HSSC TGT Math Mock Test - 7 - HSSC PGT/TGT MCQ

Energy Conservation:

• Energy conservation is not about making limited resources last as long as they can, that would mean that you are doing nothing more than prolong a crisis until you finally run out of energy resources altogether.
• Conservation is the process of reducing demand on a limited supply and enabling that supply to begin to rebuild itself. Many times the best way of doing this is to replace the energy used with an alternate source.
• The goal with energy conservation techniques is to

1. Reduce demand
2. Protect and replenish supplies
3. Develop and use alternative energy sources
4. To clean up the damage from the prior energy processes.
5. To reduce energy losses.

Methods of Energy Conservation:

• Install CFL Lights
• Lower the Room Temperature 
• Use Maximum Daylight
• Get Energy Audit Done
• Use Energy Efficient Appliances
• Drive Less, Walk More and Carpooling
• Switch Off Appliances When Not in Use
• Alternative Power (Switching to Solar Energy)  
• Zero Energy Balance

Note:

Energy conservation and efficiency may be related, but they have distinct definitions in the energy world.

Energy conservation involves using less energy by adjusting your behaviors and habits.

Energy efficiency, on the other hand, involves using technology that requires less energy to perform the same function.

Energy-saving light bulbs, large household appliances, smart thermostats, and smart home hubs like Constellation Connect are all examples of technology that can be energy efficient.

The correct answer is the Fatehabad district.

About Fatehabad District:

• The Fatehabad city recognised as the Fatehabad district on 15th July 1997. It was separated from the Hisar district of Haryana state and recognized as the new separate district.
• It is one of the smallest districts in the Haryana State and covers 5.69 % areas of the state. Fatehabad district is surrounded by Sirsa district in the West direction, Punjab state in the North, Jind district in the East, Hisar district, and Rajasthan state in the South.
• The Geographical area of the Fatehabad district is 2520 km, which is 5.4% of the total state share. Fatehabad is connected by metalled roads with important cities of the Haryana and Delhi state.
• According to Puranas, the areas of Fatehabad district remained a part of the Nanda Empire. It is situated on the banks of Saraswati and the Drishadvati river.
• The discovery of Ashokan pillars at Fatehabad and Hisar shows that the area of the district remained a part of the Mauryan Empire.

About Humayun Mosque:

• There is a Small Mosque built by him known as the Humayun mosque in the city of Fatehabad. The reason behind the Mosque was built by the 2nd Mughal Emperor Humayun, who in his fight after his defeat at the hands of Sher Shah Suri happened to pass through the city of Fatehabad.

Image of the Humayun Mosque:

The correct answer is Jind.

• Bir Bara Ban Wildlife Sanctuary is in the Jind district of Haryana.
• It was changed to a Sanctuary in October 2007.
• About Jind -
  • It is one of the 7 districts which were constituted with the establishment of Haryana.
  • It shares its border with 7 districts of Haryana namely Fatehabad, Hisar, Rohtak, Sonipat, Panipat, Karnal and Kaithal.
  • It also shares a border with Sangrur district of Punjab.
  • It was founded by Sikh King Raja Gajpat Singh in 1766.
  • According to the 2011 census, the
    • Total population is 1,334,152.
    • Sex ratio is 871.
    • The literacy rate is 71.4%.
    • The population density is 494.

• The Kabuli Bagh Mosque is a mosque in Panipat.
• Built-in1527 by the emperor Babur to mark his victory over Sultan Ibrahim Lodhi at the first Battle of Panipat in 1526.
• The mosque is named after Kabuli Begum, Babur's wife.
• When Babur's son Humayun defeated Sher Shah Suri's descendants near Panipat.

• Haryana does not have any perennial river of its own. The important rivers flowing through the state are the Yamuna, Saraswati, and Ghaggar. These rivers are one of the sources of irrigation in Haryana. Following are the major rivers of Haryana state-
  • Yamuna River
  • Ghaggar River
  • Saraswati River
  • Dohan River
  • Tangri River
  • Krishnavati River
  • Sahibi River
  • Markanda River
  • Chetang River
  • Rakshi River
  • Indori River

Saraswati River:

• Origin - Har-ki-Doon Glacier from Garhwal (Uttaranchal) (approximate).
• Admission in Haryana- Ambala.
• Passes through districts- Ambala, Kurukshetra.
• Tributaries- Tangri, Markanda, Chutang.
• Merger or Termination- Joins the Ghaggar river in Sangrur (Punjab).

Additional InformationDohan River:

• Origin - It originates from Mandholi village near Neem Ka Thana in the Sikar district of Rajasthan.
• Entry in Haryana- Rewari.
• It passes through the districts- of Rewari and Mahendragarh.
• Merging or ending - merges into the Yamuna at Mahendragarh.
• Dohan River is a rainy river that originates in Mandoli village near Neem Ka Thana in the Sikar district of Rajasthan. It is a tributary of the Sahibi River, which later joins the Yamuna.

Ghaggar River:

• Origin: It originates from a place called Dagshai (Shimla) in the Shivalik hills of Himachal Pradesh.
• Entry in Haryana- Pinjore (Panchkula).
• It passes through the districts- of Panchkula, Ambala, Kaithal, Fatehabad, and Sirsa.
• Tributaries- Kaushalya River, Markanda, Saraswati, Tangri and Chautang.
• Merger or Termination- After Sirsa, it enters Rajasthan and becomes extinct.
• Dam and Kund- Kaushalya Dam (Panchkula), Chamala Dam, Dangarna Dam

• Chenab River does not have its origin in Aravali hills.
• The other three rivers originate from Aravali hills.
• Chenab River:-

A major river that flows in India and Pakistan, and is one of the 5 major rivers of the Punjab region.

Human development is a complex process and involves a scientific study of both the qualitative and quantitative ways in which individuals change over time.  Key Points

• Social development refers to the development of an individual in such a way that she/he becomes a useful member of society.
• Social development is the process of learning to conform to group standards.
• Marie goes to school, she meets and interacts with the other children of her age and with the teachers.
• She affects these people and is affected by them in some way or the other. This kind of development, i.e. to notice others, is known as social development.
• The social qualities and behavior of the teachers and schoolmates etc. have a great role in the socialization of the child. 
• Following are the abilities of a socially adjusted which help him/her to strike a successful relationship with society:
  • willingness to cooperate with others;
  • ability to tolerate the views of others;
  • to have respect for various social groups;
  • ability to adjust with people and make friends;
  • developing a sense of belongingness and enjoying social acceptance. 

Thus, from the above-mentioned points, it is clear that kind of development, i.e. to notice others, is known as social development.

When the quantity of acids in the raining water is more than the average, then such rain is called 'Acid rain'.

We are aware that normally rainwater has a pH of 5.6.  When the pH of the rainwater drops below 5.6, it is called acid rain.

Acid rain refers to the ways in which acid from the atmosphere is deposited on the earth’s surface. Oxides of nitrogen and sulphur which are acidic in nature can be blown by the wind along with solid particles in the atmosphere and finally settle down either on the ground as dry deposition or in water, fog and snow as wet deposition.

∴ The average pH value of the acid rain is 4 to 5 and hence the average value of 4.5.

The bad effects of acid rain

• When acid rain falls and flows as groundwater to reach rivers, lakes etc, it affects plants and animal life in the aquatic ecosystem
• Acid rain is harmful to agriculture, trees and plants as it dissolves and washes away nutrients needed for their growth
• It causes respiratory ailments in human beings and animal
• It may also cause corrosion in many buildings bridges, monuments, fencing etc
• It causes irritation in the eyes and skin of human beings
• This rain reduces the lustre of the metals too
• Acid rain damages buildings and other structures made of stone or metal
• The Taj Mahal in India has been affected by acid rain

Growth leads to the development of personality and behavioral traits, which is called maturation. In general, as organisms grow inside the structure, it is less quantitative and more emotional and cerebral. An illustration would be brain growth which makes it possible to manage activities that are more complicated.

Key Points

•  The maturation stage marks the end of growth and the consolidation of acquired mental, social, and emotional development. In essence, maturation is a process of internal improvement, alteration, and development of an organism's potential. Being mature is a necessary prerequisite for learning. So, Maturation is a developmental process.
• Learning is the development that results from effort and repetition. We are aware that learning and maturation interact to influence development. The constraints of maturation are imposed on growth. It suggests that even when learning is fostered, growth cannot advance past a certain point due to limitations in hereditary endowment. So, Maturation and learning work together to promote the development of an individual.
• For example, bicycle riding will be learnt only as a result of effort, practice and training.

Hence, it is concluded that Both A and B are true.

Development refers to an increase in structure for better and enhanced functioning of organs. It includes all the qualitative changes in an individual over a period of time by the process of learning and maturation.

Key Points

• Development Proceeds from General to Specific:  As the child develops, his behaviour becomes more and more intricate and complex leading towards specificity. In the beginning his behaviour remains mass and undifferentiated— a general response to all stimuli. But gradually they get differentiated and specific response is elicited to specific stimulus.
  • For example, the child at birth expresses only three kinds of behaviour—they lie and rest on the bed, they sleep and they cry when they are hungry.
  • Again, a baby makes general arm movements long before specific responses for reaching objects. These are the examples of behavioural development. Even in terms of physical development, as the cells of the body change their character, Specific kinds of tissues with specific functions are developed — skins, bones, blood etc. Same thing happens during the child’s language development.
• Development Proceeds Directionally: “The cephalo-caudal” principle refers to the fact that development (as well as growth) always proceeds direc­tionally from head to foot. We see this principle demonstrated in physical growth simply by comparing the changes that take place in the comparative sizes of different parts of the body.
  • The other direction in which the body develops is known as “proximo-distal” fashion i.e. it proceeds from areas closest to the central nervous system outward to the extremities of the body. Therefore, arm muscles develop before finger muscles.
• Principle of continuity: This principle defines that development is a life-long process as it does not stop at maturation and continues gradually until reaching its maximum growth. 
• Principle of individual differences: ​Each individual grows at his own unique pace because of the wide individual differences that exist among the children with respect to their growth and development.
• Uniformity of pattern: The development does not proceed at a uniform rate but it does follow a definite sequence or pattern and is somewhat uniform i.e., the child learns saying "papa" to greet every man he meets, but it's only afterward he uses it for his father only. Hence, it follows a pattern.
• A joint product of both heredity and environment: 'Heredity and Environment' play a vital role in determining the growth and development of an individual. How a person will develop depends on the environment but how far a person can develop depends on heredity.

Hence, we can conclude that a baby makes general arm movements long before specific responses for reaching objects. This reflecting the development of proceeds from general to specific.

The correct answer is Kheri Gujjar.Key Points

• By excavations done in Kheri Gujjar of Sonepat district, earthen utensils belonging to Mahabharata period have been found.
• Kheri Gujjar is a Village in Ganaur Tehsil in Sonipat District of Haryana State, India.
• It belongs to Rohtak Division .
• It is located 23 KM towards North from District head quarters Sonipat. 7 KM from Ganaur. 205 KM from State capital Chandigarh.

Additional Information

• Sonipat
  • The name Sonepat is derived from the word Sonpat which means in Sanskrit language the suvarna prastha (gold place).
  • The Sonipat region has yielded pottery of pre-Harappan, late-Harappan, Painted Grey Ware, early historical, Northern Black Polished Ware and early medieval time.
  • One popular tradition avers that it is one of the five patas or prasthas (Indraprastha, Panipat, Talpat, Bhaghpat and Sonipat) mentioned in the Mahabharata.
  • On 22 December 1972, Sonipat was given status of a full-fledged district.
  • Khwaja Khizr Tomb is a famous maqbara located at Jatwara, Sonipat built by Ibrahim Lodi in the memory of Khwaja Khizr.

Any object or material that is used to facilitate learning and teaching can be considered as teaching-learning material (TLM). In other words, any material suitable for use in teaching is invariably a learning material.

Key Points

• We are familiar with materials specifically prepared for teaching and learning particular subjects or topics. Maps, charts, pictures, models, toys, marbles, coloured sticks, flashcards, number and alphabet cards are examples of some of the most common prepared TLMs known and used by teachers. Standard items like maps, globes, charts, scales, measuring tapes are usually purchased from the market.
• TLMs is based on the audio and visual effects produced by the materials. Accordingly, there are three types of TLMs: Audio, Visual and Audio-Visual.
  • Audio aids The materials or devices which call upon the auditory senses and thus help the individuals to learn through listening e.g. Radio broadcasts, Cassette and CD player.
  • Visual aids: The aids which call upon the visual senses and thus help the learners to learn through viewing. The important and under this head are Blackboard, Charts, Pictures, Graphs, Models, Film strips, Slides etc.
  • Audio-Visual Aids: The devices which require the auditory as well as visual senses and help the students to learn through listening as well as viewing. Examples of such aids are television, films and computer-assisted instruction.
• Still another way of categorizing TLMs is based on projected, non- projected or experiential.
  • Projected aids: Movies, epidiascope, the magic lantern, micro-projectors and projection with the overhead projectors, LCD projector are examples of projected aids.
  • Non-Projected aids: Chalkboard, felt board, bulletin board, photographs, posters, maps, charts, globes, specimens, and textbook illustrations, come under non-projected aids.
  • Experiential Aids: Field trips, educational tours, visiting important institutions and industries, observing experiments, demonstrations and natural phenomena are a few examples of experiential aids

 Thus, it can be concluded that micro-projectors - non-projected aids is not teaching-learning material - category of teaching-learning material.

Probability of an egg being defective =10/100=110
So, probability of an egg being non-defective=1−0.1=0.9
10 eggs are drawn successively with replacement.
So, the probability of getting no defective egg =(0.9)¹⁰
Hence, the probability that there is at least one defective egg = 1−(0.9)¹⁰

therefore , slopes of the tangents at (1,1) and (- 1 , -1)are equal. Hence, the two tangents in reference are parallel.

Option A: If n is integer similarly n²- 1 is not divisible by 8.
Option B: If n is a natural number then it is not possible for n=1,2.
Option C: If n is odd the possible for n is 3,5,7...
Option D: If n is even then it is not possible for n=2.

Thus, the option C is correct.

Correlation coefficient = cov (x,y)/ (std deviation (x) ×std deviation (y))
Correlation coefficient  = 0.28
cov (x,y) = 7.6
variance of x is 9.  
=> std deviation (x) = √variance  of X = √9 = 3
=>  0.28  = 7.6 / ( 3 * std deviation (y))
=> std deviation (y) = 7.6 / ( 3 * 0.28)
=> std deviation (y) = 9.05
standard deviation of Y series = 9.05

We have to find the value of

According to question, Diameter (BD) = 2 x radius = 2 x 12 = 24 cm
∴ Area of square

The orthogonal projection on x- axis is given by : 

Fact

The conditional probability of an event E, given the occurrence of the event F is given by :

cos(θ)=sin(90-θ)
so 40+A+30=90
A=20

According to definition of parabola , is is the locks of the points in that planes that are equidistant from both focus and directrix.

Given, focus : (-3,0)
directrix : x + 5 = 0
Let (x ,y) is the point on the parabola .
∴ distance of point from focus = distance of point from directrix
⇒ √{(x + 3)² + y²} = |x + 5|/√(1² + 0²)
⇒ √{(x + 3)² + y² } = |x + 5|
squaring both sides,
(x + 3)² + y² = (x + 5)²
⇒y² = (x + 5)² - (x + 3)²
⇒y²= (x + 5 - x - 3)(x + 5 + x + 3)
⇒y² = 2(2x + 8) = 4(x + 4)

Hence, equation of parabola is y² = 4(x + 4)

Here, Area of circle (A) = πr² and Circumference of circle (C) = 2πr
 
Putting value of C in A = πr², we get

2 cos(A + B) = 1
cos(A + B) = ½
cos(A + B)=cos 60
A+B=60   …(1)
2 sin(A – B) = 1 
sin(A - B)=½
sin(A - B)=sin 30
A-B = 30    …(2)
Adding 1 and 2
2A = 90
A = 45
B = 15

Position vector of A = OA = a
Position vector of B = OB = b
Now, AC = OC - OA
Also, AB = OB - OA
Given, AC = 3AB
⇒ OC - OA = 3(OB - OA)
⇒ OC = 3b - 2a