Sample Paper ECAT
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Sample Paper ECAT
Total number of Sections = 04 Total number of Questions = 100 Time Allowed = 80 minutes
Instructions The Sample Paper is totally MCQ Based, consisting of Question statements and ve Answer choices. You have to select the correct answer choice and ll the corresponding circle/bubble in MCQ response form. Note: This sample paper does not include quantitatively the same number of questions as there would be in actual paper. This is merely meant to provide conceptual guidance to the candidates. For further practice and guidance, you may consult Preparation guide books of SAT, GRE and Dogor’s Publisher book for NAT I, II
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CHEMISTRY (Questions 1-30)
a ) Linear polymer b ) Branched polymer
Each question has four possible answers. Choose the correct answer and encircle it. 1
2
3
The large molecules which are formed by the monomers are called as:
c ) Inter connected polymers d ) None of these 6
a ) Micro molecules
a ) Linear
b ) macro-molecules
b ) branched
c ) both a & b
c ) cross linked
d ) none
d ) All of these
Macromolecules are classied into:
7
a ) Dissociation parameter
b ) inorganic
b ) Dissociation polymer
c) both a & b
c ) Degree of polymerization
d ) None
d ) None of these
Organic macro molecules are classied into:
8
b)1
c ) both a & b
c ) D.P
d ) None Which is not a bio polymer is: a ) Lipids b ) Proteins c ) carbohydrates d ) None of these The other name for cross linked polymers is:
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Molecular-mass of polymer = Mol. Mass of monomwer x Y the Y is _________ a ) 1000
b ) synthetic polymers
5
In macromolecules DP stands for:
a ) organic
a ) biopolymers
4
A polymer may be:
d ) All of these 9
A polymer may be: a ) Homopolymer b ) Co-polymer c ) Teropolymer d ) All of these
Sample Paper ECAT
10
The polymers which can be resoften again & again are called resoften: a ) Thermoplastic
11
c ) CH d ) none of these 15
b ) Thermosetting
a ) monosaccharides
c ) both a & b
b ) Oligosaccharides
d ) none
c ) Polysaccharides
The polymers which can not be resoften again & again are called: a ) Thermoplastic Thermosetting
d ) None of these 16
b ) ketoses
c ) both a & b
c ) Either a & b
d ) none Which polymerization is free radical mechanism biased
d ) None of these 17
a ) Addition
b ) Sugars
c ) both a & b
c ) Liquids
d ) None The temp & pressure use for PVC polymerization is: a ) 10 oC & 10 atm
d ) Non-Sugars 18
b ) Sugars
c ) 52 oC & 9 atm
c ) Liquids
d ) 100 oC & 10 atm The general formula for carbohydrate is: a ) Cx(H2O)y b ) CnH2n+2
Polysaccharides are also called: a ) Crystals
b ) 20 oC & 20 atm
14
Monosaccharides and oligosaccharides are generally called as: a ) Crystals
b ) Condensation
13
Monosaccharides are: a ) Aldoses
b ) Thermosetting
12
(CH2O)n is general formula for:
d ) Non-Sugars 19
Glycogen is stored in: a ) Animals b ) Plants
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20
c ) Soil
b ) Complex proteins
d ) None of these
c ) Derived proteins
∝-D-glucose is a monomer for a ) Starch
d ) All of these 25
b ) Cellulose
a ) activator
c ) Glycogen
b ) Macroproteins
d ) Proteins 21
c ) Prosthetic
β D-glucose is a monomer for: a ) starch b ) Cellulose
d ) None 26
c ) Glycogen
b ) Complex proteins
A high molecular weight organic materials, which upon hydrolysis give amino acid is called: a ) Fats b ) Proteins
c ) derived proteins d ) None 27
b ) Secondary structure
d ) None of these
b ) Complex proteins c ) Derived proteins d ) All of these 24
c ) Tertiary structure
Proteins are classied into: a ) Simple protein
The protein which only yield amino acids and their derivatives: a ) Simple protein
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Proteins may have: a ) Primary structure
c ) carbohydrates 23
The protein which is derived by conjugate proteins are called as: a ) Simple proteins
d ) Protein 22
When a protein is attached with a non-proteins group that non-proteinic group is called:
d ) All of these 28
The three dimensional folding and twisting of a polypeptide chain give rise to: a ) Primary structure b ) Secondary structure c ) Tertiary structure d ) All of these
Sample Paper ECAT
29
Ester of fatty acids with glycerol are:
33
a ) Simple lipids
30
b ) Complex lipids
a ) Displacement
c ) derived lipids
b ) Time Period
d ) None
c ) Frequency d ) Amplitude
Sterols, vitamin D and terpenes belong to: a ) Simple lipids
34
a ) Frequency
c ) derived lipids
b ) Time Period
d ) None
c ) Time d ) Displacement 35
Each question has four possible answers. Choose the correct answer and encircle it. To and fro motion of a body about its mean position is known as: b ) Rotatory motion
b ) 40 N/m c ) 10 N/m d ) 200 N/m 36
c ) Angular motion d ) Vibratory motion
b ) Weight of spring c ) K.E of the spring
a ) Applied force c ) Restoring force
The main cause of an oscillatory motion of an elastic spring is: a ) Mass of the spring
In SHM, the acceleration of a body is directly proportional to: b ) Displacement
A force of 20 N is applied on an elastic spring. If the extension produced in the spring is 10 cm, the spring constant k is: a ) 20 N/m
a ) Linear motion
32
The time taken to complete one revolution is called:
b ) Complex lipids
PHYSICS (Questions 31-60)
31
The maximum distance of vibrating body from mean position is called:
d ) Restoring of the spring 37
A particle performing SHM has displacement equal to:
d ) Amplitude
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a ) - w2 x a ) xo sin wt
b ) w x2 c ) - w x2
b ) xo cos wt
d ) w2 x
c ) Both a & b
41
a ) 1 sec
2
d ) x o sin wt 38
The time period of second pendulum is: b ) 1.5 sec
The angular speed of mass attached with spring is:
c ) 2 sec d ) None of these
a) w
b) w
= =
1
m
p 22p
n
42
A body performing SHM has a displacement x given by the equation x = 30 sin 50t, what is the frequency of oscillation:
k
a ) 0.020 Hz
m
b ) 0.13 Hz c ) 8.0 Hz
c) w
d) w 39
=
22p p
d ) 50 Hz
T
= 22pp
43 m
a ) SHM
k
b ) Angular motion c ) Linear motion
The velocity of a body in SHM is maximum at the:
d ) Rotatory motion
a ) Extreme position b ) Between mean & extreme position c ) Mean position d ) Between extreme & mean 40
The acceleration of projection of a point P on the diameter moving on a circle is:
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When a particle is moving along circular path, its projection along the diameter execute:
44
The total energy of a body executing SHM is directly proportional to: a ) The Amplitude b ) Square of Amplitude c ) Square root of Amplitude
Sample Paper ECAT
d ) None of these 45
The maximum K.E of the mass attached to spring is given by:
=
a ) ( K . E ) max
b ) ( K . E ) max
c ) ( K . E ) max
d ) ( K . E ) max 46
1 2
=
1
=
1
=
1
k x 0 kx
2
d ) V 0 47
K x kx
2
0
b ) V 0
c ) V 0
=
=
=
x
If the mass of a bob of a simple pendulum is doubled, its time period is:
c ) Remains constant d ) One forth
K x kx
2
2
48
When the bob of a simple pendulum is at mean position then it has: a ) Potential energy
K x kx
b ) Kinetic energy
2
m
m
b ) Double
c ) Both a and b d ) None of these 49
x 0
K
a ) One half
The maximum velocity of the mass attached to the end of an elastic spring:
a ) V 0
=
x 0
Total energy of a particle executing SHM at any displacement x is given by: a ) T.E = kx0
K K
b ) T.E =
1 2
K x kx
2 0
m
x
m
c ) T.E =
1
K x kx
2
0
K
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c)1m d ) T.E = 50
1
d)0m
K x kx
54
2
At the centre of the earth, the simple pendulum will:
a ) Pitch ball
a ) Vibrate with double time period
b ) Rubber ball
b ) Vibrate with half time period
c ) Plastic ball
c ) Move with innite time period d ) None of these 51
The direction of both acceleration and restoring force in SHM is:
d ) None of these 55
a ) For more speed b ) To push upward
b ) In opposite direction
c ) To overcome resonance
c ) Perpendicular to each other
d ) To overcome gravity 56
In oscillating motion: a ) P.E remains constant
If a oscillating body is subjected to an external force then it is said to be executing:
b ) K.E remains constant
a ) Free oscillation
c ) Total energy remains constant
b ) Forced oscillation
d ) None of these
c ) Mixed oscillation
57
d ) Damping 53
Damping eect applied on an aeroplane wing is:
a ) In same direction
d ) None of these 52
The amplitude of the lead ball is much greater than that of the:
The body oscillates due to: a ) Gravitational force
If the position of oscillating object is given by the
b ) Frictional force c ) Restoring force
p
equation x = 2 cos t then its displacement after two seconds is: 8 a)3m b)2m
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d ) Deforming force 58
The oscillatory motion which does not repeat after regular interval of time is called: a ) Periodic motion
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59
b ) Circular motion
a ) Sequence
c ) Non-periodic motion
b ) Series
d ) Orbital motion
c ) Real sequence
Acceleration of spring mass system is: a ) Uniform
d ) None of these 63
b ) Variable due to both change in magnitude and direction
60
Generally, we use the symbol to represent the sequence a)a
c ) Variation due to change in direction
b ) an
d ) Variation due to change in magnitude
c ) { an }
In an isolated spring mass system, total energy is: a ) Variable
d ) a1 64
b ) Constant
If the domain of the sequence is nite then the sequence is
c ) Low
a ) Finite
d ) High
b ) Innite c ) Unique
MATH (Questions 61-90) Each question has four possible answers. Choose the correct answer and encircle it. 61
d ) None of these 65
a ) 1st term b ) Middle term
A sequence is a special type of function from subset of N to
c ) Last term d ) Zero term
a)Q b)R c)C d ) Both b & c 62
If all the members of a sequence are real numbers then it is called
An innite sequence has no
66 If a n −
3
= 2n − 5
a ) 2n + 1
,
then
an =
b ) 2n + 3 c ) 2n - 2
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d ) 2n - 8 67
71
Write the next two terms of the sequence 7, 9, 12, 16, ...
What is the nth term of the sequence
4 3
a ) 20, 23 b ) 21, 25
2
,
7 3
2
10 3
,
2
,...
c ) 20, 26 a ) 3n − 1 3
d ) 21, 27 68 What is the sequence, if and
a 4 = 14
an
−
an − 1 = n +1
2
2
b ) (3n + 1)
?
a ) 2, 3, 5, . . . c ) 3n + 1 2
b ) 2, 4, 8, 12, . . . c ) 2, 5, 9, 14, . . . d ) 3, 5, 9, 14, . . . 69 If a n − 2 = sequence?
3n
−
1 , what is the nth term of the
a ) 2n + 5 b ) 3n - 5
d ) 3n + 1 3
72
1 If
a
,
1 b
70
a)
and
a ) 15th term
b)
d ) 31st term
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a−c a+c
b ) 30th term c ) 35th term
ac a+c
Which term of the A.P. 5, 2, -1, . . . is -85?
c)
2
1
c ) 3n + 5 d ) 4n - 5
2
2ac a+c
c
are in A.P. then b =
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d) 73
a −c
c ) b + na
2ac
n+1
Middle term of three consecutive terms in A.P. is the A.M. between the
d ) b - na 76
If 5, 8 are two A.M’s between a and b, what is a & b?
a ) 1st and 2nd term
a ) 2, 9
b ) 2nd and 3rd term
b ) 3, 11
c ) Extreme terms
c ) 2, 11
d ) None of these
d ) 3, 9
74 If A1 , A 2 , . . . , An are n – A.M’s between a and b then what is the common ratio?
77
If A1 , A 2 , . . . , An are n – A.M’s between a and b then A1, + A2+ . . .+An
a)b+c a ) nA n
b)b-a
c)
−
b + a
b ) (n
n
c ) (n + 1)A.M
−
1
d ) (n)A.M.
d ) b − a
78
n+1
75 If A1 , A 2 , . and b then An is
. . , An
The sum of in indicated number of terms in a sequence is called a ) A.P
are n – A.M’s between a
b ) G.P. c ) H.P.
a ) a - nb b ) a + nb
1)A n
d ) Series 79
The sum of rst n-terms of an A.P. is
n+1
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82 a ) Sn =
n 2
(
a1 + a n
)
−
b)1+3+5+7+... c)2+4+6+8+... d ) 1 + 5 + 9 + 13 + . . .
an ) 83
d ) Sn = 80
n+1 2
If a and r are the rst term and common ratio respectively, (n + 1)th term of G.P. is
(a1 + a n )
n
a ) ar
If the partial sum of 19-terms of arithmetic series
2+
7 2
+5+
13 2
+...
n+1
b ) ar
559 is
2
n
c ) ar
, what is
19th term?
−1
d)0 84
a ) 21 b ) 23
If
c ) 26
1 a
,
1 b
and
ratio is
d ) 29 81
How many terms of
−7 + ( − 4) + ( − 1) + . . .
amount to 114?
a)
±
b)
±
a)8 b ) 12 c ) 20
a b b c
d ) 40 c) ±
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then what is the series?
a)2+3+5+7+...
b ) Sn = a1 + a n c ) Sn = n(a1
= n(2n − 1)
If Sn
a c
1 c
are in G.P. then the common
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87 c
d) ± 85
The product of n – G.M’s between a and b is n n
a ) a b2
a
n
21 + 22 + 23 + . . . + 2n =
( b ) 2 (2 c ) 2 (2 a) 2 2
−
n
−1
n
+1
n
n
b ) a b3
)
n
1
n
c ) b a 2
) − 1) −
1
d ) None of these 86 If G1 , G 2 , . . . , Gn are n – G.M’s between a and b then what is the value of r?
n
2 n b d) a a
88 If
G1 , G 2 , . . . , Gn
and b then
b a) a b)
1
a b
a) a
2
. . . Gn
)
n
=
b a
n
b n +1
b)
3
c)
3
b a ab
a
1
1
( )
d ) ab
1
n
1
c)
(G .G
are n – G.M’s between a
n
b 2 a
d) a
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ENGLISH (Questions 91-100)
89
a n + bn
For what value of n, is the G.M. ben −1 n −1 a + b tween a and b? a)0
b)
c)
1 2
−
If Sn = n
→
91
Diabetes are an illness caused by too much sugar in (A) (B) (C) the blood. (D)
92
An ination rate of only 2 percent make a big (A) (B) (C) dierence. (D)
93
The sun, it is one of the million stars, (A) (B) is our only source of heat and light. (C) (D)
94
What have you done with all the money which (A) (B) (C) I gave you last week? (D)
95
The latest lm about that there is a lot of controversy (A) (B) (C) has been banned. (D)
1 2
d ) None of these
90
SPOT THE ERROR: In the following sentences some segments of each sentence are underlined. Your task is to indentify that underlined segment of the sentence, which contains the mistake that needs to be corrected. Fill the bubble / circle corresponding to that letter under the segment in the MCQ Response From
(
a1 1 1
− r n ) − r
and if Sn → as
then the series is a ) Convergent b ) Divergent c ) Does not exist d ) None of these
In each of the following question, four alternative sentences are given. Choose the CORRECT one and ll the bubble / circle corresponding to that letter in the MCQ Response Form. Superior Admission Test
Sample Paper ECAT
96
a ) A fty rupees he gave me were soon spent.
b ) She has many ospring.
b ) A fty rupee he gave me was soon spent.
c ) She has several ospring.
c ) The fty rupees he gave me was soon spent.
d ) She has several many ospring.
d ) The fty rupees he gave me we soon spent. 97
a ) Some of our sta in the USA is being asked to move back home. b ) Some of our sta in USA is being asked to move back home. c ) Some of our stas in the USA are being asked to move back home. d ) Some of our sta in the USA are being asked to move back home.
98
a ) The majority of primary school teachers are women. b ) The majority of primary school teachers is women. c ) A majority of primary school teacher are women. d ) A majority of primary school teacher is women.
99
a ) The Pakistan of the Quaid is struggling for its survival. b ) Pakistan of the Quaid is struggling for its survival. c ) The Pakistan of Quaid is struggling for its survival. d ) Pakistan of Quaid is struggling for its survival.
100
a ) She has several ospring.
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