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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)


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



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


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



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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