Upload
subham-maity
View
266
Download
0
Embed Size (px)
Citation preview
8/2/2019 Free Mock Test
1/17
Chemistry
PART-A
SINGLE CORRECT CHOICE TYPE
Q.1 to Q.7 has four choices (A), (B), (C), (D) out of which ONLY ONE is correct.
1. A sample of protein was analysed for metal content and analysis revealed that it contained 0.008%
magnesium, by mass. If each protein molecule contains one magnesium atom, the molar mass of
protein should be (Mg = 24)
1) 30000 gm/mol
2) 300000 gm/mol3) 3000 gm/mol
4) 3000000 gm/mol
Marks:
32. Following conversion can be carried out by
1) I2 / Ca(OH)2, Dry distillation
2) (i) I2/ (ii) NaOH, CaO,
3)
4) NaOH,
Marks: 33. How many -OH group(s) is / are present in peroxodiphosphoric acid.
1) 4
2) 2
3) 14) 3
Marks: 34. What is the value of compressibility factor of a vander waal gas at its Boyle temperature?
1) 1.0 at all pressure
2) 1.0 at low pressure and greater than 1.0 at very high pressure
3) 1.0 at low pressure and less than 1.0 at very high pressure
4) 1.0 at high pressure and less than 1.0 at low pressure
Marks: 35. Which of the following silicate is soluble in water.
1) Na2 SiO3
2) Zr SiO4
3) Sc2[Si2O7]
4) Ca3[Si3O9]
Marks: 3
8/2/2019 Free Mock Test
2/17
6.
(Major product in hemiacetal form)
1)
2)
3)
4)
Marks: 37. Which of the following molecule has least tendency for dimerization.
1)
2)
3)
4)
Marks: 3
8/2/2019 Free Mock Test
3/17
PART-B
PARAGRAPH TYPE
Q.8 to Q.10 has four choices (A), (B), (C), (D) out of which ONLY ONE is correct.
Directions for question 8 to 10:Read the following sequence of reaction.
8. The number of electron gained by Cr atom when gas (E) is passed through it
1) 1
2) 3
3) 2
4) 4
Marks: 39. Compound (F) is
1) PbO
2) PbS
3) PbSO4
4) Na2PbO2
Marks: 310. The compound (G) is
1) Pb(OH)22) PbCrO4
3) PbCrO2
4) Cr(OH)3
Marks: 3PART-C
REASONING TYPE
Q.11 to Q.13 has four choices (A), (B), (C), (D) out of which ONLY ONE is correct.
11. Statement-1 : The temperature coefficient of a single step reaction may be negative.
Statement-2 : The rate of an exothermic irreversible reaction increases with the increase in
temperature.
1) Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.
2) Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-
1.
3) Statement-1 is true, statement-2 is false.
8/2/2019 Free Mock Test
4/17
4) Statement-1 is false, statement-2 is true.
Marks:
312.
Statement-1 : on reaction with Br2 / KOH gives CH3 - NH2 as a
product.
Statement-2 : Hydrolysis of methyl isocynate CH3 - N = C = O by KOH gives CH3 -
NH2 as a product.
1) Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.
2) Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-
1.
3) Statement-1 is true, statement-2 is false.
4) Statement-1 is false, statement-2 is true.
Marks: 313. Statement-1 : He and Ne do not form clathrate compound.
Statement-2 : Down the group of inert gases, induction by the dipole increases.
1) Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.2) Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-
1.
3) Statement-1 is true, statement-2 is false.
4) Statement-1 is false, statement-2 is true.
Marks: 3PART-D
MULTIPLE CORRECT CHOICE TYPE
Q.14 to Q.16 has four choices (A), (B), (C), (D) out of which ONE OR MORE may be correct.
14. Assume that any unstable nucleus may emit only and/or rays. Which of the following nuclei
could not result from the decay of92U235
atoms?
1) 90Th231
2) 89Ac226
3) 89Ac235
4) 82Pb207
Marks:
315. Identify incorrect statement.
1) D-Glucose, D-Mannose & D-Fructose all give same osazone on reaction with Ph-NH-NH2
2) D-Glucose & D-Fructose on catalytic reduction give same products
3) Glucose never react with NaHSO3 Schiff's & Ph-NH-NH2
4) Monomer of natural rubber is neoprene
Marks: 316. Identify the ligands which can cause the linkage isomerism.
1)
2)
3)
4) S2O32-
Marks: 3
8/2/2019 Free Mock Test
5/17
PART-E
MATRIX TYPE
Q.17 has four statements (A, B, C, D) given in Column-I and five statements (P, Q, R, S, T) given in Column-
II. Any given statement in Column-I can have correct matching with one or more statement(s) given in
Column-II.
17. Column I
(Compounds)
Column II
(Can show reaction)
A P Nucleophilic substitution
B Q Electrophilic substitution
C R Dehydrogenation
D S Esterification
1) A-P
2) A-Q
3) A-R
4) A-S
5) B-P
6) B-Q
7) B-R
8) B-S
9) C-P
10) C-Q
11) C-R
12) C-S
13) D-P
14) D-Q
15) D-R
16) D-S
Marks:
8
8/2/2019 Free Mock Test
6/17
PART-F
INTEGER TYPE
Q.18 to Q.19 are "Integer Type" questions. (The answer to each of the questions are upto 4 digits)
18. Vapour pressure of solution containing 6 gm of a non-volatile solute in 180 gm water is 20 torr. If 1
mole of water is further added, the vapour pressure of solution increases by 0.02 torr. Assume the
solution is very dilute.The vapour pressure of pure water at this temperature is
[Answer by multiplying the value of vapour pressure, in torr, by 100]
1) 2021
2) 2022
3) 2023
4) 2024
Marks:
319. An athlete in the weight room lifts a 50 kg mass through a vertical distance of 2.0 m. The
mass is allowed to fall through the 2.0 m distance which is coupled to an electrical
generater. The electrical generater produces an equal amount of electrical work, which is
used to produce aluminium by Hall electrolytic process :
Al2O3 + 3C 2Al + 3CO ; G = 600 kJHow many times must the athlete lift the 50 kg mass to provide sufficient Gibb's energy to
produce 27 gm Al? (g = 10 ms-2)
1) 300
2) 299
3) 3014) 302
Marks: 3Mathematics
PART-A
STRAIGHT OBJECTIVE TYPE
Q.20 to Q.26 has four choices (A), (B), (C), (D) out of which ONLY ONE is correct.
20.
Let f(x) be a function satisfying , then value of is
1) dependent on
2) 0
3) 1
4) -1
Marks:
321. Triangle ABC is inscribed in the circle | z | = a, (a R+). If z1, z2, z3 are the complex
numbers corresponding to the vertices A, B, C of triangle ABC respectively and the
internal bisector of angle A meets the circle at D with complex number z4, then
1) z1z4 = z2z32) z1z3 = z2z4
3) z1z2 = z3z4
4) z2z3 = z42
Marks: 3
8/2/2019 Free Mock Test
7/17
22. The true set of real values of 'a' such that the point M (a, sin a) lies inside the triangle
formed by the lines
x - 2y + 2 = 0, x + y = 0 and x - y - = 0, is
1) (0, )
2)
3)
4)
Marks: 323.
Let A = and det (A4
) = 16, then the product of all possible real values of equals 1) 1/2
2) (-1)/2
3) 0
4) 2
Marks: 324. An ant is situated at the origin on the coordinate plane. Each minute, it either walks one
unit to the right or one unit up, but it will never move in the same direction more than
twice. Number of ways in which ant can move from origin to (5, 5), is
1) 752) 80
3) 82
4) 84
Marks: 325. The in-circle touches side BC of triangle ABC at D and ID is produced to H so that DH = s
(semi-perimeter of triangle). If HBIC is cylic then cot(A/2) is equal to
1) 2 + 3
2) 2 - 3
3)+ 1
4)- 1
Marks: 326.
If and g(x) = {x}2
where {x} is fractional part of x, then area bounded between f(x) and g(x) for x [0, 10]
is
1) 5/3
2) 5
3) 10/3
4) 8/3
Marks: 3
8/2/2019 Free Mock Test
8/17
PART-B
COMPREHENSION TYPE
Q.27 to Q.29 are based upon a paragraph. Each question has four choices (A), (B), (C), (D) out of which ONLY
ONE is correct.
Directions for question 27 to 29:
Paragraph for questions
Consider a general deck of cards which is specified by a number of suits, a sequence of denominations
and a number of Jokers.The deck will consist of exactly one card of each denomination from each suit,
plus the Jokers which are "wild" and can be counted as any possible card of any suit. A 3 card hand
dealt will be a 'straight' if it consists of 3 cards in sequence eg. 1, 2, 3 or 4, 5, 6 but not of 6, 7, 1. Also
3 cards dealt are said to constitute a flush, if all the 3 cards are of the same suit.
27. For a deck with 3 suits, 7 denominations (1, 2, 3, 4, 5, 6, 7) and no Joker, the chance that
a three card hand will be a straight, is
1) 27/38
2) 27/256
3) 1/256
4) 27/266
Marks: 328. For a deck with 3 suits, 7 denominations and no Joker, the chance that a 3 card hand will
be a flush is
1) 3/38
2) 6/55
3) 3/52
4) 6/38
Marks: 329. For a deck with 3 suits, 7 denominations and one Joker the probability that a three card
hand will be a straight flush, is
1) 1/280
2) 3/616
3) 12/385
4) 1/40
Marks: 3PART-C
REASONING TYPE
Q.30 to Q.32 are Reasoning type questions, contains Statement-1 (Assertion) and Statement-2 (Reason). Each
question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct.
30. A fair coin is tossed n times. Let pn denotes the probability that no two (or more) consecutive headsoccur in n tosses.
Statement-1 : The probabilities p2, p3, p4 are in arithmetic progression.
Statement-2 : The probabilities p1, p2, p3,..........., pn are in decreasing order.
1) Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.
2) Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-
1.
3) Statement-1 is true, statement-2 is false.
4) Statement-1 is false, statement-2 is true.
Marks:
3
8/2/2019 Free Mock Test
9/17
31. Statement-1 : If c(b2 - a2) - c2 (2a + c) > 0, then at least one root of the quadratic
equation ax2+ bx + c = 0 must lie in the interval [0, ) where a, b, c R.Statement-2 :For any three real numbers , , , if < 0 then this is true when eitherall three are negative or any two positive and other negative.
1) Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.
2) Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-
1.
3) Statement-1 is true, statement-2 is false.
4) Statement-1 is false, statement-2 is true.
Marks: 332. Statement 1 : If x1, x2, x3 are non-zero real numbers such that =
2(x1 + x2 + x3 + x1x2 + x2x3 + x3x1) then x1, x2, x3are in A.P. as well as in G.P.
Statement 2 : A sequence is in A.P. as well as in G.P. if all the terms in the sequence are
equal and non-zero.
1) Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.
2) Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-
1.
3) Statement-1 is true, statement-2 is false.
4) Statement-1 is false, statement-2 is true.Marks: 3
PART-D
MULTIPLE OBJECTIVE TYPE
Q.33 to Q.35 has four choices (A), (B), (C), (D) out of which ONE OR MORE THAN ONE is/are correct.
33. If 2 tan21 tan22 tan
23 + tan21 tan
22 + tan22 tan
23 + tan23 tan
21 = 1, then which of thefollowing relations hold(s) good ?
1) sin21 + sin22 + sin
23 = 1
2) cos 21+ cos 22+ cos 23 = 1
3) sin21
+ sin22
+ sin23
= 2
4) cos 21+ cos 22+ cos 23 = -1
Marks:
334. Which of the following statement is(are) correct?
1) Let f : [0, 1] R be a differentiable function with f(0) = 0, and 0 f '(x) 2 f(x), then f(x) is
identically zero x [0, 1].
2) If f(x) = x3 + ax2 + bx + 5 sin2x is an increasing function x R, then a2 - 3b + 15 0.
3) If xa ax x (1, ) where a (1, ) then number of values of a satisfying the inequality is exactly
one.4) Let f(x) be a differentiable function in [0, ) with f(0) = 0 and f'(x) is an increasing function
x 0, then is a decreasing function.
Marks: 335. Each of the circles | z - 1 + i | = 1 and | z - 1 - i | = 1 touches internally a circle of radius
2. The equation of the circle touching all the three circles can be
1) 3z + z + - 1 = 0
2) 3z - 7(z + ) + 15 = 03) z - z - - 3 = 0
4) 3z + (z + ) - 1 = 0
Marks: 3
8/2/2019 Free Mock Test
10/17
PART-E
MATCH THE COLUMN
Q.36 is "Match the Column" type. Column-I contains Four entries and column-II contains Five entries. Entry of
column-I are to be matched with one or more than one entries of column-II or vice versa.
36. Column-I Column-II
A
If the side length of regular pentagon is a and diagonals
length is b then find the value of .
P 1
BThe number of real values of x satisfying the
equation , is
Q 3
CThe least integral value of b such that bx2 + 12x - 3x2 + b
> -6 x R, is (T) 9R 4
DThe number of value(s) of z satisfying Re(z2) = 0 and | z |
= 4, isS 7
1) A-P
2) A-Q
3) A-R
4) A-S
5) B-P
6) B-Q
7) B-R
8) B-S
9) C-P
10) C-Q
11) C-R
12) C-S
13) D-P
14) D-Q
15) D-R
16) D-S
Marks:
8PART-F
SUBJECTIVE
Q.37 to Q.38 are "Subjective" type questions. (The answer to each of the questions are upto 4 digit)
37. A variable chord of the circle x2 + y2 = 4 is drawn from P (3, 5) meeting the circle at points A and B.
Point Q is taken on this chord such that PA, PQ, PB are in harmonic progression (A, Q, B lie on thesame side of P). If the area formed bythe locus of P and coordinate axes is m/n, find the minimum
value of (m + n).
1) 21
2) 22
3) 23
4) 24
Marks:
3
8/2/2019 Free Mock Test
11/17
38. Let A = {1, 2, 3,.........., m}, B = {1, 2, 3,..........,n} are two sets of values of and
where (i< i+1, j< j+1 i and j and , (0, 100]) such that for the ordered pair(i, j) the equation x
2(sinx + cosx) - 2(sin( + )x + sin( - )x)x + sinx + cosx =
0 has a positive solution. If then find the value of k.
1) 2010
2) 2011
3) 20124) 2013
Marks: 3Physics
PART-A
SINGLE CORRECT CHOICE TYPE
Q.39 to Q.45 has four choices (A), (B), (C), (D) out of which ONLY ONE is correct.
39. An ideal gas confined into an insulated chamber is allowed to enter into an evacuated insulated
chamber. If Q,W and E int have the usual meanings, then :
1) Q = 0, W 0
2) W = 0, Q 0
3) Eint= 0, Q 0
4) Q = W = E int = 0
Marks:
340. Waves are produced by two coherent point sources S and S' vibrating in phase. In moving
at right angle to line joining S & S' starting from S, we come to a point X where
destructive interference for the second time is encountered. The path difference (S'X - SX)
is 4.5 cm. The wavelength of the waves is
1) 1.5 cm
2) 1.8 cm
3) 3.0 cm
4) data insufficient
Marks: 3
8/2/2019 Free Mock Test
12/17
41. An electron is moving in air at right angles to a uniform magnetic field.The diagram below
shows the path of the electron. The electron is slowing down.
region of magnetic field
Which one of the following correctly gives the direction of motion of the electron and the
direction of the magnetic field?
Direction of motion Direction of magnetic field
A clockwise into plane of paper
B clockwise out of plane of paper
C anti - clockwise into plane of paper
D anti - clockwise out of plane of paper
1) A
2) B
3) C
4) D
Marks: 342. In travelling transverse wave in string for a small element
1) both kinetic and potential energies are maximum at the mean position.
2) both kinetic and potential energies are maximum at extreme position.
3) kinetic energy is maximum at mean position where as potential energy is maximum at extreme
position.
4) kinetic energy is maximum at extreme position and potential energy is maximum at mean position.
Marks: 343. The total flux of the electric field through the six faces of a certain cube is + E where
E is a positive constant. Which of the following statements is not necessarily true ?
1) More electric field lines exit the cube than enter the cube
2) The cube encloses a net positive charge
3) The net charge enclosed by the cube is + 0E
4) The flux of the electric field through one face of the cube is + (1/6) E
Marks: 344. Three long conducting plate A, B & C having charges +q, -2q & +q as shown in figure.
Here plate A and C are fixed. If the switch S is closed. The middle plate (B) will start
moving in
1) Leftward direction
2) Rightward direction
3) will not move
4) First move leftward & then rightward
Marks: 3
8/2/2019 Free Mock Test
13/17
45. In the diagrams, all light bulbs are identical, all cells are ideal and identical. In which
circuit (A, B, C, D) will the bulbs be dimmest ?
1)
2)
3)
4)
Marks: 3PART-B
PARAGRAPH TYPE
Q.46 to Q.48 has four choices (A), (B), (C), (D) out of which ONLY ONE is correct.
Directions for question 46 to 48:
Two cylinder A and B having piston connected by massless rod (as shown in figure). The cross-
sectional area of two cylinders are same & equal to 'S'. The cylinder A contains m gm of an ideal gas at
Pressure P & temperature T0. The cylinder B contain identical gas at same temperature T0 but has
different mass. The piston is held at the state in the position so that volume of gas in cylinder A &cylinder B are same & is equal to V0. The walls & piston of cylinder A are thermally insulated, whereas
cylinder B is maintained at temperature T0 reservoir. The whole system is in vacuum. Now the piston is
slowly released and it moves towards left & mechanical equilibrium is reached at the state when the
volume of gas in cylinder A becomes V0/2. Then (here for gas = 1.5)
46. The mass of gas in cylinder B
1) 2 m
2)3 m
3)m
4) none
Marks: 347. If work done by gas in cylinder B is WB & work done by gas in cylinder A is WA then
1) WA = -WB
2) |WA| > |WB|
3) |WA| < |WB|
4) we can't say anything
Marks: 3
8/2/2019 Free Mock Test
14/17
48. What will be the compressive force in connecting rod at equalibrium
1) PS
2)PS
3) 23/2 PS
4) none
Marks: 3PART-C
REASONING TYPE
Q.49 to Q.51 has four choices (A), (B), (C), (D) out of which ONLY ONE is correct.
49. Two identical spheres of same material, are in a closed chamber. The walls, floor and ceiling are
thermally non-conducting. The thread with which sphere-2 is hanging is also non-conducting.
Statement-1 : Sphere-1will absorb more heat than sphere-2 for the same temperature rise from
5C to 100C.
Statement-2 : Heat supplied to a system is used to raise the internal energy and do work against
the external forces.
1) Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.
2) Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-
1.
3) Statement-1 is true, statement-2 is false.
4) Statement-1 is false, statement-2 is true.
Marks:
350. Statement-1 : Two rigid, identical and uniformly charged non conducting spheres with
same charge are placed on a sufficiently rough surface, then spheres must be in
equilibrium.
Statement-2 : If net force on a point charge is zero it is in equilibrium.
1) Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.
2) Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-
1.
3) Statement-1 is true, statement-2 is false.
4) Statement-1 is false, statement-2 is true.
Marks: 3
8/2/2019 Free Mock Test
15/17
51. Statement-1 : When the upper half of a converging lens is missing, a real image formed
by the lens for a real object will lack its lower half.
Statement-2 : The real image formed by a thin lens for a real objectwill be always
inverted.
1) Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.
2) Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-
1.
3) Statement-1 is true, statement-2 is false.
4) Statement-1 is false, statement-2 is true.
Marks: 3PART-D
MULTIPLE CORRECT CHOICE TYPE
Q.52 to Q.54 has four choices (A), (B), (C), (D) out of which ONE OR MORE may be correct.
52. At ordinary temperature the molecules of an ideal gas have only translational and rotational energy.
At high temperature, they may also have vibrational energy. As a result of this at high temperature.
1) CV = (3R/2) for monoatomic gas
2) CV > (3R/2) for monoatomic gas
3) CV < (5R/2) for Diatomic gas
4) CV > (5R/2) for Diatomic gasMarks:
353. Sound is travelling in a long tube towards right and the graph of excess pressure variation
v/s position (at some instant) is given below.
P, Q, R, S, T are medium particles inside the tube.
1) velocity at P is towards right
2) velocity at R & S is towards left
3) velocity at Q & T is zero
4) Speed at P & R is maximum
Marks: 354. Which of the following statements is/are valid?
1) The sound waves from two tuning forks of the same frequency will interfere constructively at some
points.
2) Two waves, A and B, have the same wave velocity. If A has a higher frequency than B, then A will have
a shorter wavelength
3) In a transverse wave, the motion of the particle of the medium is in the same direction as the wavevelocity
4) The propagation speed (or wave velocity) of a wave can be found by dividing its wavelength by its
period.
Marks: 3
8/2/2019 Free Mock Test
16/17
PART-E
MATRIX TYPE
Q.55 has four statements (A, B, C, D) given in Column-I and five statements (P, Q, R, S, T) given in Column-
II. Any given statement in Column-I can have correct matching with one or more statement(s)given in
Column-II.
55. In the I column, optical system are given. Match the optical system with the image and object
combination possible. The nature of image is not known and the optical system can be at any
position.
Column I Column II
A Convex mirror P
B Concave mirror Q
C Converging lens R
D Diverging lens S
T
1) A-P
2) A-Q
3) A-R
4) A-S
5) A-T
6) B-P
7) B-Q
8) B-R
9) B-S10) B-T
11) C-P
12) C-Q
13) C-R
14) C-S
8/2/2019 Free Mock Test
17/17
15) C-T
16) D-P
17) D-Q
18) D-R
19) D-S
20) D-T
Marks:
8PART-F
INTEGER TYPE
Q.56 to Q.57 are "Integer Type" questions. (The answer to each of the questions are upto 4 digits)
56. The circuit diagram given in the figure shows the experimental setup for the measurement of
unknown resistance by using a meter bridge. The wire connected between the points P & Q has non-
uniform resistance such that resistance per unit length varies directly as the distance from the point
P. Null point is obtained with the jockey J with R1 and R2 in the given position. On interchanging the
positions R1 and R2in the gaps the jockey has to be displaced through a distance from theprevious position along the wire to establish the null point. If the ratio of R1/R2 = 3, find the value of
(in cm). Ignore any end corrections. [Take 3 = 1.7]
1) 32
2) 33
3) 34
4) 35Marks:
357. A conducting tube is passing through a bath. A liquid A at temperature 90C and specific
heat s is entering at one end of tube. Rate of flow of liquid A is 1 kg/s and exit
temperature is 50C. In bath another liquid B having specific heat 2s and inlet
temperature 20C is entering at a rate of 2 kg/s. Find the exit temperature of liquid B
coming out of the bath. (assume steady state condition)
1) T = 90C
2) T = 60C
3) T = 30C
4) T = 20C