HAL Exam Study Material

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HAL Graduate Trainee Exam Study Materials

Sections-

Civil/ Mechanical/ Instrumentation/ Electronics/ Electrical/ Computer Science/ IT/ Civil
Logical & Analytical Reasoning
Aptitude

Syllabus-

Numerical Aptitude

Number Systems.
Rational Numbers.
Decimal & Fractions.
Computation of Whole Numbers.
Linear Equations.
Exponents & Powers.
Proportions.
Interest (Simple &Compound).
Square Roots.
Cube Roots.
Averages.
Percentages.
Tables & Graphs.
Ratio & Percentages.
Geometry.
Discount.
Areas.
Algebraic Expressions.
Fundamental Arithmetical Operations.

Reasoning Syllabus

Alphabet Series.
Analogy.
Non-Verbal Series.
Number Series.
Logic.
Problem Solving.
Figure Classification.
Arrangements.
Directions.
Clocks & Calendars.
Puzzle Test.
Similarities and Differences.
Number Ranking.
Coding-Decoding.
Blood Relations.
Embedded Figures.
Logical Sequence of Words.
Verbal and Figure Classification.
Arithmetical Computation.
Relationship Concepts.
Arithmetical Number Series.
Arithmetical Reasoning etc.

Mechanical

Applied Mechanics and Design.
Engineering Mechanics.
Strength of Materials.
Theory of Machines.
Vibrations.
Design.
Fluid Mechanics and Thermal Sciences.
Heat-Transfer.
Thermodynamics.
Applications.
Manufacturing and Industrial Engineering.
Engineering Materials.
Metal Casting.
Forming.
Joining.
Machining and Machine Tool Operations.
Metrology and Inspection.
Computer Integrated Manufacturing.
Production Planning and Control.
Inventory Control.
Operations Research.

Electronics Topics

Electronics and Communication Engineering.
Networks.
Electronic Devices.
Analog Circuits.
Digital circuits.
Signals and Systems.
Control Systems.
Communications.
Electromagnetics.

Civil

Reinforced Concrete Structures.
Concrete Technology.
Hydrology & Water Resources Engineering.
Civil Engineering Materials and Construction.
Steel Structures.
Hydraulic Structures.
PSC Structures.
Fluid Mechanics.
Solid Mechanics, Structural Analysis.
Surveying.
Transportation Engineering.
Soil Mechanics and Foundation Engineering.
Environmental Engineering.
Construction and Project Management.
Bridge Engineering.
Estimation, Costing, and Specifications.
Environmental Studies etc.

Instrumentation Engineering

Basics of Circuits and Measurement Systems.
Signals, Systems, and Communications.
Analog Electronics.
Electrical and Electronic Measurements.
Transducers, Mechanical Measurement and Industrial Instrumentation.
Digital Electronics.
Control Systems and Process Control.
Analytical, Optical and Biomedical Instrumentation.

Electrical Engineering

Network Theory.
Basic Electrical Engineering Concepts.
Utilization of Electrical Energy.
Power Electronics & Drives.
AC Fundamentals.
Measurement and measuring instruments.
Estimation and costing.
Magnetic Circuit.
Analog and Digital Electronics.
Power Systems.
Electrical Machines.
Basic Electronics etc.

Computer Science/ IT

Operating System.
Digital Logic.
Compiler Design.
Programming and Data Structures.
Computer Organization and Architecture.
Web Technologies.
Theory of Computation.
Computer Networks.
Algorithms.
Databases.
Information Systems and Software Engineering etc.

Civil engineering question paper-

1. A force P of 50 N and another force Q of unknown magnitude act at 90° to each other. They are balanced by a force of 130 N. The magnitude of Q is
a) 60 N
b) 80 N
c) 100 N
d) 120 N
Ans: d

2. If the resultant of two forces has the same magnitude as either of the force, then the angle between the two forces is
a) 30°
b) 45°
c) 60°
d) 120°
Ans: d

3. A rod AB carries three loads of 30 N, 70 N and 100 N at distances of 20 mm, 90 mm and 150 mm respectively from A.
Neglecting the weight of the rod, the point at which the rod will balance is
a) 109.5 mm from A
b) 119.5 mm from A
c) 125.5 mm from A
d) 132.5 mm from A
Ans: a

4. The angles between two forces to make their resultant a minimum and a maximum respectively are
a) 0° and 90°
b) 180° and 90°
c) 90° and 180°
d) 180° and 0°
Ans: d

5. When two forces, each equal to P, act at 90° to each other, then the resultant will be
a) P
b) PV2
c) P/V2
d) 2P
Ans: b

6. The resultant of two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then,
a) P = R
b) Q = R
c) P = Q
d) None of the above is correct
Ans: b

7. A cube on a smooth horizontal surface
a) cannot be in stable equilibrium
b) cannot be in neutral equilibrium
c) cannot be in unstable equilibrium
d) can be in any of these states
Ans: d

8. The following is in unstable equilibrium
a) a uniform solid cone resting on a generator on a smooth horizontal plane
b) a uniform solid cone resting on its base on a horizontal plane
c) a solid cube resting on one edge
d) a satellite encircling the earth
Ans: c

9. A block in the shape of a parallelopiped of sides lm x 2m x 3m lies on the surface. Which of the faces gives maximum stable block ?
a) 1 m x 2 m
b) 2 m x 3 m
c) 1 m x 3m
d) equally stable on all faces
Ans: b

10. A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable ?
a) pyramid
b) prism
c) both equally stable
d) none of the above
Ans: a

11. Minimum potential energy of a system will be in the position of
a) stable equilibrium
b) unstable equilibrium
c) neutral equilibrium
d) all of the above
Ans: a

12. A rigid body is in a stable equilibrium if the application of any force
a) can raise the CG of the body but can not lower it
b) tends to lower the CG of the body
c) neither raises nor lowers the CG of the body
d) none of above
Ans: a

13. Which of the following represents the state of neutral equilibrium ?
a) a cube resting on one edge
b) a smooth cylinder lying on a curved surface
c) a smooth cylinder lying on a convex surface
d) none of the above
Ans: d

14. Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis ?
a) disc with larger density
b) disc with smaller density
c) both discs will have same rotational inertia
d) none of the above
Ans: b

15. The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is
a) 64 J
b) 400 J
c) 464 J
d) 89 J
Ans: c

16. A symmetrical body is rotating about its axis of symmetry, its moment of inertia about the axis of rotation being 2 kg m2 and its rate of rotation 2 revolutions/see. The angular momentum of the body in kg-m2/sec is
a) 4
b) 6 7i
c) 8TC
d) 8
Ans: c

17. The angular speed of a car while taking a circular turn of radius 100m at 36 km/hour, is
a) 0.1 radian/sec
b) 1 radian/sec
c) 100 radian/sec
d) 1000 radian/sec
Ans: a

18. The torque produced by a force depends on
i) the magnitude of the force
ii) the direction of the force
iii) the'point of application of the force relative to origin The correct answer is
a) only (i)
b) both (i) and (ii)
c) both (i) and (iii)
d) all (i), (ii) and (iii)
Ans: d

19. The ratio of the speed of a rolling cylinder to the speed of sliding cylinder is
a) less than 1
b) equal to 1
c) between 1 and 2
d) greater than 2
Ans: a

20. A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane.
Which body gets to the bottom first ?
a) sphere with greater rotational energy at bottom than cylinder
b) sphere with lesser rotational energy at bottom than cylinder
c) cylinder with greater rotational energy at bottom than sphere
d) both reach the bottom simultaneously with equal rotational energy at bottom
Ans: b

21. A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec, . The work required to stop the hoop is
a) 2 J
b) 4 J
c) 6 J
d) 8 J
Ans: b

22. A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of centre of mass of rolling cylinder is
a) (1/3) g sinB
b) (2/3) g cos 9
c) (2/3) g sin 0
d) g sin 9
where 'g' is acceleration due to gravity and 0 is inclination of plane with hori¬zontal.
Ans: c

23. A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is
a) (1/3) g sin0
b) (2/5) g sin 0
c) (3/7) g sin 0
d) (5/7) g sin0
where g is acceleration due to gravity
Ans: d

24. A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is
a) less than (1/3) tan 0
b) less than (2/3) tan 0
c) less than (1/3) sin 6
d) less than (2/3) sin 6
Ans: a

25. Rate of change of angular momentum is equal to
a) force
b) torque
c) linear momentum
d) impulse
Ans: b

26. If the angular distance, 0 = 2t3 - 3t2, the angular acceleration at t = 1 sec. is
a) 1 rad/sec2
b) 4 rad/sec2
c) 6 rad/sec2
d) 12 rad/sec2
Ans: c

27. A circular disc rotates at n rpm. The angular velocity of a circular ring of same mass and radius as the disc and to have the same angular momentum is
a) n rpm
b) n/2 rpm
c) n/4 rpm
d) 2n rpm
Ans: b

28. A particle moves in a straight line and its position is defined by the equation x = 6 t2 - t3 where t is expressed in seconds and x in metres. The maximum velocity during the motion is
a) 6 m/sec
b) 12 m/sec
c) 24 m/sec
d) 48 m/sec
Ans: b

29. A flywheel of moment of inertia 20 kg-m" is acted upon by a tangential force of 5 N at 2 m from its axis, for 3 seconds. The increase in angular velocity in radian persecond is
a) 1/2
b) 3/2 '
c) 2
d) 3
Ans: b

30. A disc of mass 4 kg, radius 0.5m and moment of inertia 3 kg-m2 rolls on a horizontal surface so that its centre moves with speed 5 m/see. Kinetic energy of the disc is
a) 50 J
b) 150 J
c) 200 J
d) 400 J
Ans: c