02 06 24 JR Iit Star Co Scmodel A Jee Adv 2022P I Wat 8 QP
02 06 24 JR Iit Star Co Scmodel A Jee Adv 2022P I Wat 8 QP
02 06 24 JR Iit Star Co Scmodel A Jee Adv 2022P I Wat 8 QP
MATHEMATICS :
+Ve - Ve No.of Total
Section Question Type
Marks Marks Qs marks
Questions with Numerical Value Type
Sec – I (Q.N : 1 – 8) (e.g. 6.25, 7.00, ‐0.33, ‐.30, 30.27, +3 0 8 24
‐127.30)
One of More Correct Options Type
Sec – II (Q.N : 9 – 14) +4 -2 6 24
(partial marking scheme) (+1)
Sec – III (Q.N : 15 – 18) Matrix Matching Type +3 -1 4 12
Total 18 60
PHYSICS:
+Ve - Ve No.of Total
Section Question Type
Marks Marks Qs marks
Questions with Numerical Value Type
Sec – I (Q.N : 19 – 26) (e.g. 6.25, 7.00, ‐0.33, ‐.30, 30.27, +3 0 8 24
‐127.30)
One of More Correct Options Type
Sec – II (Q.N : 27 – 32) +4 -2 6 24
(partial marking scheme) (+1)
Sec – III (Q.N : 33 – 36) Matrix Matching Type +3 -1 4 12
Total 18 60
CHEMISTRY:
+Ve - Ve No.of Total
Section Question Type
Marks Marks Qs marks
Questions with Numerical Value Type
Sec – I (Q.N : 37 – 44) (e.g. 6.25, 7.00, ‐0.33, ‐.30, 30.27, +3 0 8 24
‐127.30)
One of More Correct Options Type
Sec – II (Q.N : 45 – 50) +4 -2 6 24
(partial marking scheme) (+1)
Sec – III (Q.N : 51 – 54) Matrix Matching Type +3 -1 4 12
Total 18 60
5n 2 n
3. The value of n
is equal to
n 1 10
4.
If x 2 5 x 1 x 2 x 1 8 x 2 0 and let is the number of distinct real roots and
is the number of distinct non real roots of the equation. Then absolute value of is
2 3
5. If 2 10 12, 2 15 27 and , then the value of is
7. First term of an A.P. of distinct terms is 3 and its second, tenth and thirty-fourth terms
form a G.P., then the common difference is
8. Let a1, a2 , a3..... be a G.P. with a1 a and common ratio r, where a and r
positive integers, then the number of ordered pairs (a,r) such that
12
log8 ar 2010 is
r 1
1 1
C) If the common difference of the A.P. is , then its first term is
4 3
10. For an increasing A.P. a1, a2 .....an if a1 a2 a3 a5 19 and a1a3a5 80, then which
of the following is/are true?
A) a1 10 B) a2 1 C) a3 4 D) a5 2
11. There are two different A.P’s 3, 6, 9, 12, …… 3r…..81 and 2, 4, 6, 8, …. 2r…..76, then
which of the following is true
A) common difference of common term is 3
B) Number of commons terms between two A.P’s is 12
C) 10th common term is 60
D) sum of the common terms is 468
12. The consecutive digits of a three-digit number are in G.P. If the middle digit is increased
by 2, then they form an A.P. If 792 is subtracted from that three digit number, then we
get the number constituting of same three digits but in reverse order. Then number is
divisible by
A) 7 B) 49 C) 19 D) None of these
13. If the arithmetic mean of two positive numbers a & b(a b) is twice their geometric
mean, then a : b can be
A) 2 3 : 2 3 B) 7 4 3 :1 C) 1: 7 4 3 D) 2 : 3
SECTION - III
(Maximum Marks: 12)
This section contains FOUR (04) questions.
Each question has TWO (02) matching lists: LIST-I and LIST-II.
FOUR options are given representing matching of elements from LIST-I and LIST-II. ONLY ONE of these four
options corresponds to a correct matching.
For each question, choose the option corresponding to the correct matching.
For each question, choose the option corresponding to the correct matching.
Full Marks : +3 If ONLY the option corresponding to the correct matching 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.
15. Match the following
List – I List – II
The possible integral value of for which
I) P) 2
2 x 2 8x 4 0x R is
The equation x 2 2 a 2 1 x a 2 14a 48 0
II) possesses roots of opposite signs, then the value of Q) 7
‘a’ can be
The number of negative integers satisfying the
III) R) 4
inequality 2 x 2 2 x3 2 x 4 5 x 1 5x 2
The number of negative integers satisfying the
IV) x2 x S) 0
inequality log 0.6 log 6
0
x 4
The correct option is:
A) I – Q, II – R, III – P, IV – S B) I – Q, II – Q, III – S, IV – S
C) I – R, II – Q, III – S, IV – S D) I – Q, II – Q, III – R, IV – S
List – I List – II
Let Sn , S2 n , S3n are the sums of n,2n,3n terms of an
I) S3 n P) 3
arithmetic progression, then is equal to
S2 n S n
If a1 3, an 96, and S n 189 , the number of terms in
II) Q) 4
the G.P. is ___
Let g n be the nth term of the geometric progression of
100 100
10 5
III) positive numbers. If g2n
3
and g 2n1 , then
9
R) 6
n1 n1
the common ratio of geometric progression is
A geometric progression consists of an even number of
IV) terms. If the sum of all the terms is 5 times the sum of S) 8
terms occupy the odd place then its common ratio is
T) 10
The correct option is:
A) I – P, II – R, III – R, IV – Q B) I – P, II – R, III – S, IV – T
C) I – P, II – R, III – P, IV – T D) I – P, II – R, III – R, IV – S
17. Match the following:
List – I List – II
7
If log 5 2, log 5 (2 x 5) and log 5 2 x are in A.P.,
I) 2 P) 6
then value of 2x is equal to
Let S n denote sum of first n terms of an A.P. If
II) S3n Q) 9
S2 n 3Sn , then is
Sn
8 12 16
III) Sum of infinite AGP 4 2 3 .... is R) 4
3 3 3
The length, breadth, height of a rectangular box are
IV) in G.P., The volume is 27, the total surface area is S) 1
78. Then the length is (Smaller than Height)
T) 0
The correct option is:
A) I – P, II – R, III – T, IV – Q B) I – Q, II – P, III – S, IV – T
C) I – P, II – P, III – Q, IV – S D) I – Q, II – T, III – R, IV – S
JR.IIT_*CO-SC Page. No. 6
Narayana IIT Academy 02-06-24_JR.*CO-SC_JEE-ADV_WAT-8_ QP
18. Match the following.
List – I List – II
4 7 10 a
1 2 3 ..... to , where H.C.F (a, b) 1, then
IV) 5 5 5 b S) 30
a b is less than
20. A person crosses the river twice on the same path from same starting point to same end
point directed at an angle 0 300 with the downstream direction, first time in 2 minutes
and second time in 4 minutes. If the speed of person relative to water flow is 3m / s in
both case. Find speed of the water flow in m/s
21. A stream of water coming out from a pipe at point A as shown in figure. A rod AD along
the projected velocity of stream. There are four points A,B,C,D on the rod (AB = BC =
CD) from which string of length 1 , 2 , 3 are hanging. These string are touching the
trajectory of stream of water. If the length 2 4 cm find 3
23. A man moving on track ABC, getting rain drops vertical for the path AB, and along
10
same line of his motion for path BC then actual speed of rain drop is m/s
n
n=?
24. Two particles P and Q move with constant velocities v1 2ms 1 and v2 4ms 1 along two
mutually perpendicular straight lines towards the intersection point 0. At moment t=0,
the particles were located at distances l1 12m and l2 19m from 0, respectively. Find the
time in second when they are nearest.
25. A particle is released from the top of an equilateral triangular groove which is made in
the plane of an incline plane of inclination 530 . The corners of triangular groove are
curved to neglect impulse. Side of triangle is 8 3 m. calculate the time of a complete
round trip (at corners there is no change in speed) ( g 10 m / s 2 ) & tan 530
4
3
SECTION – II
(Maximum Marks : 24)
This section contains SIX(06) multiple choice questions. Each question has 4 options (A), (B), (C) and (D) for its
answer, out of which ONE OR MORE THAN ONE option can be correct.
Marking scheme: +4 for all correct options & +1 partial marks, 0 if not attempted and -2 in all wrong cases
27. Two particles are projected simultaneously from two points O and O such that d is the
horizontal distance and h is the vertical distance between them as shown in the figure.
They are projected at the same inclination to the horizontal with the same speed . The
time after which their separation becomes minimum is
d 2d d d
A) B) C) D)
cos cos 2 cos
28. A cat is chasing a rat. The rat is running with a constant velocity u. The cat moves with
constant speed v v u with her velocity always directed towards the rat. Consider time
to be t 0 at an instant where both are moving perpendicular to each other and separation
between then is L. choose the correct statement(s)
D) The acceleration of cat immediately before it catches the rat is almost zero.
30. A railway compartment is 16m long, 2.4m wide and 3.2m height , it is moving
horizontally with a constant velocity v as shown in the figure. A particle moving
horizontally with a speed u perpendicular to the direction of motion enters the
compartment through a hole at an upper corner A and strikes the diagonally opposite
corner B. Assuming g 10m / s 2 . Which of the following statements are correct?
( g 10 m / s 2 )
A) v 20 m / s
B) u 3 m / s
plane in which the rain is falling. Then which of the following statement(s) are true:
A) It is not possible
C) Speed of the man when he finds rain to be falling at angle 450 with the vertical, is
4m/s.
D) The man has travelled a distance 16m on the road by the time he again finds rain to
be falling at angle 450
32. A water sprinkler is positioned at O on horizontal ground as shown (in top view). Water
sprinkler sprays water drops in every possible direction with fixed speed u. This way the
sprinkler is able to completely wet maximum circular area(of radius R) of ground as
u
shown in diagram. Now a horizontal wind starts blowing at speed of . Choose
2 2
CORRECT statements
A) After the wind starts moving it will again wet a circular area of same radius.
u4
B) The area which wet after wind start moving is
g2
R
C) Centre of circle shifts by a distance of
2
C) A-S,B-R,C-P,D-Q D) A-S,B-P,C-Q,D-R
34. In the shown figure, both cat and dog starts from rest. Cat has constant acceleration a in
the shown direction. Dog also increases its speed at a constant rate ‘b’. But the direction
of its velocity is always towards A.
a 3 m / s , b 5 m / s , l 160m
2 2
35. Two cannon A and B situated at two cliffs fire as shown. Cannon A fires 1 sec after
cannon B and they collide in the mid air. ( g 10 m / s 2 )
Column-I Column-II
A) D = ___ meter P) 5
A) A – Q ; B – S ; C – P ; D – R B) A – R ; B – P ; C – S ; D – P
C) A – R ; B – Q ; C – P ; D – S D) A – R ; B – S ; C – P ; D – Q
trolley)
List-I List-II
Time of flight of shell in seconds for an
A) P) 6 3
observer on the ground
v) For all the salts completely soluble in water, the magnitude of sum of the enthalpies
of hydration of ions is greater than lattice enthalpy of the salt, then the salt is completely
soluble in water
vii) H 0f 0 I 2 solid
39. The difference between heat absorbed at constant pressure and constant volume for the
reaction
2C6 H 6 l 15O2 g 12CO2 g 6 H 2O l at 298 K in kJ is
40. Enthalpy of neutralization of oxalic acid is -25.4 kcal/ mol using strong base, NaOH.
Enthalpy change for the process in (k Cal)
H 2C2O4 aq 2 H aq C2O42 aq
42. 2.4 g coal is burnt in a bomb calorimeter in excess of oxygen at 298 K and 1 atm pressure.
The temperature of the calorimeter rises from 298 K to 300 K . The enthalpy change
during the combustion of coal is x kJ mol 1 . The value of x is____ . (Nearest integer)
43. If bond dissociation energies of XY, X2 and Y2 (all diatomic molecules) are in the ratio
of 1:1:0.5 and H f for the formation of XY is -200 kJ mol 1 . The bond dissociation
44. The enthalpy of atomization of CH 4 and C2 H 6 are 360 and 620 k mol 1 respectively. The C–
C bond enthalpy (in kcal/mole) is expected to be.
SECTION – II
(Maximum Marks : 24)
This section contains SIX(06) multiple choice questions. Each question has 4 options (A), (B), (C) and (D) for its
answer, out of which ONE OR MORE THAN ONE option can be correct.
Marking scheme: +4 for all correct options & +1 partial marks, 0 if not attempted and -2 in all wrong cases
45. Which of the following statement(s) is/are true?
B) f H S , monoclinic 0
o
C) If dissociation energy CH4(g) is 1656 kJ/mol and C2H6(g) is 2812 kJ/mol, then value
of C–C bond energy will be 328 kJ/mol
B) H 0
f of CO2 g is same as the H comb of carbon (graphite)
C) All exothermic reactions have a free energy change negative
D) For a reaction N 2 g O2 g 2 NO g the heat at constant pressure and the heat at
B) H BE H H is equal to H f of H g
C) H BE H H is equal to H atomisation of H 2 g
49. Which of the following do(es) not represent Hº formation of the product.
A) H 2 g I 2 s 2 HI g B) 3 / 2O2 g O3 g
Column-I Column-II
A) C (Diamond) + O2 g CO2 g P) r H 0 c H 0
B) C (Graphite) + O2 g CO2 g Q) r H 0 f H 0
C) H 2 g 2H g R) r H 0 atomization H 0
D) CH 4 g C g 4 H g S) r H 0 bond H 0
A) A Q ; B P, Q ; C R, S ; D R B) A P ; B R, S ; C P, Q ; D R
C) A R ; B P, Q ; C R, S ; D P D) A P ; B P, Q ; C R, S ; D R
Column-I Column-II
1
A) C s O2 g CO g P) Combustion
2
1
B) CO g O2 g CO2 g Q) Neutralization
2
A) A P; B R, ; C Q ; D P, R , S B) A R; B P, ; C P, Q ; D P , S
C) A R; B P, ; C Q ; D P, R , S D) A R; B P, ; C R ; D Q
Column-I Column-II
1
C) CO g O2 g CO2 g R) H 0 atomization
2
D) CH 4 g C g 4 H g S) H 0sublimation
A) A p, q; B q, r , s; C p; D r B) A q, r ; B p, q; C p; D r
C) A p, q; B q, r , s; C r ; D p D) A p, q; B p; C q, r ; D r
1
C s graphite O 2 g CO g x kcal at 25° C and 1 atm
2
(B.E. = Bond dissociation enthalpy)
Column-I Column-II
B) H U Q) 0
C) H f CO g R) +0.3 kcal
D) H f O 2 g S) +x kcal
A) A R; B S ; C Q; D P B) A Q; B R; C P; D S
C) A S ; B P; C R; D Q D) A S ; B R; C P; D Q