All India Electrical Engineering (EE) Group

Directions to Solve

Each of the following questions consists of a set of three figures X, Y and Z showing a sequence of folding of apiece of paper. Figure (Z) shows the manner in which the folded paper has been cut. These three figures are followed by four answer figures from which you have to choose a figure which would most closely resemble the unfolded form of figure (Z).

Question -

Choose a figure which would most closely resemble the unfolded form of Figure (Z).

• a)
  1
• b)
  2
• c)
  3
• d)
  4

Directions to Solve

In each of the following problems, a square transparent sheet (X) with a pattern is given. Figure out from amongst the four alternatives as to how the patter would appear when the transparent sheet is folded at the dotted line.

Question -

 

Find out from amongst the four alternatives as to how the pattern would appear when the transparent sheet is folded at the dotted line.

     (X)                         (1)                     (2)                    (3)                     (4)

 

• a)
  1
• b)
  4
• c)
  2
• d)
  3

• a)
  724
• b)
  625
• c)
  214
• d)
  745

 Which of the following is a solution of the differential equation, assume p = 4 and q = 3 

• a)
  e^-3x  
• b)
  x e^-x
• c)
  x e^-2x
• d)
  x²e^-2x 

Consider the following question and decide which of the statements is sufficient to answer the question.
Find the value of n, if
Statements∶
1. AB = A
2. 

• a)
  Only 1 is sufficient
• b)
  Both 1 and 2 are not sufficient
• c)
  Either 1 or 2 is sufficient
• d)
  Only 2 is sufficient

• a)
  By increasing import costs
• b)
  By reducing the competitiveness of Indian goods
• c)
  By enhancing the attractiveness of remittances
• d)
  By decreasing market access to foreign countries

• a)
  National Consumer Protection Act
• b)
  Jago Grahak Jago App
• c)
  E-Commerce Transparency Initiative
• d)
  Consumer Rights Awareness Program

• a)
  They are too innovative and need regulation
• b)
  They should not serve as retirement homes for civil servants and judges
• c)
  They lack sufficient funding for operations
• d)
  Their primary role is to regulate the legislative process

• a)
  To provide internet access exclusively in urban areas
• b)
  To offer broadband internet through a network of low Earth orbit satellites
• c)
  To create a global telecommunications monopoly
• d)
  To replace traditional fiber-optic internet services

• a)
  Laborers' ToT has decreased while farmers' has increased
• b)
  Both laborers' and farmers' ToT have remained the same
• c)
  Laborers' ToT has improved significantly, while farmers' has declined
• d)
  Farmers' ToT has improved more than laborers'

• a)
  The Law of Reflection
• b)
  The Doppler Effect
• c)
  The Principle of Inertia
• d)
  The Law of Conservation of Energy

• a)
  Reducing agricultural research funding
• b)
  Investing in climate-resilient crops
• c)
  Limiting the use of technology in farming
• d)
  Increasing restrictions on fertilizer imports

• a)
  Decrease in oil imports
• b)
  Increase in demand for Indian goods
• c)
  Higher inflation rates in India compared to the US
• d)
  Strengthening of the Indian economy

• a)
  Bengal Tiger
• b)
  Indian Wild Ass (Khur)
• c)
  Asiatic Lion
• d)
  Snow Leopard

• a)
  To promote international trade agreements
• b)
  To showcase the cultural and artistic heritage of Kutch
• c)
  To celebrate the agricultural practices of the region
• d)
  To highlight technological advancements in tourism

In question y[n] is the convolution of two signal. Choose correct option for y[n].

• a)
  
• b)
  
• c)
  
• d)
  

In question y[n] is the convolution of two signal. Choose correct option for y[n].

• a)
  4/6
• b)
  
• c)
  
• d)
  

• a)
  
• b)
  
• c)
  
• d)
  

• A:

  

• B:

  

• C:

  

• D:

  

The answer is c.

• a)
  1 only
• b)
  1.5 only
• c)
  Any value between 1 and 2
• d)
  1.25

• a)
  stable but not causal.
• b)
  stable and causal.
• c)
  causai but unstable.
• d)
  unstable and not causal.

Match the system properties P1, P2 with the discrete time system relations R1, R2, R3 and R4.

Properties

P1 : Stable

P2 : Casual

• a)
  (R1,P1)(R2,P2)(R3,P2)(R4,P1)
• b)
  (R1,P1)(R2,P1)(R3,P2)(R4,P2)
• c)
  (R1,P2)(R2,P1)(R3,P2)(R4,P1)
• d)
  (R1,P2)(R2,P1)(R3,P2)(R4,P2)

A disrete-time LTI susyem is described by,

 

which one is the output y(n) ?

• a)
  sin δn
• b)
  δn
• c)
  a sin δ(n-1)
• d)
  u(n)

Let P be the linearity, Q be the Time-variant, R be the causality and S the static. A discrete­time system the input-output relationship,

where the x(n) is an input and y(n) is an output. The above system has the properties

• a)
  P, S but not Q, R 
• b)
  P, R, S but not Q
• c)
  P, Q, R, S                                     
• d)
  Only P but not Q, R, S

• a)
  y(t) = x² (t)
• b)
  
• c)
  y(t) = x'(t)
• d)
  Both (a) and (c)

• a)
  P, R, S but not Q                           
• b)
  P, Q, R but not S
• c)
  P, R but not Q, S  
• d)
  R, S, Q but not P

Find I₀ in the following circuit, R₁= 1.1 kilo ohms, R₂=3.25 kilo ohms, V= 3.7 v.

• a)
  1.5 mA
• b)
  2 mA
• c)
  0.5 mA
• d)
  1.2 mA

• a)
  1.5
• b)
  3.5
• c)
  2.06
• d)
  Null

• a)
  Solar winds
• b)
  Degassing
• c)
  Differentiation
• d)
  Photosynthesis

• a)
  BC - AD = -1
• b)
  g₁₂+g₂₁ = 0
• c)
  Z₁₂= Z₂₁
• d)
  h₁₂ + h₂₁ = 1

• a)
  series
• b)
  parallel
• c)
  series-parallel
• d)
  end-to-end

• a)
  Eosinophil  
• b)
  Monocyte
• c)
  Basophil  
• d)
  Lymphocytes 

• a)
  I must run fast to catch up with him.
• b)
  Our team scored a goal against the run of play.
• c)
  You can’t run over him like that.
• d)
  The newly released book is enjoying a popular run.

• a)
  64
• b)
  72
• c)
  65
• d)
  32
• e)
  None of the Above

• a)
  GSLV Mk III
• b)
  PSLV-C58
• c)
  Falcon 9
• d)
  Ariane 5

• a)
  Activating their Universal Account Number (UAN)
• b)
  Linking their Aadhaar and bank accounts
• c)
  Having a credit card
• d)
  Ensuring their Permanent Account Number (PAN) is current

• a)
  To prevent the occurrence of cancer in healthy individuals
• b)
  To enhance the immune system's ability to fight existing cancers
• c)
  To reduce the side effects of chemotherapy
• d)
  To provide nutritional support to cancer patients

• a)
  75%
• b)
  86%
• c)
  50%
• d)
  60%

• a)
  January 1, 2025
• b)
  February 1, 2025
• c)
  April 1, 2025
• d)
  December 31, 2025

• a)
  The accuracy of the Census data
• b)
  The timeline for conducting the Census
• c)
  The adequacy of the Census budget
• d)
  The inclusion of additional communities in the Census

• a)
  AlphaFold1 and AlphaFold2
• b)
  AlphaFold2 and AlphaFold3
• c)
  AlphaFold3 and DeepMind
• d)
  AlphaFold1 and BetaFold

• a)
  They may enhance agricultural productivity
• b)
  They could disrupt natural molecular design, leading to harmful pathogens
• c)
  They will likely have no effect on ecosystems
• d)
  They are exclusively beneficial for medical research

• a)
  Air Phase and Sea Phase
• b)
  Harbour Phase and Sea Phase
• c)
  Training Phase and Evaluation Phase
• d)
  Tactical Phase and Strategic Phase

• a)
  The President of Moldova
• b)
  India's External Affairs Minister S. Jaishankar and Moldovan Deputy Prime Minister Mihai Popsoi
• c)
  The Prime Minister of India
• d)
  The Secretary-General of the United Nations

• a)
  5,000
• b)
  9,500
• c)
  15,000
• d)
  25,000

• a)
  50%
• b)
  70%
• c)
  80%
• d)
  90%

• a)
  India became the largest buyer of Russian coal.
• b)
  India surpassed China as the largest buyer of Russian oil.
• c)
  Russia stopped exporting oil to India.
• d)
  China increased its oil imports from Russia.

• a)
  Measuring gravitational waves
• b)
  Studying X-ray polarization
• c)
  Monitoring solar flares
• d)
  Investigating cosmic microwave background radiation

• a)
  25%
• b)
  50%
• c)
  75%
• d)
  100%

• a)
  Virtual reality
• b)
  Quantum computing
• c)
  Artificial intelligence
• d)
  3D printing

• a)
  Mumbai
• b)
  Bengaluru
• c)
  Delhi-NCR
• d)
  Pune

• a)
  To simplify the tax filing process
• b)
  To enhance security and ensure compliance in tax-related processes
• c)
  To reduce the number of taxpayers required to file taxes
• d)
  To increase the number of tax exemptions available

• a)
  To increase the budget for the Census
• b)
  To adjust the representation of Scheduled Tribes in the Goa Assembly
• c)
  To include more communities in the ST list
• d)
  To delay the 2021 Census further

• a)
  To enhance the speed of drug manufacturing
• b)
  To improve the efficiency of predicting protein structures
• c)
  To create new types of pharmaceuticals
• d)
  To reduce the cost of biomedical research

• a)
  The symmetry of molecular structures, which is irrelevant to life forms
• b)
  The property of asymmetry in molecular structures, essential for biological functions
• c)
  The ability of molecules to replicate themselves
• d)
  The process by which organisms evolve over time

• a)
  To conduct joint military operations with other countries
• b)
  To enhance maritime cooperation between India and Sri Lanka
• c)
  To showcase naval technology advancements
• d)
  To train Special Forces for land operations

• a)
  To promote fossil fuel usage in developing countries
• b)
  To mobilize over USD 1000 billion for solar energy projects by 2030
• c)
  To increase nuclear energy production globally
• d)
  To discourage the use of renewable energy sources

• a)
  Spring 2024
• b)
  Spring 2025
• c)
  Summer 2025
• d)
  Fall 2025

• a)
  Conducting air surveillance
• b)
  Mapping sea floors and aiding maritime navigation
• c)
  Engaging in combat operations
• d)
  Transporting troops and supplies

• a)
  Methane
• b)
  Nitrous Oxide
• c)
  Carbon Dioxide
• d)
  Water Vapor

A function f (t) is shown in the figure.

• a)
  real and even function of ω
• b)
  real and odd function of ω
• c)
  imaginary and odd function of ω
• d)
  imaginary and even function of ω

Given that F(s) is the one-sided Laplace transform of f(t), the Laplace transform of   is [EC:

• a)
  
• b)
  
• c)
  
• d)
  

Real matrices  are given. Matrices [B] and
[E] are symmetric.
Following statements are made with respect to these matrices.
1. Matrix product [F]^T [C]^T [B] [C] [F] is a scalar.
2. Matrix product [D]^T [F] [D] is always symmetric.
With reference to above statements, which of the following applies?

• a)
  Statement 1 is true but 2 is false
• b)
  Statement 1 is false but 2 is true
• c)
  Both the statements are true
• d)
  Both the statements are false

Match List-I (Pole-zero plot of linear control system) with
List-II (Responses of the system) and select the correct answer:
Codes:

Codes:

A    B    C  D

• a)
  4    3     1     2
• b)
  4    3    2   1
• c)
  3   4    2    1
• d)
  3    4    1    2

• a)
  −66.25°
• b)
  66.25°
• c)
  23.75°
• d)
  −23.75°

• a)
  1 and 3    
• b)
  1, 4 and 5
• c)
  2, 3 and 4    
• d)
  1,3 and 4

• a)
  Maximum overshoot of the closed-loop system is increased.
• b)
  Rise time of the step response is increased.
• c)
  Stability of the system is increased.
• d)
  Bandwidth of the system is reduced.

The open wired circuit in the given figure works as a

• a)
  EX - NOR gate
• b)
  AND gate
• c)
  XOR gate
• d)
  NOR gate

• a)
  To increase public access to all electoral documents
• b)
  To enhance voter privacy and prevent misuse of sensitive records
• c)
  To allow non-candidates to access all election materials
• d)
  To eliminate the need for court permission to access election-related documents

• a)
  because due to base width decrease, less carrier combine in the base region,
• b)
  as the gradient of the minority carriers in the base region becomes steeper.
• c)
  due to ohm’s law, higher V_cc causes higher current.
• d)
  due to both the reasons (a) and (b).

• a)
  there is negative feedback in the base- emitter circuit.
• b)
  large emitter resistance is used.
• c)
  the emitter-base junction is highly reverse biased.
• d)
  large biasing resistance is used.

• a)
  1
• b)
  2
• c)
  4
• d)
  9
• e)
  None of these

• a)
  Quantum computing
• b)
  Scanning Electron Microscopy
• c)
  Artificial Intelligence
• d)
  Rapid genome decoding

• a)
  To enhance satellite imaging capabilities
• b)
  To secure communication signals using quantum technology
• c)
  To improve weather forecasting accuracy
• d)
  To facilitate global navigation systems

• a)
  High fever, uncontrollable body shaking, and paralysis-like immobility
• b)
  Itchy rashes, severe headaches, and nausea
• c)
  Chronic cough, shortness of breath, and fatigue
• d)
  Joint pain, swelling, and fever

• a)
  To increase the number of contractors in highway projects
• b)
  To reduce the need for post-construction surveys
• c)
  To replace manual labor entirely in construction
• d)
  To focus solely on aesthetic improvements in road design

• a)
  To impose higher tariffs on imports
• b)
  To eliminate trade barriers between countries
• c)
  To restrict the flow of foreign investments
• d)
  To standardize laws across different nations

• a)
  Inaccurate data reporting
• b)
  Lack of ethical approval
• c)
  Insufficient sample size
• d)
  Conflicts of interest among researchers

• a)
  Madhya Pradesh
• b)
  Arunachal Pradesh
• c)
  Lakshadweep
• d)
  Odisha

• a)
  To provide a historical account of forest policies in India
• b)
  To assess the current status and trends of forest and tree resources in India
• c)
  To evaluate the economic impact of forests on local communities
• d)
  To promote tourism in forest areas across India

• a)
  NSO Group was found not liable for its actions
• b)
  NSO Group was held liable for targeting WhatsApp users with spyware
• c)
  NSO Group was ordered to cease operations in the US
• d)
  NSO Group was fined for data privacy violations unrelated to WhatsApp

• a)
  (1/2) [X*(k)+X*(N-k)].
• b)
  (1/2) [X*(k)-X*(N-k)].
• c)
  (1/2j) [X*(k)-X*(N-k)].
• d)
  (1/2j) [X*(k)+X*(N-k)].

Consider the continuous random variable with probability density function  

The standard deviation of the random variables is  

• a)
  1/√3
• b)
  1/√6
• c)
  1/3
• d)
  1/6