Bihar PGT Mathematics Mock Test - 8 - Bihar PGT/TGT/PRT MCQ

The correct option is Option 1, i.e., ‘deposited into’.
The correct tense of the bracketed phrase has to be used for the sentence to make proper sense. Therefore, ‘deposit into’ has to be replaced by ‘deposited into’, making Option 1 the correct choice

Here’s the solution with a detailed explanation:

Sentence: Each one of the government hospitals are full at this point of time.

Error Identification:

• The phrase "Each one of the government hospitals" uses "each" as a singular subject. Therefore, the verb that follows should also be singular.

Correct Version:

• It should be: "Each one of the government hospitals is full at this point of time."

Explanation:

• "Each one" indicates that we are talking about individual items (in this case, hospitals), so it requires a singular verb ("is" instead of "are").

Final Answer:

• The error is in part 2.

The correct option is 2.
The sentence talks about a rich man killing himself and his own children. From the phrase, ‘his own children’, we can derive that the ‘him’ in the sentence refers to the rich man. The phrase is wrong as it should be ‘himself’ instead of ‘him’.

The correct answer is Option 2. The correct spelling is ‘convenience’. 

उपर्युक्त उदाहरण ‘उल्लाला’ छंद का उदाहरण है।

यह मात्रिक अर्द्धसम छंद है।

इसके प्रत्येक चरण में 13 -13 मात्राओं के हिसाब से 26 मात्रायें तथा 15 -13 के हिसाब से 28 मात्रायें होती हैं।

13 मात्राओं वाले छन्द में लघु - गुरु का कोई विशेष नियम नहीं है लेकिन 11वीं मात्रा लघु ही होती है।

15 मात्राओं वाले उल्लाला छन्द में 13 वीं मात्रा लघु होती है।

13 मात्राओं वाला उल्लाला बिल्कुल दोहे की तरह होता है,बस दूसरे चरण में केवल दो मात्रायें बढ़ जाती हैं।

प्रथम चरण में लघु - दीर्घ से विशेष फर्क नहीं पड़ता।

उल्लाला छन्द को चन्द्रमणि भी कहा जाता है।

जीवनीपरक कृतियों में से-3 महात्मा गांधी: विश्व के अद्वितीय पुरुष कृति रोमां रोला की है।

रोमां रोलां नोबेल पुरस्कार से सम्मानित फ़्रांसीसी लेखक और नाटककार थे। 1987 में "दी साइकिल ऑव रीवोल्यूशन' के क्रम का प्रथम नाटक दि वुल्ब्स और फिर दाँतों का अभिनय हुआ। उसने अपने "लाइफ़ ऑव बीथोवेन' का प्रकाशन 1987 में किया।

‘अपेक्षा’ का अर्थ है ‘आशा’ तथा ‘उपेक्षा’ का अर्थ है ‘तिरस्कार’। इस आधार पर शब्द युग्म 'अपेक्षा-उपेक्षा' का अर्थ है 'आशा-तिरस्कार'। अतः सही विकल्प आशा-तिरस्कार है।

"अरे यायावर याद रहेगा" का अंत एलोरा की गुफाओं में इतिहास खोजने की कोशिश से हुआ। 

रचनाकार: अज्ञेय जी
रचना वर्ष: 1953
विधा: यात्रा साहित्य
"एक बूंद सहसा उछली" अज्ञेय जी का अन्य यात्रा वृतांत है।

भाववाचक संजा से क्रिया विशेषण बनाते समय करण कारक का प्रयोग होता है, जैसे -

नम्रता से बात करो।

खुद से कहता हूँ।

The correct answer is Liver. 

Key Points

• The liver is the largest gland in the human body.
  • It is made up of specialized cells called hepatocytes.
  • It is situated on the right side of the stomach in the human body.
  • The study of the liver is called hepatology.
  • It is the largest metabolic organ in the human body.
  • It is the organ that stores a large amount of vitamin A.
  • Ammonia and urea are produced in the liver.
  • Hepatitis is a viral disease that affects the liver.
  • The liver is known as the "chemical lab of the human body".
  • The liver is the highest temperature-producing organ.

Additional Information

• The brain is the center of coordination in the human body.
• The pancreas secretes enzymes and hormones.
  • Insulin and glucagon are the hormones secreted by Pancreas.
• The thyroid gland is the largest endocrine gland in the human body.
  • Thyroxin and calcitonin are the hormones secreted by the thyroid gland.
• Pituitary Gland
  • The pituitary gland is a gland that is located at the base of the brain and right behind the bridge of the nose. It is mainly responsible for sexual maturation, reproduction, etc.
  • The pituitary gland is also called the 'master endocrine gland' and it is a small pea-sized gland.
  • The pituitary gland is controlled by Hypothalamus. 
  • The hypothalamus sends signals to the pituitary to release or inhibit pituitary hormone production.
  • The pituitary is called the master gland because it controls various other glands.
  • Hence, it could be concluded that the pituitary gland is also called the 'master endocrine gland' because it regulates the activities of other endocrine glands.

The correct answer is ​All of the above.

Key Points

• Rainbow revolution is an integrated development of crop cultivation, horticulture, forestry, fishery, poultry, animal husbandry, and food processing industry.

Additional Information

•  Yellow Revolution:
  • ​The Yellow Revolution is concerned with oilseeds production.
  • This revolution means the cultivation of mustard as a part of crop rotation.
  • The Father of the Yellow Revolution is Sam Pitroda.
  • It was launched in 1986.
• White Revolution:
  • ​Operation Flood is called the White Revolution in India.
  • The program to increase the production of milk is called White Revolution.
  • Father of White Revolution in India - Verghese Kurien.
  • Milkman of India - Verghese Kurien.
• Green Revolution:
  • ​Father of the Green Revolution- Norman Borlaug.
  • Father of the Green Revolution in India- M.S. Swaminathan.
  • It was launched in 1965.
  • This revolution led to an increase in food grain production.

• Blue Revolution:
  • The Blue Revolution was first launched in India as the 'Nili Kranti Mission' during the 7th Five Year Plan (1985-1990).
  • Fish Farmers Development  Agency (FFDA) was sponsored by the central government.
  • The Intensive Marine Fisheries Program was subsequently launched during the 8th Five Year Plan (1992-97).
  • As a result, the fishing harbors were later established over time in Vishakhapatnam, Kochi, Tuticorin, Porbandar, and Port Blair.
  • The scheme was restructured by the Ministry of Agriculture and Farmers Welfare along with the Department of Animal Husbandry, Dairying & Fisheries into 'Blue Revolution' by merging it with the other ongoing schemes.
  • The scheme was controlled by the National Fisheries Development Board (NFDB).

The correct answer is Kerala.

Key Points

• The first-time use of EVMs occurred in the general election in Kerala in May 1982; however, the absence of a specific law prescribing its use led to the Supreme Court striking down that election. 
• Subsequently, in 1989, the Parliament amended the Representation of the People Act, 1951 to create a provision for the use of EVMs in the elections.
• A general consensus on its introduction could be reached only in 1998 and these were used in 25 Legislative Assembly constituencies spread across three states of Madhya Pradesh, Rajasthan, and Delhi. 

Additional Information

• The Electronic Voting Machine (EVM), the replacement of the ballot box is a mainstay in the electoral process.
• First conceived in 1977 in the Election Commission, the Electronics Corporation of India Ltd. (ECIL), Hyderabad was assigned the task to design and develop it.
• In 1979 a prototype was developed, which was demonstrated by the Election Commission before the representatives of political parties on 6th August 1980.
• The Bharat Electronic Ltd. (BEL), Bangalore, another public-sector undertaking, was co-opted along with ECIL to manufacture EVMs once a broad consensus was reached on its introduction.

The correct answer is Washington D.C.

• The World Bank Group (WBG) is a specialized agency of the United Nations and its headquartered in Washington D.C. 

Key PointsThe World Bank Group include five groups which are:

• International Bank for Reconstruction and Development (IBRD)
• International Development Association (IDA)
• International Finance Corporation (IFC)
• Multilateral Guarantee Agency (MIGA)
• International Centre for the Settlement of Investment Disputes (ICSID)
• To become members of the IDA, IFC, and MIGA, the countries must first become members of IBRD.

Additional Information

• World Bank approved 1 billion US$ aid to India to accelerate 'India's Covid 19 special protection response programme'.
• There are 2 goals for the world to achieve by 2030 –
  • End extreme poverty by decreasing the percentage of people living on less than $1.90 a day to no more than 3%.
  • Promote shared prosperity by fostering the income growth of the bottom 40% for every country.

The correct answer is A - 4, B - 1, C - 2, D - 3.

Key Points

• Local winds of India
  • Mango showers - in Kerala for the growth of mangoes.
  • Loo - hot dry winds from Rajasthan to western UP
  • Kalbaishakhi - thunderstorms in West Bengal and Assam
  • Winter Rainfall - Tamil Nadu receives rainfall in winter because of the retreating monsoon.

Additional Information

• Local Winds around the world
  • Chinook (snow eaters) - Rockies mountain
  • Foehn - Alps (hot dry)
  • Khamsin (Hot dry) - Egypt
  • Bora (cold-dry) - Hungary to North Italy
  • Blizzard (cold) - Tundra region
  • Norwester (hot) - New Zealand
  • Purga (cold) - Russia

1) GRASS – FEARLESS (Cannot be formed because G is missing)

2) RESEAL – FEARLESS (Can be formed)

3) LESSER – FEARLESS (Can be formed)

4) ERASE – FEARLESS (Can be formed)

Hence, the correct answer is “GRASS”.

The logic follows here is:

Given code = (Positional value ÷ 2)3

Positional value of "V" = 22

22 ÷ 2 = 11

(11)3 = 1331

Positional value of "P" = 16 

16 ÷ 2 = 8

(8)3 = 512

Similarly,

Positional value of "J" = 10

10 ÷ 2 = 5

(5)3 = 125

Hence, the correct answer is "125".

The correct answer is 8 March.

Key Points

• International Women's Day is celebrated on 8th March every year.
• It was officially announced by the United Nations in 1977.
• It is one of the important days of the year:
  • Celebrate women's achievements
  • Raise awareness about women's equality
  • Celebrate tech women and innovation 
  • Applaud equality for women in sports 
  • Educate women on health choice decisions
  • Forge women's empowerment worldwide

Additional Information

•  There are three colors that symbolize International Women's Day.
  • Purple signifies justice and dignity.
  • Green symbolizes hope.
  • White represents purity.
•  The colors originated from the Women's Social and Political Union (WSPU) in the UK in 1908.
•  The campaign theme for International Women's Day 2021 is ' #ChooseToChallenge'.
  •  A challenging world is an alert world. 
  • Raise your hand high is the social media theme to participate in the campaign of International Women's Day 2021.

Important Points

• The First National Women's Day was celebrated in the United States on 28th February.
• About United Nations:
  • ​founded:24 October 1945
  • Headquarters: New York, United States
  • Secretary-general: António Guterres

The logic followed here is:

In figure 1:

32 = (2 + 2) × 8

4 × 8

32

In figure 2:

24 = (3 + 1) × 6

4 × 6

24

Similarly,

In figure 3:

45 = (4 + ?) × 5 

4 + ? = 9

? = 9 - 4

? = 5

Hence, the correct answer is "5".

Given that f (x) = x³ + 5x + 1

⇒ f (x) is strictly increasing on R
⇒ f (x) is one one
∴ Being a polynomial f (x) is cont. and inc.

Hence f is onto also. So, f is one one and onto R.

From the graph it is clear that h is continuous. Also h is differentiable except possible at x = 0 & 1


so h is not differentiable at 1
similarly h' (0 +)= 0 but h ' (0 - ) = 1

sin θ is 3/5.
on simplifying:
(secθ + tanθ)/(secθ - tanθ)
We get, (1+sin θ)/(1-sin θ)
=(1+3/5)/(1-3/5)
=(8/2)
=4

As we know that the length of the perpendicular from point 
P(x₁,y₁,z₁) from the plane a₁x+b₁y+c₁z+d₁ = 0 is given by: 

(y – 3)² = –4 (x – 3) (given equation of parabola.
∴ equation of latus rectum is x = 2. 

y=sin4x,  and z=cos4x
So by using chain rule
df(x)/dx = dsin⁴x/dx + dcos⁴x/dx
=dy⁴/dy * dy/dx + dz⁴/dz * dzdx
=dy⁴/dy * dsinxdx + dz⁴/dz * dcosx/dx
=4y⁽⁴⁻¹⁾⋅cosx+4z(4−1)⋅(−sinx)
=4sin³xcosx − 4cos³xsinx
=4sinxcosx(sin²x − cos²x)
=2sin2x(−cos2x)
=−2sin2xcos2x
=−sin4x

Hence, y = (1-0) - ( -1 -1) -(0 - 1) = 4

Required area :

If the circle lies in second quadrant
The equation of a circle touches both the coordinate axes and has radius a is
x² + y² + 2ax - 2ay + a² = 0
Radius of circle, a = 5
x² + y² + 10x - 10y + 25 = 0 

Let the equation of circle x² + y² + 2gx + 2fy + c = 0..........(1)
Equation of tangent at Origin(0,0)
So, x(0) + y(0) = g(x+0) +f(y+0) + c = 0
or gx + fy + c = 0
But it is given to be axis of x, so y=0
therefore, g = 0, c=0
Equation(1) becomes x² + y² + 2fy = 0..(2)
If it touches the line 3y = 4x + 24
i.e 4x - 3y + 24 = 0
Then the length is perpendicular from centre (0,-f) on the line is numerically = radius f,
[4(0) -3(-f) + 24]/(16 + 4)^1/2 = +-f
=> 3f + 24 = +- 5f
= f = 12, -3
Putting these values of f in (2), we get
x² + y² + 24y = 0, x² + y² - 6y = 0