EMRS PGT Mathematics Mock Test - 10 - EMRS MCQ

The Correct Answer is "Atal Bihari Vajpayee".

Key Points

• Good governance day is celebrated annually on 25th December to mark the birth anniversary of the former Prime Minister Atal Bihari Vajpayee.
• The aim is to create awareness of accountability in government among the citizens of India.

Governance:

• It is the process of decision-making and the process by which decisions are implemented (or not implemented).
• Governance can be used in several contexts such as corporate governance, international governance, national governance, and local governance.

Eight Characteristics of Good Governance (as identified by the United Nations):

Important Points

Atal Bihari Vajpayee :

• Atal Bihari Vajpayee was born on 25th December 1924 in the erstwhile princely state of Gwalior (now a part of Madhya Pradesh).
• Atal Bihari Vajpayee had served three terms as the Prime Minister of India, first for a term of 13 days in 1996, then for a period of 13 months from 1998 to 1999, followed by a full term from 1999 to 2004.
• He was conferred with the country's highest civilian honor, The Bharat Ratna in 2015 and the second-highest civilian honor, the Padma Vibhushan in 1994.

Jawaharlal Nehru :

• Jawaharlal Nehru was the first Prime Minister of India.

Indira Gandhi :

• Indira Priyadarshini Gandhi was the first and, to date, only female Prime Minister of India.
• Indira Gandhi was the daughter of Jawaharlal Nehru, the first prime minister of India.

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.

For this question, we will use the given table-

The relation of NZ : MA  is given below-

Similarly,

We will apply the same relation to TV : ? as-

Hence, Option (3) is correct.

The family chart is as follows:

i) A is brother of B
ii) B is brother of C
iii) C is husband of D
iv) E is father of A
Drawing the family tree as per the given information:

Thus we can see D is the Daughter - in - law of E.
Hence, the correct answer is "Daughter - in - law".

The logic follows here is:

It is given that Rahul has 48% marks in 10th, an age of 28 years, and work experience of 5 years.

It is clearly mentioned in the criteria that 10^th marks should be greater than 50% for job P and greater than 60% for job Q. Rahul got 48% marks in 10^th.

Therefore, Rahul, neither qualifies for job P nor for job Q.

Hence, the correct answer is "Neither P nor Q".

Probably true. The last sentence says that there was stiff opposition to the efforts on the ground that the matter did not fall in the area of trade.

The first sentence says that India is opposing the efforts. So, it is likely that Indian ground of resistance is also the same (i.e., the issues such as labour standards, environmental concerns, human rights etc. are not related with trade).

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.).

The Formula Bar
The toolbar that allows you to enter values and formulas in various software applications, such as Microsoft Excel, is called the Formula Bar. It is a crucial component of spreadsheet programs that enables users to input and edit data in cells.
Key features of the Formula Bar:
- Input Box: The Formula Bar consists of an input box where you can enter values, numbers, and formulas.
- Cell Selection: It displays the reference of the currently selected cell, making it easy to identify and locate specific cells.
- Formula Editing: You can directly edit formulas in the Formula Bar by selecting the desired cell and making changes in the input box.
- AutoComplete: The Formula Bar often provides autocomplete suggestions, which can enhance efficiency and accuracy when entering complex formulas.
- Error Display: If there is an error in a formula, the Formula Bar may display an error message, allowing you to identify and correct the issue.
Advantages of using the Formula Bar:
- Accuracy: The Formula Bar ensures precise data entry by allowing users to enter formulas and calculations directly.
- Efficiency: It provides a centralized location for entering and editing data, saving time and effort.
- Visibility: The Formula Bar makes it easy to view and modify formulas, improving overall spreadsheet comprehension and management.
Therefore, the Formula Bar is an essential toolbar that facilitates the input and manipulation of data, formulas, and calculations in spreadsheet applications like Microsoft Excel.

Best speech habits are developed in language labs. Thus, to develop good speech habits in the learners, he should exploit language labs. Language labs involve students in language learning exercises more actively and also let them participate more as compared to a traditional classroom setting.

In teaching field, the first and the foremost step any teacher should adopt is to understand the background of the students. This is because it will help the teacher to analyse the level of the students and will help him to deliver quality lectures to them. This can also help him in preparing the lecture and deciding the teaching aids to be used for the students.

|kA| = kⁿ|A|
|3A| = (3)ⁿ |A|
= 27|A| = k|A|
k = 27

Given pth term of HP = qr
So pth term of AP = 1/qr
a+(p−1)d = 1/qr....(1)
and qth term of HP = pr
so qth term of AP = 1/pr
a + (q−1)d = 1/pr.....(2)
subtracting equation 1 and 2 we get, 
(p−q)d = (p−q)/pqr
d = 1/pqr
Now from equation 1, 
a = 1/qr − (p−1)/pqr
= (p−p+1)/pqr = 1/pqr
So rth term of AP = a+(r−1)d = 1/pqr + (r − 1)/pqr = 1/pq 
So, rth term of HP = pq

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

Radius of circle =14cm
An angle = 135^o
Length of arc = ?
We know that, Length of arc = Radius × Angle
= 14 * 3π/4
= 14 * (3*22)/(7*4)
= 33cm

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}

The point (2 cosθ, 2 sinθ) lies on the circle x² + y2 = 4. From the figure, it  is  obvious that 



Hence no solution

From synopsis

Mean deviation of a data set is the average of the absolute deviations from a central point (Average value).

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

Apply, C₁→ C₁+ C₂+C₃+C₄,

Apply, R1 →R₁ - R₂,

Apply, R₁→ R₁ - R₂, R₂ → R₂ - R₃

=(x+3a) (a -x)³ (1) = (x+3a)(a-x)³

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

The hyperbola is given by
2x² + 5xy + 2y² + 4x + 5y = 0 ............................(i)
Since the equation of hyperbola will differ from equation of asymptote by a constant. So, equation of asymptote is
2x² + 5xy + 2y³ + 4x + 5y + λ = 0 ......................(ii)
If (ii) represents 2 straight lines, we must have 
abc + 2fgh - af²- bg² - ch² = 0
or 22λ + 2.5 / 2.4 / 2.5 / 2 - 2.25 / 4 - 2.4 - λ (25 / 4) = 0
or 9λ = 18 ∴  λ = 2 
2x² + 5xy + 2y³ + 4x + 5y + 2 = 0

Theory of Multiple Intelligence which describes eight different kinds of intelligence is propounded by an American cognitive psychologist 'Howard Gardner'.

'Market' is to advertise some product so that it can be sold. Hide is to hold something back and prevent it from being promoted. Thus, option 2 is the apt antonym for the question given.
Example- As soon as some consumers reported flaws in the product, it was hidden from the public eye.

A person who is considered a hot-head is someone who easily becomes angry and violent.
A bonehead is a term used for a stupid person. 
An egghead is someone who is an intellectual.
Pundit is sometimes used for an expert in a particular subject or field who is frequently called upon to give their opinions to the public.
Hence, the correct answer is option 2.

विकल्प घी के दिए जलाना सही है।

Key Points

• घी के दिए जलाना
  • अर्थ: खुशियाँ मनाना
  • वाक्य प्रयोग: भगवान श्रीराम के अयोध्या लौटने पर प्रजा ने घी के दिए जलाए थे।

Additional Information

• घाव पर नमक छिड़कन
  • अर्थ: दुखी को और दुखी करना
  • वाक्य प्रयोग : वह अनुत्तीर्ण होने के कारण पहले दुखी है, तुम जली – कटी सुनाकर उसके घाव पर नमक छिड़क रहे हो।
• घोड़े बेचकर सोना
  • अर्थ : निश्चित होना
  • वाक्य प्रयोग: दिन-भर थकने के बाद मजदूर रात को घोड़े बेचकर सोते हैं।
• चाँद पर थूकना
  • अर्थ:निर्दोष पर दोष लगाना
  • वाक्य प्रयोग: अरे, उस संत-महात्मा पर व्यभिचार का आरोप लगाना चाँद पर थूकना है ।

Important Points

• अन्य उदाहरण
• झोली भरना
  • अर्थ – भरपूर प्राप्त होना
• टाँग अड़ाना
  • अर्थ – अड़चन डालना
• टका सा जबाब देना
  • अर्थ – साफ़ इनकार करना
• टस से मस न होना
  • अर्थ – कुछ भी प्रभाव न पड़ना
• टोपी उछालना
  • अर्थ – निरादर करना

आँखों में धूल झोंकना का अर्थ 'धोखा देना'।

Key Points

• आँखों में धूल झोंकना- धोखा देना या झांसा देना
• वाक्य प्रयोग- सरकारी नौकर अपना कार्य न करके सरकार की आँखों में धूल झोंकना रहें हैं।

अन्य विकल्प-

• ढा़ढ़स बंधाना- तसल्ली देना
• वाक्य प्रयोग- मोहन का व्यापार में लगा पैसा डूब गया तो सोहन ने उसे समझाते हुए उसका ढाढ्स बधांया।
• आँख फोड़ना- बड़े ध्यान से पढ़ना
• वाक्य प्रयोग- परीक्षा के समय श्याम बहुत ध्यान से पढ़ता है।
• आदर देना- सम्मान करना।
• वाक्य प्रयोग- हमेशा बड़ो को आदर देना चाहिए।

Additional Information​महत्वपूर्ण मुहावरे-

• आग लगने पर कुँआ खोदना- पहले से कोई उपाय न कर रखना।
• अढ़ाई चावल की खिचड़ी अलग पकाना- सबसे अलग सोच-विचार रखना
• कलम तोड़ना- बहुत सुन्दर लिखना।
• कौड़ी को भी न पूछना- निकम्मा होना।
• काफूर होना- भाग जाना।