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OT-01
SET-A
SECTION1
MULTIPLE CHOICE QUESTIONS WITH ONLY ONE Date:
1 The value of
(a) 0
[e'n dr is
(b)
1
CORRECT ANSWER
1
MATHEMAN
3 (d)
4
2. The value of f2+ sin x
dx is
Jo 1+ cosX
(a) -log2 (b) log 2 (e)
2 (d) o
3. The value of
(e'sin xdk is
la) e?-) +1)
(d) 2(e? +1)
4 The value of -COSx
dx is
3
(1- cos x)?
(a) 3
(b)
5. e
2 te) (d)
The value of
a+xlog x) de
(a) e (b) e -e (c) e +e (d) e
6.
The value ofsec' sin e do is
(a) 3
(b) 5
(c) 4
12 (d)
12
12
7. The value of the integral plog5se've-1
e+3 dx is
(a) 3+2r (b) 4-n (c) 2+I (d) 4+n
8 The value of Jo sec xlog(sec x + tan x) dx is
-ecort eain t - T
e +) 1|Page
SET-A Date: 22-06-2024
11. The value of (cosx- sin x)dr +| (sinx-cos x)dr +| (cosx- sinx) dx is
Jo
13.
V1-x
(d) t
(b)
6 4
dx
The value of is
14.
x(1+x) 32
17 17
(d)
17
(b) log 2
(c) log 4
x+1
15. The value
of J2 x'(x-1) dx is 4 1 16 1
1 16 1 (d) logt
(a) 2log 2 (b) l08 g 6 9 6
6
fSintdt 3
2| Page
SET -A Date
OT-01
d
is
The value of x(1+ In x)
(d) In 2
(b)
3
d
then the value ofSs
x(1+ In x)? (d) -1
(b)2 (c) 4
(a) 1
The value o f f(sin x)dr is
(d)f(sin x)àt
(a) f(sin x)á (b)f(sin x) dk 4ef(sin x)ds 2Jo
do
21. The value of is
Jo 1+ tan
It2
7
2
age
Date: 22-06-2024
SET-A
(a)
1
(b)
1
(c) n+1 n+2
(d) n+1 n +2 -
n+1 n+2
4 | Page
6|Page
Date
SET-A
PHY
OT-01
ANSWER
WITH ONLY ONE CORRECT
SECTION-2 CHOICE QUESTIONS of
MULTIPLE
charge in a coil is independent
induction, the induced
41 In electromagnetic o Time above
flux (d)None of the
(a) Change in the circuit north pole of a magnet
IS broug
(c) Resistance in the room. When the
attached with the wallof a
Ametallic ring is current in the ring will be
near to it, the induced anticlockwise
(a) First clockwise then
(b) In clockwise direction
In anticlockwise direction
(d) First anticlockwise then
clockwise
webers) = 8/'.+3t+ 5.The
linked with a coil is given by an equation P (in
The magneticflux
second will be
induced e.m.f. in the coil at the fourth (d) 145 units
(a) 16 units (b) 39 units t 67 units e.m.f./induced charge
44 Amagnet is brought towardsa coil (i)
speedlv (i) slowlv then the induced
wil;be respectively
.dá) More in first case/ More in first case
(b)More in first case/Equal in both case
(c) Less in first case/More in second case
(d) Less in first case/Equal in both case
given by
The direction of induced e.m.f. during electromagnetic induction is Ampere's law
(a) Faraday's law efLenz's law (c) Maxwell's law (d)
perpendicular to the plane
46. Ina coil of area 10cm and 10 turns with a magnetic field directed
coil is 20 ohm. The
and is changing at the rate of 10°gauss/second. The resistance of the
current in the coil will be
(a) 5 amp (b)0.5 amp (c) 0.05 amp (d) 5x10 amp
47. Acoilof area 100cm has 500turns. Magnetic field of 0.I weber I metre is perpendicular
to the coil. The field is reduced to zero in 0.1 second. The induced e.m.f. in the coil is
(a) 1 V (b) 5 V (c) 50 V (d) Zero
48 Two different loops are concentricand lie in the same plane. The current in the outer loop is
clockwise and increasing with time. The induced current in the inner loop then, is
(a) Clockwise
(b) Zero
(c) Counter clockwise
(d) In a direction that depends on the ratio of the loop radi
49 A circular coil of 500 turns of wire has an enclosed area of
0.lm per turn. It is kept
perpendicular to a magnetic field of induction 0.2 T and rotated by 180° about a
perpendicular to the field in 0.1 sec. How much charge will pass when the coil is diameter
agalvanometer with a combined
resistance of 50 ohms
connected to
(a) 0.2 C (b) 0.4 C (c) 2 C (d)4 c
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SET-A Date: 22-06-2024
E-7
R40
o)
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OT-01 SET-A
58. A square metallic wire loop of side 0.1 m and resistance of Dat
12 is moved with a constant velocity in amagnetic field of 2
wb/m² as shown in figure. The magnetic field is perpendicular
to the plane of the loop, loop is connected to a network of
resistances. What should be the velocity of loop so as to have
asteady current of 1mA in loop
(a) 1 cm/sec (b) 2 cm/sec (c) 3 cm/sec (d) 4 cm/sec
59. Aconductor ABOCD moves along its bisector with avelocity of 1
m/s
through a perpendicular magnetic field of 1 wb/m², as shown in fig. If all A x
the four sides are of 1m length each, then the induced emf
Aand D is between points
D
(a) 0 (b) 1.41 volt
60. (c) 0.71 volt (d) None of the above
A highly conducting ring of radius R is perpendicular to and concentric with the axis of a long
solenoid as shown in fig. The ring has a narrow gap of width d in its
has cross sectional area Aand a uniform circumference. The solenoid
the solenoid current is steadily internal field of magnitude Bo. Now beginning at t = 0,
increased to so that the field
magnitude at any time tis given by B(t)= Bo + at where a>0 Area
Assuming that no charge can flow across the gap, the end A
ring which has excess of positive of
induced e.m.f. in the ring are charge and the magnitude of
(a) X, Aa respectively
(b) X R²a
61. A rectangular loop is being (c) Y, Aa (d) Y, zR2a
pulled at a constant speed v, through a
d, in which auniform magneticfield B is region of certain thickness
set
edge of the loop and the induced emf E will be up. The graph between position x of the right hand
(a) e
(b) E x Bx
(c)
(d)
o
--ROUGH WORK--
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Date:22-06-2024
A SET-A
flexible wire bent in the
magnetic field form of a
circle is placed in a
the coil changes as
the coilis
perpendicular
to the plane of the coil. The uniform
shown in figure. The graph of inducedradius of
represented
by emf in
(at (b)
tls)
(d)
1 2 t
2 t
1 2 t
2 t’
A Square coil ABCD lying in x-v
rougn origin carries a current iplane with it's centre at origin. A
long
(a) Clockwise = 2t in negative z-direction. The inducedstraight wire passb
current in the coli is
((c)bYAnt iclockwise
Alternating
(d) Zero
A
D
64. A copper disc of radius 0.1 m rotates
uniform magnetic field of 0.1 Tesla. The about its centre with 10
revolutions per second in a
emf induced across the radius
(a) 10 v of the disc is
(b) 2y (c) 10 zmV
65.
10 (d) 20 zmV
Acoil of Cuwire
(radius-r, self inductance-L) is bent in two
-, The self concentric turns each having radius
2 inductance now
(a) 2L (b) L
66.
(c) 4 L (d) L/2
The figure represents an area A = 0.5m2
situated in
uniform a
magnetic field B = 2.0 weber/m and making an angle of A
respect tothe magnetic field. The value of the 60 with
the areawould be equal to magnetic flux through B
8| Page
Date:>
SET-A ,
its plane with auniform
in
resistance R movesmagnetic tield B exists perpenA
OT-01
loop of side Iand constant
conducting square
A sides, A uniform and is - X X
67. perpendicular to one of its induced in the loop
current X
9|Page
SET- A
Date: 22-06-2024
iON-3
MULTIPLE CHOICE QUESTIONS WITH ONLY ONE CORRECT ANSWER CHEMISTRY
The reagent in following reaction is
.CHO
OH OH
(a) OH
(b) (c) OH
d)
74. Compound 'A' (molecular formula CsHs0) is treated with acidified potassium dichromate to
form aproduct 'B' (mol. Formula CaHs0). "B' forms a shining silver mirror on warming with
ammonicalAgNOs. 'B' when treated with an aqueous solution of H2NCONHNH2, HCI&sodium
acetate gives a product 'C. Identify the structure of 'C
CH3
(a) CH3CH2CH = NNHCONH2 (b) CH3-C=N-CoNHNH,
(c) CHg- CH = N.NH- CONH2 (d)CH3CH;CH = NCONHNH2
75. The compound formed on heating chlorobenzene with chloral in the presence of
concentrated sulphuric acid is
(a) gammexene (b) DDT (c) freon (d) hexachloroethane.
76. Ozonolysis of an organic compound'A' produces acetone and propionaldehyde in equimolar
mixture. ldentify 'A' from the following compounds :
(a) 1-Pentene (b) 2-Pentene (c) 2-Methyl-2-pentene (d) 2-Methyl-1-pentene
--ROUGH WORK--
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OT-01 SET-A
Da
77. Which one of the following reactions will not result in the formation of carbonati
(a) Reimer-Tieman reaction (b) Friedel Craft's acylation
(c) Wurtz reaction (d) Cannizzaro reaction
78. The major product of following reaction is :
R-C=N () AIH(0-Bu),
(2)H,0
(a) RCONH2 (b) RCH,NH, (c) RCHO (d) RCOOH
79. The major product of the following reaction is
CN
() DIBAL-H
(i)H,o*
CHO
CHO CH=NH
CHO
(a)
(c) OH (d) OH
OH
CHO
80. The major product of thefollowing
reaction is:
NaBha
EtOH
OH OH
(a)
(c) (d)
OEt OEt
81, Which of the following reagents converts both acetaldehyde and
acetone to alkanes?
(a) Ni/H2 (b) LiAlH4 (c) l2/NaOH (d) Zn-Hg/conc.HCI
B< NaBH, (cHCH-CHO HJPd A
Aand Bare respectively :
(a) -CH,CH,CHo, -CH,-CHz-CH,-OH
(b) -CH,CH,CH,0H, -CH,-CH-CH,-OH
(c) -CH CH-CH-OHin both case
d) CH,CH,CH,OH in both case
83. Baeyer's reagent decolourises which ofthefollowing:
(a) Alkane (b)Alkene only
(c) Alkene and alkyne both (d) Benzene
-ROUGH WORK
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SET-A Date: 22-06-2024
The reagent, withwhich
both
(b)Schiffsacetaldehyde
(a) Tollens reagent and
acetone react easily is :
reagent (c) H2/ Ni
OH (d) Fehling's solution
85. The reaction, Ph - CH, -
is known as:
CH = CH-CH CH, Al(BuO),
ketone(excess) APhCH,CH=CH - CH,
(a) Wolff-kishner reduction
(c)
86. Meerwein -Ponndorf reaction
Upon
(b) Oppenauer oxidation
mixing equalvolume of a strong acid (d) Clemmensen reduction
of resulting solution solution (HA) and a strong base (BOH)
(a) may be less than 7 solution, pH
(c) will be equal to 7 (b)may be greater than 7
87. if an
aqueous solution at 25°C has twice as (d) Both (a) &(b)
(a) 6.699 many OH as pure water its
88. (b)7.307 (c) 7 pOH will be
What would be the pH of an
is 3.2? Assume ammonia solution if that of an acetic acid(d) 6.98
(a) 3.2
dissociation constant for NH2& acetic acid are equal. solution of equal strength
89. (b)6.4 (c) 9.6
Which of the following (d) 10.8
(a)Ha0*, H,PO,, HCO constitutes
a set
amphoteric species.
(c)Hz0,H,PO,, HP0 (b)H20, HPO,H,P0;
90. At certain temperature w for water 4 x 101 (d) HC,0,, H,PO,, SO
at the given which of the following is incorrect for
temperature ?log 2 = 0.3
(a)pH = 6.7 and water is acidic
pure water
(c)pOH=6.7 and water is neutral (b)pH = 6.7 and water is neutral
91. 4ml of HCI solution of pH = 2 (d)pH +pOH =13.4
is mixed with 6 ml of NaOH
the final pH of solution ? log 2 = 0.3 solution of pH = 12.
What would be
(a)10.3 (b)11.3 (c)11
92. Equal volumes of pH=2, pH=4 solutions are mixed. (d)4.3
resultant solution Calculate the approximate pH of the
(a) 2.3 (b) 4.4 (c)6.6 (d)2.8
-ROUGH WORK-
2~70.,
Naol1oo'
-2 -9
/0+10
6
Date: 2,
SET-A
OT-01
product
pH of neutral solution is found to be 6.48, Calculate ionic
93. At 50°C, (c) 1.2x10-!3 (d) 1.3x10-12
(a) 1.2x10-14 (b) 1.3x10-14
ionisation of
the common ion effect of NaOH on
94. Calculate the pH of 10°M NaOH. Neglect
H,0 at 25°c
(c) 9.2 (d)7.04
(a) 8.6 (b) 7.8
Calculate its number of H, ions present in 5ml of this
95. pH of the solution is 4 at 25°C.
solution (d) 32x10!7
(a) 30.1 x10-l6 (b) 31x107 (c) 30.1x106
added, the pH of the
100 mlof an aqueous HCl of pH = 1.0, 900 ml of distilled water is
96. If ina
resultant solution will become
(d)6.78
(b) 7.04 (c) 2.0
(a) 2.5
added to 50 ml of N/5 HCL. the pH of the resulting solution Is
97. When 100 mlof N/10 NaOH are
(c) 9 (d)6
(a) 8 (b) 7
98. The pH of 0.5 Maqueous solution of HF (Ka = 2 x 10) is
(c) 4 (d)8
(a) 2 (b) 3
change by
99. 10 mole of NaOH was added to 10 litre of water the pH will
(b) 5 (c) 4 (d) 3
(a)6
ml of 0.4 N HCl and50 of 0.2 N NaOH is :
ml
100. The pH of a solution obtained by mixing 50 (d) 2.5
(a) 1 (b)1.5 (c) 2.2
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2s3
47
S 2
13 |Pae
SET -A
dON - 4 Date: 22-06-2024
14 Page
Da
OT-01 SET-A
SECTION -5
ANSWER
REASO
MULTIPLE CHOICE QUESTIONS WITH ONLY ONE CORRECT
1. Which term of the series 58,11,14,...Is 320? (d) 107th
(c) 10gth
(a) 104th 6) 106th
112. 6,18,3,21,7,56,? (d) 64
(c) 63
(b) 9
39
113.
Fill in the missing(?) term.
(d)47
(a) 35 or37 (c) 45
2
114.
Fill in the missing(?) term
(c) 53 (d) 75
(a) 20 (b)25
12 15 12 25 22
115. 80 81
Fill in the missing(?) term
(a) 80 (b) 81 (c) 161 (d) 141
16. If in acode language, PARENT iS written as BDFGJK and CHILDREN 0s written as
MOXQUFGJ,how is REPRINT written in that code?
(b) FGBUXJK (c) FGBFXGD (d) BGBFXJK X
a FGBFXIK
1. In acoding system, PEN is written as NZO and BARK as CTSL. In this coding system, PRANK is
written as
(a)CSTZN 6) NSTOL (c) NTSL0 (d) NZTOL
In acode language, TUTORIAL 0s written as DODNGLCF and DANCE is written as YCJMZ, how
can EDUCATION be written in that code?
a) ZYMODCLNJ W2YOMCDLNJ (c) ZYOMDCLNJ (d) ZYOTNLCMD
118. f room' is called 'bed', 'bed' is called 'window, 'window' is called leaf and "leaf is called
'refrigerator',on what does a person sleep?
af window (b) bed (c) refrigerator (d) room
120/ If 'clock' is called 'television', 'television' is called 'radio','radio' is called 'oven', 'oven' is
called 'grinder' and 'grinder is called 'iron', in what will a lady bake?
(a) radio (b) oven M
grinder (d) iron
-ROUGH WORK
4%447xS 61
|2 32 0
FGSF NS
64
15| Page
SET-A Date: 22-06-2024
a certaincode
n63' means ´tea language, '617' means
In
is hot. Which of the ´sweet and hot','735 means 'coffee issweet' and
(a) 731
(b) 536 following would mean 'coffee is hot'?
In a
certain code language, '234' (c) 367
means (d) 753
means fire is effect',Which of the spark and fire', '456 means 'spark is cause' and '258'
(a) 3 following numerals is used
- Select the (b) 4
venn diagram which best (c) 5 for'c(d)ause'6?
question Aluminium,Metal, illustrates the three given classes in the
Chlorine following
(a)
(b)
(c)
4.
Select the venn diagram which
questions Paper, Stationery, Inkbest illustrates the three given classes in the following
(a)
(b)
-ROUGH WORK (d)
Date: 22-06-20)4
SET-A
OT-01
(d)1
(a) 3 (b) 4
tets
A26. Which number lies in the square, ellipse and triangler
4
2
11
3
NE
34 45
46
27
- 13S
(a7-8nt
45
|+8ina) 74
Sinz-9
94
F 27
17 | Page
Centre
, of Excellence
Integrated JEE LAUREL
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eparatlon 12B HIGH
(GLOBAL SCHOOL
OT-01_SET-A (22.06.2024)
SEC-1
MAT
SEC-2
PHY
SEC-3
CHE
SEC-4
ENG
SEC-5
REA
2 42 72 102 A 112 A
3 B 43 C 73 103 113 B
4 44 B 74 A 104 C 114 C
5 A 45 B 75 B 105 115
6 46 A 76 106 A 116 A
7 47 B 77 D 107 B 117
48 C 78 108 118
A
D 49 B 79 C 109 A 119 A
10 C 50 A 80 |
C 110 B 120 C
11 D 51 B 81 D 121
12 52 A 82 B 122 D
A
13 B 53 C 83 C 123
14 D 54 C 84 C 124
15 55 D 85 B 125 C
16 D 56 A 86 D 126 D
17 C 57 A 87 A 127 C
18 B 58 B 88 D 128 D
19 59 B 89 C 129 A
C
20 60 A 90 A 130 D
21 D 61 B 91 B
22 B 62 B 92 A
23 C 63 D 93 C
24 C 64 C 94 D
25 D 65 A C
26 66 D 96 C
27 67 D 97 B
28 B 68 A 98 A
29 C 69 A 99 C
30 A 70 B 100 A
31 B
32 B
33 C
34 A
35 B
36 D
37 A
38 A
B
40 D