KVS PGT Mathematics Mock Test - 6 - KVS PGT/TGT/PRT MCQ

An "ulterior motive" refers to a desire that is kept concealed by displaying some other cause.
Example- The ulterior motive of the conspirators was revealed during the investigation. 
Vendetta means to have a prolonged fight or unsolved issue with someone that hinders positive growth.
Propaganda is basically the spreading of news that is untrue, mostly done in order to fulfill political objectives.
Grudge means to have a constant feeling of ill will or resentment for someone/something resulting from a past insult or injury.
Ulterior motive stands for the hidden motive that is present in the things done in public sight. It can be compared to collusion.

उपर्युक्त में से सघोष वर्ण है - 'ङ, घ, य'

• ट वर्ग - ड (मूर्धा)
• क वर्ग - घ (कण्ठ)
• य वर्ग - य (तालु)
  • वे व्यंजन जिनके उच्चारण में स्वर तंत्रियों के निकट आ जाने से उनके बीच से निकलने वाली वायु के कारण उनमें कम्पन्न या नाद उत्पन्न होता है, उन्हें घोष या सघोष व्यंजन कहते हैं।

  • प्रत्येक वर्ग (क, च, ट, त, प वर्ग) का तृतीय, चतुर्थ एवं पंचम वर्ण (ग, घ, ङ, ज, झ, ञ, ड, ढ, ण, द, ध, न, ब, भ, म) तथा य, र, ल, व, ह, ड, ढ़ वर्ण सघोष वर्ण हैं।

  • सभी स्‍वर वर्ण, अन्‍त:स्‍थ व्‍यंजन(य,र,ल,व) और 'ह' सघोष या घोष व्‍यंजन हैं।

Key Points

Additional Informationअघोष व्यंजन:-

• वे व्यंजन जिनके उच्चारण में न तो स्वर-तंत्रियाँ निकट आती हैं और न ही उनमें किसी प्रकार का कम्पन्न उत्पन्न होता है, अघोष व्यंजन कहलाते हैं।
• प्रत्येक वर्ग का (क, च, ट, त, प वर्ग) प्रथम एवं द्वितीय वर्ण (क, ख, च, छ, ट, ठ, त, थ, प, फ) तथा श, ष, स, क, फ़ अघोष व्यंजन हैं।

सही उत्तर 'त' है।

• 'त' व्यंजन अल्पप्राण व्यंजन है।
• जिन वर्णों के उच्चारण में मुख से कम श्वास निकले उन्हें 'अल्पप्राण' कहते हैं।
• सभी स्वर वर्ण अल्पप्राण हैं।
• प्रत्येक वर्ग का पहला, तीसरा और पाँचवाँ वर्ण अल्प- प्राण होता है ।
• जैसे-क वर्ग – क ग ङ , च वर्ग – च ज ञ, ट वर्ग – ट ड ण, त वर्ग – त द न, प वर्ग - प ब म
• उष्म व्यंजन अल्पप्राण नहीं होते हैं।

Key Points

अन्य विकल्पों का विश्लेषण:

• महाप्राण व्यंजन उन्हें कहते हैं जिनके उच्चारण में मुख से अधिक हवा निकलती है।
• हिंदी भाषा में क वर्ग आदि पाँचों वर्गो के दूसरे और चौथे वर्ण महाप्राण हैं तथा ऊष्म वर्ण भी महाप्राण हैं। अर्थात् ख्‌, घ्‌, छ्‌, झ्‌, ठ्‌, ढ़्, थ्‌, ध्‌, फ्‌, भ्‌, श्‌, ष्‌, स्‌, ह्‌ महाप्राण ध्वनियाँ हैं।​

The correct answer is Femur.

Key Points

• The largest bone in the human body is the femur, the thighbone.
• It is the largest, longest, and strongest bone in the human body.
• The shortest bone in the human body is the stapes or stirrup bone in the middle ear.
• The femur runs from the keen to the hip.
• The Femur or thigh bone is the largest and heaviest bone in the human body.
• At the proximal end of the Femur, there is a rounded prominence which is called the Head of the Femur.
• The femur runs from the keen to the hip.
• It carries all the upper body weight.
• The other parts of the leg are the tibia, femur, fibula, and keep cap also known as patella.

Additional Information

• The human skeleton is made up of 206 bones, including bones of the
  • Skull:  including the jaw bone (mandible, maxilla)
  • Spine: cervical, thoracic and lumbar vertebrae, sacrum and tailbone (coccyx)
  • Chest: ribs and breastbone (sternum)
  • Arms: the shoulder blade (scapula), collar bone (clavicle), radius, humerus and ulna
  • Hands: wrist bones (carpals), metacarpals and phalanges
  • Pelvis: hip bones
  • Legs: the thigh bone (femur), the kneecap (patella), shin bone (tibia) and fibula
  • Feet: tarsals, metatarsals, and phalanges.

The Correct Answer is Option 3 i.e India.

• India:
  • It shares a border with seven countries, namely China, Pakistan, Bhutan, Myanmar, Afghanistan, Nepal, and Bangladesh.
  • India shares the longest border with Bangladesh.
  • It is the largest democracy in the world, the representative with the most number of votes gets the power.
  • New Delhi is the capital of India.
  • Droupadi Murmu is the current President of India and Narendra Modi is the current PM of India.
• Sweden:
  • It is a country in Europe.
  • Sweden is a constitutional monarchy with a parliamentary democracy.
  • Stockholm is the capital of Sweden.
  • Incumbent Magdalena Andersson is the current PM of Sweden.
• Iceland:
  • It is an Island country in Europe.
  • Iceland is a constitutional republic with a multi-party system and is considered as the worlds' oldest parliamentary democracy.
  • Reykjavik is the capital of Iceland.
  • Guoni Thorlacius Johannesson is the current President of Iceland.
• Norway:
  • It is located in Northwestern Europe.
  • It is a constitutional monarchy.
  • Jonas Gahr Støre is the current Prime Minister of Norway.
  • Oslo is the capital city of Norway.

Concept-

• Roots are the underground structures that help in the absorption of water and minerals, provide a proper anchorage to the plant parts, storage of reserve food material (Carrot, Radish), and synthesis of PGR (plant growth regulators).
• Sometimes roots get modified to perform different functions like Storage of food, respiration, climbing, etc.
• These types of roots are called modified roots.

Explanation-

• The Coralloid roots are the specialized roots found in cycas, these roots exhibit a symbiotic relationship between the cyanobacteria and cycas where the cyanobacteria fix the nitrogen and in return, the cycas provide a stable environment to live.
• Cycas, a genus of 105 species of palmlike tropical and subtropical ornamental cycads (family Cycadaceae), among them trees 12 meters (40 feet) or more in height. 
• Their leaves are dark green and circinate (uncoiling as fern leaves do), differing from those of other members of the family in having a midrib but no lateral veins. 
• The seeds are borne along the margins of modified leaves, which are arranged in a whorl at the top of the trunk, rather than in compact cones. 

Thereby coralloid roots are found in cycas.

Additional Information

• Lycopodiopsida
  • It is a class of herbaceous vascular plants known as lycopods, lycophytes.
  • Members of the class are called clubmosses, firmosses, and quillworts.
• Pine
  • A pine is any conifer in the genus Pinus of the family Pinaceae. Pinus is the sole genus in the subfamily Pinoideae.
• Dryopteris
  • It is commonly called the wood ferns, male ferns, or buckler ferns is a fern genus in the family Dryopteridaceae.​

Given:

Efficiency of Amit = 2 × Efficiency of Ramit

Concept used:

Total work = Efficiency × Time period

Calculation:

The efficiency of Amit = 2

Efficiency of Ramit = 1

Total work = (2 + 1) × 28 = 3 × 28 = 84

Number of days Ramit takes to complete the whole work = 84/1 = 84

∴ The number of days in Ramit will complete the work is 84 days.

The term social behavior refers to conduct that takes place between two or more creatures, usually of the same species. 

Key PointsThe teacher has a lot of power to encourage and advance a student's social development:-

• to provide kids the chance to enhance their leadership skills.
• help the student by letting him know the qualities that his classmates find admirable and commonly accepted.
• to encourage learning among community members and students.
• Instead of attempting to address the full list of social skills at once, it is crucial to concentrate on a select few, such as sharing and taking turns.

Hence, it is concluded that teachers are responsible for social behavior in their classrooms.

The term 'Curriculum' within the field of education refers to the overall program of the varsity which students experience on a day-to-day basis. It is a planned sequence of instruction in terms of educator's and school's instructional goals. as a gaggle of learning goals. It is attached across grades that outline the intended mathematics content and process goals at particular points in time throughout the K–12 school program.
Hence, the correct answer is, 'Overall programme of the school which students experience on a day-to-day basis.'

The curriculum is the pre-determined standards or instructions regarding what should be taught in educational settings, such as primary class, secondary class, college, etc. 

• Curriculum can be formal, hidden, or informal

Key Points

• Explicit and overt curricula are formal curriculums
• A formal curriculum includes formal written instructions for schools or colleges.
• Learning experiences provided by schools in formal educational settings are determined by formal curriculums
• Curriculum texts, documents, videos, films, etc. are examples of the formal curriculum
• Formal curricula are planned, organized, and implemented in regular schools. 
• A formal curriculum involves overt instructions explicitly written for teaching children. 

Thus, it can be concluded that explicit and overt are known as the formal curriculum. 

Classroom management does not mean a strict order but shaping of a positive environment in the classroom. The teacher's behavior is the main contributing factor. A skillful and efficient teacher manages the class in such a manner that he never faces discipline problems.

Key Points

• A good teacher should :
  • give ample opportunities to children for self-reflection.
  • be flexible in classrooms do not have rigid behavior for students.
  •  create an emotionally pleasant and stimulating environment
  • set meaningful goals.
  •  make the subject matter meaningful.
  • make unity among the student in diversity.
  • try to avoid punishments for the students.
  • give all the students the same and equal opportunities.

So for all the above reasons, option (4) is the correct answer.

Additional Information 

•  Rigid or fearful behavior of the teacher demotivates the students, also increasing the fear of learning in the soul of students. 
  • So that the behavior of teachers should be flexible and learning in the classroom should be child-centered instead of teacher-centered.
• ​The rigid rules should not be made by the teachers for the students to follow, without question, this type of behavior impacts students learning as well as increases the chance to make them rigid.

In any classroom it is not very likely that any two students learn the same thing; in the same way; at the same place. We must realize that in order to assist each pupil and to capitalize on his or her natural inclination to understand, we should be able not only to diagnose his or her style of learning but to accept it.

• Inclusive education approaches differences and "diversity" affirmatively, recognizing the value of such differences and the learning opportunities that such diversity offers.
• It provides opportunities to learn about and accept individual differences, lessening the impact of harassment and bullying.

Key Points

• provide opportunities for communication and expression.
• give importance to every student's perspective on information.
• not provide options for leveling and stereotyping the learners. 
• ensure the presentation of content according to students' needs and interests. 
• use various methods and strategies and modes of assessment to meet the demand of every individual.
• give priority to every child and never ignore students' on the basis of their background or physical appearance. 

Hint

• "Stereotype" means a widely held but fixed and oversimplified image or idea of a particular type of person or thing.
• Stereotypes are characteristics imposed upon groups of people because of their race, nationality, and sexual orientation.
• These characteristics tend to be oversimplifications of the groups involved and, even if they seem "positive," stereotypes are harmful.
• Classrooms need to reflect every child and every family in the class. The teacher should not make assumptions about what a child’s ethnic background is.

Hence, we can conclude that in a class having learners with diverse needs, a teacher should NOT provide options for stereotyping the learners.

Education is the creation of a sound mind in a sound body. It develops man's faculty especially his mind so that he may be able to enjoy the contemplation of the supreme truth, goodness, and beauty.

Key Points

• According to Gandhi, "true education ought to be for them (boys and girls) a kind of insurance against unemployment". It is the economics of self-sufficiency that makes a man a useful citizen.
• The purpose of true education is not to generate literate citizens, it aims to use the knowledge as a tool to create an environment that is beneficial for the overall development of a child.
• A development that focuses on physical, mental, emotional, and social aspects so that the learners become important and contributing assets to society.
• In order to do that, learners are rigorously made to put effort so that they can develop coordination and harmony among various faculties of mind and body.
• True education equips individuals to live creatively, responsibly, and peaceably in society, and become agents of change for a better society.
• It is acquired, by way of 'doing things' rather than by 'learning ' things' which then cannot be imparted fully in schools that are identified as places of learning.
• True education can develop in students the ability to distinguish between right and wrong, good and bad, and what is desirable and undesirable.

Thus, it is concluded that true education works towards developing coordination and harmony among various faculties of mind and body.

An objective type test item is characterized by its total objectivity and unambiguity in scoring. It has one and only one correct response. Full marks are given for the correct response, which is unique, and no mark is given for an incorrect response.

Key PointsValidity and Reliability represent the properties of objective type test items of assessment:

• Validity: According to Anastasi (1988) the validity of a test concerns what the test measures and how well it does so. Validity is the main property of objective-type test items of assessment. 
• Reliability: Reliability is the consistency of measurement or the degree to which an instrument measures the same way each time it is used under the same condition with the same subjects. Reliability is the proportion of the true variance in obtained test scores. Reliability is also a major property of objective-type test items of assessment. 

Hence, we can conclude that validity and Reliability represent the properties of objective type test items of assessment.

• According to this, x should be a number which is not equal to the number itself and there is no number which is not equal to the number itself.
• Therefore A is an empty set.

{1, 2, 3, 4, 5, 6} is a set of 6 elements, so it has 2⁶ = 64 subsets

Step-by-step Explanation:
Since we have given that,
Percentage of families own a cell phone = 25%
Percentage of families own a scooter = 15%
Percentage of families neither own = 65%
So, it becomes,
P(C ∪ S)^' = 1 - P(C ∪ S)
0.65 = 1 - P(C ∪ S)
1 - 0.65 = P(C ∪ S)
P(C ∪ S) = 0.35
So, it becomes, 
P(C ∪ S) = P(C) + P(S) - P(C ∩ S)
0.35 = 0.25 + 0.15 - x
0.35 = 0.40 - x
x = 0.05
Thus, 0.05 x Total number of families in town = 1500
Total number of families in the town =
1500 / 0.05 = 30,000
Hence, the total number of families in the town is 30,000.

f(x) = 3.sin(√π²/16 − x²)
since the quantity within the square root can not be negative.
therefore
π²/16 − x² ≥ 0
x² ≤ π²/16
−π/4 ≤ x ≤ π/4
the minimum value of the function is 3.sin0=0
and the maximum value of the function is 3sinπ/4 = 3/√2
therefore range is [0, 3/√2]

For the graph y=x²
The least value of x² is zero and square of any number will also be zero.

Clearly f is one one and onto, so invertible

n! < [(n+1)/2]ⁿ
For(n=1) 1! < [(1+1)/2]¹
= 1 < (2/2)¹
1 < 1 (False)
 
For(n=2) 2! < [(2+1)/2]²
= 2 < (3/2)²
1 < 6/4 
1 < 3/2
1 < 1.5 (True)
Therefore smallest number will be 2.

There can 5 girls selected for the first seat.

Then, there are 4 girls to select from for the second seat.

Then, there are 3 girls to select from for the third seat.

Then, there are just 2 girls to select from for the fourth seat.

Then, there is just 1 girl for the fifth and final seat.

Therefore they number of ways to seat 5 girls in 5 seats is:

5×4×3×2×1⇒20×6×1⇒120×1⇒120

So there are 120 different ways to seat 5 girls in 5 chairs.

(a + ib)² = 5 + 12i
use (a + b)² = a² + b² + 2*a*b
=> a² + b²*i² + 2*a*b*i = 5 + 12i
i² = -1
⇒ a² - b² + 2*a*b*i = 5 + 12i
equate the real and complex coefficients
⇒ a² - b² = 5 and ab = 6
a = 6/b
substitute in a² - b² = 5
⇒ 36/b² - b² = 5
⇒ 36 - b⁴ = 5b²
⇒ b⁴ + 5b² - 36 = 0
⇒ b⁴ + 9b² - 4b² - 36 = 0
⇒ b²(b² + 9) - 4(b² + 9) = 0
⇒ (b² - 4)(b² + 9) = 0
⇒ b² = 4 and b² = -9
b is a real number, so we eliminate b² = -9
b² = 4
⇒ b = 2 and b = -2
a = 3 and a = -3
The required number can be 3 + 2i and -3 -2i

Given, G = (5√5 + 11)^{2n + 1} , 0 < G < 1 and R = (5√5 + 11)^{2n + 1}

a, b, c are in AP
Let d be the common difference.
b = a + d,
c = a + 2d 

There are in GP with common ratio: kd
 

aα² + bα + c = 0 and bα² + cα + a = 0 ⇒ α = 1 ∴ a + b + c = 0

Roots of (x - α) (x - β) = λ are γ and δ, 
i.e., (x - α) (x - β) - λ = (x - γ) (x - δ)
So, (x - γ) (x - β) + λ = (x - α) (x - β)