Courses

# Textile Engineering and Fibre Science - TF 2018 GATE Paper with solution GATE Notes | EduRev

## GATE : Textile Engineering and Fibre Science - TF 2018 GATE Paper with solution GATE Notes | EduRev

``` Page 1

GATE 2018                                                                                            General Aptitude (GA) Set-4
GA 1/2
Q. 1 – Q. 5 carry one mark each.
Q.1  “When she fell down the _______, she received many _______ but little help. ”

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

(A) stairs, stares (B) stairs, stairs
(C) stares, stairs (D) stares, stares

Q.2  “In spite of being warned repeatedly, he failed to correct his _________ behaviour. ”

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

(A) rational (B) reasonable (C) errant (D) good

Q.3  For 0 = ?? = 2 ?? , sin ?? and cos ?? are both decreasing functions in the interval ________.

(A) ( 0 ,
?? 2
) (B) (
?? 2
, ?? ) (C) (?? ,
3 ?? 2
) (D) (
3 ?? 2
, 2 ?? )

Q.4
The area of an equilateral triangle is v 3. What is the perimeter of the triangle?

(A) 2 (B) 4 (C) 6 (D) 8

Q.5  Arrange the following three-dimensional objects in the descending order of their volumes:
(i)  A cuboid with dimensions 10 cm, 8 cm and 6 cm

(ii)  A cube of side 8 cm
(iii)  A cylinder with base radius 7 cm and height 7 cm
(iv)  A sphere of radius 7 cm

(A) (i), (ii), (iii), (iv)
(B) (ii), (i), (iv), (iii)
(C) (iii), (ii), (i), (iv)
(D) (iv), (iii), (ii), (i)

Q. 6 – Q. 10 carry two marks each.

Q.6  An automobile travels from city A to city B and returns to city A by the same route. The
speed of the vehicle during the onward and return journeys were constant at 60 km/h and
90 km/h, respectively. What is the average speed in km/h for the entire journey?

(A) 72 (B) 73 (C) 74 (D) 75

Page 2

GATE 2018                                                                                            General Aptitude (GA) Set-4
GA 1/2
Q. 1 – Q. 5 carry one mark each.
Q.1  “When she fell down the _______, she received many _______ but little help. ”

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

(A) stairs, stares (B) stairs, stairs
(C) stares, stairs (D) stares, stares

Q.2  “In spite of being warned repeatedly, he failed to correct his _________ behaviour. ”

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

(A) rational (B) reasonable (C) errant (D) good

Q.3  For 0 = ?? = 2 ?? , sin ?? and cos ?? are both decreasing functions in the interval ________.

(A) ( 0 ,
?? 2
) (B) (
?? 2
, ?? ) (C) (?? ,
3 ?? 2
) (D) (
3 ?? 2
, 2 ?? )

Q.4
The area of an equilateral triangle is v 3. What is the perimeter of the triangle?

(A) 2 (B) 4 (C) 6 (D) 8

Q.5  Arrange the following three-dimensional objects in the descending order of their volumes:
(i)  A cuboid with dimensions 10 cm, 8 cm and 6 cm

(ii)  A cube of side 8 cm
(iii)  A cylinder with base radius 7 cm and height 7 cm
(iv)  A sphere of radius 7 cm

(A) (i), (ii), (iii), (iv)
(B) (ii), (i), (iv), (iii)
(C) (iii), (ii), (i), (iv)
(D) (iv), (iii), (ii), (i)

Q. 6 – Q. 10 carry two marks each.

Q.6  An automobile travels from city A to city B and returns to city A by the same route. The
speed of the vehicle during the onward and return journeys were constant at 60 km/h and
90 km/h, respectively. What is the average speed in km/h for the entire journey?

(A) 72 (B) 73 (C) 74 (D) 75

GATE 2018                                                                                            General Aptitude (GA) Set-4
GA 2/2
Q.7  A set of 4 parallel lines intersect with another set of 5 parallel lines. How many
parallelograms are formed?

(A) 20 (B) 48 (C) 60 (D) 72

Q.8  To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of
6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000
candidates. Question B was answered correctly by 2,50,000 candidates. Question C was
answered correctly by 2,60,000 candidates. Both questions A and B were answered
correctly by 1,00,000 candidates. Both questions B and C were answered correctly by
90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates.
If the number of students answering all questions correctly is the same as the number
answering none, how many candidates failed to clear the test?

(A) 30,000 (B) 2,70,000 (C) 3,90,000 (D) 4,20,000

Q.9
If ?? 2
+ ?? - 1 = 0 what is the value of ?? 4
+
1
?? 4
?

(A) 1 (B) 5 (C) 7 (D) 9

Q.10  In a detailed study of annual crow births in India, it was found that there was relatively no
growth during the period 2002 to 2004 and a sudden spike from 2004 to 2005. In another
unrelated study, it was found that the revenue from cracker sales in India which remained
fairly flat from 2002 to 2004, saw a sudden spike in 2005 before declining again in 2006.
The solid line in the graph below refers to annual sale of crackers and the dashed line refers
to the annual crow births in India. Choose the most appropriate inference from the above
data.

(A) There is a strong correlation between crow birth and cracker sales.
(B) Cracker usage increases crow birth rate.
(C) If cracker sale declines, crow birth will decline.
(D) Increased birth rate of crows will cause an increase in the sale of crackers.

END OF THE QUESTION PAPER

Page 3

GATE 2018                                                                                            General Aptitude (GA) Set-4
GA 1/2
Q. 1 – Q. 5 carry one mark each.
Q.1  “When she fell down the _______, she received many _______ but little help. ”

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

(A) stairs, stares (B) stairs, stairs
(C) stares, stairs (D) stares, stares

Q.2  “In spite of being warned repeatedly, he failed to correct his _________ behaviour. ”

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

(A) rational (B) reasonable (C) errant (D) good

Q.3  For 0 = ?? = 2 ?? , sin ?? and cos ?? are both decreasing functions in the interval ________.

(A) ( 0 ,
?? 2
) (B) (
?? 2
, ?? ) (C) (?? ,
3 ?? 2
) (D) (
3 ?? 2
, 2 ?? )

Q.4
The area of an equilateral triangle is v 3. What is the perimeter of the triangle?

(A) 2 (B) 4 (C) 6 (D) 8

Q.5  Arrange the following three-dimensional objects in the descending order of their volumes:
(i)  A cuboid with dimensions 10 cm, 8 cm and 6 cm

(ii)  A cube of side 8 cm
(iii)  A cylinder with base radius 7 cm and height 7 cm
(iv)  A sphere of radius 7 cm

(A) (i), (ii), (iii), (iv)
(B) (ii), (i), (iv), (iii)
(C) (iii), (ii), (i), (iv)
(D) (iv), (iii), (ii), (i)

Q. 6 – Q. 10 carry two marks each.

Q.6  An automobile travels from city A to city B and returns to city A by the same route. The
speed of the vehicle during the onward and return journeys were constant at 60 km/h and
90 km/h, respectively. What is the average speed in km/h for the entire journey?

(A) 72 (B) 73 (C) 74 (D) 75

GATE 2018                                                                                            General Aptitude (GA) Set-4
GA 2/2
Q.7  A set of 4 parallel lines intersect with another set of 5 parallel lines. How many
parallelograms are formed?

(A) 20 (B) 48 (C) 60 (D) 72

Q.8  To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of
6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000
candidates. Question B was answered correctly by 2,50,000 candidates. Question C was
answered correctly by 2,60,000 candidates. Both questions A and B were answered
correctly by 1,00,000 candidates. Both questions B and C were answered correctly by
90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates.
If the number of students answering all questions correctly is the same as the number
answering none, how many candidates failed to clear the test?

(A) 30,000 (B) 2,70,000 (C) 3,90,000 (D) 4,20,000

Q.9
If ?? 2
+ ?? - 1 = 0 what is the value of ?? 4
+
1
?? 4
?

(A) 1 (B) 5 (C) 7 (D) 9

Q.10  In a detailed study of annual crow births in India, it was found that there was relatively no
growth during the period 2002 to 2004 and a sudden spike from 2004 to 2005. In another
unrelated study, it was found that the revenue from cracker sales in India which remained
fairly flat from 2002 to 2004, saw a sudden spike in 2005 before declining again in 2006.
The solid line in the graph below refers to annual sale of crackers and the dashed line refers
to the annual crow births in India. Choose the most appropriate inference from the above
data.

(A) There is a strong correlation between crow birth and cracker sales.
(B) Cracker usage increases crow birth rate.
(C) If cracker sale declines, crow birth will decline.
(D) Increased birth rate of crows will cause an increase in the sale of crackers.

END OF THE QUESTION PAPER

GATE 2018    Textile Engineering and Fibre Science
TF 1/10
Q. 1 – Q. 25 carry one mark each.
Q.1
Let  ?? = [
??   ?? 2 -?? ]  and  ?? = (
-1
1
).  If   ???? = (
-3
1
),  then  |?? |  is equal to
(A) 2 (B) -2 (C) -6 (D) 6

Q.2
If  ??  and  ?? are two independent events such that  ?? (?? ) =
1
4
and  ?? (?? ) =
2
3
,  then
?? (?? ? ?? )  is equal to
(A)
11
12
(B)
1
12
(C)
3
4
(D)
5
6

Q.3  Which one of the following is a leaf fibre?
(A) Coir  (B) Sisal  (C) Jute  (D) Hemp

Q.4  The pair of fibres most prone to accumulation of static charge is
(A) Cotton and Polyester
(B) Silk and Polyester
(C) Polyester and Polypropylene
(D) Silk and Polypropylene

Q.5  Heat-setting of melt-spun and drawn Nylon 6 filament yarn under slack condition leads to
increase in its
(A) Tenacity  (B) Molecular orientation
(C) Molecular weight (D) Dimensional stability

Q.6  Which one of the fibres, having stress-strain curves as shown in the figure, is the most
suitable for making mountaineering ropes?

(A) P  (B) Q  (C) R  (D) S

Q.7  The technology that produces yarn with the maximum fibre migration is
(A) Rotor spinning (B) Friction spinning
(C) Air-jet spinning (D) Ring spinning
P
Q
R
Stress
S
Strain
Page 4

GATE 2018                                                                                            General Aptitude (GA) Set-4
GA 1/2
Q. 1 – Q. 5 carry one mark each.
Q.1  “When she fell down the _______, she received many _______ but little help. ”

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

(A) stairs, stares (B) stairs, stairs
(C) stares, stairs (D) stares, stares

Q.2  “In spite of being warned repeatedly, he failed to correct his _________ behaviour. ”

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

(A) rational (B) reasonable (C) errant (D) good

Q.3  For 0 = ?? = 2 ?? , sin ?? and cos ?? are both decreasing functions in the interval ________.

(A) ( 0 ,
?? 2
) (B) (
?? 2
, ?? ) (C) (?? ,
3 ?? 2
) (D) (
3 ?? 2
, 2 ?? )

Q.4
The area of an equilateral triangle is v 3. What is the perimeter of the triangle?

(A) 2 (B) 4 (C) 6 (D) 8

Q.5  Arrange the following three-dimensional objects in the descending order of their volumes:
(i)  A cuboid with dimensions 10 cm, 8 cm and 6 cm

(ii)  A cube of side 8 cm
(iii)  A cylinder with base radius 7 cm and height 7 cm
(iv)  A sphere of radius 7 cm

(A) (i), (ii), (iii), (iv)
(B) (ii), (i), (iv), (iii)
(C) (iii), (ii), (i), (iv)
(D) (iv), (iii), (ii), (i)

Q. 6 – Q. 10 carry two marks each.

Q.6  An automobile travels from city A to city B and returns to city A by the same route. The
speed of the vehicle during the onward and return journeys were constant at 60 km/h and
90 km/h, respectively. What is the average speed in km/h for the entire journey?

(A) 72 (B) 73 (C) 74 (D) 75

GATE 2018                                                                                            General Aptitude (GA) Set-4
GA 2/2
Q.7  A set of 4 parallel lines intersect with another set of 5 parallel lines. How many
parallelograms are formed?

(A) 20 (B) 48 (C) 60 (D) 72

Q.8  To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of
6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000
candidates. Question B was answered correctly by 2,50,000 candidates. Question C was
answered correctly by 2,60,000 candidates. Both questions A and B were answered
correctly by 1,00,000 candidates. Both questions B and C were answered correctly by
90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates.
If the number of students answering all questions correctly is the same as the number
answering none, how many candidates failed to clear the test?

(A) 30,000 (B) 2,70,000 (C) 3,90,000 (D) 4,20,000

Q.9
If ?? 2
+ ?? - 1 = 0 what is the value of ?? 4
+
1
?? 4
?

(A) 1 (B) 5 (C) 7 (D) 9

Q.10  In a detailed study of annual crow births in India, it was found that there was relatively no
growth during the period 2002 to 2004 and a sudden spike from 2004 to 2005. In another
unrelated study, it was found that the revenue from cracker sales in India which remained
fairly flat from 2002 to 2004, saw a sudden spike in 2005 before declining again in 2006.
The solid line in the graph below refers to annual sale of crackers and the dashed line refers
to the annual crow births in India. Choose the most appropriate inference from the above
data.

(A) There is a strong correlation between crow birth and cracker sales.
(B) Cracker usage increases crow birth rate.
(C) If cracker sale declines, crow birth will decline.
(D) Increased birth rate of crows will cause an increase in the sale of crackers.

END OF THE QUESTION PAPER

GATE 2018    Textile Engineering and Fibre Science
TF 1/10
Q. 1 – Q. 25 carry one mark each.
Q.1
Let  ?? = [
??   ?? 2 -?? ]  and  ?? = (
-1
1
).  If   ???? = (
-3
1
),  then  |?? |  is equal to
(A) 2 (B) -2 (C) -6 (D) 6

Q.2
If  ??  and  ?? are two independent events such that  ?? (?? ) =
1
4
and  ?? (?? ) =
2
3
,  then
?? (?? ? ?? )  is equal to
(A)
11
12
(B)
1
12
(C)
3
4
(D)
5
6

Q.3  Which one of the following is a leaf fibre?
(A) Coir  (B) Sisal  (C) Jute  (D) Hemp

Q.4  The pair of fibres most prone to accumulation of static charge is
(A) Cotton and Polyester
(B) Silk and Polyester
(C) Polyester and Polypropylene
(D) Silk and Polypropylene

Q.5  Heat-setting of melt-spun and drawn Nylon 6 filament yarn under slack condition leads to
increase in its
(A) Tenacity  (B) Molecular orientation
(C) Molecular weight (D) Dimensional stability

Q.6  Which one of the fibres, having stress-strain curves as shown in the figure, is the most
suitable for making mountaineering ropes?

(A) P  (B) Q  (C) R  (D) S

Q.7  The technology that produces yarn with the maximum fibre migration is
(A) Rotor spinning (B) Friction spinning
(C) Air-jet spinning (D) Ring spinning
P
Q
R
Stress
S
Strain
GATE 2018    Textile Engineering and Fibre Science
TF 2/10
Q.8  The cleaning machine, located in the fine cleaning zone of blowroom, uses the following as
the opening element
(A) Roller with saw tooth wire points
(B) Drum with large spikes
(C) Roller with discs having double edged teeth
(D) Drum with large bladed discs

Q.9  The purpose of having grooves or notches in modern flyer tops in speed frames is to
(A) Increase real twist in roving
(B) Insert false twist in roving
(C) Reduce neps in roving
(D) Increase fineness of roving

Q.10  With time, wind per double traverse in a drum-driven winder
(A) Increases
(B) Decreases
(C) Remains constant
(D) First increases and then decreases

Q.11  In a loom, seven-wheel take-up motion is
(A) Negative and intermittent
(B) Negative and continuous
(C) Positive and intermittent
(D) Positive and continuous

Q.12  The relative humidity (in %) and temperature (in ?C) of standard testing atmosphere are
respectively
(A) 65 and 25 (B) 65 and 20 (C) 60 and 25 (D) 60 and 20

Q.13  In Stelometer, if F is the force acting on a fibre bundle and ? is the angle through which the
pendulum is moved, then F is directly proportional to
(A) sin ? (B) cos ? (C) tan ? (D) cot ?

Q.14  Yarn diameter varies
(A) Directly with yarn packing density
(B) Inversely with yarn packing density
(C) Directly with square root of yarn packing density
(D) Inversely with square root of yarn packing density

Page 5

GATE 2018                                                                                            General Aptitude (GA) Set-4
GA 1/2
Q. 1 – Q. 5 carry one mark each.
Q.1  “When she fell down the _______, she received many _______ but little help. ”

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

(A) stairs, stares (B) stairs, stairs
(C) stares, stairs (D) stares, stares

Q.2  “In spite of being warned repeatedly, he failed to correct his _________ behaviour. ”

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

(A) rational (B) reasonable (C) errant (D) good

Q.3  For 0 = ?? = 2 ?? , sin ?? and cos ?? are both decreasing functions in the interval ________.

(A) ( 0 ,
?? 2
) (B) (
?? 2
, ?? ) (C) (?? ,
3 ?? 2
) (D) (
3 ?? 2
, 2 ?? )

Q.4
The area of an equilateral triangle is v 3. What is the perimeter of the triangle?

(A) 2 (B) 4 (C) 6 (D) 8

Q.5  Arrange the following three-dimensional objects in the descending order of their volumes:
(i)  A cuboid with dimensions 10 cm, 8 cm and 6 cm

(ii)  A cube of side 8 cm
(iii)  A cylinder with base radius 7 cm and height 7 cm
(iv)  A sphere of radius 7 cm

(A) (i), (ii), (iii), (iv)
(B) (ii), (i), (iv), (iii)
(C) (iii), (ii), (i), (iv)
(D) (iv), (iii), (ii), (i)

Q. 6 – Q. 10 carry two marks each.

Q.6  An automobile travels from city A to city B and returns to city A by the same route. The
speed of the vehicle during the onward and return journeys were constant at 60 km/h and
90 km/h, respectively. What is the average speed in km/h for the entire journey?

(A) 72 (B) 73 (C) 74 (D) 75

GATE 2018                                                                                            General Aptitude (GA) Set-4
GA 2/2
Q.7  A set of 4 parallel lines intersect with another set of 5 parallel lines. How many
parallelograms are formed?

(A) 20 (B) 48 (C) 60 (D) 72

Q.8  To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of
6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000
candidates. Question B was answered correctly by 2,50,000 candidates. Question C was
answered correctly by 2,60,000 candidates. Both questions A and B were answered
correctly by 1,00,000 candidates. Both questions B and C were answered correctly by
90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates.
If the number of students answering all questions correctly is the same as the number
answering none, how many candidates failed to clear the test?

(A) 30,000 (B) 2,70,000 (C) 3,90,000 (D) 4,20,000

Q.9
If ?? 2
+ ?? - 1 = 0 what is the value of ?? 4
+
1
?? 4
?

(A) 1 (B) 5 (C) 7 (D) 9

Q.10  In a detailed study of annual crow births in India, it was found that there was relatively no
growth during the period 2002 to 2004 and a sudden spike from 2004 to 2005. In another
unrelated study, it was found that the revenue from cracker sales in India which remained
fairly flat from 2002 to 2004, saw a sudden spike in 2005 before declining again in 2006.
The solid line in the graph below refers to annual sale of crackers and the dashed line refers
to the annual crow births in India. Choose the most appropriate inference from the above
data.

(A) There is a strong correlation between crow birth and cracker sales.
(B) Cracker usage increases crow birth rate.
(C) If cracker sale declines, crow birth will decline.
(D) Increased birth rate of crows will cause an increase in the sale of crackers.

END OF THE QUESTION PAPER

GATE 2018    Textile Engineering and Fibre Science
TF 1/10
Q. 1 – Q. 25 carry one mark each.
Q.1
Let  ?? = [
??   ?? 2 -?? ]  and  ?? = (
-1
1
).  If   ???? = (
-3
1
),  then  |?? |  is equal to
(A) 2 (B) -2 (C) -6 (D) 6

Q.2
If  ??  and  ?? are two independent events such that  ?? (?? ) =
1
4
and  ?? (?? ) =
2
3
,  then
?? (?? ? ?? )  is equal to
(A)
11
12
(B)
1
12
(C)
3
4
(D)
5
6

Q.3  Which one of the following is a leaf fibre?
(A) Coir  (B) Sisal  (C) Jute  (D) Hemp

Q.4  The pair of fibres most prone to accumulation of static charge is
(A) Cotton and Polyester
(B) Silk and Polyester
(C) Polyester and Polypropylene
(D) Silk and Polypropylene

Q.5  Heat-setting of melt-spun and drawn Nylon 6 filament yarn under slack condition leads to
increase in its
(A) Tenacity  (B) Molecular orientation
(C) Molecular weight (D) Dimensional stability

Q.6  Which one of the fibres, having stress-strain curves as shown in the figure, is the most
suitable for making mountaineering ropes?

(A) P  (B) Q  (C) R  (D) S

Q.7  The technology that produces yarn with the maximum fibre migration is
(A) Rotor spinning (B) Friction spinning
(C) Air-jet spinning (D) Ring spinning
P
Q
R
Stress
S
Strain
GATE 2018    Textile Engineering and Fibre Science
TF 2/10
Q.8  The cleaning machine, located in the fine cleaning zone of blowroom, uses the following as
the opening element
(A) Roller with saw tooth wire points
(B) Drum with large spikes
(C) Roller with discs having double edged teeth
(D) Drum with large bladed discs

Q.9  The purpose of having grooves or notches in modern flyer tops in speed frames is to
(A) Increase real twist in roving
(B) Insert false twist in roving
(C) Reduce neps in roving
(D) Increase fineness of roving

Q.10  With time, wind per double traverse in a drum-driven winder
(A) Increases
(B) Decreases
(C) Remains constant
(D) First increases and then decreases

Q.11  In a loom, seven-wheel take-up motion is
(A) Negative and intermittent
(B) Negative and continuous
(C) Positive and intermittent
(D) Positive and continuous

Q.12  The relative humidity (in %) and temperature (in ?C) of standard testing atmosphere are
respectively
(A) 65 and 25 (B) 65 and 20 (C) 60 and 25 (D) 60 and 20

Q.13  In Stelometer, if F is the force acting on a fibre bundle and ? is the angle through which the
pendulum is moved, then F is directly proportional to
(A) sin ? (B) cos ? (C) tan ? (D) cot ?

Q.14  Yarn diameter varies
(A) Directly with yarn packing density
(B) Inversely with yarn packing density
(C) Directly with square root of yarn packing density
(D) Inversely with square root of yarn packing density

GATE 2018    Textile Engineering and Fibre Science
TF 3/10
Q.15  The constant-rate-of-extension type tensile tester is NOT used for
(A) Tongue tear test (B) Wing rip tear test
(C) Elmendorf tear test (D) Trapezoid tear test

Q.16  During bleaching of cotton with hydrogen peroxide, addition of sodium silicate
(A) Reduces the viscosity of bath
(B) Controls the rate of decomposition of perhydroxyl ions (HO
2
-
)
(C) Reduces the surface tension of bath
(D) Enhances swelling of cotton

Q.17  In dyeing of wool with levelling acid dyes, with time, the pH of dye bath
(A) Increases (B) Decreases
(C) Remains constant (D) First increases and then decreases

Q.18  The discharging agent used in discharge printing of cotton with reactive dyes is
(A) Citric acid (B) Sodium dithionite
(C) Thio-urea dioxide (D) Sodium formaldehyde sulphoxylate

Q.19  Application of a fluorochemical based finish on a textile fabric imparts

P. Water repellency
Q. Oil repellency
R. Soil repellency
S. Soil release property

(A) P, Q & R only (B) Q, R & S only
(C) P, R & S only (D) P, Q & S only

Q.20
If  ?? ? = -?? ^ + 2 ?? ^ ,  ?? ? ?
= -?? ^ + 2 ?? ^
and  ?? ? = 2?? ^ - ?? ^
are three vectors such that  ?? ? + ?? ?? ? ?
is
perpendicular to  ?? ? , then the value of  ??  is ______________

Q.21  If   ?? (?? )  is the solution of the differential equation  ?? ?? '
= 8 ?? , ?? (0) = 2 ,  then the
absolute value of  ?? (2) is _______________

Q.22
If  ?? (?? ) = {
4 - ?? , ?? = 2
???? - 4 , ?? > 2
is a continuous function for all real values of  ?? , then  ?? (8)
is equal to _______________

Q.23  A twistless polyester yarn has 90 filaments, each of 2 denier. The metric count of the yarn
is ______________
```
Offer running on EduRev: Apply code STAYHOME200 to get INR 200 off on our premium plan EduRev Infinity!

## GATE Past Year Papers for Practice (All Branches)

380 docs|127 tests

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

;