetable center of excellence for increasing their income.
• This was stated by Chief Parliamentary Secretary Dharambir Singh.
• This project would provide an opportunity to the farmers to grow new kinds of vegetables, which would help them increase their income.
• Under the project, farmers would be provided saplings of the unseasonal vegetables and they would be able to get more yield of the vegetables with less water.
• The unseasonal vegetables would fetch better prices in the mandis.

Additional Information

• The project has been set up over an area of 25 acres of land.
• Under the project, seedlings of various vegetables like tomato, seedless cucumber, and capsicums would be prepared in the greenhouse, poly house, net house and these saplings would be provided to the farmers on subsidy.
• The farmers could contact this vegetable center of excellence for increasing their income.

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

Key Points

• Tomb of Ibrahim Lodi is in Panipat.
  • He was the sultan of Lodi dynasty.
  • Ibrahim Lodi's tomb is actually situated near the tehsil office in Panipat, close to the Dargah of Sufi saint Bu Ali Shah Qalandar.
  • It is a simple rectangular structure on a high platform approached by a flight of steps.
• Tomb of Sheikh Chilli is in Thanesar, it includes two tombs, Mughal gardens and other structures.
• Gujari Mahal is in Hisar.
• Sheesh Mahal is in Farrukhnagar.
  • It was built by Faujdar khan.
  • The Sheesh Mahal was the residential palace of Faujdar Khan, the governor appointed by Emperor Farrukh Siyar, the great-grandson of emperor Aurangzeb. The palace was built by Khan in 1733 AD.

School assembly is an integral part of the school’s daily activities, eventually a part of the school’s first activity of the day. Its purpose is to bring the entire school population together to provide important information, enhance school spirit, and foster a sense of community within the school.

• It has to be planned in a way that nurtures a positive school ethos that stresses care for the self, others, and the pursuit of all forms of excellence. Then it nurtures the development of intrapersonal intelligence.

Key PointsCorrect sequence followed by the teacher for planning a school assembly:

1. Identify two different themes or topics for addressing on two different days of the school assembly.
2. Plan the assembly, motivate and involve your students.
3. Organize and address the assembly.
4. Evaluate the assembly by collecting feedback from teachers and students of the school.
5. Reflect on the assembly and usefulness of the theme for the students.

Hence, it is clear that the correct sequence for planning a school assembly is III, II, I, V, and IV.

The correct answer is Clay.Key Points

• Clayey soil retains the highest amount of water and sandy soil retains the lowest amount of water.
• Clay soil is soil that is comprised of very fine mineral particles and not much organic material. 
• Clay is the smallest particle among the other two types of soil.
• The particles in this soil are tightly packed together with each other with very little or no airspace.
• This soil 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.
• Clay is the densest and heaviest type of soil that does not drain well or provide space for plant roots to flourish.

Additional Information

• Sand is a granular material composed of finely divided rock and mineral particles.
  • Sand has various compositions but is defined by its grain size.
• Silt is granular material of a size between sand and clay and composed mostly of broken grains of quartz.
  • Silt may occur as soil or as sediment mixed in suspension with water.
• Loam is soil composed mostly of sand, silt, and a smaller amount of clay.
  • By weight, its mineral composition is about 40–40–20% concentration of sand–silt–clay.

The correct answer is Virat Singh.

Key Points

• Sh. Virat Singh is the current secretary of the Haryana Staff Selection Commission (HSSC).
• Haryana Staff Selection Commission (HSSC)
  • It ​is constituted by Haryana Government for the recruitment of Group C and D Services.
  • The Commission has been constituted with the purpose of recruiting capable, competent and highly skilled individuals by conducting various examinations for different posts.
  • It consists of five Members including a Chairman appointed by the Haryana Govt. on the recommendation of a collegium consisting of-
    • a Minister of Cabinet Rank
    • Chief Secretary to Govt. of Haryana
    • Legal Remembrance and Secretary to Govt. Haryana, Law and Legislative Department.
  • The Chairman/Member shall cease to be Chairman or Member of the Commission on attaining the age of 68 & 65 years respectively.
• Chairman of HSSC- Shri Bhopal Singh.

Science is the development of thinking in a specific way that involves scientific temper, scientific inquiry, and a sense of humanity. The science teacher must teach the concepts of science in such a way so that it could develop divergent thinking and scientific attitude among learners. The teacher while teaching should encourage the students to individually discover and explore their world by themselves to learn more in a realistic environment by real and direct experiences.

• Generally, in a class there is a student of mixed ability, teachers do not focus only on gifted students and can not plan individual instruction for them. All have to be guided, instructed and teach effectively for best learning outcomes.​

Key Points

Using hands-on activities involving concrete objects for simplification of abstract concepts is the most suitable strategy for mixed class ability. Students with a higher level of understanding will learn abstract concepts easily and students at a lower level will get to learn using concrete objects.

• Through Hands-on activities
  • Ample opportunities have been provided to the learners to work hands-on through observation, drawing, illustration, design, and fabrication and extended learning.
  • to engage the child in exploratory and hands-on activities to acquire basic cognitive and psychomotor skills through, classification, inference, etc.
• The activities are well within the cognitive reach of children and are in the form of stories, poems, plays, craftwork, games, worksheets, interaction, field visits encouraging the creative and aesthetic sense of children.
• The activities are learner-centered, relevant, meaningful, and interesting nurturing the curious and exploratory bent of mind of children.
• These focus on providing learning experiences in and out of the classroom.

Hence, it can be concluded that using hands-on activities involving concrete objects for simplification of abstract concepts is the most suitable strategy for mixed class ability.

Social science teaching needs to be revitalized towards helping the learner acquire knowledge and skills in an interactive environment.

• The teaching of social sciences must adopt methods that promote creativity, aesthetics, and critical perspectives and enable children to draw relationships between past and present, to understand changes taking place in society.

Key PointsThe teacher is using the narrative approach strategy as she is telling a story about a girl to teach the concept of water.

• The narrative is an interpretive approach in the social sciences and involves using storytelling methodology.
• The story becomes an object of study, focusing on how individuals or groups make sense of events and actions in their lives.
• This method is best suited as students would be able to know about the importance of water through the story which helps them in understanding the concept.

Thus, it is concluded that the teacher is using a narrative approach strategy.

Let E be the event that the man reports that six occurs in the throwing of the die and 
let S1 be the event that six occurs and S2 be the event that six does not occur.  Then P(S1) = Probability that six occurs = 1/6 
P(S2) = Probability that six does not occur = 5/6 
P(E|S1) = Probability that the man reports that six occurs when six has actually occurred on the die 
= Probability that the man speaks the truth = 3/4 
P(E|S2) = Probability that the man reports that six occurs when six has not actually occurred on the die 
= Probability that the man does not speak the truth = 1 - 3/4 = 1/4 
Thus, by Bayes' theorem, we get 
 P(S1|E) = Probability that the report of the man that six has occurred is actually a six 
⇒P(S1/E) = (P(S1)P(E/S1))/(P(S1)P(E/S1) + P(S2)P(E/S2)) 
= (1/6 x 3/4)/(1/6 x 3/4 + 5/6 x 1/4) 
= 1/8 x 24/8 
= 3/8

The correct option is C 
a=c=1/4, b=1/2
y=x is a tangent
∴ slopes are equal.
dy/dx=2ax+b
⇒1=2a+b at (1,1)⋯(1)
Also, the parabola passes through (1,1)
⇒a+b+c=1⋯(2)
The parabola passes through (−1,0)
⇒0=a−b+c⋯(3)
Solving (1),(2),(3), we get -
∴a=c=1/4
and b=1/2

Compound Event If an event has more than one sample point it is called a compound event, for example, S = {HH, HT} is a compound event.

Length of tangent from an external point (h,k) to  S = √(S(h,k))
S(2,-3) = √[2(2)² + 2(-3)² - 1] 
=> S(2,-3) = √[8 + 18 - 1]  
=> S(2,-3) = √25
=> S(2,-3) = 5

(104)³ 
=(100 + 4)³ 
Use ( a +b)³ = a³ + b³ + 3ab( a + b)
then,
( 100 + 4)³ = ( 100)³ +(4)³ +3(100)(4)(100+4)
=(10²)³ + 64 + 1200(104)
=1000000 + 64 + 124800
=1124864.

Bernoulli trials satisfies the finite number of independent trials .

Sgn(x) = |x|/x
► for x > 0, sgn(x) = 1
► for x = 0, sgn(x) = 0
► for x < 0, sgn(x) = -1
► Now see graphically or theoretically sgn(x) is discontinuous at x = 0

Using the result, HCF × LCM = Product of two natural numbers ⇒ the other number =  product of two no. = LCM *HCF
Let unknown no. = X
>> X * 27 = 9*459
X = 9*459/27
X = 153

So X= 

So option B is correct answer. 

(a) The collection of all months of a year is a well-defined collection of objects because one can definitely identify a month that belongs to this collection. Hence, this collection is a set.

(b) A collection of novels is not a well-defined collection because one cannot identify a book that belongs to this collection. Hence, this collection is not a set.

(c) A collection of top rich persons can not be defined. Hence, this collection is not a set.

(d) The collection of the ten most talented writers of India is not a well-defined collection because the criteria for determining a writer's talent may vary from person to person. Hence, this collection is not a set.

It is given that: