ESE (CE) Paper I Mock Test - 2 - Civil Engineering (CE) MCQ

Given,

Sum of eigen values = Trace (A) = 2 + y 
Product of eigen values = |A| = 2y - 3x 
∴ 4 + 8 = 2 + y ...... (i)
4 × 8 = 2y - 3x ...... (ii)
∴ 2 + y = 12 ........... (iii)
2y - 3x = 32........... (iv)
Solving equations (i) and (ii), we get
x = - 4 and y = 10

Given,

Let λ₁ and λ₂ be the Eigen value of matrix A
|A| = λ₁λ₂
|A| = 2k - 1
∵ λ₁ and λ₂ are positive i.e., λ₁λ₂ > 0
(2k - 1) > 0
∴ k > 1/2

Plastic recycling: It is the process of recovering scrap or waste plastic and reprocessing the material into useful products.

Need for plastic recycling:

• Long term usage and exposure of plastics and plastic products to high temperature can lead to leaching of toxic chemical constituents into food, drinks, and water.
• Indiscriminate disposal of plastics on land and open-air burning can lead to the release of toxic chemicals into the air causing public health hazards.

The reasons for low rate of plastic recycling are:

• Scrap plastic has little value because virgin material is rather cheap
• Low density of plastic leads to high shipping and handling cost

A distributed denial-of-service (DDoS) attack is a malicious attempt to disrupt the normal traffic of a targeted server, service, or network by overwhelming the target or its surrounding infrastructure with a flood of Internet traffic.

The virus is a computer program that attached itself to legitimate programs and files without the permission of the user.

A Trojan horse is a program that allows the attack to control the user’s computer from a remote location.

Cracking is when someone performs a security hack for criminal or malicious reasons, and the person is called a “cracker.”

Given:
Cost of production of phone = Rs 900
The ratio of costs of material, labor, and overheads = 3 : 4 : 2 
The profit on labor's component = 20%
We know that the profit is calculated on the cost price of the component.
⇒ The cost of material = 3 x 900/9 = Rs 300
The cost of labor = 4 x 900/9 = Rs 400
The cost of overheads = 2 x 900/9 =  Rs 200
Now, the profit is on the labor component = 20% of Rs 400 = 20 x 400/100 = Rs 80 
There is no profit on other components, so the marked price will be = Cost of material+ cost of labor+ cost of overheads+ profit on labor
⇒ Marked price = 300 + 400 + 200 + 80 = Rs. 980 
∴ the marked price of the set is Rs 980

Primary green house gases are methane, water vapour, nitrous oxide and ozone. Carbon dioxide makes up the vast majority of greenhouse gas emissions from the sector, but smaller amounts of methane and nitrous oxide are also emitted. These gases are released during the combustion of fossil fuels, such as coal, oil, and natural gas, to produce electricity. Water vapour is also an effective greenhouse gas, as it does absorb longwave radiation and radiates it back to the surface, thus contributing to warming. When compared to other greenhouse gases, water vapour stays in the atmosphere for a much shorter period of time.

• Ease of doing business is an index published by the World Bank. It is an aggregate figure that includes different parameters which define the ease of doing business in a country.
• The Human Development Index (HDI) is released by United Nations Development Program. It was created to emphasize that people and their capabilities should be the ultimate criteria for assessing the development of a country, not economic growth alone.
• HDI is a summary measure of average achievement in key dimensions of human development: a long and healthy life, being knowledgeable and have a decent standard of living. The HDI is the geometric mean of normalized indices for each of the three dimensions.
• The Global Hunger Index (GHI) a report jointly published by Concern Worldwide and Welthungerhilfe. It is a tool designed to comprehensively measure and track hunger at global, regional, and national levels.

The International Monetary Fund (IMF) is an organization of 189 countries, working to foster global monetary cooperation, secure financial stability, facilitate international trade, promote high employment and sustainable economic growth, and reduce poverty around the world. Created in 1945, the IMF is governed by and accountable to the 189 countries that make up its near-global membership.

The IMF's primary purpose is to ensure the stability of the international monetary system – the system of exchange rates and international payments that enables countries (and their citizens) to transact with each other.

The Fund's mandate was updated in 2012 to include all macroeconomic and financial sector issues that bear on global stability.

Given,

Taking

Solid material chemical bonds are ionic, covalent bond and metallic bond.

The atoms and molecules are held together by strong mutual forces of attraction. These interatomic forces are electrostatic in nature and depend upon the electronic structure of the element. Binding forces between atoms and molecules are known as chemical bonds. 

lonic bond is the strong electrostatic attraction between cation and anion. Covalent bonds are one in which there is a sharing of one or more electrons from the adjacent atoms. A metallic bond is formed by the partial sharing of valence electrons by the neighbouring atoms. The atoms in metals and alloys are held together by such bonds.

• The criteria for achieving and sustaining professional status or professionalism are advanced expertise, self regulation, and public good. The expertise includes sophisticated skills and theoretical knowledge in exercising judgment. This means a professional should analyze the problem in specific known area, in an objective manner. 
• One should analyze the problem independent of self-interest and direct to a decision towards the best interest of the clients/customers. An autonomous judgment (unbiased and on merits only) is expected. In such situations, the codes of conduct of professional societies are followed as guidance. 
• One should not be a mere paid employee of an individual or a teaching college or manufacturing organization, to execute whatever the employer wants one to do. The job should be recognized by the public. The concerted efforts in the job should be towards promotion of the welfare, safety, and health of the public.

Statement 1:

To encourage the adoption of solar energy production, many State Governments and the Centre have announced plans by way of buy back as well as subsidies for installation.

Statement 2:

A simple rule of thumb is to take 100 sqft for every 1kW of solar panels. Extrapolating this, a 1 MW solar PV power plant should require about 100000 sqft (about 2.5 acres, or 1 hectare).

So, we need a large area for solar energy production and the land acquisition is necessary for this purpose which is a major bottleneck.

Statement 3:

The capital cost of solar power plant is very high as the cost of solar panels is high. Considerable R & D effort is needed to bring down the cost of P - V cells.

An alpha particle is identical to a helium atom that has been stripped of its two electrons; thus, an alpha particle contains two protons and two neutrons. Alpha particles can not penetrate human skin. Emitters of α-particles are heavy elements and they have large ionization power.

Ionization refers to the complete removal of an electron from an atom following the transfer of energy from a passing charged particle. Because of their double charge and relatively slow velocity, alpha particles have a high specific ionization and a relatively short range in matter. Alpha particles are heavily ionized matter and they quickly lose their kinetic energy. So, their emitters are heavy elements.

Given: 

We have to find the value of 3^x.

So, 2^{3 x 2} = 2^2x 

2⁶ = 2^2x

By equating the exponents we get,

x = 6/2

x = 3

By substituting the value of x in 3^x we get,
3^x = 3³ = 27

So, the value of 3^x is 27 .

Given,

Laplace equation in a square domain (0 < x < 1 and 0< y < 1) means:

∇²T = 0

(0 < x < 1 and 0< y < 1)

Boundary condition:
f₁(x) = T(x, 0) = x
f₂ (y)T(0,y) = y
f₃(x) = T(x,1) = 1 + x
f₄(y)T(1,y) = 1+ y

Given:
Equation of line y = 3x - 1
General equation of line is y = m₁x + c
∴ m₁ = 3
If two lines are perpendicular, then m₁.m₂ = -1 
Slope of line perpendicular to y = 3x- 1  will be -1/3 (∵ 3.m₂= -1, m₂ = -1/3) 
Equation of line y = m₂x + c 
y = -1/3x+ c
3y + x = c 
This line passes through the point (1,2)
∴ 3(2) + 1 = c 
c = 7
Equation of line becomes  x + 3y = 7 
x + 3y - 7 = 0 

In a sampling inspection plan, the items or units produced/manufactured by the producer are formed in lots. The average quality level of the lots is set by the producer and the consumer through negotiation and the producer sends the lots to the consumer for inspection. The quality of the lots before the inspection is known as incoming quality.

The average total inspection depends on the incoming quality, the probability that the lot will be accepted, and the sample and lot sizes. The average number of items inspected for a series of lots in order to make a decision is the average sample number. The average quality level of a series of batches that leave the inspection station after coming in for inspection at a certain quality level is the average outgoing quality limit.

Hence the correct option is (B).

The atomic packing factor in case of copper crystal is 0.74.

In the crystal structure, the atomic packing factor (APF) or packing efficiency or packing fraction is the volume of atoms in a unit cell divided by the volume of the unit cell. It is a dimensionless quantity and always less than unity. It is also known as packing efficiency (η). A copper crystal has atomic packing factor of 0.74 units.

The Atomic packing factor (APF) is calculated as:

APF

As we know, 

Equation of Hyperbola:

Eccentricity

Vertices  = (±a, 0)  

Focus = (±ae, 0 ) 

The vertices of the given hyperbola are  (±3,0) which are in the form of (±a,0). 

∴ a = 3

Also, the foci are (±4,0), which is in the form of  (±ae,0) . 

∴ ae = 4

⇒ e = 4/3 (∵ a = 3) 

Now,

Squaring both sides, we get

∴ Equation of hyperbola is
.

The Royal Netherlands Navy Ship HNLMS Tromp conducted a Maritime Partnership Exercise with INS Trishul, showcasing cooperation and operational engagement between the Indian Navy and the Netherlands Navy.

Equation of lines are: x + y - 3 = 0  and x - y + 3 = 0

∴ Slopes of the above lines are -1 and 1 respectively.

Since product of their slope is -1. 

∴ Angle between these lines is  90° ⇒ α​​​​​​​ = 90°

Also, angle between the lines: x - √​​​​​​​3y + 2√3 = 0  and √3x - y +1 = 0

The statement I is incorrect as this could be a probable situation but not sure as maybe both boys have blue eyes and both girls have brown eyes.

The statement II is correct as this is a sure situation as among 4 children half are girls that mean other half being 2 are boys.

The statement III is incorrect it is probable but not sure as maybe both girls has brown eyes and both boys have blue eyes, or one girl and one boy has brown eyes.

The application of information is called as knowledge. Knowledge application is when available knowledge is used to make decisions and perform tasks through direction and routines. In an information system, Knowledge can be described as: “an awareness and understanding of a set of information and the ways that information can be used to support a specific task or reach a decision”.

Nawab Iftikhar Ali Khan was known by the nickname tiger in the world of sports. His full name was Mohammad Mansur Ali Khan of Pataudi. Pataudi once said that he got the nickname “Tiger” as a kid, well before he started playing cricket.

Given,

Number of history books = 3

Number of Science books = 4

Number of Maths books = 2

According to the question,

A number of ways history books can be arranged =  3!  =  3  x  2  x  1  =  6

A number of ways science books can be arranged  = 4! = 4 x 3 x 2 x 1 = 24

A number of ways maths books can be arranged  = 2! = 2

A number of ways all three books can be arranged = 3! = 3 x 2 x 1 = 6
Total number of ways  = 6 x 6 x 24 x 2 = 1728

The National Institute of Mental Health & Neuro Sciences (NIMHANS) in Bengaluru has been awarded the prestigious Nelson Mandela Award for Health Promotion for 2024 by the World Health Organization (WHO). This recognition highlights NIMHANS' exceptional dedication and contributions to promoting mental health and well-being. Established by WHO in 2019, the Nelson Mandela Award for Health Promotion acknowledges institutions that demonstrate outstanding efforts in advancing health promotion initiatives, reflecting NIMHANS' significant impact in the field of mental health advocacy and promotion.

The current account records exports and imports in goods and services and transfer payments. Trade-in services denoted as invisible trade includes both factor income (payment for inputs-investment income, that is, the interest, profits and dividends on our assets abroad minus the income foreigners earn on assets they own in India) and non-factor income (shipping, banking, insurance, tourism, software services, etc.).

• CAD rises/widens when the value of goods and services a country imports exceeds the value of goods and services it exports. Reducing export subsidy can hamper the growth of exports and thus widen the current account deficit. So, statement 2 is correct.
• One of the objectives of enforcing import quota is to reduce the balance of payments deficit by restricting imports. That portion of national income going into imports can be utilised for investment in the import substitution or export industries. The expansion in exports, coupled with the restriction of imports is likely to bring about improvement in the balance of payments position of the country. So, statement 3 is not correct.
• India is one of the biggest importers of crude oil. A rise in crude oil prices indicates rising imports and thus CAD widens. So, statement 1 is correct.
• ECBs are borrowings raised by permitted resident entities from recognized non-resident entities. Therefore, ECBs would lead to capital inflow which would in turn reduce CAD. So statement 4 is not correct.

PhonePe, a prominent digital payments platform, has partnered with Star Health Insurance to provide the Star Comprehensive Insurance Policy on its app. 

Schottky defect lowers the density of ionic crystal.  In this defect, cations or anions are missing. Due to their vacancies, the mass of crystal deceases but their volume remains same. 

Frenkel defect is observed when cation or anion from ionic solid leaves its regular site and moves to occupy a place between the lattice site called interstitial position. It is found in ionic compounds with low co-ordination numbers and where anions are much larger in size than cations. Thus, in this defect, the number of cations and anions remains unchanged. Only their location is changed.