JEE Main Mock Test Paper 17 JEE 2018 - jaipur.fiitjee.comjaipur.fiitjee.com/sample...

$: JEE Main Mock Test Paper 17 JEE 2018 - jaipur.fiitjee.comjaipur.fiitjee.com/sample paper/XII/XII-V.pdf · an ideal solution and the ratio of mole fractions of A to B in the vapour$
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CHEMISTRY, PHYSICS & MATHEMATICS

Time Alloted: 3 Hours

Writing time – 09.30am – 12.30pm

Maximum Marks: 360

Please read the instructions carefully. You are allotted 5 minutes specifically for this purpose. You are not allowed to leave the Examination Hall before the end of the test.

INSTRUCTIONS

A. General Instructions 1. Attempt ALL the questions. Answers have to be marked on the OMR sheet, provided separately. 2. This question paper contains Three Sections. Section-1 is Chemistry, Section-2 is Physics and Section-3 is Mathematics. 3. This question paper booklet is single-sided. You may use other side of the printed part as Rough space. Do not use any

extra space for Rough work. No additional sheets will be provided for the same. 4. Blank Papers, clip boards, log tables, slide rule, calculator, cellular phones, pagers and electronic devices, in any form, are

not allowed. B. Filling of OMR Sheet 1. Ensure matching of OMR sheet with the Question paper before you start marking your answers on OMR sheet. 2. On the OMR sheet, darken the appropriate bubble with Black or Blue Ball point pen only for each character of your

Enrolment No. and write in ink your Name, Test Centre and other details at the designated places. Bubble your answers also with the same pen / ink.

C. Marking Scheme For All Three Parts. Every question has only ONE correct option. For every question bubbled correctly, you will be allotted 4 marks. No marks will be allotted for unattempted questions. In all other cases, ¼ th marks (i.e. minus 1) will be deducted.

Name of the Candidate :_______________________________________________________________

Batch :_______________________ Enrolment Number : ____________________________

USEFUL DATA PHYSICS

Acceleration due to gravity : g = 10 m/s2 Planck constant : h = 6.6 3410 J s

Charge of electron : e = 1.6 1910 C Mass of electron : 319.1 10em kg

Permittivity of free space : 12 2 2

0 8.85 10 /C N m Density of water : water 3 310 /kg m

Atmospheric pressure : 5 210 /Pa N m Gas constant : R = 8.314 J 1 1K mol

USEFUL DATA CHEMISTRY

Gas Constant R = 8.314 J 1 1K mol = 0.0821 Lit atm 1 1K mol =1.987 2 Cal 1 1K mol

Avogadro’s Number aN = 6.023 2310 1 Faraday = 96500 coulomb 1 calorie = 4.2 joule

Planck’s constant h = 6.625 3410 .J s = 6.6252710 .erg s 1 amu = 1.66

2710 kg 1 eV =191.6 10 J

Atomic No: H = 1, He = 2, Li = 3, Be = 4, B = 5, C = 6, N = 7, = 8, F = 9, Ne = 10, Na = 11, Mg = 12, Si = 14, Al = 13, P = 15, S = 16, Cl = 17, Ar = 18, K = 19, Ca = 20, Cr = 24, Mn = 25, Fe = 26, Co = 27, Ni = 28, Cu = 29, Zn = 30, As = 33, Br = 35, Ag = 47, Sn = 50, I = 53, Xe = 54, Ba = 56, Pb = 82, U = 92. Atomic masses: H = 1, He = 4, Li = 7, Be = 9, B = 11, C = 12, N = 14, O = 16, F = 19, Na = 23, Mg = 24, Si = 28, Al = 27, P = 31, S = 32, Cl = 35.5, K = 39, Ca = 40, Cr = 52, Mn = 55, Fe = 56, Co = 59, Ni = 58.7, Cu = 63.5, Zn = 65.4, As = 75, Br = 80, Ag = 108, Sn = 118.7, I = 127, Xe = 131, Ba = 137, Pb = 207, U = 238.

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JEE Main Mock Test Paper 17– JEE 2018 a FIITJEE team initiative

JEE Main Mock Test Paper- 17 Page 2 a FIITJEE team initiative


Section – 1 CHEMISTRY 1. The NH3 evolved due to complete conversion of N from 1.12 g sample of protein was absorbed in 45 mL of 0.4 N

HNO3 . The excess acid required 20 mL of 0.1 N NaOH . The % N in the sample is: (A) 8 (B) 16 (C) 20 (D) 25

2. A single electron in an ion has ionization energy equal to 217.6 eV. What is the total number of neutrons presents in one ion of it? (A) 2 (B) 4 (C) 5 (D) 9

3. Two closed vessel A and B of equal volume containing air at pressure P1 and temperature T1 are connected to each other through a narrow open tube. If the temperature of one is now maintained at T1 and other at T2 ( where T1 > T2) then what will be the final pressure?

(A) 1

1 22

T

PT (B) 1 2

1 2

2

PT

T T (C) 1 1

1 2

2PT

T T (D) 1

1 2

2P

T T

4. For the reaction taking place at certain temperature NH2COONH4(s) 2NH3(g)+CO2(g), if equilibrium pressure is

3X bar then rG would be

(A) –RT ln 9–3RT ln X (B) RT ln4 –3RT ln X (C) –3RT ln X (D) –RT ln4 –3RT ln X

5. One mole of N2(g) is mixed with 2 moles of H2(g) in a 4 litre vessel. If 50% of N2(g) is converted to NH3(g) by the

following reaction:

2 2 33 2N g H g NH g What will be the value of Kc for the following equilibrium?

2 2 2

1 3

2 2N g N g H g

(A)256 (B) 16 (C)

1

16 (D)

1

256

6. Solubility of AgCN is maximum in: (A) acidic buffer solution (B) basic buffer solution (C)in pure water (D) equal in all solution

7. When NaCl is dopped with 10–5 mole % of SrCl2 , what is the no. of cationic vacancies? (A) 10–5×NA (B) 10–7×NA (C) 2×10–7NA (D) 2×10–5 ×NA

8. Two liquids A and B have vapour pressure in the ratio : 1: 3A BP P at a certain temperature. Assume A and B form

an ideal solution and the ratio of mole fractions of A to B in the vapour phase is 4 : 3, then the mole fraction of B in

the solution at the same temperature is:

(A) 1

5 (B)

2

3 (C)

4

5 (D)

1

4

Space for rough work



9. Consider the following equation for a cell reaction

1

2

; ,

2 2 2 2 ; ,

eq

eq

A B C D E x volt K K

A B C D E y volt K K

then :

(A) 1 2,x y K K (B) 1 22 ,K 2x y K (C) 2

1 2, x y K K (D) 2 2

1 2,x y K K

10. For the electrochemical cell 22

1

( ) ( ) | (1 ) 1 ( )

atm

Pt s H g H M Cu M Cu s , which one of the following statement is true?

(A) H+ ions are formed at anode and Cu is deposited at cathode. (B) H2 liberated at cathode and Cu is deposited at anode. (C) Oxidation occurs at cathode . (D)Reduction occurs at anode

11. For a hypothetical reaction,

3 2 /

& 2 /

A B P H xkJ mole of A

M Q R H xkJ mole of M

These reaction are carried simultaneously in reactor such that the temperature is not changing. If rate of disappearance of B is y M sec–1 then rate of formation ( in M sec–1) of Q is:

(A)2

3y (B)

3

2y (C)

4

3y (D)

3

4y

12. Which one of the following is not used for preparing lyophilic sols? (A) Starch (B) Gum (C) Gelatin (D) Metal sulphide

13. The electron affinity of the following elements can be arranged :

(A) Cl O N C (B) Cl O C N (C) Cl N C O (D) Cl C O N

14. Which of the following compound has maximum “ C–C” single bond length ? (A) CH2CHCCH (B) HCCCCH (C)CH3 CHCH2 (D)CH2CHCHCH2

15. Which of the following halides in inert towards hydrolysis at room temperature? (A) SiCl4 (B) PCl3 (C) NCl3 (D) NF3

16. The ratio of cis and trans-isomers of the complex 2

nMa bcde

is:

(A) 5 : 3 (B) 2 : 1 (C) 7 : 3 (D) 3 : 1

17. Which of the following compound does not give oxyacid of central atom on hydrolysis? (A) SiCl4 (B) NCl3 (C) PCl3 (D) PCl5




18. Which of the following statements is correct?

(A) 3

6CoF

amd 3

3 6Co NH

both are paramagnetic complex

(B) 33

6 3 6CoF and Co NH

both are high spin complexes

(C) 3

6CoF

is octahedral while 3

3 6Co NH

has a pentagonal pyramid shape

(D) 3

6CoF

is outer orbital complex while 3

3 6[ ( ) ]Co NH is inner orbital complex

19. A solid mixture of AgCl and K2 Cr2O7 is heated conc. H2SO4 and produces: (A) greenish yellow gas (B) Colourless gas (C) red coloured gas (D) no gas

20. Which method is not correct given for refining of crude metals? (A) Distillation : Zinc and mercury (B) Liquation : tin (C) van Arkel : Zirconium (D) Mond process : lead

21. Which of the following is most stable?

(A)

(B)

(C)

(D)

22. 33red hot

Cu tubeCH C CH

(A)

(B)

(C)

(D)

23.

(A)

(B)

(C)

(D)




24. The major product formed in the reaction is:

(A)

(B)

(C)

(D)

25. In the given reaction, (X) and (Y) will respectively be:

(A) 3 2 3 2CH CH CHO and CH CH CHO (B) 3 3 2CH CHO and CH CH CHO

(C) 3 3 CH CHO and CH CHO (D)

26. Identify the final product of following sequence of reaction:

(A)

(B)

(C)

(D)




27. A good source of vitamins A and D is

(A) Whole cereal (B) Cod liver oil (C) Yeast (D) Water melon

28. Glyptal is the polymer of (A) Ethylene glycol (B) Ethylene glycol and phthalic acid

(C) Ethylene glycol and adipic acid (D) Caprolactum

29. Which of the following compounds is not an antacid?

(A) Aluminium Hydroxide (B) Cimetidine (C) Phenelzine (D) Ranitidine

30. The Aromatic compound present as particulates are (A) Benzene (B)Toluene (C) Nitrobenzene (D) Polycyclic hydrocarbons




Section – 2 PHYSICS 1.

Statement – 1 A planet may orbit around star either in orbit P or orbit Q. The speed of the planet at the point of intersection O should be same for both orbits Statement – 2 The net acceleration at point O is same for both orbits P and Q [ Note: Centre of circle coincide with focus of ellipse] (A) Statement – 1 is true , Statement – 2 is true and statement -2 is the 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

2. A certain amount of an ideal gas is first expanded isothermally and then compressed adiabatically to its original volume and then a simple operation is performed on the gas to restore it to its original state. For this cyclic process, mark out correct statement. (A) Net heat given to the gas is zero. (B) Net heat is absorbed by the gas. (C) Net heat is rejected by the gas. (D) We can’t say anything.

3. A small magnet is initially suspended just above a conducting fixed ring placed in the same plane. The magnet is released to fall under gravity and at the same instant current is allowed to flow in the ring as shown. For this situation mark out incorrect statements. (A) As seen from below the loop, the magnet is falling down and simultaneously rotating in clock wise direction (B) The magnet is only falling down and not rotating. (C) The pitch of the helical path described by N-pole is decreasing with time (D) All of the above

4. A large rectangular box has been rotated with a constant angular velocity ω1about its fixed axis (AB) as shown in the figure. Another small box kept inside the bigger box is rotated in the same sense with angular velocity ω2 about itsaxis (which is fixed to floor of bigger box). A particle P has been identified, itsangular velocity about AB at the given instant would be

(A) ω2(r2−r1)+ω1r2

r2 (B)

ω2(r2−r1)+ω1r1

r2 (C) ω1 (D) ω2

5. When a galvanometer is shunted by 5Ω resistance, the deflection is reduced to1/6thof the original value. If the galvanometer is further shunted with a resistance of 1Ω the deflection (as measured from original value) will be

(A) reduced to 1

20 (B) reduced to

1

30 (C) reduced to

1

31 (D) reduced to

6

31

6. Two straight segments of wire ab and bc each carrying current I are placed as shown in the

figure. The cube edge is 50 cm and magnetic field is uniform alongY axis having magnitude 0.4 T. If I = 3A, the force experienced by wire abc in the presence of magnetic field is

(A) 0.6 i (B) 1.2 (i + j)

(C) 0.6 (√2i + j − √2k) (D) 0.6 (√2i − k)




7. A parallel plate capacitor is moving with a velocity of 25 m/s through a uniform magnetic field of 1.5 T as shown in figure. If the electric field within the capacitor plates is 175 N/C and plate area

is 25 x 10−7m2, then the magnetic force experienced by positive charge plate is

(A) 1.45 x 10−13 N (B) zero

(C) 8.67 x 10−15 N (D) 3.87 x 10−15 N

8. A non-conducting solid sphere of radius R1 and volume charge density ρ =ρ0

r is enclosed by a hollow sphere of

radius R2 with negative surface charge density σ, such that the total charge in the system is zero,ρ0 is a positive

constant and r isthe distance from the centre of the sphere. The ratio R2

R1is

(A) σ/ρ0 (B) √

2σ

ρ0

(C) √ρ0

2σ (D)

ρ0

σ

9. Kα and Kβ X-rays are emitted when there is a transition of electron betweenthe levels

(A) n=2 to n=1 and n=3 to n=1 respectively (B) n=2 to n=1 and n=3 to n=2 respectively (C) n=3 to n=2 and n=4 to n=2 respectively (D) n=3 to n=2 and n=4 to n=3 respectively

10. Two identical incandescent light bulbs are connected as shown in the figure. When the circuit has an AC voltage source of frequency f, which of the following observations will be correct? (A) Both bulbs will glow alternatively

(B) Both bulbs will glow with same brightness provided frequency f =1

2π√1/LC

(C) Bulb b1 will light up initially and goes off, bulb b2 will be ON continuously (D) Bulb b1 will blink and bulb b2 will be On continuously

11. Three solenoid coils of same dimension, same number of turns and same number(even) of layers with each layer having winding in same direction are taken. Coil 1 with inductance L1 was wound using a Mn wire of resistance 11

Ω/m; Coil 2with inductance L2was wound using the similar wire but the direction of winding was reversed in each alternate layer; coil 3 with inductance L3 was wound using a super-conducting wire. The self-inductance of the

coilsL1, L2, L3

(A) L1 = L2 = L3 (B) L1 = L2; L3 = 0 (C) L1 = L3; L2 = 0 (D) L1 > L2 > L3

12. A parallel beam of fast moving electrons is incident normally on a narrow slit. A screen is placed at a large distance from the slit. If the speed of the electrons is increased, which of the following statement is correct? (A) Diffraction pattern is not observed on the screen in the case of electrons (B) The angular width of the central maximum of the diffraction pattern will increase (C) The angular width of the central maximum will decrease (D) The angular width of the central maximum will remains the same.

13. The energy (E), angular momentum (L) and universal gravitational constant (G)are chosen as fundamental quantities. The dimension of universal gravitational constant in the dimensional formula of Planck’s constant (h) is

(A) zero (B) -1 (C) 5

3 (D) 1

14. A particle starts with a speed v from x = 0 in a straight line with retardation proportional to square of its displacement.

Its loss of kinetic energy for any displacement x is proportional to (A) x2 (B) x3 (C) ln x (D) ex




15. A satellite is revolving around the earth in a fixed circular orbit. v is speed of satellite and E is its KE. This satellite escape from earth’s gravitational influence when speed of satellite is increased by ∆v and its KE is increased by ∆E . Then

(A) ∆v = √2v; ∆E = E (B) ∆v = 0.414v; ∆E = E

(C) ∆v = v; ∆E = √2E (D) ∆v =v

√2; ∆E =

E

√2

16. Two springs, each of unstretched length 20 cm but having different spring constants k1 = 1000 N/mand k2 = 3000 N/m are attached to two opposite faces of a block of mass m=100 gm kept on a smooth horizontal surface as shown in the figure the outer ends of the two springs are now attached to two pins P1 and P2whose locations are shown in the figure, as a result of this, the block acquires a new equilibrium position. The block has been displaced by small amount from its equilibrium position and released to perform simple harmonic motion, then

(A) new equilibrium position is at 35 cm from P1 and time period of simple harmonic isπ

100 s

(B) new equilibrium position is at 20 cm from P1and time period of simpleharmonic motion isπ

100 s

(C) new equilibrium position is at 35 cm from P1 and time period of simpleharmonic motion isπ

26 s

(D) new equilibrium position is at 30 cm from P1 and time period of simpleharmonic motion isπ

26 s

17. A gas undergoes a thermodynamic process in such a way that its temperature, pressure and volume, (all three) at

any instant change simultaneously such that the work is being done at the expense of the internal energy of the gas. If C be the molar heat capacity of the gas then

(A) C = 0 (B) C =dU

dT (C) C =

dW

dT (D) data insufficient

18. A gas is undergoing a cyclic process as shown in figure. For this cyclic process mark out the correct option(s). (A)Heat is rejected from the system. (B) Work is done on the system by the surroundings. (C) Net heat is supplied to the system in full cycle. (D) Options a and c are correct

19. The spectral emissive power E for a body at temperature T1 is plotted against the

wavelength and area under the curve is found to be A. At a different temperature T2 the

area is found to be 9A. Then 1 2/ =

(A) 3 (B) 1/3 (C) 1/ 3 (D) 3

20. In germanium the energy gap is about 0.75 eV. The wavelength of light, which the germanium starts absorbing is (A) 5000 Å (B) 1650 Å (C) 16500 Å (D) 165000 Å

21. In a photo emissive cell with exciting wavelength λ, the fastest electron has a speed v. If the exciting wavelength is

changed to 3

4λ,the speed of the fastest emitted electrons will be

(A) ν√3

4 (B) ν√

4

3 (C) less than ν√

4

3 (D) greater than ν√

3

4




22. To get an output Y=1 from circuit of figure, the inputs must be A B C A B C (A) 0 1 0 (B) 1 0 0 (C) 1 0 1 (C) 1 1 0

23. Three identical particles each of mass m and charge q are initially located at the vertices of an equilateral triangle of

side √8 m in XY plane. The vertices of the equilateral triangle are specified as A(3, 7), B(5, 5) and C(√3 + 4, √3 + 6).

These three particles are then allowed to move under their mutual gravitational and electrical interaction at t=0. The

location of centre of mass of this three particle system at t = √18s is specified by [Assume all surfaces to be frictionless]

(A) (4 +1

√3, 6 +

1

√3) (B) (2, 6) (C)(4 + √3, 6 + √3) (D) Information insufficient

24. A thermally insulated container contains some water at 0℃ . The vessel is connected to vacuum pump to pump out water vapour, as a result of this intense evaporation, some of the water gets freezed. If latent heat of vaporization at 0℃ are Lv = 580 cal/g and Lf = 80 cal/g , the maximum percentage amount of water that can be solidified in this manner, is (A) ≈ 12% (B) ≈ 18% (C) ≈ 88% (D) ≈ 100%

25. A ray of light is incident on the surface of a glass plate at an angle of incidence equal to Brewster’s angle φ , If μ represents the refractive index of glass w.r.t. air, the angle between the reflected and refracted rays is

(A) 90° + φ (B) sin−1(μ cos φ) (C) 90° (D) sin−1 (sin φ

μ)

26. A point object O is placed at a distance 2f from a thin convex lens of focal length f as shown is figure. The lens then starts rotating with constant angular velocity ω about an axis perpendicular to the plane of paper, (object remains fixed and AB (Initial principal axis) remains in the same plane), then the component of the rate of change of the image distance along the line AB (Initial principal axis)when the lens is rotated by 20 is

(A) 4fπω

90 m/s directed from A to B (B)

4fπω

90 m/s directed from B to A

(C) 2fπω

90 m/s directed from A to B (D)

2fπω

90 m/s directed from B to A

27. In an electromagnetic wave, the average energy density is associated to

(A) electric field only (B) magnetic field only (C) equally with electric and magnetic field (D) Average energy density is zero

28. A non-uniform wire of length L has a variable linear mass density given by = kx2 , where k is a positive constant

and x is the distance from one end of the wire.The time required for a wave pulse to travel from one end of the wire to the other end if tension in the string is T, is

(A) √k

T x

2

L (B) √

k

T x

3

2L2 (C) √k

T x

2

L2 (D) none of these

29. Sound waves are emitted uniformly in all directions from a point source. The dependence of sound level β in decibels at a distance r can be expressed as (a and b are constants)

(A) β = −b log ra (B) β = a − b (log r)2 (C)β = a − b log r (D) β = a − (b

r2)

30. The dimensions of a rectangular block measured with a vernier calipers is 10 mm x 20 mm x 5 mm. The LC of vernier caliper is 0.1 mm. The maximum percentage error in measurement of volume of the block is (A) 3.5% (B) 12 % (C) 8 % (D) Information insufficient




Section – 3 MATHEMATICS 1.

If the ellipse

22x

y 14 meets the ellipse

22

2

yx 1

a in four distinct point and

2a b 5b 7 , then b doesn’t lies in

(A) [4,5] (B) ( ,2) (3, ) (C) ( ,0) (D) 2,3

2. In a triangle ABC, a:b:c=4:5:6. The ratio of radius of the circumcircle to that of the incircle is (A) 16|9 (B) 16|7 (C) 11|7 (D)7|16

3. Domain of the function f x

1sin (2x) / 6 is

(A)1 1

,4 2

(B) 1 1

,2 2

(C) 1 1

,2 2

(D) 1 1

,4 4

4. The coefficient of the term independent of x in the expansion of

3 2 93 1(1 x 2x )( x )

2 3x is

(A) 1

3 (B)

19

54 (C)

17

54 (D)

1

4

5. A problem of mathematics is given to three students whose chances of solving the problem are

1 1 1, and

3 4 5

respectively. The probability that the question will be solved is

(A) 2

3 (B)

3

4 (C)

4

5 (D)

3

5

6. If the point where 3x 2y 12 0 and x ky 3 0 intersect both co-ordinate axes are concyclic then the no. of

possible real values of K is (A) 1 (B) 2 (C) 3 (D) 4

7. Two tangents and drawn from a point p to the circle 2 2x y 1 . If the tangent is make and intercept of 2 unit on the

line x=1, then locus of P is (A) para bola (B) P.S.T. (C) Circle (D) St. line

8. The range of

11 Sin (x)

f (x) tan (x)2

(A) ( , ) (B) 3 3

,4 4

(C) 3 3

,4 4

(D) ,2 2

9. The reflection about line x + y = 0 of the inverse function 1f (x)

of a function f (x) is

(A) f (x) (B) f ( x) (C) 1f (x) (D)

1f ( x)




10. The complex no. satisfying arg (z i)

4

and arg

3(2z 3 2i)

4

simultaneously, is

(A) 1 3

i4 4 (B)

1 3i

4 4 (C)

1 3i

4 4

(D) None of these

11. If 1

2

z z3

z z

, where 1 2z & z are fixed complex no and z is a variable complex no then z lies on a

(A) Circle with z, as its interior point (B) Circle with Z2 as its interior point (C) Circle with Z1 and Z2 as its interior point (D) Circle with Z1 and Z2 as its iterier points.

12. If 2 4 2 8

0 1 2 8(1 ) .... ,ax bx a a x a x a x where 0 1, , , .......a b a a R and 0 1 2 0a a a and 0 1 2

1 2 0

2 0 1

0

a a a

a a a

a a a

then

find possible value of 5a

b

is

(A) 7 (B) 8 (C)9 (D) None of these

13. If f is continuous function in [1,2] such that f (1) 3 f (1) 3 and f (2) 10 f (2) 10,[f(2) 0] then the function

f in (1,2) has (A) Al least one root (B) no root (C) exactly one root (D) None of these

14.

If the value of the integral 2

2

1

xe dx is d then the value of

4

ln

e

e

x d x is

(A)4e e d (B)

42e e d (C) 42( )e c d (D) None of these

15. Let 2f (x) ax bx c , where a R and

2b 4ac 0 . Area rounded by y f (x), x-axis and the lines

x o, x 1 is equal to

(A) 1

3f (1) f( 1) 2f(0)6

(B) 1

5f (1) f ( 1) 8f (0)12

(C) 1

3f (1) f( 1) 2f(0)6

(D) 1

5f (1) f ( 1) 8f(0)12

16. Total no of solution of the Equation

x3x 2tan x 5

2 in x [0, 2 ] is equal to

(A)1 (B) 2 (C) 3 (D) 4

17.

If 2

2 21 1 5

tan (x) cot (x)8

then x is equal to

(A) 1 (B) -1 (C) 2 (D) -2




18. In triangle ABC, a:b:c=(1+x):1:(1–x) where x (0,1) if A c

2

then x is equal to

(A) 1

6 (B)

1

2 3 (C)

1

7 (D)

1

2 7

19. lim(3 ( )(x b)(x c) )x

x a x

(A) abc (B) 3

a b c (C) abc (D)

1( )

3abc

20. The three digit no in which middle one is a perfect square are formed using the digits 1 to 9. Their sum is (A) 134055 (B) 270540 (C) 170055 (D) None of these

21. If a variable tangent to the curve 2 3x y C makes intercepts a, b

on x and y axis respectively then the value of

2a b

is

(A) 327C (B) 34

C27

(C) 327C

4 (d) 34

C9

22. The integral

3/2 1/2

2

Sec Sectan

2 tan

d is

(A) 1 Sec 12 tan c

2Sec

(B) e

1 Sec 2Sec 1log c

2 Sec 2Sec 1

(C) 11 Sec 1tan c

2 2Sec

(D) e

Sec 2Sec 12log c

Sec 2Sec 1

23.

The Solution of 2 2 2

2 2

xdx ydy a x y

xdy ydx x y

is

(A) 2 2 1{ (tan )}y

x y a Sin cx

(B) 2 2 1cos{tan )}

yx y a c

x

(C) 2 2 1tan{ )}y

x y a Sin cx

(D) None of these

24. The area of the greatest circle inscribed in 2 | | 2 | | 4x y is given by

(A) 2 (B) 4

(C)

2

(D) 4

25. The plane 2x y 2z 9 intersect the co-ordinate axes at A,B,C, the orthocenter of ABC is

(A) (2,1,2) (B) (2,2,1) (C) (2,2,2) (D) (1,2,1)




26. 1

1 0

. .2

n rn r P

r p

r P

C C

is equal to

(A) 4 3 1n n (B) 4 3 1n n (C) 4 3 2n n (d) 4 3n n

27. Let A, B, C be three points on the ellipse

2 2

4 1

x y = 1 if equation of AB is y=x then maximum are of ABC is

(A) 1 (B) 2 2 (C) 2 (D) none of these

28. 1 cos

20

2 coslim

x

x

x

x

is equal to

(A) ln 2

2 (B)

2ln 2 1

2

(C) ln 2e (D)None of these

29. Let P (1, 1) is point inside circle 2 2 2 2x y x y –8 = 0, the chord AB is drawn passing through the point P. The

equation of chord AB if 5 2

5 2

PA

PB

is

(A) y=2x+1 (B)y=x (C) y=–x (D) None of these

30. If &u v are two non-collinear unit vectors such that

2

u vu v

, then the value of

2( )u u v is

(A)1

4 (B)

1

2 (C)

3

4 (D)1



Answer Key – JEE Main Mock Test Paper 17 – JEE 2018

a FIITJEE team initiative

CHEMISTRY

1. C 2. C 3. B 4. D 5. C 6. A 7. B 8. A 9. C 10. A

11. C 12. D 13. B 14. C 15. D 16. B 17. B 18. D 19. D 20. D

21. B 22. C 23. D 24. C 25. B 26. B 27. B 28. B 29. C 30. D

PHYSICS

1. D 2. C 3. D 4. B 5. C 6. A 7. A 8. C 9. A 10. B

11. C 12. C 13. A 14. B 15. B 16. A 17. A 18. C 19. D 20. C

21. C 22. C 23. A 24. C 25. C 26. B 27. C 28. D 29. C 30. A

MATHEMATICS

1. D 2. D 3. A 4. C 5. D 6. D 7. A 8. D 9. B 10. D

11. B 12. B 13. A 14. B 15. D 16. C 17. B 18. C 19. B 20. A

21. C 22. B 23. A 24. A 25. C 26. D 27. C 28. C 29. B 30. C

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