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

Play is fun. Any activity that the child finds enjoyable is play. It is that activity in which participation b spontaneous and of the child's own will. Children learn through play and that play fosters development.

Key Points

• Play Promotes Cognitive Development - Play situations provide opportunities to handle and examine objects and explore the surroundings which help children to find answers to the questions in their minds and to reason why things happen the way they do.
• Play Promotes Physical and Motor Development - Physical development and acquisition of motor skills depend upon the maturation of the parts of the body. Play provides the child with opportunities to practice. 
• Promotes Language Development - To learn a language one has to hear it and practice speaking it. The playful interactions with caregivers give the child plenty of opportunities to hear the language and motivate her to speak.

Hence we conclude that Play helps in the Physical and Motor Development, Language Development, and Cognitive Development of Children.

The correct answer is Bansilal.

• Bansi Lal Legha founded Haryana Vikas Party.
• He became the third Chief Minister of Haryana.
• He took an oath of Haryana chief minister for the first time on 31 May 1968.
• He became Chief Minister four times in 1968, 1972, 1986 and 1996.
• He was prominently known as the architect of modern Haryana.

Additional Information

• Om Prakash Chautala is a former Chief Minister of Haryana.
  • He served as the Chief Minister of Haryana from 1989 to 2005 at four different times.
• Bhupinder Singh Hooda is an Indian National Congress politician.
  • He also served as the Chief Minister of Haryana from 2005 to 2014.
  • He served for 9 years as chief minister.

Key Points

Air Quality Index (AQI) value between 401-500 is considered hazardous for public health.

Following 5 major air pollutants are calculated by the Environmental Protection Agency (EPA) for which national air quality standards have been established to safeguard public health.

1. Ground-level ozone
2. Particle pollution/particulate matter (PM2.5/PM 10)
3. Carbon Monoxide
4. Sulphur dioxide
5. Nitrogen dioxide

Air Quality Index (AQI) and its impacts on public health:

The correct answer is Acid rain.

Key Points

• Taj Mahal is getting damaged due to the effects of Acid rain.
• Acid rain is a byproduct of a variety of human activities that emit the oxides of sulphur and nitrogen in the atmosphere.
• Crude-oil refineries situated in nearby Mathura, spew out vast quantities of sulphur dioxide into the atmosphere.
  • It is carried by winds and acid rain to Agra.
  • ​Acid rain-induced marble cancer is the progressive degradation (or eating away) of marble monuments.
  • Tajmahal is made of marble (CaCO3) which reacts with sulphuric acid of the acid rain. It causes pitting, decolourization and lusterless.
• CaCO₃ of Taj Mahal combines with Sulphuric acid to give → CaSO₄ + H₂O+ CO₂.
• To constrain the damage to the Taj Mahal caused by the oxides of sulfur and nitrogen, the government of India announced an action plan in 1995.
• There are two types of acidic deposition- wet and dry.
• Wet deposition refers to any type of precipitation that takes acids from the atmosphere and deposits them on the earth’s surface.
• Dry deposition of harmful particles and gases clings to the ground in the absence of precipitation via dust and smoke.

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 Dini Masjid.

Key Points

• Dini Masjid in Rohtak which was previously a temple was turned into a mosque during the reign of Aurangzeb.
• Dini Masjid ​
  • It is also famous as the Adina Mosque.
  • It is located in Rohtak, Haryana.
  • It depicts the typical architectural style of the Mughals.
  • The carved arches adorn the peak of the mosque.
  • The mosque minarets have inscriptions about Allauddin Khilji and other Mughal heroes.
  • This mosque has an underground basement area.
  • It is believed to be a Jain temple earlier which was turned into a mosque by Aurangzeb.

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 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 Trans-Gangetic plain region.

• India has been broadly divided into fifteen agricultural regions.
• It is based on agroclimatic features particularly soil type, climate including temperature and rainfall and its variation and water resources availability.
• Haryana falls in the Agro Climatic Zone-VI, which is called Trans-Gangetic Plains Region.
• The four main geographical features of the state are:
  • Shivalik Hills, Ghaggar Yamuna Plain, Semi-desert sandy plain and Aravali hills.
• All the regions are given below:
  • Western Himalayan division
  • Eastern Himalayan division
  • Lower Gangetic plain region
  • Middle Gangetic plain region
  • Upper Gangetic plain region
  • Trans-Gangetic plain region
  • Eastern plateau and hill region
  • Central plateau and hill region
  • Western plateau and hill region
  • Southern plateau and hill region
  • East coast plain and hill region
  • West coast plain and hill region
  • Gujarat plain and hill region
  • Western plain and hill region
  • Island region

The correct answer is Rigorous imprisonment ranging from 3 to 10 years.

• The Gauvansh Sanrakshan and Gausamvardhan Bill 2015 was passed by Haryana Government on 16th March 2015.
• The law not only bans the slaughtering of cows but also the sale of beef in the state.
• Cow slaughter in Haryana is punishable with Rigorous imprisonment ranging from 3 to 10 years along with a fine of Rs 30,000 to Rs 1,00,000 under the Gauvansh Sanrakshan Law.
• If the fine amount is not paid then the additional imprisonment of one year is also included under the scheme.
• If cows are exported for slaughtering or beef purpose then 3 to 7 years of imprisonment and a fine up to Rs 30,000 to 70,000 or both will be levied.
• If a person is found selling beef in the state then the imprisonment of 3 to 5 years and a fine of Rs 30,000 to Rs 50,000 will be levied.
• The bill aims at promoting conservation and development of indigenous breeds of cow and for this legislation has planned to establish institutions for taking care of stray, injured, and sick cow as well as the uneconomic cow.
• The vehicle used for transporting cows for slaughtering or beef purpose will be confiscated by the police officer both below the rank of Sub-Inspector or any other officer authorized by the state government
• The ban is also implemented over canned beef.
• The Haryana state has three lakh cows in 400 gaushalas, One lakh fifty thousand stray cows, and Eighteen lakh cows which are being nurtured by people at homes.

If you encounter a traffic signal that is malfunctioning or not working, you should treat it as a stop sign and proceed cautiously. Come to a complete stop at the intersection, look for other vehicles or pedestrians, and proceed only when it is safe to do so. Ignoring the malfunctioning signal or driving through the intersection without stopping can lead to accidents and traffic violations. Always prioritize safety and follow the appropriate procedures when encountering a malfunctioning traffic signal.

Additional Fact:
In the event of a power outage or technical malfunction, traffic signals may temporarily stop working. It's essential for drivers to know how to react in such situations to prevent confusion and ensure the safe flow of traffic. Treating the malfunctioning signal as a stop sign helps maintain order and reduces the risk of accidents at intersections.

The purpose of a speed limit sign on the road is to inform drivers of the maximum speed allowed in that particular area. Adhering to the posted speed limit helps in ensuring road safety by reducing the risk of accidents. Exceeding the speed limit can lead to fines, penalties, and, most importantly, an increased likelihood of collisions. Always obey speed limit signs to contribute to a safer road environment for everyone.

Additional Fact:
Speed limits are set based on various factors such as road conditions, traffic flow, pedestrian activity, and surrounding environment. It's important for drivers to adjust their speed accordingly and always drive within the posted limits.

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.

The term 'adolescence' has a Latin origin. It is derived from the verb adolescere, which means "to grow into adulthood" or "to achieve maturity". 

Key Points

• For the best and all-around development of mental powers in adolescence, a proper education system should be made.
• Adolescence Education aims to provide young people with accurate, age-appropriate, and culturally relevant information; promote healthy attitudes and develop skills to enable them to respond to real-life situations effectively.
• Adolescents are able to control their emotions only through adolescent education.
• Adolescence is called the stage of storm, so the goal of adolescence education is to guide adolescents on the path of progress by showing them the right path.
• In adolescence, students are worried about careers, so the goal of education in adolescence is to identify the qualities of students and show them the right path.

Hence, we can conclude that adolescent Education aims to provide young people with accurate, age-appropriate, and culturally relevant information; promote healthy attitudes, and develop skills to enable them to respond to real-life situations effectively.

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.

The teacher is a very important component of the teaching-learning process. The teacher has to play different roles in order to facilitate the learning process and to provide direct and real-life experiences to learners.

• The student's learning pace or performance level gets highly influenced by the teacher's activities. The teacher aims to develop the holistic personality of a student.
• The teacher is a facilitator, as his role is to create such an atmosphere of learning where the children can themselves realize their true potential and can construct knowledge.

Key Points

​The different roles of a teacher:

While organizing an activity in the classroom for students to have hands-on experience, the role of the teacher is to supervise students and provide guidance wherever required.

Confusion Points  

ask students to carry out the activity strictly as per the instruction given: This will hinder the creativity of the child in the classroom. The child will not be able to construct knowledge on his own if s/he is following the instructions strictly. 

give all the freedom to students to carry out the activity on their own: In this case, the student will not be able to resolve his doubts and misconception without the teacher that will arise during the activity. 

instruct constantly so that students achieve their results without making any mistakes: In this case, the children will not get any space to construct the knowledge and show his/her creativity.

Adolescence is a phase of life of a person when he is no more a child and not yet adult. The life is full of tremendous energy. The curiosity and experimentation at one time paves the path to success and at other, may cause uncertainty. This is a critical time in life because the experiences, knowledge and skills acquired in adolescence have important implications in adulthood. 

Key PointsAdolescents need to find their place in society and gain a sense of fitting in it. This is a process of socialization involving an adolescent’s integration with society. This process socialization enhances the sense of personal identity, and the development of personal identity helps the adolescent to deal with society’s expectations and standards and norms. This challenges the adolescent to make changes in social behaviour.

• Society’s expectations pose a challenge for adolescents and are valuable in helping them to progress along the path to adulthood. The fulfilment of these expectations helps to develop a positive sense of self.
• Adolescents who are over-whelmed by society’s expectations may revert to anti-social behaviour ranging from low-level delinquency to serious crimes.
• Parental expectations to perform and confirm to their standards are abnormally high or unrealistic. They may generate negative feelings, communication gap and anti-social behaviour.
• Adolescent expectations in relationships with peers, parents and society are often not fulfilled and cause conflicts.
• Moving away from dependence on parents and family and having close relationships with friends is a major social change. Parental control leads to conflicts and communication gap. Peers determine the flow of an adolescent’s life and develop their personality too.

Hence, it can be concluded that 'Relationship with parents' can have a significant impact on the social competence of an adolescent.

Here, a = x³y² and b = xy³.
⇒ a = x _* x _* x _* y _* y and b = xy _* y _* y
∴ LCM(a, b) = x _* x _* x _* y _* y _* y = x³ _* y³ = x³y³
LCM = x³y³

A secant of a curve is a line that intersects the curve in at least two (distinct) points.The word secant comes from the Latin word secare, meaning to cut. In the case of a circle, a secant will intersect the circle in exactly two points and a chord is the line segment determined by these two points, that is the interval on a secant whose endpoints are these points.

If any row or column of a square matrix is 0 , then its product with itself is always a zero matrix.

Required area :


Therefore , total area from x = 0 to x = 2π is 4 X 2= 8 sq. units.

cos^-1[(1-x²)/(1+x²)]
Put x = tanθ
y = cos^-1(1 - tan²θ)/(1 + tan²θ)
y = cos^-1(cos²θ)
y = 2θ……………….(1)
Put θ = tan^-1 x in eq(1)
y = 2(tan^-1 x)
dy/dx = 2(1/(1+x²))
dy/dx = 2/(1+x²)

Since if a circle inscribed a square. then the radius of the circle is half of to side of square.
∴  Radius = 10/2 = 5 cm
∴ Area of the circle = πr² = π(5)² = 25π sq. cm 

sin 30° = 1/2,
cos 30°=√3/2,
sin 60°=√3/2,
cos 60°=1/2,
By putting the value of sin 30°, cos 30°, sin 60° and cos 60° in equation

We get=
(sin30°+cos30°)-(sin60°+cos60°)=(1/2+√3/2)-(√3/2+1/2)
=0

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.