Jee Main Online Paper 5 CBSE sample paper

8/19/2019 Jee Main Online Paper 5 CBSE sample paper

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Sri Chaitanya IIT Academy, India JEE-MAIN_ONLINE P5_Prepared by CBSE BOARD

Sri Chaitanya IIT Academy., India.A right Choice for the Real Aspirant

Central Office , Madhapur – Hyderabad

Jee-Main_Online_Paper-5PHYSICS

1. The amount of heat produced in an electric circuit depends upon the

current (I), resistance (R) and time (t). if the error made in the

measurements of the above quantities are 2%, 1% and 1% respectively

then the maximum possible error in the total het produced will be.

1) 1% 2) 2% 3) 3% 4) 6%

2. A goods train accelerating uniformly on a straight railway track,

approaches an electric pole standing on the side of track. Its engine passes

the pole with velocity u and the guard’s room passes with velocity . The

middle wagon of the train passes the pole with a velocity.

1)u + υ

2 2) uυ 3) 2 2

1u + υ

2 4)

2 2u + υ2

3. Sand is being dropped on a conveyor belt at the rate of 2 kg per second.

The force necessary to keep the belt moving with a constant speed of

13 ms will be.

1) 6 N 2) 12 N 3) 18 N 4) Zero


2/27

Sri Chaitanya IIT Academy, India JEE-MAIN_ONLINE P5_Prepared by CBSE BOARD4. A block of weight W rests on a horizontal floor with coefficient of static

friction . It is desired to make the block move by applying minimum

amount of force. The angle from the horizontal which the force should

be applied and the magnitude F of the force is

1) θ = 0,F = μW 2) -12

µWθ = tan μ ,F =

1 + µ

3)

-1

2

1 µWθ = tan ,F =

µ 1 + µ 4)

-1 µ µWθ = tan ,F =1 + µ 1 + µ

5. A moving particle of mass m,. makes a head on elastic collision with

another particle of mass 2m, which is initially at rest. The percentage loss

in energy of the colliding particle on collision, is close to

1) 90% 2) 67% 3) 33% 4) 10%

6. A ring is suspended from a point S on its rim as shown in the figure.

When displaced from equilibrium, it oscillates with time period of 1

second. The radius of the ring is (take 2 g )

1) 1.5 m 2) 0.5 m 3) 0.15 m 4) 1.0 m


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Sri Chaitanya IIT Academy, India JEE-MAIN_ONLINE P5_Prepared by CBSE BOARD7. Two point masses of mass 1 m fM and 2 1 1 m f M f are in

outer space (far from gravitational influence of other objects) at adistance R from each other. They move in circular orbits about theircentre of mass with angular velocities 1 for 1 m and 2 for 2 m . In that

case

1) 1 2f ω = 1 - f ω 2) 1 21 - f ω = fω

3) 1 2ω = ω and depend on f 4) 1 2ω = ω and independ on f

8. A steel wire can sustain at the most 100 kg weight without breaking. Ifthe wire is cut into equal parts, each part can sustain at the most a weightof

1) 200 kg 2) 100 kg 3) 50 kg 4) 400 kg

9. A large number of droplets, each or radius, r coalesce to form a biggerdrop of radius, R. an engineer designs a machine so that the energyreleased in this process is converted into the kinetic energy of the drop.Velocity of the drop is (T = Surface Tension; density)

1)

12T 1 1

ρ r R 2)

2

12T 1 1

ρ r R

3)3

12T 1 1

ρ r R 4)

6

12T 1 1

ρ r R

10. A large cylindrical rod of length L is made by joining two identical rods

of copper and steel of length (L/2) each. The rods are completely

insulated from the surroundings. If the free end of the copper rod is

maintained at 0100 C and that of steel at 00 C then the temperature of

junction is (thermal conductivity of copper is 9 times that of steel)

1) 10°C 2) 50°C 3) 90°C 4) 67°C


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Sri Chaitanya IIT Academy, India JEE-MAIN_ONLINE P5_Prepared by CBSE BOARD11. This question has Statement 1, Statement 2. Of the four choices given after the

Statement, choose the one that best described the two statements.

Statement 1: An inventor claims to have constructed an engine that has an

efficiency of 30% when operated between the boiling and freezing points of

water. This is not possible

Statement 2: The efficiency of a real engine is always less than the efficiency of

a Carnot engine operating between the same two temperatures.

1) statement 1 is true, Statement 2 is true. Statement 2 is the correct

explanation of Statement 1.

2) Statement 1 is false, Statement 2 is true

3) statement 1 is true, Statement 2 is true. Statement 2 is not correct


4) Statement 1 is true, Statement 2 is false.

12. The pressure of an ideal as varies with volume as P V , where is a

constant. One mole of the gas is allowed to undergo expansion such that

its volume becomes ‘m’ times its initial volume. The work done by the gas

in the process is

1) 2αV m -12

2) 2α m - 12V

3) 2

2αV m -12

4) 2 2

2α V m - 12


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13. The displacement sin y t A t of a pendulum for23

is

represented correctly by

1) 2)

3) 4)

14. A uniform tube of length 60.5 cm is held vertically with its lower end

dipped in water. A sound source of frequency 500 Hz sends sound waves

into the tube. When the length of tube above water is 16 cm and again

when it is 50 cm, the tube resonates with the source of sound. Two lowest

frequencies (in Hz), to which tube will resonate when it is taken out of

water, are (approximately)

1) 281, 562 2) 281, 843 3) 276, 552 4) 272, 544


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Sri Chaitanya IIT Academy, India JEE-MAIN_ONLINE P5_Prepared by CBSE BOARD15. The flat base of a hemisphere of radius a with no charge inside it lies in a

horizontal plane. A uniform electric field E

is applied at an angle 4

with the vertical direction. The electric flux through the curved surface of

the hemisphere is:

1)

2π + 2 πa E2 2

2) 2πa E

3)

2πa E2 2

4)2

2πa E

16. A charge of total amount Q is distributed over two concentric hollow

spheres of radii r and R(R>r) such that the surface charge densities on

the two spheres are equal. The electric potential at the common centre is

1) 2 20

R - r Q14πε R + r

2) 2 20

R r Q14πε 2 R + r

3) 2 20

R - r Q14πε 2 R + r

4) 2 20

R r Q14πε R + r


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Sri Chaitanya IIT Academy, India JEE-MAIN_ONLINE P5_Prepared by CBSE BOARD17. A 6.0 volt battery is connected to two light bulbs as shown in figure. Light

bulb 1 has resistance 3 Ohm while light bulb 2 has resistance 6 Ohm.

Battery has negligible internal resistance. Which bulb will glow more?

1) Bulb 1

2) Bulb 2

3) Both glow equally

4) Bulb 1 will glow more first and then its brightness will become less

than bulb 2

18. A proton and a deuteron are both accelerated through the same potential

difference and enter in a magnetic field perpendicular to the direction of

the field. If the deuteron follows a path of radius R, assuming the neutron

and proton masses are nearly equal, the radius of the proton’s path will

be

1) R2

2) R 3) 2 R 4) R 2


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Sri Chaitanya IIT Academy, India JEE-MAIN_ONLINE P5_Prepared by CBSE BOARD19. This question has Statement 1, Statement 2. Of the four choices given

after the Statement, choose the one that best describes the two statements.

Statements 1: Self inductance of a long solenoid of length L, total number

of turns N and radius r is less than2 2

0 N r

L

Statement 2: The magnetic induction in the solenoid in Statement 1

carrying current I is 0 NI L

in the middle of the solenoid but becomes less

as we move towards its ends

1) statement 1 is true, Statement 2 is true. Statement 2 is the correct



3) statement 1 is true, Statement 2 is true. Statement 2 is not correct



20. A generator has armature resistance of 0.1 and develops an induced

emf of 120 V when driven at its rated speed. Its terminal voltage when a

current of 50 A is being drawn is,

1) 120 V 2) 70 V 3) 115 V 4) 5 V


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Sri Chaitanya IIT Academy, India JEE-MAIN_ONLINE P5_Prepared by CBSE BOARD21. A coil of self inductance L is connected at one end of two rails as shown in

figure. A connector of length l, mass m can slide freely over the two

parallel rails. The entire set up is placed in a magnetic field of induction B

going into the page. At an instant t = 0 an initial velocity 0 is imparted to

it and as a result of that it starts moving along x axis. The displacement of

the connector is represented by the figure.

1) 2)

3) 4)


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Sri Chaitanya IIT Academy, India JEE-MAIN_ONLINE P5_Prepared by CBSE BOARD22. An electromagnetic wave with frequency and wavelength travels in

the +y direction. Its magnetic field is along +x axis. The vector equation

for the associated electric field (of amplitude 0 E ) is

1) ˆ 0

2πE = E cos ωt - y zλ 2) ˆ

0

2πE = E cos ωt y zλ

3) ˆ 0

2πE = E cos ωt - y x

λ 4) ˆ

02π

E = E cos ωt y xλ

23. A glass prism of refractive index 1.5 is immersed in water (refractiveindex 4/3) as shown in the figure. A light beam incident normally on theface AB is totally reflected to reach the face BC, if

1) sin θ > 8 / 9 2) 2 3sin θ > / 3) 5 9sin θ > / 4) 1 3sin θ > /

24. Two coherent plane light waves of equal amplitude make a small angle

1 with each other. They fall almost normally on a screen. If is

the wavelength of light waves, the fringe width x of interference

patterns of the two sets of waves on the screen is:

1) λ / α 2) λ / 2α 3) 2λ / α 4) λ α


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Sri Chaitanya IIT Academy, India JEE-MAIN_ONLINE P5_Prepared by CBSE BOARD25. This question has Statement 1, Statement 2, of the four choices given after

the Statement, choose the one that best describes the two statements.

Statement 1: A metallic surface is irradiated by a monochromatic light of

frequency 0v v (the threshold frequency). If the incident frequency is

now doubled, the photocurrent and the maximum kinetic energy are also

doubled.

Statement 2: The maximum kinetic energy of photoelectrons emitted

from a surface is linearly dependent on the frequency of the incident

light. The photocurrent depends only on the intensity of the incident light.


2) Statement 1 is true, Statement 2 is true. Statement 2 is the correct


3) Statement 1 is true, Statement 2 is true. Statement 2 is not the correctexplanation of Statement 1.

4) Statement 1 is false, Statement 2 is true.

26. The decay constants of a radioactive substance for and emission are

and respectively. If the substance emits and simultaneously,

then the average half life of the material will be.

1) α β1 T + T2 2) α βT + T 3)α β

α β

T T

T + T 4)

2 α β

α β

T T

T + T

27. Ionisation energy of Li (Lithium) atom in ground state is 5.4 eV. Binding

energy of an electron in Li ion in ground state is 75.6 eV. Energy

required to remove all three electrons of Lithium (Li) atom is

1) 81.0 eV 2) 156.6 eV 3) 203.4 eV 4) 135.4 eV


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Sri Chaitanya IIT Academy, India JEE-MAIN_ONLINE P5_Prepared by CBSE BOARD28. Which one of the following is the Boolean expression for NOR Gate?

1) Y = A . B 2) Y = A + B 3) Y = A 4) Y = A . B

29. Given the electric field of a complete amplitude modulated wave as

ˆ 1 cos cos m c m c c

E E iE t t

E

Where the subscript c stands for the carrier wave and m for the

modulating signal. The frequencies present in the modulated wave are

1) c mω and ω 2)2 2

c c mω and ω + ω

3) c c mω and ω ω 4) c c m c mω , ω + ω ,ω - ω

30. N divisions on the main scale of a vernier calipers coincide with (N+1)

divisions of the vernier, scale. If each division of main scale is ‘a’ units,

then the least count of the instrument is

1)a

N + 1 2) a 3)

N×a

N + 1 4)

aN


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Sri Chaitanya IIT Academy, India JEE-MAIN_ONLINE P5_Prepared by CBSE BOARDCHEMISTRY

1. When 2CO g is passes over red hot coke it partially gets reduced to

CO(g). upon passing 0.5 litre of 2CO g over red hot coke, the total

volume of the gases increased to 700 mL. the composition of the gaseousmixture at STP is:

1) 2CO = 200mL;CO = 500mL

2) 2CO = 350mL;CO = 350mL

3) 2CO = 300mL;CO = 400mL

4) 2CO = 0.0mL;CO = 700mL

2. An open vessel at 300 K is heated till 2/5 th of the air in it is expelled.

Assuming that the volume of the vessel remains constant, the temperature

to which vessel is heated, is:

1) 400 K 2) 750 K 3) 1500 K 4) 500 K

3. Ammonium chloride crystallizes in a body centred cubic lattice with edge

length of unit cell of 390 pm. If the size of chloride ion is 180 pm, the zie

of ammonium ion would be:

1) 158 pm 2) 142 pm 3) 126 pm 4) 174 pm

4. If the kinetic energy of an electron is increased four times, the wavelength

of the de-Broglie wave associated with it would become:

1) Half 2) One fourth 3) Two times 4) Four times


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Sri Chaitanya IIT Academy, India JEE-MAIN_ONLINE P5_Prepared by CBSE BOARD5. The compound of Xenon with zero dipole moment is :

1) 4XeOF 2) 2XeO 3) 3XeO 4) 4XeF

6. The enthalpy of neutralization of 4NH OH with HCl is151.46 kJ mol

and the enthalpy of neutralization of NaOH with HCl is 155.90 kJ mol .

The enthalpy of ionization of 4 NH OH is :

1) 14.44 kJ mol 2) 14.44 kJ mol

3)1

107.36 kJ mol 4)1

107.36 kJ mol

7. Liquids A and B form an ideal solution. At 030 C , the total vapour

pressure of a solution containing 1 mol of A and 2 mols of B is 250 mm

Hg. The total vapour pressure becomes 300 mm Hg when 1 more mol of

A is added to the first solution. The vapour pressures of pure A and B atthe same temperature

1) 450, 150 mm Hg 2) 150, 450 mm Hg

3) 250, 300 mm Hg 4) 125, 150 mm Hg

8. The value of Kp for the equilibrium reaction 2 4 22 N O g NO g is 2.

Is percentage dissociation of 2 4 N O g at a pressure of 0.5 atm is :

1) 71 2) 25 3) 50 4) 88


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Sri Chaitanya IIT Academy, India JEE-MAIN_ONLINE P5_Prepared by CBSE BOARD9. If sp K of 2CaF at

025 C is 101.7 10 , the combination amongst the

following which gives a precipitate of 2CaF is :

1) 3 2 51 10 and 1 10 M Ca M F

2) 4 2 41 10 and 1 10 M Ca M F

3) 2 2 31 10 and 1 10 M Ca M F

4) 2 2 51 10 and 1 10 M Ca M F

10. The standard potentials of 2 22 / , / 2 , / Ag Ag Hg Hg Cu Cu and

2

/ Mg Mg electrodes are 0.80, 0.79, 0.34 and –2.37 V, respectively. Anaqueous solution which contains one mole per litre of the salts of each of

the four metals is electrolyzed. With increasing voltage, the correct

sequence of deposition of the metals at the cathode is:

1) Mg, Cu, Hg, Ag 2) Ag, Hg, Cu, Mg

3) Ag, Hg, Cu only 4) Cu, Hg, Ag only

11. For a reaction A Products, a plot of 12

log t versus 0log a is shown in the

figure. If the initial concentration of A is represented by 0 a , the order ofthe reaction is:

1) One 2) Two 3) Three 4) Zero


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Sri Chaitanya IIT Academy, India JEE-MAIN_ONLINE P5_Prepared by CBSE BOARD12. On addition of 1 mL of 10% NaCl solution to 10 mL gold sol in the

presence of 0.025 g of starch, the coagulation is just prevented. Starch

has gold number :

1) 0.025 2) 0.25 3) 2.5 4) 25

13. Which pair of elements with the given atomic numbers is expected to

have similar properties?

1) 11, 12 2) 20, 36 3) 40, 72 4) 10, 28

14. Extraction of zinc from zinc blende is achieved by

1) roasting followed by self-reduction

2) electrolytic reduction

3) roasting followed by reduction with another metal

4) roasting followed by reduction with carbon

15. Square-planar geometry is shown by:

1)2

4 NiCl

2) 4 MnO 3)24CrO 4) 2 3 2 PtCl NH

16. Which one of the following will react most vigorously with water?

1) Li 2) K 3) Na 4) Rb

17. Which of the following has the square planar structure?

1) 4 NH 2) 4CCl 3) 4 XeF 4) 4 BF

18. Which of the following paramagnetic ions would exhibit a magnetic

moment (spin only) of the order of 5 BM?

(At Nos. Mn = 25, Cr = 24, V = 23, Ti = 22)

1) 2 n M 2) 2Cr 3) 2V 4) 2Ti


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Sri Chaitanya IIT Academy, India JEE-MAIN_ONLINE P5_Prepared by CBSE BOARD19. The correct order of ligands in the Spectrochemical series is :

1) CN en NCS Cl 2) NCS CN Cl en

3) en CN Cl NCS 4) Cl en CN NCS

20. Fog is a colloidal solution of :

1) liquid particles dispersed in gas

2) gaseous particles dispersed in a liquid

3) solid particles dispersed in a liquid

4) slid particles dispersed in gas

21. Among the following the molecule with the lowest dipole moment is :

1) 3CH Cl 2) 2 2CH Cl 3) 3CHCl 4) 4CCl

22. The IUPAC name of the following compound is :

1) (E) – 5 – hepten – 3- yne 2) (Z) – 5 – hepten – 3- yne

3) (E) – 2 – hepten – 3- yne 4) (Z) – 2 – hepten – 3- yne

23. The major product obtained in the photobromination of 2-methyl butane

is:

1) 1 – bromo – 2 – methylbutane





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Sri Chaitanya IIT Academy, India JEE-MAIN_ONLINE P5_Prepared by CBSE BOARD24. The product of the reaction between ethyl benzene and N-bromo

succinamide is:

1) 2)

3) 4)

25. Reagent used to convert allyl alcohol to acrolein is:

1) 4 KMnO 2) 2 2 H O 3) 2 MnO 4) 4OsO

26. The order of basicity of the compounds:

Is :

1) I >III > II > IV 2) IV > I > III > II

3) III > I > IV > II 4) II > I > III > IV

27. Which of the following is a polyamide:

1) Nylon 2) Orlon 3) Teflon 4) Terylene


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Sri Chaitanya IIT Academy, India JEE-MAIN_ONLINE P5_Prepared by CBSE BOARD28. Which of the following is a non-reducing sugar?

1) Sucrose 2) Lactose 3) Fructose 4) Maltose

29. Aspirin can be prepared by the reaction of:

1) Salocylic acid with Acetic anhydride in presence of 2 4 H SO

2) Salocylic acid with methanol in presence of 2 4 H SO

3) Salicylic acid with acetic anhydride in presence of 2 4 H SO

4) Cinnamic acid with acetic anhydride in presence of 2 4 H SO

30. Beilstein test is used for the estimation of which one of following

elements?

1) N 2) Cl 3) S 4) C and H


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Sri Chaitanya IIT Academy, India JEE-MAIN_ONLINE P5_Prepared by CBSE BOARDMATHEMATICS

1. If P(s) denotes the set of all subsets of a given set S, then the number of

one – to – one functions from the set 1,2,3S to the set P(S) is :

1) 8 2) 24 3) 320 4) 336

2. Let Z and W be complex numbers such that Z W , and arg Z denote

the principal argument of Z.

Statement 1: If arg arg Z W , then Z W

Statement 2: Z W implies arg arg Z W .

1. Statement 1 is true, Statement 2 is true; Statement 2 is a correct

explanation for Statement 1.

2. Statement 1 is true, Statement 2 is true; Statement 2 is not a correct


3. Statement 1 is true, Statement 2 is false

4. Statement 1 is false, Statement 2 is true

3. Let , , p q r R and r>p>0. If the quadratic equation 2 0 px qx r has

tow complex roots and , then is :

1) equal to 1.

2) equal to 23) less than 2 but not equal to 1

4) greater than 2


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Sri Chaitanya IIT Academy, India JEE-MAIN_ONLINE P5_Prepared by CBSE BOARD4. If a,b,c are non zero complex numbers satisfying 2 2 2 0 a b c and

2 2

2 2 2 2 2

2 2

b c ab ac

ab c a bc ka b c

ac bc a b

, then k is equal to:

1) 1 2) 2 3) 3 4) 4

5. If T A denotes the transpose of the matrix

0 0

0

a

A b c

d e f

, where a, b, c, d

e and f are integers such that 0 abd , then the number of such matrices

for which1 T

A A is :

1) 3 2! 2) 32 3) 23 4) 2 3!

6. The number of arrangements that can be formed from the letters a,b, c,

d, e, f, taken 3 at a time without repetition and each arrangement

containing at least one vowel, is:

1) 24 2) 72 3) 96 4) 128

7. If 2 m n C , then the value of 2

n C is given by:

1) 1 4 m C 2)1

4 m C 3)2

42 m C 4) 1 43

m C

8. Suppose and 0 are such that sec , sec and sec are

in A.P. if cos cos 2 k

for some k, then k is equal to:

1) 12

2) 1 3) 2 4) 2


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9. The sum of the series4 10 28

1 ______3 9 27

upto n terms is :

1) 11 13 3.2 n

n 2) 11 12 2.3 n

n

3) 17 1 16 6 3.2 n

n 4) 15 7 13 6 2.3 n

n

10. Let : 1, 3 f R be a function satisfying 6 x

f x x x

, for all

2 x and 2 1 f , where R is the set of all real numbers and [x] denotes

the largest integer less than or equal to x.

Statement 1 :2

lim x

f x exists

Statement 2: f is continuous at x = 2.

1) Statement 1 is true, Statement 2 is true; Statement 2 is a correct

explanation for Statement 1

2) Statement 1 is true, Statement 2 is true; Statement 2 is not a correctexplanation for Statement 1

3) Statement 1 is true, Statement 2 is false


11. If 10 8 6 3 23 7 5 21 3 7 f x x x x x x , then 301 1

lim3

f f

is :

1)553

2)533

3)533

4)553


23/27

Sri Chaitanya IIT Academy, India JEE-MAIN_ONLINE P5_Prepared by CBSE BOARD12. Consider a quadratic equation 2 0 ax bx c , where 2 3 6 0 a b c

and let2 2

3 2 x x

g x a b cx .

Statement 1: The quadratic equation has at least one root in the internal

(0, 1).

Statement 2: The Rolle’s Theorem is applicable to function g(x) on the

interval [0, 1].


explanation for Statement 1

2) Statement 1 is true, Statement 2 is true; Statement 2 is not a correctexplanation for Statement 1



13. The weight W of a certain stock of fish is given by W n , where n is thesize of stock and w is the average weight of a fish. If n and w change with

time t as2

2 3 n t and2

2w t t , then the rate of change of W withrespect to t at 1 t is:1) 1 2) 5 3) 8 4) 13

14. The general solution of the differential equation 22 dy

y x dx x

, is :

1)3

2

5 x

y cx 2)3

2

5 x

y cx

3)2

3

4 x

y cx 4)2

3

4 x

y cx


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15. If2 2

22

sinsec

1 x x

f x xdx x

and 0 0 f , then f(1) equals:

1) 14

2)4

3) tan14

4) tan1 1

16. the value of the integral0.9

0[ 2[ ] x x dx , where [.] denotes the greatest

integer function, is:

1) 0 2) 0.9 3) 1.8 4) –0.9

17. The area of the region bounded by the curve 3 y x , and the lines, 8 y

and 0 x is :1) 8 2) 10 3) 12 4) 16

18. A value of 1 12

tan sin cos3

is :

1) 2 2) 3 3) 6 4) 4

19. If 0 a b c

, 3, 5 a b and 7 c , then the angle between a and b

is :

1)6

2)4

3)3

4)2

20. If ˆ ˆ ˆ ˆ ˆ ˆ2 3 , 2 3 a i j k b i j k

and ˆ ˆ ˆ2 1 c ri j r k are three

vectors such that c is parallel to the plane of a and b

, then r is equal to:1) –1 2) 0 3) 0 4) 2


25/27

Sri Chaitanya IIT Academy, India JEE-MAIN_ONLINE P5_Prepared by CBSE BOARD21. Let p and q be two statements. Amongst the following, the statement that

is equivalent to p q is :

1) ~ P q 2) ~ p q 3) ~ p q 4) ~ p q

22. statement 1 : The shortest distance between the lines2 1 2 x y z and

1 1 14 2 4

x y z is 2

Statement 2 : The shortest distance between two parallel lines is the

perpendicular distance from any point on one of the lines to the other

line.1) Statement 1 is true, Statement 2 is true; Statement 2 is a correct


2) Statement 1 is true, Statement 2 is true; Statement 2 is not a correct


3) Statement 1 is true, Statement 2 is false4) Statement 1 is false, Statement 2 is true

23. If the three planes 5,2 5 3 2 0 x x ay z and 3 3 0 bx y z contain

a common line, then (a, b) is equal to :

1)8 1

,15 5

2)8 1

,15 5

3)1 8

,5 15

4)1 8

,5 15

24. If six students, including two particular students A and B stand in a row,

then the probability that A and B are separated with one student in

between them is:

1) 1/5 2) 2/15 3) 4/15 4) 8/15


26/27

Sri Chaitanya IIT Academy, India JEE-MAIN_ONLINE P5_Prepared by CBSE BOARD25. The median of 100 observations grouped in classes of equal width is 25. If

the median class interval is 20 – 30 and the number of observations less

than 20 is 45, then the frequency of median class is:

1) 10 2) 12 3) 15 4) 20

26. If the foci of the ellipse2 2

2 116 x y

b coinside with the foci of the hyperbola

2 2

1144 81 25 x y , then 2 b is equal to:

1) 10 2) 9 3) 8 4) 7

27. The equation of the normal to the parabola, v at 4 x is :

1) 2 0 x y 2) 2 0 x y 3) 2 x y 4) 6 x y

28. If the line 1 y mx meets the circle 2 2 3 0 x y x in two points

equidistant from and on opposite sides of x-axis, then:

1) 2 3 0 m 2) 2 3 0 m 3) 3 2 0 m 4) 3 2 0 m


27/27

Sri Chaitanya IIT Academy, India JEE-MAIN_ONLINE P5_Prepared by CBSE BOARD29. Let L be the line 2 y x , in the two dimensional plane.

Statement 1: The image of the point (0, 1) in L is the point4 3

,5 5

Statement 2: the points (0,1) and 4 3,5 5 lie on opposite sides of the line L

and are at equal distance from it.



2) Statement 1 is true, Statement 2 is true; Statement 2 is not a correct




30. If three distinct points A, B, C are given in the 2-dimensional coordinate

plane such that the ratio of the distance of each one of them from the

point (1, 0) to the distance from (–1, 0) is equal to12

, then the

circumcentre of the triangle ABC is at the point:

1) 0,0 2)1

,03

3) 3, 0 4)5

,03

Jee Main Online Paper 5 CBSE sample paper

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Transcript of Jee Main Online Paper 5 CBSE sample paper