Electrical Engineering (EE) 2023 GATE Paper with Solution | GATE, ISRO & IES/ESE Previous Year Solved Papers - Mechanical Engineering PDF Download

 Page 1


 
 
 
 
 
        
 
..Q.1 to Q.5 Carry One Mark Each.. 
Question 1  Verbal Ability (Sentence Completion) 
 Rafi told Mary “I am thinking of watching a film this weekend”. The following reports the above statement 
in indirect speech.  
 Rafi told Mary that he ________ of watching a film this weekend. 
 (A) thought (B) is thinking  
 (C) am thinking (D) was thinking 
Ans. (D) 
Sol. Rafi told Mary that he was thinking of watching a film this weekend. 
 Hence, the correct option is (D). 
Question 2 Verbal ability (Idioms & Phrases) 
 Permit: ______ :: Enforce : Relax. (By word meaning) 
 (A) Allow  (B)  Forbid  
 (C)  License (D)  Reinforce  
Ans. (B) 
Sol. Given : 
 Enforce is related to relax in a special manner, enforce and relax are opposite in meaning. In the same way 
of relationship opposite meaning of permit will be forbid. 
 Hence, the correct option is (B). 
Question 3 Numerical Ability (Probability and Statistics) 
 Given a fair six - faced dice where the faces are labelled 1, 2, 3, 4, 5 and 6. What is the probability of 
getting a “1” on the first roll of dice and the “4” on the second roll? 
 (A) 
1
36
 (B) 
1
6
  
 (C) 
5
6
 (D) 
1
3
 
Ans. (A) 
Sol. Probability of getting “1” on 1
st
 roll 
1
6
? 
 Probability of getting “4” on 2
nd
 roll 
1
6
? 
 Since, both events are independent  
 Probability of getting “1” on first roll and the “4” on the second roll 
1 1 1
6 6 36
? ? ? 
 Hence, the correct option is (A). 
Page 2


 
 
 
 
 
        
 
..Q.1 to Q.5 Carry One Mark Each.. 
Question 1  Verbal Ability (Sentence Completion) 
 Rafi told Mary “I am thinking of watching a film this weekend”. The following reports the above statement 
in indirect speech.  
 Rafi told Mary that he ________ of watching a film this weekend. 
 (A) thought (B) is thinking  
 (C) am thinking (D) was thinking 
Ans. (D) 
Sol. Rafi told Mary that he was thinking of watching a film this weekend. 
 Hence, the correct option is (D). 
Question 2 Verbal ability (Idioms & Phrases) 
 Permit: ______ :: Enforce : Relax. (By word meaning) 
 (A) Allow  (B)  Forbid  
 (C)  License (D)  Reinforce  
Ans. (B) 
Sol. Given : 
 Enforce is related to relax in a special manner, enforce and relax are opposite in meaning. In the same way 
of relationship opposite meaning of permit will be forbid. 
 Hence, the correct option is (B). 
Question 3 Numerical Ability (Probability and Statistics) 
 Given a fair six - faced dice where the faces are labelled 1, 2, 3, 4, 5 and 6. What is the probability of 
getting a “1” on the first roll of dice and the “4” on the second roll? 
 (A) 
1
36
 (B) 
1
6
  
 (C) 
5
6
 (D) 
1
3
 
Ans. (A) 
Sol. Probability of getting “1” on 1
st
 roll 
1
6
? 
 Probability of getting “4” on 2
nd
 roll 
1
6
? 
 Since, both events are independent  
 Probability of getting “1” on first roll and the “4” on the second roll 
1 1 1
6 6 36
? ? ? 
 Hence, the correct option is (A). 
 
 
 
 
 
        
Question 4 Verbal ability (case studies) 
 A recent survey shows that 65% of tobacco users were advised to stop consuming tobacco. The survey 
also shows that 3 out of 10 tobacco users attempted to stop using tobacco.  
 Based only on the interpretation of the above passage, which one of the following options can be logically 
inferred with certainty? 
 (A) A majority of tobacco users who were advised to stop consuming tobacco made an attempt to do so. 
 (B) A majority of tobacco users who were advised to stop consuming tobacco did not attempt to do so. 
 (C) Approximately 30% of the tobacco users successfully stopped consuming tobacco. 
 (D) Approximately 65% of tobacco users successfully stopped consuming tobacco. 
Ans. (B) 
Sol. Given :  
 A recent survey shows that 65% of tobacco users were advised to stop consuming tobacco. The survey 
also shows that 3 out of 10 tobacco users attempted to stop using tobacco. 
 Option (C) cannot be inferred with certainty, as according to given information 3 out of 10 numerical 
tobacco users attempted to stop using tobacco, which is not a majority.  
 Option (A) and option (D) cannot be inferred with certainty, as there is no information about how much 
tobacco users successfully stop consuming tobacco.  
 Option (B) can be inferred with certainty, as 3 out 10 tobacco users attempted to stop using tobacco; which 
means 7 users did not attempted to do this, and 7 out of 10 is a majority.  
 Hence, the correct option is (B). 
Question 5 Logical Reasoning (Numerical Computation) 
 How many triangles are present in the given figure?  
 
 (A)  12 (B) 16 
 (C) 20 (D)  24 
Ans. (C) 
Sol. Given : 
 Number of triangles are present in the figure, 
 
 In rectangle ABCD, number of triangle are 8.  
 The triangles are, OAB, OBC, OCD, ODA, ADC, DCB, CBA, BAD. 
A n B
D C p
m
s
t
O
r
u
q
Page 3


 
 
 
 
 
        
 
..Q.1 to Q.5 Carry One Mark Each.. 
Question 1  Verbal Ability (Sentence Completion) 
 Rafi told Mary “I am thinking of watching a film this weekend”. The following reports the above statement 
in indirect speech.  
 Rafi told Mary that he ________ of watching a film this weekend. 
 (A) thought (B) is thinking  
 (C) am thinking (D) was thinking 
Ans. (D) 
Sol. Rafi told Mary that he was thinking of watching a film this weekend. 
 Hence, the correct option is (D). 
Question 2 Verbal ability (Idioms & Phrases) 
 Permit: ______ :: Enforce : Relax. (By word meaning) 
 (A) Allow  (B)  Forbid  
 (C)  License (D)  Reinforce  
Ans. (B) 
Sol. Given : 
 Enforce is related to relax in a special manner, enforce and relax are opposite in meaning. In the same way 
of relationship opposite meaning of permit will be forbid. 
 Hence, the correct option is (B). 
Question 3 Numerical Ability (Probability and Statistics) 
 Given a fair six - faced dice where the faces are labelled 1, 2, 3, 4, 5 and 6. What is the probability of 
getting a “1” on the first roll of dice and the “4” on the second roll? 
 (A) 
1
36
 (B) 
1
6
  
 (C) 
5
6
 (D) 
1
3
 
Ans. (A) 
Sol. Probability of getting “1” on 1
st
 roll 
1
6
? 
 Probability of getting “4” on 2
nd
 roll 
1
6
? 
 Since, both events are independent  
 Probability of getting “1” on first roll and the “4” on the second roll 
1 1 1
6 6 36
? ? ? 
 Hence, the correct option is (A). 
 
 
 
 
 
        
Question 4 Verbal ability (case studies) 
 A recent survey shows that 65% of tobacco users were advised to stop consuming tobacco. The survey 
also shows that 3 out of 10 tobacco users attempted to stop using tobacco.  
 Based only on the interpretation of the above passage, which one of the following options can be logically 
inferred with certainty? 
 (A) A majority of tobacco users who were advised to stop consuming tobacco made an attempt to do so. 
 (B) A majority of tobacco users who were advised to stop consuming tobacco did not attempt to do so. 
 (C) Approximately 30% of the tobacco users successfully stopped consuming tobacco. 
 (D) Approximately 65% of tobacco users successfully stopped consuming tobacco. 
Ans. (B) 
Sol. Given :  
 A recent survey shows that 65% of tobacco users were advised to stop consuming tobacco. The survey 
also shows that 3 out of 10 tobacco users attempted to stop using tobacco. 
 Option (C) cannot be inferred with certainty, as according to given information 3 out of 10 numerical 
tobacco users attempted to stop using tobacco, which is not a majority.  
 Option (A) and option (D) cannot be inferred with certainty, as there is no information about how much 
tobacco users successfully stop consuming tobacco.  
 Option (B) can be inferred with certainty, as 3 out 10 tobacco users attempted to stop using tobacco; which 
means 7 users did not attempted to do this, and 7 out of 10 is a majority.  
 Hence, the correct option is (B). 
Question 5 Logical Reasoning (Numerical Computation) 
 How many triangles are present in the given figure?  
 
 (A)  12 (B) 16 
 (C) 20 (D)  24 
Ans. (C) 
Sol. Given : 
 Number of triangles are present in the figure, 
 
 In rectangle ABCD, number of triangle are 8.  
 The triangles are, OAB, OBC, OCD, ODA, ADC, DCB, CBA, BAD. 
A n B
D C p
m
s
t
O
r
u
q
 
 
 
 
 
        
 There are three triangles in mAn, mDp, pCq, qBn. 
 Therefore,   8 3 3 3 3 20 ? ? ? ? ? 
 Hence, the correct option is (C). 
..Q.6 to Q.10 Carry Two Marks Each.. 
Question 6 Verbal Ability (Case Studies) 
  Students of all the departments of a college who have successfully completed the registration ?process are 
eligible to vote in the upcoming college elections. However, by the time the due date of registration was 
over, it was found that surprisingly none of the students from the Department of Human Sciences had 
completed the registration process. 
 Based only on the information provided above, which one of the following sets of statement(s) can be 
logically inferred with certainty? 
 (i) All those students who would not be eligible to vote in college elections would certainly belong to 
the Department of Human Sciences.  
 (ii) None of the students from departments other than Human Sciences failed to complete the registration 
process within the due time. 
 (iii) All the eligible voters would certainly be students who are not from the Department of Human 
Sciences. 
 (A) (i) and (ii) (B) (i) and (iii) 
 (C) only (i) (D) only (iii) 
Ans. (D) 
Sol. Given :  
 Student of all department of a college who have successfully completed the registration ?process are 
eligible to vote in the upcoming college elections however by the time the due date of registration was 
over it was found that surprisingly none of the student from the department of human science had 
completed the registration process. 
 (i) All those student who would not be eligible to vote in college election would certainly belong to the 
department of human science, cannot be inferred, as it is not a necessary condition or situation 
according to the given information. 
 (ii) None of student from departments other than human science failed to complete the registration 
process within the due time, cannot be inferred, as we have no information about the departments 
other than human science. 
 (iii) All the eligible voters would certainly be students who are not from the human science, can be 
inferred logically with certainty, as according to the given information “it was found that surprisingly 
none of the student from the department of human science had completed the registration process.” 
So, all the eligible voters would not be from department of human science.  
 Hence, the correct option is (D). 
Page 4


 
 
 
 
 
        
 
..Q.1 to Q.5 Carry One Mark Each.. 
Question 1  Verbal Ability (Sentence Completion) 
 Rafi told Mary “I am thinking of watching a film this weekend”. The following reports the above statement 
in indirect speech.  
 Rafi told Mary that he ________ of watching a film this weekend. 
 (A) thought (B) is thinking  
 (C) am thinking (D) was thinking 
Ans. (D) 
Sol. Rafi told Mary that he was thinking of watching a film this weekend. 
 Hence, the correct option is (D). 
Question 2 Verbal ability (Idioms & Phrases) 
 Permit: ______ :: Enforce : Relax. (By word meaning) 
 (A) Allow  (B)  Forbid  
 (C)  License (D)  Reinforce  
Ans. (B) 
Sol. Given : 
 Enforce is related to relax in a special manner, enforce and relax are opposite in meaning. In the same way 
of relationship opposite meaning of permit will be forbid. 
 Hence, the correct option is (B). 
Question 3 Numerical Ability (Probability and Statistics) 
 Given a fair six - faced dice where the faces are labelled 1, 2, 3, 4, 5 and 6. What is the probability of 
getting a “1” on the first roll of dice and the “4” on the second roll? 
 (A) 
1
36
 (B) 
1
6
  
 (C) 
5
6
 (D) 
1
3
 
Ans. (A) 
Sol. Probability of getting “1” on 1
st
 roll 
1
6
? 
 Probability of getting “4” on 2
nd
 roll 
1
6
? 
 Since, both events are independent  
 Probability of getting “1” on first roll and the “4” on the second roll 
1 1 1
6 6 36
? ? ? 
 Hence, the correct option is (A). 
 
 
 
 
 
        
Question 4 Verbal ability (case studies) 
 A recent survey shows that 65% of tobacco users were advised to stop consuming tobacco. The survey 
also shows that 3 out of 10 tobacco users attempted to stop using tobacco.  
 Based only on the interpretation of the above passage, which one of the following options can be logically 
inferred with certainty? 
 (A) A majority of tobacco users who were advised to stop consuming tobacco made an attempt to do so. 
 (B) A majority of tobacco users who were advised to stop consuming tobacco did not attempt to do so. 
 (C) Approximately 30% of the tobacco users successfully stopped consuming tobacco. 
 (D) Approximately 65% of tobacco users successfully stopped consuming tobacco. 
Ans. (B) 
Sol. Given :  
 A recent survey shows that 65% of tobacco users were advised to stop consuming tobacco. The survey 
also shows that 3 out of 10 tobacco users attempted to stop using tobacco. 
 Option (C) cannot be inferred with certainty, as according to given information 3 out of 10 numerical 
tobacco users attempted to stop using tobacco, which is not a majority.  
 Option (A) and option (D) cannot be inferred with certainty, as there is no information about how much 
tobacco users successfully stop consuming tobacco.  
 Option (B) can be inferred with certainty, as 3 out 10 tobacco users attempted to stop using tobacco; which 
means 7 users did not attempted to do this, and 7 out of 10 is a majority.  
 Hence, the correct option is (B). 
Question 5 Logical Reasoning (Numerical Computation) 
 How many triangles are present in the given figure?  
 
 (A)  12 (B) 16 
 (C) 20 (D)  24 
Ans. (C) 
Sol. Given : 
 Number of triangles are present in the figure, 
 
 In rectangle ABCD, number of triangle are 8.  
 The triangles are, OAB, OBC, OCD, ODA, ADC, DCB, CBA, BAD. 
A n B
D C p
m
s
t
O
r
u
q
 
 
 
 
 
        
 There are three triangles in mAn, mDp, pCq, qBn. 
 Therefore,   8 3 3 3 3 20 ? ? ? ? ? 
 Hence, the correct option is (C). 
..Q.6 to Q.10 Carry Two Marks Each.. 
Question 6 Verbal Ability (Case Studies) 
  Students of all the departments of a college who have successfully completed the registration ?process are 
eligible to vote in the upcoming college elections. However, by the time the due date of registration was 
over, it was found that surprisingly none of the students from the Department of Human Sciences had 
completed the registration process. 
 Based only on the information provided above, which one of the following sets of statement(s) can be 
logically inferred with certainty? 
 (i) All those students who would not be eligible to vote in college elections would certainly belong to 
the Department of Human Sciences.  
 (ii) None of the students from departments other than Human Sciences failed to complete the registration 
process within the due time. 
 (iii) All the eligible voters would certainly be students who are not from the Department of Human 
Sciences. 
 (A) (i) and (ii) (B) (i) and (iii) 
 (C) only (i) (D) only (iii) 
Ans. (D) 
Sol. Given :  
 Student of all department of a college who have successfully completed the registration ?process are 
eligible to vote in the upcoming college elections however by the time the due date of registration was 
over it was found that surprisingly none of the student from the department of human science had 
completed the registration process. 
 (i) All those student who would not be eligible to vote in college election would certainly belong to the 
department of human science, cannot be inferred, as it is not a necessary condition or situation 
according to the given information. 
 (ii) None of student from departments other than human science failed to complete the registration 
process within the due time, cannot be inferred, as we have no information about the departments 
other than human science. 
 (iii) All the eligible voters would certainly be students who are not from the human science, can be 
inferred logically with certainty, as according to the given information “it was found that surprisingly 
none of the student from the department of human science had completed the registration process.” 
So, all the eligible voters would not be from department of human science.  
 Hence, the correct option is (D). 
 
 
 
 
 
        
Question 7 Logical Reasoning (numerical computation) 
 Which one of the following options represents the given graph? 
 
 (A) 
2
( ) 2
x
f x x
?
? (B) ( ) 2
x
f x x
?
? 
 (C) ( ) 2
x
f x x
?
? (D) ( ) 2
x
f x x
?
? 
Ans. (B) 
Sol. Only option (B) is odd function. 
 Hence, the correct option is (B). 
Question 8 Verbal ability (case studies) 
 Which one of the options does NOT describe the passage below or follow from it? 
 We tend to think of cancer as a ‘modern’ illness because its metaphors are so modern. It is a disease of 
overproduction, of sudden growth, a growth that is unstoppable, tipped into the abyss of no control. 
Modern cell biology encourages us to imagine the cell as a molecular machine. Cancer is that machine 
unable to quench its initial command (to grow) and thus transform into an indestructible, self-propelled 
automaton. 
 [Adapted from The Emperor of All Maladies by Siddhartha Mukherjee] 
 (A)  It is a reflection of why cancer seems so modern to most of us.  
 (B)  It tells us that modern cell biology uses and promotes metaphors of machinery. 
 (C)  Modern cell biology encourages metaphors of machinery, and cancer is often imagined as a machine. 
 (D) Modern cell biology never uses figurative language, such as metaphors, to describe or explain 
anything  
Ans. (D) 
Sol. Given : 
 We tend to think of cancer as a ‘modern’ illness because its metaphors are so modern. It is a disease of 
overproduction, of sudden growth, a growth that is unstoppable, tipped into the abyss of no control. 
Modern cell biology encourages us to imagine the cell as a molecular machine. Cancer is that machine 
unable to quench its initial command (to grow) and thus transform into an indestructible, self-propelled 
automaton. 
 From the given information we can clearly seen the modern cell biology uses figurative language, such as 
metaphors to describe modern illness cancer. 
 Hence, the correct option is (D). 
( ) f x
x
0
Page 5


 
 
 
 
 
        
 
..Q.1 to Q.5 Carry One Mark Each.. 
Question 1  Verbal Ability (Sentence Completion) 
 Rafi told Mary “I am thinking of watching a film this weekend”. The following reports the above statement 
in indirect speech.  
 Rafi told Mary that he ________ of watching a film this weekend. 
 (A) thought (B) is thinking  
 (C) am thinking (D) was thinking 
Ans. (D) 
Sol. Rafi told Mary that he was thinking of watching a film this weekend. 
 Hence, the correct option is (D). 
Question 2 Verbal ability (Idioms & Phrases) 
 Permit: ______ :: Enforce : Relax. (By word meaning) 
 (A) Allow  (B)  Forbid  
 (C)  License (D)  Reinforce  
Ans. (B) 
Sol. Given : 
 Enforce is related to relax in a special manner, enforce and relax are opposite in meaning. In the same way 
of relationship opposite meaning of permit will be forbid. 
 Hence, the correct option is (B). 
Question 3 Numerical Ability (Probability and Statistics) 
 Given a fair six - faced dice where the faces are labelled 1, 2, 3, 4, 5 and 6. What is the probability of 
getting a “1” on the first roll of dice and the “4” on the second roll? 
 (A) 
1
36
 (B) 
1
6
  
 (C) 
5
6
 (D) 
1
3
 
Ans. (A) 
Sol. Probability of getting “1” on 1
st
 roll 
1
6
? 
 Probability of getting “4” on 2
nd
 roll 
1
6
? 
 Since, both events are independent  
 Probability of getting “1” on first roll and the “4” on the second roll 
1 1 1
6 6 36
? ? ? 
 Hence, the correct option is (A). 
 
 
 
 
 
        
Question 4 Verbal ability (case studies) 
 A recent survey shows that 65% of tobacco users were advised to stop consuming tobacco. The survey 
also shows that 3 out of 10 tobacco users attempted to stop using tobacco.  
 Based only on the interpretation of the above passage, which one of the following options can be logically 
inferred with certainty? 
 (A) A majority of tobacco users who were advised to stop consuming tobacco made an attempt to do so. 
 (B) A majority of tobacco users who were advised to stop consuming tobacco did not attempt to do so. 
 (C) Approximately 30% of the tobacco users successfully stopped consuming tobacco. 
 (D) Approximately 65% of tobacco users successfully stopped consuming tobacco. 
Ans. (B) 
Sol. Given :  
 A recent survey shows that 65% of tobacco users were advised to stop consuming tobacco. The survey 
also shows that 3 out of 10 tobacco users attempted to stop using tobacco. 
 Option (C) cannot be inferred with certainty, as according to given information 3 out of 10 numerical 
tobacco users attempted to stop using tobacco, which is not a majority.  
 Option (A) and option (D) cannot be inferred with certainty, as there is no information about how much 
tobacco users successfully stop consuming tobacco.  
 Option (B) can be inferred with certainty, as 3 out 10 tobacco users attempted to stop using tobacco; which 
means 7 users did not attempted to do this, and 7 out of 10 is a majority.  
 Hence, the correct option is (B). 
Question 5 Logical Reasoning (Numerical Computation) 
 How many triangles are present in the given figure?  
 
 (A)  12 (B) 16 
 (C) 20 (D)  24 
Ans. (C) 
Sol. Given : 
 Number of triangles are present in the figure, 
 
 In rectangle ABCD, number of triangle are 8.  
 The triangles are, OAB, OBC, OCD, ODA, ADC, DCB, CBA, BAD. 
A n B
D C p
m
s
t
O
r
u
q
 
 
 
 
 
        
 There are three triangles in mAn, mDp, pCq, qBn. 
 Therefore,   8 3 3 3 3 20 ? ? ? ? ? 
 Hence, the correct option is (C). 
..Q.6 to Q.10 Carry Two Marks Each.. 
Question 6 Verbal Ability (Case Studies) 
  Students of all the departments of a college who have successfully completed the registration ?process are 
eligible to vote in the upcoming college elections. However, by the time the due date of registration was 
over, it was found that surprisingly none of the students from the Department of Human Sciences had 
completed the registration process. 
 Based only on the information provided above, which one of the following sets of statement(s) can be 
logically inferred with certainty? 
 (i) All those students who would not be eligible to vote in college elections would certainly belong to 
the Department of Human Sciences.  
 (ii) None of the students from departments other than Human Sciences failed to complete the registration 
process within the due time. 
 (iii) All the eligible voters would certainly be students who are not from the Department of Human 
Sciences. 
 (A) (i) and (ii) (B) (i) and (iii) 
 (C) only (i) (D) only (iii) 
Ans. (D) 
Sol. Given :  
 Student of all department of a college who have successfully completed the registration ?process are 
eligible to vote in the upcoming college elections however by the time the due date of registration was 
over it was found that surprisingly none of the student from the department of human science had 
completed the registration process. 
 (i) All those student who would not be eligible to vote in college election would certainly belong to the 
department of human science, cannot be inferred, as it is not a necessary condition or situation 
according to the given information. 
 (ii) None of student from departments other than human science failed to complete the registration 
process within the due time, cannot be inferred, as we have no information about the departments 
other than human science. 
 (iii) All the eligible voters would certainly be students who are not from the human science, can be 
inferred logically with certainty, as according to the given information “it was found that surprisingly 
none of the student from the department of human science had completed the registration process.” 
So, all the eligible voters would not be from department of human science.  
 Hence, the correct option is (D). 
 
 
 
 
 
        
Question 7 Logical Reasoning (numerical computation) 
 Which one of the following options represents the given graph? 
 
 (A) 
2
( ) 2
x
f x x
?
? (B) ( ) 2
x
f x x
?
? 
 (C) ( ) 2
x
f x x
?
? (D) ( ) 2
x
f x x
?
? 
Ans. (B) 
Sol. Only option (B) is odd function. 
 Hence, the correct option is (B). 
Question 8 Verbal ability (case studies) 
 Which one of the options does NOT describe the passage below or follow from it? 
 We tend to think of cancer as a ‘modern’ illness because its metaphors are so modern. It is a disease of 
overproduction, of sudden growth, a growth that is unstoppable, tipped into the abyss of no control. 
Modern cell biology encourages us to imagine the cell as a molecular machine. Cancer is that machine 
unable to quench its initial command (to grow) and thus transform into an indestructible, self-propelled 
automaton. 
 [Adapted from The Emperor of All Maladies by Siddhartha Mukherjee] 
 (A)  It is a reflection of why cancer seems so modern to most of us.  
 (B)  It tells us that modern cell biology uses and promotes metaphors of machinery. 
 (C)  Modern cell biology encourages metaphors of machinery, and cancer is often imagined as a machine. 
 (D) Modern cell biology never uses figurative language, such as metaphors, to describe or explain 
anything  
Ans. (D) 
Sol. Given : 
 We tend to think of cancer as a ‘modern’ illness because its metaphors are so modern. It is a disease of 
overproduction, of sudden growth, a growth that is unstoppable, tipped into the abyss of no control. 
Modern cell biology encourages us to imagine the cell as a molecular machine. Cancer is that machine 
unable to quench its initial command (to grow) and thus transform into an indestructible, self-propelled 
automaton. 
 From the given information we can clearly seen the modern cell biology uses figurative language, such as 
metaphors to describe modern illness cancer. 
 Hence, the correct option is (D). 
( ) f x
x
0
 
 
 
 
 
        
Question 9 Numerical Ability (number system) 
 The digit in the unit’s place of product 
999 1000
37 ? is ____. 
 (A)  7 (B) 1  
 (C) 3 (D)  9 
Ans. (A) 
Sol. Given : 
999 1000 4 249 3 4 25
3 7 (3 ) 3 (7 ) ? ? ? ? 1 27 1 ? ? ? 
 Unit digit value 7 ? 
 Hence, the correct option is (A). 
Question 10 Logical Reasoning (numerical computation) 
 A square with sides of length 6 cm is given. The boundary of the shaded region is defined by two semi-
circles whose diameters are the sides of the square, as shown. 
 
 The area of the shaded region is_______ cm
2
. 
 (A) 6 ? (B) 18  
 (C)  20 (D)  9 ? 
Ans. (B) 
Sol. 
 
 Area of region 
2
( ) 2[36 ( .3 )] A B C D ? ? ? ? ? ? 72 18 ? ? ? 
 Area of region () I II III IV ? ? ? 36 [72 18 ] ? ? ? ? 18 36 ? ? ? 
 Area of region “I” 
9
(18 36)/4 9
2
?
? ? ? ? ? 
 Area of shared region = Area of () A B I ? ? ? 
 
32
33
22
II
??
? ? ? ?
9 9 9
29
2 2 2
? ? ? ??
? ? ? ?
??
??
 
 9 (9 18) ? ? ? ? ? 18 ? 
 Hence, the correct option is (B).  
3 cm
6 cm
D
C
B
A
IV III
II I
6 cm