Mechanical Engineering - (ME) 2019 GATE Paper with solution - Set - 1

# Mechanical Engineering - (ME) 2019 GATE Paper with solution - Set - 1 - GATE Mechanical (ME) 2024 Mock Test Series

``` Page 1

GENERAL APTITUDE
01. The sum and product of two integers are 26 and 165 respectively. The difference between these
two integers is ____.
(A)3 (B)6
(C)2 (D)4
01. Ans: (D)
Sol:  Assume two integers are a and b
a + b = 26
ab = 165
we have (a+b)
2
= (a – b)
2
+ 4ab
(26)
2
= (a – b)
2
+ 4 ? 165
(a – b)
2
= 676 – 660 = 16
(a – b) = 4 16 ?
?The difference between these two integers = 4
02. John Thomas, an ––––––– writer, passed away in 2018.
(A) dominant (B)prominent
(C)eminent (D)imminent
02. Ans: (C)
Sol: Eminent means successful, well known and respected.
03. –––––––– I permitted him to leave, I wouldn’t have had any problem with him being absent, _____
I?

Page 2

GENERAL APTITUDE
01. The sum and product of two integers are 26 and 165 respectively. The difference between these
two integers is ____.
(A)3 (B)6
(C)2 (D)4
01. Ans: (D)
Sol:  Assume two integers are a and b
a + b = 26
ab = 165
we have (a+b)
2
= (a – b)
2
+ 4ab
(26)
2
= (a – b)
2
+ 4 ? 165
(a – b)
2
= 676 – 660 = 16
(a – b) = 4 16 ?
?The difference between these two integers = 4
02. John Thomas, an ––––––– writer, passed away in 2018.
(A) dominant (B)prominent
(C)eminent (D)imminent
02. Ans: (C)
Sol: Eminent means successful, well known and respected.
03. –––––––– I permitted him to leave, I wouldn’t have had any problem with him being absent, _____
I?

03. Ans: (D)
Sol: Conditional tense Type 3 (formula)
3
, would + have + V
3

In question tag, if the statement is negative, the question tag should be positive i.e. wouldn’t have

04. The minister avoided any mention of the issue of women’s reservation in the private in the private
sector. He was accused of ______ the issue.
(A) tying      (B) collaring
(C) skirting     (D) belting
04. Ans: (C)
Sol:  Skirting means to avoid (something) especially because it is difficult or will cause problems.

05. A worker noticed that the hour hand on the factory clock had moved by 225 degrees during he
stay at the factory. For how long did she stay in the factory?
(A) 4 hours and 15 mins    (B) 3.75 hours
(C) 8.5 hours     (D) 7.5 hours
05. Ans: (D)
Sol:  The worker stay in the factory  = hrs 5 . 7
2
3
3 3 ? ? ?

0
o

12
3 (90
o
)
6
180
o

(270
o
) 9
8
7

Page 3

GENERAL APTITUDE
01. The sum and product of two integers are 26 and 165 respectively. The difference between these
two integers is ____.
(A)3 (B)6
(C)2 (D)4
01. Ans: (D)
Sol:  Assume two integers are a and b
a + b = 26
ab = 165
we have (a+b)
2
= (a – b)
2
+ 4ab
(26)
2
= (a – b)
2
+ 4 ? 165
(a – b)
2
= 676 – 660 = 16
(a – b) = 4 16 ?
?The difference between these two integers = 4
02. John Thomas, an ––––––– writer, passed away in 2018.
(A) dominant (B)prominent
(C)eminent (D)imminent
02. Ans: (C)
Sol: Eminent means successful, well known and respected.
03. –––––––– I permitted him to leave, I wouldn’t have had any problem with him being absent, _____
I?

03. Ans: (D)
Sol: Conditional tense Type 3 (formula)
3
, would + have + V
3

In question tag, if the statement is negative, the question tag should be positive i.e. wouldn’t have

04. The minister avoided any mention of the issue of women’s reservation in the private in the private
sector. He was accused of ______ the issue.
(A) tying      (B) collaring
(C) skirting     (D) belting
04. Ans: (C)
Sol:  Skirting means to avoid (something) especially because it is difficult or will cause problems.

05. A worker noticed that the hour hand on the factory clock had moved by 225 degrees during he
stay at the factory. For how long did she stay in the factory?
(A) 4 hours and 15 mins    (B) 3.75 hours
(C) 8.5 hours     (D) 7.5 hours
05. Ans: (D)
Sol:  The worker stay in the factory  = hrs 5 . 7
2
3
3 3 ? ? ?

0
o

12
3 (90
o
)
6
180
o

(270
o
) 9
8
7

Percentage share of skills in 2010
06. A firm hires employees at five different skill levels P, Q, R, S, T. The shares of employment at
these skill levels of total employment in 2010 is given in the pie chart as shown. There were a total
of 600 employees in 2010 and the total employment increased by 15% from 2010 to 2016. The
total employment at skill levels P, Q and R remained unchanged during this period. If the
employment at skill level S increased by 40% from 2010 to 2016, how many employees were there
at skill level T in 2016?
(A) 35
(B) 60
(C) 72
(D) 30
06. Ans: (B)
Sol: The total employment in 2010 at all skill level = 600
Total employment increased from 2010 to 2016
90 600
100
15
600 of % 15 ? ? ? ?
?The employment increased from 2010 to 2016 at S and T skill level = 90
(The total employment at skill levels P, Q and R remained unchanged during this period)
The employment at skill level ‘S’ in 2010
150 6 25 ? ? ?     ?? 6 % 1 , 600 % 100 ? ? ?
The employment at skill level S increased by 40 % from 2010 to 2016 = 40% of 150
60 150
100
40
? ?
Increased number of employees at skill level T from 2011 to 2016
= 90 – 60 = 30
Total employee at level T in 2016 =  600 ? 5% + 30
= 30 + 30 = 60
Page 4

GENERAL APTITUDE
01. The sum and product of two integers are 26 and 165 respectively. The difference between these
two integers is ____.
(A)3 (B)6
(C)2 (D)4
01. Ans: (D)
Sol:  Assume two integers are a and b
a + b = 26
ab = 165
we have (a+b)
2
= (a – b)
2
+ 4ab
(26)
2
= (a – b)
2
+ 4 ? 165
(a – b)
2
= 676 – 660 = 16
(a – b) = 4 16 ?
?The difference between these two integers = 4
02. John Thomas, an ––––––– writer, passed away in 2018.
(A) dominant (B)prominent
(C)eminent (D)imminent
02. Ans: (C)
Sol: Eminent means successful, well known and respected.
03. –––––––– I permitted him to leave, I wouldn’t have had any problem with him being absent, _____
I?

03. Ans: (D)
Sol: Conditional tense Type 3 (formula)
3
, would + have + V
3

In question tag, if the statement is negative, the question tag should be positive i.e. wouldn’t have

04. The minister avoided any mention of the issue of women’s reservation in the private in the private
sector. He was accused of ______ the issue.
(A) tying      (B) collaring
(C) skirting     (D) belting
04. Ans: (C)
Sol:  Skirting means to avoid (something) especially because it is difficult or will cause problems.

05. A worker noticed that the hour hand on the factory clock had moved by 225 degrees during he
stay at the factory. For how long did she stay in the factory?
(A) 4 hours and 15 mins    (B) 3.75 hours
(C) 8.5 hours     (D) 7.5 hours
05. Ans: (D)
Sol:  The worker stay in the factory  = hrs 5 . 7
2
3
3 3 ? ? ?

0
o

12
3 (90
o
)
6
180
o

(270
o
) 9
8
7

Percentage share of skills in 2010
06. A firm hires employees at five different skill levels P, Q, R, S, T. The shares of employment at
these skill levels of total employment in 2010 is given in the pie chart as shown. There were a total
of 600 employees in 2010 and the total employment increased by 15% from 2010 to 2016. The
total employment at skill levels P, Q and R remained unchanged during this period. If the
employment at skill level S increased by 40% from 2010 to 2016, how many employees were there
at skill level T in 2016?
(A) 35
(B) 60
(C) 72
(D) 30
06. Ans: (B)
Sol: The total employment in 2010 at all skill level = 600
Total employment increased from 2010 to 2016
90 600
100
15
600 of % 15 ? ? ? ?
?The employment increased from 2010 to 2016 at S and T skill level = 90
(The total employment at skill levels P, Q and R remained unchanged during this period)
The employment at skill level ‘S’ in 2010
150 6 25 ? ? ?     ?? 6 % 1 , 600 % 100 ? ? ?
The employment at skill level S increased by 40 % from 2010 to 2016 = 40% of 150
60 150
100
40
? ?
Increased number of employees at skill level T from 2011 to 2016
= 90 – 60 = 30
Total employee at level T in 2016 =  600 ? 5% + 30
= 30 + 30 = 60

07. A person divided an amount of Rs. 100,000 into two parts and invested in two different schemes.
In one he got 10% profit and in the other he got 12%. If the profit percentages are interchanged
with these investments he would have got Rs.120 less. Find the ratio between his investments in
the two schemes.
(A)47 : 53 (B)9 : 16
(C)11 : 14 (D)37 : 63
07. Ans: (A)
Sol: Total investment Rs. 100,000/-
Case-I
10% of x + 12% of (100,000 – x)
= 12% of 100,000 – 2% of x
Case-II
(If profit percentages are interchanged 12% of x + 10% of (100,000 – x)
10% of 100,000 + 2% of x
The difference between case-I and Case-II = 120
12% of 100,000 – 2% of x – (10% of 100,000 + 2% of x) = 120
2% of 100,000 – 4% of x = 120
2000 – 4% of x = 120
4% of x = 1880
000 , 47
4
100 1880
x ?
?
?
The amount invested in first scheme = Rs. 47,000/-
The amount invested in 2
nd
scheme = Rs. 100,000 – 47,000 = 53,000
53 : 47
53
47
53000
47000
? ? ?
First scheme
Investment = x
Profit = 10%( ? )
Second scheme
Investment = x
Profit = 10%( ? )
Page 5

GENERAL APTITUDE
01. The sum and product of two integers are 26 and 165 respectively. The difference between these
two integers is ____.
(A)3 (B)6
(C)2 (D)4
01. Ans: (D)
Sol:  Assume two integers are a and b
a + b = 26
ab = 165
we have (a+b)
2
= (a – b)
2
+ 4ab
(26)
2
= (a – b)
2
+ 4 ? 165
(a – b)
2
= 676 – 660 = 16
(a – b) = 4 16 ?
?The difference between these two integers = 4
02. John Thomas, an ––––––– writer, passed away in 2018.
(A) dominant (B)prominent
(C)eminent (D)imminent
02. Ans: (C)
Sol: Eminent means successful, well known and respected.
03. –––––––– I permitted him to leave, I wouldn’t have had any problem with him being absent, _____
I?

03. Ans: (D)
Sol: Conditional tense Type 3 (formula)
3
, would + have + V
3

In question tag, if the statement is negative, the question tag should be positive i.e. wouldn’t have

04. The minister avoided any mention of the issue of women’s reservation in the private in the private
sector. He was accused of ______ the issue.
(A) tying      (B) collaring
(C) skirting     (D) belting
04. Ans: (C)
Sol:  Skirting means to avoid (something) especially because it is difficult or will cause problems.

05. A worker noticed that the hour hand on the factory clock had moved by 225 degrees during he
stay at the factory. For how long did she stay in the factory?
(A) 4 hours and 15 mins    (B) 3.75 hours
(C) 8.5 hours     (D) 7.5 hours
05. Ans: (D)
Sol:  The worker stay in the factory  = hrs 5 . 7
2
3
3 3 ? ? ?

0
o

12
3 (90
o
)
6
180
o

(270
o
) 9
8
7

Percentage share of skills in 2010
06. A firm hires employees at five different skill levels P, Q, R, S, T. The shares of employment at
these skill levels of total employment in 2010 is given in the pie chart as shown. There were a total
of 600 employees in 2010 and the total employment increased by 15% from 2010 to 2016. The
total employment at skill levels P, Q and R remained unchanged during this period. If the
employment at skill level S increased by 40% from 2010 to 2016, how many employees were there
at skill level T in 2016?
(A) 35
(B) 60
(C) 72
(D) 30
06. Ans: (B)
Sol: The total employment in 2010 at all skill level = 600
Total employment increased from 2010 to 2016
90 600
100
15
600 of % 15 ? ? ? ?
?The employment increased from 2010 to 2016 at S and T skill level = 90
(The total employment at skill levels P, Q and R remained unchanged during this period)
The employment at skill level ‘S’ in 2010
150 6 25 ? ? ?     ?? 6 % 1 , 600 % 100 ? ? ?
The employment at skill level S increased by 40 % from 2010 to 2016 = 40% of 150
60 150
100
40
? ?
Increased number of employees at skill level T from 2011 to 2016
= 90 – 60 = 30
Total employee at level T in 2016 =  600 ? 5% + 30
= 30 + 30 = 60

07. A person divided an amount of Rs. 100,000 into two parts and invested in two different schemes.
In one he got 10% profit and in the other he got 12%. If the profit percentages are interchanged
with these investments he would have got Rs.120 less. Find the ratio between his investments in
the two schemes.
(A)47 : 53 (B)9 : 16
(C)11 : 14 (D)37 : 63
07. Ans: (A)
Sol: Total investment Rs. 100,000/-
Case-I
10% of x + 12% of (100,000 – x)
= 12% of 100,000 – 2% of x
Case-II
(If profit percentages are interchanged 12% of x + 10% of (100,000 – x)
10% of 100,000 + 2% of x
The difference between case-I and Case-II = 120
12% of 100,000 – 2% of x – (10% of 100,000 + 2% of x) = 120
2% of 100,000 – 4% of x = 120
2000 – 4% of x = 120
4% of x = 1880
000 , 47
4
100 1880
x ?
?
?
The amount invested in first scheme = Rs. 47,000/-
The amount invested in 2
nd
scheme = Rs. 100,000 – 47,000 = 53,000
53 : 47
53
47
53000
47000
? ? ?
First scheme
Investment = x
Profit = 10%( ? )
Second scheme
Investment = x
Profit = 10%( ? )
08. M and N had four children P, Q, R and S. Of them, only P and R were married. They had children
X and Y respectively. If Y is a legitimate child of W, which one of the following statements is
necessarily FALSE?
(A)W is the wife of P (B)W is the wife of R
(C) M is the grandmother of Y (D) R is the father of Y
08. Ans: (A)
Sol:
From given, data, the following blood relations tree can be formed
From the given information, R and W are the married couples so, option ‘1’ is necessarily
FALSE. Remaining all other options are may be true.
?option ‘1’ is correct
09. Under a certain legal system, prisoners are allowed to make one statement. If their statement turns
out to be true then they are hanged. If the statement turns out to be false then they are shot. One
prisoner made a statement and the judge had no option but to set him free. Which one of the
following could be that statement?
(A) I did not commit the crime (B) I will be shot
(C) You committed the crime (D) I committed the crime
09. Ans: (B)
Sol: (I will be shot) The statement may be either way.
M
N
P
Q R
S
(W
)
X
Y
?

```

## GATE Mechanical (ME) 2024 Mock Test Series

27 docs|243 tests

## FAQs on Mechanical Engineering - (ME) 2019 GATE Paper with solution - Set - 1 - GATE Mechanical (ME) 2024 Mock Test Series

 1. What is the importance of solving previous year GATE papers for Mechanical Engineering? Ans. Solving previous year GATE papers for Mechanical Engineering is important because it helps in understanding the exam pattern, types of questions asked, and the level of difficulty. It familiarizes candidates with the format of the exam and allows them to practice time management. Additionally, solving previous year papers provides an opportunity to identify weak areas and work on improving them.
 2. How can I effectively utilize the GATE solution paper for Mechanical Engineering? Ans. To effectively utilize the GATE solution paper for Mechanical Engineering, candidates should first attempt the questions on their own without referring to the solutions. After attempting, they can refer to the solutions to check their answers and understand the correct approach to solving the questions. It is important to analyze the solutions thoroughly, understand the concepts involved, and learn from any mistakes made during the attempt.
 3. Are the GATE papers for Mechanical Engineering available online? Ans. Yes, the GATE papers for Mechanical Engineering are available online. The official website of the GATE conducting body provides access to previous year papers. Additionally, various coaching institutes and educational websites also offer GATE papers for practice. These papers can be downloaded in PDF format and are easily accessible for candidates preparing for the exam.
 4. Can I solely rely on solving previous year GATE papers for Mechanical Engineering to crack the exam? Ans. While solving previous year GATE papers for Mechanical Engineering is an essential part of exam preparation, it should not be the sole method relied upon to crack the exam. GATE papers provide practice and help in understanding the exam pattern, but they should be supplemented with comprehensive study material, textbooks, and mock tests. It is important to have a thorough understanding of the subject concepts and practice a wide range of questions to ensure success in the GATE exam.
 5. Are the solutions provided for the GATE Mechanical Engineering papers accurate and reliable? Ans. The solutions provided for the GATE Mechanical Engineering papers are generally accurate and reliable. However, it is advisable to cross-verify the solutions with other reference books or consult subject experts to ensure complete accuracy. Sometimes, there may be multiple approaches or variations in the solutions, so it is important to understand the underlying concepts and choose the most appropriate method.

## GATE Mechanical (ME) 2024 Mock Test Series

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