Practice Test: Gate Civil Engineering(CE) 2014 Paper - GATE MCQ

If y = 5x² + 3, then the tangent at x = 0, y = 3

A foundry has a fixed daily cost of Rs 50,000 whenever it operates and a variable cost of Rs 800Q, where Q is the daily production in tonnes. What is the cost of production in Rs per tonne for a daily production of 100 tonnes?

Q. 6 – Q. 10 carry two marks each.

Find the odd one in the following group: ALRVX, EPVZB, ITZDF, OYEIK

Anuj, Bhola, Chandan, Dilip, Eswar and Faisal live on different floors in a six-storeyed building (the ground floor is numbered 1, the floor above it 2, and so on). Anuj lives on an even-numbered floor. Bhola does not live on an odd numbered floor. Chandan does not live on any of the floors below Faisal’s floor. Dilip does not live on floor number 2. Eswar does not live on a floor immediately above or immediately below Bhola. Faisal lives three floors above Dilip. Which of the following floor-person combinations is correct?

The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. The ratio between the angles of the quadrilateral is 3:4:5:6. The largest angle of the triangle is twice its smallest angle. What is the sum, in degrees, of the second largest angle of the triangle and the largest angle of the quadrilateral?

One percent of the people of country X are taller than 6 ft. Two percent of the people of country Y are taller than 6 ft. There are thrice as many people in country X as in country Y. Taking both countries together, what is the percentage of people taller than 6 ft?

The monthly rainfall chart based on 50 years of rainfall in Agra is shown in the following figure. Which of the following are true? (k percentile is the value such that k percent of the data fall below that value)

(i) On average, it rains more in July than in December
(ii) Every year, the amount of rainfall in August is more than that in January
(iii) July rainfall can be estimated with better confidence than February rainfall
(iv) In August, there is at least 500 mm of rainfall

Q. 11 – Q. 35 carry one mark each.

 equals to

Given the matrices  the product K^T JK is ___________

The probability density function of evaporation E on any day during a year in a watershed is given by

The sum of Eigen values of the matrix, [M] is

With reference to the conventional Cartesian (x, y) coordinate system, the vertices of a triangle have the following coordinates: (x₁, y₁) = (1, 0); (x₂, y₂) = (2, 2); and (x₃, y₃) = (4, 3). The area of the triangle is equal to

Match the information given in Group – I with those in Group - II.

Group – I                                                                             Group – II
P Factor to decrease ultimate strength to                          1 Upper bound on ultimate load
design strength
                                                                             
Q Factor to increase working load to                                  2 Lower bound on ultimate load   
ultimate load for design

R Statical method of ultimate load                                     3 Material partial safety factor
analysis

S Kinematical mechanism method of                                 4 Load factor   
ultimate load analysis

The possible location of shear centre of the channel section, shown below, is

The ultimate collapse load (P) in terms of plastic moment Mp by kinematic approach for a propped cantilever of length L with P acting at its mid-span as shown in the figure, would be

While designing, for a steel column of Fe250 grade, a base plate resting on a concrete pedestal of M20 grade, the bearing strength of concrete (in N/mm²) in limit state method of design as per IS:456-2000 is ________________

A steel section is subjected to a combination of shear and bending actions. The applied shear force is V and the shear capacity of the section is V_s. For such a section, high shear force (as per IS:800- 2007) is defined as

The degree of static indeterminacy of a rigid jointed frame PQR supported as shown in the figure is

In a beam of length L, four possible influence line diagrams for shear force at a section located at a distance of L/4 from the left end support (marked as P, Q, R and S) are shown below. The correct influence line diagram is

The degree of disturbance of the sample collected by the sampler is expressed by a term called the "area ratio". If the outer diameter and inner diameter of the sampler are D_o and D_i respectively, the area ratio is given by

For a saturated cohesive soil, a triaxial test yields the angle of internal friction (φ) as zero. The conducted test is

The action of negative skin friction on the pile is to

A long slope is formed in a soil with shear strength parameters: c' = 0 and φ' = 34°. A firm stratum lies below the slope and it is assumed that the water table may occasionally rise to the surface, with seepage taking place parallel to the slope. Use γ_sat = 18 kN/m3 and γ_w = 10 kN/m³. The maximum slope angle (in degrees) to ensure a factor of safety of 1.5, assuming a potential failure surface parallel to the slope, would be

An incompressible homogeneous fluid is flowing steadily in a variable diameter pipe having the large and small diameters as 15 cm and 5 cm, respectively. If the velocity at a section at the 15 cm diameter portion of the pipe is 2.5 m/s, the velocity of the fluid (in m/s) at a section falling in 5 cm portion of the pipe is ___________

A conventional flow duration curve is a plot between

In reservoirs with an uncontrolled spillway, the peak of the plotted outflow hydrograph

The dimension for kinematic viscosity is