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GATE 2020: Toppers Mini Mock Quiz 3 (App update required to attempt this test)

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Question 1

Select the word which means the same as the group of words given.

The height of an object or point in relation to sea level or ground level

Question 2

Select the most appropriate idiom (in the context) to fill in the sentence.

Now that Mr. Krishna Murthy has retired from the company, his daughter is _____.

Question 3

Given below are 5 statements out of which 3 are logically related to each other. Out of the options having a set of 3 statements each, identify the set where the statements are most closely related to each other.
i. All flowers are fragnant.
ii. All flowers are majestic.
iii. All flowers are plants.
iv. All flowers need air.
v. All plants need air.

Question 4

Raja bought 2 pens, 3 copies and 6 erasers for Rs.116 whereas his friend Anna bought 8 pens, 12 copies and 22 erasers for Rs.440. If they were to buy 8 pens, 12 copies and a single eraser, how much money (in Rs.) will they have to spend?

Question 5

Assume that equal number of people are born each day of the year. If the century under consideration is the 20th century, what is the percentage of people who are born on 29th February?
[Assume no deaths occur during the period under consideration].

Question 6

The volume of solid generated by revolving the area bounded by the curve and about -axis is

Question 7

Which of the following matrices is not invertible?

Question 8

The staff reading observed by the Height of Collimation method on a 4m level staff held 2.8cm away from the plumb line is 1. 567m.Determine the true staff reading observed.

Question 9

A flood hydrograph of river draining a catchment of 189 km2 due to a 6hour isolated storm is in the form of a triangle with base hour of 65 hour and a peak ordinate of 30m3/s occurring at 10 hours from start. Assume zero base flow. Then effective rainfall is _________cm. (Up to 2 decimal places)

Question 10

A stream function is given by  ψ = 4xy + (x+1) y2 . The flow rate in units across a line joining points (2,3) and (5,2) is

Question 11

The magnitude of load P is increased till collapse and the plastic moment carrying capacity of steel beam section is 120 kNm. The value of R using plastic analysis is ______ kN.
Description: E:\Gate\Gate-CE-Civil\10_Steel-Structure_BLok_files\image074.png

Question 12

The strain energy stored in the member ‘AB’ is (axial rigidity of each member is AE).

Question 13

The relation stability of a sewage sample, whose D.O equals the total oxygen required to satisfy its BOD, is

Question 14

A vertical wall 10 m high above the water table, retains a 20 soil slope, the retained soil having water content 25% , specific gravity of soil solids 2.67 and void ratio 0.55, coefficient of lateral passive earth pressure is 3. Lateral passive thrust on the wall is _______ kN/m

(Take Unit weight of water 10 )

Question 15

The reduction coefficient of a reinforced concrete column with an effective length of 4.8 m and size 250 x 300 mm is

Question 16

In an axle load survey the following axle loads (as depicted in the table) are considered. The Vehicle Damage Factor (VDF) if the total number of vehicles on the road in the terms of standard axle loads of 80KN is

Question 17

If two pieces of material A and B have same bulk modulus, but the value of E for B is 1% greater than for A, what is the value of 'G' for the material B in terms of E and G for material A?

Question 18

The ratio of the vertical deflection to horizontal deflection at C in the given truss as shown in figure below is ________.

Question 19

Find the flexibility matrix of a beam having the stiffness matrix

Question 20

A sand deposit contains 3 distinct horizontal layers of equal thickness. The hydraulic conductivity of the upper and lower layers in 10-3 cm/sec. and that of middle layer is 10-2 cm/sec. What is the ratio of horizontal & vertical conductivities of the three layers.

Question 21

As long as the degree of consolidation (U) does not exceed 60%, its value after a time t, is determined by the equation

Question 22

Sand lying below a masonry dam has a porosity of 40% and a specific gravity of 2.67, then the maximum permissible upward gradient, if a factor of safety of 4 is considered, is ____.

Question 23

Using Khosla’s theory estimate the value of exit gradient for a weir with a horizontal floor on a permeable foundation having width 10 m and depth of downstream sheet pile 1.5 m. The difference between upstream and downstream water levels is 4m

Question 24

The following statements are related to a laminar flow occurring in a circular conduit. Which one of the following statement is INCORRECT?

Question 25

A two lane road having free mean speed 80kmph & jam density 40 per lane per km. If the density of road at any time is 30 per lane per km, then average speed of vehicle at this density is according to Green Shield model?

Question 26

An isolated footing for a square column, 450 mm x 450 mm, is reinforced with 8-25 ∅bars, and carrying a working load of 2500 kN. The limiting bearing resistance at column base is ___ kN.
[Use M25 grade of concrete and Fe415 grade of steel]

Question 27

A derived quantity's' is given by
s = (4.86)2
The maximum error in 's' is

Question 28

A soil suspension was mode, (having volume 1 litre) with sample of dry soil (G = 2.7) weighing 200g. In pipette method of sedimentation analysis. 10 ml suspension was removed from a depth of 25 cm. after 3 min. from starting. The dry unit weight of sample is for 0.4 g Given and centipoise.
Find the diameter of setting particle

Question 29

A link is under a pull which lies on one of the faces as shown in figure below. The magnitude of maximum compressive stress in the link would be _______ N/mm2.
Description: E:\Gate\Gate-CE-Civil\01_SOM_BLok_files\image146.png

Question 30

A force F=2 N is applied on a block of mass 0.5 kg as shown in the figure. The block is constrained to move along the horizontal direction in the way. The distance (in meters) travelled by the block in 2sec starting from rest is (Neglect friction between the block and the way)

Question 31

For three soil layers A, B and C of cross-section 100mm x 100mm each shown, the permeability is 1.1x10-2 cm/sec, 2.9x10-3 cm/sec and 4.2x10-4 cm/sec respectively. The rate of water flow (in cm3/sec ) is

Question 32

What will be the thickness of the base plate in the following gusseted base plate? The intensity of pressure from concrete under the slab is 7.5 N/mm2 and the grade of steel is Fe250. 

Question 33

Moisture content of solid waste sample for the following composition is?

Question 34

A rectangular channel is 5m wide and carries a discharge of 12 m3/sec at a depth of 3m. At a certain section of the channel it is proposed to reduce the width to 2 m and alter the bed elevation by ΔZ to obtain critical flow at the contracted section without altering the upstream depth.

The maximum value of ΔZ is __________m [rounded to two decimal places]

Question 35

Out of 800 families with 4 children each, the expected number of families with 2 boys and 2 girls are ________.
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Aug 1ESE & GATE CE