Free Mock Test

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


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


3/17

PART-B

PARAGRAPH TYPE


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


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.


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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.



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.



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


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


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


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


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


8/17

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.



Marks:

3


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.



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.


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


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


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


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


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


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


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


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


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.



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.



Marks: 3


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.



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


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


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

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