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# Mechanical Engineering - ME 2018 GATE Paper with solution - Set - 1 Mechanical Engineering Notes | EduRev

## Mechanical Engineering : Mechanical Engineering - ME 2018 GATE Paper with solution - Set - 1 Mechanical Engineering Notes | EduRev

``` Page 1

GATE 2018                                                                                            General Aptitude (GA) Set-1
GA 1/2
Q. 1 – Q. 5 carry one mark each.
Q.1  “Going by the _________ that many hands make light work, the school _______ involved
all the students in the task .”

The words that best fill the blanks in the above sentence are

(A) principle, principal (B) principal, principle
(C) principle, principle (D) principal, principal

Q.2  “Her _______ should not be confused with miserliness; she is ever willing to assist those in
need. ”

The word that best fills the blank in the above sentence is

(A) cleanliness (B) punctuality (C) frugality (D) greatness

Q.3  Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many
minutes would it take for 100 machines to make 100 toys?

(A) 1 (B) 7 (C) 100 (D) 700

Q.4  A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m,
respectively. During this process, the rectangle loses 650 m
2
of area. What is the area of the
original rectangle in square meters?

(A) 1125 (B) 2250 (C) 2924 (D) 4500

Q.5  A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the
number, its digits are interchanged. What is the number?

(A) 63 (B) 72 (C) 81 (D) 90

Q. 6 – Q. 10 carry two marks each.

Q.6  For integers ?? , ?? and ?? , what would be the minimum and maximum values respectively of
?? + ?? + ?? if log |?? | + log |?? | + log |?? | = 0?

(A) -3 and 3 (B) -1 and 1 (C) -1 and 3 (D) 1 and 3

Page 2

GATE 2018                                                                                            General Aptitude (GA) Set-1
GA 1/2
Q. 1 – Q. 5 carry one mark each.
Q.1  “Going by the _________ that many hands make light work, the school _______ involved
all the students in the task .”

The words that best fill the blanks in the above sentence are

(A) principle, principal (B) principal, principle
(C) principle, principle (D) principal, principal

Q.2  “Her _______ should not be confused with miserliness; she is ever willing to assist those in
need. ”

The word that best fills the blank in the above sentence is

(A) cleanliness (B) punctuality (C) frugality (D) greatness

Q.3  Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many
minutes would it take for 100 machines to make 100 toys?

(A) 1 (B) 7 (C) 100 (D) 700

Q.4  A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m,
respectively. During this process, the rectangle loses 650 m
2
of area. What is the area of the
original rectangle in square meters?

(A) 1125 (B) 2250 (C) 2924 (D) 4500

Q.5  A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the
number, its digits are interchanged. What is the number?

(A) 63 (B) 72 (C) 81 (D) 90

Q. 6 – Q. 10 carry two marks each.

Q.6  For integers ?? , ?? and ?? , what would be the minimum and maximum values respectively of
?? + ?? + ?? if log |?? | + log |?? | + log |?? | = 0?

(A) -3 and 3 (B) -1 and 1 (C) -1 and 3 (D) 1 and 3

GATE 2018                                                                                            General Aptitude (GA) Set-1
GA 2/2
Q.7  Given that ?? and ?? are integers and ?? + ?? 2
?? 3
is odd, which one of the following
statements is correct?

(A) ?? and ?? are both odd (B) ?? and ?? are both even
(C) ?? is even and ?? is odd (D) ?? is odd and ?? is even

Q.8  From the time the front of a train enters a platform, it takes 25 seconds for the back of the
train to leave the platform, while travelling at a constant speed of 54 km/h. At the same
speed, it takes 14 seconds to pass a man running at 9 km/h in the same direction as the
train. What is the length of the train and that of the platform in meters, respectively?

(A) 210 and 140 (B) 162.5 and 187.5
(C) 245 and 130 (D) 175 and 200

Q.9  Which of the following functions describe the graph shown in the below figure?

(A) ?? = ||?? | + 1| - 2 (B) ?? = ||?? | - 1| - 1
(C) ?? = ||?? | + 1| - 1 (D) ?? = ||?? - 1| - 1|

Q.10  Consider the following three statements:
(i) Some roses are red.
(ii) All red flowers fade quickly.

Which of the following statements can be logically inferred from the above statements?

(A) If (i) is true and (ii) is false, then (iii) is false.
(B) If (i) is true and (ii) is false, then (iii) is true.
(C) If (i) and (ii) are true, then (iii) is true.
(D) If (i) and (ii) are false, then (iii) is false.

END OF THE QUESTION PAPER

Page 3

GATE 2018                                                                                            General Aptitude (GA) Set-1
GA 1/2
Q. 1 – Q. 5 carry one mark each.
Q.1  “Going by the _________ that many hands make light work, the school _______ involved
all the students in the task .”

The words that best fill the blanks in the above sentence are

(A) principle, principal (B) principal, principle
(C) principle, principle (D) principal, principal

Q.2  “Her _______ should not be confused with miserliness; she is ever willing to assist those in
need. ”

The word that best fills the blank in the above sentence is

(A) cleanliness (B) punctuality (C) frugality (D) greatness

Q.3  Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many
minutes would it take for 100 machines to make 100 toys?

(A) 1 (B) 7 (C) 100 (D) 700

Q.4  A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m,
respectively. During this process, the rectangle loses 650 m
2
of area. What is the area of the
original rectangle in square meters?

(A) 1125 (B) 2250 (C) 2924 (D) 4500

Q.5  A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the
number, its digits are interchanged. What is the number?

(A) 63 (B) 72 (C) 81 (D) 90

Q. 6 – Q. 10 carry two marks each.

Q.6  For integers ?? , ?? and ?? , what would be the minimum and maximum values respectively of
?? + ?? + ?? if log |?? | + log |?? | + log |?? | = 0?

(A) -3 and 3 (B) -1 and 1 (C) -1 and 3 (D) 1 and 3

GATE 2018                                                                                            General Aptitude (GA) Set-1
GA 2/2
Q.7  Given that ?? and ?? are integers and ?? + ?? 2
?? 3
is odd, which one of the following
statements is correct?

(A) ?? and ?? are both odd (B) ?? and ?? are both even
(C) ?? is even and ?? is odd (D) ?? is odd and ?? is even

Q.8  From the time the front of a train enters a platform, it takes 25 seconds for the back of the
train to leave the platform, while travelling at a constant speed of 54 km/h. At the same
speed, it takes 14 seconds to pass a man running at 9 km/h in the same direction as the
train. What is the length of the train and that of the platform in meters, respectively?

(A) 210 and 140 (B) 162.5 and 187.5
(C) 245 and 130 (D) 175 and 200

Q.9  Which of the following functions describe the graph shown in the below figure?

(A) ?? = ||?? | + 1| - 2 (B) ?? = ||?? | - 1| - 1
(C) ?? = ||?? | + 1| - 1 (D) ?? = ||?? - 1| - 1|

Q.10  Consider the following three statements:
(i) Some roses are red.
(ii) All red flowers fade quickly.

Which of the following statements can be logically inferred from the above statements?

(A) If (i) is true and (ii) is false, then (iii) is false.
(B) If (i) is true and (ii) is false, then (iii) is true.
(C) If (i) and (ii) are true, then (iii) is true.
(D) If (i) and (ii) are false, then (iii) is false.

END OF THE QUESTION PAPER

GATE 2018                                                                                                                                                                         Mechanical Engineering (Set 1)
ME 1/15
Q. 1 – Q. 25 carry one mark each.
Q.1  Four red balls, four green balls and four blue balls are put in a box. Three balls are pulled out
of the box at random one after another without replacement. The probability that all the three
balls are red is
(A) 1/72  (B) 1/55 (C)  1/36 (D)  1/27

Q.2
The rank of the matrix
?
?
?
?
?
?
?
?
?
?
?
? ? ?
? ?
1 3 7
1 1 1
1 1 4
is

(A) 1 (B) 2 (C) 3   (D)  4

Q.3
According to the Mean Value Theorem, for a continuous function () fx in the interval [ , ], ab
there exists a value ? in this interval such that ()
b
a
f x dx ?
?

(A) ( )( ) f b a ? ? (B) ( )( ) f b a ? ?
(C) ( )( ) f a b ? ? (D) 0

Q.4 F
() Fz is a function of the complex variable z x iy ?? given by

?? (?? ) = ?? ?? + ?? ???? (?? ) + ?? ???? (?? ).

For what value of k will () Fz satisfy the Cauchy-Riemann equations?
(A) 0 (B) 1 (C)  1 ? (D)  y

Q.5  A bar of uniform cross section and weighing 100 N is held horizontally using two massless
and inextensible strings S1 and S2 as shown in the figure.

The tensions in the strings are
(A)
1
T = 100 N and
2
T = 0 N (B)
1
T = 0 N   and
2
T = 100 N
(C)
1
T = 75 N   and
2
T = 25 N (D)
1
T = 25 N and
2
T = 75 N
Page 4

GATE 2018                                                                                            General Aptitude (GA) Set-1
GA 1/2
Q. 1 – Q. 5 carry one mark each.
Q.1  “Going by the _________ that many hands make light work, the school _______ involved
all the students in the task .”

The words that best fill the blanks in the above sentence are

(A) principle, principal (B) principal, principle
(C) principle, principle (D) principal, principal

Q.2  “Her _______ should not be confused with miserliness; she is ever willing to assist those in
need. ”

The word that best fills the blank in the above sentence is

(A) cleanliness (B) punctuality (C) frugality (D) greatness

Q.3  Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many
minutes would it take for 100 machines to make 100 toys?

(A) 1 (B) 7 (C) 100 (D) 700

Q.4  A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m,
respectively. During this process, the rectangle loses 650 m
2
of area. What is the area of the
original rectangle in square meters?

(A) 1125 (B) 2250 (C) 2924 (D) 4500

Q.5  A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the
number, its digits are interchanged. What is the number?

(A) 63 (B) 72 (C) 81 (D) 90

Q. 6 – Q. 10 carry two marks each.

Q.6  For integers ?? , ?? and ?? , what would be the minimum and maximum values respectively of
?? + ?? + ?? if log |?? | + log |?? | + log |?? | = 0?

(A) -3 and 3 (B) -1 and 1 (C) -1 and 3 (D) 1 and 3

GATE 2018                                                                                            General Aptitude (GA) Set-1
GA 2/2
Q.7  Given that ?? and ?? are integers and ?? + ?? 2
?? 3
is odd, which one of the following
statements is correct?

(A) ?? and ?? are both odd (B) ?? and ?? are both even
(C) ?? is even and ?? is odd (D) ?? is odd and ?? is even

Q.8  From the time the front of a train enters a platform, it takes 25 seconds for the back of the
train to leave the platform, while travelling at a constant speed of 54 km/h. At the same
speed, it takes 14 seconds to pass a man running at 9 km/h in the same direction as the
train. What is the length of the train and that of the platform in meters, respectively?

(A) 210 and 140 (B) 162.5 and 187.5
(C) 245 and 130 (D) 175 and 200

Q.9  Which of the following functions describe the graph shown in the below figure?

(A) ?? = ||?? | + 1| - 2 (B) ?? = ||?? | - 1| - 1
(C) ?? = ||?? | + 1| - 1 (D) ?? = ||?? - 1| - 1|

Q.10  Consider the following three statements:
(i) Some roses are red.
(ii) All red flowers fade quickly.

Which of the following statements can be logically inferred from the above statements?

(A) If (i) is true and (ii) is false, then (iii) is false.
(B) If (i) is true and (ii) is false, then (iii) is true.
(C) If (i) and (ii) are true, then (iii) is true.
(D) If (i) and (ii) are false, then (iii) is false.

END OF THE QUESTION PAPER

GATE 2018                                                                                                                                                                         Mechanical Engineering (Set 1)
ME 1/15
Q. 1 – Q. 25 carry one mark each.
Q.1  Four red balls, four green balls and four blue balls are put in a box. Three balls are pulled out
of the box at random one after another without replacement. The probability that all the three
balls are red is
(A) 1/72  (B) 1/55 (C)  1/36 (D)  1/27

Q.2
The rank of the matrix
?
?
?
?
?
?
?
?
?
?
?
? ? ?
? ?
1 3 7
1 1 1
1 1 4
is

(A) 1 (B) 2 (C) 3   (D)  4

Q.3
According to the Mean Value Theorem, for a continuous function () fx in the interval [ , ], ab
there exists a value ? in this interval such that ()
b
a
f x dx ?
?

(A) ( )( ) f b a ? ? (B) ( )( ) f b a ? ?
(C) ( )( ) f a b ? ? (D) 0

Q.4 F
() Fz is a function of the complex variable z x iy ?? given by

?? (?? ) = ?? ?? + ?? ???? (?? ) + ?? ???? (?? ).

For what value of k will () Fz satisfy the Cauchy-Riemann equations?
(A) 0 (B) 1 (C)  1 ? (D)  y

Q.5  A bar of uniform cross section and weighing 100 N is held horizontally using two massless
and inextensible strings S1 and S2 as shown in the figure.

The tensions in the strings are
(A)
1
T = 100 N and
2
T = 0 N (B)
1
T = 0 N   and
2
T = 100 N
(C)
1
T = 75 N   and
2
T = 25 N (D)
1
T = 25 N and
2
T = 75 N
GATE 2018                                                                                                                                                                         Mechanical Engineering (Set 1)
ME 2/15

Q.6
If
1
? and
3
? are the algebraically largest and smallest principal stresses respectively, the
value of the maximum shear stress is
(A)
?
1
+ ?
3
2

(B)
?
1
- ?
3
2

(C)  v
?
1
+ ?
3
2
(D)  v
?
1
- ?
3
2

Q.7  The equation of motion for a spring-mass system excited by a harmonic force is

cos( ), M x Kx F t ? ??

where M is the mass, K is the spring stiffness, F is the force amplitude and ? is the angular
frequency of excitation. Resonance occurs when ? is equal to
(A)
M
K
(B)
1
2
K
M ?
(C)  2
K
M
? (D)
K
M

Q.8  For an Oldham coupling used between two shafts, which among the following statements
are correct?
I. Torsional load is transferred along shaft axis.
II. A velocity ratio of 1:2 between shafts is obtained without using gears.
III. Bending load is transferred transverse to shaft axis.
IV. Rotation is transferred along shaft axis.

(A) I and III (B) I and IV (C)  II and III (D)  II and IV

Q.9
For a two-dimensional incompressible flow field given by ? ? j y i x A u
ˆ ˆ
? ?
?
, where 0 ? A ,
which one of the following statements is FALSE?
(A) It satisfies continuity equation.
(B) It is unidirectional when 0 ? x and ? ? y .
(C) Its streamlines are given by y x ? .
(D) It is irrotational.

Q.10  Which one of the following statements is correct for a superheated vapour?
(A) Its pressure is less than the saturation pressure at a given temperature.
(B) Its temperature is less than the saturation temperature at a given pressure.
(C) Its volume is less than the volume of the saturated vapour at a given temperature.
(D) Its enthalpy is less than the enthalpy of the saturated vapour at a given pressure.

Page 5

GATE 2018                                                                                            General Aptitude (GA) Set-1
GA 1/2
Q. 1 – Q. 5 carry one mark each.
Q.1  “Going by the _________ that many hands make light work, the school _______ involved
all the students in the task .”

The words that best fill the blanks in the above sentence are

(A) principle, principal (B) principal, principle
(C) principle, principle (D) principal, principal

Q.2  “Her _______ should not be confused with miserliness; she is ever willing to assist those in
need. ”

The word that best fills the blank in the above sentence is

(A) cleanliness (B) punctuality (C) frugality (D) greatness

Q.3  Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many
minutes would it take for 100 machines to make 100 toys?

(A) 1 (B) 7 (C) 100 (D) 700

Q.4  A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m,
respectively. During this process, the rectangle loses 650 m
2
of area. What is the area of the
original rectangle in square meters?

(A) 1125 (B) 2250 (C) 2924 (D) 4500

Q.5  A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the
number, its digits are interchanged. What is the number?

(A) 63 (B) 72 (C) 81 (D) 90

Q. 6 – Q. 10 carry two marks each.

Q.6  For integers ?? , ?? and ?? , what would be the minimum and maximum values respectively of
?? + ?? + ?? if log |?? | + log |?? | + log |?? | = 0?

(A) -3 and 3 (B) -1 and 1 (C) -1 and 3 (D) 1 and 3

GATE 2018                                                                                            General Aptitude (GA) Set-1
GA 2/2
Q.7  Given that ?? and ?? are integers and ?? + ?? 2
?? 3
is odd, which one of the following
statements is correct?

(A) ?? and ?? are both odd (B) ?? and ?? are both even
(C) ?? is even and ?? is odd (D) ?? is odd and ?? is even

Q.8  From the time the front of a train enters a platform, it takes 25 seconds for the back of the
train to leave the platform, while travelling at a constant speed of 54 km/h. At the same
speed, it takes 14 seconds to pass a man running at 9 km/h in the same direction as the
train. What is the length of the train and that of the platform in meters, respectively?

(A) 210 and 140 (B) 162.5 and 187.5
(C) 245 and 130 (D) 175 and 200

Q.9  Which of the following functions describe the graph shown in the below figure?

(A) ?? = ||?? | + 1| - 2 (B) ?? = ||?? | - 1| - 1
(C) ?? = ||?? | + 1| - 1 (D) ?? = ||?? - 1| - 1|

Q.10  Consider the following three statements:
(i) Some roses are red.
(ii) All red flowers fade quickly.

Which of the following statements can be logically inferred from the above statements?

(A) If (i) is true and (ii) is false, then (iii) is false.
(B) If (i) is true and (ii) is false, then (iii) is true.
(C) If (i) and (ii) are true, then (iii) is true.
(D) If (i) and (ii) are false, then (iii) is false.

END OF THE QUESTION PAPER

GATE 2018                                                                                                                                                                         Mechanical Engineering (Set 1)
ME 1/15
Q. 1 – Q. 25 carry one mark each.
Q.1  Four red balls, four green balls and four blue balls are put in a box. Three balls are pulled out
of the box at random one after another without replacement. The probability that all the three
balls are red is
(A) 1/72  (B) 1/55 (C)  1/36 (D)  1/27

Q.2
The rank of the matrix
?
?
?
?
?
?
?
?
?
?
?
? ? ?
? ?
1 3 7
1 1 1
1 1 4
is

(A) 1 (B) 2 (C) 3   (D)  4

Q.3
According to the Mean Value Theorem, for a continuous function () fx in the interval [ , ], ab
there exists a value ? in this interval such that ()
b
a
f x dx ?
?

(A) ( )( ) f b a ? ? (B) ( )( ) f b a ? ?
(C) ( )( ) f a b ? ? (D) 0

Q.4 F
() Fz is a function of the complex variable z x iy ?? given by

?? (?? ) = ?? ?? + ?? ???? (?? ) + ?? ???? (?? ).

For what value of k will () Fz satisfy the Cauchy-Riemann equations?
(A) 0 (B) 1 (C)  1 ? (D)  y

Q.5  A bar of uniform cross section and weighing 100 N is held horizontally using two massless
and inextensible strings S1 and S2 as shown in the figure.

The tensions in the strings are
(A)
1
T = 100 N and
2
T = 0 N (B)
1
T = 0 N   and
2
T = 100 N
(C)
1
T = 75 N   and
2
T = 25 N (D)
1
T = 25 N and
2
T = 75 N
GATE 2018                                                                                                                                                                         Mechanical Engineering (Set 1)
ME 2/15

Q.6
If
1
? and
3
? are the algebraically largest and smallest principal stresses respectively, the
value of the maximum shear stress is
(A)
?
1
+ ?
3
2

(B)
?
1
- ?
3
2

(C)  v
?
1
+ ?
3
2
(D)  v
?
1
- ?
3
2

Q.7  The equation of motion for a spring-mass system excited by a harmonic force is

cos( ), M x Kx F t ? ??

where M is the mass, K is the spring stiffness, F is the force amplitude and ? is the angular
frequency of excitation. Resonance occurs when ? is equal to
(A)
M
K
(B)
1
2
K
M ?
(C)  2
K
M
? (D)
K
M

Q.8  For an Oldham coupling used between two shafts, which among the following statements
are correct?
I. Torsional load is transferred along shaft axis.
II. A velocity ratio of 1:2 between shafts is obtained without using gears.
III. Bending load is transferred transverse to shaft axis.
IV. Rotation is transferred along shaft axis.

(A) I and III (B) I and IV (C)  II and III (D)  II and IV

Q.9
For a two-dimensional incompressible flow field given by ? ? j y i x A u
ˆ ˆ
? ?
?
, where 0 ? A ,
which one of the following statements is FALSE?
(A) It satisfies continuity equation.
(B) It is unidirectional when 0 ? x and ? ? y .
(C) Its streamlines are given by y x ? .
(D) It is irrotational.

Q.10  Which one of the following statements is correct for a superheated vapour?
(A) Its pressure is less than the saturation pressure at a given temperature.
(B) Its temperature is less than the saturation temperature at a given pressure.
(C) Its volume is less than the volume of the saturated vapour at a given temperature.
(D) Its enthalpy is less than the enthalpy of the saturated vapour at a given pressure.

GATE 2018                                                                                                                                                                         Mechanical Engineering (Set 1)
ME 3/15
Q.11  In a linearly hardening plastic material, the true stress beyond initial yielding
(A) increases linearly with the true strain
(B) decreases linearly with the true strain
(C) first increases linearly and then decreases linearly with the true strain
(D) remains constant

Q.12  The type of weld represented by the shaded region in the figure is

(A) groove  (B) spot  (C)  fillet  (D)  plug

Q.13
Using the Taylor’s tool life equation with exponent 0.5, n ? if the cutting speed is reduced
by 50%, the ratio of new tool life to original tool life is
(A)  4 (B)  2 (C)  1 (D)  0.5

Q.14  A grinding ratio of 200 implies that the
(A) grinding wheel wears 200 times the volume of the material removed
(B) grinding wheel wears 0.005 times the volume of the material removed
(C) aspect ratio of abrasive particles used in the grinding wheel is 200
(D) ratio of volume of abrasive particle to that of grinding wheel is 200

Q.15  Interpolator in a CNC machine
(A) controls spindle speed
(B) coordinates axes movements
(C) operates  tool changer
(D) commands canned cycle

Q.16  The time series forecasting method that gives equal weightage to each of the m most recent
observations is
(A) Moving average method (B) Exponential smoothing with linear trend
(C) Triple Exponential smoothing  (D) Kalman Filter

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## Mock Test Series - Mechanical Engineering (ME) for GATE 2020

47 docs|223 tests

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