physics, chemistry &...
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Space for Rough Work
Sample Paper (Engineering) Aakash Talent Quest 2017
1
Aakash Talent Quest 2017Aakash Talent Quest 2017Aakash Talent Quest 2017Aakash Talent Quest 2017Aakash Talent Quest 2017(((((for Class XII Studying / Passed Studentsfor Class XII Studying / Passed Studentsfor Class XII Studying / Passed Studentsfor Class XII Studying / Passed Studentsfor Class XII Studying / Passed Students)))))
SECTION-A : PHYSICS
1. An -particle is moving in a circular orbit of radius R
with frequency f. The magnetic field at the centre of
the orbit is
(1)R
ef
2
0(2)
R
ef0
(3)R
ef
2
0
(4) Zero
2. The maximum charge can be given to the outer
surface so that there is no breakdown of air around.
Given that breakdown field strength of air is Eb (both
spheres are made of conducting material).
r
2r
(1)2
08
br E
(2)2
02
br E
(3)2
04
br E
(4)2
0 br E
3. Equivalent resistance between points A and B is
r
A B
r
r
r
r r
r r
r r
r
r
(1)5
4r(2)
3
4r
(3)4
5r(4)
4
3r
4. The instantaneous value of current at a given instant
is 1 A. The potential difference between P and Q at
the same instant is
R = 3 i X = L
4 P Q
(1) 5 V
(2) 7 V
(3) 3 V
(4) 4 V
(The questions given in sample paper are indicative of the level and
pattern of questions that will be asked in ATQ 2017)
Space for Rough Work
Aakash Talent Quest 2017 Sample Paper (Engineering)
2
5. In the figure shown if R is angle of repose then the
minimum acceleration of the wedge for the block to
slide is
a
< R
block
wedge
(1) g tan(R + )
(2) g tan(R – )
(3) g tanR
(4) g tan
6. In the given circuit, the voltmeter records 5 V. The
resistance of the voltmeter (in ohm) is
100 50
10 V
V
(1) 200
(2) 100
(3) 10
(4) 50
7. A voltmeter of resistance 280 connected across a
cell reads its voltage to be 1.4 V while a
potentiometer reads 1.55 V. The internal resistance
of cell is
(1) 10
(2) 20
(3) 30
(4) 40
8. In the figure shown two circular coils have same
number of turns and carry equal current in same
sense. If smaller coil is midway between point P
and larger coil, then the ratio of magnetic field due
to smaller coil and larger coil at point P is
PC2 C
1
(1) 4
(2) 3
(3) 2
(4) 7
9. An AC series LR circuit consists of 75 V source of
emf , total resistance of 14 and an inductive
reactance of 48 . The current in circuit is
(1) 1 A
(2) 2 A
(3) 1.5 A
(4) 2.5 A
10. In the figure shown, a sphere of radius 2 m is rolling
without slipping on a plank. The accelerations of
plank and sphere are 3 m/s2 and 6 m/s2 in opposite
direction respectively, then angular acceleration of
sphere (in rad/s2) is
2 ma
2 = 6 m/s
2
a1 = 3 m/s
2
(1) 9
(2) 1.5
(3) 3
(4) 4.5
Space for Rough Work
Sample Paper (Engineering) Aakash Talent Quest 2017
3
11. The equivalent weight of CrI3 in given equation is
CrI3 + H2O2 + OH CrO42– + 3IO4
– + H2O
(M = Molecular weight of CrI3)
(1)M
24
(2)M
11
(3)M
15
(4)M
27
12. Which of the following undergo esterification more
readily?
(1) HCOOH and C2H5OH
(2) C3H7COOH and C4H9OH
(3) C6H5COOH and C4H9OH
(4) C6H5CHO and C2H5OH
13.Br /h
2
Product
(P)
The product (P) is
(1)
Br
(2)
Br
(3)
Br
(4)
Br
SECTION-B : CHEMISTRY
14. Which is most reactive towards Cannizzaro reaction?
(1)
CHO
(2)
CHO
Cl
(3)
CHO
CN
(4)
CHO
CH3
15. Arrange the following compound in decreasing order
of reactivity of SN1 reaction
(I)
CH – Cl2
HO
(II)
CH – Cl2
(III)
CH – Cl2
CN
(1) I > II > III (2) II > III > I
(3) III > I > II (4) I > III > II
Space for Rough Work
Aakash Talent Quest 2017 Sample Paper (Engineering)
4
16. Which of the following is correct?
(1) H2O > R – OH > CH CH > NH3 Acidic strength
(2) (RCO)2O > RCOOH > R – OH > R – X
Boiling point
(3) R – I > R – Br > R – Cl > R – F
Reactivity towards nucleophilic substitution
(4) All of these
17. Which of the following has unstable enol form?
(1)
O
(2)
O
(3)
O O
(4) CH – C – CH – C – CH3 2 3
O O
18.2 (solid) 2
H O H O(l)���⇀↽���
Forward direction is favoured by
(1) High temperature and low pressure
(2) Low temperature and low pressure
(3) High temperature and high pressure
(4) Low temperature and high pressure
19. The given graph is for adiabatic reversible process.
The correct match of gases is
V
P
A
B
C
(1) A – He (2) A – CH4
B – O2 B – He
C – CH4 C – O2
(3) A – O2 (4) A – CH4
B – CH4 B – O2
C – He C – He
20. MnO4
–
Acidic medium
Neutral medium
Basic medium
n-factor for MnO4– in acidic, neutral and basic
medium are x, y and z respectively, then the value
of x z
y
is __________.
(1) 0
(2) 2
(3) 1
(4) 4
Space for Rough Work
Sample Paper (Engineering) Aakash Talent Quest 2017
5
21. Consider a function defined as
⎪⎩
⎪⎨
⎧
0,
0,)1log(
)1–)((sin)(
xk
xxx
ex
xf
x
If f(x) is continuous at x = 0, then the value of k is
(1) –1 (2) 0
(3) 3 (4) 1
22. Let f(x) = 1 24 10 1;x x x 1 x 26 be
a real valued function. Then, f'(x) for 1 < x < 26 is
(1)1
1x (2) 0
(3) 2 1 5x (4) 1
23.
1
–( 1)
0 0 0
1( 1) 2
!
n
k x
n k
k dxn
⎡ ⎤⎢ ⎥
⎣ ⎦∑ ∑ ∫ is equal to
(1)1 1
log 2 2
⎛ ⎞⎜ ⎟⎝ ⎠e
e e (2)1 1
log 2 2e
e e⎛ ⎞⎜ ⎟⎝ ⎠
(3) 11
log 2
e
e (4) 1log2
log 2
e
e
24. The length of the subnormal of the curve
y = x3 + x2 + x + 1 at (1, 4) is
(1) 24 (2) 12
(3) 36 (4) 48
25. The area of the ellipse given by the equation
3x2 + 4xy + 3y2 = 1 is equal to
(1)2
5
sq. units (2)
5
sq. units
(3)2 2
sq. units (4)
5 2
sq. units
26.
1
–1
1 1(sin ).log .
1– –1
x
x
x ex dx
x e
⎛ ⎞⎛ ⎞ ⎛ ⎞⎜ ⎟⎜ ⎟⎜ ⎟ ⎜ ⎟⎜ ⎟⎝ ⎠ ⎝ ⎠⎝ ⎠∫ equals
(1) 0 (2) 1
(3) 2 (4) 4
27. Consider a real valued function f(x) satisfying
2 ( ) ( ( )) ( ( ))y x
f xy f x f y for all x, y R and f(1) = 5,
then
10
1
32 ( )
i
i f i
∑ is equal to
(1) 2(39 × 511 + 5)
(2) 7 × 511 + 5
(3) 4(510 – 1)
(4) 510 – 1
28. The number of real roots of the equation
6/5 3/526 27 0x x is
(1) 0 (2) 1
(3) 2 (4) 3
29. Sum of last 40 coefficients in the expansion of
(1 + x)79, when expanded in ascending powers of x, is
(1) 239 (2) 238
(3) 80C40 – 229 (4) 278
30. Four letters are selected at random from the letters
of the word SUCCESS, then the probability that the
three letters are same and one is distinct is
(1)2
11(2)
6
11
(3)1
11(4)
3
11
SECTION-C : MATHEMATICS
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