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ʴ˟˟˄˨˘˥˜˘˦˥˘˟˔˧˘˗˧ˢ ʸˆʸʠʥʣʤʬ˃˅ʸʿʼˀˆ ˆˢ˟˨˧˜ˢˡ˦˔˥˘˧ˢ˕˘˦˘ˡ˧˧ˢ˧˛˘˙ˢ˟˟ˢ˪˜ˡ˚˘ˠ˔˜˟˔˗˗˥˘˦˦
Subject wise weightage
Subjects
No. of
Questions
Current Issues & Background Concepts of Social Economic
and Industrial development
Engineering Aptitude 10
Engineering Mathematics and Numerical Analysis 05
General Principles of Design, Drawing, Importance of Safety 06
Standards and Quality practices in production, construction,
maintenance and services
Basics of Energy and Environment 12
Basics of Project Management 11
Basics of Material Science and Engineering 15
Information and Communication Technologies (ICT) 10
Ethics and Values in Engineering profession 12
Subject Experts,
ACE Engineering Academy
GENERAL STUDIES AND
ENGINEERING APTITUDE
SET
A
Solution:
Under perfect competition many companies sell similar products, compete against each other and there is a
free entry and exit to the market, sole producer selling a distinct product is a characteristic of monopolistic
competition.
Topic : Micro Economics : Types of Market; Difficulty level: Moderate; Txt Bk Reference - Pg 138
End of Solution
- The cheapest method of marketing of securities with the only cost incurred being on sending ‘ letters of rights ’ to
existing holders is
(a) Public issue through prospectus method
(b) Offer for sale method
(c) Rights Issue
(d) Subscription by inside coterie method
Ans: (c)
Solution: Rights letter is a formal document informing current share holders their right to buy rights issue.
Topic: Financial Markets Difficulty level: Tough & Class discussion on IPO
End of Solution
- ‘ Fiscal policy ’ means
(a) Balancing the revenue collection and expenditure
(b) Establishing equilibrium between demand and supply of goods and services
(c) Use of taxation, public borrowing and public expenditure by Government for purposes of ‘stabilization’ or
‘development’
(d) Deficiency as an instrument of growth
Ans: (c)
Solution:
Fiscal policy is composed of several parts, they include
- Tax policy
- Expenditure policy
- Investment and disinvestment strategies
- Debt and surplus management
Topic: Public Finance : Fiscal Policy; Difficulty level: Moderate; Text Book Reference - Pg 48 & Class notes
End of Solution
- Which of the following come under the offerings of ‘MUDRA’ Bank?
(a) Portfolio Credit Guarantee
(b) Credit for large industries
(c) MUDRA Card
(d) Credit Enhancement
Select the correct answer using the codes given below:
(a) 1, 2 and 3 only (b) 1, 3 and 4 only (c) 1, 2 and 4 only (d) 2, 3 and 4 only
Ans: (b)
Solution:
MUDRA Bank does not offer credit facilities to large industries.
MUDRA stands for Micro Units Development and Refinance Agency Ltd.
Topic: Banking ; Difficulty level: Easy; Text Book Reference - Pg 26 & Class notes
End of Solution
- Which of the following is/are the key reasons for encouraging start up Enterpreneurship?
- Innovations
- Focusing on service industry
- Bringing the values of Proactivity into the society
Select the correct answer using the codes given below:
(a) 1 only (b) 2 only (c) 1 and 3 only (d) 1, 2 and 3
Ans: (c)
Solution:
The five key reasons for encouraging entrepreneurship
- Innovations
- New jobs and economic growth
- Bringing new competitive dynamics into the economic system
- Promoting research - innovation system
- Bringing values of proactivity into the society
Topic: Industrial Sector: Entrepreneruship & Skill Development Difficulty level: Moderate; Class discussion
End of Solution
- Which of the following are the main objectives of Gold Monetization Scheme launched in the country?
- To monetize gold holdings in the country
- To increase export of gold from the country
- To reduce India’s import bill
- To meet the targets of reduction in fiscal deficit
Select the correct answer using the codes given below:
(a) 1 and 4 only (b) 2 and 4 only (c) 2 and 3 only (d) 1 and 3 only
Ans: (d)
Solution:
The objective of gold monetization scheme is to reduce Current Account Deficit (CAD) through reduction of Gold
Import and to monetize gold holding in the country.
Topic: Gold Monetization ; Difficulty level: Easy Text Book reference - Pg 38 & Class notes & Class discussion
End of Solution
- A person travelled by car 70 km towards north to A then covered 30 km turning left to B. Again he turned towards
left and travelled 110 km to C. Then he cycled at the rate of 10 km/hour towards the starting point. The time taken
by him to reach the starting point from C will be
(a) 3 hours (b) 5 hours (c) 7 hours (d) 21 hours
- A student purchases some books for Rs.1600. If he had bought 8 more books for the same amount, each book
would cost Rs. 10 less. The number of books he buys is
(a) 30 (b) 32 (c) 34 (d) 36
Ans: (b)
Solution:
Let no. of books purchased initially = x
Then, no of books purchased at new price = (x + 8)
Then,
Initial price of book – New price of book = 10
x
x 8
going by the options, only choice (b)
satisfies the equation (1)
End of Solution
- A hemisphere depression is cut out from one face of the cubical wooden block such that the radius r of the
hemisphere is equal to half of the edge of the cube. What will be the surface area of the remaining solid?
(a) 2r
2 (π+24) (b) r
2 (π+24) (c) 2r
2 (π+36) (d) r
2 (π+36)
Ans: (b)
Solution:
Let, edge of the cube = 2r
Then, surface area of the cube = 6 (2r)
2 or 24 r
2
Radius of the hemi-sphere = r [half of the edge of the cube]
Then, surface area of hemi-sphere = 2πr
2
surface area of the remaining solid = 24r
2
2
2 = 24r
2
2 = r
2 (24 + π) sq. units
[Note: πr
2 is subtracted because an area equal to area of circle with radius ‘r’ is cutoff]
End of Solution
- A rod of length , is to be divided into two parts, such that if 5 times the smaller portion is added to half of the
larger portion, it will always be less than ,. This can be achieved by taking length of the larger portion more than
(a) 10
, (b) 8
, (c) 7
, (d) 6
Ans: (a)
Solution:
We need to go by the options
1st option:
(i) Let , = 100 units
smaller portion = 100 units
larger portion = 90 units
now, 5(small portion) 2
⇒ 5 (10) + 45 ⇒ 95 units
(ii) Let smaller portion = 8, larger portion = 92
then, 5(8) 2
(^) (92) 86 units
both the set of values satisfy the given condition.
End of Solution
- Which of the following conditions hold good for a train which crosses the bridge of length , in time t 1
and crosses
another bridge of length 2
in time t 2
(1) t
t
2
1
(2) 2t 2
t 1
(3) t
t
1
(4) speed of train is 10
if t 1
Select the correct answer using the codes given below:
(a) 1 and 4 only (b) 2 and 4 only (c) 1 and 3 only (d) 2 and 3 only
Ans: (b)
Solution:
Let, length of the bridge = 200m (in 1st case)
Length of the train = 200m
Time taken to cross the bridge = 10sec (1st case)
Then, speed of the train T
D
(^) & &40m/sec
nd case: length of the bridge 2
= (^) (200m) or100m= 7.5 sec
Time taken to cross the bridge 40
Now, t 1
= 10sec
t 2
= 7.5sec
∴ 2t 2
t 1
Explanation for option 4: difference in the distance covered in the process of crossing 1
st bridge & 2
nd bridge 2
difference in time taken = 5sec
∴ sp of the train difference in time
difference in distance
d n
End of Solution
- A man sold a chair and a table together for Rs. 7,600, thereby making a profit of 25% on the chair and 10% on the
table. By selling them together for Rs. 7,500 he would make a profit of 10% on the chair and 20% on the table.
Then the cost price of chair and table will be
(a) Rs. 3000 and Rs. 4000 (b) Rs. 3500 and Rs. 4000
(c) Rs. 3000 and Rs. 3500 (d) Rs. 3500 and Rs. 3500
Ans: (c)
Solution:
Let cost of the chair = Rs. x
Cost of the table = Rs. y
Then, 1.25x + 1.1y = Rs. 7600 .........(1)
1.1x + 1.2y = Rs. 7500 ..........(2)
solving (1) & (2)
x = Rs. 3000, y = Rs. 3500 [Answer choice is c]
Alternate method: take the help of choice going by 3
rd choice
End of Solution
- In two concentric circles, a chord length 80 cm of larger circle becomes a tangent to the smaller circle whose
radius is 9 cm. The radius of the larger circle will be
(a) 13 cm (b) 41 cm (c) 52 cm (d) 75 cm
Ans: (b)
Solution:
Let AB be the chord of bigger circle
Then , AB is tangent to the smaller circle
‘O’ is the centre of the 2 circles
OC is the radius of the smaller circle
A
B
C
O
90
o
OA is the radius of the larger circle
AC = 40, half of the radius drawn at chord. The point of tangency makes an angle of 90
o
OA 40 9
2 2 (^) = 41cm
End of Solution
- Professionals who breach the ‘ duty of care ’ are liable for injuries their negligence causes, This liability is commonly
referred to as
(a) Professional offense (b) Professional negligence
(c) Professional misdeed (d) Professional malpractice
Ans: (b)
Solution:
Professional negligence is a breach of the duty of care between professionals and their clients. The duty of care
is a common law arrangement where the client expects a level of professionalism and standards commonly held
by those in the profession.
Professional offence is an organized crime and an intentional act on the part of the professional
Professional misdeed is a wrong - an immoral deed. or illegal deed in the profession
Professional malpractice
An act or continuing conduct of a professional which does not meet the standard of professional competence and
results in provable damages to his/her client or public. Such an error or omission may be through negligence,
ignorance (when the professional should have known), or intentional wrongdoing. However, malpractice does not
include the exercise of professional judgment even when the results are detrimental to the client.
End of Solution
- Information used in a business, generally unknown to the public, that the company has taken strong measures to
keep confidential is called
(a) A patent (b) A copyright (c) A trade secret (d) A trade mark
Ans: (c)
Solution:
A trade secret is confidential information held secret by an organization and not shared with public. It fall under
the category of proprietary information. The other three are covered through a legal protection.
Source: ACE Material Page No 51 – Proprietary information
log X = Kx + C 1
T
dT K dt 2
b l
X e
Kx C 1 .......... 2 ` =^
log T
K
t c 2
b l
T e ( ) 3
K t c 2
1 2 ` ^
b l+
(2) & (3) in (1)
u x t ( , ) e .e
Kx c
K t c 2
1 1 2 =
b l+
Ce where C e e
Kx
K t c c 2
1 1 2 = =
b l
Given, u(x, 0) = 6e
-3x
⇒ 6e
-3x = Ce
Kx
& C ^6 &K 3
∴ u(x, t) = 6 e
-3x - 2t
= 6 e
-(3x + 2t)
End of Solution
- Polar form of the Cauchy-Riemann equations is
(a) r
u r
v and r
v r
u
2
(^) (b) r
u
r
v and r
v
r
1 1 u
2
D e m o ^
(c) r
u
r
v and r
v r
1 u
2
(^) (d) r
u r
v and r
v
r d
1 u
2
Ans: (b)
Solution:
In Polar coordinates, cauchy-riemann equations are & r
u
r
v
r
v
r
1 1 u
2
End of Solution
- If f(z) has a pole of order n at z = a, then Residue of function f(z) at a is
(a) ( ) !
Res f a n (^) dz
d z a f z
n
n n
z a
1
1 1
=
]
^^ ]
g
' h^ gh 1
(b) ( ) !
Res f a ( ) n dz
d z a f z 1
n
n n
z a
1
1 1
] =
_^
g
' h^ i 1
(c) ( ) !
Res f a ( ) n (^) dz
d z a f z
n
n n
z a
1
1
=
]
_^
g
' h^ i 1
(d) ( ) !
Res f a n dz
d z a f z 1
n
n n
z a
1
1
] =
^^ ]
g
' h^ gh 1
Ans: (d)
Solution:
By cauchy’s integral formula,
If z = a is poll of order n,
Res f a n dz
d z a f z 1
n
n n
z a
1
1
=
]
]
g ^ ]
g
' h g 1
End of Solution
- Consider following diagram: AC is a diameter of the large circle and AB = BC.
A (^) B
D C
The ratio of areas of the large circle to the small circle of a square is
(a) 4 : 1 (b) 1 : 4 (c) 2 : 1 (d) 1 : 2
Ans: (c)
Solution:
Let, side of the square = x cm
Then, diagonal of the square = 2 x cm
or
Diameter of bigger circle
Area of the bigger circle 2
2 x
2
= G
x sq.cm
2
Diameter of smaller circle = side of the square
= x cm
∴ Area of smaller circle = 2
x or 4
x sq.cm
(^2 )
r
r < F
∴ Required Ratio 2
x : 4
x or 2: 1
2 2 r r =
End of Solution
- Which of the following statements are correct for portable step-ladders?
- Used on working platforms to gain height above the protected edge.
- Used in the fully opened position.
- Should be of a length that ensures a person’s feet are not positioned any higher than the second top rung.
Select the correct answer using the codes given below:
(a) 2 and 3 only (b) 1 and 3 only (c) 1 and 2 only (d) 1, 2 and 3
Ans: (c)
Solution:
- Unprotected edge means any side or edge (except at entrances to points of access) of a walking/working
surface, eg: floor, roof, ramp or run way where there is no wall or guard rail system atleast 39 inches (or 1m)
high.
- Protected edge is where the surface is properly protected using the guard rails, etc.,
Statement 1: True
Based on the above definition portable step ladders are used to gain access above the protected edge.
Statement 1: True
For the safety of workers/users the portable step ladders should always be used in a fully opened and locked
conditions.
Statement 3: False
As per OSHA → “DO NOT STAND ON the top 3 rungs of a straight or extension ladder”.
- Consider the following Repeat Unit Structure
H
C C
H
H
C N
What is the above polymer?
(a) Poly(amide-imide) (b) Polyacrylonitrile (c) Polybutadiene (d) Polyethylene
Ans: (b)
Solution:
Polymer Name Repeat Unit
1. Poly (amide-imide)
H
C
O
N R
2. Polyacrylonirile
CH CH 2
C N
3. Polybutadiene N C R C
H H
H H
H H
4. Polyethylene
C C
n
H
H
H
H
End of Solution
- Which of the following measures is/are correct for using Mobile Equipment Working Platform (MEWP)?
- Tyres are properly inflated and air filled.
- SWL to be marked in platforms as identification for carrying loads.
(a) 1 only (b) 2 only (c) Both 1 and 2 (d) Neither 1 nor 2
Ans: (c)
Solution:
→ Mobile Equipment Working Platform (MEWP) is a mechanical device used to provide temporary access for
people or equipment to in accessible areas, usually at height.
→ Statement 1: True
Tyres should be properly inflated to provide proper balancing and safety of the workers and equipment on
the platform when the MEWP is moving.
→ Statement 2: True
‘Safe working load’ should be properly marked as warnings for safe usage of MEWP.
Solution:
Cutting a cone parallel to end generated then the true shape of section is “Parabola”.
End of Solution
- Consider the following components
- Knowledge of psychology
- Knowledge of the theory of variation
- Knowledge of process
- Knowledge of the system and the theory of optimization
Which of the above components comprise the basis of Deming’s Systems of Profound Knowledge?
(a) 1, 2 and 3 only (b) 1, 3 and 4 only (c)1, 2 and 4 only (d) 2, 3 and 4 only
Ans: (d)
Solution:
Knowledge of psychology is not part of profound knowledge. It deals with psychology of change.
End of Solution
- Consider the following statements:
- Greenfield Privatization or Incremental Privatization denotes encouragement to private sector in areas
hitherto reserved for Public Enterprises.
- Cold Privatization refers to measures taken to distance Public Enterprises from the Government.
Which of the above statements is/are correct?
(a) 1 only (b) 2 only (c) Both 1 and 2 (d) Neither 1 nor 2
Ans: (c)
Solution: Greenfield privatization or incremental privatization denotes encouragement to private sector in areas
hitherto reserved for public sector, not allowing new investment on the part of public sector agencies, preferential
treatment given to public sector.
Cold privatization refers to public enterprises made to behave like private enterprises by giving financial autonomy,
autonomy in investment decisions, entering into Memorandum of Understanding (MoU) to fix prices, output.
Topic: Industrial Sector; Difficulty level: Moderate; Class discussion
End of Solution
- Which of the following steps are involved in the product improvement cycle?
- Sell it in the market
- Determine quality of performance
- Design the product based on customer needs
- Test it in the laboratory
Select the correct answer using the codes given below:
(a) 1 and 3 only (b) 2 and 4 only (c) 1, 3 and 4 only (d) 1, 2, 3 and 4
Ans: (d)
Solution:
Statement 1: True
Product improvement cycle ultimate goal is to reach the customer (sell it in the market)
Statement 2: True
In order to improve the product, the current quality of performance should be assessed.
Statement 3: True
Product improvement should focus on the customer needs to build the product that can be used and liked by the
customers.
Statement 4: True
Product improvement cycle includes testing the product for its goals and specifications.
End of Solution
- Who is responsible for establishing, documenting and maintaining procedures for post-production handling
functions such as storage, packaging and delivery?
(a) Production Manager (b) Marketing Manager
(c) Vendor (d) Quality Supervisor
Ans: (b)
Solution:
Production System
Raw
Materials
Finished Goods
Semi-finished
Goods
Inputs (^) Outputs
Marketing
& Sales
Marketing manager role will start after production only. Sales and Distributions are the major activities.
(Source Class notes)
End of Solution
- A unit produces packing boxes. Out of hourly production of 4000 boxes, 20 were found to be non-conforming. If
the inspector randomly chooses a box form an hour’s production, the probability of it being non-conforming is
(a) 0.02 (b) 0.10 (c) 0.005 (d) 0.
Ans: (c)
