Practice Test: Gate Civil Engineering(CE) 2021 Paper: (Session II) - Civil Engineering (CE) MCQ

2 identical cube shaped dice each with faces numbered 1 to 6 are rolled simultaneously. The probability that an even number is rolled out on each dice is : 

On a planer field, you travelled 3 units east from a point O. Next you travelled 4 units south to arrive at point P . Then you travelled from P in north-east direction such that you arrive at a point that is 6 units east of point O. Next, you travelled in the NW direction, so that you arrive at point Q that is 8 units north of point P . The distance of point Q to point O, in same units, should be________.   

(i) Arun and Aparna are here  
(ii) Arun and Aparna is here  
(iii) Arun’s families is here  
(iv) Arun’s family is here  
Which of the above sentences are grammatically CORRECT? 

Among the options given below, the statement that logically follows from the two statements 1 and 2 below, is : 

1. Some football players play cricket  
2. All cricket players play hockey  

4 person P,Q, R, S are to be seated in row R should not be seated in 2^nd position from left end of row. The number of distinct seating arrangement possible is :

In the figure PQRS is a square. the shaded portion is formed by intersection of sectors of circle with radius equal to the side of square and center at S and Q. 

The probability that any point picked randomly within square falls in shaded area is  

The author said, “musicians rehearse before their concerts. Actors rehearse there roles before the opening of new play. On the other hand, I find it strange that many public speakers thick they can just walk on the stage and start speaking. In my opinion, it is no less important for public speakers to rehearse talks.”  
Based on the above passage, which one the following is TRUE? 

Which of the following statements is are correct?  

The hardness of a water sample is measured directly by titration with 0.01 M solution of ethylene diamine tetraacetic acid (EDTA) using eriochrome black T(EBT) as an indicator. The EBT reacts and forms complexes with divalent metallic cations present in the water. During titration, the EDTA replaces the EBT in the complex. When the replacement of EBT complete at the end point of the titration. The colour of the solution changes from  

In case of bids in two-envelop system, the correct option is :

In a 3-phase signal system design for a 4-leg intersection, the critical flow ratios for each phase are 0.18, 0.32, 0.22. The loss time in each of the phase is 2 sec. As per Webster’s formula, the optimal cycle length (in sec, round off to the nearest integer) is __________ .   

As per the unified soil classification system (USCS), the type of soil represented by MH is  

From laboratory investigations, the liquid limit, plastic limit, natural moisture content and flow index of a soil specimen are obtained as 60%, 27%, 32% and 27%, respectively. The corresponding toughness index and liquidity index of soil specimen, respectively, are 

The Softening point of bitumen has the same unit as that of 

A frame EFG is shown in the figure. All members are prismatic and have equal flexural rigidity. The member FG carries a uniformly distributed load w per unit length. Axial deformation of any member is neglected. Considering the joint F being rigid, the support reaction at G is 

For a given transverse, latitudes and departures are calculated and it is found that sum of latitudes is equal to +2.1 and the sum of departures is equal to – 2.8 m. The length and bearing of the closing error, respectively, are :

The stopping sight distance (SSD) for a level highway is 140 m. For the design speed of 90 km/h. The acceleration due to gravity and deceleration rate are 9.81 m/s² and 3.5 m/s², respectively. The perception relation time (in sec), round off to two decimal places) used in the SSD calculation is________. 

The void ratio of a clay soil sample M decreased from 0.575 to 0.510 when the applied pressure is increased from 120 kPa to 150 kPa. For the same increment in pressure, the void ratio of another clay soil sample N decreases from 0.600 to 0.550. If the ratio of hydraulic conductivity of sample M to sample N is 0.125. Then the ratio of coefficient of consolidation of sample M to sample N (round off to three decimal places) is ______. 

A grit chamber of rectangular cross-section is to be designed to remove particles with diameter of 0.25 mm and specific gravity of 2.70. The terminal settling velocity of the particles is estimated as 2.5 cm/s. The chamber is having a width of 0.50 m and has to carry a peak wastewater flow of 9720 m3/d giving the depth of flow as 0.75 m. If a flow-through velocity of 0.3 m/s has to be maintained using a proportional weir at the outlet end of the chamber, the minimum length of the chamber (in m, in integer) to remove 0.25 mm particles completely is ______.  

Relationship between traffic speed and density is described using a negatively sloped straight line. If V_F is the free – flow speed then the speed at which the maximum flow occurs is  

A prismatic steel beam is shown in the figure. The plastic moment, M_p calculated for collapse mechanism using static method and kinematic method is,  

S = static, K = kinematic  

The hyetograph in the figure corresponds to a rainfall event of 3 cm. 

If the rainfall even has produced a direct runoff of 1.6 cm, the ϕ -index of the even (in mm/hour, round off to one decimal place) would be ___________. 

An activated sludge process (ASP) is designed for  secondary treatment of 2500 m3 /day of municipal wastewater. After primary clarifier, the ultimate BOD of the influent, which enters into ASP reactor is 200 mg/L Treated effluent after secondary clarifier is required to have an ultimate BOD of 20 mg/L. Mix liquor volatile suspended solids (MLVSS) concentration in the reactor and the under flow is maintained as 3000 mg/L and  12000 mg/L, respectively.  The hydraulic retention time and mean sale cell residence time are 0.2 day and 10 days, respectively. A representative flow diagram of the ASP is shown below. 

In an aggregate mix, the proportions of coarse aggregate, fine aggregate and mineral filler are 55%, 40% and 5% respectively. The values of bulk specific gravity of the coarse aggregate, fine aggregate and mineral filler are 2.55, 2.65 and 2.70, respectively. The bulk specific gravity of the aggregate mix (round off to two decimal places) is _______. 

The rank of matrix  

The value (round off to one decimal places) of 

Read the statements given below :
(i) Value of the wind profile exponent for the “very unstable” atmosphere is smaller than the wind profile exponent for the “neutral” atmosphere.  
(ii) Downwind concentration of air pollutants due to an elevated point source will be inversely proportional to the wind speed.  
(iii) Value of the wind profile exponent for the “neutral” atmosphere is smaller than the wind profile exponent for the “very unstable” atmosphere.  
(iv) Downwind concentration of air pollutants due to an elevated point source will be directly proportional to the wind speed 
Select the correct option.