FIITJEE – PIT-2 Test (JEE-Advanced)

PHYSICS, CHEMISTRY & MATHEMATICS

PIT Test QP Code: 101394
BATCHES – SANKALP2427 WA1,WA2,VWA3,WC1,RN2327X,2327-

Time Allotted: 3 Hours Maximum Marks: 180

 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
Caution: Question Paper CODE as given above MUST be correctly marked in the answer OMR
sheet before attempting the paper. Wrong CODE or no CODE will give wrong results.

A. General Instructions
1. Attempt ALL the questions. Answers have to be marked on the OMR sheets.
2. This question paper contains Three Parts.
3. SECTION–I is Physics, SECTION–II is Chemistry and SECTION–III is Mathematics.
RX1,RX2,WX1 TO WX4

4. Rough spaces are provided for rough work inside the question paper. No additional sheets will be provided
for rough work.
5. 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-- General
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 HB pencil for each character of your Enrolment No.
and write in ink your Name, Test Centre and other details at the designated places.
3. OMR sheet contains alphabets, numerals & special characters for marking answers.

Name of the Candidate :____________________________________________

Batch :____________________ Date of Examination :___________________

Enrolment Number :_______________________________________________

PIT-2_JEE Advanced_PHASE-1+2_C-X-PCM-2

SE
ECCT
TIION
N-- II:: PHYSIICS
S
SECTION 1 (Maximum Marks: 12)
 This section contains FOUR (04) questions.
 Each question has FOUR options (A), (B), (C) and (D). ONLY ONE of these four options is the correct
answer.
 For each question, choose the option corresponding to the correct answer.
 Answer to each question will be evaluated according to the following marking scheme:
Full Marks : +3 If ONLY the correct option is chosen;
Zero Marks : 0 If none of the options is chosen (i.e. the question is unanswered);
Negative Marks : −1 In all other cases.

1. A light ray is incident on a horizontal plane mirror at an angle

of 45°. At what angle should a second plane mirror be placed C G
in order that the reflected ray finally be reflected horizontally S
D
from the second mirror, as shown in figure: A α
45° 45°
α
N
45°
P Q
B
(A)   22.5 (B)   44
(C)   67.5 (D)   30

2. In the figure shows two rays A and B being reflected by a mirror and A
going as A and B. The mirror
(A) is plane B
A
(B) is convex
(C) is concave B
(D) may be any spherical mirror

3. For a concave mirror of focal length 20 cm, if the object is at a distance of 30 cm from the pole, then the
nature of the image and magnification will be
(A) real and 2 (B) virtual and 2
(C) real and +2 (D) virtual and +2

4. A cylindrical lens is required to correct

(A) myopia (B) presbyopia
(C) hypermetropia (D) astigmatism

Space for rough work

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 PIT-2_JEE Advanced_PHASE-1+2_C-X-PCM-3

SECTION 2 (Maximum Marks: 12)

 This section contains THREE (03) questions.
 Each question has FOUR options (A), (B), (C) and (D). ONE OR MORE THAN ONE of these four
option(s) is (are) correct answer(s).
 For each question, choose the option(s) corresponding to (all) the correct answer(s).
 Answer to each question will be evaluated according to the following marking scheme:
Full Marks : +4 ONLY if (all) the correct option(s) is(are) chosen;
Partial Marks : +3 If all the four options are correct but ONLY three options are chosen;
Partial Marks : +2 If three or more options are correct but ONLY two options are chosen, both of
which are correct;
Partial Marks : +1 If two or more options are correct but ONLY one option is chosen and it is a
correct option;
Zero Marks : 0 If none of the options is chosen (i.e. the question is unanswered);
Negative Marks : −2 In all other cases.
 For example, in a question, if (A), (B) and (D) are the ONLY three options corresponding to correct
answers, then
choosing ONLY (A), (B) and (D) will get +4 marks;
choosing ONLY (A) and (B) will get +2 marks;
choosing ONLY (A) and (D) will get +2 marks;
choosing ONLY (B) and (D) will get +2 marks;
choosing ONLY (A) will get +1 mark;
choosing ONLY (B) will get +1 mark;
choosing ONLY (D) will get +1 mark;
choosing no option (i.e. the question is unanswered) will get 0 marks; and
choosing any other combination of options will get −2 marks.

5. An object is kept in front of a concave mirror of focal length 15 cm. the image formed is three times the
size of object. Calculate possible distance of the object from the mirror
(A) 20 cm (B) 30 cm
(C) 40 cm (D) 10 cm

6. If a convergent beam of light passes through a diverging lens, the result

(A) may be a convergent beam (B) may be a divergent beam
(C) may be a parallel beam (D) must be a parallel beam

7. Which of the following statement(s) is/are correct?

(A) A person with myopia cannot see distant objects clearly
(B) A person with hypermetropia can see nearby objects clearly
(C) A person with myopia can see nearby objects clearly
(D) A person with hypermetropia can see distant objects clearly

Space for rough work

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PIT-2_JEE Advanced_PHASE-1+2_C-X-PCM-4

SECTION 3 (Maximum Marks: 24)

 This section contains SIX (06) questions.

 The answer to each question is a NON-NEGATIVE INTEGER.
 For each question, enter the correct integer corresponding to the answer using the mouse and the on-
screen virtual numeric keypad in the place designated to enter the answer.
 Answer to each question will be evaluated according to the following marking scheme:
Full Marks : +4 If ONLY the correct integer is entered;
Zero Mark : 0 In all other cases.

8. The focal length of a thin biconvex lens is 20 cm. When an object is moved from a distance of 25 cm in
m
front of it to 50 cm, the magnification of its image changes from m25 to m50. The ratio 25 is
m 50

9. A large glass slab ( = 5/3) of thickness 8 cm is placed over a point source of light on a plane surface.
It is seen that light emerges out of the top surface of the slab from a circular area of radius R cm. What
is the value of R?

10. A wind electric generator generates a current of 0.9A across a voltage of 240 volt. The ratio of heat
energy produced in the circuit to the wind energy is n, then 10n is (efficiency of mill 20%).

11. For an object placed at a distance 2.4 m from a lens, a sharp focused image is observed on a screen
placed at a distance 12 cm from the lens. A glass plate of refractive index 1.5 and thickness 1 cm is
introduced between lens and screen such that the glass plate plane faces parallel to the screen. By x
x
distance the object be shifted so that sharp focused image is observed again on the screen, if = 0.8,
n
then n is

1 ˆ
12. A ray of light travelling in the direction
2
 
i  3 ˆj is incident on a plane mirror. After reflection, it travels

1 ˆ
along the direction
2
 
i  3 ˆj . The angle of incidence is 15n, then n is

13. A parallel beam of light is allowed to fall on a transparent spherical globe of diameter 30 cm and
refractive index 1.5. The distance from the centre of the globe at which the beam of light can converge
is 22X mm where X is

Space for rough work

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 PIT-2_JEE Advanced_PHASE-1+2_C-X-PCM-5

SECTION 4 (Maximum Marks: 12)

 This section contains FOUR (04) Matching List Sets.
 Each set has ONE Multiple Choice Question.
 Each set has TWO lists: List-I and List-II.
 List-I has Four entries (P), (Q), (R) and (S) and List-II has Five entries (1), (2), (3), (4) and (5).
 FOUR options are given in each Multiple Choice Question based on List-I and List-II and ONLY
ONE of these four options satisfies the condition asked in the Multiple Choice Question.
 Answer to each question will be evaluated according to the following marking scheme:
Full Marks : +3 ONLY if the option corresponding to the correct combination is chosen;
Zero Marks : 0 If none of the options is chosen (i.e. the question is unanswered);
Negative Marks : −1 In all other cases.

14. Match the following:

List-I List-II

(P) 1. Far sightedness

(Q) 2. Short sightedness

(R) 3. Correction for Myopia

(S) 4. Correction for Hypermetropia

5. None of the above

(A) (P  1); (Q  5); (R  3); (S  4)

(B) (P  4); (Q  1); (R  2); (S  3)
(C) (P  2); (Q  1); (R  3); (S  4)
(D) (P  4); (Q  1); (R  3); (S  5)

15. Real and inverted image of an object is formed at a distance

d = 40 cm from the object. The size of the image is half of that
of object.

List-I List-II
(P) The nature of lens used should be 1. Concave
(Q) Focal length of the lens 2. Convex
(R) Distance of object from the lens 3. 80/3 cm
(S) If mirror were used, then nature of mirror should be 4. 80/9 cm
5. 80 cm

(A) (P  1); (Q  5); (R  3); (S  4)

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PIT-2_JEE Advanced_PHASE-1+2_C-X-PCM-6

(B) (P  4); (Q  1); (R  2); (S  3)

(C) (P  2); (Q  4); (R  3); (S  1)
(D) (P  4); (Q  1); (R  3); (S  5)

16. Match the following:

List-I List-II
(P) Twinkling of starts 1. Scattering of light
(Q) Rainbow 2. Refraction
(R) Blue colour of sky 3. Refraction + Total internal reflection + dispersion
(S) Mirage and looming 4 Total internal reflection + Refraction
5. None of the above

(A) (P  1); (Q  2, 5); (R  3); (S  4)

(B) (P  3); (Q  1, 2, 4); (R  1); (S  3)
(C) (P  2); (Q  4, 5); (R  5); (S  3)
(D) (P  3); (Q  1, 2, 4); (R  1, 2); (S  3, 4)

17. In List-I are shown four diagrams of real object point O, image point 1 and principal axis (optical axis).
Select the proper optical system from List-II which can produce the required image. (Image may be real
or virtual)
List-I List-II
O
(P) 1. Diverging lens
I
I
(Q) 2. Converging lens
O
O
(R) 3. Concave mirror
|ho| = |hI| I
O
(S) 4 Convex mirror
I
5. None of the above

(A) (P  1, 4); (Q  2, 3); (R  2); (S  2, 3)

(B) (P  4); (Q  1, 3); (R  2, 4); (S  3, 4)
(C) (P  5); (Q  4); (R  3, 4); (S  1, 2)
(D) (P  1, 2); (Q  1, 3); (R  3, 4); (S  5)

Space for rough work

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 PIT-2_JEE Advanced_PHASE-1+2_C-X-PCM-7

SE
ECCTIO
ONN -- III:: C
CHE
EMIS
STRY
Y
SECTION 1 (Maximum Marks: 12)
 This section contains FOUR (04) questions.
 Each question has FOUR options (A), (B), (C) and (D). ONLY ONE of these four options is the correct
answer.
 For each question, choose the option corresponding to the correct answer.
 Answer to each question will be evaluated according to the following marking scheme:
Full Marks : +3 If ONLY the correct option is chosen;
Zero Marks : 0 If none of the options is chosen (i.e. the question is unanswered);
Negative Marks : −1 In all other cases.

1. When allowed to stand for long, bleaching powder gives:

(A) Calcium chlorate (B) Calcium chloride
(C) Calcium hypochlorite (D) both (A) and (B)

2. KIO3 reacts with oxalic acid in solution to yield K2C2O4, CO2 and I2. How many grams of oxalic acid will
be required to react with one gram of KIO3?
(A) 1.262 g (B) 1.622 g
(C) 1.747 g (D) 1.022 g

3. Sulphide ores are common for the metals

(A) Ag, Cu and Pb (B) Ag, Cu and Sn
(C) Ag, Mg and Pb (D) Al, Cu and Pb

4. KMnO4 is reduced by AS2O3 in acidic medium. The number of moles of AS2O3 reacting with one mole
of KMnO4 is
(A) 0.75 (B) 1.25
(C) 1.50 (D) 2

Space for rough work

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PIT-2_JEE Advanced_PHASE-1+2_C-X-PCM-8

SECTION 2 (Maximum Marks: 12)

 This section contains THREE (03) questions.
 Each question has FOUR options (A), (B), (C) and (D). ONE OR MORE THAN ONE of these four
option(s) is (are) correct answer(s).
 For each question, choose the option(s) corresponding to (all) the correct answer(s).
 Answer to each question will be evaluated according to the following marking scheme:
Full Marks : +4 ONLY if (all) the correct option(s) is(are) chosen;
Partial Marks : +3 If all the four options are correct but ONLY three options are chosen;
Partial Marks : +2 If three or more options are correct but ONLY two options are chosen, both of
which are correct;
Partial Marks : +1 If two or more options are correct but ONLY one option is chosen and it is a
correct option;
Zero Marks : 0 If none of the options is chosen (i.e. the question is unanswered);
Negative Marks : −2 In all other cases.
 For example, in a question, if (A), (B) and (D) are the ONLY three options corresponding to correct
answers, then
choosing ONLY (A), (B) and (D) will get +4 marks;
choosing ONLY (A) and (B) will get +2 marks;
choosing ONLY (A) and (D) will get +2 marks;
choosing ONLY (B) and (D) will get +2 marks;
choosing ONLY (A) will get +1 mark;
choosing ONLY (B) will get +1 mark;
choosing ONLY (D) will get +1 mark;
choosing no option (i.e. the question is unanswered) will get 0 marks; and
choosing any other combination of options will get −2 marks.
5. Which of the following relation(s) is/are true for alkaline solution?
pK w
(A) pH  (B) pH > pOH
2
pK w
(C) pOH  (D) pH < pOH
2

6. Substance(s) which can be oxidised as well as reduced is/are

(A) HCl (B) HClO
(C) HClO3 (D) HCIO4

7. Which of the following is/are correct statement(s)?

(A) Calamine is the ore of zinc (B) Pyrolusite is the ore of manganese
(C) Casseterite is the ore of tin (D) Calcite is the ore of calcium

Space for rough work

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 PIT-2_JEE Advanced_PHASE-1+2_C-X-PCM-9

SECTION 3 (Maximum Marks: 24)

 This section contains SIX (06) questions.

 The answer to each question is a NON-NEGATIVE INTEGER.
 For each question, enter the correct integer corresponding to the answer using the mouse and the on-
screen virtual numeric keypad in the place designated to enter the answer.
 Answer to each question will be evaluated according to the following marking scheme:
Full Marks : +4 If ONLY the correct integer is entered;
Zero Mark : 0 In all other cases.

8. AO2 disproportionates into AO4 and An+ ion. If the mole ratio of AO2 undergone oxidation and
reduction is 2 : 3, the value of n is

9. The total number of monobasic and dibasic acids in the following is

H3BO3, H3PO3, H3PO4, HNO3, H2SO4, H2SiO3, H2SO5, H4SiO4

10. Consider the following reaction:

xFe(S) + yHNO3(Conc.)  Products, (x and y are stoichiometric coefficients)
The value of |x-y| for the balanced reaction is

11. The total number of amphiprotic species among the following is:
H2PO3 , HPO24 , H2PO2 , HSO4 , SO 24  , H2O

12. The total number of carbonate ore among the following is:
Limestone, Dolomite, Anglesite, Carnalite, Calamine, Chalcocite, Cryolite, Cerrusite, Azurite

13. The number of compound(s) given below having peroxide linkage is:

H2SO4, H2S2O4, H2S2O7, H2S2O8, H2S2O5, H2SO5

Space for rough work

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PIT-2_JEE Advanced_PHASE-1+2_C-X-PCM-10

SECTION 4 (Maximum Marks: 12)

 This section contains FOUR (04) Matching List Sets.
 Each set has ONE Multiple Choice Question.
 Each set has TWO lists: List-I and List-II.
 List-I has Four entries (P), (Q), (R) and (S) and List-II has Five entries (1), (2), (3), (4) and (5).
 FOUR options are given in each Multiple Choice Question based on List-I and List-II and ONLY
ONE of these four options satisfies the condition asked in the Multiple Choice Question.
 Answer to each question will be evaluated according to the following marking scheme:
Full Marks : +3 ONLY if the option corresponding to the correct combination is chosen;
Zero Marks : 0 If none of the options is chosen (i.e. the question is unanswered);
Negative Marks : −1 In all other cases.

14. Some redox reactions are given in List-I. Match them with the correct mole ratio of oxidizing to reducing
agents given in List-II
List-I List-II
(P) MnO 4  C2O 42   MnO2  CO2 1. 2 : 1
(Q) ClO  Fe  OH3  Cl  FeO24  2. 3:1

(R) HO2  Cr  OH3  CrO42   HO 3. 2:3
(S) N2H4 + Cu(OH)2  N2O + Cu 4. 3:2
5. 3:4

(A) (P  4); (Q  2); (R  3); (S  1)

(B) (P  3); (Q  4); (R  1); (S  2)
(C) (P  2); (Q  4); (R  1); (S  3)
(D) (P  2); (Q  1); (R  3); (S  5)

15. Match the following and choose the correct answer

List-I List-II
(P) Fe(NO3)2 (aq.) 1. Only cationic hydrolysis
(Q) KClO4 (aq.) 2. Only anionic hydrolysis
(R) HCOONa (aq.) 3. Both cationic as well as anionic hydrolysis
(S) NH4CN (aq.) 4. No hydrolysis
5. Can’t be predicted

(A) (P  1); (Q  4); (R  3); (S  2)

(B) (P  1); (Q  2); (R  3); (S  4)
(C) (P  1); (Q  4); (R  2); (S  3)
(D) (P  2); (Q  1); (R  3); (S  5)

16. Match the following and choose the correct answer

List-I List-II
(P) Mond’s process 1.  2Cr  AI O
Cr2 O3  2AI  2 3

(Q) van Arkel process 2. 

TiCl  2Mg  Ti  2MgCl
4 2

(R) Thermite process 3. Ni  CO 4  Ni  4CO



(S) Kroll’s process 4.  Zr  2I

ZrI4  2

5. Al2O3  2Fe  Fe2 O3  2Al

(A) (P  4); (Q  2); (R  5); (S  5)

(B) (P  1); (Q  2); (R  3); (S  4)
(C) (P  2); (Q  4); (R  1); (S  3)
(D) (P  3); (Q  4); (R  1); (S  2)

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 PIT-2_JEE Advanced_PHASE-1+2_C-X-PCM-11

17. In List-I some reactions are given and in List-II, the type of some reactions on the basis of oxidation and
reduction processes are given. Match the reactions with their type:
List-I List-II
(P) 3CaO + 2P2O5  Ca3(PO4)2 1. Disproportionation
(Q) 2Cu+  Cu  Cu2+ 2. Comproportionation
(R) NH4NO2  N2 + 2H2O 3. Non-redox
(S) CH4 + 2O2  CO2 + 2H2O 4. Combustion
5. Displacement reaction

(A) (P  4); (Q  2); (R  3); (S  1)

(B) (P  1); (Q  2); (R  3); (S  4)
(C) (P  3); (Q  1); (R  2); (S  4)
(D) (P  2); (Q  1); (R  3); (S  5)

Space for rough work

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PIT-2_JEE Advanced_PHASE-1+2_C-X-PCM-12

S
SECT
TION - IIII:: M
MAATHEMA
ATIC
CS
SECTION 1 (Maximum Marks: 12)
 This section contains FOUR (04) questions.
 Each question has FOUR options (A), (B), (C) and (D). ONLY ONE of these four options is the correct
answer.
 For each question, choose the option corresponding to the correct answer.
 Answer to each question will be evaluated according to the following marking scheme:
Full Marks : +3 If ONLY the correct option is chosen;
Zero Marks : 0 If none of the options is chosen (i.e. the question is unanswered);
Negative Marks : −1 In all other cases.

1. If tan   cot   2 , then tan10   cot10  = ______________ where 0    90 o

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

2. ABCD is a quadrilateral in which AB = AD. The bisector of BAC and CAD intersect the sides ‘BC’
and ‘CD’ at points ‘E’ and ‘F’ respectively. Then
1
(A) EF  BD (B) EF || BD
2
(C) ‘EF’ need not be parallel to BD (D) Both ‘(A)’ and ‘(B)’

3. In the given figure, A = 90°, AD = 2, DC = 6 and CBD = 2ABD, A

then ar(BCD) is 2
(A) 3 11 (B) 4 11 D
B
(C) 5 11 (D) 6 11 6

x2 y 2
4. If x = a sec .cos, y = b sec.sin and z = c tan, then  is equal to
a 2 b2
z2 z2
(A) 1  (B) 1 
c2 c2
2
z
(C)  (D) none of these
c2

Space for rough work

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 PIT-2_JEE Advanced_PHASE-1+2_C-X-PCM-13

SECTION 2 (Maximum Marks: 12)

 This section contains THREE (03) questions.
 Each question has FOUR options (A), (B), (C) and (D). ONE OR MORE THAN ONE of these four
option(s) is (are) correct answer(s).
 For each question, choose the option(s) corresponding to (all) the correct answer(s).
 Answer to each question will be evaluated according to the following marking scheme:
Full Marks : +4 ONLY if (all) the correct option(s) is(are) chosen;
Partial Marks : +3 If all the four options are correct but ONLY three options are chosen;
Partial Marks : +2 If three or more options are correct but ONLY two options are chosen, both of
which are correct;
Partial Marks : +1 If two or more options are correct but ONLY one option is chosen and it is a
correct option;
Zero Marks : 0 If none of the options is chosen (i.e. the question is unanswered);
Negative Marks : −2 In all other cases.
 For example, in a question, if (A), (B) and (D) are the ONLY three options corresponding to correct
answers, then
choosing ONLY (A), (B) and (D) will get +4 marks;
choosing ONLY (A) and (B) will get +2 marks;
choosing ONLY (A) and (D) will get +2 marks;
choosing ONLY (B) and (D) will get +2 marks;
choosing ONLY (A) will get +1 mark;
choosing ONLY (B) will get +1 mark;
choosing ONLY (D) will get +1 mark;
choosing no option (i.e. the question is unanswered) will get 0 marks; and
choosing any other combination of options will get −2 marks.

sin4 x cos 4 x 1
5. If   then which of the following is/are true.
2 3 5
2 2 sin8 x cos8 x 1
(A) tan x  (B)  
3 8 27 125
1 5
(C) tan2 x  (D) cos2 x 
3 7

6. Polynomial p(y) = y2  2k2  4y + 5 has zero at y = 1, then value of k can be

(A) 0 (B) 1
(C) – 1 (D) none of these

7. Triangle is formed by the coordinates (0, 0), (0, 21) and (21, 0). The numbers of integral coordinate
strictly inside the triangle is less than
(A) 190 (B) 105
(C) 250 (D) 205

Space for rough work

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PIT-2_JEE Advanced_PHASE-1+2_C-X-PCM-14

SECTION 3 (Maximum Marks: 24)

 This section contains SIX (06) questions.

 The answer to each question is a NON-NEGATIVE INTEGER.
 For each question, enter the correct integer corresponding to the answer using the mouse and the on-
screen virtual numeric keypad in the place designated to enter the answer.
 Answer to each question will be evaluated according to the following marking scheme:
Full Marks : +4 If ONLY the correct integer is entered;
Zero Mark : 0 In all other cases.

8.  
For a positive integer n, if the quadratic equation, x(x + 1) + (x + 1)(x + 2) + …..+ x  x  1 (x + n) =
10n has two consecutive integral solutions then value of n – 3 is

9. If the line 3x + y  9 = 0 divides the line segment joining (1, 3) and (2, 7) internally in the ratio m : n,
where HCF (m, n) = 1, find m + n.

10. The total number of real roots of the equation (x  1)2  (x  2)2  (x  3)2  ........  (x  2013)2  0 is
________.

11. If x sin  + y cos  = p and x cos  – y cos  = q, then (x2 – p2) + (y2 – q2) is

12. In PQR, P = 90° and PS  QR. If QS = 3 5 and SR = 2 10 , then (PQ)2 – (PR)2 is

13. A person observed the angle of elevation of the top of a tower is 30. He walked 40 m towards the foot
of the tower along ground level and found the angle of elevation of the top of the tower as 60. Find
1
the height of the tower.
20 3

Space for rough work

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 PIT-2_JEE Advanced_PHASE-1+2_C-X-PCM-15

SECTION 4 (Maximum Marks: 12)

 This section contains FOUR (04) Matching List Sets.
 Each set has ONE Multiple Choice Question.
 Each set has TWO lists: List-I and List-II.
 List-I has Four entries (P), (Q), (R) and (S) and List-II has Five entries (1), (2), (3), (4) and (5).
 FOUR options are given in each Multiple Choice Question based on List-I and List-II and ONLY
ONE of these four options satisfies the condition asked in the Multiple Choice Question.
 Answer to each question will be evaluated according to the following marking scheme:
Full Marks : +3 ONLY if the option corresponding to the correct combination is chosen;
Zero Marks : 0 If none of the options is chosen (i.e. the question is unanswered);
Negative Marks : −1 In all other cases.

14. Match the following:

Column I Column II
(P) 1 (1) 45°
The length of shadow of a tower is times the
3
high of tower the angle of elevation of sun is
(Q) The angle of elevation of the top of a tower 50 m high (2) 60°
at a point 50 m from its base is
(R) The length of minute hand of a wall clock is 12 cm. (3) 30°
The distance covered by tip of minute hand in 25
220
minute is . Find A
A
(S) At a point 30 m away from the base of a 10 3 m (4) 7
high pillar, the angle of elevation of its top is
(5) 110°
(A) (P)  2 (Q)  1 (R)  4 (S) 3
(B) (P)  4 (Q)  3 (R)  1 (S) 2
(C) (P)  5 (Q)  1 (R)  2 (S) 4
(D) (P)  2 (Q)  4 (R)  1 (S) 5

15. Match the following:

Column – I Column – II
In ABC, AD is the bisector of BAC. If AB = 8cm, BD =
(P) (1) 16 cm
6cm and DC = 3cm, then AC is
If ABC and DEF are similar such that 2AB = DE and
(Q) (2) 4 cm
BC = 8cm, then EF =
The length of the diagonals of a rhombus are 24cm and
(R) (3) 1
10cm. Then each side of rhombus is
In the following figure, BD = x, DC = y, BAC = 90° and
 AB 2   AC2
ADC = 90°. Then .
x2  y 2
A
(S) (4) 13 cm

B x D y C
(5) 3/5
(A) (P)  3 (Q)  1 (R)  2 (S) 4
(B) (P)  2 (Q)  1 (R)  4 (S) 3
(C) (P)  5 (Q)  1 (R)  4 (S) 2
(D) (P)  3 (Q)  4 (R)  1 (S) 2

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PIT-2_JEE Advanced_PHASE-1+2_C-X-PCM-16

16. Match the following:

Column – I Column – II
(P) The remainder when 712 is divided by 47 is (1) 5
For what positive value of k, (k + 4)x2 + (k + 1)x + 1 = 0
(Q) (2) 0
has equal roots.
(R) If zeroes of x 3  3x 2  x  1 are a – b, a, a + b then value (3) 17
of a is
(S)   
Coefficient of x3 in x 2  2x  1 x 2  2x  1 is (4) 1
(5) 12
(A) (P)  3 (Q)  1 (R)  2 (S) 4
(B) (P)  4 (Q)  1 (R)  3 (S) 2
(C) (P)  5 (Q)  1 (R)  4 (S) 2
(D) (P)  3 (Q)  1 (R)  4 (S) 2

17. Match the following:

Column – I Column – II
The value of k for which the equations x + 2y + 7 = 0 and all real numbers
(P) (1)
2x + ky + 14 = 0 represent coincident lines excepts 5
For what value of k equations 9x + 15y = 15 and 3x + ky 9
(Q) (2)
= 5 posses unique solution
Simultaneous linear equations given as 2a + b  1 = 0 4
(R) a (3)
and a + b + 5 = 0, then is
b
If x + y = 2 and x  y = 4, then value of 6
(S) (4) 
x2  y2  2y  1 is 11
(5) 3
(A) (P)  3 (Q)  1 (R)  4 (S) 2
(B) (P)  5 (Q)  1 (R)  2 (S) 3
(C) (P)  4 (Q)  5 (R)  1 (S) 2
(D) (P)  2 (Q)  4 (R)  1 (S) 5

Space for rough work

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 PIT-2_JEE Advanced_PHASE-1+2_C-X-PCM-17

FIITJEE PIT-2 Test (JEE- QP Code: 101394

Advanced)
ANSWERS
Physics [SECTION-I]
SECTION–I
1. A 2. A 3. A 4. D
SECTION–II
5. A, D 6. A, B, C 7. A, C, D
SECTION–III
8. 5 9. 6 10. 2 11. 4
12. 2 13. 5
SECTION–IV
14. C 15. C 16. D 17. A

Chemistry [SECTION-II]
SECTION–I
1. D 2. A 3. A 4. B
SECTION–II
5. A, B, C 6. B, C 7. A, B, C, D
SECTION–III
8. 2 9. 6 10. 5 11. 4
12. 5 13. 2
SECTION–IV
14. B 15. C 16. D 17. C

Mathematics [SECTION-III]
SECTION–I
1. D 2. B 3. D 4. B
SECTION–II
5. A, B 6. B, C 7. C, D
SECTION–III
8. 8 9. 7 10. 0 11. 0
12. 5 13. 1
SECTION–IV
14. A 15. B 16. D 17. A

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