Gate Mock Test Civil Engineering (CE)- 5 - Civil Engineering (CE)

Directions: Fill in the blank with the most suitable option.

He is such a miser that he can never part ___________ his money.

There are Six friends Arya, Janvi, Pratik, Tirtha, Saloni and Divya, with distinct heights, compare their heights and make the following observations.

Observation I: Pratik is taller than Tirtha.

Observation II: Janvi is the shortest of all.

Observation III: Divya is taller than only one person.

Observation IV: Saloni is taller than Pratik but she is not the tallest

The number of persons that are taller than Tirtha is the same as the number of persons shorter than_________

In a certain code, BUILDER is written as JVCKSFE. How is SEALING written in that code?

Nikhil aspires to buy a bike worth Rs. 200000 after 7 years. what is the minimum amount in Rupees that he should deposit now in a bank which offers 5.5% annual rate of interest, if the interest was compounded annually ?

Directions: Study the given graph carefully and answer the following question.

The graph below shows the numbers of students appearing for and qualifying in a scholarship exam from various schools:

Q. What is the difference between the average number of students appearing and qualifying in the exam from all the given schools?

Statements:

1. All boys are genius.

2. All girls are boys.

Conclusions:

I. All girls are genius.

II. Some boys are girls

Based on the above statements and conclusions, which one of the following options is logically CORRECT?

In the sequence of the terms AD CG FK JP, the next term is

Zero hardness of water is achieved by

The value of is

There is a free overfall at the end of a long open channel. For a given flow rate, the critical depth is less than the normal depth. What gradually varied flow profile will occur in the channel for this flow rate?

The solution at x = 1, t = 1 of the partial differential equation subject to initial conditions of u(0) = 3x and = 3 is ____________.

Match the following:

The slenderness ratio of a column is zero when its length is

For a saturated sand deposit, the void ratio and the specific gravity of solids are 0.70 and 2.67, respectively. The critical (upward) hydraulic gradient for the deposit would be

For concreting of shallow sections with vibrations, the workability should be ______.

To provide safety against piping failure, with a factor of safety of 5, what should be the maximum permissible exit gradient for soil with a specific gravity of 2.5 and porosity of 0.35?

The solution of the equation xdy/dx+ y = 0 passing through the point (1, 1) is

A stable channel is to be designed for a discharge of Q m³/s with silt factor f as per Lacey's method. The mean flow velocity (m/s) in the channel is obtained by

In the formula a + bk used in the calculation of the net effective section of single angles in tension connected by one leg only, the value of k is

From among the following sewage treatment options, largest land requirements for a given discharge will be needed for

Neglecting gravitational effects, for steady, fully developed flow inside a straight pipe of diameter 2.24 m, the pressure drop is 80 kPa. If the wall shear stress τ_w is 250 N/m², then the length of the pipe will be _____________ m.

The presence of hardness in excess of permissible limit causes

The queue length (in number of vehicles) versus time (in seconds) plot for an approach to a signalized intersection with the cycle length of 96 seconds is shown in the figure (not drawn to scale).

At time t = 0, the light has just turned red. The effective green time is 36 seconds, during which vehicles discharge at the saturation flow rate, s (in vph). Vehicles arrive at a uniform rate, v (in vph), throughout the cycle. Which one of the following statements is TRUE?

The shape of the cross section which has the largest shape factor is

If the sleeper density for a B.G. track is n + 5 and the length of one rail is 12.8 m, then number of sleepers required per km length of the track is (Answer up to the nearest integer)

If xSin (a + y) = Sin y, then dy/dx is equal to

The extra widening required in a 6 lane carriage when the length of the vehicle is 10 m, radius of curve is 450 m and speed is 72 kmph is ________ m. (Answer up to three decimal places)

For f(z) = the residue of the pole at z = 0 is ___________.(Answer up to the nearest integer)

The figure shows the geometry of a strip footing supporting the load bearing walls of a three-storeyed building and the properties of clay layer.

If the pressure acting on the footing is 40 kPa, the consolidation settlement of the footing will be (Answer up to the nearest integer)

In the limit state design method of concrete structures, the recommended partial material safety factor for steel according to IS:456-2000 is

(Answer up to two decimal places)

A lift of weight 500 kg is moving upwards with a uniform acceleration of 2 m/s². The tension in the cable supporting the lift is _________ kgf. (Answer up to the nearest integer)

The undrained cohesion of a remoulded clay soil is 10 kN/m². If the sensitivity of the clay is 20, then the corresponding remoulded compressive strength (in kN/m²) is (Answer up to the nearest integer)

Which one of the following matrices is singular?

For the matrix , one of the eigen values is - 2. Which of the following is an eigen vector?

The rank of the following matrix is

A three-phase traffic signal at an intersection is designed for flows shown in the figure below. There are six groups of flows identified by the numbers 1 to 6. Among these 1, 3, 4 and 6 are through flows, and 2 and 5 are right turning. Which phasing scheme is not feasible?

The solution of dy/dx – y tan x – y² sec x = 0 is given by

While applying the Rational formula for computing the design discharge, the rainfall duration is stipulated as the time of concentration because

If q is the average sewage flow from a city of population P, the expression for maximum flow of sewage is ________. Here, q is the average sewage flow and P is the population.

Match the following groups:

Find the deflection midway between the supports for the overhanging beam shown in the figure below.

The value of the integral ex + y dydx is

The number of tracks required per km length of the track is 1500. The sleeper density for B.G. track is ____________. (Answer up to the nearest integer)

A wide channel is 1 m deep and has a velocity of flow V as 2.13 m/s. If a disturbance is caused, an elementary wave can travel upstream with a velocity (in m/s) of

(Answer up to two decimal places)

The sag correction in a tape of length 20 m and weight 15 kg/m suspended at its ends is ________ m. Take a pull equal to 45 kg. (Answer up to two decimal places)

A beam PQRS is 18 m long and is simply supported points Q and R at 10 m apart. Overhangs PQ and RS are 3 m and 5 m, respectively. A train of two point loads of 150 kN and 100 kN, 5 m apart, crosses this beam from left to right with 100 kN load leading.

The maximum sagging moment (in kNm) under the 150 kN load anywhere is (Answer up to the nearest integer)

A cantilever beam of 1.5 m carries a uniformly distributed load of 24 kN/m over its full length and a force of 36 kN acts in upward direction at its free end. The magnitude of net deflection of the free end is X/El m. The value of X is __________. (Answer up to two decimal places)

The plan area of a reservoir is 1 km². The water level in the reservoir is observed to decline by 20 cm in a certain period. During this period, the reservoir receives a surface inflow of 10 hectare-meters, and 20 hectare-meters are abstracted from the reservoir for irrigation and power. The pan evaporation and rainfall recorded during the same period at a near by meteorological station are 12 cm and 3 cm respectively. The calibrated pan factor is 0.7. The seepage from the reservoir during this period in hectare-meters is

(Answer up to one decimal place)

For a vertical cut 5 m deep in soil, find the maximum depth(in m) of excavation left unsupported when ∅’ = 17.2^o, C' = 1.91 t/m² and γ = 1.74 t/m². (Answer up to two decimal places

If 50 g of CO₂ and 25 g of CH₄ are produced from the decomposition of municipal solid waste (MSW) with a formula weight of 120 g, then what is the average per capita greenhouse gas production (in g/day) in a city of 1 million people with a MSW production rate of 500 ton/day? (Answer up to the nearest integer)

Moment of inertia of quarter circle of radius 10 cm about the X–axis is ________________ cm⁴. (Answer up to the nearest integer)

The following data pertains to the number of commercial vehicles per day for the design of a flexible pavement for a national highway as per IRC: 37-1984.

Assuming a traffic growth factor of 7.5% per annum for both the types of vehicles, the cumulative number of standard axle load repetitions (in million) for a design life of ten years is (Answer up to one decimal place)

A couple of 25 kN/m is acting at one end of a simply supported beam. The maximum slope occuring on the beam is _______________ × 10^-5 radian. Take E = 250 GPa and I = 10,00,000 mm⁴. (Answer up to one decimal place)

The culturable command area for a distributary channel is 20,000 hectares. Wheat grown in the entire area and the intensity of irrigation is 50%. The kor period for wheat is 30 days and the kor water depth is 120 mm. The outlet discharge (in m³/sec) for the distributary should be

(Answer up to two decimal places)

A solid cone is rotating at an angular velocity of 60 rad/s. An oil of dynamic viscosity 0.45 Pa.s and thickness 25 mm fills the gap between the cone and the housing. The required torque to be applied is _____________ Nm. Take radius equal to 0.5 m and vortex angle equal to 136° for the solid cone. (Answer up to one decimal place)

The design speed on a road is 60 kmph. Assuming the driver reaction time of 2.5 seconds and the coefficient of friction of pavement surface as 0.35, the required stopping distance (in m) for two-way traffic on a single lane road is (Answer up to one decimal place)

For an I-beam, flange size is 300 x 30 mm and web size is 800 x 16 mm. If the beam is subjected to a bending moment of 65 x 10⁵ kg-cm and a shear force of 60,000 kg, the magnitude of shear stress at a point 25 cm above the neutral axis is ____________ kg/cm². (Answer up to two decimal places)

A reinforced concrete beam, size 200 mm wide and 300 mm deep overall is simply supported over a span of 3 m. It is subjected to two point loads P of equal magnitude placed at middle third points. The two loads are gradually increased, simultaneously. Beam is reinforced with 2 HYSD bars of 16 mm diameter placed at an effective cover of 40 mm bottom face and nominal shear reinforcement. The characteristics compressive strength and the bending tensile strength of the concrete are 20.0 N/mm² and 2.2 N/mm², respectively.

The theoretical failure load (in kN) of the beam for attainment of limit state of collapse in flexure is (Answer up to one decimal place)

A beam is shown in the figure below. When the shear force is - 1.65 kN in the beam, the value of the bending moment at that point is _________ kN/m. (Answer up to three decimal places)

An average rainfall of 16 cm occurs over a catchment during a period of 12 hours with uniform intensity. The unit hydrograph (unit depth = 1 cm, duration = 6 hours) of the catchment rises linearly from 0 to 30 cumecs in six hours and then falls linearly from 30 to 0 cumecs in the next 12 hours.Φ index of the catchment is known to be 0.5 cm/hr. Base flow in the river is known to be 5 cumecs.

Area of the catchment in hectares is (Answer up to the nearest integer)

At a point in a loaded member, a state of plane stress exists and the strains are ε_x = 270 x 10^-6, ε_y = -90 x 10^-6 and ε_xy = 360 x 10^-6. If E = 200 GPa, μ = 0.25 and G = 80 GPa, then the value of normal stress (major) (in MPa) is (Answer up to one decimal place)

A benchmark has been established at the soffit of an ornamental arch at the known elevation of 100.0 m above the sea level. The back sight used to establish height of instrument is an inverted staff reading of 2.105 m. A forward sight reading with a normally held staff of 1.105 m is taken on a recently constructed plinth. The elevation of the plinth (in m) is (Answer up to two decimal places)