2014-2015/ JEE Advance/ P-1/Pg-1
BATCH
TARGET
ABC Classes
A BRILLIANT COMPANION
CODE
002
JEE ADVANCE 2015
Date : 15-04-2015
AWAIT INSTRUCTIONS FROM THE INVIGILATOR
INSTRUCTIONS :
A.
1.
2.
3.
4.
5.
6.
7.
8.
B.
9.
10.
11.
12.
13.
14.
C.
15.
16.
17.
18.
19.
Duration : 3 Hours
Max. Marks : 225
PAPER -1
General :
This Question Paper contains 60 questions.
The question paper CODE is printed on the right hand top corner on this sheet of this booklet.
No additional sheets will be provided for rough work.
Blank paper, clipboard, log tables, slide rules, calculators, cellular phones, pagers and electronic gadgets in
any form are not allowed.
The answer sheet, a machine-gradable Optical Marks Reader (OMR), provided separately.
Do not Tamper / multilate the OMR or this booklet.
Do not break the seats of the question-paper booklet before instructed to do so by the invigilators.
Write your Name, Roll No. and Sign in the space provide on the back page of this booklet.
Filling the bottom-half of the OMR :
Use only Black ball point pen only for filling the OMR. Do not use Gel / Ink / Felt pen as it might
smudge the OMR.
Write your Roll no. in the boxes given at the top left corner of your OMR with black ball point pen. Also,
darken the corresponding bubbles with Black ball point pen only. Also fill your roll no on the back side of your
OMR in the space provided (if the OMR is both side printed).
Fill your Paper Code as mentioned on the Test Paper and darken the corresponding bubble with Black ball
point pen.
If student does not fill his/her roll no. and paper code correctly and properly, then his/her marks will not be
displayed and 5 marks will be deducted (paper wise) from the total.
Since it is not possible to erase and correct pen filled bubble, you are advised to be extremely careful while
darken the bubble corresponding to your answer.
Neither try to erase / rub / scratch the option nor make the Cross (X) mark on the option once filled. Do not
scribble, smudge, cut, tear, or wrinkle the OMR. Do not put any stray marks or whitener anywhere on the
OMR.
If there is any discrepancy between the written data and the bubbled data in your OMR, the bubble data will
be taken as final.
Filling the bottom-half of the OMR :
The question paper consists of 3 parts (Chemistry , Mathematics & Physics). Each part consists of
Three Sections.
For each question in Section I, you will be awarded 3 marks if you darken only the bubble corrresponding
to the correct answer and zero mark if no bubbles are darkened. No negative marks will be awarded for
incorrect answers in this section.
For each question in Section II, you will be awarded 5 marks if you darken only the bubble corresponding
to the correct answer and zero mark if no bubbles are darkened & minus one (–1) marks will be awarded
for incorrect answers in this section.
For each question in Section III, you will be awarded 3 marks if you darken only the bubble corrresponding
to the correct answer and zero mark if no bubbles are darkened. No negative marks will be awarded for
incorrect answers in this section.
For each question in Section IV, you will be awarded 4 marks if you darken only the bubble corrresponding
to the correct answer and zero mark if no bubbles are darkened & minus one (–1) marks will be awarded
for incorrect answers in this section.
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2014-2015/ JEE Advance/ P-1/Pg-2
PART-I : CHEMISTRY
SECTION-I
Single Correct Choice Type
This section contains 5 multiple choice questions. Each question has four choices (a), (b), (c) and (d) out of
which ONLY ONE is correct.
1.
On hydrolysis of SiH4 complex A is formed. A on further decomposition produce B. Consider
following statements.
(i) A is complex compound with coordination no. 6
(ii) B have sp hybridezation.
(iii) B is used in cement.
(iv) B is sp3 hybridized
True statements are.
(A) i, ii, iii
(B) i and ii
(C) i, iii, iv
(D) iii and iv
2.
Total no. of chiral center in given molecule.
Cl
D
C=C–N
T
Cl
(A) 4
(B) 3
(C) 2
(D) 1
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3.
If vapour pressure of solution is represented w.r.t. to mole fraction of solute. Graphical representation is
as such.
V.P of solution
300
405
Xsolute
poA and poB are ?
(A) 300 and 405
(B) 705 and 300
(C) 705 and 405
(D) 300 and 105
CH3
4.
Cl2

CH3 – C – CH2 – CH3 
hv
Find percentage of primary product formed ?
(A) 42.875%
(B) 23.81%
(C) 33.315%
(D) Negligible in amount.
Compound is known as pyrene. This compound is
(A) Aromatic
(B) Anti aromatic
(C) Non Aromatic
(D) Cannot be defined
5.
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SECTION-II
Multiple Correct Choice Type
This section contains 4 multiple choice questions. Each question has four choices (a), (b), (c) and (d) out
of which ONE ORE MORE is correct.
6.
Choose out correct statements ?
(A) H3PO3 is reducing agent
(C) H2O2 have permanent bleaching action
(B) SO2 have permanent bleaching action
(D) TiO2 is reduced by Na metal in extraction.
7.
AB2 (g) + A(s)
12 AB(g)
In above equilibrium initial and equilibrium pressures are 0.7 and 0.95 bar. Now the equilibrium mix is
expanded reversebily and isothermally till gas pressure falls to 0.4 . Then correct statements are ?
(A) Volume percent of AB(g) at final eq. is nearly 27%
(B) Volume of percent of AB2 at final equilibrium is 32.5%
(c) Kp for equilibrium is 5/9
(d) Ratio of eq. pressure AB2(g) at initial and final equilibrium is between 2 and 3.
8.
1 litre flask contain NH3 at 2 atm at 200 K is connected by a narrow tube of negligible volume to another
800 ml flask containing HCl at 8 atm at 200 K. The two gases react according to equation.
NH 3  HCl 
 NH 4 Cl
H = – 43 KJ/mol
If heat capacity of HCl, Cv is 20 J k–1 mol–1, and heat capacity of flask and NH4Cl is negligible then :
(A) Heat produced during reaction is 5375 J
(B) Final temperature of HCl is nearly 1177 K
(C) Final pressure of flask is nearly 14 atm
(D) Moles of HCl remaining is 0.3
9.
Two complexes A and B are given which of following is true
N
CD3
CT3
CH3
(A)
(a) A is chiral but inactive
(c) B have 2 chiral center and active
N
CH3
(B)
(b) A is chiral and can resolved.
(d) B is more basic than A.
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2014-2015/ JEE Advance/ P-1/Pg-5
SECTION-III
(Paragraph type)
This section contains 2 paragraphs. Each paragraph has 2 multiple choice questions, each question has
four choices (a), (b), (c) and (d) out of which ONLY ONE is correct.
Paragraph for Q.no 10 & 11
Consider plot of Maxwell distribution curve between molecule fraction to velocity.
n/N
V
It is provided that T1 < T2 < T3 then
10.
Which of the following is correct
(A)
  (n / N)dv     n / m dv     n / N dv 
(B)
  (n / N)dv     n / m dv     n / N dv 
T1
T1
T2
T2
T3
T3
  n / N dv     (n / m) dv     n / N dv 
(D)   n / N dv     (n / m) dv     n / N dv 
(C)
T1
T2
T3
T1
T2
T3
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11.
If Maxwell curve for 2 gases having molecular mass M1 and M2 at consl. temperature is given as.
n/N
M2
M1
V
Then
(A) M1 > M2
(B) M2 > M1
(C) M1 = M2
(D) no relation between masses
Paragraph for Q.no 12 & 13
Read the following sequence of reaction.
12.
13.
Gas (B) on passing through CdSO4 solution will give
(A) black ppt.
(B) yellow ppt.
(C) orange ppt.
(D) no ppt.
Compound(A), (B) and (E) are respectively.
(A) CuS, H2S, SO2
(B) PbS, H2S, SO2
(D) ZnS, H2S, SO2
(C) PbS, H2S, SO3
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2014-2015/ JEE Advance/ P-1/Pg-7
SECTION-IV
(Single integer type)
This section contains 7 questions. This answer to each question is single-digit integer, ranging from 0 to 9.
The correct digit below the question number in the ORS is to be bubbled.
14.
Find total no. of ions released when solid PCl5 is dissociated ? Consider state is not changed to gas during
dissolution .
15.
At which position rate of nitration is jast compared to others in following complex.
O
(3)
C – NH
NH2
(1)
(2)
COOH
COOH
HO – CH2
(i ) n RMgx



16.
OH
HO – CH2
(ii) H3O
OH
C CH
C CH
By observing above reaction on find value of n ?
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17.
Calculate acid dissociation constant for 0.1 M HCOOH if its solution shows a resistance of 50  when
filled in a cell having separation between parallel electrodes 4 cm and cross section area of electrode 10
cm2
 m [Ca(HCOO) 2 ]  230 Scm 2 mol 1
Given
 m [CaCl2 ]  280 Scm 2 mol 1
 m [HCl]  425 Scm 2 mol 1
(Fill your answer by multiplying the answer with 103)
18.
No. of acids that categorized under pyro acid ?
H4P2O6, H4P2O7, H2S2O8, H2SO5, H2SO4, H2S2O7, HNO3, H3PO3, (HPO3)3.
19.
Calculate conversion factor for given Reaction (n-factor)
FeS  Fe2 (SO 4 )3
Cl
20.
2

 Products
hv
(monochlorination )
Find the total number of theoretical products (inclusing stereo).
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2014-2015/ JEE Advance/ P-1/Pg-9
PART-II : MATHEMATICS
SECTION-I
Single Correct Choice Type
This section contains 5 multiple choice questions. Each question has four choices (a), (b), (c) and (d) out of
which ONLY ONE is correct.
21.



 1 x 
2
Let f (x)  n 
 . The set of all values of  for which f ( )  f ( )  f   2    1  holds


 1 x 
good.
(a) ( , 1)  (1, )
22.
(b) (–1, 1)
(c) (0, 1)
0  
50
Let A = 
 and I is unit matrix of order 2 , (A + I) – 50 A =
0
0


(a) 2
(b) 0
(c) 1
(d) (–1, 0)  (0, 1)
a b 
 c d  , find a + b + c + d.


(d) – 2
n
23.
Let f be a function satisfying 2f(xy) = (f(x)) y + (f(y)) x and f(1) = k  1, then (k – 1)  f  r  
r 1
(a) kn+1 – k
24.
(c) kn–1 – k
(d) k – kn
If 0 < a , b, c < 1 the maximum value of a(1 – a) b(1 – b) c(1 – c) is
(a)
25.
(b) kn – k
1
64
(b)
1
16
(c)
1
8
(d) 1
 k2
k2 

If lim sec 
 exist then
x 1
 n x x  1 
1
(a) k2 < 1
(b) k2 > 2
(c) k2 > 3
(d) k2 > 4
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SECTION-II
Multiple Correct Choice Type
This section contains 4 multiple choice questions. Each question has four choices (a), (b), (c) and (d) out
of which ONE ORE MORE is correct.
26.
The domain of definition of the function
 x 2  2x –3 
log[ 2 tan x ]  2

 4x –4x –3 
f(x) = [2 tan( x)]
where [.] denotes the greatest integer function is given by the
1
1

interval  n  , n   where n  I then n can be equal to
4
2

(a) –5
(b) –1
(c) 0
27.
Let a, b, c  R+. Possible value of m (independent of a, b and c) for which atleast one of the
following equation
ax2 + bx + cm = 0, bx 2 + cx + am = 0 and cx 2 + ax + bm = 0 have real roots is
(a)
28.
29.
(d) 1
1
2
(b)
1
12
(c)
1
8
(d) 3
Let f x) = ax + b, such that f(1)  f(2), f(3)  f(4) and f(5) = 5. Which of the following is/are true
?
(a) f(0) < 0
(b) f(1) < f(0) < f(–1)
(c) f(0) = 5
(d) f(1)  f(2)  f(3)
1 1 1 1 1 1
K R3
With usual notations in a ABC,          = 2 2 2 , then 'K' is equal to
4a b c
 r1 r2   r2 r3   r3 r1 
(a) 64
(b) 16
(c) perfect square
(d) 256
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2014-2015/ JEE Advance/ P-1/Pg-11
SECTION-III
(Paragraph type)
This section contains 2 paragraphs. Each paragraph has 2 multiple choice questions, each question has
four choices (a), (b), (c) and (d) out of which ONLY ONE is correct.
Paragraph for Q. No. 30 to 31
D1, D2, D3,........,D1000 are 1000 doors and P 1, P2, P3,.......,P1000 are 1000 persons. Initially all doors
are closed. P 1 opens all the doors. Then, P 2 closes D2, D4, D6,......,,D1000 (doors having numbers
which are multiples of 2). Then, P3 changes the status of D3, D6, D9,...........,D999 (doors having numbers multiples of 3) and so on. Changing the status means (closing the door, if it is open) or (opening
it, if it is closed). So if this process is continued like this, then finally P 1000 will change the status of
D 1000 .
30. Finally, how many doors are open ?
(a) 30
(b) 31
(c) 32
(d) None
31. What is the greatest number of consecutive doors that are finally closed ?
(a) 56
(b) 58
(c) 60
(d) N. O. T.
Paragraph for Q. No. 32 to 33
The locus of all those points from which tangents drawn to the conic |z| = a (where, a = constant)
intersect at right angles is also a conic.
32. The locus is given by
(a) | z|  2 a
(b) |z| = 2a
(c) zz  2az  2a  0
(d) N. O. T.
33. If z1  p  iq be any point lying on the locus, then the equation of tangent to the locus at z1 is given by
(a) zz1  zz1  a 2
(b) zz1  z1z  2a 2
(c) zz1  zz1  2 2a 2
(d) zz1  zz1  4 a 2
Space For Rough Work
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SECTION-IV
(Single integer type)
This section contains 7 questions. This answer to each question is single-digit integer, ranging from 0 to 9.
The correct digit below the question number in the ORS is to be bubbled.
34.
If  is number of integral values of a such that x2 + |x + a| – 9 < 0 has at least one negative
solution, then
35.

is
2
1
If 2 < x2 < 3 then find the number of positive roots of {x 2} =   (where { . } denotes fractional
x
part function)
2n 1

[x r ]   n  1
r 1
36.
Evaluate lim–
37.
If p1 , p2, p3 are the algebric distances of points (1, 1), (2, 0) and (0, 2) from a variable line L such
that p1 + p2 + p3 = 0, the line L passes through a fixed point (a, b) and function f(x) = min
x 0
1  [x]  x  2x
, (where [.] denotes greatest integer function).
 x , x  a , x  b  is not diffrentiable at  points, then  is
38.
The sum of squares of lengths of all possible chords intercepted by x + y = n, n N on the circle
x2 + y2 = 4 is 11 , then find the value of .
10
39.
 1
1
1   2n 2  1 
 n 1 
Evaluate lim  

 ...... 
– sin  2 



2
n   1.2
2.3
n(n  1)  n  1 
 n 1 

40.
The slopes of three sides of a triangle ABC are –1, –2, –3 respectively. If the orthocentre of triangle
ABC is origin and locus of its centroid is y =

 .

a
x , where a, b are relative prime, then b – a is equal
b
to
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2014-2015/ JEE Advance/ P-1/Pg-13
PART-III : PHYSICS
SECTION-I
Single Correct Choice Type
This section contains 5 multiple choice questions. Each question has four choices (a), (b), (c) and (d) out of
which ONLY ONE is correct.
41.
42.
43.
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2014-2015/ JEE Advance/ P-1/Pg-14
44.
45.
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2014-2015/ JEE Advance/ P-1/Pg-15
SECTION-II
Multiple Correct Choice Type
This section contains 4 multiple choice questions. Each question has four choices (a), (b), (c) and (d) out
of which ONE ORE MORE is correct.
46.
47.
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2014-2015/ JEE Advance/ P-1/Pg-16
48.
49.
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2014-2015/ JEE Advance/ P-1/Pg-17
SECTION-III
(Paragraph type)
This section contains 2 paragraphs. Each paragraph has 2 multiple choice questions, each question has
four choices (a), (b), (c) and (d) out of which ONLY ONE is correct.
Paragraph for Q.no 50 & 51
50.
51.
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2014-2015/ JEE Advance/ P-1/Pg-18
Paragraph for Q.no 52 & 53
52.
53.
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2014-2015/ JEE Advance/ P-1/Pg-19
SECTION-IV
(Single integer type)
This section contains 7 questions. This answer to each question is single-digit integer, ranging from 0 to 9.
The correct digit below the question number in the ORS is to be bubbled.
54.
55.
56.
57.
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2014-2015/ JEE Advance/ P-1/Pg-20
58.
59.
60.
screen
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2014-2015/ JEE Advance/ P-1/Pg-21
ABC Classes
A BRILLIANT COMPANION
JEE ADVANCE 2015
TARGET BATCH
CODE
002
TEST PAPER-1
ANSWERS
Date : 15-04-2015
CHEMISTRY
MATHEMATICS
PHYSICS
1.
C
21.
B
41. A
2.
C
22.
A
42. A
3.
B
23.
A
43. C
4.
A
24.
A
44. B
5.
A
25.
B
45. B
6.
ACD
26.
AC
46. ACD
7.
BCD
27.
BC
47. ABC
8.
ABC
28.
CD
48. AD
9.
ACD
29.
CD
49. ABD
10.
A
30.
B
50. D
11.
A
31.
C
51. C
12.
B
32.
A
52. D
13.
B
33.
D
53. A
14.
0
34.
9
54. 9
15.
1
35.
1
55. 6
16.
4
36.
0
56. 7
17.
5
37.
5
57. 5
18.
5
38.
2
58. 6
19.
9
39.
2
59. 7
20.
8
40.
5
60. 4
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