Mechanical Engineering (ME) 2016 GATE Paper (Set B) with solution

# Mechanical Engineering (ME) 2016 GATE Paper (Set B) with solution - GATE Mechanical (ME) 2023 Mock Test Series

``` Page 1

: 	2 	:
Q1-Q.5 carry one mark each
01. The volume of a sphere of diameter 1 unit is _____ than the volume of a cube of side 1 unit.
(A) least (B) less
(C) lesser (D) low
01. Ans: (C)
Sol: ‘Lesser than’ is apt because the sentence should be in comparative degree.
02. The unruly crowd demanded that the accused be ____ without trial.
(A) hanged (B) hanging
(C) hankering (D) hung
02. Ans: (A)
Sol: ‘hanged’ means death by hanging ‘hung’ is used only with things and not with people.
03. Choose the statement(s) where the underlined word is used correctly:
(i) A prone is a dried plum.
(ii) He was lying prone on the floor.
(iii) People who eat a  lot of fat are Prone to heart disease.
(A) (i) and (iii) only    (B) (iii) only
(C)  (i) and (ii) only    (D) (ii) and (iii) only
03. Ans: (D)
Sol: ‘lying prone’ means lie down flat. ‘Prone to’ means vulnerable to.
Page 2

: 	2 	:
Q1-Q.5 carry one mark each
01. The volume of a sphere of diameter 1 unit is _____ than the volume of a cube of side 1 unit.
(A) least (B) less
(C) lesser (D) low
01. Ans: (C)
Sol: ‘Lesser than’ is apt because the sentence should be in comparative degree.
02. The unruly crowd demanded that the accused be ____ without trial.
(A) hanged (B) hanging
(C) hankering (D) hung
02. Ans: (A)
Sol: ‘hanged’ means death by hanging ‘hung’ is used only with things and not with people.
03. Choose the statement(s) where the underlined word is used correctly:
(i) A prone is a dried plum.
(ii) He was lying prone on the floor.
(iii) People who eat a  lot of fat are Prone to heart disease.
(A) (i) and (iii) only    (B) (iii) only
(C)  (i) and (ii) only    (D) (ii) and (iii) only
03. Ans: (D)
Sol: ‘lying prone’ means lie down flat. ‘Prone to’ means vulnerable to.
: 	4 	:
04. Fact: If it rains, then the field is wet.
(i) It rains      (ii) The field is not wet
(iii) The field is wet     (iv) It did not rain
Which one of the options given below is NOT logically possible, based on the given fact?
(A)If (iii), then (iv)    (B) If (i), then (iii)
(C) If (i), then (ii)    (D) If (ii), then (iv)
04. Ans: (C)
Sol: Statements i and ii are not logically possible based on the given fact.
05. A window is made up of a square portion and an equilateral triangle portion above it. The base of
the triangular portion coincides with the upper side of the square. If the perimeter of the window is
6m, the area of the window in m
2
is ___
(A) 1.43 (B) 2.06
(C) 2.68 (D) 2.88
05. Ans: (B)
Sol: From the given data, the following window is possible
The perimeter of the window = 5x = 6 m
20 . 1
5
6
x ? ? m
Area of the window
= Area of square + Area of ?
l
e
2
) 2 . 1 (
4
3
2 . 1 2 . 1 ? ? ? ?
= 1.44 + 0.623 = 2.06 m
2

x
x
x
x
x
Page 3

: 	2 	:
Q1-Q.5 carry one mark each
01. The volume of a sphere of diameter 1 unit is _____ than the volume of a cube of side 1 unit.
(A) least (B) less
(C) lesser (D) low
01. Ans: (C)
Sol: ‘Lesser than’ is apt because the sentence should be in comparative degree.
02. The unruly crowd demanded that the accused be ____ without trial.
(A) hanged (B) hanging
(C) hankering (D) hung
02. Ans: (A)
Sol: ‘hanged’ means death by hanging ‘hung’ is used only with things and not with people.
03. Choose the statement(s) where the underlined word is used correctly:
(i) A prone is a dried plum.
(ii) He was lying prone on the floor.
(iii) People who eat a  lot of fat are Prone to heart disease.
(A) (i) and (iii) only    (B) (iii) only
(C)  (i) and (ii) only    (D) (ii) and (iii) only
03. Ans: (D)
Sol: ‘lying prone’ means lie down flat. ‘Prone to’ means vulnerable to.
: 	4 	:
04. Fact: If it rains, then the field is wet.
(i) It rains      (ii) The field is not wet
(iii) The field is wet     (iv) It did not rain
Which one of the options given below is NOT logically possible, based on the given fact?
(A)If (iii), then (iv)    (B) If (i), then (iii)
(C) If (i), then (ii)    (D) If (ii), then (iv)
04. Ans: (C)
Sol: Statements i and ii are not logically possible based on the given fact.
05. A window is made up of a square portion and an equilateral triangle portion above it. The base of
the triangular portion coincides with the upper side of the square. If the perimeter of the window is
6m, the area of the window in m
2
is ___
(A) 1.43 (B) 2.06
(C) 2.68 (D) 2.88
05. Ans: (B)
Sol: From the given data, the following window is possible
The perimeter of the window = 5x = 6 m
20 . 1
5
6
x ? ? m
Area of the window
= Area of square + Area of ?
l
e
2
) 2 . 1 (
4
3
2 . 1 2 . 1 ? ? ? ?
= 1.44 + 0.623 = 2.06 m
2

x
x
x
x
x
: 	5 	: 	 			ME Set - 02
Q.6-Q.10 carry two marks each
06. Students taking an exam are divided into two groups, P and Q such that each group has the same
number of students. The performance of each of the students in a test was evaluated out of 200
marks. It was observed that the mean of group P was 105, while that of group Q was 85. The
standard deviation of group P was 25, while that of group Q was 5. Assuming that the marks were
distributed on a normal distribution, which of the following statements will have the highest
probability of being TRUE?
(A) No student in group Q scored less marks than any student in group P.
(B) No student in group P scored less marks than any student in group Q.
(C) Most students of group Q scored marks in a narrower range than students in group P.
(D) The median of the marks of group P is 100.
06. Ans: (C)
Sol: Group ‘P’
Mean ( ?) = 105
Standard deviation ( ?
1
) = 25
Pr (µ – ? = x = µ + ?) ? ? 0.6827
? 68% within one standard deviation
µ
1
– ?
1
= 105 – 25 = 80
µ
1
+ ?
1
= 105 + 25 = 130
? range = 80  to 130
Distribution of P:
80 105 130
68% within one standard deviation of P
Page 4

: 	2 	:
Q1-Q.5 carry one mark each
01. The volume of a sphere of diameter 1 unit is _____ than the volume of a cube of side 1 unit.
(A) least (B) less
(C) lesser (D) low
01. Ans: (C)
Sol: ‘Lesser than’ is apt because the sentence should be in comparative degree.
02. The unruly crowd demanded that the accused be ____ without trial.
(A) hanged (B) hanging
(C) hankering (D) hung
02. Ans: (A)
Sol: ‘hanged’ means death by hanging ‘hung’ is used only with things and not with people.
03. Choose the statement(s) where the underlined word is used correctly:
(i) A prone is a dried plum.
(ii) He was lying prone on the floor.
(iii) People who eat a  lot of fat are Prone to heart disease.
(A) (i) and (iii) only    (B) (iii) only
(C)  (i) and (ii) only    (D) (ii) and (iii) only
03. Ans: (D)
Sol: ‘lying prone’ means lie down flat. ‘Prone to’ means vulnerable to.
: 	4 	:
04. Fact: If it rains, then the field is wet.
(i) It rains      (ii) The field is not wet
(iii) The field is wet     (iv) It did not rain
Which one of the options given below is NOT logically possible, based on the given fact?
(A)If (iii), then (iv)    (B) If (i), then (iii)
(C) If (i), then (ii)    (D) If (ii), then (iv)
04. Ans: (C)
Sol: Statements i and ii are not logically possible based on the given fact.
05. A window is made up of a square portion and an equilateral triangle portion above it. The base of
the triangular portion coincides with the upper side of the square. If the perimeter of the window is
6m, the area of the window in m
2
is ___
(A) 1.43 (B) 2.06
(C) 2.68 (D) 2.88
05. Ans: (B)
Sol: From the given data, the following window is possible
The perimeter of the window = 5x = 6 m
20 . 1
5
6
x ? ? m
Area of the window
= Area of square + Area of ?
l
e
2
) 2 . 1 (
4
3
2 . 1 2 . 1 ? ? ? ?
= 1.44 + 0.623 = 2.06 m
2

x
x
x
x
x
: 	5 	: 	 			ME Set - 02
Q.6-Q.10 carry two marks each
06. Students taking an exam are divided into two groups, P and Q such that each group has the same
number of students. The performance of each of the students in a test was evaluated out of 200
marks. It was observed that the mean of group P was 105, while that of group Q was 85. The
standard deviation of group P was 25, while that of group Q was 5. Assuming that the marks were
distributed on a normal distribution, which of the following statements will have the highest
probability of being TRUE?
(A) No student in group Q scored less marks than any student in group P.
(B) No student in group P scored less marks than any student in group Q.
(C) Most students of group Q scored marks in a narrower range than students in group P.
(D) The median of the marks of group P is 100.
06. Ans: (C)
Sol: Group ‘P’
Mean ( ?) = 105
Standard deviation ( ?
1
) = 25
Pr (µ – ? = x = µ + ?) ? ? 0.6827
? 68% within one standard deviation
µ
1
– ?
1
= 105 – 25 = 80
µ
1
+ ?
1
= 105 + 25 = 130
? range = 80  to 130
Distribution of P:
80 105 130
68% within one standard deviation of P
: 	6 	: 	 		GATE_2016_Afternoon 	Session
Group Q
Mean (µ
2
) = 85
Standard deviation ( ?
2
) = 5
Pr (µ – ? = x = µ + ?) ? 0.6827
? 68% within one standard deviation
µ
2
– ?
2
= 85 – 5  = 80
µ
2
+ ?
2
= 85 + 5 = 90
? Range of Q in one standard deviation is 80 to 90
Distribution of ‘Q’
68% within one standard deviation of Q is narrower
? 68% within one standard deviation of Q means most students of group Q.
? Most students of group ‘Q’ scored marks in a narrower range than students in group ‘P’
68% within one standard
deviation of Q
80
85
90
```

## FAQs on Mechanical Engineering (ME) 2016 GATE Paper (Set B) with solution - GATE Mechanical (ME) 2023 Mock Test Series

 1. What is the syllabus for the Mechanical Engineering (ME) 2016 GATE Paper (Set B)? Ans. The syllabus for the Mechanical Engineering (ME) 2016 GATE Paper (Set B) includes subjects like Engineering Mathematics, Applied Mechanics and Design, Fluid Mechanics and Thermal Sciences, Materials, Manufacturing and Industrial Engineering. It covers topics such as linear algebra, calculus, strength of materials, fluid mechanics, heat transfer, engineering materials, manufacturing processes, and more.
 2. How can I prepare for the Mechanical Engineering (ME) 2016 GATE Paper (Set B)? Ans. To prepare for the Mechanical Engineering (ME) 2016 GATE Paper (Set B), you can start by thoroughly understanding the syllabus and exam pattern. Make a study plan and allocate time for each subject accordingly. Practice previous year question papers and take mock tests to assess your preparation. Refer to standard textbooks and study materials recommended for GATE preparation. Also, join online forums or coaching classes for guidance and clarification of doubts.
 3. Are there any specific tips to excel in the Mechanical Engineering (ME) 2016 GATE Paper (Set B)? Ans. Yes, here are some tips to excel in the Mechanical Engineering (ME) 2016 GATE Paper (Set B): 1. Focus on understanding the concepts rather than rote learning. 2. Solve numerical problems regularly to improve your problem-solving skills. 3. Practice time management by solving questions within the stipulated time. 4. Make short notes or flashcards for quick revision. 5. Stay updated with current trends and advancements in the field of mechanical engineering. 6. Take regular breaks and maintain a healthy study routine to avoid burnout. 7. Stay positive and confident during the exam.
 4. What is the importance of solving previous year question papers for the Mechanical Engineering (ME) 2016 GATE Paper (Set B)? Ans. Solving previous year question papers for the Mechanical Engineering (ME) 2016 GATE Paper (Set B) is crucial for several reasons: 1. It helps you understand the exam pattern and question format. 2. It familiarizes you with the type of questions asked and their difficulty level. 3. It gives you an idea about the important topics and their weightage in the exam. 4. It helps you identify your strengths and weaknesses, allowing you to focus on areas that need improvement. 5. It boosts your confidence and reduces exam anxiety. 6. It provides an opportunity to practice time management and improve your speed in solving problems.
 5. Can you suggest some recommended books for the Mechanical Engineering (ME) 2016 GATE Paper (Set B) preparation? Ans. Yes, here are some recommended books for the Mechanical Engineering (ME) 2016 GATE Paper (Set B) preparation: 1. "Mechanical Engineering for GATE" by R.K. Jain 2. "GATE Mechanical Engineering" by Made Easy Editorial Board 3. "GATE Mechanical Engineering" by G.K. Publications 4. "Objective Mechanical Engineering" by P.K. Mishra 5. "Engineering Mechanics" by S.S. Bhavikatti 6. "Heat and Mass Transfer" by R.K. Rajput 7. "Strength of Materials" by R.S. Khurmi 8. "Fluid Mechanics and Hydraulic Machines" by R.K. Bansal 9. "Manufacturing Science" by Amitabha Ghosh and Mallik 10. "Engineering Materials" by R.K. Rajput Note: It is always recommended to refer to the latest editions of these books and cross-check with the syllabus of the specific exam year.

## GATE Mechanical (ME) 2023 Mock Test Series

27 docs|243 tests

## GATE Mechanical (ME) 2023 Mock Test Series

27 docs|243 tests
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