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GATE CE 2018: Rapid Revision Mock 1

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Question 1

In the complex plane, the angle between line (1 + i) and (-1 + i) is ____degrees.
(where, ()

Question 2

The difference between local maximum and local minimum value is

Question 3

Match List I with List-II and select the correct answer.

Question 4

The width of elementary gravity dam whose height is 100m. Specific gravity of dam material is 2.2 and seepage coefficient at the base, C=0.8.

Question 5

A 60 mm-diameter water jet strikes a plate containing a hole of 40 mm diameter as shown in the figure. Part of the jet passes through the hole horizontally, and the remaining is deflected vertically. The density of water is 1000 kg/m3. If velocities are as indicated in the figure, the magnitude of horizontal force (in N) required to hold the plate is ______

Question 6

A flow is described by velocity where a = 0.2 s-1 and b = 0.4 ms-2. The coordinates of the particle will be (x1, y1) at t = 2s that passed through point (1, 2) at t = 0. Then find  x1 + y1.

Question 7

The ratio of elongation of a conical and rectangular bar of same length under its own weight is __________.

Question 8

Variation of shear force in a cantilever carrying a load the intensity of which varies uniformly from zero at the free end to w per unit run at the fixed end is by

Question 9

For a construction project. The mean and standard deviation of the completion time are 200 days and 6.1 days, respectively. Assume normal distribution and use the value of standard normal deviate Z = 1.64 for the 95% confidence level. The maximum time required (in days) for the completion of the project would be _______

Question 10

Match List-I with List-IIand select the correct answer using the codes given below the lists:
List-I
A) Control charts for variables
B) Control chart for number of non-conformities
C) Control chart for fraction rejected
D) Activity time distribution in PERT
List-II
1) Binomial distribution
2) Beta distribution
3) Normal distribution
4) Poisson distribution
5) Exponential distribution

Question 11

A beam AB is supported on an elastic column BC and is loaded as shown in figure. Joint B is rigid.

The rotation of the joint B is

Question 12

The flexibility matrix of a beam element is given as Then the stiffness matrix is

Question 13

What is the net downward load to be considered for analysis of the prestressed concrete beam provided with a linear cable is shown in fig. bellow

Question 14

The punching shear stress (in/mm2) of a square spread footing to carry a column load of 1400 kN from a 400 mm square tied column containing 20 mm bars as the longitudinal steel is
[Take bearing capacity of the soil as 100 kN/m2. Assume effective depth of footing 600 mm. Use M25 grade of concrete and Fe415 grade of steel and load factor = 1.5]

Question 15

If the intensity of sound source is decreased 16 times to its earlier intensity, then the intensity level of source will be decreased by _____ dB.

Question 16

For a central congested city whose population is 1.5 lakh, the fire demand as per National Board of Underwriters will be ____MLD.

Question 17

An instrument was setup at P and angle of elevation to a vane 4 m above the foot of staff held at Q was 9 ° 30'. The horizontal distance between P and Q was known to be 2000 m. What is the R.L. (in m) of staff station Q?
[Given that the R.L. of instrument axis was 2650.38 m and consider refraction and curvature corrections]

Question 18

In a badly maintained field book, following observations were found
Bearing of line AB with true north = 123 °
Acute angle ABC = 82 °
When extended line BC is rotated by an angle of 30 ° (clockwise), it meets the line CD.
If the bearing of line DC with true North is more than 180 °, then its bearing value (in degrees) is

Question 19

Consider the following compaction curves of a soil mass and their relates codes

Which are the points in the above curves where the structure has usually dispersed structure?

Question 20

In a experiment for the determination of the shrinkage limit the following observation were taken.
Volume of saturated soil = 9.75ml
Mass of saturated soil=16.5gm
Volume of dry soil after shrinkage =5.4ml
Mass of dry soil after shrinkage = 10.9gm
Then shrinkage limit of the sample was.

Question 21

A lead ball with certain velocity is made to strike a wall, it falls down; but a rubber ball of the same mass and with same velocity strikes the same wall, it rebounds. Select the reason from the following:

Question 22

A block of mass m is placed on a surface with a vertical cross-section given by If coefficient of friction is 0.5, the maximum height above the ground at which block can be placed without slipping is
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Oct 5ESE & GATE CE