HSSC TGT Math Mock Test - 10 - HSSC PGT/TGT MCQ

These sound waves make the eardrum vibrate. The eardrum is so sensitive to sound vibrations in the ear canal that it can detect even the faintest sound as well as replicate even the most complex of sound vibration patterns.

Key Points

• There are a variety of sounds in our environment, ranging from faint sounds like birdsong and rustling leaves to louder sounds like music, yelling, and industrial noise. 
• This human hearing range is called the audible range. 
• The human hearing range is a description of the pitches and loudness levels a person can hear before feeling discomfort.
• The human ear has a dynamic range from 0dB (threshold) to 120-130 dB.
• This is true for the middle frequency range (1-2 kHz). For lower or higher frequencies, the dynamic is narrowed.
• However, as shown on this graph, all sounds above 90 dB are damaging the inner ear and even doing irreversible damage above 120 dB. (see " Noise: watch out! Danger !")
• The human auditory field (green) is limited by the threshold curve (bottom) and a curve giving the upper limit of sound perception (top).
• At each frequency, between 20 Hz and 20 kHz, the threshold of our sensitivity is different.
• The best threshold (at around 2 kHz) is close to 0 dB.
• It is also in this middle range of frequencies that the sensation dynamics is the best (120 dB).
• The conversation area (dark green) demonstrates the range of sounds most commonly used in human voice perception; when hearing loss affects this area, communication is altered.

Therefore, based on the above descriptions the faintest detectable noise by a healthy human ear is of 0 decible.

Cognitive development is the construction of thought processes, including remembering, problem-solving, and decision-making, from childhood through adolescence to adulthood. Key Points

• It was once believed that infants lacked the ability to think or form complex ideas and remained without cognition until they learned the language.
• It is now known that babies are aware of their surroundings and interested in exploration from the time they are born. From birth, babies begin to actively learn.
• They gather, sort, and process information from around them, using the data to develop perception and thinking skills.
• Cognitive development refers to how a person perceives, thinks, and gains an understanding of his or her world through the interaction of genetic and learned factors.
• Among the areas of cognitive development are information processing, intelligence, reasoning, language development, and memory.
• All these cognitive abilities help children in developing their aptitude. 

​Hence, we can conclude that option 2 is correct.

The correct answer is Sound from musical instruments.

CONCEPT:

• Sound: A sound is a form of mechanical energy that is transmitted through mediums.
  • Example: sound from musical instruments, man's vocal cord, etc.
• Noise is a sound that is unpleasant or is a loud sound and causes a disturbance.
  • Sound from explosions, factories, vehicles, and a mixture of lots of voices is an example of noise.
• Music: The mixture of different frequencies resulted into an ordered sound is called music.
  • The sound from a musical instrument is an example of music.

EXPLANATION:

• Thus the Sound from musical instruments is not an example of noise. So option 4 is correct.

The correct answer is Jind.

Important Points

• Pratap Singh revolted against the British in Jind, Haryana.
• Raja Bhag Singh suffered a severe paralytic attack in March 1813. Unfit to run the administration of his state, the ailing chief wished to appoint Prince Pratap Singh the ablest and wisest of all his sons as his regent to do his work.
• But the British government to whom the anti-British bearing of the prince was known stood in his way and got Rani Sobrahi appointed in place of the price in 1814. This was unbearable for Pratap Singh and he raised the standard of revolt on June 23, 1814.
• Pratap being a popular figure the state forces also revolted and joined him forthwith. With their help, the prince lost no time in occupying the Jind fort and established his government after putting the Rani the puppet of the British government to the sword.

Additional Information

• Kaithal revolt was started in the year 1843 and its leader was Gulab Singh and Suraj Kaur.

Personality is the unique characteristics of the individual that are dynamic in nature. Every individual is unique and so is their or their personality. There are various methods to assess the personality of the individual, such as questionnaires, projective tests, etc. 

Key Points

•  The child's overall personality development includes a 360-degree report card. 
• The 360-degree report card shows the performance of the child in each and every domain, such as cognitive development, moral development, physical development, emotional development, etc.
• The 360-degree report card also provides an idea about the social and communication skills of the person. 
• It also helps to assess the potential disability or disorder in the child. 
• The 360-degree report card also includes academic records of the child, which indicates the child's performance in school. 
• It helps to assess and evaluate the overall development of the child. 

Thus, it can be concluded that a child's overall personality development is included in 360-degree report card. 

The correct answer is Mela Baba Ramakshah.

Key Points

• Baba Ramakshah Fair is organized at Khubru situated in district Sonepat during the months of February-March.
  • The fair is organized on Pooranmasi in the month of Phalguna (February-March).
• Baba Ramakshah was a saint belonging to Sayeed Community.
  • He used to treat diseases of people with herbs.
  • He was worshipped by many folks.
  • After his death, his grave was made by Hindu and Muslim devotees.

Additional Information

• Khubru is a Village in Ganaur Tehsil in Sonipat District of Haryana State.
  • It belongs to Rohtak Division.
  • As per census 2011, Khubru has a total population of 3,578 peoples, out of which male population is 1,911 while female population is 1,667.

The correct answer is the Sardar Hukum Singh committee.

• Haryana became the 17th state of India in 1966 on the recommendation of the Sardar Hukum Singh committee.

Key Points

• After the independence of India in 1947, Haryana remained part of Punjab.
• But Hindus and Sikhs both demanded separate states.
• This movement gained momentum after 1955 and had its full intensity in 1960.
• Haryana was separated from Punjab in 1966 with the passage of the Punjab reorganization act and on the recommendation of the Sardar Hukum Singh parliamentary committee.
• This committee was formed in 1965.

The correct answer is Breadbasket of India.

Key Points

• Haryana is called the Breadbasket of India.
• A breadbasket is a region of a nation producing large quantities of wheat or other grains due to the richness of the soil and the favorable climate.
• In India, both Punjab and Haryana are referred to as Breadbasket.
  • Haryana accounts for about 9% of India's total wheat production. In the financial year 2019, over 12 million metric tons of wheat were produced in the northern state of Haryana in India.

Additional Information

About Haryana

• Capital - Chandigarh.
• 1st Chief Minister - Bhagwat Dayal Sharma (Indian National Congress).
• 1st Governor - Dharma Vira.
• Chief Minister( As of 12 March 2021): Manohar Lal Khattar.
• Governor( July 2021):Bandaru Dattatreya.

The correct answer is V. P. Yadav

Key Points

• Haryana Board of School Education
  • The Board of School Education Haryana, Bhiwani came into existence in 1969 as per Haryana Act No. 11 of 1969 with its headquarters at Chandigarh later shifted to Bhiwani in January 1981.
  • Further, in order to reach out to the unreached, the Board established Haryana Open School in 1994 and thereby started bringing into the fold of education those who could not get formal education or could not continue it due to varied reasons.
  • The Board Is Headed By The Chairman Who Is Appointed By The State Government.
  • The present chairman of the board is Ved Prakash Yadav. Hence, Option 3 is correct.
  • He Is Assisted With A Vice-Chairman Who Is Also Appointed By The Government Under The Act. In Order To Execute The Duties Of The Board, There Is A Post Of Secretary Who Is The Principal Executive Officer Of The Board And Is Too Appointed By The State Government.

• The eastern boundary of Haryana with Uttar Pradesh is defined by a stretch of about 200 km of Yamuna river.
• Yamuna River also receives a heavy amount of industrial and domestic pollutants from Yamuna Nagar, Panipat, and Sonipat in this stretch.

The correct answer is Mangrove forests.

• All the given types of forest exist in Haryana except the Mangrove forests.
• Mangroves found in the coastal areas and in the delta of the Ganga region, Sundarban of West Bengal are Mangrove forests.
• Subtropical Thorn forests can be seen in the western region.
• Subtropical dry deciduous forest is in Northeastern region.
• Tropical moist deciduous forest can be seen in the northern region of Haryana in Shiwalik range.

Notes:

• Types of forest in India:
• Tropical Evergreen Rain Forests
  • These forests are found where rainfall is more than 200 cm.
  • They are found in the Northeastern regions of Arunachal Pradesh, Meghalaya, Assam, Nagaland, the Western Ghats, the Tarai areas of the Himalayas, and the Andaman groups of Islands.
  • Sandal Wood, Rosewood, Mahogany, and bamboo.
• Deciduous or Monsoon Type of Forests
  • These forests are found where rainfall is between 100 cm and 200 cm.
  • They are found on the lower slope of the Himalayas, West Bengal, Chhattisgarh, Bihar, Orissa, Karnataka, Maharashtra Jharkhand, and the adjoining areas.
  • The leaves of these trees shed during dry winter and dry summer.
  • Teak, Deodar, Blue Gum, Pal Ash, Sal, Sandalwood, Ebony.
• Dry Deciduous Forests
  • These forests are found where rainfall is between 50 cm and 100 cm.
  • They are found in Central Deccan plateau, Punjab, Haryana, parts of Uttar Pradesh, Madhya Pradesh, and South-east of Rajasthan.
• Mountain Forests
  • On the foothills of the Himalayas until a height of 1500 meters, evergreen trees like Sal, teak, and bamboo grow copiously.
  • Alpine grasslands are found.
• Tidal or Mangrove Forests
  • Found in the deltas of the Cauvery, Krishna, Mahanadi, Godavari, and Ganga.
  • Sundarbans are the best example of mangrove forests.
  • Sundari tress is most important specie.
• Semi-Desert or thorny forests
  • These forests are found where rainfall is less than 50 cm.
  • Thorny bushes, acacia are found.
  • In Gujarat, Punjab, and Rajasthan, we found this type of forests.

The correct answer is Mukhyamantri Antyodaya Utthan Abhiyan.

Key Points

• Sh. Manohar Lal who also holds the portfolio of Finance Minister while presenting the State Budget for the year 2021-22 during the Budget session of Haryana Vidhan Sabha announced a new scheme ‘Mukhyamantri Antyodaya Utthan Abhiyan’.
• The Abhiyan aims to draw verified data from the Parivar Pehchan Patra (PPP) and identify the poorest one lakh families in the State.
• Under this Abhiyan, the Government aims for economic upliftment of two lakh families in the financial year 2021-22.
• Mukhyamantri Antyodaya Utthan Abhiyan will be an umbrella mission encompassing all schemes of Government to identify the scheme or set of schemes to supplement the upliftment of each identified family.
• Each Department of Government will prioritize schemes implemented by them for the upliftment of the identified poorest families.

The purpose of using turn signals while driving is to indicate your intention to change lanes or make a turn. Turn signals help communicate your actions to other drivers on the road, allowing them to anticipate your movements and adjust their driving accordingly. This promotes safer lane changes and turns, reducing the risk of accidents and improving overall traffic flow. Using turn signals is a basic driving courtesy and an essential aspect of responsible driving behavior.

Additional Fact:
Proper use of turn signals enhances road safety by improving communication between drivers and reducing the likelihood of misunderstandings or collisions. It's important to signal your intentions well in advance of making a maneuver, giving other drivers ample time to react. Remember to always use your turn signals consistently and in accordance with traffic regulations to contribute to a safer road environment.

The discovery method is an inquiry-based instruction where students are actively participating in discovering knowledge. it is considered a constructivist based approach to education. Discovery learning takes place in problem-solving situations where the learner draws on his own experiences and prior knowledge to solve the problem.

Learning outcomes of discovery method:-

• It encourages the active engagement of students.
• It provides a conceptual understanding of the subject matter.
• It increases motivation in students
• It makes students lifelong learner 

In the discovery approach of teaching, the most important learning outcome is a conceptual understanding of the subject matter. so manipulation, reinforcement and memorisation are not outcomes of the discovery method.

 Hintmanipulation:- It means to control actions of self or any other person by the intellect.

reinforcement:- It means to encourage or discourage the behaviour. Positive reinforcement is used to increase desired behaviour and negative reinforcement is the removal of undesired behaviour.

memorisation:- It is the process of committing something to memory. encoding, store and retrieval are steps of memorisation.

Adolescence is the transformational phase of human development and growth. It transforms the growth and maturity from childhood to adulthood. Adolescence is a difficult journey of self-exploration and interaction with the world. It is characterized by contradictions, fantasies, surprises, and uncertainties while posing immense possibilities and threats.

Key Points Learning Strategies for Teaching Adolescence

• Adolescents need to be guided by their teachers. The teachers should build up confidence in their children.
• S/he should communicate strategies of learning and develop the skill of presenting their knowledge on paper accurately and effectively.
• The teacher should try to involve all children in all types of learning.
• At this stage, the students have developed hypothetical thinking, so the teacher should propose a problem and invite students to form a hypothesis.
• S/ he should guide children whenever they need it. S/he should recognize the cause of the child’s low achievement.
• After knowing the problem that a child is facing, the teacher should deal with her/him accordingly
• The teacher should also develop strategies for coping with stress so that children can learn and live in a stress-free environment.
• Initiate group activities in the classroom and focus on collaborative and interactive learning with peers. The teacher should act as a facilitator of not only learning but also encourage cooperation among students.

Hence, we can conclude that the most suitable strategy for a teacher, when he/she is working with adolescent students is to propose a problem and invite students to form a hypothesis.

Here Side of square ABCD = AB = 3 x diameter of circular design
⇒ AB = 3 x (2 x 7) = 42 cm
∴ Area of square = 42 x 42 = 1764 cm²
And Area of one circular design   
And Area of one circular design
∴ Area of 9 circular designs = 154 x 9 = 1386 sq. cm
∴ Area of remaining portion of handkerchief = 1764 - 1386 = 378 sq. cm

Perimeter of the wheel

Hence, Option B is correct.

Required distance 

y + sin y = 5x
dy/dx + cos ydy/dx = 5
dy/dx = 5/(1+cos y)

Since g(x) and h(x) are integrals of the same function , therefore ; g(x) – h(x) is constant.

∵ AOB is a right triangle.
∴ Mid-point of AB is equidistant from A, O and B. 

The distance of a point from the y -axis is always the value of it's x-coordinate

That is , the distance of point p(2,3 ) from y axis is 2 units.

Clearly , (M−1)⁻¹ = (M⁻¹)¹ is not true.

cos 4x = cos 2x

In the Additive Identity of vectors, the additive identity is zero vector 0.
For any vector V additive identity is defined as,
0 + V = V and V + 0 = V

Radius of the wheel = 1.26/2 = 0.63 m
Distance travelled in one revolution

∴ Distance travelled in 500 revolutions
= 500 x 3.96 = 1980 m

P(x,y) = [(e^t + e^-t)/2 , (e^t - e^-t)/2]
(e^t + e^-t)/2 = x --------------------------(1)
(e^t - e^-t)/2 = y --------------------------(2)
Adding (1) & (2)
2e^t = 2x + 2y
e^t = x + y
Eq (1) e^t + e^-t = 2x
e^t + 1/e^t = 2x
(e^t)² + 1 = 2x*e^t
(x+y)² + 1 = 2x(x+y)
x² + y² + 2xy + 1 = 2x² + 2xy
x² + y² + 1 = 2x²
(x²)/(1)² - (y²)/(1)² = 1  {which represents hyperbola equation} 

w’(z) = [(2-z)dy/dz(3z+9)- (3z+9)dy/dz(2-x)]/(2-z)²
[(2-z)(3) - (3z+9)(-1)]/(2-z)²
(6-3z+3z+9)/(2-z)²
= 15/(2-z)²

The sample space for the event is :    (H,H)  (T,H)  (H,T)  (T,T)
Therefore total outcomes= 4

Probability =  1/4