All India Mock GATE Test Series Test series 4 Civil Engineering

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1 All India Mock GATE Test Series Test series 4 Civil Engineering Answer Keys and Explanations General Aptitde: 1 [Ans A] Meaning: slow to move or act Part of Speech: Adjective 2 [Ans *] Range: 9 to 9 So, the series is a GP in which = 5 and r = 2 To find the term of a Geometric progression, the formla is et 1280 be the term of the series Then, 3 [Ans A] For this type of qestion take the CM of speeds and assme the CM as the distance Ths we see that in place of 5 hrs trains take 6 hrs Its means train takes 1 hr extra and this one hor is stopping period in the total time of 6 hrs Ths in 6 hrs train halts for 1 hr so in 1 hr train will stop for hors or 10 mintes 4 [Ans *] Range: 10 to 10 R P R = Since ABCD is a parallelogram AD= BC : , info@thegateacademycom Copyright reserved Web:wwwthegateacademycom 1

2 5 [Ans A] Actors Dancers Singers (Or) Dancers Singers Only (1) Follows Actors 6 [Ans *] Range: 6 to 6 Given: R ] ] ] Ths total 6 coins have to be transferred 7 [Ans B] The nmbers are given in pair of 4 and 9 The nit digit of each pair is 4, and there are 50 sch pairs which are mtally mltiplied together ie, the nit digit of, which is 6 [Since nit digit of ] : , info@thegateacademycom Copyright reserved Web:wwwthegateacademycom 2

3 8 [Ans B] Ths the nmber of Girls = 16 and nmber of Boys = 24 9 [Ans D] et there be x voters and k votes goes to loser then From eqa Nmber of voters voted = x 02x 08x= = 3200 : , info@thegateacademycom Copyright reserved Web:wwwthegateacademycom 3

4 10 [Ans *] Range: 40 to 40 Given If the efficiency of is same, then 50% more work force is reqired Bt it is given the prodctivity of new labor is 25% more (ie, 5/4 times efficient) : , info@thegateacademycom Copyright reserved Web:wwwthegateacademycom 4

5 Technical: 1 [Ans *]Range: 20 to20 As we know, (, Given Method-1 (, Re-write the matrix (, So, Method-2 R R R R R R R R R For trianglar matrix P P : , info@thegateacademycom Copyright reserved Web:wwwthegateacademycom 5

6 2 [Ans D] The given fnction is not continos at x = 2 If a fnction is not continos at x = 0 then it cannot be differentiable 3 [Ans B] Since no y-derivation occr, we can solve the given PDE like The soltion for is given by with constant A and B Here A and B may be fnction of y so the answer is 4 [Ans B] 5 [Ans C] Maclarin Series is given by ( ) : , info@thegateacademycom Copyright reserved Web:wwwthegateacademycom 6

7 6 [Ans *]Range: 9 to 9 P The trss can go two displacements at each joint Althogh rotations can take place on each joint, since movements cannot be sstained at trss joints, rotations have no physical significance in this problem So, the trss is Kinematically Indeterminate to the ninth degree 7 [Ans *] Range: to P Eqivalent Shear Force: Eqivalent Shear Stress: ( ) 8 [Ans D] In method of joints, necessary reactions are worked ot first Then taking each joint, the forces acting on it will be external forces inclding reactions if any and the forces in varios members : , info@thegateacademycom Copyright reserved Web:wwwthegateacademycom 7

8 9 [Ans A] As per IS 3495 (Part 2) 1992 procedre for water absorption, when bricks are immersed in water for 24 hors, water absorption shall not be more than 20% by weight p to class 125 (Class designation ie, compressive strength) and 15% by weight for higher classes 10 [Ans C] As if F then the activity is sper critical and so there is no freedom or flexibility, so reqires special attention If F = sb-critical Flexibility or freedom to delay the activity is there, so reqire normal attention 11 [Ans *]Range: 10 to 105 =1031kN 12 [Ans D] 13 [Ans C] [ ( ) ] [ ] ( ) : , info@thegateacademycom Copyright reserved Web:wwwthegateacademycom 8

9 14 [Ans *]Range: 72 to73 =7285 cm/s 15 [Ans D] 16 [Ans *]Range: 2 to 5 For coette flow (No pressre gradient) velocity profile is Considering the flid to be Newtonian So, P 17 [Ans A] When ambient lapse rate is less than adiabatic lapse rate, the ambient lapse rate is said to be sb adiabatic 18 [Ans B] : , info@thegateacademycom Copyright reserved Web:wwwthegateacademycom 9

10 19 [Ans *] Range: 75 to 75 Temporary hardness or Carbonate hardness (CH) = ess of Total Hardness (TH) or alkalinity =225 mg/l as So, Non carbonate Hardness (NCH) 20 [Ans C] 21 [Ans *]Range: 30 to [Ans C] P [ R ] 23 [Ans C] 24 [Ans A] 25 [Ans A] Trnnion axis not perpendiclar to the vertical axis by a small amont is also an example of error in horizontal circle bearing : , info@thegateacademycom Copyright reserved Web:wwwthegateacademycom 10

11 26 [Ans *] 1665 to 1667 Parabola intersects the x-axis at and 4 also at x = 0, y = 24 is the eqation of the given crve 27 [Ans C] ( * 28 [Ans C] Pt so that ( ) 29 [Ans B] The characteristic eqation of the homogenos ODE is given by Verification of the options (A) Roots are which do not satisfy (B) Roots are which satisfy (C) Roots are which do not satisfy (D) Roots are which do not satisfy : , info@thegateacademycom Copyright reserved Web:wwwthegateacademycom 11

12 30 [Ans C] 31 [Ans C] ( P * P P ( * ( ) ( * * + 32 [Ans B] 33 [Ans *]Range: 17 to 17 Joints Member Relative stiffness Total relative stiffness Distribtion factor B C 06357I 34 [Ans A] The method of section can be more sefl if one jst wants to know the forces acting on a particlar member close to the center of the trss : , info@thegateacademycom Copyright reserved Web:wwwthegateacademycom 12

13 35 [Ans *]Range: 60 to 62 Given beam cross-section AB=10cm BC=5 cm ( * ( * ( + ( ) ( ) ( ) P ( ) ( ) 36 [Ans *] Range: 30 to 30 P : , info@thegateacademycom Copyright reserved Web:wwwthegateacademycom 13

14 37 [Ans *]Range: 52 to 53 Case: 1 Bt when plate will try to tear along section , the bolt at 6 will try to resist it with its shear capacity of 15 kn, hence effective tension for rptre will be Case: 2 Case 3: ( ), - 38 [Ans B] (i) Beam mechanism { } kn ( * (ii) Sway mechanism : , info@thegateacademycom Copyright reserved Web:wwwthegateacademycom 14

15 ( * ( * (iii) Combined Mechanism ( * ( * owest vale =Collapse load 39 [Ans D] Free float for EF : , info@thegateacademycom Copyright reserved Web:wwwthegateacademycom 15

16 40 [Ans *]Range: 185 to 195 Soil specimen will attain minimm volme at shrinkage limit If is mass of solids, volme of water at liqid limit, 41 [Ans A] (i) N vale increases with depth Correct (ii) N= represents dense sand Incorrect 42 [Ans *]Range: 03 to 032 ( ) Total settlement of clay layer: 43 [Ans C] Apex angle : , info@thegateacademycom Copyright reserved Web:wwwthegateacademycom 16

17 44 [Ans *]Range: 81 to 83 So, it is a shallow fondation [ ( *] 45 [Ans *]Range: to Conservation of mass (steady state) { ( ) ( ) } [ / [ ( * ] [ ( * ] : , info@thegateacademycom Copyright reserved Web:wwwthegateacademycom 17

18 46 [Ans D] Now free Chlorine residal=15 mg/l 47 [Ans D] From Diagram, [ ] : , info@thegateacademycom Copyright reserved Web:wwwthegateacademycom 18

19 48 [Ans *]Range: 4 to 4 Power available from trbines P Relation for specific speed P Power available from a single trbine P ( * ( * R 49 [Ans D] Base period of 6-hor nit hydrograph=84 hors Then the base period of 12 hor nit hydrograph is 6+84 hor=90 hors as to obtain 12 hor UH by sperposition method, the 6 hor UH is lagged by 6 hors, so the base period for 12 hr UH is 6+84=90 hors 50 [Ans *] Range: 030 to 030 Since each hosehold gets water=500 l/day So, total treated water : , info@thegateacademycom Copyright reserved Web:wwwthegateacademycom 19

20 51 [Ans *] Range: 5 to 51 Total area of settling tanks reqired 52 [Ans C] Volme of reaction tank, 53 [Ans *]Range: 715 to 716 Total lost time, Effective green time, Capacity of the given phases 54 [Ans *]Range: 67 to 67 The weighted horly capacity is WHC : , info@thegateacademycom Copyright reserved Web:wwwthegateacademycom 20

21 55 [Ans *]Range: to R R R R R : , info@thegateacademycom Copyright reserved Web:wwwthegateacademycom 21

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