Registered Office : Aakash Tower, 8, Pusa Road, New Delhi-110005. Ph.: (011) 47623456 Fax: (011) 47623472
Sample Paper
(Class XII Studying moving to XII Passed)
Physics, Chemistry & Mathematics
ENGINEERING
1. Duration of Test is 1 hr.
2. The Test booklet consists of 35 questions. The maximum
marks are 90. There is no negative marking for wrong
answer.
3. Pattern of the questions are as under:
(i) This question paper consists of three parts i.e.,
Physics, Chemistry and Mathematics, each having
five sections.
(ii) Section-I: This section contains 16 multiple choice
questions, which have only one correct answer.
Each question carries +2 marks for correct answer.
(iii) Section-II: This section contains 7 multiple choice
questions, in which more than one answer may be
correct. Each question carries +4 marks for correct
answer.
(iv) Section-III: This section contains 6 multiple choice
questions based on paragraphs, which have only
one correct answer. Each question carries +2 marks
for correct answer.
(v) Section-IV: This section contains 3 multiple choice
questions based on assertion-reason type, which
have only one correct answer. Each question carries
+2 marks for correct answer.
(vi) Section-V: This section contains 3 questions. Each
question has two matching Columns. Column-I has
four entries (A, B, C, D) and Column-II has four entries
(P, Q, R, S). Each entry in Column-I may match with
one or more entries in Column-II. Each question
carries +4 marks for correct answer.
ANTHE-2020 (Engineering) (For Class XII Studying moving to XII Passed) - (Sample Paper)
1
Space for Rough Work
The questions given in sample paper are indicative of the level and pattern of questions that will be asked in ANTHE-2020)
Time : 1 Hour MM : 90
PHYSICS
SECTION-I : SINGLE ANSWER TYPE
This section contains 5 multiple choice questions. Each question has 4 choices (1), (2), (3) and (4) out of which
ONLY ONE is correct.
1. Current I flows in equilateral triangular loop of side length a. Magnetic field at the centroid of triangle is
(1) 09 I
a
(2) 09
2
I
a
(3) 03 3
2
I
a
(4) 03 3 I
a
2. Electric field as a function of x-coordinate in the region is shown in figure. If potential at origin is 5 V, then
maximum potential in the region, is
(1) 35 V (2) 30 V
(3) 20 V (4) 25 V
8
3 6O
–10
E (N/C)
x (m)
(For Class XII Studying moving to XII Passed) - (Sample Paper) ANTHE-2020 (Engineering)
2
Space for Rough Work
3. Current through a conductor of resistance R varies with time t as shown. Total heat dissipated in resistor, is
(1) 202
3
i RT (2)
20
6
i RT
(3) 20
3
i RT (4)
20
2
i RT
4. In steady state, potential difference across capacitor shown in diagram, is
(1) 0
3
V (2) 02
3
V
(3) 0
2
V (4) 0
4
V
5. In a plane other than magnetic meridian angle of dip is 45º. If angle made by magnetic meridian with plane
is , then true angle of dip is
(1) 1 2tan (cos ) (2) 1tan (cos )
(3) 1tan (sec ) (4) 1tan (sin )
Tt
i0
i
V0
R
R
2R
C
ANTHE-2020 (Engineering) (For Class XII Studying moving to XII Passed) - (Sample Paper)
3
Space for Rough Work
SECTION-II : MORE THAN ONE ANSWER TYPE
This section contains 2 multiple choice questions. Each question has 4 choices (1), (2), (3) and (4) out of which
MORE THAN ONE answer may be correct.
6. Consider the circuit shown, switch (S) is closed at t = 0. If current through battery is I1, just after switch is
closed and I2 after a long time, then
(1) 01
2
VI
R (2) 1
2
4
3
II
(3) 21
4
3
II (4) 0
2
2
3
VI
R
7. Inside a neutral metallic hollow spherical shell of radius R, a charge q is placed
(1) Electric field inside the shell is zero
(2) Electric field inside the shell is non-uniform
(3) Charge distribution on outer surface of shell is uniform
(4) Charge distribution on outer surface of shell is non-uniform
V0
R
LR
S
R
q
(For Class XII Studying moving to XII Passed) - (Sample Paper) ANTHE-2020 (Engineering)
4
Space for Rough Work
SECTION-III : PARAGRAPH TYPE
This section contains a paragraph. Based upon this paragraph, 2 multiple choice questions have to be answered.
Each question has 4 choices (1), (2), (3) and (4), out of which ONLY ONE is correct.
Paragraph for Q. Nos. 8 & 9
For the circuit shown in figure, if batteries are ideal, then answer the following questions.
8. Power delivered by battery of potential 2V0 at steady state, is
(1) 2
0
2
V
R (2)
20
3
V
R
(3) 2
02
5
V
R (4)
20
4
V
R
9. Potential across capacitor at steady state, is
(1) 0
3
V (2) 0
2
V
(3) 02
5
V (4) 0
4
V
SECTION-IV : ASSERTION & REASON TYPE
This section contains 1 Assertion-Reason type question, which has 4 choices (1), (2), (3) and (4) out of which
ONLY ONE is correct.
10. A : A potentiometer of larger length is used for accurate measurement.
R : The potential gradient for a given potentiometer of longer length for a given source becomes small.
(1) Both (A) and (R) are true and (R) is the correct explanation of (A)
(2) Both (A) and (R) are true but (R) is not the correct explanation of (A)
(3) (A) is true but (R) is false
(4) (A) is false but (R) is true
R
3R
V0
2V0
V0 C
ANTHE-2020 (Engineering) (For Class XII Studying moving to XII Passed) - (Sample Paper)
5
Space for Rough Work
SECTION-V : MATRIX MATCH TYPE
This section contains 1 Matrix Match type question, which has 2 Columns (Column-I and Column-II). Column-I
has four entries (A), (B), (C) and (D), Column-II has four entries (P), (Q), (R) and (S). Match the entries in
Column-I with the entries in Column-II. Each entry in Column-I may match with one or more entries in Column-II.
The OMR contains a 4 × 4 matrix whose layout will be similar to the one shown below:
For each entry in Column-I, darken the bubbles of all the matching entries. For example, if entry (A) in Column-I
matches with entries (Q), (R) and (S), then darken these three bubbles in the OMR. Similarly, for entries (B), (C)
and (D).
11. For the circuit shown in Column-I applied voltage is 0 sin( ). V V t Column-II lists the current in circuit listed
in Column-I. Match the entries in Column-I with Column-II.
Column-I Column-II
(A)
(P) 0 sin
2 3
Vt
R
(B)
(Q) 0 sin2
V
tR
(C)
(R) 0 sin
2 3
Vt
R
(D)
(S) 0 sin
2 6
Vt
R
(A)
(B)
(C)
(D)
(P)
(P)
(P)
(P)
(Q)
(Q)
(Q)
(Q)
(R)
(R)
(R)
(R)
(S)
(S)
(S)
(S)
R 3R
R3R
3RR
2R
(For Class XII Studying moving to XII Passed) - (Sample Paper) ANTHE-2020 (Engineering)
6
Space for Rough Work
CHEMISTRY
SECTION-I : SINGLE ANSWER TYPE
This section contains 5 multiple choice questions. Each question has 4 choices (1), (2), (3) and (4) out of which
ONLY ONE is correct.
12. The time required for the completion of 93.75% of a first order reaction is ______ times the time required for
50% completion of the reaction.
(1) 3.0 (2) 3.5
(3) 4.0 (4) 4.5
13. What is the emf of the following electrochemical cell at 25ºC?
2 2Pt | H (10 atm) | HCl(pH 4.7) || HCl(pH 1.3) | H (1 atm) | Pt
(1) 0.2301 V (2) –0.2006 V
(3) –0.2301 V (4) 0.2006 V
14. The longest P – P bond length is observed in
(1) Cl2P – PCl2 (2) F2P – PF2
(3) HFP – PFH (4) H2P – PH2
15. Cl2O6 exists as ionic species in the solid state. What are the oxidation states of Cl in the cationic and anionic
part respectively?
(1) +4 and +6 (2) +5 and +7
(3) +6 and +6 (4) +3 and +7
16. In the following sequence of reactions, identify compounds (B) and (C).
(1) (B) is BaCO3; (C) is CO2 (2) (B) is BaSO3; (C) is SO2
(3) (B) is BaS; (C) is H2S (4) (B) is Ba; (C) is H2
Na SO (aq)2 4
BaCl (aq)2
(A)Carbon
(B)
dil. HCl(C)
(White ppt) (Solid) (Gas)
ANTHE-2020 (Engineering) (For Class XII Studying moving to XII Passed) - (Sample Paper)
7
Space for Rough Work
SECTION-II : MORE THAN ONE ANSWER TYPE
This section contains 2 multiple choice questions. Each question has 4 choices (1), (2), (3) and (4) out of which
MORE THAN ONE answer may be correct.
17. The d orbitals involved in sp3d
3 hybridisation of IF7 having pentagonal bipyramidal arrangement are
(1) xyd (2) zxd
(3) 2zd (4) 2 2x y
d
18. Which of the following cannot function as protective colloids?
(1) Gelatin (2) As2S3 sol
(3) Starch (4) Sulphur sol
SECTION-III : PARAGRAPH TYPE
This section contains a paragraph. Based upon this paragraph, 2 multiple choice questions have to be answered.
Each question has 4 choices (1), (2), (3) and (4), out of which ONLY ONE is correct.
Paragraph for Q. Nos. 19 & 20
A brown coloured solid (X) is obtained when chlorine gas is passed over heated copper. The compound (X) is
predominantly covalent and has a layered structure. When conc. HCl is added to an aqueous solution of (X), a
yellow coloured solution is obtained. On dilution the colour changes to green and on further dilution, the colour of
solution becomes blue.
19. How many Cl– ions are surrounding each Cu
2+ ion in solid (X)?
(1) 4 (2) 6
(3) 8 (4) 12
20. The green colour of the solution obtained by dilution of mixture of aqueous solution of (X) and conc. HCl is
due to
(1) [CuCl4]2–
only
(2) [Cu(H2O)4]2+
only
(3) [CuCl4]2–
and [Cu(H2O)4]2+
both
(4) [CuCl4]3–
only
(For Class XII Studying moving to XII Passed) - (Sample Paper) ANTHE-2020 (Engineering)
8
Space for Rough Work
SECTION-IV : ASSERTION & REASON TYPE
This section contains 1 Assertion-Reason type question, which has 4 choices (1), (2), (3) and (4) out of which
ONLY ONE is correct.
21. A : Henry’s law constant of a gas is the slope of plot of Pgas vs mole fraction of gas (in dissolved form).
R : The value of Henry’s law constant of a gas increases with the increase of temperature.
(1) Both (A) and (R) are true and (R) is the correct explanation of (A)
(2) Both (A) and (R) are true but (R) is not the correct explanation of (A)
(3) (A) is true but (R) is false
(4) (A) is false but (R) is true
SECTION-V : MATRIX MATCH TYPE
This section contains 1 Matrix Match type question, which has 2 Columns (Column-I and Column-II). Column-I
has four entries (A), (B), (C) and (D), Column-II has four entries (P), (Q), (R) and (S). Match the entries in
Column-I with the entries in Column-II. Each entry in Column-I may match with one or more entries in Column-II.
The OMR contains a 4 × 4 matrix whose layout will be similar to the one shown below:
For each entry in Column-I, darken the bubbles of all the matching entries. For example, if entry (A) in Column-I
matches with entries (Q), (R) and (S), then darken these three bubbles in the OMR. Similarly, for entries (B), (C)
and (D).
22. Match the ionic solids given in Column-I with some of their properties given in Column-II.
Column-I
(Ionic solids)
Column-II
(Properties)
(A) RbBr (P) Co-ordination number of cation = 4
(B) BeO (Q) Co-ordination number of cation = 8
(C) Mn3O4 (R) Co-ordination number of cation = 6
(D) CsCl (S) Contains metal ion in two different oxidation
states
(A)
(B)
(C)
(D)
(P)
(P)
(P)
(P)
(Q)
(Q)
(Q)
(Q)
(R)
(R)
(R)
(R)
(S)
(S)
(S)
(S)
ANTHE-2020 (Engineering) (For Class XII Studying moving to XII Passed) - (Sample Paper)
9
Space for Rough Work
MATHEMATICS
SECTION-I : SINGLE ANSWER TYPE
This section contains 6 multiple choice questions. Each question has 4 choices (1), (2), (3) and (4) out of which
ONLY ONE is correct.
23. If 3( ) 1 f x x x then the complete set of values of x for which 31 ( ) ( ) (1 5 ) f x f x f x is
(1) (–2, 0) (2) ( , 2) (0, 2)
(3) (2, ) (4) ( 2, 0) (2, )
24. If [ ] denotes the greatest integer function then
4
0
[sin cos ]
x x dx equals
(1) – (2) –2
(3) (4) 2
25. Let
2 2
2 2
2 2
sin cos 1 4sin4
( ) sin 1 cos 4sin4
1 sin cos 4sin4
x x x
f x x x x
x x x
. The value of 4
f
is
(1) 1 (2) 2
(3) –2 (4) –1
26. If P, Q and P + Q are non-singular matrices then (P–1
+ Q–1
)(P – P(P + Q)–1
P) equals
(1) I (2) O
(3) P (4) Q
27. If
1/
2
cot , 0( ) 4
, 0
x
x xf x
ke x
be continuous at x = 0 then k equals
(1) e2 (2) e
4
(3) e–2
(4) e–4
(For Class XII Studying moving to XII Passed) - (Sample Paper) ANTHE-2020 (Engineering)
10
Space for Rough Work
28. If 1cos3
x , then the value of x is
(1) 3
2 (2)
1
2
(3) 1 (4) 0
SECTION-II : MORE THAN ONE ANSWER TYPE
This section contains 3 multiple choice questions. Each question has 4 choices (1), (2), (3) and (4) out of which
MORE THAN ONE answer may be correct.
29. Let
/2
0
sin ,nnI x dx
then
(1) 2 1 2 1
2
2 1
m m
mI I
m (2) 2 1 2 1
2 1
2
m m
mI I
m
(3) 2 1
2 1
lim 1m
m m
I
I
(4) 2 1
2 3
lim 1m
m m
I
I
30. The possible value(s) of a for which the equation 3 3 0x x a has three real and distinct roots is/are
(1) –3 (2) –1
(3) 1 (4) 3
31. If
1 3 4
5 2 2 0
4 1 6
x
x
, then value(s) of x is/are
(1) 0
(2) 17
(3) 21
(4) 35
ANTHE-2020 (Engineering) (For Class XII Studying moving to XII Passed) - (Sample Paper)
11
Space for Rough Work
SECTION-III : PARAGRAPH TYPE
This section contains a paragraph. Based upon this paragraph, 2 multiple choice questions have to be answered.
Each question has 4 choices (1), (2), (3) and (4), out of which ONLY ONE is correct.
Paragraph for Q. Nos. 32 & 33
Let f be a differentiable function such that 1
8 ( ) 6 5 ( 0)
f x f x xx
and 2 ( )y x f x then answer the following
questions.
32. (1)f equals
(1) 1 (2) –1
(3) 1
2 (4)
1
2
33. The value of dy
dx at x = 1 is
(1) 15
14 (2)
17
14
(3) 19
14 (4)
17
14
SECTION-IV : ASSERTION & REASON TYPE
This section contains 1 Assertion-Reason type question, which has 4 choices (1), (2), (3) and (4) out of which
ONLY ONE is correct.
34. A : Derivative of tan x w.r.t. x2 is
2sec
2
x
x.
R : Derivative of f(x) w.r.t. g(x) is
( )
( )
df x
dxdg x
dx
.
(1) Both (A) and (R) are true and (R) is the correct explanation of (A)
(2) Both (A) and (R) are true but (R) is not the correct explanation of (A)
(3) (A) is true but (R) is false
(4) (A) is false but (R) is true
(For Class XII Studying moving to XII Passed) - (Sample Paper) ANTHE-2020 (Engineering)
12
Space for Rough Work
SECTION-V : MATRIX MATCH TYPE
This section contains 1 Matrix Match type question, which has 2 Columns (Column-I and Column-II). Column-I
has four entries (A), (B), (C) and (D), Column-II has four entries (P), (Q), (R) and (S). Match the entries in
Column-I with the entries in Column-II. Each entry in Column-I may match with one or more entries in Column-II.
The OMR contains a 4 × 4 matrix whose layout will be similar to the one shown below:
For each entry in Column-I, darken the bubbles of all the matching entries. For example, if entry (A) in Column-I
matches with entries (Q), (R) and (S), then darken these three bubbles in the OMR. Similarly, for entries (B), (C)
and (D).
35. Match Column-I and Column-II.
Column-I Column-II
(A) Value of 1 12 1 1
sin cos2 2
is
(P) 4
(B) Number of point(s) where
( ) | ln| ||f x x is continuous
but non-differentiable, is
(Q) 2
(C) Maximum value of 2( ) 4 f x x x is (R) 1
(D) The area bounded by curves 2 3y x
and x = 1 (in square units) is
(S) 4
3
(A)
(B)
(C)
(D)
(P)
(P)
(P)
(P)
(Q)
(Q)
(Q)
(Q)
(R)
(R)
(R)
(R)
(S)
(S)
(S)
(S)
Regd. Office: Aakash Tower, 8, Pusa Road, New Delhi-110005
Ph.: (011) 47623456 | TOLL-FREE No. 1800-103-2727
India's Trusted Name in Coaching
Our Result in Medical & Engineering Entrance Exams 2019
Our Result in Olympiads/Scholarship Exams
69826 Classroom + 10255 Distance & Digital
80081 in NEET576 Classroom + 112 Distance & Digital
688 for AIIMS7250 Classroom + 629 Distance & Digital
7879 in JEE (Main)1441 Classroom + 192 Distance & Digital
1633 in JEE (Adv.)
1598 in PRMO2019
1556 Classroom + 42 Distance & Digital
949 in NTSEStage-I 2019-20 Stage-II 2019
832 Classroom + 117 Distance & Digital
366 in NTSE
317 Classroom + 49 Distance & Digital
767 in NSEs2019
701 Classroom + 66 Distance & Digital 466 Classroom + 15 Distance & Digital
481 in IMO Level-I 2018-19
800 in NSOLevel-I 2019-20 2020
728 Classroom + 72 Distance & Digital
26 in INO
20 Classroom + 06 Distance & Digital
2019115 in RMO
111 Classroom + 4 Distance & Digital
Edition: 2020-21