INSTRUCTIONS ENTRANCE TEST SAMPLE FOR Aura Programme [ XI to XII...

Transcription

ENTRANCE TEST SAMPLE FOR Aura Programme [ XI to XII Moving]
Duration : 3 hours
Max. Marks : 360
Please read the instructions carefully. You are allotted 5 minutes specifically for this purpose.
INSTRUCTIONS
Do not break the seal of the question paper booklet before instructed to do so by the invigilator.
This Paper contains 90 questions. Please ensure that the Question paper you have received contains ALL THE
QUESTIONS.
1.
QUESTION PAPER FORMAT
All the questions has four choices (A), (B), (C) and (D) out of which only ONE is correct & carry 4 marks
each. 1 mark will be deducted for each wrong answer.
NOTE : GENERALINSTRUCTION FOR FILLING THE OMRARE GIVEN BELOW :
1.
2.
3.
4.
Use only HB pencil or blue/black pen (avoid gel pen) for darkening the bubble.
Indicate the correct answer for each question by filling appropriate bubble in your OMR answer sheet.
The Answer sheet will be checked through computer hence, the answer of the question must be marked by
shading the circles against the question by dark HB pencil or blue/black pen.
While filling the bubbles please be careful about question paper format.
Name of the student
EW Roll Number
I have read all the instructions and shall
abide by them.
I have verified all the information filled in
by the candidate.
................................................................
Signature of the Student
................................................................
Signature of the invigilator
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.
MATHEMATICS
Q.1
A 1
C
B 3
Let A, B, C are the angles of a triangle and tan    , tan   . Then tan is equal to
2
2 4
2 4
(A)
Q.2
1
4
(B)
(B) 5
(B) a + 3
(B) 2
13
16
(C) 8
(D) 2
(C) a + 5
(D) a – 2
(C) 3
(D) 0
The midpoint of interval in which inequality x 2 – 4( x ) 2  12 is satisfied.
(A) 2
Q.6
(D)
The number of real roots of the equation (x – 4)2 + (x – 5)2 + (x – 6)2 = 0 is equal to
(A) 1
Q.5
3
16
The arithmetic mean of 5 consecutive integers starting with m is a. Then, the arithmetic mean of 13
consecutive integers starting from m + 1 is
(A) a + 2
Q.4
(C)
The line segment joining the points (4, 7) & (–2, –1) is a diameter of a circle whose x-intercept is equal
to
(A) 4
Q.3
3
4
(B) 3
(C) 0
(D) 1
A line L has intercepts of 2 & 4 on the coordinate axes, when axes are rotated through a given
angle keeping the origin fixed,the same line L has intercepts of a & b then
(A) 16a2 + 16b2 = 5a2b2
(B) 4a2 + 4b2 = a2b2
(C) a2 + b2 = 20
(D) a2 – b2 = 12
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Add : 46, Rajiv Gandhi Nagar, Kota (Raj.) Ph. 9214211999, 9214213666
2
Q.7
If orthocentre of a triangle with vertices O(0, 0), A(3, 4) and B(4, 0) is point P(3,
3
) then the orthocentre
4
of PAB will be
(A) (0, 0)
Q.8
9
)
4
(C) (3, 4)
(D) (3,
7
)
4
A student read common difference of an AP as –4 instead of 4 and obtained the sum of first 10 terms
as –40. Then the actual sum of first ten terms is equal to
(A) 240
Q.9
(B) (3,
(B) 120
(C) 320
(D) 480
The set of values of a for which the equation x 2 – x a 2 – 3a  2 + a2 – 3a + 2 = 0 has roots of
opposite sign.
(A) a  (1, 2)
(B) a  (–, 1)  (2, )
(C) a 
(D) a  [1, 2]
n
n
n
n
Q.10 The coefficient of xn in the polynomial (x + C0) (x + 3 C1) (x + 5 C2) ...... (x + (2n + 1) Cn) is
(A) n.2n
Q.11
(B) n.2n+1
(C) (n + 1)2n
(D) n.2n–1
The number of ways of rearranging the letters of the word 'EDUWAVE' such that no two vowels are
consecutive, is equal to
(A) 144
(B) 72
(C) 71
(D) 143
Q.12 Let a function f :[1, 3]  R be defined as f (x) = x2 – 4x + 3 then range of f (x) will be
(A) R
(B) [0, )
(C) [–1, 0]
(D) [–1, ]
Q.13 The equation of right bisector of line segment joining (7, 4) and (3, 0) is
(A) x + y = 7
(B) 2x + y = 12
(C) x + 2y = 9
(D) x + y = 10
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Q.14 The number of solutions of the equation, (sinx + cosx + 2 2 )1+ sin 2x = 18, –   x  is equal to
(A) 0
(B) 1
(C) 2
(D) 4
Q.15 If P(r) is the number of points (x, y), (where x, y  I), which lie inside or on the curve
n
|xy| – r(|x|+|y| ) + r2 = 0, r  N then
 P(r) is equal to
r 1
(A)
1
n(4n 2  12n  11)
3
(B)
1
n ( n  1)( 2n  1)
6
(C)
1
n ( n 2  9n  11)
3
(D)
1 2
n ( n  1) 2
4
n((x – 3) 2 (x –1)(4 – x))
Q.16 Number of integer(s), in domain of function f (x) =
is(are) equal to
(x – 2) 4
(A) 2
(B) 3
(C) 0
(D) 1
Q.17 The number of ways of distributing 6 different chocolates among three children of different age groups
such that youngest one gets exactly three chocolates & eldest gets one, is equal to
(A) 10
(B) 20
(C) 60
(D) 120
Q.18 The set denoted by ((A  CC )  (C  BC)  (B  CC)  (C  AC))  (A  B  C) is same
as
(A) A  B  C
(B) AC  BC  CC
(C) ABC  CC
(D) AC  BC CC
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Q.19 The range of function f(x) = sinx + cosx +
tan x
cot x

1  tan x 1  cot x
(A) [1 – 2 , 1  2 ]
(B) [1 – 2, 1  2] – {0,1, 2}
(C) [1 – 2 , 0]  (0, 1  2 )
(D) (1 – 2 , 1  2 )
Q.20 If  are roots of x2 – a(x – 1) + b = 0, then the value of
2  a
1
2  a
1
2
 2

 2

, is equal to
a – b  – a a – b  – a a  b
(A) 2
(B)
1
ab
(C) 0
(D)
4
ab
Q.21 If f : R  S defined by f(x) = |sin 3x| + |cos 3x| is onto then S is equal to
(A) [1, 2]
(B) [0, 2]
(C) [0,
2]
(D) [– 2 , 2 ]
Q.22 The number of integral values of a, for which the equation cos2x + 7 = a(2 – sinx) can have a solution,
is equal to
(A) 0
(B) 2
(C) 4
(D) more than 4
Q.23 Length of common chord of circles x2 + y2 = 4 & (x – 2)2 + y2 = 4
(A) 2 2
(B) 2
(C) 2 3
(D) 6
Q.24 The value of  for which line 3x – 4y +  = 0 is a normal to circle x2 + y2 – 4x – 8y – 5 = 0
(A) 10
(B) 22
(C) –10
(D) –12
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Q.25 A relation R is defind on set of real number such that a R b  a3 = ab2  a, b  R then R is
(A) reflexive & symmetric
(B) reflexive & transitive
(C) symmetric & transitive
(D) An equivalence relation
Q.26 Graph of which of the following functions is symmetrical about line y = x.
(A) f (x) =
1– x
1 x
(B) f (x) = 3x(x+1)
(C) f (x) = x(x + 1)
(D) f (x) = x3
1   1  x 2 1  x 3
2
3
Q.27 If (x) = 1   1   x 1   x then value of (2014) is equal to
1   1  x 2 1  x 3
(A) sec 2n, (n  I)
(B) tan n , (n  I)
(C) cos(2n + 1), (n  I)


(D) sin(4n + 1) –sin(4n – 1) , (n  I)
2
2
Q.28 If the quadratic polynomial f (x) = ax2 + bx + c is such that f (x)  0,  x  R & f (1) = 0, f (2) = 3 then
the value of f (5) is equal to
(A) 25
(B) 16
(C) 36
(D) 48
Q.29 If expression x2 + px +1 is a factor of 2x3 + bx + 4 then b + p is equal to
(A) 4
(B) – 4
(C) – 8
(D) 8
Q.30 Function f(x) = sin[{x}] + tan{[x]} is ([.] & {.} denotes greatest integer function & fractional part
function respectively)
(A) odd function
(B) Even function
(C) Even as well as odd function
(D) Neither odd nor even function
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PHYSICS
Q.31
Q.32
Two small sphere of putty, A and B, of mass M and 3M, respectively
hang from the ceiling on strings of equal length l. Sphere A is drawn
aside so that it is raised to a height h0 as shown figure and then
released. Sphere A collides with sphere B; they stick together and
swing to a maximum height h equal to
(A)
1
h0
16
(B)
1
h0
8
(C)
1
h0
4
(D)
1
h0
3
A 2-kilogram box hangs by a massless rope from a ceiling. A force slowly pulls the box horizontally to
the side until the horizontal force is 10 newtons. The box is then in equilibrium as shown in figure. The
angle that the rope makes with the vertical is closest to
(A) arctan 0.5
(B) arsin 0.5
(C) arctan 2.0
(D) 45º
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Q.33
An electric sander has a continuous belt that rubs against a wood surface as shown schematically. The
sander is 50 percent efficient and draws a power of 1080 watt from a 120 volt line. The belt speed is
10 meters per second. If the sander is pushing against the wood with a normal force of 100 newtons,
the coefficient of friction is most nearly
(A) 0.02
Q.34
(B) 0.54
(C) 0.4
(D) 1.1
A particle of mass M moves in a circular orbit of radius r around a fixed point under the influence of an
attractive force F  
K
, where K is a constant. If the potential enegy of the particle is zero at an
r3
infinite distance from the force centre, the total energy of the particle in the circular orbit is
(A) 
Q.35
K
r2
(B) 
K
2r 2
(C) 0
(D)
K
2r 2
A thin uniform steel chain is 10meters long with a mass density of 2kilograms per meter. One end ofthe
chain is attached to a horizontal axle having a radius that is small compared to the length of the chain. If
the chain initially hangs vertically, the work required to slowly wind it up on to the axle is closest to
(A) 100J
(B) 200J
(C) 1000J
(D) 2000J
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Q.36
The figure shows a small mass connected to a string, which is attached to a vertical post. If the mass is
released when the string is horizontal as shown, the magnitude of the total acceleration of the mass as
a function of the angle is
(A) g sin 
Q.37
(C) 2g sin 
(D) g 3sin 2   1
A uniform rod of length 10 meter and mass 20 kilograms is balanced on a fulcrum with a 40-kilogram
mass on one end of the rod and a 20-kilogram mass on the other end, as shown below. How far is the
fulcrum located from the centre of the rod ?
(A) 0m
Q.38
(B) 2g cos 
(B) 1m
(C) 1.25m
(D) 1.5m
A man of mass m on an initially stationary boat gets off the boat by leaping to the left in an exactly
horizontally direction. Immediately after the leap, the boat, of mass M, is observed to be moving to the
right at speed v. How much work did the man do during the leap (both on his own body and on the
boat)
1
2
(A) Mv
2
1
2
(B) mv
2
1
2
(C) (M  m)v
2
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1
M2 2
)v
(D) (M 
2
m
9
Q.39
A block of mass m sliding down an incline at constant speed is initially at a height h above the ground,
as shown in the figure. The coefficient of kinetic friction between the mass and the incline is . If the
mass continue to slide down the incline at a constant speed, how much energy is dissipated by friction
by the time the mass reaches the bottom of the incline ?
(A) mgh/
Q.40
(B) mgh
(D) mgh sin
A particle of mass m undergoes harmonic oscillation with period T0. A force proportional to the speed
v of the particle. f = –bv, is introduced. If the particle continues to oscillate, the period with f acting is
(A) large than T0
Q.41
(C) mgh/sin
(B) smaller than T0
(C) independent of b
(D) dependent linearly on b
The equation of motion of a rocket in free space can be written
m
dv
dm
u
0
dt
dt
where m is the rocket’s mass, v is its velocity, t is time, and u is a constant. The equation can be solved
to give v as a function of m. If the rocket has m = m0 and v = 0 when it starts, what is the solution?
(A) u m0/m
Q.42
(B) u exp (m0/m)
(C) u sin (m0/m)
(D) none of the above
Young’s modulus of nylon is 5  109 N/m2. A force of 5  105 N is applied to a 2-m length of nylon of
cross sectional area 0.1 m2. By what amount does the nylon stretch?
(A) 2  101 m
(B) 2 102 m
(C) 2 103 m
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(D) 2 104 m
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Q.43
A sealed and thermally insulated container of total volume V is divided into two equal volumes by an
impermeable wall. The left half of the container is initially occupied by n moles of an ideal gas at
temperature T. Which of the following gives the change in entropy of the system when the wall is
suddenly removed and the gas expands to fill the entire volume ?
(A) 2nR ln 2
Q.44
(C) 1/2 nR ln 2
(D) – nR ln 2
A 120 Hz tone has an intensity level of 20 dB. The velocity of sound in air is 340m/s. The bulk modulus
of air is 142 kPa. The pressure amplitude of the sound waves, in SI units, is closest to:
–4
(A) 3 × 10
Q.45
(B) nR ln 2
–5
(B) 3× 10
–5
–4
(C) 6 × 10
(D) 6 × 10
A slab of insulation is made of three layers, as Drawing I indicates.
Each of the layers A, B, and C has the same thickness, but a
different thermal conductivity. Heat flows through the slab, and
the temperatures are as shown. What are the temperatures T1
and T2 in Drawing II where the layers are arranged in a different
order?
250 °C
240 °C 210 °C
A
B
C
150 °C
A
150 °C
Drawing I
T1
T2
(A) T1 = 230 °C and T2 = 170 °C
(B) T1 = 200 °C and T2 = 180 °C
250 °C
(C) T1 = 220 °C and T2 = 160 °C
B
C
Drawing I I
(D) T1 = 180 °C and T2 = 160 °C
Q.46
A mixture of two ideal gases A and B is in thermal equilibrium at 600 K. A molecule of A has onefourth the mass of a molecule of B and the rms speed of molecules of A is 400 m/s. Determine the rms
speed of molecules of B.
(A) 100 m/s
(B) 200 m/s
(C) 400 m/s
(D) 800 m/s
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Q.47
Q.48
Q.49
Q.50
When the gas enclosed beneath the piston shown in the figure receives 1930 J
of heat, Q, from its surroundings, it performs 2250 J of work in raising the
piston. What is the change in the internal energy of the gas?
Q
(A) –320 J
(B) +320 J
(C) –4180 J
(D) +4180 J
A quantity of gas undergoes adiabatic expansion in an insulated container to four times its initialvolume.
The ratio of the specific heat capacities at constant pressure and constant volume, cP/cV , for gas is
approximately 1.5. Determine the final pressure of the gas if the initial pressure is 2.0  105 Pa.
(A) 0.2  105 Pa
(B) 0.4  105 Pa
(C) 4  105 Pa
(D) 0.25  105 Pa
A 5-kilogram stone is dropped on a nail and drives the nail 0.025 meter into a piece of wood. If the
stone is moving at 10 meters per second when it hits the nail, the average force exerted on the nail by
the stone while the nail is going into the wood is.
(A) 10N
(B) 100N
(C) 1000N
(D) 10000N
For a particle position-versus-time graph is shown below?
Which of the following is the velocity versus time graph for the particle ?
(A)
(B)
(C)
(D)
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Q.51. A transverse periodic wave described by the expression
  x
t 
y  sin2   
 2 10 
(where y and x are in meters and t is in seconds) is established on a string. Which one of the following
statements concerning this wave is false?
(A) The wave is traveling in the negative x direction.
(B) The amplitude is 1.0 m.
(C) The frequency of the wave is 0.10 Hz.
(D) The wave travels with speed 5.0 m/s.
Q.52
A transverse periodic wave on a string with a linear density of 0.200 kg/m is described by the following
equation: y = 0.005 sin(420t  21.0x), where x and y are in meters and t is in seconds. What is the
tension in the string?
(A) 4 N
(C) 80 N
(D) 66 N
The distribution of relative intensity I () of black body radiation from a solid object versus the wavelength is shown in figure. If the Wien displacement law constant is 2.9 × 10 –3 m.K, what is the
approximate temperature of the object ?
Intensity
Q.53
(B) 32 N
0
(A) 10K
(B) 50k
2
4
6
(C) 250k
(D) 1500 k
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Q.54
A uniform disk of radius 1.2 m and mass 0.60 kg is rotating at 25 rad/s around an axis that passes
through its center and is perpendicular to the disk. A rod makes contact with the rotating disk with a
force of 4.5 N at a point 0.75 m from the axis of rotation as shown. The disk is brought to a stop in
5.0 s. What is the coefficient of kinetic friction for the two materials in contact?
rotating
4.5 N
disk
(A) 0.22
Q.55
(B) 0.48
0.75 m
(C) 0.64
(D) 0.37
The pulley system shown below operates as a modified lever. Pulley A and pulley B turn together. So
when a person pulls on rope A the mass attached to rope B will be lifted. Which of the following
changes to the system will reduce the force needed to lift the mass?
Pulley A
Pulley B
Rope A
Rope B
m
(A) Increase the length of rope A.
(B) Increase the length of rope B.
(C) Increase the diameter of pulley A.
(D) Increase the diameter of pulley B.
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Q.56
Using the data in the table, determine how many calories are needed to change 100 g of solid X at
10 °C to a vapor at 210 °C. Thermodynamic Constants for Substance X are.
heat of fusion
40.0 cal/g
heat of vaporization
150.0 cal/g
melting point
10.0 °C
boiling point
210.0 °C
specific heat capacity (liquid X )
0.500 cal/(g × C°)
(A) 4000 cal
Q.57
(B) 10 000 cal
(C) 15 000 cal
(D) 29 000 cal
Consider the quasi-static adiabatic expansion of an ideal gas from an initial state i to a final state f.
Which of the following statements is NOT true ?
(B) The entropy of state i equals the entropy of state f.
P(kPa)
(A) No heat flows into or out of the gas.
200
(C) The change of internal energy of the gas is  PdV
(D) The temperature of the gas remains constant.
Q.58
C
500
A
B
2 V(m3)
Statement-1: Elastic forces can be conservative even beyond proportionality limit
Statement-2: Materials can be stretched even beyond proportionality limit. (point till which Hooke’s
law is valid is called proportionality limit)
(A) Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.
(B) Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.
(C) Statement-1 is true, statement-2 is false.
(D) Statement-1 is false, statement-2 is true.
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Q.59
Statement-1 : A body is emitting primarily red light. As the temperature of body is increased it may
emit primarily yellow light.
Statement-2 : Rate of radiation emitted by a body increases as the temperature increases.
Q.60
Figure shows a yo-yo placed on a rough surface friction is sufficient for pure rolling. After force F acts
pure rolling begins.
F
y
x
Statement-1: Angular acceleration of yo-yo is in clockwise sense.
Statement-2: Torque due to F must be larger than the torque due to friction.
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CHEMISTRY
 Cu+2(aq) + 2Ag (s) at equilibrium, [Cu+2] = 'x' M and
Q.61 For the reaction, 2Ag+ (aq) + Cu (s) 
[Ag+] = 'y' M. If volume of solution is doubled by adding water, then at new equilibrium
(A) [Cu+2] =
x
y
M , [Ag+] = M
2
2
(B) [Cu+2] >
x
y
M , [Ag+] > M
2
2
(C) [Cu+2] <
x
y
M, [Ag+] > M
2
2
(D) [Cu+2] <
x
y
M, [Ag+] < M
2
2
Q.62 Which of the following is correct order of stability of given carbocations ?
(I)
(II) CH3 — O — CH — CH3
(III)
(IV)
(A) II > I > III > IV
(B) I > II > III > IV
(C) II > I > IV > III
(D) III > IV > II > I
Q.63 Which of the following molecule is polar as well as planar
(A) NH3
(B) BF3
(C) ICl2–
(D) IF3
Q.64 28 g N2 and 6 g of H2 are heated over a catayst in a closed 1 L flask at 450° C. The NH3 present in
equilibrium mixture required 500 ml of 1.0 M H2SO4 solution for neutralization. The value of KC for
the reaction
 N (g) + 3H (g) is
2NH3(g) 
2
2
(A) 1.69 mol2L–2
(B) 0.03 mol2 L–2
(C) 0.59 mol-2L2
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(D) 0.02 mol–2 L2
17
Q.65 Which of the following is most acidic ?
OH
CH2OH
O2N
OH
OH
NO2
(A)
(B)
(C)
(D)
CH3
NO2
NO2
NO2
NO2
Q.66 Which of the following statement is correct regarding ortho-nitrophenol.
(A) It has intramolecular hydrogen bonding
(B) It has more volatile nature as compare to para-nitrophenol
(C) It has less viscous nature as compare to para-nitrophenol
(D) All above statements are correct
Q.67 If Kp for a reaction is
1
 102 atm 2 at 500 K. Magnitude of KC in mol–2 l2 will be
9
[Take R = 0.08 atm l K–1 mol–1]
(A) 3 × 10–1
(B) .02
(C)
16
9
(D) date insufficient
Q.68 Which of the following is correct order of basic strength ?
–
–
(II) N H2
(I) HC  C
–
(III) OH
(A) IV > I > II > III
(B) II > III > IV > I
(C) IV > II > I > III
(D) IV > III > II > I
–
(IV) CH3
: Rough Space :
18
Q.69 Which is/are amphoteric oxide(s) ?
(A) BeO
(B) SnO
(C) ZnO
(D) All of these
Q.70 The number of maximum possible spectral lines obtained in Balmer series when electron make transition
from 6th excited state to ground state is.
(A) 5
(B) 4
(C) 15
(D) 21
Q.71 Which of the following compound is aromatic ?
O
(A)
(B)
O
(C)
(D)
O
Q.72 (A), (B) and (C) are different elements which belongs to third period in periodic table. Oxide of (A) is
ionic, oxide of (B) is amphoteric and oxide of (C) is a gaint molecule, then which of the following order
of atomic number of (A), (B) and (C) is correct.
(A) (C) < (B) < (A)
(B) (A) < (C) < (B)
(C) (A) < (B) < (C)
(D) (B) < (A) < (C)
Q.73 Calculate K.E. (in eV) of e– in H-atom having velocity approximately 7.2 × 105 m/s
(A) 13.6
(B) 0.85
(C) 1.51
(D) 3.4
Q.74 Which of the following compound have maximum enol content ?
(A) CH3 – C – C – CH3
|| ||
O O
(B) CH3 – C – CH2 – C – CH3
||
||
O
O
O
(C)
(D) Ph – C – CH2 – C – CH3
||
||
O
O
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19
Q.75 EN of the element (A) is E1 and ionisation pontential is E2, hence electron affinity will be
(A) E1 – E2
(B) 2E1 – E2
(C) E`1 – 2E2
(D)
(E1  E 2 )
2
Q.76 100 ml mixture of C2H6, C3H8, C2H4 contain C3H8 20% by volume. If mixture is allow to burn with
excess of air, find the volume of CO2(g) produce. Given all the volume of gases are measured under
similar condition of temp and pressure
(A) 220 ml
(B) 100 ml
(C) 200 ml
(D) data insufficient
Q.77 Find out the correct relation between the given pair ?
O
O
(A) Geometrical isomer
(B) Metamer
(C) Position isomer
(D) Functional group isomer
Q.78 Which of the following element belongs to transition element
(A) T
(B) Te
(C) Ti
(D) Th
Q.79 Volume occupied by one mole of CO2 gas molecules is 0.01 L. If 220 g CO2 is placed in 10 L
container, then the free volume occupied by 220 g of CO2 is
(A) 10 l
(B) .01 l
(C) .04 l
(D) 9.8 l
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20
Q.80 Which of the following pair/pairs of compounds represent correct relationship ?
O
O
||
||
(I) CH3 – C – C – CH3 and CH3 – CH2 – CH2 – C – CH3 (Metamer)
|
CH 3
(II) CH3 – CH – NH – CH3 and CH3 – CH2 – CH2 – NH – CH3 (Position isomer)
|
CH 3
(III) CH3 – CH2 – NH – CH2 – CH3 and CH3 – CH2 – CH2 – NH – CH3 (Metamer)
CH3
|
(IV) CH3 – CH2 – N – CH3 and CH3 – CH2 – CH2 – NH – CH3 (Functional isomer)
(V)
and
(Geometrical Isomers)
(A) I, II, IV
(B) II, III, IV and V
(C) All are correct
(D) V only
Q.81 An element 'A' has five valence electron and 'B' has seven valence electron which belongs to second
short period. A and B form a pentavalent compound. Which type of d-orbitals are participate in their
compound
(A) dxy
(B) dyz
Q.82 The molality of 40%
(A) 7.4
(C) d 2
z
(D) d x 2  y2
w
NaOH solution having density 2 gm/ml is
v
(B) 6.25
(C) 5.75
(D) 8.2
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21
Q.83 Calculate the total number of geometrical isomers possible for the molecule given below :
H–N=N
N=N–H
C=C
N=N–H
H–N=N
(A) 32
(B) 20
(C) 7
(D) 4
Q.84 Calculate how many maximum number of atoms are persent in one plane in CF4 molecule
(A) 4
(B) 3
(C) 5
(D) 6
Q.85 A container 'X' containing He and CH4 in 2 : 1 mole ratio is connected to an evacuated container 'Y' for
short time duration. If container 'Y' finally contains 8 moles of He then number of moles of CH4 in
container 'Y' will be
(A) 2
(B) 32
(C)
1
2
(D) 1
Q.86 IUPAC name of Lactic acid is ?
(A) Propanoic acid
(B) 3, 4-Dihydroxy propanoic acid
(C) 2-Hydroxy propanoic acid
(D) Propane dioic acid
Q.87 Which of the following is incorrect order according to their given property
(A) Al Ga (Atomic radii)
(B) C < O (Electron affinity)
(C) Li < B (Electron affinity)
(D) Sn  Pb (Ionisation potential)
Q.88 If energy of 2nd energy level of Be+3 is '–x' eV/atom then ionisation energy of Li+2 (in eV/atom) is
(A)
9
x
4
9
(B)  x
4
9
x
16
: Rough Space :
(C)
(D) 
9
x
16
22
OH
CH3O
N
Q.89
HO
NH
Cl – C
||
O
Br
In the given compound number of functional groups (excluding C = C) are ?
(A) 5
(B) 8
(C) 6
(D) 7
Q.90 Arrange the following atoms in increasing order of ionisation potential. N, P, C, Si,
(A) P < Si < C < N
(B) Si < C < P < N
(C) N = P = C = Si
(D) Si < P < C < N
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23

INSTRUCTIONS ENTRANCE TEST SAMPLE FOR Aura Programme [ XI to XII...

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