Civil Engineering - CE 2018 GATE Paper with solution - Set -1 | GATE Civil Engineering (CE) 2025 Mock Test Series PDF Download

 Page 1


GATE 2018                                                                                            General Aptitude (GA) Set-7  
GA 1/3 
Q. 1 – Q. 5 carry one mark each. 
Q.1  “The driver applied the _______ as soon as she approached the hotel where she wanted to 
take a ________.” 
 
The words that best fill the blanks in the above sentence are 
 
(A) brake, break (B) break, break 
(C) brake, brake (D) break, brake 
 
 
Q.2  “It is no surprise that every society has had codes of behaviour; however, the nature of 
these codes is often _________.” 
 
The word that best fills the blank in the above sentence is 
 
(A) unpredictable (B) simple (C) expected (D) strict 
 
 
Q.3  Hema’s age is 5 years more than twice Hari’s age. Suresh’s age is 13 years less than 10 
times Hari’s age. If Suresh is 3 times as old as Hema, how old is Hema? 
 
(A) 14 (B) 17 (C) 18 (D) 19 
 
 
Q.4  Tower A is 90 m tall and tower B is 140 m tall. They are 100 m apart. A horizontal 
skywalk connects the floors at 70 m in both the towers. If a taut rope connects the top of 
tower A to the bottom of tower B, at what distance (in meters) from tower A will the rope 
intersect the skywalk? 
 
(A) 22.22 (B) 50 (C) 57.87 (D) 77.78 
 
 
Q.5  The temperature ?? in a room varies as a function of the outside temperature ?? 0
 and the 
number of persons in the room ?? , according to the relation ?? = ? (T?? + ?? 0
), where T and 
? are constants. What would be the value of T given the following data?  
 
?? ?? ?? ?? 
25 2 32.4 
30 5 42.0 
 
 
(A) 0.8 (B) 1.0 (C) 2.0 (D) 10.0 
 
 
 
 
 
 
Page 2


GATE 2018                                                                                            General Aptitude (GA) Set-7  
GA 1/3 
Q. 1 – Q. 5 carry one mark each. 
Q.1  “The driver applied the _______ as soon as she approached the hotel where she wanted to 
take a ________.” 
 
The words that best fill the blanks in the above sentence are 
 
(A) brake, break (B) break, break 
(C) brake, brake (D) break, brake 
 
 
Q.2  “It is no surprise that every society has had codes of behaviour; however, the nature of 
these codes is often _________.” 
 
The word that best fills the blank in the above sentence is 
 
(A) unpredictable (B) simple (C) expected (D) strict 
 
 
Q.3  Hema’s age is 5 years more than twice Hari’s age. Suresh’s age is 13 years less than 10 
times Hari’s age. If Suresh is 3 times as old as Hema, how old is Hema? 
 
(A) 14 (B) 17 (C) 18 (D) 19 
 
 
Q.4  Tower A is 90 m tall and tower B is 140 m tall. They are 100 m apart. A horizontal 
skywalk connects the floors at 70 m in both the towers. If a taut rope connects the top of 
tower A to the bottom of tower B, at what distance (in meters) from tower A will the rope 
intersect the skywalk? 
 
(A) 22.22 (B) 50 (C) 57.87 (D) 77.78 
 
 
Q.5  The temperature ?? in a room varies as a function of the outside temperature ?? 0
 and the 
number of persons in the room ?? , according to the relation ?? = ? (T?? + ?? 0
), where T and 
? are constants. What would be the value of T given the following data?  
 
?? ?? ?? ?? 
25 2 32.4 
30 5 42.0 
 
 
(A) 0.8 (B) 1.0 (C) 2.0 (D) 10.0 
 
 
 
 
 
 
GATE 2018                                                                                            General Aptitude (GA) Set-7  
GA 2/3 
Q. 6 – Q. 10 carry two marks each. 
 
Q.6  A fruit seller sold a basket of fruits at 12.5% loss. Had he sold it for Rs. 108 more, he 
would have made a 10% gain. What is the loss in Rupees incurred by the fruit seller? 
 
(A) 48 (B) 52 (C) 60 (D) 108 
 
 
Q.7  The price of a wire made of a superalloy material is proportional to the square of its length. 
The price of 10 m length of the wire is Rs. 1600. What would be the total price (in Rs.) of 
two wires of lengths 4 m and 6m? 
 
(A) 768  (B) 832  (C) 1440  (D) 1600  
 
 
Q.8  Which of the following function(s) is an accurate description of the graph for the range(s) 
indicated? 
 
 
(i) ?? = 2?? + 4 for -3 = ?? = -1 
(ii) ?? = |?? - 1| for -1 = ?? = 2 
(iii) ?? = ||?? | - 1| for -1 = ?? = 2 
(iv) ?? = 1 for 2 = ?? = 3 
 
(A) (i), (ii) and (iii) only. 
(B) (i), (ii) and (iv) only. 
(C) (i) and (iv) only. 
(D) (ii) and (iv) only. 
 
 
Q.9  
Consider a sequence of numbers ?? 1
, ?? 2
, ?? 3
, ? , ?? ?? where ?? ?? =
1
?? -
1
?? +2
, for each integer 
?? > 0. What is the sum of the first 50 terms? 
 
(A) (1 + 
1
2
) -
1
50
 (B) (1 + 
1
2
) +
1
50
 
(C) (1 + 
1
2
) - ( 
1
51
+
1
52
) (D)  1 - ( 
1
51
+
1
52
) 
 
 
Page 3


GATE 2018                                                                                            General Aptitude (GA) Set-7  
GA 1/3 
Q. 1 – Q. 5 carry one mark each. 
Q.1  “The driver applied the _______ as soon as she approached the hotel where she wanted to 
take a ________.” 
 
The words that best fill the blanks in the above sentence are 
 
(A) brake, break (B) break, break 
(C) brake, brake (D) break, brake 
 
 
Q.2  “It is no surprise that every society has had codes of behaviour; however, the nature of 
these codes is often _________.” 
 
The word that best fills the blank in the above sentence is 
 
(A) unpredictable (B) simple (C) expected (D) strict 
 
 
Q.3  Hema’s age is 5 years more than twice Hari’s age. Suresh’s age is 13 years less than 10 
times Hari’s age. If Suresh is 3 times as old as Hema, how old is Hema? 
 
(A) 14 (B) 17 (C) 18 (D) 19 
 
 
Q.4  Tower A is 90 m tall and tower B is 140 m tall. They are 100 m apart. A horizontal 
skywalk connects the floors at 70 m in both the towers. If a taut rope connects the top of 
tower A to the bottom of tower B, at what distance (in meters) from tower A will the rope 
intersect the skywalk? 
 
(A) 22.22 (B) 50 (C) 57.87 (D) 77.78 
 
 
Q.5  The temperature ?? in a room varies as a function of the outside temperature ?? 0
 and the 
number of persons in the room ?? , according to the relation ?? = ? (T?? + ?? 0
), where T and 
? are constants. What would be the value of T given the following data?  
 
?? ?? ?? ?? 
25 2 32.4 
30 5 42.0 
 
 
(A) 0.8 (B) 1.0 (C) 2.0 (D) 10.0 
 
 
 
 
 
 
GATE 2018                                                                                            General Aptitude (GA) Set-7  
GA 2/3 
Q. 6 – Q. 10 carry two marks each. 
 
Q.6  A fruit seller sold a basket of fruits at 12.5% loss. Had he sold it for Rs. 108 more, he 
would have made a 10% gain. What is the loss in Rupees incurred by the fruit seller? 
 
(A) 48 (B) 52 (C) 60 (D) 108 
 
 
Q.7  The price of a wire made of a superalloy material is proportional to the square of its length. 
The price of 10 m length of the wire is Rs. 1600. What would be the total price (in Rs.) of 
two wires of lengths 4 m and 6m? 
 
(A) 768  (B) 832  (C) 1440  (D) 1600  
 
 
Q.8  Which of the following function(s) is an accurate description of the graph for the range(s) 
indicated? 
 
 
(i) ?? = 2?? + 4 for -3 = ?? = -1 
(ii) ?? = |?? - 1| for -1 = ?? = 2 
(iii) ?? = ||?? | - 1| for -1 = ?? = 2 
(iv) ?? = 1 for 2 = ?? = 3 
 
(A) (i), (ii) and (iii) only. 
(B) (i), (ii) and (iv) only. 
(C) (i) and (iv) only. 
(D) (ii) and (iv) only. 
 
 
Q.9  
Consider a sequence of numbers ?? 1
, ?? 2
, ?? 3
, ? , ?? ?? where ?? ?? =
1
?? -
1
?? +2
, for each integer 
?? > 0. What is the sum of the first 50 terms? 
 
(A) (1 + 
1
2
) -
1
50
 (B) (1 + 
1
2
) +
1
50
 
(C) (1 + 
1
2
) - ( 
1
51
+
1
52
) (D)  1 - ( 
1
51
+
1
52
) 
 
 
GATE 2018                                                                                            General Aptitude (GA) Set-7  
GA 3/3 
 
 
Q.10  Each of the letters arranged as below represents a unique integer from 1 to 9. The letters are 
positioned in the figure such that (A × B × C), (B × G × E) and (D × E × F) are equal. 
Which integer among the following choices cannot be represented by the letters A, B, C, D, 
E, F or G? 
A  D 
B G E 
C  F 
 
(A) 4 (B) 5 (C) 6 (D)  9 
 
 
END OF THE QUESTION PAPER 
 
Page 4


GATE 2018                                                                                            General Aptitude (GA) Set-7  
GA 1/3 
Q. 1 – Q. 5 carry one mark each. 
Q.1  “The driver applied the _______ as soon as she approached the hotel where she wanted to 
take a ________.” 
 
The words that best fill the blanks in the above sentence are 
 
(A) brake, break (B) break, break 
(C) brake, brake (D) break, brake 
 
 
Q.2  “It is no surprise that every society has had codes of behaviour; however, the nature of 
these codes is often _________.” 
 
The word that best fills the blank in the above sentence is 
 
(A) unpredictable (B) simple (C) expected (D) strict 
 
 
Q.3  Hema’s age is 5 years more than twice Hari’s age. Suresh’s age is 13 years less than 10 
times Hari’s age. If Suresh is 3 times as old as Hema, how old is Hema? 
 
(A) 14 (B) 17 (C) 18 (D) 19 
 
 
Q.4  Tower A is 90 m tall and tower B is 140 m tall. They are 100 m apart. A horizontal 
skywalk connects the floors at 70 m in both the towers. If a taut rope connects the top of 
tower A to the bottom of tower B, at what distance (in meters) from tower A will the rope 
intersect the skywalk? 
 
(A) 22.22 (B) 50 (C) 57.87 (D) 77.78 
 
 
Q.5  The temperature ?? in a room varies as a function of the outside temperature ?? 0
 and the 
number of persons in the room ?? , according to the relation ?? = ? (T?? + ?? 0
), where T and 
? are constants. What would be the value of T given the following data?  
 
?? ?? ?? ?? 
25 2 32.4 
30 5 42.0 
 
 
(A) 0.8 (B) 1.0 (C) 2.0 (D) 10.0 
 
 
 
 
 
 
GATE 2018                                                                                            General Aptitude (GA) Set-7  
GA 2/3 
Q. 6 – Q. 10 carry two marks each. 
 
Q.6  A fruit seller sold a basket of fruits at 12.5% loss. Had he sold it for Rs. 108 more, he 
would have made a 10% gain. What is the loss in Rupees incurred by the fruit seller? 
 
(A) 48 (B) 52 (C) 60 (D) 108 
 
 
Q.7  The price of a wire made of a superalloy material is proportional to the square of its length. 
The price of 10 m length of the wire is Rs. 1600. What would be the total price (in Rs.) of 
two wires of lengths 4 m and 6m? 
 
(A) 768  (B) 832  (C) 1440  (D) 1600  
 
 
Q.8  Which of the following function(s) is an accurate description of the graph for the range(s) 
indicated? 
 
 
(i) ?? = 2?? + 4 for -3 = ?? = -1 
(ii) ?? = |?? - 1| for -1 = ?? = 2 
(iii) ?? = ||?? | - 1| for -1 = ?? = 2 
(iv) ?? = 1 for 2 = ?? = 3 
 
(A) (i), (ii) and (iii) only. 
(B) (i), (ii) and (iv) only. 
(C) (i) and (iv) only. 
(D) (ii) and (iv) only. 
 
 
Q.9  
Consider a sequence of numbers ?? 1
, ?? 2
, ?? 3
, ? , ?? ?? where ?? ?? =
1
?? -
1
?? +2
, for each integer 
?? > 0. What is the sum of the first 50 terms? 
 
(A) (1 + 
1
2
) -
1
50
 (B) (1 + 
1
2
) +
1
50
 
(C) (1 + 
1
2
) - ( 
1
51
+
1
52
) (D)  1 - ( 
1
51
+
1
52
) 
 
 
GATE 2018                                                                                            General Aptitude (GA) Set-7  
GA 3/3 
 
 
Q.10  Each of the letters arranged as below represents a unique integer from 1 to 9. The letters are 
positioned in the figure such that (A × B × C), (B × G × E) and (D × E × F) are equal. 
Which integer among the following choices cannot be represented by the letters A, B, C, D, 
E, F or G? 
A  D 
B G E 
C  F 
 
(A) 4 (B) 5 (C) 6 (D)  9 
 
 
END OF THE QUESTION PAPER 
 
GATE 2018                                                                                                                                                                         Civil Engineering (Set 1) 
CE 1/11 
Q. 1 – Q. 25 carry one mark each. 
 
Q.1  Which one of the following matrices is singular? 
(A) 
25
13
??
??
??
 (B)  
32
23
??
??
??
 (C)  
24
36
??
??
??
 (D)  
43
62
??
??
??
 
 
Q.2  For the given orthogonal matrix Q,  
?? = [
3/7 2/7 6/7
-6/7 3/7 2/7
2/7 6/7 -3/7
] 
The inverse is 
 
    
(A)  [
3/7 2/7 6/7
-6/7 3/7 2/7
2/7 6/7 -3/7
] 
 
(B)  [
-3/7 -2/7 -6/7
6/7 -3/7 -2/7
-2/7 -6/7 3/7
] 
 
(C)  [
3/7 -6/7 2/7
2/7 3/7 6/7
6/7 2/7 -3/7
] 
 
 
(D)  [
-3/7 6/7 -2/7
-2/7 -3/7 -6/7
-6/7 -2/7 3/7
] 
 
 
Q.3  At the point ?? = 0, the function ?? (?? ) = ?? 3 
has 
(A) local maximum 
(B) local minimum 
(C) both local maximum and minimum 
(D) neither local maximum nor local minimum 
 
Q.4  A column of height h with a rectangular cross-section of size a×2a has a buckling load of 
P. If the cross-section is changed to 0.5a × 3a and its height changed to 1.5h, the buckling 
load of the redesigned column will be 
 
(A) P/12 (B) P/4 (C)  P/2 (D)  3P/4 
 
 
Page 5


GATE 2018                                                                                            General Aptitude (GA) Set-7  
GA 1/3 
Q. 1 – Q. 5 carry one mark each. 
Q.1  “The driver applied the _______ as soon as she approached the hotel where she wanted to 
take a ________.” 
 
The words that best fill the blanks in the above sentence are 
 
(A) brake, break (B) break, break 
(C) brake, brake (D) break, brake 
 
 
Q.2  “It is no surprise that every society has had codes of behaviour; however, the nature of 
these codes is often _________.” 
 
The word that best fills the blank in the above sentence is 
 
(A) unpredictable (B) simple (C) expected (D) strict 
 
 
Q.3  Hema’s age is 5 years more than twice Hari’s age. Suresh’s age is 13 years less than 10 
times Hari’s age. If Suresh is 3 times as old as Hema, how old is Hema? 
 
(A) 14 (B) 17 (C) 18 (D) 19 
 
 
Q.4  Tower A is 90 m tall and tower B is 140 m tall. They are 100 m apart. A horizontal 
skywalk connects the floors at 70 m in both the towers. If a taut rope connects the top of 
tower A to the bottom of tower B, at what distance (in meters) from tower A will the rope 
intersect the skywalk? 
 
(A) 22.22 (B) 50 (C) 57.87 (D) 77.78 
 
 
Q.5  The temperature ?? in a room varies as a function of the outside temperature ?? 0
 and the 
number of persons in the room ?? , according to the relation ?? = ? (T?? + ?? 0
), where T and 
? are constants. What would be the value of T given the following data?  
 
?? ?? ?? ?? 
25 2 32.4 
30 5 42.0 
 
 
(A) 0.8 (B) 1.0 (C) 2.0 (D) 10.0 
 
 
 
 
 
 
GATE 2018                                                                                            General Aptitude (GA) Set-7  
GA 2/3 
Q. 6 – Q. 10 carry two marks each. 
 
Q.6  A fruit seller sold a basket of fruits at 12.5% loss. Had he sold it for Rs. 108 more, he 
would have made a 10% gain. What is the loss in Rupees incurred by the fruit seller? 
 
(A) 48 (B) 52 (C) 60 (D) 108 
 
 
Q.7  The price of a wire made of a superalloy material is proportional to the square of its length. 
The price of 10 m length of the wire is Rs. 1600. What would be the total price (in Rs.) of 
two wires of lengths 4 m and 6m? 
 
(A) 768  (B) 832  (C) 1440  (D) 1600  
 
 
Q.8  Which of the following function(s) is an accurate description of the graph for the range(s) 
indicated? 
 
 
(i) ?? = 2?? + 4 for -3 = ?? = -1 
(ii) ?? = |?? - 1| for -1 = ?? = 2 
(iii) ?? = ||?? | - 1| for -1 = ?? = 2 
(iv) ?? = 1 for 2 = ?? = 3 
 
(A) (i), (ii) and (iii) only. 
(B) (i), (ii) and (iv) only. 
(C) (i) and (iv) only. 
(D) (ii) and (iv) only. 
 
 
Q.9  
Consider a sequence of numbers ?? 1
, ?? 2
, ?? 3
, ? , ?? ?? where ?? ?? =
1
?? -
1
?? +2
, for each integer 
?? > 0. What is the sum of the first 50 terms? 
 
(A) (1 + 
1
2
) -
1
50
 (B) (1 + 
1
2
) +
1
50
 
(C) (1 + 
1
2
) - ( 
1
51
+
1
52
) (D)  1 - ( 
1
51
+
1
52
) 
 
 
GATE 2018                                                                                            General Aptitude (GA) Set-7  
GA 3/3 
 
 
Q.10  Each of the letters arranged as below represents a unique integer from 1 to 9. The letters are 
positioned in the figure such that (A × B × C), (B × G × E) and (D × E × F) are equal. 
Which integer among the following choices cannot be represented by the letters A, B, C, D, 
E, F or G? 
A  D 
B G E 
C  F 
 
(A) 4 (B) 5 (C) 6 (D)  9 
 
 
END OF THE QUESTION PAPER 
 
GATE 2018                                                                                                                                                                         Civil Engineering (Set 1) 
CE 1/11 
Q. 1 – Q. 25 carry one mark each. 
 
Q.1  Which one of the following matrices is singular? 
(A) 
25
13
??
??
??
 (B)  
32
23
??
??
??
 (C)  
24
36
??
??
??
 (D)  
43
62
??
??
??
 
 
Q.2  For the given orthogonal matrix Q,  
?? = [
3/7 2/7 6/7
-6/7 3/7 2/7
2/7 6/7 -3/7
] 
The inverse is 
 
    
(A)  [
3/7 2/7 6/7
-6/7 3/7 2/7
2/7 6/7 -3/7
] 
 
(B)  [
-3/7 -2/7 -6/7
6/7 -3/7 -2/7
-2/7 -6/7 3/7
] 
 
(C)  [
3/7 -6/7 2/7
2/7 3/7 6/7
6/7 2/7 -3/7
] 
 
 
(D)  [
-3/7 6/7 -2/7
-2/7 -3/7 -6/7
-6/7 -2/7 3/7
] 
 
 
Q.3  At the point ?? = 0, the function ?? (?? ) = ?? 3 
has 
(A) local maximum 
(B) local minimum 
(C) both local maximum and minimum 
(D) neither local maximum nor local minimum 
 
Q.4  A column of height h with a rectangular cross-section of size a×2a has a buckling load of 
P. If the cross-section is changed to 0.5a × 3a and its height changed to 1.5h, the buckling 
load of the redesigned column will be 
 
(A) P/12 (B) P/4 (C)  P/2 (D)  3P/4 
 
 
GATE 2018                                                                                                                                                                         Civil Engineering (Set 1) 
CE 2/11 
Q.5  A steel column of ISHB 350 @72.4 kg/m is subjected to a factored axial compressive load 
of 2000 kN. The load is transferred to a concrete pedestal of grade M20 through a square 
base plate. Consider bearing strength of concrete as 0.45fck, where fck is the characteristic 
strength of concrete. Using limit state method and neglecting the self weight of base plate 
and steel column, the length of a side of the base plate to be provided is  
           (A) 39 cm
 
      (B) 42 cm (C)  45 cm (D)  48 cm 
 
Q.6  The Le Chatelier apparatus is used to determine 
(A) compressive strength of cement  (B) fineness of cement  
(C) setting time of cement (D) soundness of cement 
 
Q.7  The deformation in concrete due to sustained loading is 
(A) creep  (B)  hydration  (C)  segregation (D)  shrinkage 
 
Q.8  A solid circular beam with radius of 0.25 m and length of 2 m is subjected to a twisting 
moment of 20 kNm about the z-axis at the free end, which is the only load acting as shown 
in the figure. The shear stress component ?? ????
 at Point ‘M’ in the cross-section of the beam 
at a distance of 1 m from the fixed end is 
 
 
(A) 0.0 MPa (B) 0.51 MPa (C)  0.815 MPa (D)  2.0 MPa 
 
 
Q.9  Two rectangular under-reinforced concrete beam sections X and Y are similar in all aspects 
except that the longitudinal compression reinforcement in section Y is 10% more. Which 
one of the following is the correct statement?  
 (A) Section X has less flexural strength and is less ductile than section Y 
 (B) Section X has less flexural strength but is more ductile than section Y 
 (C) Sections X and Y have equal flexural strength but different ductility 
 (D) Sections X and Y have equal flexural strength and ductility 
 
Q.10  The percent reduction in the bearing capacity of a strip footing resting on sand under 
flooding condition (water level at the base of the footing) when compared to the situation 
where the water level is at a depth much greater than the width of footing, is approximately  
(A) 0 (B)  25 (C)  50 (D)  100 
 
 
20 kNm