Practice Test: Gate Civil Engineering(CE) 2013 Paper - GATE

Friendship, no matter how _________it is, has its limitations.

The pair that best express a relationship similar to that expression in the pair:

Medicine: Health

Q. 6 to Q. 10 carry two marks each.

A reduction of 5% in price of sugar enables a housewife to buy 3 kg more for Rs.280. Find the reduced price

x and y are two positive real numbers, such that equation 2x + y ≤ 6; x + 2y ≤ 8 For which values of (x, y), the function f (x, y) = 3x + 6y will give maximum value

A firm is selling it product at Rs. 60/unit. The total cost of production is Rs. 100 and firm is earning total profit of Rs. 500. Later, the total cost increased by 30%. By what percentage the price should be increased to maintain the same profit level

Abhishek is elder to Savan, Savan is younger to Anshul. The correct relations is

Which one of the following increased by same percentage in year 2010-2011?

Q. No. 11 – 35 Carry One Mark Each

A pin-jointed 2-D truss is loaded with a horizontal force of 15 kN at joint S and another 15 kN vertical force at joint U as shown in figure. Find the force in member RS (in kN) and report your answer taking tension as +ve and compression as –ve

The latitude and departure of a line AB are +78m and −45.1m respectively. The whole circle bearing of the line AB is

For two major-roads with divided carriage way crossing at right angle, a full clover leaf interchange with four indirect ramps is provided. Following statements are made on turning movement of vehicles to all direction from both roads. Identity the correct statement

For subcritical flow in an open channel, the control section for gradually varied flow profile is

Creep strain is

A water treatment plant, having discharge 1m³ / sec, has 14 filters to treat the water. Each filter is having 50m² area, but due to backwashing activity, 2 filters are non operational. Calculate hydraulic loading rate in

In its natural condition a soil sample has a mass of 1.980 kg and a volume of 0.001m³ . After being completely dried in an oven, the mass of the sample is 1.800 kg. Specific gravity is 2.7. Unit weight of water is 10kN /m³ . The degree of saturation of soil is

Group-I contains dimensionless parameter and Group-II contains ratio

Correct match of the dimensionless parameter in Group-I with Group-II is

For a 2-D flow field, the stream function ψ is given as 

The magnitude of discharge occurring between the stream line passing through points (0, 3) and (3, 4) is

Select the strength parameter of concrete used in design of plain jointed cement pavement from the following choices:

Four columns of building are to be located within a plot size of 10m×10m. The expected load on each column is 400 kN. Allowable bearing capacity of soil deposit is 100kN /m² . The type of foundation to be used is

Following statement are made on compacted soil, where DS stands for soil compaction on Dry Side of OMC and WS stands for soil compacted on Wet Side of OMC. Identify incorrect statement

It was observed that 150 vehicle crossed a particular location of highway in 30 minutes. Assume that vehicle arrival follow a negative exponential distribution. The number of time headways greater than 5 seconds in above observation is

As per IS 800: 2007 the cross-section in which extreme fibre can reach the yield stress but cannot develop the plastic moment of resistance due to local buckling is classified as

The “Plane section remain plane” assumption in bending theory implies

The ratio N_f / N_d is known as shape-factor where N_f is the number of flow channels and N_d is the equipotential drop. The flownet always drawn with a constant b/ a ratio where b and a are distance between two consecutive flow lines and equipotential lines respectively. Assuming that b/a ratio remains same, the shape factor of a flow net will change if the

Match the given water properties in Group-I to the given titrants shown in Group-II

Two steel column P (length L and yield strength y_f = 250MPa) and Q (length 2L and yield strength y_f = 500MPa ) have the same cross-section and end condition. The ratio of buckling load of column P to that of column Q is

As per IS 456 : 2000, bond strength of concrete = 1.2 for M20 . It is increased by 60% for HYSD bar. The development length d L in terms of is ( σ_st  = 360 MPa)

A 1 hour rainfall of 10 cm has return period of 50 year. The probability that 1 hour of rainfall 10 cm or more will occur in each of two successive years is

A symmetric I-section (with width of each flange = 50 mm, thickness of web = 10 mm) of steel is subjected to a shear force of 100 kN. Find the magnitude of the shear stress (in N/mm²) in the web at its junction with the top flange

Maximum possible value of compaction factor for fresh (green) concrete is

In a setting chamber, what is the minimum dimension of particle which can be completely removed, if rate of overflow is 30m³ / d /m² . Take G = 2.65; 

An isohyet is a line joining points of

If |4x − 7| = 5 then the value of 2 |x| − |−x| is

Q. No. 36 – 65 Carry Two Marks Each

A rectangular concrete beam 250 mm wide and 600 mm deep is prestressed by means of 16 wire of high tensile steel wires, each of 7 mm diameter located at 200 mm from the bottom face of the beam at a given section. If the effective pre-stress in the wires is 700 MPa, what is the maximum sagging B.M (in kN-m)
due to live load which this section of the beam can with stand without causing tensile stresses at the bottom face of the beam. Neglect the self weight of the beam

In compacted cylindrical bituminous mix,

The magnitude of VFB (void filled bituminous) is

A hydraulic turbine has a discharge of 5 m3/s, when operating under a head of 20 m with a speed of 500 rpm. If it is to operate under a head of 15 m, for the same discharge, the rotational speed in rpm will approximately be

A. 433 
B. 403 
C. 627 
D. 388

The normal depth in a wide rectangular channel is increased by 10%. The percentage increase in discharge in the channel is

Elevation and temperature data for places are tabulated below

Based on this data, lapse rate can be referred as

2D stress at a point is given by a matrix,  The maximum shear stress in MPa is

Find the value of l such that function f(x) is valid probability density function 

The value of 

Laplace equation for water flow in soil is given by Head H does not vary in y and z-direction. Boundary condition  What is the value of H at x = 1.2?

A student began an experiment of 5 day  20°C BOD on Monday. Since the 5th day fell on Saturday, the final DO reading was taken on Monday. On calculation BOD (i.e. 7 day 20° C) was found to be 150 mg/L. What would be the 5 day, 20°C BOD (in mg/L)? Assume value of BOD rate constant (K) at standard temperature of  20°C as 0.23/day (base e).

A 2 km pipe of 0.2 m diameter connects two reservoirs. The difference between the water levels in the reservoir is 8 m. The Darcy Weisbach friction factor of the pipe is 0.04. Accounting for frictional entry and exit losses, the velocity in the pipe in (m/sec) is

Bearing of the given system is shown below:

Applying correction due to local attraction, the correct bearing of line BC will be

Two soil profile are used as backfill behind a retaining wall as shown in the figure, where γ_t g is total unit weight and c’ & ' ‘ are effective shear parameters. Find the resultant active earth pressure in kN/m

The soil profile above the rock surface at 25° infinite slope is shown in figure where S_u is undrain shear stress and γ_t is total unit weight. The slip will occur at a depth of

A Theodolite is placed at A and a 3 m long vertical staff is held at B. The depression angle made at reading of 2.5m marking on staff is o 6 10'.The horizontal distance between A and B is 2200 m. The height of instrument at A is 1.2 m and reduced level of point A is 880.88 m. Using curvature correction and refraction correction determine the R.L. of point B (in m).

A settling tank is designed for a surface overflow rate of . Assuming 
specific gravity of sediment particles = 2.65, Density of water, r_w = 1000 kg /m³ , dynamic viscosity of water m_water = 0.001 Ns /m and stokes law is valid. The approximate minimum size of particles which can be completely removed is

A uniform beam weighing 1800 N is supported at E & F by cable ABCD. Determine the tension force in segment AB at this cable (correct to 1 decimal place). Assume the cable ABCD, BE and CF are weightless

A uniform beam (EI = constant) PQ in the form of a quarter circle of radius R is fixed at end P and free at the end Q, where a load W is applied as shown. The vertical downward displacement δ_Q at the loaded point Q is given by  Find the value of b correct to 4-decimal place

The transplantation of rice requires 10 days and total depth of water required during transplantation is 48 cm. During transplantation there is an effective rainfall (useful for irrigation) of 8 cm. The duty of irrigation water in hectare/ cumecs is

All members in the rigid-jointed frame shown are prismatic and have the same flexural stiffness EI. Find the magnitude of the B.M. at Q (in kN-m) due to given loading

There are three matrixes   The minimum of multiplication required to compute the matrix PQR is

Beam subjected to moving distributed load of 4 kN/m maximum shear force that can occur just to right of Q is

Common Data Questions: 58 & 59
For a portion of highway descending gradient 1 in 25 meets an ascending gradient 1 in 20. A valley curve needs to be designed at a velocity of 90 kmph based on
(i) Head light sight distance equal to stopping sight distance of a level terrain. Consider length of curve > SSD
(ii) Comfort condition if rate of change of acceleration is 0.5 m / s³
Reaction time = 2.5 sec, coefficient of longitudinal friction μ = 0.35. Height of head light = 0.75 m, and beam angle= 1°

What is the length of valley curve as per headlight sight distance?

For a portion of highway descending gradient 1 in 25 meets an ascending gradient 1 in 20. A valley curve needs to be designed at a velocity of 90 kmph based on
(i) Head light sight distance equal to stopping sight distance of a level terrain. Consider length of curve > SSD
(ii) Comfort condition if rate of change of acceleration is 0.5 m / s³
Reaction time = 2.5 sec, coefficient of longitudinal friction μ = 0.35. Height of head light = 0.75 m, and beam angle= 1°

What is the length of valley curve (in m)based on the comfort condition? __________

Common Data Questions: 50 & 51
Storm-I of duration 5 hours gives a direct run-off of 4 cm and has an average intensity of 2cm / hr
Storm-II of 8 hour duration gives a run-off of 8.4 cm.
(Assume -index is same for both the storms.)

The value of − index is

Storm-I of duration 5 hours gives a direct run-off of 4 cm and has an average intensity of 2cm / hr
Storm-II of 8 hour duration gives a run-off of 8.4 cm.
(Assume -index is same for both the storms.)

Intensity of storm-II in cm/hr is

Linked Answer Questions: Q.62 to Q.65 Carry Two Marks Each

Statement for Linked Answer Questions: 62 & 63

The magnitude of load P is increased till collapse and the plastic moment carrying capacity of steel beam section is 90 kNm 

What is the value of R (in kN) if value of P is 80 kN by elastic theory?

The magnitude of load P is increased till collapse and the plastic moment carrying capacity of steel beam section is 90 kNm 

The value of R (in kN), using plastic analysis is (upto 1 decimal place).

Statement for Linked Answer Questions: 64 & 65

A multistorey building with a basement is to be constructed. The top 4 m contains loose silt below which dense sand layer is present upto a great depth. Ground water table is at the ground surface. The foundation consists of the basement slab of 6 m width which will rest on the top of dense sand as shown in figure. For dense sand saturated unit weight is 20kN /m³ and bearing capacity factor, N_q =40, N_λ= 45, g for loose silt saturated unit
weight =18kN /m³ , N_q=15, N_λ =20 g . Effective cohesion is 0. Neglect depth factor average elastic modulus E, and Poisson ratio μ of dense sand is 60 ×10³ kN /m² and 0.3 respectively, using factor of safety = 3. (Take influence factor = 2)

The net safe bearing capacity (in kN /m³) of foundation is

A multistorey building with a basement is to be constructed. The top 4 m contains loose silt below which dense sand layer is present upto a great depth. Ground water table is at the ground surface. The foundation consists of the basement slab of 6 m width which will rest on the top of dense sand as shown in figure. For dense sand saturated unit weight is 20kN /m³ and bearing capacity factor, N_q =40, N_λ= 45, g for loose silt saturated unit
weight =18kN /m³ , N_q=15, N_λ =20 g . Effective cohesion is 0. Neglect depth factor average elastic modulus E, and Poisson ratio μ of dense sand is 60 ×10³ kN /m² and 0.3 respectively, using factor of safety = 3. (Take influence factor = 2)

The immediate settlement of foundation is