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The branch of mathematics concerned with numerical calculations such as addition, subtraction, multiplication, division and extraction of square roots.
Arithmetic
Algebra
Aristolelian logic
Arithmetic series
A diagram in which complex numbers are, represented by the points in Cartesian plane the coordinates of which are respectively the real, and the imaginary parts of a given number
a. Argand diagram
a. Venn diagram
a. diagram of arrows
a. Influence diagram
Greek mathematician, physicist and inventor generally regarded as the greatest mathematician of antiquity. He laid the foundations of mechanics, statics and hydrostatics
Aristotle
Archimedes
Leonard Euler
Pascals
Refer to the systems of equations where the number of equations is one less than the number of unknowns.
Binomial Equations
Euclid’s axioms
Maclaurin Series
Diophantine equations
The center of the circle of curvature of a curve at a given point.
center of curvature
center of gravity
center of mass
center of pressure
A triangular constructed from three intersecting arcs of a circle.
obtuse triangle
acute triangle
isosceles triangle
circular triangle
A polyhedron with 20 faces.
dodecahedron
eikosihedron
icosahedron
tetrahedron
Which of the following statement is correct?
A force is an agent which produces or tends to produce motion.
A force is an agent which stops or tends to stop motion.
A force may balance a given number of forces acting on a body.
Both (a) and (b)
In order to determine the effects of a force acting on a body, we must know
Its magnitude and direction of the line along which it acts.
Its nature (whether push or pull).
Point through which it acts on the body.
AOTA
For a non-concurrent force system to be in equilibrium
only the closure of force polygon is sufficient
only the closure of funicular polygon is sufficient
both force polygon and funicular polygon must close
none of the above
A couple consists of
Two like parallel forces of same magnitude.
Two like parallel forces of different magnitudes.
Two unlike parallel forces of same magnitude.
Two unlike parallel forces of different magnitudes.
If a body is in equilibrium. We may conclude that
No force is acting on the body
The resultant of all the forces acting on it is zero.
The moments of the forces about any point are zero.
a) Both (b) and (c)
If the sum of all the forces acting on a body is zero, then the body may be in equilibrium provided the forces are
Concurrent
Parallel
Like Parallel
Unlike Parallel
1. The torque produced by a force depends on
1. the magnitude of the force
2. the direction of the force
3. the point of application of the force relative to origin The correct answer is
a) only (i)
a) both (i) and (ii)
a) both (i) and (iii)
a) all (i), (ii) and (iii)
The member forces in a statically indeterminate truss
can be obtained by graphic statics
cannot be obtained by graphic statics
may be obtained by graphic statics
can be obtained by graphic statics by trial and error
The shape of a suspended cable for a uniformly distributed load over it is
circular
parabolic
catenary
cubic parabola
Principle of superposition is applicable when
deflections are linear functions of applied forces
material obeys Hooke's law
the action of applied forces will be affected by small deformations of the structure
none of the above
While using three moments equation, a fixed end of a continuous beam is replaced by an additional span of
zero length
infinite length
zero moment of inertia
none of the above
When a series of wheel loads crosses a simply supported girder, the maximum bending moment under any given wheel load occurs when
the center of gravity of the load system is midway between the center of span and wheel load under consideration
the center of span is midway between the center of gravity of the load system and the wheel load under consideration
the wheel load under consideration is midway between the center of span and the center of gravity of the load system
none of the above
The fixed support in a real beam becomes in the conjugate beam a
roller support
hinged support
fixed support
free end
The deformation of a spring produced by a unit load is called
stiffness
flexibility
influence coefficient
unit strain
The viscosity of a gas
decreases with increase in temperature
increases with increase in temperature
is independent of temperature
is independent of pressure for very high pressure intensities
Newton's law of viscosity relates
intensity of pressure and rate of angular deformation
shear stress and rate of angular deformation
shear stress, viscosity and temperature
viscosity and rate of angular deformation
Centre of buoyancy always
coincides with the centre of gravity
coincides with the centroid of the volume of fluid displaced
remains above the centre of gravity
remains below the centre of gravity
Metacentric height for small values of angle of heel is the distance between the
centre of gravity and centre of buoyancy
centre of gravity and metacentre
centre of buoyancy and metacentre
free surface and centre of buoyancy
A floating body is said to be in a state of stable equilibrium
when its metacentric height is zero
when the metacentre is above the centre of gravity
when the metacentre is below the centre of gravity
only when its centre of gravity is below its centre of buoyancy
The increase in metacentric height
i) increases stability
ii) decreases stability
iii) increases comfort for passengers
iv) decreases comfort for passengers The correct answer is
(i) and (iii)
(i) and (iv)
(ii) and (iii)
(ii) and (iv)
The point in the immersed body through which the resultant pressure of the liquid may be taken to act is known as
center of gravity
center of buoyancy
center of pressure
metacenter
1. When a liquid rotates at a constant angular velocity about a vertical axis as a rigid body, the pressure intensity varies
linearly with radial distance
as the square of the radial distance
inversely as the square of the radial distance
inversely as the radial distance
A right circular cylinder open at the top is filled with liquid and rotated about its vertical axis at such a speed that half the liquid spills out, then the pressure intensity at the center of bottom is
zero
one-fourth its value when cylinder was full
one-half its value when cylinder was full
cannot be predicted from the given data
The horizontal component of force on a curved surface is equal to the
product of pressure intensity at its centroid and area
force on a vertical projection of the curved surface
weight of liquid vertically above the curved surface
force on the horizontal projection of the curved surface
One of the following scientists is associated with theory in soil Mechanics
Marcel Dekker
Karl Terzaghi
Finnemore
Oosthuizen
If the voids of a soil mass are full of air only, the soil is termed as
a) air entrained soil
a) partially saturated soil
a) dry soil
a) dehydrated soil
1. Select the correct statement.
a) Unit weight of dry soil is greater than unit weight of wet soil.
a) For dry soils, dry unit weight is less than total unit weight.
a) Unit weight of soil increases due to submergence in water.
a) Unit weight of soil decreases due to submergence in water.
1. Voids ratio of a soil mass can
a) never be greater than unity
a) be zero
a) take any value greater than zero
a) take values between 0 and 1 only
1. If the volume of voids is equal to the volume of solids in a soil mass, then the values of porosity and voids ratio respectively are
a) 1.0 and 0.0
a) 0.0 and 1.0
a) 0.5 and 1.0
a) 1.0 and 0.5
1. When the degree of saturation is zero, the soil mass under consideration represents
a) one phase system
a) two phase system with soil and air
a) two phase system with soil and water
a) three phase system
1. The ratio of volume of voids to the total volume of soil mass is called
a) air content
a) porosity
a) percentage air voids
a) voids ratio
Which of the following methods is most accurate for the determination of the water content of soil?
oven drying method
sand bath method
calcium carbide method
pycnometer method
A pycnometer is used to determine
water content and voids ratio
specific gravity and dry density
water content and specific gravity
voids ratio and dry density
Which of the following is a measure of particle size range?
effective size
uniformity coefficient
coefficient of curvature
none of the above
Uniformity coefficient of a soil is
always less than 1
always equal to 1
equal to or less than 1
equal to or greater than 1
Toughness index is defined as the ratio of
plasticity index to consistency index
plasticity index to flow index
liquidity index to flow index
consistency index to liquidity index
When the plastic limit of a soil is greater than the liquid limit, then the plasticity index is reported as
negative
zero
non-plastic
1
The water content of soil, which represents the boundary between plastic state and liquid state, is known as
liquid limit
plastic limit
shrinkage limit
plasticity index
At liquid limit, all soils possess
same shear strength of small magnitude
same shear strength of large magnitude
different shear strengths of small magnitude
different shear strengths of large magnitude
Which of the following soils has more plasticity index?
sand
silt
clay
gravel
The effective stress is
an abstract quantity
actual contact stress
equal to total stress
none
Effective stress is
the stress at particles contact
a physical parameter that can be measured
important because it is a function of engineering properties of soil
all of the above
If the water table rises up to ground surface, then the
effective stress is reduced due to decrease in total stress only but pore water pressure does not change
effective stress is reduced due to increase in pore water pressure only but total stress does not change
total stress is reduced due to increase in pore water pressure only but effective stress does not change
total stress is increased due to de-crease in pore water pressure but effective stress does not change
Coefficient of permeability of soil
does not depend upon temperature
increases with the increase in temperature
increases with the decrease in temperature
NOTA
The average coefficient of permeability of natural deposits
parallel to stratification is always greater than that perpendicular to stratification
parallel to stratification is always less than that perpendicular to stratification
is always same in both directions
parallel to stratification may or may not be greater than that perpendicular to stratification
Terzaghi’s bearing capacity factor depends on
cohesion of soil
permeability of soil
Ø of soil
all above
Based on NSCP 302.3.2. The ground
surface shall be prepared to receive fill
by removing vegetation, non -complying
fill, topsoil and other unsuitable
materials, and by scarifying to provide a
bond with the new fill. Where the natural
slopes are stepper than _____ and the
height is greater than 1.5m, the ground surface shall be prepared by benching
into sound bedrock or competent material
as determined by geotechnical engineer.
10%
33%
20%
50%
What are the four types of pavement and curb markings?
Longitudinal, transverse, transition and stop lines
Longitudinal, transverse, other line and other markings
Longitudinal, transverse, stop line and center line
Longitudinal, transverse, center line and lane lines
Messages when painted on pavement should be limited to how many words only
3 words or less
4 words or less
5 words or less
6 words or less
Archimedes principle states that any body immersed in a fluid is acted upon by an upward force (buoyant force) equal to the weight of the fluid displaced. This principle is also known as:
Law of Buoyancy
Law of Fluid Displacement
Law of Hydrostatics
Law of Immersion
The following are properties of ideal fluids except:
No friction between moving layers of fluid
Uniform velocity
No viscosity
Compressible
Dams are built for the following purposes except
Irrigation and drinking water
Power supply
Navigation
None of the above
This occurs when the discharge Q passing a given cross-section is constant with time.
Uniform Flow
Continuous Flow
Steady Flow
Laminar Flow
This occurs if the average velocity of the flow is the same at every cross section.
Uniform Flow
Continuous Flow
Steady Flow
Laminar Flow
Term used to describe the degree of firmness of a soil
Viscosity
Uniformity
Consistency
Swelling
The state between shrinkage limit and plastic limit is called
Plastic state
Semisolid state
Liquid state
solid state
The sand used in sand-cone method in determining the density of in-situ soil must pass through this sieve no
4
10
200
nota
If the Plasticity Index of the soil is zero, the soil is
liquid
plastic
non-plastic
elastic
USCS stands for:
Uniform Soil Classification Standard
Unified Soil Classification Standard
Uniform Soil Classification System
Unified Soil Classification System
The shear or distortional stress or stress difference on a body
A. Yield Stress
B. Fluid Stress
C. Breaking Stress
D. Deviatoric stress
This parameter is the diameter in the particle-size distribution curve corresponding to 10% finer. A. Medium Size
Effective Size
Sorting Size
Average Size
Medium Size
Which of the following best describes a Loam Soil?
Sand, Silt, Clay
Sand, Silt, Gravel
Silty Clay with a little sand
Sandy Clay with a little silt
When Block of ice floating on water in a container melts, what will happen to the level of water in the container?
. It will drop
It will rise
It will stay the same
Drops momentarily the rise
The shear strength of a soil at liquid limit is
Zero
Very small
high
Hard to determine
The mechanical energy per unit weight
Gradient
Head
Kinetic distance
Carnot length
If the temperature rises, the permeability
Remains constant
increases
Loses completely
decreases
In this kind of flow, viscous effect do not significantly influence the flow are thus neglected
Viscous flow
. Stream flow
steady flow
Inviscid flow
This is the phenomenon when the sand losses its shear strength due to oscillatory motion in saturated condition
Liquefaction
Piping
Quick Sand Condition
All of the above
