@bohring Bot × @JEE Tests 25 04 24 OSR STAR CO SC JEE ADV 2023
@bohring Bot × @JEE Tests 25 04 24 OSR STAR CO SC JEE ADV 2023
@bohring Bot × @JEE Tests 25 04 24 OSR STAR CO SC JEE ADV 2023
PHYSICS
+Ve - Ve No.of Total
Section Question Type
Marks Marks Qs marks
Questions with Multiple Correct Choice
Sec – I (Q.N : 18 – 20) +4 -2 3 12
(partial marking scheme) (+1,0)
Sec – II (Q.N : 21 – 24) Questions with Single Correct Options +3 -1 4 12
Sec – III (Q.N : 25 – 30) Questions with Non-Negative Integer type +4 0 6 24
Sec – IV (Q.N : 31 – 34) Questions with MATRIX MATCH +3 -1 4 12
Total 17 60
CHEMISTRY
+Ve - Ve No.of Total
Section Question Type
Marks Marks Qs marks
Questions with Multiple Correct Choice
Sec – I (Q.N : 35 – 37) +4 -2 3 12
(partial marking scheme) (+1,0)
Sec – II (Q.N : 38 – 41) Questions with Single Correct Options +3 -1 4 12
Sec – III (Q.N : 42 – 47) Questions with Non-Negative Integer type +4 0 6 24
Sec – IV (Q.N : 48 –51) Questions with MATRIX MATCH +3 -1 4 12
Total 17 60
D) l 2 2m 2 3n 2 2
3. OA, OB and OC are coterminous edges of a rectangular parallelopiped and with
OA 2,OB 4,OC 3 as shown in the figure below. (not in scale)
coefficients satisfying P x x for all x 1,1 . Then the maximum possible value of
2a 3a1 is
10
0
5. Consider 200 integers having mean, median, range and the unique mode all having the
same value 200. If A is the largest integer among these 200 integers, then the sum of the
digits of the maximum value of A is
A) 21 B) 4 C) 20 D) 2
1
6. Let an be a sequence satisfying a1 1 and an an 1 n 1, n N . If the value of
an 1
7. Consider 12 12 square matrix filled with natural numbers from 1 to 144 as given:
1 13 25 133
2 14 26 134
3 15 27 135
4 16 28 136
12 24 36 144
A number is selected at random from the board and the corresponding row and column
are deleted. The process is continued upto 12 times so that no row and no column is left.
If sum of all the selected numbers is N, then the sum of digits of N is
A) 10 B) 22 C) 15 D) 7
x ,0 log ba ,log bc log ca ,log bd where a, b, c, d N and [.] denotes the greatest
13
10. If sin 1 cos 2 x sin 4 x for some x R , then the least integer just more than the
14
value of 10 sin 1 sin 2 x cos 4 x cos 1 sin 2 x cos 4 x is
11. Consider the locus equation x 2 y 2 x y 0 ([.] denotes G.I.F) which consists of
line segments when plotted in Cartesian plane. If the sum of lengths of all possible line
segment is given by a b c a, b, c N . then a b c
12. Consider the highest power of 5 in the product 1.2 .3 ..n n is given by H n (i.e.,
1 2 3
H n denotes the largest integer k such that 5k is an integral divisor of above product).
n2
Then the value of lim
n H n
13. Let a, b, c R such that abc a c b . If the maximum value of the expression
2 2 3
E a, b, c is Em and corresponding values of a, b, c are am , bm
a 2 1 b2 1 c 2 1
and cm respectively, then the value of Em bm am cm
b b b
'O' is assumed to be origin. A small ball of density 0 is kept at , , as shown in
2 2 2
figure and an acceleration 2giˆ gjˆ is given to container. Uniform gravity exists along
negative y-axis. Now, choose the correct option(s).
C) If 30 then small ball will hit the midpoint of edge GF.
20. A car has side window made of glass (shear strength 40 M Pa ) having size
40 cm 40 cm . The car is travelling with a velocity of 40 m / s in still air. Density of
air can be assumed to be 1.25 kg / m3 . The windows are closed.
A) If the glass is very thin, it may break and fall into the car.
B) If the glass is very thin, it may break & fall out of the car.
C) If we want that glass should not break, it's thickness should be greater than 2.5 m .
D) If we want that glass should not break, it's thickness should be greater than 8.75 m .
2 21 4 8
A) l B) l C) l D) l
5 50 9 9
22. Point A on the rod AB has an acceleration of 5 m / s 2 and a velocity of 6 m / s at an
instant as shown in the figure. The acceleration of the end B at the same moment is
80 ˆ 80 40
A) im / s 2 B) îm / s 2 C) î m / s 2 D) 40ˆi m / s 2
3 3 3
23. Suppose a uniform steel ring (mass M and radius R ) is kept on a smooth horizontal
surface with its plane horizontal. It is hinged about a point O on the perimeter & is
made to rotate in a horizontal plane as shown (A, B & C are points on the ring). Then,
regarding longitudinal stress developed in the ring :
27. A flexible drive belt runs over a frictionless pulley as shown in figure. The pulley is
rotating freely about the vertical axis passing through the centre O of the pulley. The
vertical axis is fixed on the horizontal smooth surface. The mass per unit length of the
drive belt is 1 kg / m and the tension (T) in the drive belt 8 N . The speed(constant) of the
drive belt is 2 m / s . Find the net normal force applied by the belt on the pulley in
newtons.
m
28. Three blocks A, B and C of masses m, and m respectively, of different densities and
2
dimensions are placed over each other as shown in the figure. The coefficients of friction
are shown. Blocks are made to move towards right with same velocity at the instant
shown and left. Find the time (in s) taken by the upper block A to topple from the middle
block B. Assume that blocks B and C don't stop sliding before A topples from B.
given L 36m, 0.4 and g 10m / s
2
30. Three weightless pulleys with radii R, 2 R and 3R are concentrically fastened together to
make a single triple pulley system and mounted on an axis on which the triple pulley can
rotate without friction (figure). The threads are light and they do not slip on the pulley.
We suspended masses 8 m, m and 2 m as shown. What is the acceleration inm / s 2 of
mass 8 m ? g 10 m / s 2
LIST-I LIST-II
LIST-I LIST-II
The three ants meet at the centroid of the triangle 3
(P) (1)
at time (in s) 2
List-I List-II
The curve in the figure, which is the graph of the
(a) velocity ratio v1 f / v1i versus the mass ratio m1 / m2 (p) A
(t) -1
A) a r; b t;c u; d p B) a p; b q;c r;d s
C) a q; b r; c s; d t D) a p; b t;c q; d r
34. A particle of mass m 1 kg can move under influence of a conservative force. The
potential energy U of the particle under this force varies with its co-ordinate x as
U 4( x 1) 2 ( x 2) 2 where all quantities are in SI units. Column I gives few initial states
of the particle, and Column II lists the possibilities regarding its motion. Match them.
List-I List-II
Will oscillate with an
(A) Particle released at x 1m (P)
angular frequency 2rad / s .
Will move in negative x
(B) Particle released at x 1m (Q)
direction
Particle kept at x 1.5m and given a
(C) (R) Will remain in equilibrium
very small push in positive x direction
Particle kept at x 1.5m and given a
(D) (S) Will move to infinity
very small push in negative x direction
A) A- P, B-Q, C-S, D-R B) A- QS, B-R, C-S, D-P
C) A-PQ, B-RS, C-P, D-R D) A-Q, B-P, C-S, D-R
36.
A) P is a trans-alkene
B) Q1 is a pure compound and optically inactive due to internal compensation
C) In the P to Q1 conversion step the Br2 adds on P in a syn manner and the
intermediate formed is a cyclic brominium ion.
D) Q2 is a binary mixture and is optically inactive due to external compensation.
43. How many of the following anions do not exist as hydrated ions in water
45. Find the quantum number ' n ' corresponding to the excited state of He ion, if one
transition to the ground state that ion emits two photons in succession with wavelengths
108.5 nm and 30.4 nm .
46. A hydrocarbon (X) contains 91.2% carbon and 8.8% hydrogen. The compound on
chlorination using Cl2 / hv and Cl2 / AlCl3 gives three isomeric monochloro substituted
Total number of atoms present in X
products. Find the value of ' Y ' where Y
5
B) sp hybridization Q) XeF2
C) sp 3d hybridization R) C2 H 2
D) CO 2 is isostructural to S) NCO
100 ml of mixture I required ' W ' and ' X ' ml of 1M HCl in separate titrations using
phenolphthalein and Methyl orange indicators. While 100 ml of mixture II required ' Y '
and ' Z ' ml of same HCl solution in separate titration using same indicators.
Column II
Column I (Substance)
(Molarity in solution)
A) Na 2 CO3 in mixture I P) 2w x 102
B) Na 2 CO3 in mixture II Q) z 2 y 102
C) NaOH in mixture I R) y 102
D) NaHCO3 in mixture II S) x w 102
A) A-S; B-R; C-Q; D-P C) A-P; B-Q; C-S; D-R
B) A-S; B-R; C-P; D-Q D) A-P; B-S; C-Q; D-R
50. Match each of the compounds given in column-I with the reaction that they can undergo
given in column-II
List-I List-II
(T) Dehydrogenation
A) A-PQ; B-ST; C-Q; D-RS
List-I List-II
(D) (S)