KVS PGT Mathematics Mock Test - 10 - KVS PGT/TGT/PRT MCQ

The correct option is Option 4, i.e., ‘discourage’.
The word ‘dissuade’ means ‘to advise against something’. The word closest in meaning, from the given options is ‘discourage’, which has a similar meaning. Hence, the correct option is Option 4.

सही उत्तर है - “कलम कसाई - कलम को तोड़ने वाला”।

• “कलम कसाई - कलम को तोड़ने वाला” यहाँ मुहावरा और उसका अर्थ सुमेलित नहीं है।
• कलम कसाई मुहावरे का सही अर्थ : कठोर लिखनेवाला।
  वाक्य प्रयोग : पत्रकार ने भ्रष्टाचार के खिलाफ कलम कसाई कर ली है।
• इसके अतिरिक्त दिए गये विकल्प मुहावरा और उसका अर्थ सही सुमेलित है।

Additional Informationमुहावरा परिभाषा :

• उदाहरण मुहावरा किसी भाषा में आने वाला वह वाक्यांश है, जो अपने शाब्दिक अर्थ को न बताकर किसी विशेष अर्थ को बताता है।

अन्य उदाहरण:

• कलम तोड़ना मुहावरे का अर्थ : बढ़िया लिखना।
  वाक्य प्रयोग - मुंशी प्रेमचंद्र जी ने गोदान लिखने में कलम तोड़ दी।
• चार दिन की चांदनी होना मुहावरे का अर्थ : थोड़े समय का सुख होना।
  वाक्य प्रयोग - चोरी के पैसे से तुम कुछ दिन ही सुख भोग सकते हो, पकडे जाने पर चार दिन की चाँदनी खत्म हो जाएगी।

मुहावरे का सही युग्म है - 'आँख में चर्बी छाना - घमंड से चूर होना'

• वाक्य प्रयोग - अजय अपना अभावग्रस्त जीवन भूल गया है, अब तो उसकी "आंखों में चर्बी चढ़ गई है"।

Key Points

• मुहावरा एक ऐसा वाक्य होता है जो वाक्य की रचना करने पर अपना एक अलग अर्थ या विशेष अर्थ प्रकट करता है।
• इनका प्रयोग करने से भाषा,आकर्षक, प्रभावपूर्ण तथा रोचक बन जाती है।

Additional Informationकुछ महत्वपूर्ण मुहावरा, अर्थ और उनके वाक्य प्रयोग:-

• आंख दिखाना - बहुत क्रोध करना

वाक्य प्रयोग - राम से मैंने सच बातें कह दी, तो वह मुझे "आँख दिखाने लगा"।

• आग लगाना - झगड़ा कराना

वाक्य प्रयोग - दीपक ने झूठ बोलकर राहुल और दीनेश के बीच "आग लगा दी"।

• आँख बिछाना - प्रेम से स्वागत करना

वाक्य प्रयोग - जब प्रधानमंत्री आए तो स्कूल में सबने "आँखें बिछा दीं"।

The correct answer is 2 i.e. Bolsheviks.

Some facts about the Russian Socialist Democratic party(RSDP):

• The formation was the party that happened in 1898.
• The party followed Marxist ideas, believing the industrial working class, not peasants, would bring about revolution.
• The party ideas were based on the philosophies of Karl Marx and Friedrich Engels, namely that despite Russia's agrarian life, the real radical potential extended with the industrial working class.
• They played an important role in the politics of Russia at that time and they also won few seats in the elections.
• It was mainly divided into two groups - Bolsheviks and Mensheviks.
• The following table will help you to understand them better:

The correct answer is Akbar.

Key Points

• Akbar:
  • ​Hamzanama paintings were produced during the reign of Akbar.
  • ​He was the third Mughal Emperor.
  • He reigned from 1556 to 1605.
  • He introduced the Mansabdari system. 
  • He built the Agra fort.

Additional Information

• Jahangir:
  • He reigned from 1605 to 1627.
  • He established Zanjis-i-Adil (chain of justice) at Agra for the seekers of royal justice.
  • He married Mehr-un-Nisa whom he gave the title of Nur Jahan (light of the world). 
  • He wrote his autobiography Tuzuk-i-Jaha.
• Shahjahan:
  • ​Shahjahan was the fifth Mughal emperor of India.
  • He built the Taj Mahal in Agra, the Moti Masjid in Lahore, Jama Masjid of Delhi, and the Section of Agra Fort, etc.​
  • He reigned from 1628 to 1658.

• Babur:
  • ​He was the founder of the Mughal Empire in India.
  • Baburnama, also known as Tuzk-e Babri is the biography of Babur written by him.
  • Humayun was the son of Babur.

The correct answer is Centralization.

Key Points

• Indian economy experienced an economic crisis in 1991.
• The foreign currency assets declined to such an extent that it was barely enough to finance two weeks of imports.
• The annual rate of inflation reached 16.7% in August 1991.
• The government expenditure was greater than its revenue due to defence expenditure, subsidies, interest on loans, etc.
  • The positive effects of the socialistic pattern of society were on the verge of decline.
  • On this ground, it was necessary to bring new changes to the economy. Hence, the Government of India adopted a New Economic Policy (NEP) in 1991.
  • It is also known as LPG i.e.
    1. Liberalization
    2. Privatization
    3. Globalization.
• The process of new economic policy which started in 1985 got momentum in 1991.

Additional Information

Liberalization:

• Liberalization refers to 'economic freedom' or 'freedom for economic decision'.
• It means producers, consumers, and owners of factors of production, are free to take the decision to promote their self-interest.
• Indian government accepted policies suggested by the IMF for economic liberalization.
  • Macroeconomic Stabilisation :
    • Inflation control
    • Balance of Payment adjustment
    • Currency devaluation
  • Structural Adjustment Programs :
    • Trade and capital inflow reforms
    • Industrial reforms
    • Tax reforms
    • Fiscal reforms
    • Monetary and financial reforms
    • Privatization

Privatization: 

• Privatization means the transfer of ownership from the public to the private sector.
• It refers to a process that reduces the involvement of the public sector and increases that of the private sector in economic activities.
• Measures :
  • Disinvestment
  • De-reservation policy
  • Establishment of BIFR (Board of Industrial and Financial Reconstruction)
  • Creation of National Renewal Board (NRB)
  • Navratna Status

Globalization:

• Globalization means integrating the economy of a country with the world economy.
• Measures : 
  • Removal of quantitative restrictions
  • Encouragement to Foreign Capital
  • Convertibility of Rupee
  • Foreign collaboration
  • Long term trade Policy
  • Encouragement to Exports

The correct answer is Vienna.

Key Points

• The Organization of Petroleum Exporting Countries (OPEC) is a group of countries that export oil.
• OPEC is a 13-country cartel or intergovernmental organization.
• Founded on 14 September 1960 in Baghdad.
• It was formed to coordinate the petroleum policies of its members and to provide member states with technical and economic aid
• It was founded by its first five members namely, Iran, Iraq, Kuwait, Saudi Arabia, and Venezuela.
• OPEC now has 13 members as of January 2020.
• It has been headquartered in Vienna, Austria, since 1965.
  • Even though Vienna is the headquarters of OPEC, Austria is not an OPEC member state.
• OPEC's establishment signaled a shift toward national sovereignty over natural resources, and OPEC policies have come to dominate the global oil market and international relations.
• A new member country must be approved by three-quarters of OPEC's current members, including all five of the founding members.
  • Sudan formally made an application to join in October 2015, however it is still not a member.

Confusion Points

• OPEC had its headquarters in Geneva, Switzerland, in the first five years of its existence. This was moved to Vienna, Austria, on September 1, 1965.

Additional Information

• The World Health Organization's headquarters is located in Geneva.
• Brussels is the European Union's headquarters.​
• The headquarters of FIFA is in Zurich.

A formula starts with an equals sign (=) that tells the spreadsheet you want to do a calculation. A formula then has a symbol for what kind of calculation you want to perform (add, subtract, multiply, divide, etc.).

Community involvement can be assessed in terms of the active involvement of individuals, local leaders, institutions, and organizations to provide support. The community includes all the members of the families in the immediate neighborhood, community workers, and personnel working in various institutions.

Key Points  
The progressive involvement of the community would be reflected in increased mobilization and utilization of local resources, and enhanced contribution and participation by the individuals and beneficiaries.

The contribution of the community to education are:

•   Supply of food materials, like grains and pulses. These may be procured at the time of harvesting.
•  Local vegetables, especially green leafy and yellow vegetables.
• Local fruits.
• Providing financial assistance.
• Academic and administrative support 
•  Waste material from households or from artisans e.g., empty plastic boxes, cartons, beads, old toys, pieces of cloth, wool, old newspapers, magazines, pieces of wood, potter’s clay, and so on.
•  Remember to keep a record of any cash received as well as its use carefully.

Thus, it is concluded that providing financial assistance and academic and administrative support is correct with reference to the contribution of the community to education.  

Piaget’s theory tells us that the child is born with a mental/cognitive structure that develops and attains maximum growth around the age of 14 or 15 years.

Key Points

• Piaget’s theory provides a comprehensive picture of cognitive development from birth to the age of 14 or 15 when cognitive development attains its peak.
• Piaget conceives cognitive development as consisting of a series of stages, each characterized by certain kinds of behaviors, and certain ways of thinking and solving problems.
• All the age-specific stages have been grouped under four broad stages:

Hence, we can conclude that Jean Piaget's theory of child development is based on Cognitive development.

Adolescence is the period in which a child develops into an adult at the onset of puberty and it marks his/her involvement in his/her peer groups.

Two vectors A and B are said to be collinear , if they are parallel to the same line irrespective of their magnitudes and directions.

a ⊥ a is not true. So, R is not reflexive
a ⊥ b and b ⊥ c does not imply a ⊥ c. So, R is not transitive
But, a ⊥ b ⇒ b ⊥ a is always true. 

A = {2, 3, 4, 8, 10}
B = {3, 4, 5, 10, 12}
C = {4, 5, 6, 12, 14}
► (A ∩ B) = {3,4,10}
► (A ∩ C) = {4}
► (A ∩ B) U (A ∩ C) = {3,4,10}

Graph of f (x) shows f (x) > 6 for x < 0 or x > 4

If θ is the acute angle between

then cosine of the angle between
these two lines is given by :


Here, 


Then, 

tan^-1 (tan 3π/5)
This can be written as:
tan^-1 (tan 3π/5) = tan^-1 (tan[π – 2π/5])
= tan^-1 (- tan 2π/5) {since tan(π – x) = -tan x}
= –tan^-1 (tan 2π/2)
= –2π/5

x² = 16 ⇒ x = ±4 and 2x = 6 ⇒x = 3

There is no value of x which satisfies both the above equations. Thus, A = φ

The given ellipse is 

Hence, the eccentricity  e1, of the hyperbola  is given by
1 = e₁ sinθ ⇒ e₁ = cosec θ ⇒ b² = sin²θ (cosec²θ - 1) = cos²θ

The product of two consecutive natural number is natural.
And all even number be natural number.
So, P(n), n ∈ N

There are five questions
Each question has 4 options
No. of possible ways of answering each question is four
No. of Possible ways for Q1 = 4
No. of Possible ways for Q2 = 4
No. of Possible ways for Q3 = 4
No. of Possible ways for Q4 = 4
No. of Possible ways for Q5 = 4
So, Total number of ways of answering 5 objective type questions, each question having 4 choices = 4⁵
= 1024

Let the roots be α, β : β, γ and γ, α then
αβ = b, βγ = c and γα = a 

T_r+1 = ⁷⁴Cr₃ 3^73-r (2x)^r
T_r+2 = ⁷⁴C_r+1 3^73-r (2x)^r+1
 as co−efficients are equal 
⁷⁴Cr₃ 3^73-r 2^r = ⁷⁴C_r+1 3^73-r 2^r+1
 ((74!/74−r)!r!)×=(74!/(73−r)!(r+1)!) × 2
3(73−r)!(r+1)! = 2(74−r)!r!
= 3(73−r)!(r+1)! = 2(74−r)!(73−r)!r!
= 3(r+1) = 2(74−r)
= 3r+3 = 148−2r
∴ 5r = 148−3
r = (145/5) 
r = 29
Hence terms are (29+1)th and(29+2)nd or 30th and 31th term

The numbers should be divisible by 6. Thus, the number of favourable ways is ¹⁶C₃ (as there are 16 numbers in first 100 natural numbers, divisible by 6).
Required probability is 

Correct Answer : a

Explanation :  {1 + cotα - sec(π/2 + α)} {1 + cotα + sec(π/2 + α)}

As we know that (a-b)(a+b) = a² - b²

(1 + cotα)² - [sec(π/2 + α)]²

1 + 2cotα + cot²α - (-cosecα)²

2cotα + 1 + cot²α - cosec²α

As we know that 1 + cot²α = cosec²α

= 2cotα + cosec²α - cosec²α

= 2cotα