KVS PGT Mathematics Mock Test - 1 - KVS PGT/TGT/PRT MCQ

The sentence means that the person in concern changed his lifestyle completely after serving his prison sentence. "Turned over a new leaf" is a phrase that is used to depict a new beginning to something.
Thus, the sentence is correct in its original form and option 4 is correct.

सही उत्तर है - ‘व्यष्टि’।

• समष्टि का विलोम व्यष्टि होगा।
• समष्टि का अर्थ : सामूहिकता।
• व्यष्टि का अर्थ : समष्टि का सदस्य या व्यक्ति।

Key Pointsअन्य विकल्प:

• अस्ति का विलोम : नास्ति।
• विशिष्ट का विलोम : साधारण।
• अशिष्ट का विलोम : शिष्ट।

Additional Information

• किसी शब्द का विलोम शब्द उस शब्द के अर्थ से उल्टा या विपरीत अर्थ वाला होता है।

विलोम शब्द के उदाहरण:-

• कृतज्ञ - कृतघ्न
• तुच्छ - महान्
• प्रगतिशील - प्रतिगामी
• देव - दानव

सही उत्तर विहित है।

Key Points

• निषिद्ध का विलोम विहित है।
• निषिद्ध का अर्थ- जिसका निषेध किया गया हो
• विहित का अर्थ- उचित, मुनासिब।

अन्य विकल्प-

• कठोर का अर्थ होता है - कड़ा, सख़्त।
  • कठोर का विलोम कोमल
• विहित का अर्थ होता है - उचित।
  • विहित का विलोम- 'निषिद्ध
• आदृत का अर्थ होता है - सम्मानित।
  • आदृत का विलोम- निरादृत
• सिद्ध का विलोम असिद्ध

सभी शब्दों के अर्थों से हमें ज्ञात होता है कि निषिद्ध का विलोम शब्द विहित होता है।

सही उत्तर 'धनात्मक' है।

• दिए गए विकल्पों में, 'ॠणात्मक' शब्द का विलोम शब्द 'धनात्मक' है।
• ॠणात्मक का अर्थ: नकारात्मक, अभावात्मक।
• धनात्मक का अर्थ: सकारात्मक।

Key Points

अन्य विकल्पों का विश्लेषण:

Additional Information

• विलोमार्थक शब्द/ विलोम: 'विलोम’ शब्द का अर्थ है- उल्टा या विपरीत।
• समान परिस्थितियों में एक दूसरे का विपरीत अर्थ देने वाले शब्द एक-दूसरे के विलोमार्थक शब्द होते हैं।

The correct answer is Spleen.

Spleen is an organ on the left side of the abdomen below the stomach. 

It performs two major functions:

1. Storage of blood - Blood vessels of spleen can alter their thicker and become wider or narrower depending on the situation. In case of emergency situations like trauma & severe injuries where a lot of blood gets lost, the spleen expand its vessels and hold the blood. This reserve blood is then transported to the organ where blood is required. For this reason the spleen is also called the blood bank of human body.
2. Filtration of blood - Spleen filters the blood & removes the old & dead RBCs. It acts like a maze from which healthy RBCs can easily pass while the old & dead RBCs get stuck in it. These are then broken down in the spleen by macrophages. For this reason the spleen is also called as The Graveyard of RBCs.
   

Additional Information 

Heart:

• The heart is a mesodermally derived organ, that is present in the thoracic cavity, in between the two lungs, slightly tilted to the left. It has the size of a clenched fist. It is protected by a double-walled membranous bag, pericardium, enclosing the pericardial fluid.

Liver:

• The liver is the largest gland of the human body. It performs the function of detoxification of harmful substances in the body
• For example, it converts harmful ammonia into urea,  It also breaks down alcohol and other such substances in the blood. 

Bone marrow:

• Bone marrow refers to the tissue located in the hollow interior of long bones. It is composed of adipose tissue, areolar tissue, and blood cells.
• Bone marrow is mainly of two types – red and yellow

Concept:

• Plant growth hormones or phytohormones are simple molecules with complex chemical composition, that regulates the growth and physiology of plants.
• Based on their functions on the living plant body they can be classified into two groups:

1. Plant growth promoters - Promotes activities like cell division, cell enlargement, flowering, fruiting, etc. Eg. Auxins, Gibberellins & cytokinins.
2. Plant growth inhibitors - They are involved in various growth-inhibiting activities like dormancy, and abscission. Eg. Abscisic acid.

• Gaseous PGR like ethylene can be put into both groups, however, it is largely an inhibitor of growth activities.

Explanation:

• Ethylene is a simple gaseous PGR.
• It is synthesized in large amounts by tissues undergoing senescence and ripening fruits.
• Influences of ethylene on plants include horizontal growth of seedlings, swelling of the axis, and apical hook formation in dicot seedlings.
• Ethylene promotes senescence and abscission of plant organs, especially of leaves and flowers.
• Ethylene is highly effective in fruit ripening. It enhances the respiration rate during the ripening of the fruits. This rise in the rate of respiration is called respiratory climactic.
• Ethylene breaks seed and bud dormancy, initiates germination in peanut seeds, sprouting of potato tubers.
• Ethylene promotes rapid internode/petiole elongation in deepwater rice plants.
• It helps leaves/ upper parts of the shoot to remain above water.
• Ethylene also promotes root growth and root hair formation, thus helping the plants to increase their absorption surface.

Additional Information

Howard Gardner's theory of multiple intelligences emphasizes the unique abilities of each individual that removes the idea of valuing intelligence as a single general ability for all. According to him, the learners should not be restricted to one modality of learning. As per his theory, intelligence is a physiological ability of processing information, activated in a cultural setting to reach the specific solution of a problem.
Hence, the correct answer is, 'The unique abilities of each individual.'

Programmed instruction method is most suitable to teach heterogeneous group of students for self placed learning. Programmed instruction is a method of presenting new subject matters to students in a graded sequence of controlled steps.

Learning is a continuous life-long process that is not inherited but can begin right from birth by providing constant interaction and stimulation received from the physical, social, and cultural environment and it does not stop till the end.

Diverse learning : It covers a range of learning styles, abilities, backgrounds, and communities to which the children belong too.

Key Points Barriers in the way of education to Diverse learning:

1. Labeling and ranking of students in multiple ways: Labelling and ranking students in any way will reduce their confidence or motivation to do learning.
2. Classroom management: It will become difficult for the teacher to manage the classroom if the diversity on its peak. If the students belong to different states then that can cause language barriers also.
3. Socio-Cultural barrier: In school students belong to different cultures and backgrounds and values. It is very important for teachers to respect every community and celebrate every festival of every culture so that they feel connected with each other and with the teacher too.

Hence, To address the diverse learning needs of the students Labeling and ranking of students in multiple ways is a barrier.

Hint

•  The teacher should have provided various ways of learning by engaging the learners in multiple activities so that they can learn meaningfully.

Playgrounds are essential safe spaces where children can be themselves and express their fun-loving nature while developing crucial cognitive, physical, social, and emotional skills.

National Education Policy 2020 (ECCE)

The overarching goal will be to ensure universal access to high-quality ECCE across the country in a phased manner. Special attention and priority will be given to districts and locations that are particularly socio-economically disadvantaged.

Key Points

ECCE shall be delivered through a significantly expanded and strengthened system of early-childhood education institutions consisting of

• Standalone Anganwadis;
• Anganwadis co-located with primary schools;
• Pre-primary schools/sections covering at least age 3 to 6 years co-located with existing primary schools; and
• Stand-alone pre-schools - all of which would recruit workers/teachers specially trained in the curriculum and pedagogy of ECCE.

Hence, we can conclude that both statements are true.

Early  adolescence is a phase of life of a person when he is no more a child and not yet an adult. It is a period of transition between childhood and adulthood that involves several changes in body and mind.

Key PointsCharacteristics of Early adolescence:​

Hence, we can conclude that the growth and development of secondary sexual characteristics are accelerated in the characteristics of early adolescence.

Information and communication technology (ICT) in education is the approach to education that makes use of ICT to assist, improve, and optimize information delivery.Key Points

• Today's children grow up surrounded by technology. Technology is enabling changes in the educational system.
• Through the use of technology, the teacher's role is changed from that of a traditional knowledge provider to that of a facilitator, who guides the student's learning processes and participates in collaborative problem-solving with them.
• Students may still easily access content information right now. More individuals will utilize the internet to find information during the next ten years.
• As a result, the teacher's job will no longer just involve giving pupils knowledge; it will involve guiding them in selecting the relevant information from a bundle of data and becoming a coordinator for them.

A first order linear differential equation. Is a differential equation of the form  + Py = Q or  + Px = Q

sin(n+1)x cos(n+2)x - cos(n+1)x sin(n+2)x
⇒ sin[(n+1)x - (n+2)x] 
As we know that sin(A-B) = sinA cosB - cosA sinB
⇒ sin(n+1-n-2)
sin(-x) 
= -sinx

(i.e. angle subtended at the centre of a circle is double the angle subtended in the alternate segment).
Hence (c) is the correct answer.

A square matrix A for which Aⁿ= 0 , where n is a positive integer, is called a Nilpotent matrix.

The equation of the circle  with centre at (h,k) and radius equal to a is (x−h)² +(y−k)² = a²
 When the circle passes through the origin  and centre lies on x− axis 
⇒h = a and k = 0
Then the equation (x−h)²+(y−k)²=a² becomes (x−a)²+y²=a²
If a circle passes through the origin and centre lies on x−axis then the abscissa will be equal to the radius of the circle and the y−co-ordinate of the centre will be zero Hence, the equation of the circle will be of the form 
(x±a)²+y²=a²⇒x²+a² ±2ax+y²=a²
=x² +y² ±2ax=0 is the required equation of the circle.

Let x be the smaller of the two consecutive even positive integers, then the other even integer is x + 2. 
 Given x < 10  and x + (x + 2) > 11.  
⇒ x < 10, and 2x + 2 > 11.  
⇒ x < 10, 2x > 9 
⇒ x < 10, x > 9/2 
⇒  x > 9/2   and    x<10 
∴ the required parity even integers is (6, 8)

3sin^-1(x) = sin^-1(3x - 4x^3) when -1/2<=x<=1/2
Definitely 0.4 comes in this range of x and so

3sin^-1(0.4) = sin^-1[3*0.4 - 4*0.4^3]
3sin^-1(0.4) = sin^-1[1.2 - 4*0.064]
3sin^-1(0.4) = sin^-1[1.2 - 0.256]
3sin^-1(0.4) = sin^-1[0.944]

Finally , sin(3sin^-1(0.4)) = sin{sin^-1(0.944)} = 0.944

log (x - 3) (5 - x) exists ⇒ (x - 3) (5 - x) > 0
⇒ (x -3)(x -5) < 0 ⇒ 3< x < 5
∴ Domain = (3, 5).

As we know that the length of the perpendicular from point P(x₁,y₁,z₁) from the plane


Here, P(2,3,-5) is the point and equation of plane is x+2y - 2z = 9

Therefore, the perpendicular distance is :

All the elements in set-A are presented in set-B. So "A" is a subset of "B".

We have: 

 By formula 
Sn = n/2(a+l)

Suppose that the Reqd. Limit L = lim x→0 (sinx − x)/x³.
Substiture x = 3y , so that, as x→0 , y→0.
∴ L = lim y→0 sin3y − 3y/(3y)³,
= lim y→0 (3siny − 4sin3y)− 3y)/27y³,
= lim y→0 {3(siny − y)/27y³) − (4sin³y/27y³)},
⇒ L = lim y→0 1/9 * (siny − y)/y³) − 4/27* (siny/y)³...(∗)
.Note that, here,
= lim y→0(siny − y)/y³)
= lim x→0 (sinx−x)/x³) = L.
Therefore, (∗) ⇒ L = 1/9*L − 4/27
or,  8/9L = −4/27
Hence, L = −4/27*9/8
=−1/6

Δ = Sum of products of element of row(or column)  with their corresponding co-factors.
Δ = a11 A11 + a21 A21 + a31 A31